Convert the following equation to slope-intercept form to graph: 7x

30 points! Find the angles formed by two intersecting lines, if the sum of three of the four angles is equal to 270°.

nydimaria [60]

Each angle is 90 degrees because 90 times 3 is 270.

8 0

3 years ago

the base of the pyramid in the diagram is a regular hexagon. The length of each side of the hexagon is 6 ft and the height of th

miss Akunina [59]

Answer:

The volume of the pyramid is $V=187\ ft^{3}$

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the base of the pyramid

H is the height of the pyramid

we have

$B=93.5\ ft^{2}$

$H=6\ ft$

substitute

$V=\frac{1}{3}(93.5)(6)=187\ ft^{3}$

5 0

3 years ago

Read 2 more answers

Pls help i give brainliest

GalinKa [24]

10,000 in the answer

3 0

3 years ago

An observation deck extends 202 feet out above the valley. The deck sits 152 feet above the valley floor. If an object is droppe

OleMash [197]

Answer:

Step-by-step explanation:

Given the height of the object as it drops from the observation deck expressed as;

h= -16t^2+152

To determine the the time it will take the object to be 8 feet above the valley floor, we will substitute h = 8 into the equation and calculate t as shown;

8 = -16t^2+152

subtract 8 from both sides

8-8 = -16t^2+152-8

0 = -16t^2+144

0-144 = -16t^2

-144 = -16t^2

16t^2 = 144

Divide both sides by 16;

16t^2/16 = 144/16

t^2 = 9

t = √9

t = 3seconds

Hence it will take 3 seconds for the object to be 8 feet above the valley floor

6 0

3 years ago

Again ... Commute times in the U.S. are heavily skewed to the right. We select a random sample of 500 people from the 2000 U.S.

VladimirAG [237]

Answer:

We conclude that the mean commute time in the U.S. is less than half an hour.

Step-by-step explanation:

We are given that a random sample of 500 people from the 2000 U.S. Census is selected who reported a non-zero commute time.

In this sample the mean commute time is 27.6 minutes with a standard deviation of 19.6 minutes.

Let $\mu$ = mean commute time in the U.S..

So, Null Hypothesis, $H_0$ : $\mu \geq$ 30 minutes {means that the mean commute time in the U.S. is more than or equal to half an hour}

Alternate Hypothesis, $H_A$ : $\mu$ < 30 minutes {means that the mean commute time in the U.S. is less than half an hour}

The test statistics that would be used here One-sample t-test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean commute time = 27.6 minutes

s = sample standard deviation = 19.6 minutes

n = sample of people from the 2000 U.S. Census = 500

So, the test statistics = $\frac{27.6 -30}{\frac{19.6}{\sqrt{500} } }$ ~ $t_4_9_9$

= -2.738

The value of t test statistic is -2.738.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical values of -1.645 at 499 degree of freedom for left-tailed test.

Since our test statistic is less than the critical value of t as -2.378 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean commute time in the U.S. is less than half an hour.

4 0

3 years ago

Convert the following equation to slope-intercept form to graph: 7x – y = –3