Ask question

Ask question

All categories

3 years ago

5

A streetlamp has a 20 ft shadow that makes a 40° angle with the ground. which expression represents the height of the street lam

p in feet ?

1 answer:

Oduvanchick [21]3 years ago

6 0

Answer:

20 sin 40° ≈ 12.86 ft

Step-by-step explanation:

Let the height of the street lamp be x

Opposite angle is 40° and the shadow, the hypotenuse of the formed triangle is 20 ft.

sin 40° = x/20
x = 20sin 40°
x ≈ 12.86 ft

You might be interested in

the sum of two numbers is 45. the greater number is 9 more than the other number. Find each number. use a system of linear equat

SpyIntel [72]

Answer:

18 and 27

Step-by-step explanation:

Let x = first (smaller) number

Let y = second (larger) number

Sum of two numbers is 45:

⇒ x + y = 45

The greater number is 9 more than the other number:

⇒ y = x + 9

Substitute y = x + 9 into x + y = 45 and solve for x:

⇒ x + (x + 9) = 45

⇒ 2x + 9 = 45

⇒ 2x = 36

⇒ x = 18

Substitute found value for x into y = x + 9 and solve for y:

⇒ y = 18 + 9

⇒ y = 27

Therefore, the two numbers are 18 and 27

5 0

2 years ago

Read 2 more answers

You invest $5000 in an account at 5.5% per year simple interest. How much will you have in the account at the beginning of the 6

NeX [460]

Answer:

The amount in the account in the beginning of the 6th year is $6375 .

Step-by-step explanation:

Formula

$Simple\ interest = \frac{Principle\times Rate\ times Time}{100}$

As given

You invest $5000 in an account at 5.5% per year simple interest.

Principle = $ 5000

Rate = 5.5 %

Time = 5 years

(As calculate amount in the account for beginning of 6th year.)

Putting all the values in the formula

$Simple\ interest = \frac{5000\times 5.5\times 5}{100}$

$Simple\ interest = 50\times 5.5\times 5$

Simple interest = $ 1375

Amount = Principle + Simple interest

Putting values in the above formula

Amount = $5000 + $1375

Amount = $ 6375

Therefore the amount in the account in the beginning of the 6th year is $ 6375 .

8 0

3 years ago

Two customers walk into Petsmart with the same amount of money. One customer adopts a lizard and leaves the store with $56 left

GalinKa [24]

Answer:

The lizards are $25 each and each walked in with $81

Step-by-step explanation: find the difference between the amount they each had left which is 25 and that is how much 1 lizard cost and then add that to the $56 so you get $56+25=81 and 81 is the initial amount they walked in with

8 0

3 years ago

Read 2 more answers

Write an expression that is equivalent to 123x + x + 2x

Svetlanka [38]

This simplified is 126x so that is equivalent to this expression

7 0

3 years ago

Addy bought a new shirt and she had a 20% off coupon . The coupon took $8.25 off of the price of her shirt. What did she pay wit

zloy xaker [14]

Answer:

$33

Step-by-step explanation:

Given: Addy had 20% off coupon.

The coupon took $8.25 off of the shirt price.

Lets assume the original cost of shirt be "x".

We know Addy had 20% off coupon, which help to reduce the price of shirt by $8.25.

∴ We can form an equation to know the original price of shirt.

⇒ $\frac{20}{100} \times x= \$ 8.25$

⇒ $\frac{1}{5} \times x= \$ 8.25$

Multiplying both side by 5

⇒ $x= 8.25\times 5$

∴ $x= \$ 41.25$

Hence, The original cost price of shirt was $41.25.

Next, finding the price paid by Addy for her new shirt by reducing coupon discount from the cost of shirt.

Price paid by Addy for her new shirt= $\$ 41.25- \$ 8.25= \$ 33$

Hence, Addy paid $33 for her new shirt.

8 0

3 years ago