Solve for the value of r.

Answer:

37 yd²

Step-by-step explanation:

The computation of the surface area of this triangular pyramid is shown below:

The surface area of this triangular pyramid  is

But before that

Lateral area = 3(1 ÷ 2) × base × height

= (3 ÷ 2)(4 yd)(5 yd)

= 30 yd²

Now

base area = 1 ÷ 2 × base × height

= 1 ÷ 2(4 yd)(3.5 yd)

= 7 yd²

Now the total surface area is  

surface area = lateral area + base area

= 30 yd² + 7 yd²

= 37 yd²

Answer:

g(x) = 8x

Step-by-step explanation:

cause of IXL

Answer:

Step-by-step explanation:

all the three sides of a triangle are equal.

length of perpendicular from center on the side=[tex]h=\sqrt{21^2-(\frac{21}{2})^2} =\frac{21}{2}\sqrt{3} \\area ~of~shape=6 \times \frac{1}{2} \times 21 \times \frac{21}{2}\sqrt{3} \\=\frac{1321}{2}\sqrt{3} ~sq. ~ft.[/tex]

Answer:

5 seconds

Step-by-step explanation:

Answer:

-5 and -6

Step-by-step explanation:

For trinomial factoring, you need two numbers that add up to get the -11x and two numbers that multiply to get 30.

-5 + (-6) = -11

-5 × -6 = 30

Answer:

11. 10x^2 - 13x - 3

12. 5x^2 + 18x + 5

Step-by-step explanation:

11. Product means multiplication, so you can multiply (5x + 1) and (2x - 3).

[tex](5x + 1) * (2x - 3)[/tex] - Using the FOIL (First+Outer+Inner+Last)

So: [tex](5x*2x) + (5x*-3) + (1*2x) + (1*-3)\\10x^{2} -15x + 2x -3\\10x^{2} -13x -3[/tex]

12. [tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)[/tex] (So, you distribute the 2 to x^2 + 5x + 30, then combine like terms).

[tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)\\3x^{2} + 8x - 1 + 2x^{2} +10x + 6\\(3x^{2} +2x^{2}) + (8x + 10x) + (-1+6)\\5x^{2} + 18x + 5[/tex]

Hopefully, this helped you. Good luck & have a good day!

Answer: A

Step-by-step explanation: The square root of 9 is 9.7 so it would be between 5 and 10

Answer:

A. W and X

Step-by-step explanation:

√95

9.74679434481

This number is close to 10.

5 and 15 are on the sides of 10.

X(10) is between W(5) and Y(15).

Answer:

Step-by-step explanation:

[tex] \frac{9}{3} = 3 \\ \\ \frac{36}{x} = 3 \\ x = \frac{36}{3} \\ x = 12[/tex]

I hope that is useful for you :)

Answer:

455.1111 feet²

Step-by-step explanation:

Given that :

Array of mosaic = 8 * 8 color square tiles

Length of each tile = 2 2/3 feets long

The length of mosaic = length per tile * Number of array :

2 2/3 feets * 8 = 21.3333 feets

This corresponds to the side length of the mosaic

The Area of the whole mosaic:

Using the area of square formula = s²

Where, s = side length

s = 21.33333 ft²

s² = 21.33333²

s² = 455.1111²

Answer:

481.04 cm²

Step-by-step explanation:

A silo shaped container is shaped like a cylinder

The formula to solve for the Surface Area of a Cylinder =2πrh+2πr²

Radius = 2.9 cm

Height = 23.5 cm

=2×π×2.9 × 23.5 + 2×π×2.9²

= 481.04067 cm²

Approximately = 481.04 cm²

The surface area of the container is 481.04 cm²

Answer:

the opposite of point E is 3

Answer:

x represents the number of shirts purchased

Step-by-step explanation:

Each time Nick buys a shirt, he has an outlay of $12.  One shirt for $12, two shirts for $24, and so on.  So the amount due for the purchase of x shirts is ($12/shirt)x, where x represents the number of shirts purchased.

Answer

Step-by-step explanation:

mulitiply the numbers

add the numbers

rearrange the numbers

Answer:

176

Step-by-step explanation:

Answer:

The expected value is $4.35

Step-by-step explanation:

Here, we want to find the expected value

To

do that, we simply will multiply each of the payouts by the individual probabilities, then add the results

Mathematically, we have this as;

0.35(1) + 0.2(2) + 0.1(5) + 8(0.2) + 10(0.15)

= 0.35 + 0.4 + 0.15 + 1.6 + 1.5 = $4.35

Answer:

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation

Step-by-step explanation:

the absolute deviation is 2.75

Answer:

( 0, - 2 )

Step-by-step explanation:

Mid point formula : -

( x1 + x2 ) / 2, ( y1 + y2 ) / 2

Here,

Let ( x1, y1 ) = ( - 4, - 2 )

Therefore,

x1 = - 4

y1 = - 2

Let ( x2, y2 ) = ( 4, -2 )

Therefore,

x2 = 4

y2 = - 2

Midpoint of AC

= ( - 4 + 4 ) / 2, ( - 2 - 2 ) / 2

= ( 0 / 2, - 4 / 2 )

= ( 0, - 2 )

The midpoint of AC is ( 0, - 2 ) when coordinates of A (-4,-2), B(0,4), and C(4,-2) is given.

