Write this equation in slope-intercept form. 5x - 6y = -6 *

Answer:

157.98  [tex]in^2[/tex]

Step-by-step explanation:

Given: volume of pyramid is equal to 100 cubic inches and height of the pyramid is 5 inches

To find: surface area of the pyramid

Solution:

Let h denotes the height of the pyramid and 'a' denotes side of the square base of the pyramid.

Volume of the pyramid = [tex]\frac{1}{3}a^2h[/tex]

Also,

Volume of the pyramid = 100 cubic inches

[tex]\frac{1}{3}a^2h=100\\\frac{1}{3}a^2(5)=100\\a^2=\frac{100\times 3}{5}=60\\a=\sqrt{60}[/tex]

Surface area of the pyramid  [tex](S) =a\sqrt{4h^2+a^2}+a^2[/tex]

So,

[tex]S=\sqrt{60}\sqrt{100+60}+60\\=\sqrt{60}\sqrt{160}+60\\=\sqrt{9600}+60\\=97.9796+60\\=157.9796\\\approx 157.98[/tex]

Surface area = 157.98  [tex]in^2[/tex]

Answer:

Surface area of the pyramid = 157.99 in²

Step-by-step explanation:

Volume of a pyramid is given by the formula,

Volume = [tex]\frac{1}{3}(\text{Area of the base})\times \text{height}[/tex]

100 = [tex]\frac{1}{3}\text{(Side)}^{2} \times \text{height}[/tex]

300 = s² × 5

s² = 60

s = √60

s = 2√15 in ≈ 7.746 in

Now surface area of the pyramid = Area of base + 4×(Area of one lateral side)

Area of square base = (Side)² = 60 in

Area of one lateral side = [tex]\frac{1}{2}(\text{Base})(\text{Lateral height})[/tex]

Since Lateral height = [tex]\sqrt{(h)^{2}+(\frac{S}{2})^{2}}[/tex] [By applying Pythagoras theorem in the given triangle]

                                  = [tex]\sqrt{(5)^{2}+(3.873)^{2}}[/tex]

                                  = [tex]\sqrt{25+15}[/tex]

                                  = [tex]\sqrt{40}[/tex]

                                  = 6.325 in.

Now area of lateral side = [tex]\frac{1}{2}(7.746)(6.325)[/tex]

                                        = 24.497 in²

Surface area of the pyramid = 60 + (4×24.497)

                                               = 60 + 97.987

                                               = 157.987 in²

                                               ≈ 157.99 in²

Answer:

answer B is the right answer.

Step-by-step explanation:

Function A has the form of y = x² , which is NOT linear but quadratic.

Function B has the form of y = 8/5x which is linear.

So answer B is the right answer .

The function which is linear is Function B which is f ( x ) = ( 8/5 )x

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Function B

x 5 10 15 20 25

y 8 16 24 32 40

So , for every increase of 5 in x, y increases by 8, which can be written as the equation y = (8/5)x.

f ( x ) = ( 8/5 )x

Hence , the linear function is f ( x ) = ( 8/5 )x

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Answer:

The perpendicular slope is -4/3

Step-by-step explanation:

Perpendicular slopes multiply to -1

m * 3/4 = -1

Multiply each side by 4/3

m * 3/4 *4/3 = -1 * 4/3

m = -4/3

The perpendicular slope is -4/3

Answer:

the perpendicular slope is -4/3

Step-by-step explanation:

Answer:

p+r+q=411

Step-by-step explanation:

7128=2p,3p,11r

7128=2p+3p=5p+11r

7128=5p÷5p+11r

7128=11r

7128÷11r

p+r+q=411

Answer:

–9xy2 – 6x2y + 5x3

–9xy2 – 6x2y – 5x3

9xy2 + 6x2y + 5x3

9xy2 – 6x2y + 5x3

the answer is 9xy2 – 6x2y + 5x3

Step-by-step explanation:

Answer:

Scale Factor- 4/15

Missing length- 9.6

Step-by-step explanation: Got it right on Edge.

