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3 years ago

A parallelogram with four right angles? Which one is it??

Mathematics

2 answers:

Sliva [168]3 years ago

8 0

Y is the answer for four right angles

mr Goodwill [35]3 years ago

4 0

Hello!

$\large\boxed{\text{Choice Y.}}$

A parallelogram with four right angles is a rectangle. (Notice that all corners look the same)

The only choice that shows a rectangle is choice Y.

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The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo

kompoz [17]

Answer:

$h = 12$

$x = 9$

$y= 16$

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

$A = \frac{1}{2} * 15 * 20$

$i.e\ height = 20$

$A = \frac{1}{2} * 300$

$A = 150$

Let the base of the triangle be 25.

So, the area is:

$A = \frac{1}{2} * 25 * h$

$i.e\ height = h$

$A = \frac{1}{2} * 25h$

Substitute $A = 150$

$\frac{1}{2}*25h = 150$

Solve for h

$h = \frac{150 *2}{25}$

$h = 6 *2$

$h = 12$

Considering the smallest triangle

$Hypotenuse = 15$

So:

$15^2 = h^2 + x^2$

$15^2 = 12^2 + x^2$

This gives:

$15^2 - 12^2 = x^2$

$81 = x^2$

Take square roots

$9 =x$

$x = 9$

Solving for y

$x + y = 25$

$y= 25 - x$

$y= 25 - 9$

$y= 16$

7 0

2 years ago

you burn 200 calories by walking for 60 minutes how many calories will you burn if you walk 12 minutes?

shusha [124]

Answer:

16.666

Step-by-step explanation:

divid 200 by 12

6 0

3 years ago

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 404 gram setting. It

Nezavi [6.7K]

Answer:

There is no sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

We are given;

n = 27 bags

Sample mean;X = 402 gram

Population mean;μ = 404 gram

Variance = 676

We know that, standard deviation(σ) = √variance

Thus;

σ = √676

σ = 26

The hypotheses are;

Null hypothesis; H0: μ = 404

Alternative hypothesis; HA: μ < 404

Let's find the z-score from the formula;

z = (X - μ)/(√σ/n)

z = (402 - 404)/√(26/27)

z = -2.04

From the z-distribution table attached, we have a p-value of 0.02068

This is less than the significance value of 0.01 and thus we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that the bags are underfilled

6 0

4 years ago

The number of patients treated at Dr. McCormick’s dentist office each day was recorded for nine days. These are the data: 13, 16

NARA [144]

First, lets sort the list from smallest to greatest. This will help with median, mode, and range.

4, 6, 10, 12, 12, 13, 16, 16, 16

Next, lets find the mean. Mean is found by adding all numbers up, then dividing them by the number of entries in the data set.

$4+6+10+12+12+13+16+16+16 = 105$
$105 / 9 = 11.7$

So the mean is 11.7.

Next, we'll find the median. The median is the value in the center of the list. Because there are 9 values, that means the center of the list is 5 with four numbers on each side of it. The 5th number in the list is 12, so that's our median.

Continuing, the mode is the number or numbers that appears the most often. For this data set, 16 appears 3 times while all other numbers appear 2 times or less. So, the mode is 16.

Lastly, the range is the difference between the largest number and the smallest number.

$16 - 4 = 12$

So the range is 12.

The second answer in the list matches all of these values, and is the correct solution.

7 0

3 years ago

Read 2 more answers

Solve -14-5y >-64<br> A. Y<10<br> B.y>-10<br> C. Y>10<br> D.y<-10

amm1812

Hello :D

Answer:

A. $Y$

Step-by-step explanation:

First, you add by 14 both sides of an equation.

-14-5y+14>-64+14

Then, simplify by equation.

-64+14=-50

-5y>-50

Multiply -1 both sides.

(-5y)(-1)<(-50)(-1)

5y<50

Divide by 5 both sides of an equation.

5y/5<50/5

Divide numbers from left to right.

50/5=10

y<10 is the correct answer.

Hope this helps you! :D

6 0

3 years ago