Need help on #5,6,7!!!!!

(6 2/5 + 1 4/5) + 3 1/5

Pie

The answer (im pretty sure) is: 10 2/5

6 0

3 years ago

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The volume of the cylinder above is 2,314.25, and the radius of the base is 8.9 Find the volume of the cone.

olga55 [171]

Answer: $771.41\ units^3$

Step-by-step explanation:

The missing figure is attached.

The volume of an oblique cylinders and the volume of a right cylinder can be found with this formula:

$V_{cy}=\pi r^2h$

Where "r" is the radius and "h" is the height.

The volume of an oblique cone and the volume of a right cone can be found with this formula:

$V_{co}=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height.

According to the information given in the exercise, you know that the volume of the cylinder and also the radius of the cylinder and the cone ,are the following:

$V_{cy}=2,314.25\ units^3\\\\r=8.9\ units$

Therefore, in order to find the volume of the cone, you only need to multiply the volume of the cylinder by $\frac{1}{3}$ .

Then, you get:

$V_{co}=\frac{1}{3}(2,314.25\ units^3)\\\\V_{co}=771.41\ units^3$

8 0

3 years ago

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A construction company is planning to pour concrete for a driveway. The length of the driveway is 16 feet longer that its width

Inga [223]

L (length) = w+16
l x w = Area
260 = l x w
260 = (w+16) x w
260 = w^2 + 16w
w^2 + 16w -260 = 0
(w+26) (w-10) = 0

w= -26 (reject) or w = 10

if w = 10, l = 26
10ft x 16 ft

3 0

3 years ago

What is x2 – 6 = 16x + 30 rewritten in standard form, then factored?

AlexFokin [52]

Answer:

The standard form of quadratic equation is $x^2-16x-36=0$

The factored form of $x^2-16x-36=0$ is $(x+2)(x-18)=0$

Step-by-step explanation:

Given equation $x^2-6=16x+30$

We have to write in standard form and then factorize the given equation.

The standard form for a general quadratic equation is given as $ax^2+bx+c=0$

Consider $x^2-6=16x+30$

Taking all terms to left side, we have,

$x^2-6-16x-30=0$

Adding like terms, we have,

$x^2-16x-36=0$

Now we will factorize it.

We will solve the quadratic equation $x^2-16x-36=0$ using middle term splitting method,

-16x can be written as -18x+2x

$x^2-16x-36=0$ becomes

$\Rightarrow x^2-18x+2x-36=0$

Taking x common from first two terms and 2 common from last two terms we have,

$\Rightarrow x(x-18)+2(x-18)=0$

$\Rightarrow (x+2)(x-18)=0$

Thus, the factored form of $x^2-16x-36=0$ is $(x+2)(x-18)=0$

4 0

3 years ago

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Twelve runners are competing in a race. In how many different ways can the first,second,and third place trophies be awarded

zubka84 [21]

Since only one person can finish in first place, one in second, etc., the total number of placers is 12x11x10, or 1320 different ways the 12 racers can finish 1st, 2nd and 3rd....
☺☺☺☺

8 0

3 years ago

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