All categories

3 years ago

How do you find the height of a trapezoid

Mathematics

2 answers:

9966 [12]3 years ago

6 0

To solve this question, you must divide the trapezoid into a rectangle and two right triangles. Using the Pythagorean Theorem, you would calculate the height of the triangle which is 4. The dimensions of the rectangle are 5 and 4, hence the area will be 20.

dem82 [27]3 years ago

4 0

You can find the height of a trapezoid by dropping the altitude and using the side of the triangle that you have to find the height using the 45-45-90 triangle method or 30-60-90 triangle method, which will give you the other two sides, including the height

Hopefully that makes sense

You might be interested in

Ratio 7:5 end them Page : Date: 6) I If a pair F the supplementary are

elena-14-01-66 [18.8K]

Answer:

7:6

Step-by-step explanation:

yan ng sagot dont forget to heart

3 0

3 years ago

How many cubes will it take to fill the bottom layer of this rectangular prism?

Alik [6]

The bottmo layer should be the same as the top layer sinc it is all squares

count the top
6 squares
answer is 6 squares

7 0

3 years ago

A researcher planned a study in which a crucial step was offering participants a food reward. It was important that three food r

lbvjy [14]

Answer:

Step-by-step explanation:

Hello!

A pilot study was conducted to test if three food rewards are equally appealing to the participants.

Of 60 participants surveyed:

16 preferred cupcakes (CC)

26 preferred candy bars (CB)

18 preferred dried apricots (DA)

If the three types of food are equally appealing for the participants, you'd expect that their proportions will be equal: P(CC)=P(CB)=P(DA)= 1/3

The objective of this pilot study is to test if the observed frequencies follow a theoretical model/ distribution. To analyze this, you have to apply a Chi Square Goodness to Fit test. $X^2=sum \frac{(O_i-E_i)^2}{E_i} ~~X^2_{k-1}$ Where k= number of categories of the variable.

For this example the statistical hypotheses are:

H₀: P(CC)=P(CB)=P(DA)= 1/3

H₁: At least one of the proportions isn't equal to the others.

To calculate the expected frequencies for each category you have to use the formula: $E_i= n* P_i$ where Pi represents the theoretical proportion for the i category, stated in the null hypothesis.

$E_{CC}= n* P(CC)= 60*1/3= 20$

$E_{CB}= n*P(CB)= 60*1/3= 20$

$E_{DA}= n* P(DA)= 60* 1/3= 20$

The cutoff or critical value indicates the beginning of the rejection region for the hypothesis test. For the Chi-Square tests, the rejection region is always one-tailed to the right, meaning that you'll reject the null hypothesis if the value of the statistic is big. For the goodness to fit test you have k-1 degrees of freedom, so the critical value will be:

Assuming α: 0.05

$X^2_{k-1;1-\alpha /2}= X^2_{2;0.975}= 7.378$

The rejection region is then X²₂ ≥ 7.378

$X^2_{H_0}= \frac{(O_{CC}-E_{CC})^2}{E_{CC}} + \frac{(O_{CB}-E_{CB})^2}{E_{CB}} + \frac{(O_{DA}-E_{DA})^2}{E_{DA}} = \frac{(16-20)^2}{20} +\frac{(26-20)^2}{20} +\frac{(18-20)^2}{20}= \frac{14}{5}= 2.8$

I hope this helps!

5 0

3 years ago

At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?

vlada-n [284]

The answer would be D

5 0

3 years ago

You are part of the research group that hypothesized that relative humidity played a role in the transpiration differences. What

aleksandrvk [35]

Answer:

<h2>A) Population A has a high water potential and loss due to transpiration because of the increased humidity.</h2>

Step-by-step explanation:

Notice that the hypothesis is that relative humidity affects the transpiration of the body. So, in order to prove such hypothesis, we need to find enough evidence about water loss due to higher humidity. Knowing the relative humidity as the relation between water vapor and the pressure of it.

Therefore, the right answer is A, because we need to prove that a high water potential and loss due to transpitation happens because of the increased humidity.

6 0

3 years ago