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2 years ago

8

a pole that is 3m tall casts a shadow that is 1.72m long. at the same time, a nearby building casts a show that is 50.5 m long.

how tall is the building

1 answer:

Veronika [31]2 years ago

8 0

Answer:

88.08 m tall

Step-by-step explanation:

Pole:

tall/long
3/1.72

Building:

tall/long

x/50.5

Solve for x:

3/1.72 = x/50.5

1.72x = 151.5

x ≈ 88.08

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Of the 32 teachers at Devon's high school, 22 are female. What is the ratio of the number of male teachers to the total number o

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10:32

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32-22=10 male teachers

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3 years ago

The triangle on the grid will be translated two units left. which shows the triangle translated 2 units left

Mariana [72]

Answer:

Take the coordinates of each vertex (corner point) and subtract 2 from the x-coordinate; leave the y-coordinate alone.

Step-by-step explanation:

Example: If one vertex is the point (5, 3), then it moves left 2 units to (3, 3).

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3 years ago

snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

I = interest earned.
P = principal invested.
r = interest rate (in decimal form).
t = time (in years).

Given:

Total P = $7000
P₁ = principal invested at 5%
P₂ = principal invested at 8%
Total interest = $500
r₁ = 5% = 0.05
r₂ = 8% = 0.08
t = 1 year

Create two equations from the given information:

$\textsf{Equation 1}: \quad \sf P_1+P_2=7000$

$\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500$

Rewrite Equation 1 to make P₁ the subject:

$\implies \sf P_1=7000-P_2$

Substitute this into Equation 2 and solve for P₂:

$\implies \sf 0.05(7000-P_2)+0.08P_2=500$

$\implies \sf 350-0.05P_2+0.08P_2=500$

$\implies \sf 0.03P_2=150$

$\implies \sf P_2=\dfrac{150}{0.03}$

$\implies \sf P_2=5000$

Substitute the found value of P₂ into Equation 1 and solve for P₁:

$\implies \sf P_1+5000=7000$

$\implies \sf P_1=7000-5000$

$\implies \sf P_1 = 2000$

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

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1 year ago

A chef uses 3 3/4 pounds of semolina flour and 1 5/8 pound whole wheat flour for each batch of pasta she makes.one week she uses

Maurinko [17]

It is to be noted that for this item, we more concern of the pounds of flour. The number of batches is calculated by dividing the total mass of flour used by the amount per batch. That is,
n = 86 lbs / (1 + 5/8 lbs/batch)
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Thus, the chef makes approximately 53 batches of pasta.

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3 years ago