The missing length of the rectangle B is 9.6 feet and the proportion is 3.75

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the area of the rectangle 1 be represented as A = 24 x 36

where the width = 24 feet and length = 36 feet

Now , the area of the second rectangle 2 = 6.4 x y

The width = 6.4 feet

So , the scale factor is given by the proportion equation ,

k = 24 / 6.4 = 3.75

So , the scale factor k = 3.75

Now , the length of the second rectangle = 36 / 3.75 = 9.6 feet

Hence , the proportion is k = 3.75

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Answer:

wgtvwthrr

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

combine like terms

-8+8x=-8

add 8 to both sides

8x=0

x=0

The solution is 0

Answer:

x = 0

Step-by-step explanation:

When we combine like terms on the left side we get -8 + 8x = -8. Adding 8 to both sides to get rid of the -8 we get 8x = 0, and dividing the whole equation by 8 to get rid of the coefficient of x we get x = 0.

Answer:

A=190 CM 2

Step-by-step explanation:

A=1/2[a+b]h

A=1/2[12 + 26] 12

A=190 CM2

Answer:

[tex]190 {cm}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2} \times (a + b) \times h \\ \frac{1}{2} \times (12 + 26) \times 10 \\ \frac{1}{2} \times 38 \times 10 \\ \frac{380}{2} \\ = 190 {cm}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

8x^3 + 16x^2 - 4x^2 - 8x -8x - 16

8x^3 + 12x^2 - 16x - 16

answer is c

Answer:

f9g9

Step-by-step explanation:

they are both powered individually

Answer:

10%

Step-by-step explanation:

if you times the 5 people to get it to the 25 that means that you also have to times the 2 by 5 which = 10!

hope this helped Willow!

Answer:

15%

Step-by-step explanation:

Answer:

6√2 i.

Step-by-step explanation:

√-72

= √72 i

= √36 * √2 i

= 6√2 i.

Answer:

x= About 5.2

y= About 14.7

Explanation:

X: tan60=9/x  ; x=9/tan60 = About 5.2

Y: sin60=9/z  ; z=9/sin60 ; z=10.4 ; sin45=10.4y ; y=10.4/sin45= About 14.7

I put z as the line opposite to 45 degrees. You need to add this value in order to solve for y.

Answer:

He can fit 53 boxes in the moving truck.

Step-by-step explanation:

Dimensions of the container of truck = 15 feet × 7.5 feet × 7.5 feet

The volume of the container of moving truck = Length × width × height

= 15 × 7.5 × 7.5

= 843.75 feet³

Sides of each small square box = 2.50 feet

Volume of the one box = 2.5 × 2.5 × 2.5

                               = 15.63 feet ³

Maximum number of cube shaped boxes he can fit in the moving truck

= [tex]\frac{843.75}{15.63}[/tex]

= 53.98

He can fit 53 boxes in the moving truck.

Answer:

it's not a or b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Kevin is three years older than Daniel

k         =                                        d+3

Kevin two years ago was 4 times older than Daniel was two years ago

k-2=4(d-2)

Answer:

Option D is the correct answer

Step-by-step explanation:

[tex](3 {m}^{ - 4} )^{3} (3 {m}^{5} ) \\ \\ = {3}^{3} {m}^{ - 4 \times 3} \times 3 {m}^{5} \\ \\ = 27 \times 3 \times {m}^{ - 12 + 5} \\ \\ = 81 {m}^{ - 7} \\ \\ = \frac{81}{ {m}^{7} } [/tex]

Answer:

the correct answer is D

Step-by-step explanation:

distribute the exponent on the left to get the expression ((3^3)(m^-12))(3(m^5))

bring the negative exponent to the denominator to get (3^4)(m^5)/(m^12)

subtract the exponents of m to get an answer of 81/(m^7)

Answer:

24

Step-by-step explanation:

Answer:

$24

Step-by-step explanation:

sum of the ratios =5

therefore, amt .received by joy

=2/5×60

=$24

hope it helps

Answer:

a) 2(x+4)

b) 3(x-4)

c) 2(3x+2)

d) 9(2x-1)

Step-by-step explanation:

a) 2x+8=2(x+(8/2))=2(x+4)

b) 3x-12=3(x-(12/3))=3(x-4)

c) 6x+4=2((6/2)x+(4/2))=2(3x+2)

d) 18x-9=9((18/9)x-(9/9))=9(2x-1)

Answer:

a) 2(x + 4)

b) 3(x -4)

c) 2(3x + 2)

d) 9(2x - 1)

Step-by-step explanation:

a) Factor: 2x+8

   2x + 8

= 2(x + 4)

b) Factor 3x−12

   3x − 12

= 3(x − 4)

c) Factor 6x+4

   6x + 4

= 2(3x + 2)

d) Factor 18x−9

   18x − 9

= 9(2x − 1)

Answer:

15cm

Step-by-step explanation:

Theorem: All tangents to a circle from the same point are equal.

