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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PLS I NEED 100% TO GET A GOOD MATH GRADE THIS YEAR
The following box plot shows the number of years during which 24 schools have participated in an interschool swimming meet:
At least how many schools have participated for 1 year or less? (5 points)
6 schools
8 schools
12 schools
14 schools
1 year or less is at the first quartile mark in the box plot, therefore, the number of schools that participated for a year and less is: A. 6 schools.
What is the First Quartile of a Data Represented in a Box Plot?The data point at the beginning of the edge of the rectangular box in a box plot is the first quartile mark of the data, which is 1/4 or 25% of the data.
1 year or less is at the first quartile mark in the box plot. That is 1/4 of the total number of schools.
Therefore, schools that participated for a year and less = 1/4(24) = 6 schools.
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Which of the following could not be the value of sin(0)
The ratio of any side and hypotenuse is always less than 1.
The question seems incomplete
The options are not given the options are
a. 1
b. 0.5
c. 2
What is the sin ratio?[tex]sin\theta=\frac{Opposite side}{hypotenuse}[/tex]
Therefore, the ratio of any side and hypotenuse is always less than 1. Now, in the case of 0 or 90 degrees, the figure is no longer a triangle because one of the sides ceases to exist while the other side coincides with the hypotenuse.
This is the reason that in these extreme cases, sin and cosine take values 0 or 1.
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Drag the correct value into each box on the number line.
To identify the value that goes in each box, we must perform the corresponding operation and calculate the final result.
How to perform a mathematical operation?In mathematics there are procedures such as addition (+), subtraction (-), division (÷), and multiplication (×) to solve problems. These operations are the four basic operations of mathematics.
According to the above, what we must do is identify what operation we must perform with the given numbers and then identify the result and put it in the corresponding box.
Note: This question is missing because there is some information missing. Howeve i can answer it based on my general knowledge.
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In 2009, a principal of $3600 was invested at 3.75% interest, compounded annually. let t be the number of years since 2008. let y be the value of investment, in dollars. Write an exponential function showing the relationship between y and t.
Answer:
3,600 x (1.0375) ^ 1
Step-by-step explanation:
Compund interest formula.
IA * (r + 1) ^t
IA = Initial amount; r = rate (as decimal); t = time (in years)
IA = 3600
r = .0375
t = 1 (2008-2009)
3,600 x (1.0375)^1
-- Gage Millar, Algebra 1/2 Tutor, (Pending Pre-Calc Tutor)
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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martina must choose a number between 49 and 95 that is multiple of 2,8 and 10. write all the numbers that she could choose.
Answer:
80
Step-by-step explanation:
10 limits it to 50, 60, 70, 80, and 90
2 eliminates none since 50=25, 60=30, 70=35, 80=40 and 90=45
8 divided by each number only leaves one option of 80. (80/8= 10) (80/10=8) (80/2=40)
I need help please help me and thank you :))
Answer:
see explanation
Step-by-step explanation:
∠ CZD = 90° , then
∠ CZF = 90° - ∠ FZD = 90° - 40° = 50°
∠ FZD and ∠ AZG are vertically opposite angles and are congruent , so
∠ AZG = 40°
∠ CZF and ∠ GZE are vertically opposite angles and are congruent , so
∠ GZE = 50°
E
∠ AZB + ∠ BZC = 90° , that is
3x - 2 + 32 = 90
3x + 30 = 90 ( subtract 30 from both sides )
3x = 60 ( divide both sides by 3 )
x = 20
Help is this a reflection or a rotation??
My exam is on Tuesday and I’m confused
Answer:
reflection
Step-by-step explanation:
its like a mirror, if it were rotated, they wouldnt line up as the same image. think of this like looking in a mirror! :)
Which equation has the solution x=4?
Answer: Option C is correct.
Part A
⇒ 4x = 20
⇒ x = 20/4
⇒ x = 5
Part B⇒ x/2 = 8
⇒ x = 8(2)
⇒ x = 16
Part C⇒ x + 8 = 3x
⇒ 3x - x = 8
⇒ 2x = 8
⇒ x = 4
Part D⇒ x = (x + 5)/2
⇒ 2x = x + 5
⇒ 2x - x = 5
⇒ x = 5
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.
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
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
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].
Can someone help me with this? Thanks!
