What is the volume of this prism?​

Answer:

11 ft

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is

A = L * W.  

Represent the length, L, by 2W + 1 ("1 more than twice the width").  Then the area formula (above) becomes:

A = 55 ft^2 = (2W + 1)(W), which, when simplified, results in:

2W^2 + W - 55 = 0, whose coefficients are {2, 1, -55}.  Let's use the quadratic formula to solve this for W:

The discriminant, b^2 - 4ac, is 1^2 - 4(2)(-55), or 441.  The square root of 441 is 21.  Thus, the quadratic formula gives us:

        -1 ± 21

W = ------------- = (1/4)(-1 + 21), or W = 5 and W = -22/4 = -11/2

            2(2)

A measure of length can't be negative, so we reject W = -11/2 in favor of W = 5.

Then, according to the formula for L that we found earlier, L  = 2W + 1, or

L = 2(5) + 1, or L = 11.

Check:  Does L * W result in an area of 55 ft²?  Yes

The length dimension of the rectangle is 11 ft

Answer:

it should be b i think

Step-by-step explanation:

Answer:

It was C

Step-by-step explanation:

I took the test

Answer:

B

Step-by-step explanation:

The answer is b because the number is supposed to be next to the first number

Answer:

[tex]12ab[/tex]

Step-by-step explanation:

3a × 2b = 6ab

6ab × 2 = 12ab

Therefor, the answer is 12ab.

3a × 2b × 2 = 12ab

The expression expects us to find the product . Therefore,

Let's do it step by step

3a × 2b = 6ab

Then,

6ab × 2 = 12ab

Therefore,

3a × 2b × 2 = 12ab

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Answer:

390

Step-by-step explanation:

500*.22=110

500-110=390

390

Answer:

i need help please with my maths

Step-by-step explanation:

T/2π = √L/32

3.7 / 2 π = 0.588873289

0.588873289² =  L / 32

0.34677175 = L/32

0.34677175 x 32 = L

L = 11.096696 ft

11.0971

Answer:

8

total degree inside pentagon is (n - 2) x 180 = 540

180-62 = 118

180-66 = 114

180-77 = 103

180-59 = 121

118+114+103+121 = 456

540 - 456 = 84

84 + 12x = 180

12x = 180-84

x = 96/12

x = 8

The value of x in the given pentagon is 8.

Option D is the correct answer.

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

For a pentagon, n = 5, so we have:

total degree = (5 - 2) × 180 degrees

total degree = 3 × 180 degrees

total degree = 540 degrees

Now,

Each angle makes a straight angle.

So,

77 + a = 180

a = 180 - 77 = 103

59 + b = 180

b = 180 - 59 = 121

c + 66 = 180

c = 180 - 66 = 114

d + 62 = 180

d = 180 - 62 = 118

Now,

a + b + c + d + e = 540

103 + 121 + 114 + 118 + e = 540

e = 540 - 456

e = 84

Now,

12x + 84 = 180

So,

12x = 180 - 84

12x = 96

x = 8

Thus,

The value of x is 8.

Learn more about the Pentagon here:

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Answer:

x = 4

Step-by-step explanation:

x + 6 +2x = 2x + 6 + 4

combine like terms:

3x + 6 = 2x + 6 + 4

add numbers:

3x + 6 = 2x + 10

subtract 6 on both sides:

3x + 6 - 6 = 2x + 10 - 6

3x = 2x + 4

subtract 2x from both sides:

3x - 2x = 2x - 2x + 4

x = 4

short explanation:

if you look at the equation, both sides have 6 and 2x which would cancel each other out. That would leave x = 4

Answer:

8

Step-by-step explanation:

6*4/3=8

Answer:

[tex] \frac{6(4)}{3} \\ = \frac{24}{3} \\ = 8[/tex]

Answer:

Ill help! If there is anything you need help with? lol

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

Blank 1:

We could see that the number line has been shaded from -2 to positive infinity. From this information we could conclude that the inequality for the number line would be (-2, + ∞).

