The base area of the prism is 120 square feet. Its height is 5 feet what is the volume of the prism.

Answers

Answer 1

Answer: oi,

Remember that V = Bh, so V = 120 * 5 = 600 ft³

I hope this helps!

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What percent 591 is of 2364?

Cathy volunteered to collect cans for a school project. cathy collected 125 cans in 5 days. there were 6 volunteers including cathy who each collected about the same number of cans. about how many cans did they collect ?

Answers

Everyone got 4 cans a day but one person got 5 cans everyday. How? 125/5, cans collect/number of day equals 25 cans a day if you divide by 6 you get 4.1 and they can't collect a fraction of a can so then you do 6*4=24 but you need 25 a day so one of the people got an extra can.

Answer: They collected 750 cans.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Number of cans collected by Cathy: 125
Number of volunteers (including Cathy) : 6

So, calculate the total number of can that all the volunteers collected we have to simply multiply the number of cans that Cathy collected (125 ,Since each volunteer collected about the same number of cans) by the number of volunteers (6 including Cathy).

125 x 6 = 750 cans.

Feel free to ask for more if needed or if you did not understand something.

Right angled triangle calculation. the opposite is 150mm and the only known angle is the right angle how can i calculate the other two sides and angle??

Answers

You can't. One side and one angle is never enough to define a unique triangle.

If the side opposite the right angle is 150mm, the other 2 sides could be . . .

-- 75 and 129.9
-- 100 and 111.8
-- 110 and 101.98
-- 120 and 90
-- 130 and 74.83
-- both 106.07

or any one of an infinite number of other possibilities.

You need to know one more side, or one more angle.

If 12 mod 13=X mod 5 find the value of X

Answers

Answer:

HI,

Step-by-step explanation:

12 mod 13=12

$x \equiv 12 [5]\n\nx \equiv 2 [5]\n\n\nx\in 5*\mathbb{N}+2=\{2,7,12,17,22,27,32,37....\}$

Find the value of n such that x^2-19x n is a perfect square trinomial.Answer choices:
A. -19/2
B. 361/4
C. 361
D. 361/2

Answers

Answer: The correct option is (b) $(361)/(4).$

Step-by-step explanation: We are given to select the correct value of 'n' such that $x^2-19x+n$ becomes a perfect square trinomial.

The standard form of a perfect square trinomial is

$(x+a)^2=x^2+2a+a^2.$

Now, we can write

$x^2-19x+n\n\n=x^2-2* x* (19)/(2)+(361)/(4)+n-(361)/(4)\n\n\n=(x-(19)/(2))^2+n-(361)/(4).$

So, for the given expression to be perfect trinomial,

$n-(361)/(4)=0\n\n\Rightarrow n=(361)/(4).$

Thus, (b) is the correct option.

B. 361/4
you get: x^2-19x+361/4=(x-19/2)^2

Find the discriminant and the number of real roots for this equation 9x^2+12x+4=0

Answers

The discriminant is 0. As the discriminant is 0 it will have equal roots.

And the real root is -2/3.

What is a Quadratic Equation?

In algebra, a quadratic equation is any equation that can be rearranged in a standard form where x represents an unknown, and a, b, and c represent known numbers, where a ≠ zero.

Conclusion: If a = zero, then the equation is linear, no longer quadratic, as there's no ax^2 term.

9 $x^(2)$ +12x+4=0

a = 9 ; b = 12; c = 4;

discriminant = Δ = $b^(2)$ - 4ac

Δ = $12^(2)$ - (4*9*4) = 144 - 144 = 0

roots of quadratic equations are [ (-b ± √Δ)/ 2a)]

let roots of eqation are x1 & x2

As discriminant is zero so, x1=x2

x1 = x2 = -b/2a = - 12/(2*9) = -2/3

learn more about quadratic equations here brainly.com/question/1214333

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Answer:

hello :

9x^2+12x+4=0

a = 9 b = 12 c = 4

the discriminant Δ = b² - 4ac = 12² - 4(9) (4 ) =144 - 144 = 0

x1 = x2 = - b/2a = -12/18 = - 2/3

the real root is : - 2/3

Each Friday, the school prints 400 copies of the school newsletter. The equation c = 400w models the relationship between the number of weeks and the total number of copies of the newsletters printed. What is true of the graph of this scenario

Answers

A viable point on the graph is ( 8, 3200 )

The values of w must be... Any WHOLE number.

C=400w can be written as y=400x. This is the equation of a line with slope 400 and y-intercept of 0.
The slope of positive 400 represents the number of copies printed each week. Since the slope is positive, the number of copies increases each week.

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