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slega [8]
3 years ago
10

Use the diagram below to answer the question.

Mathematics
1 answer:
Lunna [17]3 years ago
7 0

Answer:

The length of shadow is 69 foot.

Step-by-step explanation:

We are given a shadow of lighthouse.

Length of top of lighthouse to end of shadow is 90 ft.

Angle make at top of lighthouse is 50°

Distance from foot of lighthouse to end of shadow is x ft.

we need to find the length of shadow i,e x ft

Using trigonometry ration:

\sin\theta=\dfrac{P}{H}

\sin50^\circ=\dfrac{x}{90}

x=90\times 0.766

x=68.94\approx 69\text{ ft}

Hence, The length of shadow is 69 foot.

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3x+3=3y<br> 2x-6y=2<br><br> (Solving Systems Of Linear Equations By Elimination)
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3x+3=3y ⇒ 3y-3x=3 ⇒3(y-x)=3 ⇒ y-x=1
2x-6y=2 ⇒ 2(x-3y)=2 ⇒ x-3y=1

We must to collect two equations.
x's is lost;
y-3y=2
-2y=2
y=-1   ; x-3.(-1)=1  
⇒ x=-2

Answer is (-2,-1)

8 0
3 years ago
Nancy's mother has a large collection of shoes. The table shows how many pairs of shoes she
SSSSS [86.1K]

Answer:

P(pumps) = 2/5

Step-by-step explanation:

(Pumps)/(Everything)

(10)/(9+6+10)

10/25

2/5

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3 years ago
The sides of a rectangle are 15cm and 7cm long. How far is the point of the diagonal cross section from the sides of this rectan
irinina [24]

Answer:

See below in bold.

Step-by-step explanation:

If we draw a line from the point of intersection to the longest side of the rectangle it will meet it at the midpoint.

The same thing will happen when the line is draw to the shortest side.

So the point of intersection is  1/2 * 7 = 3.5 cm from the longest side and 15/2 = 7.5 cm from the shortest side.

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3 years ago
Factor of 32 other factor is 4 what number am i
mrs_skeptik [129]
I think the answer is 8. After solving i got 8

3 0
3 years ago
horace is a professional hair stylist. let ccc represent the number of child haircuts and aaa represent the number of adult hair
Novay_Z [31]

He can give at most 2 adult haircuts with the remaining time

<h3>How many adult haircuts at most can he give with the remaining time? </h3>

The inequality is given as:

0.75C + 1.25A <= 7

Also, we have

C = 5

Substitute C = 5 in 0.75C + 1.25A <= 7

0.75 * 5 + 1.25A <= 7

Evaluate the product

3.75 + 1.25A <= 7

Evaluate the like terms

1.25A <= 3.25

Divide by 1.25

A <= 2.6

Rewrite as

A < 3

Hence, he can give at most 2 adult haircuts with the remaining time

Read more about inequalities at:

brainly.com/question/15010638

#SPJ1

<u>Complete question</u>

Horace is a professional hair stylist. Let C represent the number of child haircuts and A represent the number of adult haircuts that Horace can give within 7 hours. 0.75C + 1.25A <= 7

Horace gave 5 child haircuts.

How many adult haircuts at most can he give with the remaining time?

8 0
2 years ago
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