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2 years ago

What are the missing variables?

Mathematics

2 answers:

lara31 [8.8K]2 years ago

5 0

Check the picture below.

solmaris [256]2 years ago

5 0

Answer:

x = 35°
y = 55°

Step-by-step explanation:

The angle marked x° is an inscribed angle that subtends an arc shown as 70°. The inscribed angle is half the measure of the arc:

x° = 70°/2

x° = 35°

The angles marked x° and y° are the acute angles of a right triangle, so are complementary.

y° = 90° -x° = 90° -35°

y° = 55°

You might be interested in

Please help me because I don't understand how to do it.:)

nadezda [96]

Answer:

231.7 cm^2

Step-by-step explanation:

We can find the area by adding the area of the rectangle to the area of the 2 triangles.

The rectangle is

7+7+7 by 9

21 by 9

A = length * width

A = 21*9

A = 189

The triangles are identical so we find the area of one of them and multiply by 2

The base is 7 and the height is 6.1

A = 1/2 b*h

but since we have 2 of them

2A = 2*1/2 b*h

2A = b*h

2A = (7* 6.1)

= 42.7

Add the rectangles area to the area of the two triangles

189 + 42.7

231.7 cm^2

6 0

3 years ago

The measure of each angle in the triangle

telo118 [61]

M of A = x
m of B = 2x-7
m of C = 2x+2

By the angle sum property of a triangle, we know that all the angles of a triangle add up to 180 degrees.

Thus we can create a linear equation

x + 2x-7 + 2x+2 = 180
4x = 185
x = 185/4
x = 46.25

Thus
m of A = 46.25
m of B = 2(46.25) -7 = 85.5
m of C = 2(46.25) +2 = 90.5

4 0

3 years ago

Find the surface area of this triangular prism

Yuki888 [10]

Answer:

300 in2

Step-by-step explanation:

area of 2 identical triangle + area of 3 rectangle = surface area

(5*12/2)*2 + 8*12 + 5*8 + 8*13 = 300 in2

4 0

4 years ago

Of all the people applying for a certain job, 80% are qualified and 20% are not. The personnel manager claims that she approve

motikmotik

Answer:

69.23% probability that a person is not qualified if he or she was not approved by the manager.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes:

In this problem, we have these following probabilities:

80% probability that a person is qualified

20% probability that a person is not qualified.

90% probability that a qualified person is approved.

10% probability that a qualified person is not approved.

10% probability that an unqualified person is approved.

90% probability that an unqualified person is not approved.

Find the probability that a person is not qualified if he or she was not approved by the manager.

Desired outcomes

Unqualified and not approved.

20% are not qualified. Of those, 90% were not approved. So

$0.9*0.2 = 0.18$

Total outcomes:

Qualified and not approved or unqualified and not approved.

80% are qualified. Of those, 10% were not approved

20% are not qualified. Of those, 90% were not approved. So

$0.8*0.1 + 0.9*0.2 = 0.26$

Probability

$P = \frac{0.18}{0.26} = 0.6923$

69.23% probability that a person is not qualified if he or she was not approved by the manager.

7 0

3 years ago

Differentiating Functions of Other Bases In Exercise, find the derivative of the function.

aniked [119]

Answer:

$\dfrac{dy}{dx} = \frac{2x-3}{\ln 16(x^2 - 3x)}$

Step-by-step explanation:

We are given the following in the question:

$y = \ln {16}(x^2 - 3x)$

We have to find the derivative of the given expression.

$y = \ln 16(x^2 - 3x)\\\text{Using the log propert}\\\\\log_a b = \dfrac{\log b}{\log a}\\\\dfrac{d(x^n)}{dx} = nx^{n-1}\\\\\dfrac{d(\log x)}{dx} = \dfrac{1}{x}\\\\\text{\bold{Differentiating we get}}\\\\\displaystyle\frac{dy}{dx} = \frac{d(\ln 16(x^2-3x))}{dx}\\\\= \frac{1}{16(x^2-3x)})\frac{d(x^2-3x)}{dx}\\\\=\frac{1}{\log 16(x^2-3x)}(2x - 3)\\\\= \frac{2x-3}{\ln 16(x^2 - 3x)}$

$\dfrac{dy}{dx} = \frac{2x-3}{\ln 16(x^2 - 3x)}$

7 0

4 years ago