The rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet
How to determine the rock's height?The function is given as:
d = √216 +h²
At a distance of 100 feet, it means that:
d = 100
So, we have:
√216 +h² = 100
Take the square of both sides
216 +h² = 10000
Subtract 216 from both sides
h²= 9784
Take the square root of both sides
h = 98.9
Hence, the rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet
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The band is raising money for their spring trip. they need to raise at
least $1500. earlier in the year, they made $575 on their annual fruit sale.
now they are selling donuts, where they will earn $5 profit for each box
of donuts they sell. which inequality could be used in order to
determine the number of boxes of donuts, d, they must sell in order to
meet their goal?
The inequality that can be used to determine the number of boxes of donuts, d, they must sell in order to meet their goal is $1500 ≥ $575 + $5d.
What is the inequality?Here are inequality signs and what they denote:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toTotal amount that needs to be raised ≥ amount made at the fruit sale + (profit per box x number of boxes)
$1500 ≥ $575 + $5d
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5. you work at a t-shirt printing business. 175 of 3,500 t-shirts shipped are printed improperly. what is the experimental probability that a t-shirt is printed improperly?
a: 6%
b: 1.75%
c: 5%
d: 35%
Answer:
C: 5%
Step-by-step explanation:
175 out of 3500 = 175/3500
175/3500 = 1/20
1/20 = 0.05
0.05 = 5%
Answer:
C 5%
Step-by-step explanation:
I am smart so trust me
Jane earns an annual salary of £14000 and receives
a pay rise of 1.8%
Lenny earns an annual salary of £11000 and
receives a pay rise of 1.7%
Find which of the employees has the larger pay
increase and by how much.
The employee that has the larger pay increase is Jane. Her income is larger by £65.
Which employees has the larger pay increase?Percentage is the fraction out of an amount that is usually expressed as a number out of hundred.
Increase in Jane's salary = £14,000 x 0.018 = £252Increase in Lenny's salary = £11,000 x 0.017 = £187Difference in increase = $252 - £187 = £65To learn more about percentages, please check: https://brainly.com/question/25764815
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Which lists the steps in the correct order to find the median of this data set? 24, 16, 23, 30, 18, 29 O 1. Put the numbers in order. 2. Cross off high/low pairs. 3. Add the leftover numbers. 4. Divide the sum by 2. O1. Put the numbers in order. 2. Cross of high/low pairs. 1. Cross off high/low pairs. 2. Add the leftover numbers. 3.Divide the sum by 2. 1. Cross of high/low pairs.
Median is the central tendency of the data and always exists in the middle of the data set.
What is the median?The Median is the middlemost value of the numbers arranged in the ascending orders. Median is the central tendency of the data and always exists in the middle of the data set.
The process of finding the median if the number of data points is even is as follows:
Put the numbers or the data points in the order(increasing or decreasing i.e. ascending or descending order)Next cross of the high/ low pairsAdd the leftover numbersand divide the number( as obtained in the above step by 2)( if the number of data pints were even then we just need to arrange the numbers and cross the high/low pair and only one data point will be left which acts as the Median of the data set)
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Given the right triangle, evaluate: sin 0.
Answer: B. 5/13
This is the same as writing [tex]\frac{5}{13}[/tex]
==========================================================
Reason:
We have two given sides of this right triangle. Use the pythagorean theorem to find the missing side.
a = 5 and b = 12 are the two known legs; c is the unknown hypotenuse
[tex]a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{5^2+12^2}\\\\c = \sqrt{25+144}\\\\c = \sqrt{169}\\\\c = 13\\\\[/tex]
The hypotenuse is exactly 13 units long. This is a 5-12-13 right triangle.
Now we can compute sine of theta
[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{5}{13}\\\\[/tex]
This points us to choice B as the final answer.
----------------
Extra Info (optional)
5/12 is the value of tan(theta) since it's opposite/adjacent12/5 is the value of cot(theta), the reciprocal of tangent12/13 is the value of cos(theta), because cos = adjacent/hypotenusethe lenth of a rectangle is twice the width if the permeter is 20 cm find the width
L = 2W
perimeter = 2( L + W ) = 20 .
