Answer:
162 metres
Step-by-step explanation:
Since h is proportional to the square of v, we know that their ratio must be constant, so [tex]v_1^2/h_1 = v_2^2/h_2[/tex] where v1 and v2 are velocities and h1 and h2 are their respective heights.
Since we are given that v = 10 and h = 8, we can set v1 = 10 and h1 = 8 and since we are trying to find the height for v = 45, we can set v2 = 45. Inputting these values into the equation and solving, we get
10^2/8 = 45^2/h2
h2 = 45^2/(10^2/8) = 162 metres
I hope this helps!
need help with this ASAP: methods for solving right triangles.
Explanation:
1) sin(37º)=x/10.3————>trigonometric ratio (sine)
2)7²+10²=c²—————-> pythagorean theorem
3) using sine—————> sin(51º)=9/x
using tangent —————> tan(51º)=9/x and x = 7.3 (rounded)
4)using pythagorean theorem————> 6²+7²=c²
angle b is tanx=6/7 where x = 40.6 degrees, angle a is tanx=7/6 where x = 49.4
Answers:
1)x= 6.2
2)x= 12.2
3)x= 11.6 (rounded)
4)x= 9.2
credit to genan for question 3 and 4
ur welcome :)
correct me if im wrong
brainliest please?
The table shows values for a quadratic function.
What is the average rate of change for this function for the interval from x = 1
to x = 3?
The average rate of change for this function for the interval from x = 1
to x = 3 will be 8. Therefore option B is correct.
How to find the average rate of change of something?Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:
[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where when
[tex]x = x_1, y = y_1\\and \\x = x_2, y = y_2[/tex]
The average rate of change can be calculated as;
From x=1 to x=3,
y = 2 and y = 18
Therefore, based on the table, when:
[tex]x_1 = 1 y_1 = 2 \\and \\x_2 = 3, y_2 = 18[/tex]
Then:
[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]\text{Average rate} = \dfrac{18 - 2}{3-1}\\\\\text{Average rate} = \dfrac{16}{2}\\\\\text{Average rate} = 8[/tex]
Therefore option B is correct.
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Which function has a vertex at (2, 6)?
f(x) = 2x21 - 6
f(x) = 2|x2| +6
f(x) = 2x + 2+ 6
f(x) = 2x + 2 - 6
The function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function that has vertex at (2, 6)
The options are:
f(x) = 2|x – 2| – 6
f(x) = 2|x – 2| + 6
f(x) = 2|x + 2| + 6
f(x) = 2|x + 2| – 6
As we know the vertex form of a quadratic function is given by:
f(x) = a(x - h)² + k
Similarly, mod function can be expressed as:
m(x) = a|x - h| + k
Here (h, k) is the vertex of a function.
In the function:
f(x) = 2|x – 2| + 6
The vertex of the function is (2, 6)
Thus, the function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
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Is this relation a function? Justify your answer.
Answer:
Can't see the problem. Send a picture of it.
BRAINLIEST AND 100 POINTS!!
Create a comparative box plot for the morning and afternoon dogs, and label each with its five-number summary.
Sara's dogs:
Morning:
39, 21, 12, 27, 23, 19, 19, 31, 36, 25
Afternoon:
15, 51, 8, 16, 43, 34, 27, 11, 8, 39
Answer:
see attached
Step-by-step explanation:
Morning:
12, 19, 19, 21, 23, 25, 27, 31, 36, 39
Min value: 12
Lower quartile (Q1): 19
Median (Q2): 24
Upper Quartile (Q3): 31
Max value: 39
Afternoon:
8, 8, 11, 15, 16, 27, 34, 39, 43, 51
Min value: 8
Lower quartile (Q1): 11
Median (Q2): 21.5
Upper Quartile (Q3): 39
Max value: 51
Answer:
7. AM IQR: 12 PM: IQR: 28 8. see below in explanation
Step-by-step explanation:
7. 31-19=12
39-11= 28
You subtract Q1 from Q3 to get the IQR.
