1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Basile [38]
3 years ago
13

What is the area of this trapezoid?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
4 0

Answer:

132 in

Step-by-step explanation:

rectangle- 12(8)=96

triangle 1- 3(12)= 36 divide by 2 = 18

triangle 2- same as tri. 1

rapeziod- 96+18+18=132

You might be interested in
SOLVE THIS PROBLEM ASAP PLS
boyakko [2]

Answer:

See below.

Step-by-step explanation:

9+(-4), or 9-4

7+(-2), or 7-3

5+0

They all equal 5.

-hope it helps

7 0
2 years ago
Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of pape
jenyasd209 [6]

Answer:

C. About 75 in²; Aubrey found the surface area of the cone and included the base.

Step-by-step explanation:

In the questions above we were given the following:

Cone with

Diameter(D) = 6 inches

Slant height (l) = 8 inches.

Aubrey made an error in her calculation.

She found the Total Surface area of the cone using the formula:

Total Surface Area of a cone = πrl + πr²

= πr(l + r)

The Total surface area of a cone is the calculated as Sum of the curved surface area of a cone and the base of the cone.

Where:

Curved surface area of the cone is calculated as = πrl

Base of a cone is calculated as = πr²

Where r = radius of the cone

l = slant height of the cone

In the question, we were given

slant height(l) = 8 inches.

radius = Diameter ÷ 2 = 6÷2 = 3 inches.

Using π = 3.14

Surface area = 3.14 × 3(8+3)

= 9.42 × 11

Surface area = 103.62 in²

Approximately to the nearest inch = 104 in² or 104 square inches.

But this answer is WRONG.

The RIGHT FORMULA Aubrey should have used is

Curved Surface Area or the Lateral Area of a Cone = πrL

slant height(l) = 8 inches.

radius = Diameter ÷ 2 = 6÷2 = 3 inches.

Using π = 3.14

Curved Surface Area of a Cone = πrL

= 3.14 × 3 inches × 8 inches

= 75.36 square inches or 75.36in²

Approximately to the nearest inch = 75 square inches or 75 in².

This is the correct answer.

The error Aubrey made was she calculated the Total surface area of the cone which includes the base of the cone instead of calculating the curved surface area of the cone only.

Hence, from the above calculation , we can see that Option C "About 75 in²; Aubrey found the surface area of the cone and included the base" is the correct option.

5 0
2 years ago
A researcher tests five individuals who have seen paid political ads about a particular issue. These individuals take a multiple
devlian [24]

Answer:

t=\frac{46-40}{\frac{5.148}{\sqrt{5}}}=2.606    

The degrees of freedom are given by:

df=n-1=5-1=4  

The p value wuld be given by:

p_v =2*P(t_{(4)}>2.606)=0.060  

For this case the p value is higher than the significance level so then we can conclude that the true mean is not significantly different from 40

The distribution with the critical values are in the figure attached

Step-by-step explanation:

Information given

48, 41, 40, 51, and 50

The sample mean and deviation can be calculated with these formulas:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

\bar X=46 represent the mean height for the sample  

s=5.148 represent the sample standard deviation

n=5 sample size  

\mu_o =40 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test

Hypothesis to test

We want to test if the true mean for this case is equal to 40, the system of hypothesis would be:  

Null hypothesis:\mu = 40  

Alternative hypothesis:\mu \neq 40  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing we got:

t=\frac{46-40}{\frac{5.148}{\sqrt{5}}}=2.606    

The degrees of freedom are given by:

df=n-1=5-1=4  

The p value wuld be given by:

p_v =2*P(t_{(4)}>2.606)=0.060  

For this case the p value is higher than the significance level so then we can conclude that the true mean is not significantly different from 40

The distribution with the critical values are in the figure attached

6 0
3 years ago
A(x-b)+bx+c=a, if a ≠ -b
Elena L [17]

Answer

x³ +4x²+7x+2

Step-by-step explanation:

3 0
3 years ago
If f(x) = 3x - 5, than f(2) =
Mamont248 [21]
If we substitute 2 into x it'll be:

3x - 5 \\ 3(2) - 5 \\ 6 - 5 \\ 1

5 0
2 years ago
Other questions:
  • Write an equation for the line parallel to the line −4x−8=0 through the point (0,−9)
    8·1 answer
  • A rug is 12 feet wide and 15 1/2 feet long what is the area of the rug
    6·1 answer
  • The volume of a cone is 218 cubic centimeters and the height of the cone is 13 cm. What is the radius of the cone to the nearest
    7·1 answer
  • Identify the independent and dependent variable
    7·2 answers
  • Natasha had d dollars. She bought 2 ice cream cones which cost x dollars each. How much money does she have left?
    8·1 answer
  • Kiersten has performed in a half dozen
    8·1 answer
  • What’s the correct answer for this?
    8·2 answers
  • 47/100 meter long and 5/10 meter equal
    12·1 answer
  • What is the approxiamate solution to this equation 4lnx-8=12
    6·1 answer
  • 8 junior high classes will be chosen to participate in a school improvement survey. there are 21 junior high classes in the scho
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!