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antiseptic1488 [7]
3 years ago
12

The measures of two angles of a triangle are 49° and 75°. Find the measure of the third angle in degrees.

Mathematics
1 answer:
Alexeev081 [22]3 years ago
8 0
Answer: 56 degrees


Step by step:
The three angles in a triangle add up to 180 degrees.
49 + 75 + the third angle = 180
Let’s simplify.
180 - 49 - 75 = the third angle
So, by subtracting, we know that the third angle is 56 degrees!


Hope this helps! Please tell me if I did anything wrong, thank you so much and have a good day!
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What is the minimum force required to prevent a ball weighing 22.6 lb from rolling down a ramp which is inclined at 39.0 degrees
Alona [7]
The correct answer is 14.2 lb which is choice D.

Let:

F = minimum force required to prevent ball from rolling down the ramp

The formula will be:

F = w * sin theta

F = w * sin (39 degrees)

F = 22.6 * sin (39) 
= 14.2 lb (this is rounded to the nearest tenth)
7 0
3 years ago
Simplify the following expression by combining like terms.<br> 3x + 4x² - 7x+ 9x2
EleoNora [17]

Answer:

13x² - 4x

Step-by-step explanation:

3x + 4x² - 7x + 9x² ← collect like terms

= (4x² + 9x² ) + (3x - 7x)

= 13x² + (- 4x)

= 13x² - 4x

7 0
2 years ago
The perimeter of a rectangle is
kondor19780726 [428]
<h3 /><h3>verified \: answer  \sqrt}</h3>

Equation for Perimeter of a rectangle: Perimeter = 2W + 2L

<h3>Defining the variables, let</h3>

<h3>Width = x</h3><h3>Length = 2x+3 (3 more than twice the width)</h3>

<h3>Plugging everything into the equation</h3>

<h3>30= 2(x) + 2(2x+3) using the distributive property,</h3>

<h3>30=2x+4x+6 combining like terms</h3>

<h3>30=6x+6 subtracting 6 from both sides,</h3>

<h3>24=6x divide both sides by 6</h3>

<h3>4=x This means that the width is 4 m.</h3>

<h3>To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for</h3>

<h3>L=2(4)+3</h3>

<h3>L=8+3 = 11 m</h3>

<h3>So the dimensions of the rectangle are width is 4 m and length is 11 m.</h3>

8 0
3 years ago
Read 2 more answers
Julie takes her kids to a playground that has the shape shown. A. While her kids are playing, Julie wants to get some exercise.
Leona [35]

Answer:

a.) Total distance Julie cover = 128 feet

b.) Total area , the playground cover = 256 ft²

Step-by-step explanation:

P. S : The exact question is -

As given,

Length of 1 side = 16 feet

As , we have

4 sides of same length

⇒ Total length of playground = 16 + 16 + 16 + 16 = 16(4) = 64 feet

a.)

As given Julie does 2 lap of the playground

⇒ Total distance Julie cover = 64 + 64 = 128 feet

b.)

As the playground has equal side, so it must be of square shape

And, we know

Area of square = (Length of one side)²

                        = ( 16 )² = 256 ft²

∴ we get

Total area , the playground cover = 256 ft²

5 0
3 years ago
Given that a function, g, has a domain of -20 sxs 5 and a range of 5 s 39 s 45 and that g(0) = -2 and g(-9) = 6, select the stat
luda_lava [24]

Answer:

option (B) and (D)

Step-by-step explanation:

It's just basic of domain and range just check out the domain and range you can get your answer .

Only option (B) and (D) satisfy in the given range and domain

8 0
3 years ago
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