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3 years ago

A new hockey stick costs $57,00 at the sporting goods store. If there is a 6%

Mathematics

1 answer:

UNO [17]3 years ago

6 0

Answer:

$60,420

Step-by-step explanation:

Take $57,000 and add 6% to get $60,420

57,000(1.06) = 60,420

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Precal : Note: Triangle may not be drawn to scale. Suppose a = 3 and A = 15 degrees

drek231 [11]

Given:

In a right triangle at B,

$\begin{gathered} a=3 \\ A=15^{\circ} \end{gathered}$

To find:

The length of the sides b and c and angle B.

Explanation:

Using the trigonometric ratio,

$\begin{gathered} sinA=\frac{a}{c} \\ \sin15^{\circ}=\frac{3}{c} \\ c=\frac{3}{\sin15^{\circ}} \\ c=11.59 \\ c\approx11.6 \end{gathered}$

Using the trigonometric ratio,

$\begin{gathered} \tan A=\frac{a}{b} \\ \tan15^{\circ}=\frac{3}{b} \\ b=\frac{3}{\tan15^{\circ}} \\ b=11.19 \\ b\approx11.2 \end{gathered}$

Using the angle sum property,

The angle B becomes,

$\begin{gathered} 90+15+B=180 \\ B=180-90-15 \\ B=75^{\circ} \end{gathered}$

Final answer:

The values are,

$\begin{gathered} b=11.2 \\ c=11.6 \\ B=75^{\circ} \end{gathered}$

3 0

10 months ago

The hover dam contains 3 1/2 millon cubic yards of concrete.The grand coulee dam contains 2 1/2 times as much. How much concrete

Margarita [4]

grand coulee dam (g) contains 2.5 times as much concrete as the hover dam (h)

Therefore,

g = 2.5 * h

h = 3.5 million

g = 2.5 * 3.5

g = 8.75 million yards of concrete

8 0

3 years ago

In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.

Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

$\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm$

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

$\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M$

In the right triangle, two acute angles are always complementary, so

$m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}$

Thus,

$MH=1.43\cos 69^{\circ}\approx 0.51\ cm$

7 0

2 years ago

Please help <br><br>problems 1 through 6

labwork [276]

Answer:

I can not see please take other picture

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2 years ago

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marusya05 [52]

Answer:

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5 0

2 years ago