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Stells [14]
3 years ago
9

Identify the correct trigonometry formula to use to solve for the given angle.

Mathematics
1 answer:
tangare [24]3 years ago
3 0

Answer:

D

Step-by-step explanation:

So we want to figure out the measure of angle ?.

We already know that sides <em>opposite</em> and <em>adjacent</em> to the angle.

Therefore, we need to use tangent. Recall that tangent:

\tan(?)=opp/adj

Substitute 34 for the opposite and 48 for the adjacent:

\tan(?)=34/48

Divide (approximately):

\tan(?)=0.71

Take the inverse tangent of both sides:

?=\tan^{-1}(0.71)

So, our answer is D

And we're done!

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Are the following triangles similar? Justify your answer.
alukav5142 [94]
Yes. The triangles are both right triangles, which means they both have a single right angle.
3 0
3 years ago
ANSWER PLEASE !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!
9966 [12]

Answer:

62 degrees

Step-by-step explanation:

First, it is important to note that all three angles in a triangle add up to be 180 degrees, and if you draw a straight line extending off the side of a triangle, the outside angle and the inside angle are supplementary (they add to be 180 degrees). So,(3x+3)+(2x+4)-180=measure angle F, and 180-(7x-5)=measure angle F according to the rules respectively. Since both of these equations are equal (they both equal the measure of angle F) we can set them equal to each other to find the value of x=> 180-(7x-5)=(3x+3)+(2x+4)-180=> 180-7x-5=3x+3+2x+4-180. Now combine like terms=>175-7x=5x-173. Now, add 7x to both sides and add 173 to both sides to get the variables on one side of the equation=> 175+173-7x+7x=5x+7x-173+173 (the 7x and -7x on the left side and the 173 and -173 on the right side cancel out) =>348=12x. Divide both sides by twelve to find x=> 29=x. Now, plug 29 into what is given for angle FDE=> 2(29)+4=

58+4=

62 degrees

5 0
3 years ago
10. A cylindrical can has a base with a diameter of 6 cm. Its height measures 5 cm. What is the total surface area of the can?
eduard

Answer:

  • Total surface area of cylinderal can is 150.8 cm²

<u>Step-by-step </u><u>explanation</u><u>:</u><u> </u>

Given that a cylinderal can has base with a diameter of 6 cm and its height measures 5 cm.

So,

Radius = Diameter/2 = 6/2 = 3 cm

We know that,

  • TSA of cylinder = 2πr(h + r)

Substituting required values:

➝ TSA = 2 × 22/7 × 3(5 + 3)

➝ TSA = 44/ 7 × 3 × 8

➝ TSA = 1056/7

➝ TSA = 150.8 cm²

Hence,

  • <u>Total </u><u>surface </u><u>area </u><u>of </u><u>cylinderal</u><u> </u><u>can </u><u>is </u><u>1</u><u>5</u><u>0</u><u>.</u><u>8</u><u> </u><u>cm²</u>
6 0
2 years ago
Read 2 more answers
Please help!!
lyudmila [28]
3(-12)-17= 3 times -12 is -36
-36-17= -53
8 0
3 years ago
Read 2 more answers
- 3x + y = 6<br> what is the slope-intercept
tatiyna

Answer:

Slope: 3 Y-intercept: 6

Step-by-step explanation:

You want to put this equation into y=mx+b form so it's easier to tell.

Add 3x on both sides.

y = 3x + 6

The slope is always the coefficient (number) in front of the x in the y = mx + b form. 6 is the y-intercept (reason: the y-intercept is when x=0, and when you substitute 0 for x in this, you get y=6).

5 0
3 years ago
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