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3 years ago

Find the gcf and lcm of 10and15

Mathematics

1 answer:

Nataliya [291]3 years ago

5 0

GCM is 5 and LCM is 30

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A rectangular prism with a volume of 45 cubic centimeters and a height of 3 cm has a base with an area of

olga55 [171]

Answer:

Area: 15cm^2

Base: 5cm

Step-by-step explanation:

The volume of a Rectangular Prism is given as:

V= wlh

Where W = Base

L = Length

H= Height

From the question:

The Volume V = 45cm^3

The Height H = 3

But, Area = Length * Width

Therefore :

Volume V = Area * Height

45 = A * 3

A = 45/3

A= 15cm^2

Solving for Base:

Area = height * Base

15 = 3 * Base

Base = 15/3

Base = 5cm

3 0

3 years ago

Find the area of the triangles. Show all work and make sure to include the formula you used!

Ratling [72]

The formula for area of a triangle is A= bh/2

So 8•5/2 is 40/2= 20

Then 13•19/2 is 247/2= 123.5

8 0

3 years ago

Triangle ABC has vertices at A(–2, 3), B(–3, –6), and C(2, –1). Is triangle ABC a right triangle? If so, which angle is the righ

levacccp [35]

Answer:

Yes, the right angle is angle C.

Step-by-step explanation:

The given triangle has vertices at A(–2, 3), B(–3, –6), and C(2, –1).

Recall the slope formula;

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of the line going through AC is

$m_{AC}=\frac{-1-3}{2--2}=-1$

The slope of the line going through BC s

$m_{AC}=\frac{-1--6}{2--3}=1$

The product of the slopes of AC and BC is $-1\times1=-1$

This means line AC is perpendicular to BC at C.

Hence the triangle ABC is right angled at C.

6 0

3 years ago

Read 2 more answers

A probability distribution for a random variable Y is given by P(Y=y)=cy, for y=1,2,4,5 and c is a constant. Find E(Y), the expe

Dahasolnce [82]

Answer:

$c(1+2+4+5) =1$

$c =\frac{1}{12}$

Now we can find the expected value with this formula:

$E(Y) =\sum_{i=1}^n Y_i P(Y_i) =\sum_{i=1}^n cy_i *y_i = cy^2_i$

And replacing we got:

$E(Y) = \frac{1}{12} (1^2 + 2^2 + 4^2 +5^2) = \frac{46}{12}= \frac{23}{6}$

Step-by-step explanation:

For this case we know the following probability mass function given:

$P(y) = cy , y= 1,2,4,5$

For this case we need to satisfy the following condition in order to have a probability distribution function:

$\sum_{i=1}^n P(y_i) =1$

And we have this:

$c(1+2+4+5) =1$

$c =\frac{1}{12}$

Now we can find the expected value with this formula:

$E(Y) =\sum_{i=1}^n Y_i P(Y_i) =\sum_{i=1}^n cy_i *y_i = cy^2_i$

And replacing we got:

$E(Y) = \frac{1}{12} (1^2 + 2^2 + 4^2 +5^2) = \frac{46}{12}= \frac{23}{6}$

6 0

3 years ago

Examples of how to add mixed numbers

Zinaida [17]

You first change the denominater to common and then you add the whole numbers and then the fractions 1 1/2 + 1 1/4 =1 2/4 +1 1/4+= 2 3/4

6 0

4 years ago

Read 2 more answers