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
Contact [7]
2 years ago
11

1. A trapezoid has an area of 91 m2. The height of the trapezoid is 7 m and the measure of one base is twice the height. What is

the measure of the other base of the trapezoid? To receive full credit, you must show your work.
Mathematics
2 answers:
Lynna [10]2 years ago
6 0
The area of the trapezoid is given by:
 A = (1/2) * (b1 + b2) * (h)
 Where,
 b1, b2: bases of the trapezoid
 h: height
 Substituting values we have:
 91 = (1/2) * ((2 * 7) + b2) * (7)
 Rewriting we have:
 91 = (1/2) * (14 + b2) * (7)
 (2/7) * 91 = 14 + b2
 b2 = (2/7) * 91 - 14
 b2 = 12 m
 Answer:
 
The measure of the other base of the trapezoid is:
 
b2 = 12 m
ludmilkaskok [199]2 years ago
5 0

Answer:

The area of the trapezoid is given by:

A = (1/2) * (b1 + b2) * (h)

You might be interested in
A skate ramp is 4.2 meters long. It rises up 1.7 meters. What’s is the angle of elevation to the nearest tenth of a degree?
Kipish [7]
Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.
4 0
2 years ago
An article in Fire Technology investigated two different foam-expanding agents that can be used in the nozzles of firefighting s
UNO [17]

Answer:

Step-by-step explanation:

Hello!

The objective of this experiment is to test if two different foam-expanding agents have the same foam expansion capacity

Sample 1 (aqueous film forming foam)

n₁= 5

X[bar]₁= 4.7

S₁= 0.6

Sample 2 (alcohol-type concentrates )

n₂= 5

X[bar]₂= 6.8

S₂= 0.8

Both variables have a normal distribution and σ₁²= σ₂²= σ²= ?

The statistic to use to make the estimation and the hypothesis test is the t-statistic for independent samples.:

t= \frac{(X[bar]_1 - X[bar]_2) - (mu_1 - mu_2)}{Sa*\sqrt{\frac{1}{n_1} + \frac{1}{n_2 } } }

a) 95% CI

(X[bar]_1 - X[bar]_2) ± t_{n_1 + n_2 - 2}*Sa* \sqrt{\frac{1}{n_1}+\frac{1}{n_2} }

Sa²= \frac{(n_1-1)S_1^2 + (n_2-1)S_2^2}{n_1 + n_2 - 2}= \frac{(5-1)0.36 + (5-1)0.64}{5 + 5 - 2}= 0.5

Sa= 0.707ç

t_{n_1 + n_2 -2: 1 - \alpha /2} = t_{8; 0.975} = 2.306

(4.7-6.9) ± 2.306* (0.707\sqrt{\frac{1}{5}+\frac{1}{5} })

[-4.78; 0.38]

With a 95% confidence level you expect that the interval [-4.78; 0.38] will contain the population mean of the expansion capacity of both agents.

b.

The hypothesis is:

H₀: μ₁ - μ₂= 0

H₁: μ₁ - μ₂≠ 0

α: 0.05

The interval contains the cero, so the decision is to reject the null hypothesis.

<u>Complete question</u>

a. Find a 95% confidence interval on the difference in mean foam expansion of these two agents.

b. Based on the confidence interval, is there evidence to support the claim that there is no difference in mean foam expansion of these two agents?

8 0
3 years ago
8 cars (3 red, 3 blue, 2 yellow) are parked in a line, how many arrangements can be formed if all the cars of each colour are id
Ronch [10]

Answer:

the answer is 18. There are 18 ways to arrange the cars.

4 0
3 years ago
Abby can buy an 8-pound bag of dog food for $7.40 or a 4- pound of the same dog food for 5.38. Which is better buy?
My name is Ann [436]
The answer to your Q the better one it is the 4- pound bag because it coast less money
7 0
3 years ago
Explain how to find 40x80 using mental math
nadya68 [22]

so 40 * 80 = 3,200

4 * 8 = 32

Then add the two 0's to the end

so 3,200

5 0
2 years ago
Read 2 more answers
Other questions:
  • If the chair lift is 25 feet above the ground, will Jorge have 0, 1 or 2 chances to catch the camera
    13·1 answer
  • Help please 5 minutes to turn in
    10·1 answer
  • Which segment is parallel to BC
    14·1 answer
  • ⅜ and 11\12 greater than less than or equal
    11·1 answer
  • Round to the place value of the underlined digit 862, 840. The 6 in 862,840
    11·1 answer
  • The graph of a proportional relationship contains the point (20, 4).
    12·1 answer
  • While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4 -cup measuring cup.
    9·1 answer
  • Please help with this question and pls don't give me a bizarre answer that doesn't help me
    9·1 answer
  • The math department is putting together an order for new calculators. The student are asked what model and color they prefer
    11·1 answer
  • Solve and express to the lowest term 3 1/2 x 2 1/3 = ?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!