2 ( 2W + W ) = 20
6 W = 20
W = 20/6
= 10/3
L = 20/3
Answer:
10/3
Step-by-step explanation:
Given properties of the rectangle:
The length is twice the width ( So we can say l = 2w ) The perimeter is 20cmGiven this we want to find the width of the perimeter.
Creating a system of equation:
First off we know that perimeter = 2L + 2W
We also know that the perimeter of this rectangle is 20 cm
So we can say that 20 = 2L + 2W
We also know that the length of this rectangle is twice the width or in other words l = 2w
So we have the two equations, 20 = 2l + 2w and l = 2w
Solving the system:
We are going to use the substitution method to solve this system.
The substitution method works when you have two equations, one can be just a plain equation but the other must have one of the variables defined ( by itself on either side of the equal sign )
If you have one of the variables defined, you can plug it in ( substitute ) into the other equation and solve for the other variable.
Plugging in the defined variable into the other equation
Equation : 20 = 2l + 2w
Defined variable : l = 2w
==> plug in l = 2w
20 = 2(2w) + 2w ( now we solve )
==> multiply 2 and 2w
20 = 4w + 2w
==> combine like terms
20 = 6w
==> divide both sides by 6
20/6 = w
==> simplify fraction
10/3 = w
The width = 10/3
Checking our work:
First we must solve for length as well
Solving for length by plugging in width into either equation
l = 2w
==> plug in w = 10/3
l = 2(10/3)
==> multiply 2 and 10/3
l = 20/3
Now to check our we we plug in the length and width into both equations, if both are true then our answer is correct
Equation 1 : 2l + 2w = 20
==> plug in l = 20/3 and w = 10/3
2(20/3) + 2(10/3) = 20
==> simplify multiplication
40/3 + 20/3 = 20
==> add fractions
20 = 20
Equation 2 : l = 2w
==> plug in l = 20/3 and w = 10/3
20/3 = 2(10/3)
==> multiply 2 and 10/3
20/3 = 20/3
Both are correct so our final answer is correct as well! :)
Needing help with these 2 problems
Answer:
15) 3.2
17) 13.4
Step-by-step explanation:
To find the missing lengths, you need to use the Pythagorean theorem:
a² + b² = c²
In this form, "c" represents the length of the hypotenuse and "a" and "b" represent the lengths of the other two sides.
You are trying to find one of the side lengths (not the hypotenuse) in 15). To find the other length, you can plug the other values into the equation and simplify to find "b".
15) a = 4.1 c = 5.2
a² + b² = c² <----- Pythagreom Theorem
(4.1)² + b² = (5.2)² <----- Plug values in for "a" and "c"
16.81 + b² = 27.04 <----- Raise numbers to the power of 2
b² = 10.23 <----- Subtract 16.81 from both sides
b = 3.2 <----- Take the square root of both sides
You are trying to find the hypotenuse in 17). Since you have been given the lengths of the other sides, you can plug them into the equations and simplify to find "c".
17) a = 4.4 b = 12.7
a² + b² = c² <----- Pythagreom Theorem
(4.4)² + (12.7)² = c² <----- Plug values in for "a" and "b"
19.36 + 161.29 = c² <----- Raise numbers to the power of 2
180.65 = c² <----- Add
13.4 = c <----- Take the square root of both sides
Two airplanes leave Chicago at the same time and fly in opposite directions. If one travels at 450 miles per hour and the other at 550 miles per hour, how long will it take for them to be 4000 miles apart
450t+550t=4,000
1000t=4000
t=4000/1000
t=4 hours they will be 4,000 apart.
------------------------------------------
20t+12(4.5-t)=70
20t+54-12t=70
8t=70-54
8t=16
t=16/8
t=2 hours at 20 mph.
proof
20*2+12(4.5-2)=70
40+12(2.5)=70
40+30=70
70=70
A jar contains five blue marbles, six red marbles, and four green marbles. What are the odds you will draw a blue marble from this jar?