8. I believe the morning group of dogs would be easier to walk as one group because the group has a closer range of weights (12-39) compared to the afternoon group of (8-51). Walking a large group of dogs with similar weights would be easier than walking a group of very small and very large dogs at the same time because their pace of walking would be so different.
Whoever answers correctly gets BRAINLIEST and 100 points
A regular-size box of crackers measures 214 inches by 912 inches by 14 inches. The manufacturer also sells a snack-size box that has a volume that is 15 of the volume of the regular-size box.
What is the volume of the snack-size box of crackers?
Enter your answer as a mixed number in simplest form by filling in the boxes.
$$
in³
Answer:
[tex]\sf 59 \frac{17}{20} \: in^3[/tex]
Step-by-step explanation:
Regular-size box of crackers
Dimensions: [tex]\sf 2 \frac{1}{4} \: in \times 9 \frac{1}{2}\:in \times 14\: in[/tex]
Snack-size box of crackers
Volume = [tex]\sf \frac{1}{5}[/tex] of the volume of a regular-size box
To calculate the volume of the snack-size box of crackers, calculate the volume of the regular-size box then multiply it by [tex]\sf \frac{1}{5}[/tex].
[tex]\begin{aligned}\textsf{Volume of a rectangular prism} & = \textsf{width x length x height}\\\\\implies \textsf{Volume of regular-size box} & = \sf 9 \frac{1}{2} \times 14 \times 2 \frac{1}{4}\\\\& = \sf \dfrac{19}{2} \times 14 \times \dfrac{9}{4}\\\\& = \sf \dfrac{19 \times 14 \times 9}{2 \times 4}\\\\& = \sf \dfrac{1197}{4}\: in^3\end{aligned}[/tex]
[tex]\begin{aligned}\implies \textsf{Volume of snack-size box} & = \sf \dfrac{1}{5} \times \textsf{volume of regular-size box}\\\\& = \sf \dfrac{1}{5} \times \dfrac{1197}{4}\\\\& = \sf \dfrac{1 \times 1197}{5 \times 4}\\\\& = \sf \dfrac{1197}{20}\\\\& = \sf 59 \dfrac{17}{20}\: in^3\end{aligned}[/tex]
Therefore, the volume of the snack-size box is [tex]\sf 59 \frac{17}{20} \: in^3[/tex]
Identify the national road that follows the coastline on the eastern side of the south Africa?
The name of the national road that follows the eastern coastline of South Africa is the N2.
Which road follows South Africa's eastern coastline?The N2 is a national road in South Africa that starts at Cape Town and goes towards the eastern part of South Africa.
It passes though Port Elizabeth, East London, Durban, and Richard's Bay which are all cities on the eastern side of South Africa and are along the coastline.
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What is the distance around the perimeter of the garden? 60 ft 60 startroot 3 endroot ft 120 ft 120 startroot 3 endroot ft
The distance around the perimeter would be 120 ft.
What is perimeter?Perimeter is the distance around the edge of a shape.
The complete question is
A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.
A rhombus is shown. Lines are drawn from each point to the opposite point to form 4 right triangles. The other 2 angle measures are 30 and 60 degrees. The base length of each triangle is 15 feet.
What is the distance around the perimeter of the garden?
let AE is the half of the diagonal AC.
AC = 30 ft.
So, AE = ½ * 30
AE = 15 ft
Now, using trigonometry
sin 30 = 15/AD
0.5= 15/AD
AD= 30 ft
Hence, distance around the perimeter would be: AD+AD+AD+AD=
=30 ft + 30 ft + 30 ft + 30 ft
= 120 ft.
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Answer:A
Step-by-step explanation: just took it
What is the scale factor of the dilation of line segment ba? one-fifth one-fourth 4 5
The scale factor of the dilation of line segment BA is 1/5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Dilation is the increase or decrease in the size of a figure.
From the diagram:
scale factor of BA = AC / CA' = 4 / (4 + 16) = 1/5
The scale factor of the dilation of line segment BA is 1/5.
