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3 years ago

Find the area of the figure.

Mathematics

1 answer:

Katarina [22]3 years ago

6 0

A = 1/2(a+b)*h = 1/2(20+16)*10 = 18*10= 180 yd^2

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Suppose an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that

Deffense [45]

Answer:

The F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

Step-by-step explanation:

There are four treatments in the data given, i.e. k = 4.

Total number of observations, n = 12.

Note: degrees of freedom is denoted as df.

For treatment, the degrees of freedom = k-1 = 4-1 =3 df.

The total degrees of freedom = n-1 = 12-1 = 11 df.

The error in degrees of freedom = df (total) - df(treatment)

The error in degrees of freedom = 11 - 3 = 8 df

At α = 0.05 level,from the F table, the F-statistic with (3 , 8)df is 4.07.

Therefore, the F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

8 0

3 years ago

each year lizza school purchased agenda books, which are sold in the school this year the school purchased 350 books at a cost o

Inga [223]

Old price: 1,137.50 / 350 = 3.25
New price (at least): 1,500 / 350 = 4.3 (result is rounded)

7 0

2 years ago

You place the spring vertically with one end on the floor. You then drop a book of mass 1.50 kg onto it from a height of 0.900 m

Alex777 [14]

Answer:

The value of the maximum distance the spring will be compressed

x = 0.143 m= 14.3 cm

Step-by-step explanation:

Given data

Mass m = 1.5 kg

h = 0.9 m

k = 1500 $\frac{N}{m}$

Since the book is released from a height h = 0.9 m above the top of the spring. so the total distance

y = h + x

Now in that case for the spring

$mg y= \frac{1}{2} k x^{2}$

$mg(h +x) = \frac{1}{2} k x^{2}$

By rearranging the above equation we get

$k x^{2} - 2mgx - 2mg h = 0$

Put all the values in above equation we get

$1500x^{2} - 29.43 x - 26.48 = 0$

By solving the above equation we get

x = 0.143 m= 14.3 cm

This is the value of the maximum distance the spring will be compressed.

8 0

3 years ago

4. Solve the system using substitution.

Yuri [45]

Answer:

Step-by-step explanation:

-3+2=-1 and (9)- 8=1

3 0

2 years ago

Malcom and Ravi races each other. The average of their maximum speeds was 260 km/h. If doubled, Malcom's maximum speed would be

Kay [80]

Answer:

Malcom's maximum speed is 200 km/h

Ravi's maximum speed is 320 km/h

Step-by-step explanation:

First we have to make two equations one that represents the maximum average speed of the 2 together and another that represents the relationship between their maximum speeds

R = Ravi's maximum speed

M = Malcom's maximum speed

(R + M) /2 = 260 km/h

2M = R + 80 km/h

we are going to solve for M in the first equation

(R + M) /2 = 260 km/h

(R + M) = 260 * 2

M = 520 - R

we replace M with (520 - R) in the second equation

2M = R + 80 km/h

2(520 - R) = R + 80

1040 - 2R = R + 80

1040 - 80 = R + 2R

960 = 3R

960/3 = R

320 = R

replace R with its value in the first equation

M = 520 - R

M = 520 - 320

M = 200

Malcom's maximum speed is 200 km/h

Ravi's maximum speed is 320 km/h

8 0

3 years ago