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Viefleur [7K]
3 years ago
12

Find the value of X. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale. Ple

ase show steps.

Mathematics
1 answer:
Cloud [144]3 years ago
4 0
1. That is a right triangle, what means that it has a angle of 90°, so you can calculate the value of "x" "as below:

 Tan(α)=Opposite leg/Adjacent leg

 The angle α is 60°, so the opposite leg is "x" and the adjacent leg is 5.

 2. When you substitue these values, you have:

 Tan(α)=Opposite leg/Adjacent leg
 Tan(60°)=x/5
 x=(5)(Tan(60°)
 x=5√3

 Then, the answer is: The value of "x" is 5√3
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Mrrafil [7]
(8+4)x8= 96 feet squared

(There is no little 2 to put in so I just wrote squared)
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Which of the following is a healthy blood pressure level?
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The correct answer is choice C
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4 years ago
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A regular tube of toothpaste costs $2.50 for 3.2 ounces. A travel size tube costs $1.00 for 1.2 ounces. Compare the prices and w
Len [333]

Answer:

The travel size costs 6 ​% as much as the regular size. Thus the regular size would be more economical and thus a better buy

Step-by-step explanation:

step 1

<em>Find out the unit rate of a regular  tube of toothpaste</em>

we know that

To find out the unit rate, divide the total cost by the total weight

so

\frac{2.50}{3.2}=\$0.78\ per\ ounce

step 2

<em>Find out the unit rate of a travel size tube of toothpaste</em>

we know that

To find out the unit rate, divide the total cost by the total weight

so

\frac{1.00}{1.2}=\$0.83\ per\ ounce

step 3

Find out the percent of increase

we have that

The unit rate \$0.83\ per\ ounce represent the 100%

so by proportion

Find out what percentage represent the difference ($0.83-$0.78=$0.05 per ounce)

\frac{0.83}{100\%}=\frac{0.05}{x}\\\\x=100(0.05)/0.83\\\\x=6\%

therefore

The travel size costs 6 ​% as much as the regular size. Thus the regular size would be more economical and thus a better buy

6 0
3 years ago
Delia, Edwin and Freya share some money in the ratio 5:7:8 Freya's share is £1600 how much did they share?
andrey2020 [161]

Answer: £ 400,560,640

Step-by-step explanation:

Given

Delia, Edwin, and Freya share £1600 in the ratio 5:7:8

Suppose, their shares are 5x,7x, and 8x such that the ratio remains the same.

The sum of their shares must be £1600

\Rightarrow 5x+7x+8x=1600\\\Rightarrow 20x=1600\\\\\Rightarrow x=\dfrac{1600}{20}\\\\\Rightarrow x=80

Their share is

Delia:5\times 80=400

Edwin:7\times 80=560

Freya:8\times 80=640

7 0
3 years ago
The diagram shows a circle and an equilateral triangle. One side of the equilateral triangle is a diameter of the circle. The ci
Lemur [1.5K]

Answer:

Area = 101.4 cm^2 (3 S.F)

Step-by-step explanation:

Diameter of circle (D) = one side of the equilateral ∆

Circumference of the circle = πD = 48 cm

Thus:

πD = 48

Divide both sides by π

D = \frac{48}{\pi} = 15.3 cm (approximated to nearest tenth)

Since all sides an equilateral ∆ are equal, therefore, and the diameter, D, of the circle given is the same as the length of one side of the ∆, therefore, all sides of the equilateral triangle would be 15.3 cm.

Recall that the area of a triangle can be found if we know lengths of the two sides of the ∆ and the measure of the included angle between both sides.

Since an equilateral ∆ has equal angles, each measuring 60°, then we already have all the information needed to calculate the area of the ∆.

Thus:

Length of the two sides = 15.3 cm and

15.3 cm

Included angle = 60°

Use the following formula:

Area = \frac{1}{2}ab \times Sin(C)

Where,

a = 15.3 cm

b = 15.3 cm

C = 60°

Plug the values into the formula to find the area.

Area = \frac{1}{2} \times 15.3 \times  15.3 \times Sin(60)

Area = \frac{1 \times 15.3 \times  15.3 \times Sin(60)}{2}

Area = 101.4 cm^2 (3 S.F)

3 0
3 years ago
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