Which solid figure has six vertices?

Answer: The explanation of the given addition is mentioned below.  

Step-by-step explanation:

Since Here we have numbers 324 and 231.

So if we want to add these two numbers then at first we should add 4 and 1, That is 4+1= 5, which is the once place digit of our answer.

Now we should add 2 and 3 , that is , 2+3 =5 which is the tense place digit of our answer.

Finally we should add 3 and 2 the result is 3+2= 5 , which is the hundreds place digit of our answer.

Thus the complete result is 555.

Answer:

Option a is correct.

Value of q is, 13

Step-by-step explanation:

Given the equation:

Solve for q;

Like terms defined as those terms which have same variables, and powers.

Combine like terms in the given equation we get;

Division property of equality states that you divide the same number to both sides of an equation.

Divide by 5 both sides we get;

Simplify:

q = 13

Therefore, the value of q is, 13

The length of the rectangular prism obtained by finding the quotient of the volume divided by the product of height and width. Hence, the length of the box is x + 4

The volume of a rectangular prism is given calculated using the formula :

Volume = Length × width × height

• Width = x - 1
• Height = x + 8
• Volume = x³ + 11x² + 20x – 32.

From the formula :

Length =

Width × height = (x - 1)(x + 8)

(x - 1)(x + 8) = x² + 8x - x - 8

= x² + 7x - 8

• Divisor = x² + 7x - 8
• Dividend=x³ + 11x² + 20x – 32

Using long divison :

______ | x + 4

______ | _______________

x²+7x-8 | x³ + 11x² + 20x – 32

______ | x³ + 7x² - 8x

-______| ___ 4x²+28x

___________4x²+28x - 32

-___________0__0 ___0

Therefore, the quotient, which is the value of the length of the rectangular prism ls x+ 4

Learn more :brainly.com/question/2747626?referrer=searchResults

we know that

the volume of a rectangular prism is equal to

where

L is the length of the box

W is the width of the box

H is is the height of the box

in this problem we have

Find the length of the box

Using a graph tool-------> we will determine the roots of the equation of volume

see the attached figure

the roots are

so

therefore

the answer is

the length of the box is equal to

Answer: a. 12.66 cm

Step-by-step explanation:

Given value: 12.655 cm

Here in the given value there area five significant figures.

If we need to round the value to four significant figures then we need to round the given value to the nearest hundredth.

Since, the last digit (hundredth and thousandth place) is 55 which is nearest to 60.

Then the the required answer after round off to the  nearest hundredth will be :-

Answer:

240 grams of fat.

Step-by-step explanation:

let

c = grams of carbohydrates

p =grams of proteins

f = grams of fat.

Then from the information given:

And since 60% of the calories should come from carbohydrates and fats (which is 2280 calories)

And

Thus we have three equations:

(1).

(2).

(3).

We put equation (2) into equation (1) and solve for :

Now we put this value of into equation (3) and get:

Now from this equation we solve for c and get:

And put this value of into equation (2) and solve for:

Thus the diet will include 240 grams of fat.

Answer: It's actually 210 g

(Excuse my answer, I made a math error)