Tip- If the circle is shaded then you use [ but if its not shaded then you use ( which is why we used the parenthesis for our answer.

Answer:

$1483.52

Step-by-step explanation:

P=principle

Fn=total at the end of a given year(=n) (subscript)

I= interest in decimal

F=P(1+I)

at end of first year F1=P(1+I)

at end of second year F=F1(1+I)= P(1+I)(1+I)= P(1+I)^2

or in general Fn=P(1+I)^n

Answer:

[tex]a(2ab - b - 1)[/tex]

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

[tex]gcf = a[/tex]

2) Factor out the GCF. ( write the GCF first. then, in parentheses, divide each term by the GCF).

[tex]a( \frac{ {2a}^{2}b }{a} + \frac{ - ab}{a} - \frac{a}{a} [/tex]

3) Simplify each term in parentheses.

[tex]a(2ab - b - 1)[/tex]

Answer:

Software comprises the entire set of programs, procedures, and routines associated with the operation of a computer system. The term was coined to differentiate these instructions from hardware—i.e., the physical components of a computer system.

Answer:

$2.92 would be the cost per pound

Answer:

Step-by-step explanation:

Circumference

C = 2*pi * r

pi = 3.14

r = d / 2

r = 8/2

r = 4 feet

C = 3.14 * 2 * 4

C = 18.84 feet.

Area

pi = 3.14

r = d/2

r = 8/2

r = 4

Area = 3.14 * 4^2

Area = 3.14 * 16

Area = 50.24 ft^2

Answer: X=147

Step-by-step explanation:

33+114= 147

two angles added together equals x

x=147

Answer:

35 cookie dough orders

Step-by-step explanation:

Juan and Rob are selling cookie dough for a school fundraiser. Juan has t cookie dough orders, and Rob has 40 cookie dough orders. They have a total of 75 cookie dough orders all together.

We have to calculate the number of cookie dough that Juan has.

The expression for the above question is given as:

t + 40 = 75

We collect like terms

t = 75 - 40

t = 35

Therefore, Juan has 35 cookie dough orders

Answer:

both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.

please mark as brainliest

Answer:

Answer: x-2 and x+5 side lengths should be used to model a rectangle.

Step-by-step explanation:

can u make me brainiest pls

Answer:

None of the 3 available answers models the given rectangle

I believe (x+5)(x-2) would be equal though.

Step-by-step explanation:

(x-5)(x+2) = x²+2x-5x-10

simplify:

x²-3x-10 ≠ x²+3x-10

(x)(x+3) = x²+3x

simplify:

x²-3x ≠ x²+3x-10

(x+3)(x-10) = x²-10x+3x-30

simplify:

x²-7x-30 ≠ x²+3x-10

Answer:

1x + 2y = 177 (price)

x + y= 114 (rentals)

Step-by-step explanation: x= movies y= video games

Answer:

56

Step-by-step explanation:

add and then multiply

Answer:

13

Step-by-step explanation:

10--3=

So is 13

But not sure

Answer:

SAS

Step-by-step explanation:

SAS Postulate: "If two sets of corresponding sides on two triangles and there included angle are congruent, then the triangles are similar".

We see that line segments XY-ST and XZ-SR are congruent along with the included angles X and S. Therefore, we can justify that SAS fits the situation.

If this helped you, please consider giving a good rating, a thanks, and brainliest! It is greatly appreciated if you choose to do so! Thanks!

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Answer:

angle A = Angle C: verticle angle

angle B = Angle D: verticle angle

angle E = Angle G: verticle angle

angle F = Angle H: verticle angle

angle B and A are supplementary

angle D and C are supplementary

angle E and F are supplementary

angle H and G are supplementary

Answer:angle A = Angle C: verticle angle

angle B = Angle D: verticle angle

angle E = Angle G: verticle angle

angle F = Angle H: verticle angle

angle B and A are supplementary

angle D and C are supplementary

angle E and F are supplementary

angle H and G are supplementary

also love ur pfp