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3 years ago

What is the length of angle EF in the right triangle below

Mathematics

1 answer:

salantis [7]3 years ago

6 0

Answer:

E. √180

Step-by-step explanation:

Using Pythagoras' theorem

a^2 + b^2 = c^2 (c = hypotenuse, a and b are legs)

a^2 = c^2 - b^2

a^2 = 18^2 - 12^2

a^2 = 324 - 144

a^2 = 180

a = √180

Answer

E. √180

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Josh is putting up a fence around a garden that is next to a wall. He only has 54 feet of fence and the length of the garden mus

vova2212 [387]

Answer:

Length = 12 feet

Width = 30 feet

Step-by-step explanation:

Let l be the length of the garden and let w be the width:

We have system of equations

2w + l = 54

l = 2w + 6

We substitute 2w + 6 for l

2w + 2w + 6 = 54

4w + 6 = 54

4w = 54 - 6

4w = 48

w = 48/4

w = 12 feet

Width(w) = 12 feet

We find the Length

l = 2w + 6

l = 2(12) + 6

l = 24 + 6

I = 30 feet

7 0

2 years ago

Read 2 more answers

The area of a circle is 43.25cm2.<br> Find the length of the radius rounded to 2 DP.

Monica [59]

Answer:

3.71 cm

Step-by-step explanation:

Hi there!

Area of a circle equation: $A=\pi r^2$ where r is the radius

Plug in the area 43.25 cm²

$43.25=\pi r^2$

Divide both sides by π to isolate r²

$\frac{43.25}{\pi} =\frac{\pi r^2}{\pi} \\\frac{43.25}{\pi}=r^2$

Take the square root of both sides to isolate r

$\sqrt{\frac{43.25}{\pi}} =r\\3.71=r$

Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.

I hope this helps!

8 0

2 years ago

Javier's parents set an amount of money aside when he was born. They earned 4.5% simple interest on that money each year. When J

solmaris [256]

Answer:

Javier's parents set aside $1500 when he was born

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this question, we have that:

$E = 1012.50, t = 15, I = 0.045$

We have to find P. So

$E = P*I*t$

$1012.50 = P*15*0.045$

$P = \frac{1012.50}{15*0.045}$

$P = 1500$

Javier's parents set aside $1500 when he was born

6 0

2 years ago

A business's total sales, including a 5% tax, were $23,152.81. Calculate the actual sales and sales tax liability

irina1246 [14]

If the total sales are $23152.81 and the sales tax is 5%, take the total sales divided by 1.05 $23152.81/1.05 = $22050.30 (gaves you the sales) to get the sales tax, subtract the total sales from the sales= Sales are $22050.30Tax is $1102.51 hope this helps :)

7 0

3 years ago

Read 2 more answers

2 1/3 plus 1 3/4 plz exlain and answer need to be in fraction form

NARA [144]

Answer:

7/12

Step-by-step explanation:

2 1/3 + 1 3/4

7/3 + 7/4

28-21/12

7/12

:)ur wel

8 0

2 years ago