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Yakvenalex [24]
3 years ago
15

Solve the right triangle ABC with right angle C, if B=30 degrees, and C = 10

Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

Answer:

The answer to your question is letter D

Step-by-step explanation:

We know that the sum of the internal angles in a triangle equals 180°.

So, B = 30°, C = 90° and A = ?

                      A + B + C = 180°

Substitution

                      A + 30 + 90 = 180

Solve for A

                     A = 180 - 30 - 90

                     A = 180 - 120

                    A = 60°

To find "b". use the trigonometric function sine

sin B = \frac{opposite side}{hypotenuse}

sin B x hypotenuse = Opposite side

Opposite side = sin 30 x 10

Opposite side = 0.5 x 10

Opposite side = b = 5.0                          

To find "a" use the trigonometric function cosine

Cos A = adjacent side / hypotenuse

Adjacent side = a = cos A x hypotenuse

Adjacent side = a = cos 60 x 10

                          a = 0.866 x 10

                         a = 8.66                      

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Find x and y please!!! I need help!!
jonny [76]

Answer

Step-by-step explanation:

(15x-8y)=52

180=90+52+x

x=38

System of equations:

15x-8y=52

6x+14y=38

y=-6.5+15/8x

6x+14(-6.5+15/8x)=38

6x-91+26.25x=38

32.25x=129

x=4

15(4)-8y=52

60-8y=52

-8y=-8

y=1

x=4

7 0
2 years ago
A jet is flying in a direction N 70° E with a speed of 600 mi/h. Find the north and east components of the velocity. Round to tw
leonid [27]

Answer:

the answer is 0.30

Step-by-step explanation:

600/20=30

two decimal place=0.30

5 0
3 years ago
7.9 x 10 ^7+6.5 x 10^6
Misha Larkins [42]

Answer:

85500000

Step-by-step explanation:

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3 years ago
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The perimeter of a square is 96m.Find its area.
nadya68 [22]
<h3>Solution</h3>

P = 4a

96 = 4a

a = 24 m

so, the area is

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A = 24²

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4 0
2 years ago
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Find the Area of the figure below, composed of an isoceles trapezoid and one
MAVERICK [17]

Answer:

the total area is 15.6 square units

Step-by-step explanation:

hello,

you can  find the total area  dividing the shape into two known shapes

total area= area of the trapezoid +area of the semicircle

then          

step one

find the area of the isosceles trapezoid using

A=\frac{a+b}{2}*h

where

a is the smaller base

b is the bigger base

h is theheight

A is the area

let

a=2

b=5

h=4

put the values into the equation

A=\frac{a+b}{2}*h\\A=\frac{5+2}{2}*4\\A=3.5*4\\A=14

Step two

find the area of the semicircle

the area of a circle is given by

A_{c}=\pi  \frac{d^{2}}{4}\\

but, we need the area of  half circle, we need divide this by 2

A_{semic}=\frac{ \pi \frac{d^{2}}{4}}{2}\\A_{semic}= \pi \frac{d^{2}}{8}

now the diameter of the semicircle is 2, put this value into the equation

A_{semic}= \pi \frac{2^{2}}{8}\\\\A_{semic}= \pi \frac{1}{2}\\ A_{semic}=\frac{\pi }{2}\\

find the total area

total area= area of the trapezoid +area of the semicircle

total\ area= 14+\frac{\pi }{2} \\total\ area=15.6

so, the total area is 15.6 square units

Have a good day.

5 0
3 years ago
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