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Answer:
B
Step-by-step explanation:
I do believe
EASY QUESTION Miguel plots points A, B, and C in the coordinate plane.
A. Distance between A and B is: 5 units.
B. Triangle ABC is not an equilateral triangle because only two of its sides are equal.
What is an Equilateral Triangle?An equilateral triangle has three sides that have the same length.
Given the vertices with their coordinate points as:
A (-3, 2)
B (-6, -2)
C (0, -2)
Use the distance formula, [tex]d =\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], to find AB, BC, and AC:
AB = √[(−6−(−3))² + (−2−2)²]
AB = √25
AB = 5 units
BC = √[(−6−0)² + (−2−(−2))²]
BC = √36
BC = 6 units
AC = √[(−3−0)² + (2−(−2))²]
AC = 25
AC = 5 units
Only two of the sides of the triangle, AB and AC, are equal. Therefore, it is not an equilateral triangle.
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Two times a number x increased by 8 is 20. Which one of the following
Equations represents this statement?
Considering the definition of equation, the equation that represents the statement "Two times a number x increased by 8 is 20" is: 2x + 8= 20
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The unknown values represents the number (or numbers), if any, that make the equality true. This unknown number is the solution of the equation.
This caseConsidering that:
"Twice' simply means "multiply by 2"."increased by 8" means "added or plus 8".the equation that represents the statement "Two times a number x increased by 8 is 20" is:
2x + 8= 20
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The equation for the statement "two times a number x increased by 8 is 20" is 2x+8=20.
The given statement is two times a number x increased by 8 is 20.
We need to write the equation to represent this statement.
What is an equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, two times a number x=2x
Increased by 8 is 20=2x+8=20
Hence, the equation for the statement "two times a number x increased by 8 is 20" is 2x+8=20.
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What is the ratio of the area of sector abc to the area of sector dbe? a. b. c. d. e.
The ratio of the area of sector abc to the area of sector dbe is 4/3
How to determine the ratio of the areas?For sector abc, we have:
Angle = x
Radius = 2r
For sector dbe, we have:
Angle = 3x
Radius = r
The area of a sector is:
[tex]Area =\frac{\theta}{360}* \pi r^2[/tex]
So, we have:
[tex]ABC =\frac{x}{360}* \pi (2r)^2[/tex]
Evaluate
[tex]ABC =\frac{x* \pi r^2}{90}[/tex]
For DBE, we have:
[tex]DBE =\frac{3x}{360}* \pi (r)^2[/tex]
Evaluate
[tex]DBE =\frac{x}{120}* \pi r^2[/tex]
The ratio of both areas is:
[tex]Ratio = \frac{x}{90}* \pi r^2 : \frac{x}{120}* \pi r^2[/tex]
Cancel out the common factors
[tex]Ratio = \frac{1}{90} : \frac{1}{120}[/tex]
Express as fraction
[tex]Ratio = \frac{120}{90}[/tex]
Divide
[tex]Ratio = \frac{4}{3}[/tex]
Hence, the ratio of the area of sector abc to the area of sector dbe is 4/3
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4/3
its the answer edmentum
Marcella bought a 300 pack of candied chocolates. she randomly picked out 30 candies. the results
were 8 green, 11 blue, 6 yellow, and 5 brown. how many of each color do you think is in the bag
Answer:
there are 75 colors of each candy
Step-by-step explanation:
300÷4=75
Which of the following expressions are equivalent to
4-3
?
4-8
U
ful foo
45
DONE
Answer: The correct answers are the first and the fourth one.
Step-by-step explanation:
how do i do this could you show step by step please?
Answer:
x = 2
Step-by-step explanation:
This is a 45-45-90 special right triangle. The legs in this triangle are equal and the hypotenuse is leg multiplied with √2. Refer to the picture at the bottom.
One leg is x, the second leg is x and hypotenuse x√2.
