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gizmo_the_mogwai [7]
10 months ago
7

What is the approximate measure of angle T in the triangle below 79° 84° 96° 101°

Mathematics
1 answer:
Anestetic [448]10 months ago
4 0

The approximate measure of angle T in the given diagram is 79°. The correct option is the first option 79°

<h3>Law of Cosines</h3>

From the question, we are to determine the approximate measure of angle T

From the law of cosines, we can write that

cosT = (s² + u² - t²)/2su

From the diagram,

s = 3.9 cm

u = 2.7 cm

t = 4.3 cm

Thus,

cosT = (3.9² + 2.7² - 4.3²)/2(3.9)(2.7)

cosT = (15.21 + 7.29 - 18.49)/21.06

cosT = 4.01/21.06

cosT = 0.1904

T = cos⁻¹(0.1904)

T = 79.02°

T ≈ 79°

Hence, the approximate measure of angle T in the given diagram is 79°. The correct option is the first option 79°

Learn more on Law of Cosines here: brainly.com/question/28081595

#SPJ1

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Which table represents the equation y = -2x + 17?
Alexeev081 [22]
<h3>Answer: Choice A</h3>

Explanation:

Each table has x = 10 in it. Plug this value into the given equation.

y = -2x+17

y = -2*10+17

y = -20+17

y = -3

The input x = 10 leads to the output y = -3. Table A shows this in the middle-most row. So that's why choice A is the answer. The other tables have x = 10 lead to y values that aren't -3 (eg: choice D has x = 10 lead to y = 12), so we can rule them out.

7 0
2 years ago
5x = 40 what does the x going to equal
storchak [24]

start by diving 5 from each side so you are lrft with x on the left side, 40/5=8. now our equation is x=8 and that's the answer!

8 0
1 year ago
Read 2 more answers
Fill in the blanks with &lt;, &gt; or = sign.<br> [-4] ______ [-8]<br> [-100] _____0
steposvetlana [31]

Answer:

the first ones >

Step-by-step explanation:

the second ones <

4 0
2 years ago
You work forty hours a week at a furniture store. You receive a 1,200 dollar weekly salary, plus a 4.1% commision on sales over
Pachacha [2.7K]
If you call x the total value of the sales, the sale over 12,000 will be: g(x) = 12,000 - x.

And the commission is 4.1% of that = 0.041 * (12,000 - x) = 0.041 * g(x)

So, if  f(x) = 0.041x, to calculate the commission you first have to calculate g(x) = 12,000 - x, and the f(g(x))=0.041[12,000 - x].

Which leads you to the solution for the commission as [f o g] (x) = f (g(x)) = 0.041 (12,000 - x).

Answer: [ f o g] (x)
4 0
3 years ago
What is the exact value of cos (67.5° )?
Brilliant_brown [7]

Answer:

0.38268343

Step-by-step explanation:

cos( 67.5 )

Rewrite  

67.5

as an angle where the values of the six trigonometric functions are known divided by  2 . cos ( 135\ 2)

Apply the cosine half-angle identity.

±

√

1

+

cos

(

135

)

2

 

Change the  

±

to  

+

because cosine is positive in the first quadrant.

√

1

+

cos

(

135

)

2

Simplify  

√

1

+

cos

(

135

)

2

√

2

−

√

2

2

The result can be shown in multiple forms.

Exact Form:

√

2

−

√

2

2

Decimal Form:

0.38268343

…

6 0
3 years ago
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