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2 years ago

What is the value of x? If necessary leave your answer in the simplest radical form.

Mathematics

1 answer:

frutty [35]2 years ago

4 0

<h3>Answer: 32</h3>

Explanation:

This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is

long = short*sqrt(3)

We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse

hypotenuse = short*2

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Shown below is a problem Margaret solved and the steps she used to solve it. Margaret has entered this problem incorrectly. What

leva [86]

She has distributed the bracket incorrectly

$\frac{1}{2}$ (64 + 5) - 0.2(- 20 + 10)

= $\frac{1}{2}$ (69) - 0.2 (- 10)

=34.5 + 2

= 36.5

7 0

3 years ago

A ramp slopes from a warehouse door down to the street. The height of the ramp is 5 feet, and the ramp ends 10 feet from the bas

Tomtit [17]

If you graph this, your first point will be at (0,5), as the ramp is at the warehouse door but 5 feet up. The second point is (10,0) as it is touching the ground but it's 10 feet away from the warehouse.
To find slope, you do (y2-y1)/(x2-x1).
When substituting in the variables, you get (0-5)/(10-0), which is -5/10, which is simplified to -1/2. Of course, that is when the warehouse is Quadrant II. If you look at it from another point of view, the slope will be positive so your answer is A) 1/2.
If this was unclear feel free to comment :)

3 0

2 years ago

Read 2 more answers

*Find the area of the figure below. Use 3.14 for pi.<br><br> Area= square inches

alex41 [277]

Answer:

100.26

Step-by-step explanation:

You would find the area of the semi circles on either side of the rectangle by plugging the diameter into the formula for the area of a circle. Then you would add that to the are of the rectangle.

This is what that would look like:

1. Divide 6 (the diameter) by 2 because $r=\frac{1}{2} d$

$r=\frac{1}{2} 6$

$r=3$

2. plug into the formula $A=\pi r^{2}$

$A=\pi 3^{2}$

3. square the 3

$A=\pi 9$

4. multiply 9 by 3.14 (pi)

$A=28.26$

This means the area of both the semi circles added together would equal 28.26

Then you would use the formula $A=lw$ to find the area of the rectangle

1. plug in the numbers given

$A= 12$ · $6$

2. solve

$A=72$

Then add the area of the semicircles to the area of the rectangle

$A=28.26+72$

to get the area of the entire figure:

$A=100.26$

3 0

3 years ago

Cameron has decided to diversify his investments in the following way $3000 in an account earning 2.7% simple interest $5000 in

jolli1 [7]

A=3000(1+3*0.027)=3,243
Interest earned 243
A=5,000×(1+0.018)^(3)=5,274.89
Interest earned 274.89
A=5,000×(1+0.039÷4)^(4×3)=5,617.41
Interest earned 617.41

Total interest 243+274.89+617.41=1,135.3
Total amount Amount after 3 years
3,243+5,274.89+5,617.41=14,135.3

3 0

3 years ago

A rectangular carpet measures 12 m by 5 m.

Zepler [3.9K]

Answer:

$\frac{1}{15}$

Step-by-step explanation:

Area of the Rectangular Carpet=12*5=60m²

Area of the Square rug=2*2=4m²

Expressing the area of the rug as a fraction of the total area of the carpet, we have:

$\frac{\text{Area of Rug}}{\text{Area of Carpet}}=\frac{4}{60}\\=\frac{1}{15}$ .

The fraction of the carpet that is covered by the rug is $\frac{1}{15}$ .

8 0

3 years ago