All categories

3 years ago

!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

JulijaS [17]3 years ago

7 0

Answer:

x = 22°

3x + 2 = 64°

Step-by-step explanation:

All angles in a triangle must add up to 180°

90 + x + 3x + 2 = 180

Rearrange and collect like terms and place them on either side

4x = 88

x = 22°

3x + 2

3(22) + 2

= 64°

You might be interested in

The central angle of an arc measures 120° The radius of the circle measures 3 cm what is the area of the sector to the nearest h

jeka57 [31]

Answer:

The area of the sector should be 9.42 $cm^2$ .

Step-by-step explanation:

-The formula for finding the area of a sector:

$A = \frac{Arc}{360} \pi r^2$

-Next use the arc measure and the radius in order to solve and get the answer:

$A = \frac{120\textdegree}{360\textdegree}\pi 3^2$

-Solve:

$A = \frac{120\textdegree}{360\textdegree}\pi 3^2$

$A = \frac{120\textdegree}{360\textdegree}\pi \times3^2$

$A = \frac{1}{3} \pi \times 3^2$

$A = \frac{1}{3} \pi \times 9$

$A = 3\pi \approx 9.424$

-Round to the nearest hundredth:

$A \approx 9.42$

8 0

3 years ago

The answer to the question # 4

Lerok [7]

Answer: y=4

Step-by-step explanation:

In order to find y axis interception , you need to substitute the x=0 into your equation, by doing this you get 3*2^(0)+1 which is eventually equals to 4

5 0

3 years ago

Select the correct solution set 2x-8<7

timama [110]

Answer:

the quordinates would be 1, 5

the quordinates would be 23,1

15.

16.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A. Student GPAs: Bob’s z-score z = + 1.71 μ = 2.98 σ = 0.36 b. Weekly work hours: Sarah’s z-score z = + 1.18 μ = 21.6 σ = 7.1 c.

hjlf

Answer:

a) $x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

b) $x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

c) $x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.71, \mu = 2.98,\sigma = 0.36$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

Part b

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = 1.18, \mu = 21.6,\sigma = 7.1$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

Part c

Let X the random variable of interest for this case. We define the z score with the following formula:

$z=\frac{x-\mu}{\sigma}$

And for this case we know that $z = -1.35, \mu = 150,\sigma = 40$

If we solve for x from the z score formula we got:

$x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

5 0

3 years ago

Which choice would transform the rectangle to quadrant IV?

8090 [49]

Answer:

reflect over the x-axis

Step-by-step explanation:

Transformation is the movement of point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

If a point A(x, y) is rotated 180° clockwise about the origin the new position would be A'(-x, -y)

If a point A(x, y) is reflected over the y-axis the new position would be A'(-x, y).

If a point A(x, y) is reflected over the x-axis the new position would be A'(x, -y)

If a point A(x, y) is translated a units left the new position would be A'(x-a, y).

The rectangle has points at (2, 2), (2, 5), (7,2), (7,5). If the rectangle is reflected over the x-axis the new position would be at (2, -2), (2, -5), (7, -2), (7, -5) which is at the fourth quadrant

4 0

3 years ago