Answer:
Probability=number of specific outcomes/total of all possible outcomes
There are 5 blue marbles and a total of 15 marbles.
So the probability of drawing a blue marble from the jar is:
5/15
1/3
Step-by-step explanation:
Hope this helps
Please help me with this one.
Answer:
V = 16W = 48Step-by-step explanation:
The triangles are congruent when corresponding sides are congruent.
__
ΔFGH ≅ ΔABC means corresponding sides are ...
(GH, BC) = (V, 16)
(HF, CA) = (48, W)
Corresponding sides being congruent means ...
V = 16
W = 48
Find the measure of
Answer:
h=70°
Step-by-step explanation:
h + 110° = 180° {linear pair angles}
h = 180° - 110°
h = 70°
Answer:
h=70
pa brainliest po kuya/ate
Step-by-step explanation:
pa brainliest po
Solving for interior angle measures, what is the m
Using the triangle sum theorem, the value of angle ACB in the triangle is: B. 50°.
What is the Triangle Sum Theorem?According to the triangle sum theorem, the sum of all the angles in a triangle equals 180 degrees.
90 + 7x - 20 + 4x = 180
70 + 11x = 180
11x = 180 - 70
11x = 110
11x/11 = 110/11
x = 10
m∠ACB = 7x - 20
Plug in the value of x
m∠ACB = 7(10) - 20
m∠ACB = 50° (option B).
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In the statement 10 +(-10) =0, how would you describe the -10?
Answer:
-10 is the opposite of 10
Step-by-step explanation:
-10 is the opposite of 10 ,because The sum of a number and its opposite equals to zero.
A company provides snack-sized packages of nuts for its office employees.
employees can choose from among five kinds of nuts. which probabilities
correctly complete this probability distribution for 50 packages of nuts, in the
order listed?
nuts
almonds cashews mixed peanuts pecans
12
10
6
14
8
number of
packages
probability
a. probability 0.32 0.24 0.14 0.2 0.1
The probabilities that correctly complete this probability distribution for 50 packages of nuts will be 0.24, 0.2, 0.12, 0.28, and 0.16.
How to calculate the probability?From the information given, we have to find the probability for each fruit. This will be:
Almond = 12/50 = 0.24
Cashew = 10/50 = 0.2
Mixed = 6/50 = 0.12
Peanut = 14/50 = 0.28
Pecan = 8/50 = 0.16
Therefore, the probabilities that correctly complete this probability distribution for 50 packages of nuts will be 0.24, 0.2, 0.12, 0.28, and 0.16.
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Solve the given inequality and graph the solution on a number line. -X/2 -3/2 = 5/2
No Links:
Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of the triangle.
Answer:
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
Step-by-step explanation:
Answer:
c = a√2
Step-by-step explanation:
Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of the triangle.
since there is no measure, I will write you the formula:
c (hypotenuse) = a√2
plaese explain this exe i can't understand and tomorrow i have an exman of metahmatice
Answer:
B: 610; A: 202,000
D: 253; C: 2,007,000
Step-by-step explanation:
These are all expressions that can be calculated as is, or that can be simplified a little bit by taking advantage of the distributive property and other properties of addition and multiplication. The idea is to look for numbers that show up more than once, and rearrange the expression so they only show up once.
__
B = (597 -176) +(13 +176)This is a straight addition problem. The two "176" values have opposite signs, so cancel when they are added. Using the associative and commutative properties of addition, we can rearrange this to ...
597 +13 +(-176 +176)
= 597 +13
This can further be rearranged to ...
= (597 +3) +(13 -3)
= 600 +10
= 610
__
A = 2020×173 -2020×73The factor 2020 can be put outside parentheses using the distributive property:
= 2020(173 -73)
= 2020×100
= 202,000
__
D 17×15 -15 +13The value 15 is repeated. Terms using it can be combined using the distributive property.
= 15(17 -1) +13
= 15(16) +13
= 240 +13
= 253
Another way to look at this one is to use the factoring of the difference of squares.
