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pentagon [3]
3 years ago
15

HELPP MEEEEEE Find the slope of this graph.

Mathematics
2 answers:
RoseWind [281]3 years ago
7 0

Answer:

m = -3/2

Step-by-step explanation:

Given the following points on the graph, (0, 9) and (2, 6):

Let (x₁, y₁) = (0, 9)

     (x₂, y₂) = (2, 6)

Plug these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (6 - 9)/ (2 - 0)

m = -3/2

Therefore, the slope of the graph is -3/2. It has a <em>negative</em> value (hence, a negative slope) because the line is declining from the left side of the graph towards the right.

kati45 [8]3 years ago
4 0

Answer:

that this 6+6

Step-by-step explanation:

78+90 look than

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PLZ help i do know the answer to this already from another brainly question but i just would like to understand how its solved s
amm1812

Answer:

  • 66.56 cm

Step-by-step explanation:

<u>The figure consist of:</u>

  • 1. A rectangle with sides 10 cm and 17 cm
  • 2. A quarter circle

<u>The perimeter is:</u>

  • P = 1/4C + 2*10 + 17 + (17 - 8) + 8
  • P = 1/4*2*3.14*8 + 54 = 66.56 cm
4 0
2 years ago
What is all of the surface area and volume of this Castle? Find the surface area and volume of all the figures below, then out o
motikmotik

Answer:

Step-by-step explanation:

There are a few formulas that are useful for this:

  • lateral area of a pyramid or cone: LA = 1/2·Ph, where P is the perimeter and h is the slant height
  • lateral area of a cylinder: LA = π·dh, where d is the diameter and h is the height
  • area of a rectangle: A = lw, where l is the length and w is the width
  • volume of a cone or pyramid: V = 1/3·Bh, where B is the area of the base and h is the height
  • volume of a cylinder or prism: V = Bh, where B is the area of the base and h is the height

You will notice that for lateral area purposes, a pyramid or cone is equivalent to a prism or cylinder of height equal to half the slant height. And for volume purposes, the volume of a pyramid or cone is equal to the volume of a prism or cylinder with the same base area and 1/3 the height.

Since the measurements are given in cm, we will use cm for linear dimensions, cm^2 for area, and cm^3 for volume.

___

The heights of the cones at the top of the towers can be found from the Pythagorean theorem.

  (slant height)^2 = (height)^2 + (radius)^2

  height = √((slant height)^2 - (radius)^2) = √(10^2 -5^2) = √75 = 5√3

The heights of the pyramids can be found the same way.

  height = √(13^2 -2^2) = √165

___

<u>Area</u>

The total area of the castle will be ...

  total castle area = castle lateral area + castle base area

These pieces of the total area are made up of sums of their own:

  castle lateral area = cone lateral area + pyramid lateral area + cylinder lateral area + cutout prism lateral area

and ...

  castle base area = cylinder base area + cutout prism base area

So, the pieces of area we need to find are ...

  • cone lateral area (2 identical cones)
  • pyramid lateral area (2 identical pyramids)
  • cylinder lateral area (3 cylinders, of which 2 are the same)
  • cutout prism lateral area
  • cylinder base area (3 cylinders of which 2 are the same)
  • cutout prism base area

Here we go ...

Based on the above discussion, we can add 1/2 the slant height of the cone to the height of the cylinder and figure the lateral area of both at once:

  area of one cone and cylinder = π·10·(18 +10/2) = 230π

  area of cylinder with no cone = top area + lateral area = π·1^2 +π·2·16 = 33π

  area of one pyramid = 4·4·(13/2) = 52

The cutout prism outside face area is equivalent to the product of its base perimeter and its height, less the area of the rectangular cutouts at the top of the front and back, plus the area of the inside faces (both vertical and horizontal).

  outside face area = 2((23+4)·11 -3·(23-8)) = 2(297 -45) = 504

  inside face area = (3 +(23-8) +3)·4 = 84

So the lateral area of the castle is ...

  castle lateral area = 2(230π + 52) +33π + 504 + 84 = 493π +692

  ≈ 2240.805 . . . . cm^2

The castle base area is the area of the 23×4 rectangle plus the areas of the three cylinder bases:

  cylinder base area = 2(π·5^2) + π·1^2 = 51π

  prism base area = 23·4 = 92

  castle base area = 51π + 92 ≈ 252.221 . . . . cm^2

Total castle area = (2240.805 +252.221) cm^2 ≈ 2493.0 cm^2

___

<u>Volume</u>

The total castle volume will be ...

  total castle volume = castle cylinder volume + castle cone volume + castle pyramid volume + cutout prism volume

As we discussed above, we can combine the cone and cylinder volumes by using 1/3 the height of the cone.

  volume of one castle cylinder and cone = π(5^2)(18 + (5√3)/3)

  = 450π +125π/√3 ≈ 1640.442 . . . . cm^3

 volume of flat-top cylinder = π·1^2·16 = 16π ≈ 50.265 . . . . cm^3

The volume of one pyramid is ...

  (1/2)4^2·√165 = 8√165 ≈ 102.762 . . . . cm^3

The volume of the entire (non-cut-out) castle prism is the product of its base area and height:

  non-cutout prism volume = (23·4)·11 = 1012 . . . . cm^3

The volume of the cutout is similarly the product of its dimensions:

  cutout volume = (23 -8)·4·3 = 180 . . . . cm^3

so, the volume of the cutout prism is ...

  cutout prism volume = non-cutout prism volume - cutout volume

  = 1012 -180 = 832 . . . .  cm^3

Then the total castle volume is ...

  total castle volume = 2·(volume of one cylinder and cone) + (volume of flat-top cylinder) +2·(volume of one pyramid) +(cutout prism volume)

  = 2(1640.442) + 50.265 +2(102.762) +832 ≈ 4368.7 . . . . cm^3

4 0
3 years ago
I need help on this can some one explain it and answer please!!!!
Alex_Xolod [135]

Answer:

4(a). C= 3 + 1.5x

b. 'x' stands for the number of times the cup is refilled.

c. 3 + 1.5 (5)= $10.50

d. My answer to part (c) makes sense because the price of the cup is $3, and I have to pay $1.50 for each additional refill, in accordance to the formula I wrote.

Step-by-step explanation:

The original price of the cup is 3 dollars, but with each refill you get, you have to pay $1.50.

6 0
2 years ago
A farmer grows crops with an average height of 5 feet. He breeds his tallest plants, which are each 8 feet tall. They produce of
irinina [24]

Answer:

Qa: The heritability for tallness in these crops is 0.08, while Qb: Genes slightly influence the trait for height.

Step-by-step explanation:

Qa: The average height of regular crops grown by the farmer was 5 feet. The amazingly tall breeds have a 3feet increment than the usual crops. This progeny of the farmer's choice breeds has a 0.25 feet increment in height than what is expected in other normal breeds. Therefore, the heritability of the tall trait by these progeny was 0.25/3, which is 0.08333.....Approximately 0.08.

Qb: This low heritability index showed that the trait for tallness is slightly influenced by gene, because if otherwise, the index would have been a far way higher than this. However, we cannot conclude that it is the environment that determines the tall phenotype to be expected in the crops; this renders other options wrong.

7 0
3 years ago
Jose bought 9 movie tickets for a total of $54. Adult tickets cost $8 each and child tickets cost $3.50. How many adult tickets
MArishka [77]

Answer:

5

Step-by-step explanation:

5 x 8 = 40

3.50 x 4 = 14

4 0
3 years ago
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