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VashaNatasha [74]
3 years ago
11

The area and length of a rectangle are given below. Find the w, the width.

Mathematics
2 answers:
GarryVolchara [31]3 years ago
8 0

Answer:

1.5

Step-by-step explanation:

yaaa

Pie3 years ago
3 0
<h3>Answer: Choice B)   1 & 1/2 feet</h3>

This is the same as 1.5 feet and it is equivalent to the improper fraction 3/2.

============================================================

Explanation:

Let's convert the given mixed numbers into improper fractions.

A = 5 & 1/3 = 5 + 1/3 = 15/3 + 1/3 = (15+1)/3 = 16/3

L = 3 & 5/9 = 3 + 5/9 = 27/9 + 5/9 = (27+5)/9 = 32/9

So the area and length are 16/3 and 32/9 respectively.

-------------------

Let's solve for the width W

area = length*width

A = L*W

16/3 = (32/9)*W

9*(16/3) = 9*(32/9)*W ..... multiplying both sides by 9

48 = 32W

32W = 48

32W/32 = 48/32 ....... dividing both sides by 32

W = 48/32

W = (32+16)/32

W = 32/32 + 16/32

W = 1 + 1/2

W = 1 & 1/2 feet is the width

This is equivalent to 3/2 since 48/32 = 3/2

It's also equivalent to 1.5 because 3/2 = 1.5

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What is the y-intercept of the line 3x-4y=24
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Answer:

(0,-6)

Step-by-step explanation:

3x-4y=24

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3(0) -4y =24

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3 years ago
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OverLord2011 [107]
You should put at least 400 in the savings Which impact did WWII have on the U.S?
A. The U.S. had to rebuild much of its own infrastructure due to the damages of the War
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5 0
3 years ago
Which values are equivalent to the fraction below? Check all that apply
vodka [1.7K]

Answer:

A,B,E

Step-by-step explanation:

3^{5} /3^{8}=3^{5-8}=3^{-3}=1/27=(1/3)^{3}

4 0
3 years ago
Determine the unknown measures of the triangle shown. Round to the nearest tenth, if necessary
lisabon 2012 [21]
Answers:
x = 25 in
y = 16.3°
z = 73.7°

Explanation:
Part (a): getting the value of x:
Since the given triangle is a right-angled triangle, we can get the value of x which is the hypotenuse of the triangle using the Pythagorean theorem as follows:
(hypotenuse)² = (side1)² + (side2)²
x² = (24)² + (7)²
x² = 625
x = √625
either x = 25 in ..........> accepted
or x = -25 in .........> rejected as side length cannot be negative.
Based on the above:
x = 25 in

Part (b): getting the value of y:
Since the given triangle is a right-angled triangle, therefore, special trigonometric functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
In the given, we have:
θ = y
opposite side = 7 in
adjacent side = 24 in
Apply in the tan formula:
tan y = 7/24
y = 16.3° to the nearest tenth

Part (c): getting the value of z:
This can be solved in two ways:
Solution 1: Using angles
Sum on internal angles in a triangle is 180
90 + 16.3 + z = 180
z = 73.7°
Solution 2: Using special trig functions:
We have θ = z
opposite side = 24 in
adjacent side = 7 in
tan z = 24/7
z = 73.7° to the nearest tenth

Hope this helps :)
6 0
4 years ago
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