= (16 +1)(16 -1) +(-15 +13)
= 16² -1² +(-2)
= 256 -3
= 253
__
C 2019×890 -(12000 -2019×110)Again, we can focus on rearranging so 2019 only needs to show up once.
= 2019(890 +110) -12000
= 2019×1000 -12×1000
= (2019 -12)×1000
= 2,007,000
Which statements are true about the graph of function f? f(x)=logx
The true statement about is the graph has a range of {y|-∞ < y < ∞} and decreases as x approaches 0.
What is a logarithm function?A logarithm function is a type of function that represents the inverse of an exponential function. Mathematically, a logarithmic function is written as [tex]y =log_ax[/tex].
The domain of the given logarithm function f(x) = logx is (x > 0) and its graph wouldn't touch the vertical axis but moves to the right.
Also, the logarithmic function increases as the value of x increases. Thus, this function would decrease when x approaches zero (0).
In conclusion, we can deduce that the range of this function is -∞ < y < ∞.
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Answer:
domain:
c. The graph has a domain of {x|0<x<∞} and approaches 0 as x decreases.
and pretty sure the range is:
b. The graph has a range of {y|-∞<y<∞}and decreases as x approaches 0.
because all real numbers
Step-by-step explanation:
hope this helped
1 . A rope was 14.35 inches long. Megean cut the rope into 7 pieces of equal length. What was the length of each piece of rope in inches
2. Scott drank 3.5 bottles of water yesterday . Each bottle contained 1.2 pints of water. what was the number of pints of water Scott drank yesterday
Division is one of the four fundamental arithmetic operations. The number of pints of water Scott drank yesterday is 4.2 pints.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
A rope was 14.35 inches long. Megean cut the rope into 7 pieces of equal length. Therefore, the length of each piece of rope in inches will be,
Length of piece = 14.35 inches/7 = 2.05 inches
Scott drank 3.5 bottles of water yesterday . Each bottle contained 1.2 pints of water. Therefore, the number of pints of water Scott drank yesterday is,
Number of pints = 3.5 bottles × 1.2 pints = 4.2 pints
Hence, The number of pints of water Scott drank yesterday is 4.2 pints.
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1. What is the difference between the altitude rule and the leg rule?
Answer:
The altitude to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the original triangle
The Leg Rule (or Leg geometric mean theorem) relates the length of each leg of a right triangle with the segments projected by them on the hypotenuse.
Step-by-step explanation:
The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse. Notice the triangle used with this rule. The leg of a right triangle is the mean proportional between the hypotenuse and the projection of the leg on the hypotenuse.
[tex]\huge\fbox\green{question}[/tex]
#Combine the members of the following sets to from new sets.Show the members in diagrams
a)A={Mine,Shine,Hari} and B={Ram,Sita,Dolma}
b)M={3,6,9,12>and N={5,10,15,20}
c)A={Mari,Rahlm,Bishnu}and B={Bishnu, Kishan,Dorge}
d)C={4,8,12,16,20} and F={8,16,24,32}
Refer to the attachment
Write the equation of the following line in slope-intercept form. X
Answer:
[tex]y=-\frac{1}{2}x+2[/tex]
Step-by-step explanation:
The equation for slope-intercept form is [tex]y=mx+b[/tex].
First, we find b by looking at where the line passes through where [tex]x=0[/tex]. We can see that it is 2, so in our equation for slope-intercept form [tex]b=2[/tex].
Next, we find the slope or m. Find the slope by taking two points and plugging them into this expression [tex]\frac{x_{1}-x_{2}}{y_{1}-y_{2}}[/tex]. To demonstrate, I will choose points (0,2) and (2,1), however, any pair of points will give you the same answer. When we plug in these points, we should get the expression [tex]\frac{0-2}{2-1}[/tex]. By solving this, we get -1/2. Therefore, in our equation for slope-intercept form, [tex]m=-\frac{1}{2}[/tex].
By putting the information we have about m and b together, we get the equation [tex]y=-\frac{1}{2}x+2[/tex].
Please solve this ASAP!!!
What is the value of the expression below?
