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anzhelika [568]
3 years ago
6

What fraction is 4 hours of a day45 mins of an hour240cm3 of a litre​

Mathematics
1 answer:
lesya [120]3 years ago
8 0

4 hours of a day

1/6

45 mins of an hour

3/4

240cm3 of a litre​liter

240cm3=0.24l

6/25

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2 years ago
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Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon
Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

h(t)=-16t^2+40t+5

we know that

When the ball hits the ground, the height is equal to zero

so

-16t^2+40t+5=0

The formula to solve a quadratic equation of the form

at^{2} +bt+c=0

is equal to

t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^2+40t+5=0

so

a=-16\\b=40\\c=5

substitute in the formula

t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}

t=\frac{-40\pm\sqrt{1,920}} {-32}

t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec

t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec

therefore

The solution  is t=2.62 seconds

4 0
3 years ago
I went shopping for a pencil case with the entire script of shrek with an onion zipper, which costed 2.50$ each pencil case. I h
scZoUnD [109]

Answer:

40 pencil cases

Step-by-step explanation:

To find out how many $2.50 pencil cases you can buy with $100, you need to divide. Dividing the amount of money you have by the cost of the item will get you the amount of items you can buy. 100 divided by 2.50 is 40. So, you can get 40 cases.

4 0
3 years ago
If two triangles are congruent which of the following statements must be true
Sati [7]

The statement which must be true are Options B, C and D

which are the triangles have the same size and shape, the corresponding sides of the triangles are congruent and the corresponding angles of the triangles are congruent.

<h3>What are congruent triangles?</h3>

Congruent triangles are triangles that have corresponding sides, angles which are all equal in measure.

They can be rotated and turned to be look be identical.

Thus, the statement which must be true are Options B, C and D

which are the triangles have the same size and shape, the corresponding sides of the triangles are congruent and the corresponding angles of the triangles are congruent.

The complete question is

If two triangles are congruent which of the following statements must be true? CHECK ALL THAT APPLY

A. The triangles have the same size but not the same shape.

B. The triangles have the same size and shape

C. The corresponding sides of the triangles are congruent.

D. The corresponding angles of the triangles are congruent.

Learn more about congruent triangles here:

brainly.com/question/1675117

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4 0
1 year ago
Set up a linear system and solve.
liubo4ka [24]

Answer:

The two integers are 23 and 12

Step-by-step explanation:

Let the two integers be f and g

Let f be the biggest and g the smallest integer

From the first statement, the sum of the two integers is 35 i.e

f + g = 35. (1)

From second statement, we were told that when the smaller integer is subtracted from twice the larger, the result is 34 i.e

2f — g = 34. (2)

Now we'll solve by elimination method as follows:

Add equation (2) and (1) together:

2f — g = 34

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Divide both side by the coefficient of f i.e 3

f = 69/3

f = 23

Substituting the value of f into equation(1)

f + g = 35

23 + g = 35

Collect like terms

g = 35 — 23

g = 12

The two integers are 23 and 12

4 0
3 years ago
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