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2 years ago

Find the circumference and area of a circle having a diameter of 7 1/2 ft. Use 3.14 for pi

Mathematics

1 answer:

valina [46]2 years ago

8 0

Answer:

circumference= 32.56

area= 44.18

Step-by-step explanation:

for area: (A=pi×r^2) your diameter is 7.5 so you divide that by 2 to get your radius. and the radius is 3.75. then you are going to do 3.75^2 to get 14.1 then you are going to multiply 14.1 by pi to get 44.18

for circumference: (2×pi×r) you are going to take the same radius for the area and simply multiply that by pi (3.14) to get 11.78, then you are going to multiply 11.78×2 and that equals 23.56

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What is the y-intercept of the graph of the line whose equation is y=3/4x+1

Tanzania [10]

Answer:

The correct answer is "1".

Step-by-step explanation:

You need only set x to zero, and solve for y:

$y = \frac{3}{4} x + 1\\y = \frac{3}{4}0 + 1\\y = 1$

4 0

3 years ago

Bradley wants to build a shop in his backyard. He knows the shop will be a rectangular shaped building. He wants the length of t

grigory [225]

Answer:

A = 6x² + 97x + 391

Step-by-step explanation:

Given that,

The length of the shop, l = (3x+23)

The width of the shop, b = (2x+17)

The expression for the area of the shop is given by :

A = lb

Put all the values,

A = (3x+23) × (2x+17)

= 6x² +51x+46x +391

= 6x² + 97x + 391

Hence, the expression for the area of the shop is equal to 6x² + 97x + 391.

5 0

2 years ago

Write the whole number twenty-seven thousand, five hundred in standard form

Hatshy [7]

Answer:27,500

Step-by-step explanation:

Hope this helps

5 0

2 years ago

Read 2 more answers

According to the general equation for conditional probability, if P(A, B) =4/7

Neko [114]

Answer:

$P(A|B) = \frac{32}{49}$

Step-by-step explanation:

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

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

In which

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

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

P(B) is the probability of B happening.

We have that:

$P(A \cap B) = \frac{4}{7}, P(B) = \frac{7}{8}$

$P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{\frac{4}{7}}{\frac{7}{8}} = \frac{4}{7}*\frac{8}{7} = \frac{32}{49}$

Then

$P(A|B) = \frac{32}{49}$

8 0

2 years ago

julio bisects angle PQR and labels a point on the bisector as S. He measures angle PQS with a protractor. The measure of angle P

Paha777 [63]

Answer:

The measure of angle PQR is 74 degrees

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Bisect an angle means divide the angle into two equal parts in

measures

- Ex: If angle ABC is bisected by a ray BD then:

- Angle ABC is divided into two equal parts in measure

m∠ABD = m∠CBD and

m∠ABC = m∠ABD + m∠CBD

- So we can say measure of angle ABC is twice measure of angle

ABD or twice measure of angle CBD

*<em> Lets solve the problem</em>

- Julio bisects angle PQR and labels a point on the bisector as S

∴ m∠PQS = m∠RQS

∴ m∠PQR = m∠PQS + m∠RQS

∴ m∠PQR = 2 m∠PQS ⇒ (or 2 m∠RQS)

- He measures angle PQS with a protractor and find its measure is

37 degrees

∵ m∠PQS = 37°

∴ m∠PQR = 2 × m∠PQS

∴ m∠PQR = 2 × 37 = 74°

∴ The measure of angle PQR is 74 degrees

8 0

3 years ago