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timama [110]
2 years ago
7

TRUE or FALSE

Mathematics
1 answer:
kupik [55]2 years ago
8 0

Answer:

True

Step-by-step explanation:

~Is SAA side-angle-angle

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A dinner platter is in the shape of a regular decagon the platter has an area of 161 in.² and a side length of 4.6 inches what's
cupoosta [38]
Number of sides= 10
Side length= 4.6 ( or in this case base)

161 sq inches / 10 = 16.1 area of triangle.

Area of triangle =(b<span>ase * </span>height)/2 

16.1=(4.6*h)/2
multiply 16.1 by 2 (cancels the dividing the 2)

32.2=4.6*h
divid 32.2 by 4.6

<span>7 is the height of the triangle</span>
5 0
3 years ago
Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ &lt; 0.
kumpel [21]

Answer:

Part 1) sin(\theta)=\frac{2}{3}

Par 2) cos(\theta)=-\frac{\sqrt{5}}{3}

Part 3) tan(\theta)=-\frac{2\sqrt{5}}{5}

Step-by-step explanation:

step 1

Find the sin(\theta)

we have

csc(\theta)=\frac{3}{2}

Remember that

csc(\theta)=\frac{1}{sin(\theta)}

therefore

sin(\theta)=\frac{2}{3}

step 2

Find the cos(\theta)

we know that

sin^{2}(\theta) +cos^{2}(\theta)=1

we have

sin(\theta)=\frac{2}{3}

substitute

(\frac{2}{3})^{2} +cos^{2}(\theta)=1

\frac{4}{9} +cos^{2}(\theta)=1

cos^{2}(\theta)=1-\frac{4}{9}

cos^{2}(\theta)=\frac{5}{9}

square root both sides

cos(\theta)=\pm\frac{\sqrt{5}}{3}

we have that

cos(\theta) < 0 ---> given problem

so

cos(\theta)=-\frac{\sqrt{5}}{3}

step 3

Find the tan(\theta)

we know that

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

we have

sin(\theta)=\frac{2}{3}

cos(\theta)=-\frac{\sqrt{5}}{3}

substitute

tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}

Simplify

tan(\theta)=-\frac{2\sqrt{5}}{5}

6 0
2 years ago
5(g+8)-7=103<br>what's the answer?
castortr0y [4]
Do you need the steps? g=14
3 0
3 years ago
Read 2 more answers
What is the vertical asympote of f(x)=x
Aleonysh [2.5K]
The answer isnt 7 thats forsure

8 0
3 years ago
Read 2 more answers
(0, -2) is a solution of the equation 2x - 3y = 6. true or false
lisov135 [29]

Answer:

It is a solution of the ordered pair.

Step-by-step explanation:

The y intercept is (0,-2)

5 0
3 years ago
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