[tex]x \sqrt{2} = 2 \sqrt{2} \\\\\text{Divide both sides with } \sqrt{2} \text{ to isolate } x.\\\frac{x \sqrt{2}}{\sqrt{2}} = \frac{2 \sqrt{2}}{\sqrt{2}}\\\\x = 2[/tex]
the equation y=6.75x models the cost in dollars to purchase x pounds of steak at grocery store 1.
The true statement is the cost of steak at grocery store 1 is $0.75 less per pound than at grocery store 2.
What is the true statement?In store 1, the cost of 1 pound of steak is $6.75.
Cost of 1 pound of steak in store 2 is 15 /2 = $7.50
Difference in the cost : $7.50 - $6.75 = $0.75
Here is the complete question:
The equation y = 6.75x models the cost, in dollars, to purchase x pounds of steak at grocery store 1. This table shows the cost to buy different weights of steak at grocery store 2.
Cost of Steak at Grocery Store 2
Weight (pounds) Cost
2..........................$15.00
3..........................$22.50
5......................... $37.50
9......................... $67.50
Which statement is true?
answer choices
The cost of steak at grocery store 1 is $0.75 less per pound than at grocery store 2.
The cost of steak at grocery store 1 is $0.75 more per pound than at grocery store 2.
The cost of steak at grocery store 1 is $0.50 less per pound than at grocery store 2.
The cost of steak at grocery store 1 is $0.50 more per pound than at grocery store 2. R
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What is the surface area of the triangular prism shown?
In a test rn!! A right triangular prism. The height of the prism is 25 centimeters. The sides of the triangular ends have lengths 9 centimeters, 12 centimeters, and 15 centimeters.
86 cm2
1,008 cm2
1,350 cm2
1,080 cm2
The surface area will be equal to option B which is 1008 square centimeters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The surface area of the prism will be calculated as:-
SA = area of the three rectangular faces + area of the triangular faces
Area of the rectangular faces = ( 15 X 25 ) + ( 25 X 12 ) + ( 25 X 9 )
= 375 + 300 + 225
= 900 square cm
Area of the triangular [tex]=\sqrt{(s(s-a)(s-b)(s-c)[/tex]
= [tex]\sqrt{(18(18-15)(18-12)(18-9)}[/tex]
= √2916
= 64
Total area of the rectangular face = 2 x 54 = 108
So the total SA area of the prism will be = 900 + 108= 1008 square cm.
Therefore surface area will be equal to option B which is 1008 square centimeters.
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what is the value of y in this triangle?
Answer:
26 degrees.
Step-by-step explanation:
The angles of triangles will always add up to 180 degrees.
The first angle is 50 degrees.
The second angle, is shown with a 76 degree angle next to it.
Since this is a 180 degree line, we can find the angle of the bottom right corner by doing 180 - 76. 180 - 76 is 104.
104 + 50 = 154 degrees.
The remaining 26 degrees is the answer to the value of y.
what is the sum of the ten thousand digit and the million's digit of 1,234,567,890
Answer: The ten thousand digit is 6. And the millions digit is 4. So the answer is 10.
Quincy's retirement party will cost $30 if he invites 10 guests. If there are 16 guests, how much will Quincy's retirement party cost? Solve using unit rates.
Answer:
$48
30/10 is equal to 3/1, 16 x 3 equals to 48.
Answer:$48
Step-by-step explanation:
$30/10p = $3 per person
3x6=18
18+30=48
What is the slope of a line perpendicular to the line whose equation is 5x - y = -7.
Fully simplify your answer.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]5x-y=-7\implies 5x-y+7=0 \\\\\\ \stackrel{\stackrel{m}{\downarrow }}{5} x+7=y\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so a line perpendicular to that one above will have a slope of
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{5\implies \cfrac{5}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{5}}}[/tex]
what the 2 soultion answer to
y = 6x − 4
y = 5x − 3
[tex]y= 6x -4~~~~~~...(i)\\\\y = 5x -3~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~6x -4 = 5x -3\\\\\implies 6x -5x = -3 + 4\\\\\implies x = 1\\\\\text{Substitute x = 1 in equation (i):}\\\\y = 6(1) -4 = 2\\\\\text{Hence,}~ (x,y) = (1,2)[/tex]
A rectangular patio is 9 ft by 6 ft. when the length and width are increased by the same amount, the area becomes 88 sq ft. ginger is using the zero product property to solve the equation (6 x)(9 x) = 88. what does the value of x in her solutions represent?
