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3 years ago

What is the sum of the 15th square number and the 4th cube number?

Mathematics

1 answer:

Leto [7]3 years ago

8 0

Answer:

289

Step-by-step explanation:

Simply find the fifteenth square number (225) and add it to the fourth cube number (64)

*You can find the cube by multiply 4 three times as we are looking at thr fourth cube number

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from a group of 7 people, you randomly select 2 of them. what is the probability that they are the 2 of the oldest people in the

spayn [35]

Answer:

1/21

Step-by-step explanation:

3 0

2 years ago

If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle?

Leni [432]

Answer:

1.6 units

Step-by-step explanation:

Coordinates of A : (-1,1)

Coordinates of B : (3,2)

Coordinates of C :( -1,-1)

Now to find the length of the sides of the triangle we will use distance formula :

$d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

To find length of AB

A = $(x_1,y_1)=(-1,1)$

B= $(x_2,y_2)=(3,2)$

Now substitute the values in the formula:

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

$d =\sqrt{(4)^2+(1)^2}$

$d =\sqrt{16+1}$

$d =\sqrt{17}$

$d =4.12$

Now to find length of BC

B= $(x_1,y_1)=(3,2)$

C = $(x_2,y_2)=(-1,-1)$

Now substitute the values in the formula:

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

$d =\sqrt{(-4)^2+(-3)^2}$

$d =\sqrt{16+9}$

$d =\sqrt{25}$

$d =5$

Now to find length of AC

A = $(x_1,y_1)=(-1,1)$

C = $(x_2,y_2)=(-1,-1)$

Now substitute the values in the formula:

$d =\sqrt{(-1-(-1))^2+(-1-1)^2}$

$d =\sqrt{(0)^2+(-2)^2}$

$d =\sqrt{4}$

$d =2$

Thus the sides of triangle are of length 4.12, 5 and 2

Now to find area of triangle we will use heron's formula :

To calculate the area of given triangle we will use the heron's formula :

$Area = \sqrt{s(s-a)(s-b)(s-c)}$

Where $s = \frac{a+b+c}{2}$

a,b,c are the side lengths of triangle

a = 4.12

b=5

c=2

Substitute the values

Now substitute the values :

$s = \frac{4.12+5+2}{2}$

$s =5.56$

$Area = \sqrt{5.56(5.56-4.12)(5.56-5)(5.56-2)}$

$Area = 3.99$

Now to find the height of altitude corresponding to side BC

So, formula of area of triangle $=\frac{1}{2} \times Base \times Height$

Since Area = 3.99 square units

So, $3.99 =\frac{1}{2} \times BC \times Height$

So, $3.99 =\frac{1}{2} \times 5\times Height$

$3.99 =2.5 \times Height$

$\frac{3.99}{2.5}=Height$

$1.596=Height$

Thus the altitude corresponding to the BC is of length 1.596 unit ≈ 1.6 units

Thus Option D is correct.

7 0

2 years ago

Read 2 more answers

Before tax, and miscellaneous charges, Jason's cell phone bill is $100 per month plus $0.15 for every text message that he sends

dexar [7]

0.15x + 100
x representing amount of text messages sent or received

5 0

2 years ago

Read 2 more answers

Mr. Jennings is shopping for a car loan. He wants to buy a car that costs $18,000. He plans to pay $5,000 in cash and get a loan

Ugo [173]

Answer:

$650

Step-by-step explanation:

Interest = amount of the loan x interest rate x time

Amount of the loan = price of the car - cash payment

$18,000 - $5,000 = $13,000

interest rate = 5%

time = 1 year

$13,000 x 0.05 x 1 = $650

3 0

2 years ago

Add the following fractions, and give your answer as a reduced improper fraction. 11/13+4/7

Sati [7]

Answer:

Step-by-step explanation:

Give the fractions a common denominator

11/13 + 4/7 = 77/91 + 52/91

= 129/91

8 0

2 years ago