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masha68 [24]
3 years ago
8

Edith wants to make a paperweight at pottery class. She wants the paperweight to have a pyramid-like shape with a base area of 1

20 square centimeters, and she wants it to weigh 400 grams. The density of the clay she is using is 1.6 grams per cubic centimeter. What should be the height of the paperweight?
Mathematics
2 answers:
vitfil [10]3 years ago
5 0

Answer:

6.25

Step-by-step explanation:

Answer on khan academy correct.

kati45 [8]3 years ago
4 0

Answer:

6.25

Step-by-step explanation:

I did it on Khan dw its correct

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Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither.
qaws [65]

Answer:

what triangle

Step-by-step explanation:

3 0
2 years ago
Please help!<br><br>In circle Y, what is m?<br><br><br>82°<br><br>100°<br><br>106°<br><br>118°
ss7ja [257]

Answer:

<em>The correct option is:  82°</em>

Step-by-step explanation:

In the given diagram, two chords RT and SU are intersecting.

According to the <u>Angle of intersecting chord theorem</u>, "<em>If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle</em>."

That means here......

94\°=\frac{1}{2}(m\widehat{RS}+m\widehat{TU})\\ \\ 94\°=\frac{1}{2}(106\°+m\widehat{TU})\\ \\ 2(94\°)=106\°+m\widehat{TU}\\ \\ 188\°=106\°+m\widehat{TU}\\ \\ m\widehat{TU}=188\°-106\°=82\°

So, the measure of arc TU is 82°

5 0
3 years ago
The number of hours worked per year per person in a state is normally distributed with a standard deviation of 39. A sample of 1
evablogger [386]

Answer:

The 98% confidence interval for the population mean number of hours worked per year per person is (2146, 2193).

Step-by-step explanation:

The question is incomplete.

The number of hours registered in the sample are:

2051 2061 2162 2167 2169 2171

2180 2183 2186 2195 2196 2198

2205 2210 2211

The sample mean can be calculated as:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{15}(2051+2061+2162+2167+2169+2171+2180+2183+2186+2195+2196+2198+2205+2210+2211)\\\\\\M=\dfrac{32545}{15}\\\\\\M=2169.67\\\\\\

We have to calculate a 98% confidence interval for the mean.

The population standard deviation is know and is σ=39.

The sample mean is M=2169.67.

The sample size is N=15.

As σ is known, the standard error of the mean (σM) is calculated as:

\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{39}{\sqrt{15}}=\dfrac{39}{3.873}=10.07

The z-value for a 98% confidence interval is z=2.326.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=2.326 \cdot 10.07=23.43

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 2169.67-23.43=2146\\\\UL=M+t \cdot s_M = 2169.67+23.43=2193

The 98% confidence interval for the population mean is (2146, 2193).

3 0
3 years ago
Are all supplementary angles are linear pairs?
Varvara68 [4.7K]
No, all linear pairs are supplementary but all supplementary angles are not linear pairs. 
6 0
3 years ago
Traffic signs are regulated by the Manual on Uniform Traffic Control Devices​ (MUTCD). The perimeter of a rectangular traffic si
sasho [114]

The length and width of rectangular traffic sign are 40 and 30 inches respectively

<h3><u>Solution:</u></h3>

Given that,

Perimeter of rectangular traffic sign = 140 inches

Let length and width be denoted as ‘L’ and ‘B’ respectively

Given that length is 10 inches longer than its width

L = 10 + B

<em><u>The perimeter of rectangle is given as:</u></em>

Perimeter = 2( L + B)

On substituting the values, we get

140 = 2(10 + B + B)

140 = 2(10 + 2B)

140 = 20 + 4B

B = 30

Therefore, the length is L = 10 + 30 = 40

Hence the dimensions length and width of the rectangle are 40 and 30 inches respectively.  

5 0
3 years ago
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