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posledela
3 years ago
5

Item 19 A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 112 feet from a bu

ilding and 131 feet from the top of the building. What is the height h of the building? Round your answer to the nearest tenth. BTW HARDER QUESTION
Mathematics
1 answer:
liberstina [14]3 years ago
8 0
The building is about 70.95 feet tall.

The building and the laser range will form a right triangle. You can use the Pythagorean Theorem to find the height of the building.

112^2 + b^2 = 131^2
b = 67.95

However, don't forget to add on 3 because that is the height of the laser range.
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John sells hamburgers ($3) and cheeseburgers ($3.50). One afternoon he sells a total of 24 burger for $79. How many of these wer
ankoles [38]

John sold 10 hamburgers and 14 cheeseburgers.

Step-by-step explanation:

Given,

Cost of one hamburger = $3

Cost of one cheeseburger = $3.50

Total burgers sold = 24

Total revenue earned = $79

Let,

Number of hamburgers sold = x

Number of cheeseburgers sold = y

According to given statement;

x+y=24   Eqn 1

3x+3.50y=79    Eqn 2

Multiplying Eqn 1 by 3

3(x+y=24)\\3x+3y=72\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(3x+3.50y)-(3x+3y)=79-72\\3x+3.50y-3x-3y=7\\0.50y=7

Dividing both sides by 0.50

\frac{0.50y}{0.50}=\frac{7}{0.50}\\y=14

Putting y=14 in Eqn 1

x+14=24\\x=24-14\\x=10

John sold 10 hamburgers and 14 cheeseburgers.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/13070361
  • brainly.com/question/13084321

#LearnwithBrainly

3 0
3 years ago
Please help! This assignment is due soon! (In The photo)
eimsori [14]

Answer

Elena must have substracted 1/2x from both sides of the equation.

Lin must have multiplied both sides of the equation by 2

Explanation

The equation given is

\frac{1}{2}x+3=\frac{7}{2}x+5

For Elena to have arrived at

3=\frac{7}{2}x-\frac{1}{2}x+5

Then Elena must have substracted 1/2x from both sides of the equation.

That is;

\begin{gathered} \frac{1}{2}x+3=\frac{7}{2}x+5 \\ \text{Substracting }\frac{1}{2}x\text{ from both sides of the equation will give Elena first step} \\ \frac{1}{2}x+3-\frac{1}{2}x=\frac{7}{2}x+5-\frac{1}{2}x \\ 3=\frac{7}{2}x-\frac{1}{2}x+5 \end{gathered}

For Lin to have arrived at

x+6=7x+10

It shows Lin must have multiplied both sides of the equation by 2

That is;

\begin{gathered} \frac{1}{2}x+3=\frac{7}{2}x+5 \\ \text{Multiply both sides of the equation by the lowest common mutiple } \\ \text{of the denominator which is 2.} \\ \frac{1}{2}x(2)+3(2)=\frac{7}{2}x(2)+5(2) \\ x+6=7x+10 \end{gathered}

4 0
1 year ago
A recipe uses 114 cups of sugar for a batch of brownies. Tommy makes 10 batches of cookies for a bake sale. How many cups of sug
Nastasia [14]
He needs 1140 cups of sugar. (total # of cups of sugar) = 114c
8 0
2 years ago
Read 2 more answers
7w - 3(4w + 8) = 11 <br>Solve​
Eduardwww [97]

Answer:

7w - 3(4w + 8) = 11

Distribute.

-5w-24=11 Combine like terms on the left side.

-5w=11%2B24 Add 24 to both sides.

-5w=35 Combine like terms on the right side.

w=%2835%29%2F%28-5%29 Divide both sides by -5 to isolate w.

w=-7 Reduce.

7 0
3 years ago
In how many ways can a teacher seat 5 girls and 5 boys in a row of 10 seats if a boy is seated
sertanlavr [38]

Answer:

3

Step-by-step explanation:

3 0
3 years ago
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