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guapka [62]
2 years ago
6

Consider the trapezoid below.

Mathematics
1 answer:
Nuetrik [128]2 years ago
3 0

Answer:

57cm²

Step-by-step explanation:

area for trapezoid=

b¹+b²=x

x÷2=v

v×h=z

h=height

b=base

14+5=19

19÷2=9.5

9.5×6=57

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A baby bird jumps from a tree branch and flutters to the ground. The function "f" models the bird's height (in meters) above the
AURORKA [14]

The answer to this question will depend on the function f itself. Basically you will find the height in meters above the ground of the bird when it jumped when the time t=0s. This is substsitute every t in the function for a value of zero and that way you will get the bird's height at the time it jumped. If you were given a graph for this function, you can find the y-intercept of the graph and that will be the answer as well. The question could be written like this:

A baby bird jumps from a tree branch and flutters to the ground. The function "f(t)-4.9t^{2}+25" models the bird's height (in meters) above the ground as a function of time (in seconds) after jumping. What is bird's height above the ground when it jumped.

Answer:

25m

Step-by-step explanation:

Once your function is given, you can substitute t=0 since 0s is the time measured at the moment the bird jumped. So our function will be:

f(0)=-4.9(0)^2+25

f(0)=25m

So the height of the bird above the ground when it jumped is 25m in this particular function.

8 0
3 years ago
The fuel consumption rate of 10 vehicles is sampled. The rates, measured in miles per gallon, are 32, 24, 14, 34, 26, 27, 31, 16
blondinia [14]
The best estimate of the population mean is the sample mean

first calculate the sum of all samples:
32+24+14+34+26+27+31+16+18+26=248
then divide by the amount of samples to get the samples mean: 248/10=24.8 miles per gallon
8 0
3 years ago
Find the volume of the shaded figure by subtracting the smaller volume from the larger
alekssr [168]

Answer:

a. 9a^3 - 9ab^2

b. 9a(a^2 - b^2)

Step-by-step explanation:

a.

Volume = l*w*h

Volume_{smaller} = l*w*h

Where, l = 9a, w = b, h = b

Volume_{smaller} = 9a*b*b = 9ab^2

Volume_{larger} = l*w*h

Where, l = 9a, w = a, h = a

Volume_{smaller} = 9a*a*a = 9a^3

Volume of the shaded figure = 9a^3 - 9ab^2

b. 9a^3 - 9ab^2 expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

9a^3 - 9ab^2 = 9a(a^2 - b^2)

6 0
3 years ago
What is the result when 2a-5 is subtracted from 3a+3
sleet_krkn [62]

Answer:

-a - 8

Step-by-step explanation:

2a - 5 - (3a + 3)

2a - 5 - 3a - 3

-a - 8

I hope this helps!

5 0
2 years ago
Read 2 more answers
What is the value of x in a 45-45-90 triangle and the hypotenuse is 4?
Temka [501]

9514 1404 393

Answer:

  x = 2√2 ≈ 2.83

Step-by-step explanation:

The side length of an isosceles right triangle is 1/√2 times the hypotenuse length. If x is the side length, then ...

  x = 4/√2 = 4(√2)/2

  x = 2√2 ≈ 2.83

__

You have not specified the form of the answer. Sometimes an exact answer (2√2) is required. Sometimes the answer is required to be rounded to tenths or hundredths.

3 0
3 years ago
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