The top and bottom shelves of a triangular shelving unit are similar triangles. The shortest and longest sides of the larger shelf are 16.5 inches and 22.5 inches long. (24 POINTS PLS HELP) The longest side of the smaller shelf is 15.75 inches long. How long is the shortest side of the smaller shelf?

A. 11.45 inches
B. 11.55 inches
C. 24.48 inches
D. 23.57 inches

Answer:

[tex]5.2\:\mathrm{in}[/tex]

Step-by-step explanation:

We can set up the following proportion and solve for length ([tex]\ell[/tex]):

[tex]\frac{2}{5}=\frac{\ell}{13},\\\\\ell=\frac{2\cdot 13}{5}=\frac{26}{5}=\boxed{5.2\:\mathrm{in}}[/tex]

Answer:

1/3

Step-by-step explanation:

H3,H4,H5,H6

p=1/2×1/6+1/2×1/6+1/2×1/6+1/2×1/6

=4×1/2×1/6=1/3

Answer:

39

Step-by-step explanation:

She sold more than half of the tickets, so the answer is more than 25.

78% of 50 = 39.

39 tickets

Answer:

no

15 x 8 x 11 is greater than one yard of fabric

Step-by-step explanation:

Volume of a rectangular prism = length x width x height

15 x 8 x 11 = 1320 in^3

1 yard = 36 inches

1320 is greater than 36 inches. she does not have enough yard of fabric

[tex] \sqrt{25} = 5 \\ \sqrt{16 } = 4 \\ \sqrt{49} = 7[/tex]

5+4-7 = 9-7 = 2

Our Answer 2

Answer:

The answer is 2

Step-by-step explanation:

√25 = 5

√16 = 4

√49 = 7

Now,

√25 + √16 - √49

5 + 4 - 7

9 - 7 = 2

Thus, The answer is 2

-TheUnknownScientist

Answer:

C

Step-by-step explanation:

Answer:

1) 3 miles/h

2) 3 miles

Step-by-step explanation:

6 miles/2h = 3 miles/h

4h = 12 miles

3h = 9 miles

12 - 9 = 3

Answer:

1 is 3 miles an hour and 2 is 3 miles

Answer:

95%

Step-by-step explanation:

(320 - 15) / 320 x 100 = 95%

Answer:

25

Step-by-step explanation:

if X = 4 then you would do

4(4) + 9

since 4 x 4 is 16

add that by 9

16 + 9 = 25

so the value of 4x + 9 = 25

Hope this helps

Answer:

3.002, 3.02, 3.03, 3.032, 3.2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

184

Step-by-step explanation:

V=lwh

(4)(5)(2) = 40

(7)(4)(3) = 84

(2)(5)(4) = 60

40 + 84 + 60 = 184

Answer:

1. y = 4x - 27

2. y = -4x - 15

Step-by-step explanation:

If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:

y - y1 = m(x - x1)

We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:

y - 5 = 4(x - 8)

We can distribute:

y - 5 = 4x - 32

y = 4x - 27

We are not given the slope-intercept form, so we must divide both sides by two to get it:

y = 1/4 x + 8

A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:

y - y1 = m(x - x1)

We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:

y - 5 = -4(x + 5)

We can distribute:

y - 5 = -4x - 20

y = -4x - 15

Answer: sheeeehhhhhhg

Step-by-step explanation:

Answer:

623

Step-by-step explanation:

To find the top area of the square=26-15=11

Area of the top square= 11 x 13= 143

Are of the bottom rectangle=15 x 32= 480

Area of both the shapes combined= 480+143=623

Answer:which website is it from i can help u better

Step-by-step explanation:

Answer:

87.92 inches cubed or 87.92 in.^3

Step-by-step explanation:

The base of a cylinder is a circle, so we need to calculate the area of the circle first. The equation for the area of a circle is:

area (a) = pi * r^2 =3.14*2*2 =12.56sq.inches

again,

volume of cylinder = area of the base * the height

= 12.56 * 7

= 87.92 inches cubed or 87.92 in.^3

Answer:

d =90 e=52 f=52

Step-by-step explanation:

The angle that are crosppsinding have equal angle.

like f=e.

Answer:

ok but what am I supposed to do with it?

Step-by-step explanation:

Step-by-step explanation:

a^2 + 2(b - 6) - 17. a = -7 b = 2

= (-7)^2 - 2(2 - 6) - 17

= 49 - 4 + 12 - 17

= 40

Answer:

8x=p

Step-by-step explanation:

So 8 time the number of hours Carmen works which I used x. Then you’ll get the total.

Answer:

H

Step-by-step explanation:

To find purple, you divide 162 by 3 as there are 3 people who like red for every one person who like purple. To find blue, you need to divide 162 by 3, which is 54, and then multiply it by 9 because there were 9 people who like blue for every person that liked purple.

Answer:

Solution given:

perpendicular [p]=20miles

base[b]=21Mile

hypotenuse [h]=?

we have

By using Pythagoras law

h²=p²+b²

h²=20²+21²

h=√841

h=29miles

he would walk 29 miles on the way back

Answer:

she can conclude that 20 percent of the students in the sample use the streaming service.

Answer:

If s₃ is the length of the 3rd side, the possible values are in the interval.

5 < s₃ < 19

Step-by-step explanation:

For a triangle, we know that the sum of any two sides is always larger than the other side.

So if a triangle has 3 sides:

s₁, s₂, and s₃, we have:

s₁ + s₂ > s₃

s₁ + s₃ > s₂

s₂ + s₃ > s₁

In this case, we know that two sides are:

s₁ = 7

s₂ = 12

And we want to find the possible values of s₃.

Then if we use the above inequalities, we get:

7 + 12 > s₃

7 + s₃ > 12

12 + s₃ > 7

With the first one we get:

19 > s₃

Now we can rewrite the other two as:

s₃ > 12 - 7 = 5

s₃ > 7 - 12 = -5

The first one is more restrictive than the second:

s₃ > 5 > -5

So we can use only the first one.

Then the two inequalities are

s₃ > 5

s₃ < 19

Then the range is:

5 < s₃ < 19

This means that any value between 5 and 19 can be a possible length of the third side (5 and 19 are not possible lengths)

Answer:

11 sq units

Step-by-step explanation:

(6×4) - ½(6×1 + 4×3 + 2×4)

= 24 - ½(6+12+8)

= 24 - ½(26)

= 24-13

= 11 sq units

Answer:

142+8=150

150/2=75

Answer: A.

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

Answer:

The algebraic equation would be 3 + x - 4 = 6