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OLga [1]
2 years ago
10

21 and 22 are complementary angles. The measure of Z1 is 45 The measure of Z2 is 3x°. Find the value of x. The figure is not dra

wn to scale​
Mathematics
1 answer:
Alex2 years ago
6 0

9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

<u>Given</u>:

  ∠1 + ∠2 = 90°

  ∠1 = 45°

  ∠2 = 3x°

<u>Find</u>:

  x

<u>Solution</u>:

  Using the given values in the given equation, we have ...

  45° +3x° = 90°

  15 + x = 30 . . . . . . divide by 3°

  x = 15 . . . . . . . . . . . subtract 15

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The can of tomatoes is three times as tall but one-third as wide as the can of tuna. What is true about the areas of their label
yulyashka [42]
Problem One
Call the radius of the second can = r
Call the height of the second can = h

Then the radius of the first can = 1/3 r
The height of the first can = 3*h

A1 / A2 = (2*pi*(1/3r)*(3h)] / [2*pi * r * h] 

Here's what will cancel. The twos on the right will cancel. The 3 and 1/3 will multiply to one. The 2 r's will cancel. The h's will cancel. Finally, the pis will cancel

Result A1 / A2 = 1/1
The labels will be shaped differently, but they will occupy the same area.

Problem Two
It seems like the writer of the problem put some lids on the new solid that were not implied by the question.

If I understand the problem correctly, looking at it from the top you are sweeping out a circle for the lid on top and bottom, plus the center core of the cylinder. 

One lid would be pi r^2 = pi w^2 and so 2 of them would be 2 pi w^2
The region between the lids would be 2 pi r h for the surface area which is 2pi w h

Put the 2 regions together and you get
Area = 2 pi w^2 + 2 pi w h

Answer: Upper left corner  <<<<< Answer
8 0
3 years ago
Weights were recorded for all nurses at a particular hospital, the mean weight for an individual nurse was 135 lbs. with a stand
Aloiza [94]
Given:
population mean, &mu; =135
population standard deviation, &sigma; = 15
sample size, n = 19

Assume a large population, say > 100,
we can reasonably assume a normal distribution, and a relatively small sample.
The use of the generally simpler formula is justified.

Estimate of sample mean
\bar{x}=\mu=135

Estimate of sample standard deviation
\s=\sqrt{\frac{\sigma^2}{n}}
=\sqrt{\frac{15^2}{19}}=3.44124  to 5 decimal places.

Thus, using the normal probability table,
P(125
=P(\frac{125-135}{3.44124}
=P(-2.90593
=P(Z
=P(Z

Therefore 
The probability that the mean weight is between 125 and 130 lbs 
P(125<X<130)=0.0731166-0.0018308
=0.0712858



3 0
3 years ago
Which autocad command can we use to quickly calculate the area and perimeter of a closed region defined by a polyline?
polet [3.4K]

The answer is: The Area command.

The explanation is shown below:

1. The Area command is a very useful command in AutoCad, and you can use it to calculate  the area and the perimeter of a closed region draw with a polyline.

2. To use this command, you only need to type AREA and press the enter button. Then, you must select the points of the closed region and press enter again. Once you do this, the software will show you the perimeter and the area.

4 0
3 years ago
Please help solve!!!!!!!!!!
Deffense [45]

Answer:

Height = 17.31821 feet

Step-by-step explanation:

<u><em>Explanation</em></u>

<u><em>From graph</em></u>

Given angle θ = 6.5°  and a = 152 feet

we need to find the height (h)

By using the tangent rule

                   tan \alpha = \frac{opposite side}{adjacent side}

                  tan 6.5 = \frac{b}{152}

    Cross multiplication , we get

               b = 152 × tan 6.5°

               b = 152 × 0.113935

              b = 17.31821 feet

Height = 17.31821 feet

6 0
3 years ago
PLEASE MAKE SURE HELP MEEEEEEEEEEEEE!
LiRa [457]

Answer:

Step-by-step explanation:

a coefficient is a number with a variable so yea. i also added some pics  for it too

you good homie :)

7 0
2 years ago
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