What is the area of a circle that has a 5-inch diameter use 3.14 for pi?

NEED ANSWERS ASAP PLEASE

WITCHER [35]

Answer:

the first one is 4 and 5

Step-by-step explanation:

the second one is 45 because 15+15+15 is 45, you get 15 by the square root of 225

4 0

2 years ago

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Triangle ABC has vertices at A(−1 , 2), B(4, 2), and C(3, −1). Classify the triangle according to the side lengths.

Orlov [11]

Answer:

B) Isosceles

Step-by-step explanation:

The given triangle has vertices at A(-1,2), B(4,2) and C(3,-1).

We must first determine the length of the sides of the triangle, before we can classify it.

We apply the distance formula to find length of the sides.

$|AB|=\sqrt{(4--1)^2+(2-2)^2}$

$\Rightarrow |AB|=\sqrt{(4+1)^2+(2-2)^2}$

$\Rightarrow |AB|=\sqrt{5^2+(0)^2}$

$\Rightarrow |AB|=\sqrt{25}$

$\Rightarrow |AB|=5 units$ .

The length of side BC

$|BC|=\sqrt{(3-4)^2+(-1-2)^2}$

$\Rightarrow |BC|=\sqrt{(-1)^2+(-3)^2}$

$\Rightarrow |BC|=\sqrt{1+9}$

$\Rightarrow |BC|=\sqrt{10}$

The length of side AC

$|AC|=\sqrt{(3--1)^2+(-1-2)^2}$

We simplify to obtain;

$|AC|=\sqrt{(3+1)^2+(-3)^2}$

$\Rightarrow |AC|=\sqrt{(4)^2+(-3)^2}$

$|AC|=\sqrt{16+9}$

$|AC|=\sqrt{25}$

$|AC|=5\:units$

Since $|AC|=5\:units=|AB|$ , the given triangle is an isosceles triangle.

The correct answer is

6 0

3 years ago

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One side of a right triangle has a length of 24 centimeters. What could be the lengths of the other two sides of the right trian

Zanzabum

Answer:

A. 7 centimetres and 25 centimetres

Step-by-step explanation:

To see if the lengths make a triangle, use the Pythagorean theorem. Insert the biggest value as c (the hypotenuse, which is always the longest side in a right triangle). If both sides equal each other, it is a right triangle:

$a^2+b^2=c^2$

A.

$24^2+7^2=25^2\\\\576+49=625\\\\625=625$

This is a right triangle.

B.

$23^2+8^2=24^2\\\\529+64=576\\\\593\neq 576$

Not a right triangle.

C.

$9^2+22^2=24^2\\\\81+484=576\\\\565\neq 576$

Not a right triangle.

D.

$24^2+10^2=27^2\\\\576+100=729\\\\676\neq 729$

Not a right triangle.

Done :D

5 0

2 years ago

arthur is hired to road test a hybrid car for three months. he drives the car an average of 85 miles a day for 91 days. how many

Tema [17]

Multiply the numbers
85x91=7735

3 0

2 years ago

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Consider the sequence {3,6,9,12,15,…}. Find n if an = 735. Show all steps including the formulas used to calculate your answer.

vekshin1

Answer:

n = 245

Step-by-step explanation:

The given sequence is 3,6,9,12,15,…

nth term of the AP is 735

We know that, the nth term of an AP is given by :

$a_n=a+(n-1)d$

d is common difference, d = 6-3 = 3

Put all the values to find n.

$735=3+(n-1)3\\\\732=(n-1)3\\\\\dfrac{732}{3}=n-1\\\\n=244+1\\\\n=245$

So, there are 245 terms in the sequence.

5 0

3 years ago