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user100 [1]
2 years ago
15

I need help with this problem

Mathematics
1 answer:
m_a_m_a [10]2 years ago
8 0

Answer:

a. 74°

Step-by-step explanation:

Angle BCD and angle ACB are supplementary because they form a straight line. This means they add up to 180. We can write an equation to model the situation:

m<BCD + m<ACB = 180

106 + m<ACB = 180

m<ACB = 74

Since we are given two sides of the triangle are congruent, the triangle is isosceles. The base angles of an isosceles triangle are congruent, so we can say:

m<ACB = m<A

This means m<A is equal to 74°

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Does this graph represent a function? What is the domain and range of the graph
Daniel [21]
Yes it is a function. It passes the vertical line test. In other words, it is impossible to draw a single vertical line through more than one point on the V shaped graph. Any input leads to exactly one output.

The domain is the set of all real numbers. This is because we can plug in any x value leading to some specific y value. There are no holes or gaps or jumps to indicate we must restrict any given x value. The domain would not be the set of whole numbers only because values between the whole numbers (eg: decimal values like x = 2.75) work just fine. 

The range is the set of y values such that y is either 0 or larger than 0. In short, the range is y \ge 0. Notice how any point on the V shaped graph has a y coordinate that is either 0 or larger than 0. It is impossible to get a y value that is negative.

--------------------------------------------------------------------

In summary,
Yes it is a function
Domain: all real numbers
Range: y \ge 0
So the answer is choice B
6 0
3 years ago
PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!
Deffense [45]

Answer:23

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
GIVING EVERYTHING IF CORRECT. NO fake answers, you will be reported. And it hurts my grades so please don't.
seropon [69]

Answer:

A. 9.8 ft

Step-by-step explanation:

first convert the degrees to radians:

80° x (pi/180) ≈ 1.396

arc length = r x θ (always in radians)

= 7 x 1.396

= 9.772 ≈ 9.8 ft

3 0
3 years ago
A long paper strip with a width of 5 cm is folded, as shown in the picture. Find the smallest possible area of the gray triangle
Stolb23 [73]

By using some logic and the formula of the triangle's area, we will find that the smallest possible area is 12.5 cm²

How to start thinking about the problem.

First of all, for the configuration of this paper strip, we can see that the base of the triangle will <u>always be equal of the width of the paper</u>. Thus, the smallest area will be only dependent of the height of the triangle.

Now, we need to analyze the picture to figure out how we can get the smallest height possible for that triangle.

What is the smallest height possible.

Doing this, we shall see that the smallest height possible is actually when the height equals the width itself, as it's shown in the attached image.

How to calculate the smallest area possible.

Thus, to calculate the smallest area, we just have to use the formula of the area of the triangle, which is   \frac{b\times h}{2}<em>, where </em><u><em>b is the base</em></u><em> and </em><u><em>h is the height</em></u><em>.</em>

As we previously found, for this question, the

<em>base = height = width of the paper = 5cm</em>

Now, we just have to calculate it with the formula

Area = \frac{base \times height}{2} \\\\&#10;\\&#10;Area = \frac{5 \times 5}{2} \\&#10;\\&#10;Area = \frac{25}{2}\\&#10; \\&#10;Area = 12.5 cm^{2}

learn more about the area of the triangle here: brainly.com/question/15442893

3 0
2 years ago
G is a trigonometric function of the form g(x) = a cos(bx + c) + d.
olga55 [171]

Answer:

Step-by-step explanation:

0.5cos(2pi/9x-7pi/9)-4.5

8 0
2 years ago
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