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3 years ago

If these two shapes are similar, what is the measure of the missing length j?

Mathematics

1 answer:

nadya68 [22]3 years ago

8 0

Answer:

Step-by-step explanation:

If two shapes are similar, this means the ratio of similar sides to each other are the same.

So, in the green shape, the long side length is 5 mm. In the purple shape, the long side length is 10 mm in length. The ratio is therefore 5 to 10, which can be simplified to 1 to 2 (which is basically saying that the side lengths of the purple shape are double the length of the sides of the green shape).

Using the same 1 to 2 ratio, you know that the short side length on the green shape is 1. The short side length on the purple shape (j) must therefore be double, which is 2.

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In a class 27 of students, 12 have a cat and 11 have a dog. There are 5 students who have a cat and a dog. What is the probabili

frosja888 [35]

Answer:

41.67% probability that a student has a dog given that they have a cat

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: having a cat.

Event B: having a dog.

12 of 27 students have a cat:

This means that $P(A) = \frac{12}{27}$

5 students who have a cat and a dog.

This means that $P(A \cap B) = \frac{5}{27}$

What is the probability that a student has a dog given that they have a cat?

$P(B|A) = \frac{\frac{5}{27}}{\frac{12}{27}} = \frac{5}{12} = 0.4167$

41.67% probability that a student has a dog given that they have a cat

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3 years ago

The length of a rectangle is 3 feet less than 4 times the width. The perimeter is 34 feet

Lubov Fominskaja [6]

A.Equation

Step-by-step explanation:

A. Equation 30 plus 4

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3 years ago

Let $a_1$, $a_2$, . . . , $a_{10}$ be an arithmetic sequence. If $a_1 + a_3 + a_5 + a_7 + a_9 = 17$ and $a_2 + a_4 + a_6 + a_8 +

vfiekz [6]

a be first term and d be common difference

a+a+2d+a+4d+a+6d+a+9d=17
5a+21d=17--(1)

And

a+d+a+3d+a+5d+a+7d+a+9d=15
5a+25d=15--(2)

Eq(1)-Eq(2)

-4d=-2
d=1/2

Put in second one

5a+25d=15
a+5d=3
a+5/2=15
a=15-5/2
a=25/2

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2 years ago

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torisob [31]

Answer:

An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.

Step-by-step explanation:

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3 years ago

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Determine the equation of the inverse of:<br> f(x) = 5x^2+ 80x – 15

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Answer:

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