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
Degger [83]
3 years ago
5

Find the area of the parallelogram shown below and choose the appropriate result.

Mathematics
1 answer:
Lisa [10]3 years ago
6 0

Answer:

The area of the parallelogram is 0.1875 mile² ⇒ D

Step-by-step explanation:

The formula of the area of a parallelogram is A = b1 × h1 = b2 × h2, where

  • b1 and b2 are two adjacent sides of it
  • h1 and h2 are the heights perpendicular to these bases

In the given figure

∵ There is a parallelogram

∵ One of its bases is 0.25 mile

∴ b1 = 0.25 mile

∵ the height of this base is 0.75 mile

∴ h1 = 0.75 mile

→ By using the rule of the area above

∴ The area of the parallelogram = 0.25 × 0.75

∴ The area of the parallelogram = 0.1875 mile²

∴ The area of the parallelogram is 0.1875 mile²

You might be interested in
In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad
zysi [14]

Answer:  a) 0.0792   b) 0.264

Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

Given : Probability that families own a dog : P(D)=0.36

Probability that families own a dog also own a cat : P(C|D)=0.22

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
Mr Prothero places £3003 into a
mamaluj [8]

Answer:

£3,543.54

Step-by-step explanation:

Amount after 2 years = Principal + interest

Get the interest

Interest = PRT/100

Interest = 3003 * 9 * 2/100

Interest = 3003 * 18/100

Interest  = 30.03 * 18

Interest  = 540.54

Amount after 2 years = 3003 + 540.54

Amount after 2 years = £3,543.54

6 0
3 years ago
Which of the following correlation coefficients would correspond to a strong linear relationship in a data set?
Alik [6]
The answer would be... B 0.5
4 0
3 years ago
Graph the image of this figure after a dilation with a scale factor of 1/3 centered at the origin.
posledela

Answer:

see attached diagram

Step-by-step explanation:

A dilation with a scale factor of \dfrac{1}{3} centered at the origin has a rule:

(x,y)\mapsto\left(\dfrac{x}{3},\dfrac{y}{3}\right).

Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates

  • D\left(\dfrac{-3}{3},\dfrac{3}{3}\right)\Rightarrow D(-1,1);
  • E\left(\dfrac{3}{3},\dfrac{9}{3}\right)\Rightarrow E(1,3);
  • F\left(\dfrac{6}{3},\dfrac{6}{3}\right)\Rightarrow F(2,2).

3 0
3 years ago
Please help!!!! ASAP HURRY
velikii [3]
Your answer is the matrix with the top row of -8  20   0  and bottom row of 
4   32   -4
5 0
3 years ago
Other questions:
  • Negative ten is not than two times a number plus fourteen
    8·1 answer
  • He equation 2x + 8 = 2(x + 5) has
    13·1 answer
  • Solve: 2x + 1 = 3x - 2
    10·2 answers
  • Find the rational solution of x3 – 3x2 + x + 5 = 0. Show your use of the Rational Zero Theorem to receive credit!
    11·1 answer
  • Mrs. Allen a high school teacht is grading quizzes and tests this weekend she has at most 4 hours or 240 minutes to spend gradin
    8·1 answer
  • When comparing data quickly, it’s best to use a
    6·1 answer
  • Graph the points (0, -2), (4, 0) and (2, 0). If you want to create a parallelogram, which of the following points should be used
    15·2 answers
  • How many 2 and 2/3 yard pieces of rope can be cut from a bundle that has 21 yards of rope
    15·1 answer
  • Pls help will mark brainliest Which factor has the most significant impact on the economy of North Korea?
    10·1 answer
  • Irene has 2 yards of fabric how many 1/5 yard pieces does she cut altogether?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!