What is the Midpoint of a Line?

The midpoint of a line is a point that is equidistant from the endpoints of the line and in the middle of the line. If the endpoints of the line are (x)1, (y)1, and (x)2, (y)2, then the formula for the midpoint of the line is {[(x)1 + (x)2]/2, [(y)1 + (y)2]/2}.

Mid point formula is  given as : -

( x1 + x2 ) / 2, ( y1 + y2 ) / 2

Here,

Let ( x1, y1 ) = ( - 4, - 2 )

x1 = - 4

y1 = - 2

Let ( x2, y2 ) = ( 4, -2 )

x2 = 4

y2 = - 2

now using Midpoint formula to find the coordinates of AC

= ( - 4 + 4 ) / 2, ( - 2 - 2 ) / 2

= ( 0 / 2, - 4 / 2 )

= ( 0, - 2 )

Therefore, the midpoint of AC is ( 0, - 2 )

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Answer:

An 18-month loan with a 4.75% annual simple interest rate

Step-by-step explanation:

I hope this helps u! :D

Answer:

18 months loan and with a 4.75% annual simple interest rate

Step-by-step explanation:

Answer:

A. Obtuse triangle

B,C,D. Acute

Step-by-step explanation:

Answer:

) ''You need to consider 200^o = 180^o + 20^o , hence you need to use the next formula to evaluate sin 200^o  in terms of k:

sin (alpha + beta) = sin alpha*cos beta + sin beta*cos alpha

Plugging alpha = 180^o , beta = 20^o  in the formula yields:

sin 200^o = sin (180^o + 20^o) = sin 180^o*cos20^o + sin 20^o*cos 180^o

Plugging sin 180^o = 0  and cos180^o = -1  in the formula yields:

sin 200^o = - sin 20^o = -k''

Step-by-step explanation:

''Given sin 20°=k express the following in terms of k a) sin 200° b) cos 20° c) tan(-20°) d) sin 70° Related to trigonometry.''     https://www.enotes.com/homework-help/given-sin-20-k-express-following-terms-k-sin-200-b-307263      hope this helps

Answer:

$2.02

Step-by-step explanation:

If Jessica paid $3.10 for fries and $4.88 for the sandwich, we need to add these two values together to find the total cost of her entire meal.

3.10 + 4.88 = 7.98

Since Jessica paid with a $10 bill then we need to subtract the total from the bill in order to find the change that Jessica will receive from her purchase.

$10 - $7.98 = $2.02

Now we can see that Jessica will receive a total of $2.02 in change after making her purchase.

Answer:

12g

Step-by-step explanation:

[tex]5g+7g=12g[/tex]

Answer:

12g

Step-by-step explanation:

5g+7g = 12g

have a great day

Answer:

B

Step-by-step explanation:

the mean changes a lot, the median doesn't change

Answer:

B

Step-by-step explanation:

the mean is 599.5 and the median is 410

Answer:

No image please add it on your next question.

3z + 2(z - 3) = 7z + 12

3z + 2(z - 3) = 7z + 12

3z + 2z - 6 = 7z + 12

3z + 2z - 7z = 12 + 6

5z - 7z = 18

-2z = 18

z = 18/2

z = 9

[tex] \\ [/tex]

Answered by - ItzAdmire

3z + 2(z - 3) = 7z + 12

3z + 2(z - 3) = 7z + 12

3z + 2z - 6 = 7z + 12

3z + 2z - 7z = 12 + 6

5z - 7z = 18

-2z = 18

z = 18/2

z = 9

[tex] \\ [/tex]

Answered by - ItzMaster

Answer:

[tex] 64y = 17 {x}^{3} [/tex]

Step-by-step explanation:

[tex]y \: \alpha \: {x}^{3} ....(given) \\ \therefore \: y = k {x}^{3} .. (1)\\ (k =arbitrary \:constant) \\when \: x = 4, \: \: y = 17, \:k =? \\ 17 = k {(4)}^{3} \\ 17 = 64k \\ k = \frac{17}{64} \\ plug \: k =\frac{17}{64} \: in \: equation \: (1) \\ y = \frac{17}{64} {x}^{3} \\ 64y = 17 {x}^{3} [/tex]

The correct equation connecting y and x is,

⇒ y = 17/64x

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

⇒ y is directly proportional to x³

Hence, We get;

⇒ y = kx³

Here, y  17 at x = 4;

Hence,

⇒ 17 = k × 4³

⇒ k = 17 / 64

Thus, The correct equation connecting y and x is,

⇒ y = 17/64x

Learn more about the mathematical expression visit:

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Answer: B

Step-by-step explanation:

Answer:

x=1. (1, 2)

x=2. (2, 5)

Step-by-step explanation:

i hope this helps :)

Answer:

the slope of the given line is m = rise / run = -1/2

Step-by-step explanation:

Going from (1, -1) to (3, -2), the 'rise' is actually a drop of 1 unit; the 'run' is +2.

Thus, the slope of the given line is m = rise / run = -1/2