Sine E, F, G and H are points of Tangency, by the theorem above:

The diameter line EC divides the Isosceles Trapezoid into two equal parts.

Therefore:

We then have by the equality above that:

BC=BF+FC

=5+10

=15cm

Answer:

the answer of the question is a nappe

Answer:

The correct answer is nappe

Step-by-step explanation:

Answer:

Distance remaining = 3.1 miles

Step-by-step explanation:

Distance between A(3, 2) and B(8.2, 2) can be calculated by the formula,

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

AB = [tex]\sqrt{(8.2-3)^2+(2-2)^2}[/tex]

     = 5.2 mi

Since you have hiked for "90 minutes or 1.5 hours" at the rate of 1.4 mph,

From the formula,

Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

1.4 = [tex]\frac{\text{Distance}}{1.5}[/tex]

Distance traveled = 1.4 × 1.5

                             = 2.1 miles

Distance remaining to travel = 5.2 - 2.1

                                               = 3.1 miles

Therefore, distance remaining to travel = 3.1 miles

Answer:

45 degrees

Step-by-step explanation:

Think of this web as a circle. This circle is divided into 8 equal pieces.

A circle has 360 degrees in it. If we divide 360 by 8, we get 45. This means that each wedge is 45 degrees, which means that in order to rotate the image to look the same, we must rotate it by 45 degrees.

Answer:

45 degrees

Step-by-step explanation:

Answer:

44.4%

Step-by-step explanation:

The probability in this case would be the specific number of pairs of means that we are asked to calculate, that is, blue divided by the total number of pairs, which would be the sum of the different colors, then:

We have that blue there are 4 pairs, and in total it would be 2 + 4 + 3 = 9, that is to say 9 pairs of means.

therefore the probability is:

4/9 = 0.444

Which means that there is a 44.4% chance of drawing a blue pair.

Answer:

1449/2691

Step-by-step explanation:

We must start from the fraction that is 7/13. Now, we know that it was simplified, with trial and error we can reach the result.

First, let's multiply both by 200:

7 * 200 = 1400

13 * 200 = 2600

1400 + 2600 = 4000

It means that we are missing 140, to reach the objective, that is, we are close, let's try 205 now:

7 * 205 = 1435

13 * 205 = 2665

1435 + 2665 = 4100

We get even closer, only 40 missing, let's try 207 below:

7 * 205 = 1449

13 * 205 = 2691

1449 + 2691 = 4140

We managed to get to the corresponding numbers, therefore the original fraction was 1449/2691

Answer:

Step-by-step explanation:

Slope is the rise (y) over the run (x) between 2 points on a graph. This means that from one point go up (or down) first, then count over from that first point right (or left). A positive number on top indicates "up" and a negative number on top indicates "down"; a positive number on bottom indicates "right" while a negative number on bottom indicates "left". Keep in mind the following:

[tex]\frac{-y}{x} =\frac{y}{-x} =-\frac{y}{x}[/tex]

It doesn't matter where you "put" the negative, your slope will come out correct as long as you are moving from one point to the other correctly.

Our given slope is 4/5. They are both positive, so that means from the red point on the left ("read" a graph from left to right, just like you're reading this) we will go up 4 units. From where we "land" we will go right 5 units. As you can see, the only graph that lands on the red dot on the right when we follow that slope is the second one.

The mean of the following dot plot:

Mean: 3

Step-by-step explanation:

0 x 1 = 0

3 x 1 = 3

6 x 1 = 6

(we only add the numbers that only has a dot on the number in the dot plot)

So:

Mean: 0 + 3 + 6 = 9/3 = 3

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this was my previous answer from your other question

Answer:

-2a +8

Step-by-step explanation:

2a-4(a-2)​

Distribute

2a -4a +8

Combine like terms

-2a +8

Answer:

-2a +8

Step-by-step explanation:

2a - 4(a-2)

=2a -4a + 8

= -2a +8

Hope this helps you.

Good Luck!