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Rudik [331]
3 years ago
9

Help me with theseee 2!! I will mark brainliestttt 9-10

Mathematics
1 answer:
Anastasy [175]3 years ago
3 0
9. 27

4x is less than or equal to 108

108/4 = 27

10. -4

Opposite of 3 is -3

12/-3 = -4
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Coordinates (-3, 5), ( -3, 8), and (2, 5). The triangles was dilated by a scale favtor of 3. What is the area of the dilated tri
Otrada [13]

Answer:

The area of the triangle is 7.5 unit²

Step-by-step explanation:

Here we have the coordinates given as

(-3, 5) (-3, 8) and (2, 5)

Let us call the points A = (-3, 5)

B = (-3, 8) and

C = (2, 5)

Therefore the lengths of the sides of the triangle are

AB = a =  \sqrt{(-3-(-3))^2+(5-8)^2} =  3

AC = b = \sqrt{(-3-2)^2+(5-5)^2} =  5

BC = c = \sqrt{(-3-2)^2+(8-5)^2} =  \sqrt{34}

Therefore the Area can be derived from Heron's formula which is

A =  \sqrt{s\times (s-a)\times (s-b)\times (s-c)} where s = semi perimeter or (a + b + c)/2

Therefore, plugging the values, we get

s =   (3 + 5 + √34)/2 = 6.9155≈6.92

A =  \sqrt{6.92\times (6.92-3)\times (6.92-5)\times (6.92-\sqrt{34} )} = 7.499≈7.5.

7 0
3 years ago
Read 2 more answers
A foam cylinder, with a diameter of 3 inches in height of 8 inches, is carved into the shape of a cone. What is the maximum volu
Delvig [45]

Answer:

volume of cone = 1/3 volume of cylinder

according to the question, volume of cylinder =

V =

\pi \times (r) {}^{2} h

diameter = 3 inches

radius = 3/2 inches

height = 8 inches

V = 22.7 * (3/2)²* 8

V = 22.7 * 9/4 * 8

V = 22.7 * 18

maximum volume a cone can have = 1/3 of cylinder

Volume of cone = 1/3 * 22.7 * 18

= 22.7 * 6

= 132.6

3 0
2 years ago
If Joanne can swim 4 km in 45 min, what is her rate of change?
8090 [49]

Answer:

45:4 or 4:45

Step-by-step explanation:

Depends on which

4 0
2 years ago
Use distributive property to write the factored form of 2x(x+3)+5(x+3)
raketka [301]
<h3>Answer:  (2x+5)(x+3)</h3>

Explanation:

We have the common factor (x+3) show up for each of the two terms. The first term is 2x(x+3) while the second term is 5(x+3).

For each of the two terms, erase the common factor (x+3) and you'll be left with 2x+5, which is one of the factors in the final answer. The second factor is the common factor (x+3). Together they combine to get us (2x+5)(x+3)

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3 years ago
Seven pounds of grapes cost $10.43. How much would 4 pounds cost?​
Lady_Fox [76]

Answer:

5.96

Step-by-step explanation:

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