Part (a)
There are 3 face cards (jack, queen, king) in any given suit. We have 4 suits. That gives 3*4 = 12 face cards total.
12/52 = 3/13 is the probability of getting a face card on any random selection. This probably does not change for any future selection because we put the current card back. In other words, the deck has not changed. Contrast this with part (b) where the probabilities will change since the card counts decrease each time (since we don't put the card back).
The probability of getting 3 face cards in a row, with replacement, is:
(3/13)*(3/13)*(3/13) = 0.012289 approximately
This converts to the percentage 1.2289% after moving the decimal point two spots to the right. This is the same as multiplying by 100.
Lastly, round that to one decimal place to get 1.2%
Answer: 1.2The percent sign is already taken care of, so you'll just input the number only.
=============================================================
Part (b)
Like mentioned earlier, the probability of a face card is 12/52
I won't reduce that fraction, as you'll see why below.
After that first card is not put back, the 12 decreases to 12-1 = 11 and we have 52-1 = 51 cards left over.
11/51 is the probability of getting another face card, where we have no replacement going on.
Then 10/50 is the probability of getting a third face card. Again, with no replacement.
Therefore,
(12/52)*(11/51)*(10/50) = 0.009955
is the approximate probability of getting 3 face cards in a row with no replacement. Notice the count down 12,11,10 in the numerators. There's also the countdown 52, 51, 50 in the denominators. This nice pattern only happens if we don't reduce the reducible fractions. This is why I didn't reduce.
Anyways 0.009955 converts to 0.9955% which rounds to 1.0% or simply 1%
Answer: 1can someone please explain how to factor a polynomial. {will mark as brainliest}
To factorize a polynomial you need to find the zeros, and then you can write the polynomial as a product of bynomials.
How to factor a polynomial?
For a polynomial of the form:
[tex]p(x) = A_n*x^n + A_{n-1}*x^{n-1} + ... + A_1*x + A_0[/tex]
We define the zeros as the values of x such that:
p(x) = 0.
On the above case, the degree of the polynomial is n (the maximum exponent). Then the number of zeros of the polynomial is n (same as the degree).
Once we know the n zeros, we can factorize the polynomial as:
[tex]p(x) = A_n*(x - x_1)*(x - x_2)*...*(x - x_n)[/tex]
For example, for the polynomial:
[tex]p(x) = 2x^2 - 8[/tex]
The two zeros are x = 2 and x = -2, then it can be rewriten as:
[tex]p(x) = 2*(x + 2)*(x - 2)[/tex]
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[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
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
f(s) = (= + 5)²
is it a even function or odd or both? or neither ??
Answer:
both
Step-by-step explanation:
that's the answer to the question
PLease HELP!!! 20 POINTS!!! WILL GIVE BRAINLIEST!!!
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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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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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
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
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
how to simplify 8x-6x
subtracting 6x from 8x. It's quite simple to deal with small two-part numbers like these. After subtracting 6x from 8x, you will get the answer 2x.
Quick Answer:
You simply 8x-6x by subtracting 6x from 8x, and then you will get the answer 2x
HAVE A NICE DAY
Translate the shape A three squares right and one square down.What are the coordinates of the vertices of the image?
If the shape A is translated four squares right and two squares up, the resulting coordinate point will be at (-2, 5), (-2, 2) and (0, 2)
Translation of coordinatesTranslation is a transformation technique of changing the position of an object on the xy plane
Given the coordinates of the vertices (1, 4), (1, 1), (3,1)
If the shape A is translated three squares right and one squares up, the resulting coordinate point will be at (-2, 5), (-2, 2) and (0, 2)
Note that 4 was subtracted from the x-axis and 2 added to the y-coordinates.
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[tex]\sqrt{25-10\sqrt{3}+3[/tex] Simplify this
[tex] \sqrt{25 \: - \: 10 \sqrt{3} \: + \: 3} [/tex]
Factor the indicated expression:[tex] \sqrt{(5 \: - \: \sqrt{3} ) ^{2} } [/tex]
Simplified the index index the root and also the exponent using the number 2.[tex] \boxed{ \bold{5 \: - \: \sqrt{3} }}[/tex]
MissSpanishQuestion 5 and 6 I need answers to
Answer:
and also mark me the brainliest for the answer
Step-by-step explanation:
the 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! :)