A triangular prism has a valine of 8460 in if the height of the prism is 9 in

Answer:

13

Step-by-step explanation:

It would have to be 13, because if you look at the top of the shape, you see the little 45 degrees. You can also see the 90 degrees right angle. Triangles no matter what add up to 180 degrees.

(a is the unknown angle in the bottom right)

90+45+a=180

45+a=90

a=45

now that we have that , we know that it has to be symmetrical.

so it can only be 13

hope this helps!

Answer:

the shorter piece is L ÷ 3 feet long in the case when the original stick is L feet long

Step-by-step explanation:

It is given that

The stick is L feet long

And, the two pieces are x and y

Now according to the question

It is given that

one of which is twice as long as the other

so,  

x = 2y

x + y = L

Put the value of x in the above equation

So,  

2y + y = L

3y = L

Now divide by 3

y = L ÷ 3

Hence, the shorter piece is L ÷ 3 feet long in the case when the original stick is L feet long

Answer:

l/3

Step-by-step explanation:

its not one third the answeris the variable L divided by 3

Answer:

B - ∠b and ∠f

Step-by-step explanation:

Corresponding angles are the angles in matching corners of the intersections in the traversal. Since ∠b and ∠f are in the same position relative to the intersection, they are corresponding.

Answer:

The answer is B.

Step-by-step explanation:

As you can see, box plot A is symmetrical so that applies to answers A and B. However, box B is very skewed to the right which makes it positively skewed so answer B is the only one that matches the correct description of the two box and whisker plots.

We can conclude that the distribution for town A is symmetric, but the distribution for town B is positively skewed.

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

The distribution for town A is symmetric, but the distribution for town B is positively skewed.

We can determine the skewness of the distributions by comparing the position of the median with respect to the quartiles.

In town A,

The median (30) is located at the center of the box, and the first and third quartiles (20 and 40, respectively are equidistant from the median.

This indicates a symmetric distribution.

In town B,

The first and third quartiles (20 and 30, respectively) are closer to the median (25) on the left-hand side of the box than on the right-hand side. This indicates a positively skewed distribution.

Therefore,

We can conclude that the distribution for town A is symmetric, but the distribution for town B is positively skewed.

Learn more about the interquartile range here:

https://brainly.com/question/29204101

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Answer:

[tex]\sqrt{6\cdot \:216}=\sqrt{1296}[/tex]

[tex]=\sqrt{36^2}=36[/tex]

Answer:

80 gallons

Step-by-step explanation:

32 divided by 4 to get the number of gallons it uses for 1 load of dishes which is 8. 8 multiplied by 10 = 80.

Answer 80 gallons

Step-by-step explanation:

32 divided by 4 equals 8, we have now found the rate of change. We then multiply 10 by 8 because for every load of dish it uses 8 gallons. So that equals 80 gallons.

Answer:

45 hours

Step-by-step explanation:

you subtract the standard price from the increased price which is 570.

you get 125 and divide by the amount of money added per hour then you get five

add that 5 to the standard hours per week

40 + 5=45

Answer:

D) 36π[tex]a^6b^9[/tex]

Step-by-step explanation:

Volume of a sphere:

V = 4/3πr³

Given:

r = 3a²b³

Work:

V = 4/3πr³

V = 4/3π(3a²b³)³

V = 4/3π(27[tex]a^6b^9[/tex])

V = 36π[tex]a^6b^9[/tex]

Answer:

121.21 people per square mile

Step-by-step explanation:

area = 1/2(12 + 21)(14) = 231 mi²

28,000/231 = 121.21 people per square mile

Answer:  

The graph is attached.  

Step-by-step explanation:

Since g(x) = f(2x), this means we substitute 2x in place of x for f(x):

g(x) = f(2x) = (2x)² = 4x²

Graphing this, the parabola is not moved from the parent graph f(x) = x², but the graph is compressed horizontally by a factor of 4.

Answer:

2. 7/4

3. D

4. -25/77

5. -3

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

25×8= 200 spent

500-200=300 left

Answer:

=> $300

Step-by-step explanation:

here's your solution

=> Amount of money Trent has = $500

=> Amount spent by him in one week = $25

=> Amount left with him after 8 weeks =

= $500 - ($25*8)

=> $500 - $200

=> Amount left = $300

hope it helps

Answer:

16.83

Step-by-step explanation:

7.36

+ 9.47

----------

16.83

Answer:

( 1 + x) ( 7 - x)

Step-by-step explanation:

Here's what I did

16 - ( x - 3)^2....expand this

16 - (x² + 6x + 9).....after exanding

16 - 9 + 6x - x²......like terms together

7 + 6x - x² ......rearrange

-x² + 6x + 7......look for the product, sum and factors

( 1 + x) ( 7 - x)

Answer:

Length of arc = 8.90 unit (Approx.)

Step-by-step explanation:

Given:

Radius of circle = 17 units

∠QRS = 30°

Find:

Length of arc

Computation:

Length of arc = [θ/360][2πr]

Length of arc = [30/360][2(22/7)(17)]

Length of arc = [1/12][2(3.14)(17)]

Length of arc = [0.0833][3.14(34)]

Length of arc = [0.0833][106.76]

Length of arc = 8.8963

Length of arc = 8.90 unit (Approx.)

Answer:

542

Step-by-step explanation:

May the 4th be with you (When it's May 4th lol)

Answer:

m = 2, c = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 2x = - 3 ( add 2x to both sides )

y = 2x - 3 ← in slope- intercept form

with slope m = 2 and y- intercept c = - 3

Answer:

u = 7

Step-by-step explanation:

In a parallelogram, GI = GK so:

u + 28 = 5u

4u = 28

u = 7

Answer:

809.69

Step-by-step explanation:

747.98(.0825)=61.708

747.98+61.708=809.688

Answer:

Step-by-step explanation:

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Given:

Consider the given function is:

[tex]f(x)=x^2-8x+13[/tex]

To find:

The average rate of change of the function over the interval [tex]-1\leq x\leq 6[/tex].

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

We have,

[tex]f(x)=x^2-8x+13[/tex]

At [tex]x=-1[/tex],

[tex]f(-1)=(-1)^2-8(-1)+13[/tex]

[tex]f(-1)=1+8+13[/tex]

[tex]f(-1)=22[/tex]

At [tex]x=6[/tex],

[tex]f(6)=(6)^2-8(6)+13[/tex]

[tex]f(6)=36-48+13[/tex]

[tex]f(6)=1[/tex]

Now, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is:

[tex]m=\dfrac{f(6)-f(-1)}{6-(-1)}[/tex]

[tex]m=\dfrac{1-22}{7}[/tex]

[tex]m=\dfrac{-21}{7}[/tex]

[tex]m=-3[/tex]

Therefore, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is -3.

Answer:

A. there must be a vertical asymptote at x=c

Step-by-step explanation:

Answer: A

Step-by-step explanation:

got it right edge 2022