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Katen [24]
3 years ago
11

There _____________ with angle measures of 30°, 70°, and 80°

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
8 0

Answer:

more than 2 triangles

Step-by-step explanation:

well, all triangles have angles add up to 180 degrees, so it is an infinite amount

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Lastima Nelson, Inc. is recruiting a new Chief Financial Officer (CFO). The recruiting budget is $44,000. Lastima has spent $10,
Musya8 [376]
The budget is $44000

Total spent so far is $10000 + $8500 = $18500

The amount left to spend = 44000 - 18500 = $25500

$25500 is the maximum 6% commission that Lastima Nelson Inc. can spend and stays within the budget

Let the maximum price of the home be x
This value of x will be the 100% before the 6% commission is calculated of it.

6% of x is 25500
1% of x is 25500 ÷ 6 = $4250
100% of x is 4250 × 100 = $425,000

So, the maximum value of the home is $425,000
5 0
4 years ago
Sample Size for Proportion As a manufacturer of golf equipment, the Spalding Corporation wants to estimate the proportion of gol
Dima020 [189]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56  

And rounded up we have that n=2663

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

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 population proportion have the following distribution

\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.025 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We can assume an estimated proportion of \hat p =0.5 since we don't have prior info provided. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56  

And rounded up we have that n=2663

6 0
4 years ago
Which of the following is equivalent to xy3z2 + y2z + xyz when it is completely factored?
juin [17]
<span>xy</span>³<span>z</span>²<span> + y</span>²<span>z + xyz =
yz(xy</span>²z + y + x<span>)

Answer: C.</span>
3 0
3 years ago
Referring to triangle ABC, find the area of the triangle.
kondaur [170]

Answer:

Area = 337

Step-by-step explanation:

Given

a = 42.5

c = 35.5

B = 153.5^\circ

Required

Area of triangle

This is calculated as:

Area = 0.5 *a* c * \sin(B)

This gives:

Area = 0.5 *42.5* 35.5 * \sin(153.5)

Area = 0.5 *42.5* 35.5 * 0.4462

Area = 336.602125

Area = 337 --- approximated

4 0
3 years ago
Jasmine thinks that the images are the same because they are both isosceles triangles. Do you agree with Jasmine why or why not?
lorasvet [3.4K]

Answer:

No, images are not same as  their dimensions are different although two sides in each of the two triangles are equal.

Step-by-step explanation:

Given: images of two isosceles triangles.

To check: if images are the same

Solution:

A triangle is a polygon made up of three sides.

An isosceles triangle is a triangle in which two sides are equal. Also, in an isosceles triangle, angles opposite to equal sides are equal.

The given images of two isosceles triangles A and B are not the same as their dimensions are different although two sides in each of the two triangles are equal.

6 0
4 years ago
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