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Answer:

x = 12    x= -12

Step-by-step explanation:

x^2-144=0

This is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(x-12) (x+12) =0

Using the zero product property

x-12= 0  x+12 =0

x = 12    x= -12

Answer:

x = 12 or x = -12

Answer:

163°

...............

Answer:

163

Step-by-step explanation:

Answer:

Surface area of the red prism is 1344 m².

Step-by-step explanation:

Ratio of the sides of the rectangular prisms given in the picture

= [tex]\frac{\text{Length of the red prism}}{\text{Length of the blue prism}}[/tex]

= [tex]\frac{6}{3}[/tex]

= [tex]\frac{2}{1}[/tex]

Ratio of the surface area of both the solids = (Ratio of the sides)²

[tex]\frac{\text{Surface area of the red prism}}{\text{Surface area of the blue prism}}[/tex] = [tex](\frac{2}{1})^{2}[/tex]

[tex]\frac{x}{336}=\frac{4}{1}[/tex]

x = 4 × 336

x = 1344 square meter

Therefore, surface area of the red prism will be 1344 m².

[tex]\text{Plug in 3 to y and solve:}\\\\4(3)^3-20+9(3)^2+(25 \div5)\\\\4(27)-20+9(3)^2+(25 \div5)\\\\4(27)-20+9(9)+(25 \div5)\\\\4(27)-20+9(9)+5\\\\108-20+81+5\\\\88+86\\\\174\\\\\boxed{\text{A). 174}}[/tex]

Answer:

A) 174

Step-by-step explanation:

I'm assuming 4y3 is 4y³ and 9y2 is 9y²

4×3³-20+9×3²+(25÷5)=

4×3³-20+9×3²+5=

4×27-20+9×9+5=

108-20+81+5=

88+81+5=

169+5=

174

A) 174

Answer:

y=4x/5+5

Step-by-step explanation:

Points are (0,5)  and (-5,1)

(y-5)/(1-5)=x-0/[0-(-5)]

(y-5)/4=x/5

*5/5         *4/4

5(y-5)/20=4x/20

5y-25=4x

+25       +25

5y=4x+25

:5     :5

y=4/5*x+5

Answer:

[tex] {x}^{3} [/tex]

Step-by-step explanation:

[tex]volume \: \: \: of \: \: \: a \: \: cube \\ = whl \\ = x \times x \times x \\ = {x}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

C (6)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

X=5

Step-by-step explanation:

4/3-1/3=1

1  /   1/5x = 5

Answer: The sum of five times a number and seven is greater or equal to two

Step-by-step explanation:

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

5x is a multiplication, in this case five times the number x.

The symbol + represents a sum of two numbers.

≥ means greater or equal to ( left to right)

The sum of five times a number and seven is greater or equal to two

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

Let the angke be x

Its supplementary angle = 180 - x

Given:

x = 180 - x + 86

2x = 266

x = 133⁰

The one angle = 133⁰

The other angle = 180⁰ - 133⁰ = 47⁰

The measures of each angle are 86° and 94°.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Let ∠A and ∠B are the supplementary angles.

According to the question,

The Sum of the angle measure,

∠A + ∠B = 180°

∠A + 86° = 180°

∠A = 180° - 86°

∠A = 94°.

Therefore, 86° and 94° are the measure of each angle.

To learn more about the angle measure;

brainly.com/question/14684647

#SPJ2

Answer:

Endpoint A (10,2)

Step-by-step explanation:

                A(x,y)

Endpoint (-2,-2)

Midpoint (4,0)

(-2+x)/2=4,  -2+x=8,  x=8+2,x=10

(-2+y)/2=0, -2+y=0,y=2

so A (10,2)

Answer:

98 degrees

Step-by-step explanation:

Answer:

b) is correct 120π square units

Step-by-step explanation:

The sector that is not shaded froms a 300 degree angle. The area of that sector and its angle are proportional with the area of the entire circle and its angle, which is 360 degrees.

We start by computing the area of the circle. Since the radius is 12 units, then the area of the circle is 12² * π = 144π square units. Therefore, the area of the non shaded area is

144π * 300/360 = 120π square units

as option b) suggests.

Answer:

C. 120pi units^2

Step-by-step explanation:

Just took the Unit Test on Edg (2021)!!

Answer:

quadratic

Step-by-step explanation:

just took it on edge

Answer:

8.5m

Step-by-step explanation:

The ladder forms a right triangle with legs of 8 and 3, and the ladder is the hypotenuse. Using the Pythagorean Theorem, we get that the ladder is about 8.5 meters long. Hope this helps!

Answer:

≈8.544

Step-by-step explanation:

The Pythagorean theorem says that [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the ladder. Replacing the variables for numbers gives you [tex]3^2 + 8^2 = c^2.[/tex] Simplifying the right side gives you 9+64, or 73. Because [tex]c^2\\[/tex]=73, the answer is [tex]\sqrt{73}[/tex], or ≈8.544. Hope this helps!