2[3(16+)]-8
Answer:
94Step-by-step explanation
2 * [3 * (16 + 1)] - 8 =
2 * [3 * 17] - 8 =
2 * 51 - 8
102 - 8 =
94
A trellis consists of overlapping wooden slats.
1.What is the position of the indicated angles?
2.What should the value of x be in order for the two slats to be parallel?
3. Which theorem or postulate will you use to prove the parallel slats?
4. Find the measure of the indicated angle
The position of the angles are corresponding angles.
The value of x should be 6 for the slats to be parallel.
The theorem use to prove the parallel slat is the corresponding angle theorem.
The measure of the indicated angles are 42 degrees.
How to know a corresponding angles?Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.
Therefore, the position of the angles are corresponding angles
Since the angles are corresponding angles, they are congruent.
Therefore,
3x + 24 = 7x
24 = 7x - 3x
24 = 4x
x = 6
The theorem use to prove the postulate is the corresponding angle theorem.
The measure of the indicated angle can be calculated as follows:
7(6) = 42 degrees.
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please help me with this if you can? thanks alot :)))
The probabilities are:
P(red) = 5/24P(orange) = 0 P(blue) = 1/3P(not green)= 17/24P(green or black) = 11/24P(not yellow) = 1.How to find the probabilities?
The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.
Here we have:
5 red marbles.7 green marbles.4 black marbles.8 blue marbles.So the total number is 5 + 7 + 4 + 8 = 24.
Then:
P(red) = 5/24P(orange) = 0/24 = 0 (because there are 0 orange marbles).P(blue) = 8/24 = 1/3P(not green) = (24 - 7)/24 = 17/24P(green or black) = (4 + 7)/24 = 11/24P(not yellow) = 24/24 = 1 (because there aren't yellow marbles).If you want to learn more about probability, you can read:
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What is the range of function g if g(x) =-2f(x-3)
Answer:
If you entered the function correctly there is not a range
Step-by-step explanation:
Answer: {y|-♾<y<0}
Step-by-step explanation: i’m taking this summer school class
a) Work out the size of angle x. b) Give reasons for your answer. + A E C xº B F 105° G D H
Check the picture below.
Mike is adding 145 and 237. his work is shown. how can mike find the sum?
Answer:the answer is 352
Step-by-step explanation: mike can find the sum by adding the two numbers 145+237=352 to make it simpler you can start by adding the hundreds then the tens and then the ones.
5 less than a number b is 16
[tex] \begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: 5 < b = 6 \: \: \: or \: \: \: b - 5 = 6 } \\ \end{gathered}[/tex]
Solution :-[tex] \begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: b - 5 = 6 } \\ \end{gathered}[/tex]
[tex] \begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: b = 6 + 5 } \\ \end{gathered}[/tex]
[tex] \begin{gathered}\\ \large\dashrightarrow \: \: \underline{ \boxed{\mathbf \red{ \: \: b = 11 \: \: }}} \\ \end{gathered}[/tex]
Hence,b is equal to 11 .▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Additional information[tex]\begin{gathered}\begin{gathered}\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \small \color{blue}{ \underline{\boxed{ \begin{array}{cc} \small \underline{\underline{\bf{ \color{red}{{ \orange \bigstar \: MᴏʀE \: IᴅᴇɴᴛɪᴛɪᴇS \: \orange \bigstar}}}}} \\ \\ \: \frak{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} }\:\\ \\ \: \frak{ {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} }\:\\ \\ \: \frak{ {x}^{2} - {y}^{2} = (x + y)(x - y)}\:\\ \\ \: \frak{ {(x + y)}^{2} - {(x - y)}^{2} = 4xy}\:\\ \\ \: \frak{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}\:\\ \\ \: \frak{ {(x + y)}^{3} = {x}^{3} + {y}^{3} + 3xy(x + y)}\:\\ \\ \: \frak{ {(x - y)}^{3} = {x}^{3} - {y}^{3} - 3xy(x - y) }\:\\ \\ \: \frak{ {x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2} )}\: \\ \: \end{array} }}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered} \: \: [/tex]
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
^०^