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Anna35 [415]
2 years ago
14

(20 POINTS!!!)

Mathematics
1 answer:
frozen [14]2 years ago
3 0

Answer:

1170 ft³

Step-by-step explanation:

Volume of prism

= base area × height

= 90 × 13

= 1170

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7. Solve the proportion
RideAnS [48]

Answer:

14

Step-by-step explanation:

56 divided by 7 = 8

14 divided by 7 = 2

hinting at 8/2

4 0
3 years ago
Read 2 more answers
At the start of the year a summer holiday to Spain cost £650. It increased by 11% in
olga nikolaevna [1]

Answer:

Final cost = £779

Step-by-step explanation:

It is given that:

Cost of summer holiday =  £650

Amount increased by 11%

Increased cost = 11% of 650

Increased cost = \frac{11}{100}*650

Increased cost = 0.11 * 650 =  £71.50

Amount after increment = 650 + 71.50 = £721.50

Further increase = 8%

Amount = 0.08 * 721.50 = £57.72

Final cost = 721.50 + 57.72 =  £779.22

Thus,

Final cost = £779

5 0
3 years ago
The areas of two similar triangles are 18 cm^2 and 8 cm^2. One of the sides of the first triangle is 4.5 cm. What is the length
Nataly_w [17]

Answer:

  3 cm

Step-by-step explanation:

The ratio of areas of similar figures is the square of the ratio of linear dimensions. That means the ratio of linear dimensions is the square root of the area ratio. The ratio of the smaller triangle dimensions to the larger is then ...

  k = √((8 cm^2)/(18 cm^2)) = √(4/9) = 2/3

Then the corresponding side of the smaller triangle is ...

... k · (4.5 cm) = (2/3)·(4.5 cm) = 3 cm

5 0
3 years ago
A signalized intersection has a cycle length of 60 seconds and an effective red time of 25 seconds. The effective green time is
alexandr402 [8]

Answer:

effective green time = 35 seconds

Step-by-step explanation:

given data

cycle length = 60 seconds

effective red time = 25 seconds

solution

we get here  effective green time that is express as

effective green time = cycle length  - effective red time   ...........................1

put here value and we will get

effective green time = 60 seconds - 25 seconds

effective green time = 35 seconds

3 0
3 years ago
A surveyor is conducting measures to see how wide a road is
drek231 [11]

Answer:

D) 45 ft

Step-by-step explanation:

The two triangles are shown below.

Given:

BC = 60 ft, CD = 24 ft and DE = 18 ft.

Since, the two triangles are similar, their corresponding sides are in proportion.

So, \frac{AB}{DE}=\frac{BC}{CD}=\frac{AC}{CE}

Now, consider the proportion of sides,

\frac{AB}{DE}=\frac{BC}{CD}\\AB=\frac{BC}{CD}\times DE\\AB=\frac{60}{24}\times 18\\AB=\frac{60\times 18}{24}=45\ ft

Therefore, the distance between A and B is 45 ft.

8 0
3 years ago
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