Answer:

The missing dimension, radius = 6.00 m

Step-by-step explanation:

We are given the following things:

Height of cylinder, [tex]h[/tex]  = 15 m

Radius of cylinder, [tex]r = z[/tex] m (Labelled as [tex]z[/tex])

Volume of cylinder, [tex]V = 1696.5\ m^{3}[/tex]

Please refer to the image attached for the dimensions of cylinder as given.

We know that the volume of a cylinder can be given as:

[tex]V = \pi r^{2} h[/tex]

Where [tex]r[/tex] is the radius of cylinder

[tex]h[/tex] is the height of cylinder

Putting the values of [tex]V, r \text{ and } h[/tex]:

[tex]1696.5 = \pi z^{2} \times 15\\\Rightarrow z^{2} = 36.01\\\Rightarrow z = 6.00\ m[/tex]

Hence, The missing dimension, radius = 6.00 m

Answer:

Step-by-step explanation:

If x and y are proportional, it means that the ratio of x to y will always be constant value for each of the given ratios. Each ratio would be simplified by converting to decimals. Considering and converting each of the given ratios to decimal, it becomes

3.25/2.5 = 1.3

5.98/4.6 = 1.3

6.76/5.2 = 1.3

The constant value from the given ratios is always 1.3. Therefore, we can conclude that x and y are proportional.

Answer:

path =2m

Step-by-step explanation:

Answer:

I believe the answer should be 2m

Answer:

it will take her family 12 minutes

Step-by-step explanation:

i hope this helps

Answer:

B. 2/3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

y= 2/3 x

Answer:

Limit does not exist at x=3.

Step-by-step explanation:

Using the given graph, we need to check whether the limit exists or not.

From the given graph it is clear that

1. When x approaches to 3 from the left side then function approaches to -1.

2. When x approaches to 3 from the right side then function approaches to -3.

3. When x=3, the value of function is 7.

So, we conclude that

[tex]LHL=\lim\limits_{x\to 3^-}f(x)=-1[/tex]

[tex]RHL=\lim\limits_{x\to 3^+}f(x)=-3[/tex]

[tex]\lim\limits_{x\to 3}f(x)=7[/tex]

Since [tex]LHL\neq RHL[/tex], therefore the limit does not exist at x=3.

Answer:

2.B

Step-by-step explanation:

2.

Henry's container holds milk=200*7/8=175 ml

Answer:

8 x 12 = 96!

Step-by-step explanation:

It is the same as 8 x 12, which would have the answer of 96.

Answer:

4425.7

Step-by-step explanation:

Answer:

He will have  $4425.69 in 4 years

Step-by-step explanation:

Notice that the principal p = $4253

The interest (1%) in mathematical terms is given by: 0.01

the time t = 4 years

therefore the formula for these values becomes:

[tex]B=p(1+r)^t\\B=4253\,(1+0.01)^4\\B=4253\,(1.01)^4\\B=4425.68885[/tex]

Which rounded to the decimal place gives:

$4425.69

Answer:

1) 378.1 in²

2) 8.4 m²

Step-by-step explanation:

Area of sector= [tex] \frac{θ°}{360°} \times \pi {r}^{2} [/tex]

1) Area of sector

[tex] = \frac{150°}{360°} \times 3.14 \times {17}^{2} \\ = 378.1 \: in^{2} \\ (nearest \: tenth)[/tex]

2) Area of sector

[tex] \frac{60°}{360°} \times 3.14 \times {4}^{2} \\ = 8.4 \: m^{2} \\ (nearest \: tenth)[/tex]

Answer:

-39

Step-by-step explanation:

||u|| = sqrt(5² + (-12)²)

= sqrt(25 + 144)

= sqrt(169)

= 13

||cu|| = c ||u||

c = -3

c ||u|| = -3 × 13 = -39

Answer:

-39

Step-by-step explanation:

The magnitude of a vector is given by

|| u|| = sqrt( x^2 + y^2)

       = sqrt( 5^2 + (-12)^2)

       = sqrt(25+144)

      = sqrt(169)

     = 13

We are then multiplying by a scalar

||cu|| = -3*13 = -39

Answer:

He drove 70 mph.

Step-by-step explanation:

You would divide 280 by 4.

Answer:

42

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

From these statements, we can deduce algebraical expressions to solve the problem. Let's call [tex]q[/tex] quarters, [tex]n[/tex] nickels and [tex]d[/tex] dimes.

[tex]q=n+8[/tex] (8 more quarters than nickels)

[tex]d=4n[/tex] (he has four times as many dimes as he has nickels).

[tex]0.25q+0.05n+0.10d=5.50[/tex] (Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).

Let's replace the first two expressions into the third equation

[tex]0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5[/tex]

There are 5 nickels.

Now, we use this value to find the number of quarters

[tex]q=5+8=13[/tex]

There are 13 quarters.

Also, [tex]d=4(5)=20[/tex]

There are 20 dimes.

Therefore, there are 13 quarters, 5 nickels and 20 dimes.

Answer:

c & d

Step-by-step explanation: