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Pepsi [2]
3 years ago
5

f a storm window has an area of 400 square inches, what are the dimensions if the window is 12 inches wider than it is high (w x

h)?
Mathematics
2 answers:
anzhelika [568]3 years ago
5 0
Well if the window is 40 x 10  the L is 52 and the w 22 
denis23 [38]3 years ago
4 0
A=xy and we are told y=12+x so

A=12x+x^2 and A=400 so

x^2+12x=400

x^2+12x-400=0

x=(-12±√1744)/2

x≈14.88

So the dimensions are approximately 14.88" by 26.88"
You might be interested in
in which place is the digit in the numbers 5,341 that would be changed to form 5,841? how do the values of the two numbers compa
Akimi4 [234]

The changed digit is the third to the left of the decimal point, so is in the hundreds place.

The value of 8 hundred is 5 hundred more than the value of 3 hundred. The second number is 500 more than the first.

7 0
3 years ago
Molly was on a long 136 mile road trip. The first part of the trip there was lots of traffic, she only averaged 16 mph. The seco
Mazyrski [523]

Answer:

In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

Explanation:

Given that the road trip was 136 miles;

d=136

The first part of the trip there was lots of traffic, she only averaged 16 mph;

v_1=16

The second part of the trip there was no traffic so she could drive 44 mph;

v_2=44

She traveled for a total of 5 hours;

t=5

let x represent the time in traffic when she traveled at 16 mph

t_1=x

the time the traffic is clear would be;

t_2=t-t_1=5-x

Recall that distance equals speed multiply by time;

d=v_1t_1_{}_{}^{}+v_2t_2

substituting the values;

136=16x+44(5-x)

solving for x;

\begin{gathered} 136=16x+220-44x \\ 44x-16x=220-136 \\ 28x=84 \\ x=\frac{84}{28} \\ x=3 \end{gathered}

So;

\begin{gathered} t_1=3\text{ hours} \\ t_2=5-x=5-3=2 \\ t_2=2\text{ hours} \end{gathered}

Therefore, In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

7 0
1 year ago
Drako found an emerald in a cave at a depth between -1/2 and -1 2/3 meters which number could represent the depth which the emer
oksian1 [2.3K]

Answer:

-\frac{3}{4}  meters

Step-by-step explanation:

From the answer choices, we basically need to find which of them is between   -\frac{1}{2}  and  -1\frac{2}{3}

<em>Converting all of them to decimals would make it really easier:</em>

<em />

<em>So we need to find number between -0.5  and -1.67</em>

<em />

<em>Answer choice A is -2.33</em>

<em>Answer choice B is  -0.75</em>

<em>Answer choice C is  -0.25</em>

<em>Answer chioce D is  -1.83</em>

<em />

<em>So which number, from the choices, is between -0.5 & -1.67?</em>

Clearly, it is -0.75, or,  -\frac{3}{4}  meters

5 0
3 years ago
Read 2 more answers
Ella says the answer to $79 ÷ 4 is $19.30. What did she do wrong?
Mamont248 [21]

Answer:

19.75

Step-by-step explanation:

while she divided the remainder 3 (then you bring down the 0) she accidentaly put 30 in 19.30 so thats why

while the correct way is to keep going with the equation until you have no remainder

4 0
3 years ago
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions. I need both answers.
Kazeer [188]

Answer:

1) x = 14°, y = 5°

2) x = 18.5°, y = 37°

Step-by-step explanation:

1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°

∠MOD = ∠MOB + ∠BOD = 90°

3x + 23° + 25° = 90°

3x = 90° - 23° - 25°

x = 42°/3

x = 14°

∠LOB = ∠LOM + ∠MOB = 90°

5y + 3x + 23° = 90°

5y = 90° - 23° - 3(14°)

y = 25°/5

y = 5°

2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°

∠EOB = ∠EOD + ∠DOB =  90°

2y + 16° = 90°

y = (90° - 16°)/2

y = 37°

∠DOF = ∠BOF + ∠DOB =  90°

4x + 16° = 90°

x = (90° - 16°)/4

x = 18.5°

4 0
3 years ago
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