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zlopas [31]
2 years ago
9

A rectangular bedroom has an area of 117 ft. the length of the bedroom is 4ft more than the width. find the length and the width

of the bedroom
Mathematics
1 answer:
MrMuchimi2 years ago
5 0

Answer: Length = 13 ft. , Width = 9 ft.

Step-by-step explanation:

Rectangle area = Length x width

Area = 117 ft.

Length = x + 4

Width = x

To solve

(x)(x + 4) = 117

x^2 + 4x = 117

x^2 + 4x - 117 = 0

(x - 9)(x + 13)

x = 9, -13

x = 9 <em>(measurement cannot be negative)</em>

Length

x + 4

9 + 4 = 13

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What % could i make 2/5 of a hour? like 10% of a hour. like that.
yarga [219]

well, we can say that 1 hour is 100%, what is 2/5 hr off of it in percentage?

\begin{array}{ccll} hour&\%\\ \cline{1-2} 1 & 100\\ \frac{2}{5}& x \end{array} \implies \cfrac{1}{~~ \frac{2}{5}~~}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40

7 0
2 years ago
If m angle GEF is thirteen less than five times m angle DEG and m angle DEF = 149º, find m angle GEF. ​
Nina [5.8K]

Answer:

122*

122 degrees

Step-by-step explanation:

m∠GEF is 13 less than 5 times m∠DEG and m∠DEF = 149*

Solution:

As per given data,

m∠GEF = 5m∠DEG - 13* … (i)

m∠DEF = 149* -> m∠GEF + m∠DEG = 149* .. (ii)

Substituting value of m∠GEF in (ii)

We get,

(5m ∠DEG - 13*) + m∠DEG = 149*

6m ∠DEG - 13* = 149*

6m ∠DEG = 149* + 13* = 162*

m∠DEG = * = 27*

Substituting value of m∠DEG in (i)

We get,

m∠GEF = 5(27*) - 13*

m∠GEF = 135* - 13* = 122*

7 0
3 years ago
PLEASEE HELP I NEED IT its about due
kherson [118]

Answer:

∠GJK is 22°

Step-by-step explanation:

Because the shape is a rectangle we know that GH is parallel to JI

This means that because of the alternate angle rule we know that

5x+8 = 7x-16

Then we solve for x

5x+8-5x = 7x-16-5x

8+16=2x-16+16

\frac{24}{2}=\frac{2x}{2}

x=16

So this means that ∠HJI is 68°

Because the shape is a rectangle we know that ∠GJI is a right angle

This means that ∠GJK is 90-∠HJI because of the angles on a right angle rule

90-68 =22

∴∠GJK is 22°

4 0
3 years ago
If sin(2x) = cos(x + 30"), what is the value of x?<br> 20°<br> 30°<br> 500<br> 1100
ivanzaharov [21]

Answer:

2x=(x+30)

2x+x=30

3x=30

x=30÷3

x=10

7 0
3 years ago
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The list is long, but here goes:

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3 years ago
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