Answer:
x=2
9+2=11
6+2=8
8x11+88
Step-by-step explanation:
There are 973 dozen M&M's in a jar.
How many M&M's are in the jar?
Answer:
11,676 M&M's
Step-by-step explanation:
A dozen is 12
the problem is saying that in the jar, there are 973 (12-M&M's)
973 * 12 is 11676
There are 11,676 M&M's in the jar
Answer:
they are 11,676
Step-by-step explanation:
A dozen is 12 so since there are 973 dozen, we multiply by 12.
which description is represented by a discrete graph
The statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.
What is Discrete Graph?A discrete graph is one with scattered points. They may or may not show a direction or trend. They don't have data in between the points already given.
Here only first option shows a graph with scattered point.
Thus, the statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.
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The equation of line A is y = 5 - 2x Line B is parallel to line A. Line B passes through the point (-3,7)
Work out the coordinates of the point where line B intersects the x-axis.
Answer:
The answer is (0.5, 0)
Step-by-step explanation:
I need the x axis to solve this
Answer:
As a fraction:
x | y
________
|
7/3 | 2
3 | 4
11/3 | 6
13/3 | 8
As a mixed fraction:
x | y
________
|
2 ⅓ | 2
3 | 4
3 ⅔ | 6
4 ⅓ | 8
As a decimal:
x | y
___________
|
2.33.. | 2
3 | 4
3.66.. | 6
4.33.. | 8
You should start with x values since the y values will be easier to plot. x's will not be easy to represent.
For example:
x | y
________
|
0 | -5
1 | -2
2 | 1
3 | 4
4 | 7
5 | 10
Solve for x...........................................................
Answer:
x = 2 or -2
Step-by-step explanation:
This is a regular hexagon
To find the value of x we will have to find the sum of interior angles first and to do that:
(n-2)*180 (n is the number of angles)
(6-2)*180 = 720 is the sum of all six angles
since this is a regular hexagon, all angles has equal measures so
720/6 = 120 now
30x^2 = 120 divide both sides by 30
x^2 = 4 find the root of both sides
x = 2 or -2
PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST
Write the ratio for sin A
Answer:
Step-by-step explanation:
Formula
The sin(A) = opposite / hypotenuse
Givens
Opposite = CB = 11
Hypotenuse = AB = 61
Solution
Sin(A) = 11/61
Sin(A) = 0.1803
Answer
Sin(A) = 11/61
Sin(A) = 0.1803
Solve for the x in the inequality 6(2−6x)≤4−35x 6 ( 2 − 6 x ) ≤ 4 − 35 x .
Answer:
8 ≤ x
Step-by-step explanation:
6(2 − 6x) ≤ 4 − 35x
Expand bracket;
12 - 36x ≤ 4 − 35x
Add 36x to both sides to get;
12 ≤ 4 + x
Subtract 4 from both sides to get;
8 ≤ x
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to solve the inequality 6(2-6x)≤4-35x.
[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]
[tex]\star[/tex] We need to get x all by itself.First, we can use the distributive property and distribute 6:
[tex]\star\large\pmb{12-36x\leq4-35x}[/tex]
Now, add 35x to both sides:
[tex]\star\large\pmb{12-x\leq 4}[/tex]
And now, subtract 12 from both sides:
[tex]\star\large\pmb{-x\leq-8}[/tex]
Divide both sides by -1 and watch what happens:
[tex]\star\large\pmb{x\geq 8}[/tex]
Have you noticed that the inequality sign changed from "less than" to "greater than"?
Well, that happened because we divided both sides by a negative number, -1.
Thus, [tex]\star~\large\pmb{x\geq 8}[/tex]
Hope this helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
[tex]\pmb{M^ar_ib^el\:P^eri}[/tex]