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GrogVix [38]
3 years ago
7

A company is making new soccer uniforms for a team. The company uses 2.5 yards of fabric for each shirt. The company uses 82.5 y

ards of fabric to make shirts and shorts for 15 players. The equation and solution below represents the situation.
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0

Answer:

D.  The amount of fabric needed for each pair of shorts

Step-by-step explanation:

i just did the quiz

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Use a half-angle identity to find the exact value
Tatiana [17]

Given:

\cos 15^{\circ}

To find:

The exact value of cos 15°.

Solution:

$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}

Using half-angle identity:

$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}

$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}

Using the trigonometric identity: \cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}

            $=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}

Let us first solve the fraction in the numerator.

            $=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}

Using fraction rule: \frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}

            $=\sqrt{\frac {2+\sqrt{3}}{4}}

Apply radical rule: \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

           $=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}

Using \sqrt{4} =2:

           $=\frac{\sqrt{2+\sqrt{3}}}{2}

$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}

5 0
3 years ago
56,426+17,895
pochemuha

Answer:

a =74,321

b. 41,042,523,288

c. 414,832,917

Step-by-step explanation:

because two odd numbers becomes a even number

5 + 5 = 10 7 + 7 = 14 etc

so in the problem you sent 13 and 15 being odd numver will result in a even number when added

8 0
3 years ago
Read 2 more answers
What is the equation written in vertex form of a parabola with a vertex of (–1, 8) that passes through (1, 0)?
Archy [21]

Answer:

y = -2(x + 1)^2 + 8

Step-by-step explanation:

The equation of a parabola can be written in the form;

y = a(x-h)^2 + k

where a is the multiplier (h,k) is the vertex

so h = -1 and k = 8

Plug in these values

y = a(x + 1)^2 + 8

So to get the value of a, we use the point where the parabola passes through which is the point (1,0)

Simply substitute the values of x and y

0 = a(1 + 1)^2 + 8

0 = a(2)^2 + 8

-8 = 4a

a = -8/4

a = -2

So therefore the equation of the parabola is ;

y = -2(x + 1)^2 + 8

7 0
3 years ago
Can someone help me, please thanks
Ilya [14]
I believe that the answer is 1845




the surface area of the cube is 1350

the surface area of the pyramid is 495

the total surface area is :
1350 + 495 = 1845



good luck
3 0
4 years ago
What is m∠H? (Must give Explanation)
Vladimir [108]

Answer:

95°

Step-by-step explanation:

(x+49)+(x+59)=180

2x+108=180

2x=72

x=36

36+59=95

7 0
3 years ago
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