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grandymaker [24]
2 years ago
7

A rectangle is 2/5 inches long and 1/3 inches wide. What is the area of the rectangle?

Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
7 0

Step-by-step explanation:

2/5 x 1/3 = 2/15 inches squared

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Mia hired a moving company. The company charged
Mumz [18]
She tips the movers $80
7 0
3 years ago
A ball is tossed up in the air at an initial rate of 50 ft/sec from 5 ft off the ground.
Fofino [41]

Answer with Step-by-step explanation:

Since we have given that

Initial velocity = 50 ft/sec = v_0

Initial height of ball = 5 feet = h_0

a. What type of function models the height (ℎ, in feet) of the ball after tt seconds?

As we know the function for height h with respect to time 't'.

h(t)=-16t^2+v_0t+h_0\\\\h(t)=-16t^2+50t+5

b. Explain what is happening to the height of the ball as it travels over a period of time (in tt seconds).

What function models the height, ℎ (in feet), of the ball over a period of time (in tt seconds)?

if it travels over a period of time then time becomes continuous interval . so it will use integration over a period of time

Our function becomes,

h(t)=\int\limits^t_0 {-16t^2+50t+5} \, dt

3 0
3 years ago
(3x-4y)^2-(3x-4y)(3x+4y)
zheka24 [161]

Answer:

-24xy + 32y^2

Step-by-step explanation:

Hello!

We can use the special binomial product formulas:

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

<h3>Simplify</h3>
  • (3x - 4y)^2 - (3x - 4y)(3x + 4y)
  • (9x^2-24xy+16y^2) - (9x^2 - 16y^2)
  • 9x^2 - 9x^2 - 24xy + 16y^2 + 16y^2
  • -24xy + 32y^2

The simplified form is -24xy + 32y^2

6 0
2 years ago
A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 25
lozanna [386]

Answer:

The height of the building is of 244.95 feet.

Step-by-step explanation:

We use the Pythagorean Theorem to solve this question.

We have that:

The shadow of 50 feet is one side of the right triangle, while the height h is other side.

The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.

So

50^2 + h^2 = 250^2

h^2 = \sqrt{250^2 - 50^2}

h = 244.95

The height of the building is of 244.95 feet.

8 0
2 years ago
granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients.
azamat

Answer:

5 1/2

Step-by-step explanation:

The calories contained are from grams of carbohydrates and other ingredients

One gram of carbohydrate contains 4 calories

The equation 4c + 5 = 27 represents the relationship between these quantities.

1. 5 from the equation represent calories from other ingredients

2. Neither 8 nor 3 is the solution to the equation

4c + 5 = 27

When 8 is the solution

4(8)+5=27

32+5=27

37=27

When 3 is the solution

4(3)+5=27

12+5=27

17=27

Neither 8 nor 3 is the solution to the equation because 8 gives a higher calories in the granola bite and 3 gives a lower calories in the granola bite.

3. Solution to the equation

4c + 5 = 27

4c= 27-5

4c = 22

Divide both sides by 4

c=22/4

=5 2/4

=5 1/2

The solution to the equation is 5 1/2

7 0
3 years ago
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