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2 years ago

Triangle A B C. Side A B is 4, B C is 5, A C is 3. Triangle A prime B prime C prime.

Mathematics

1 answer:

madam [21]2 years ago

8 0

Answer:

The correct answer is 15.

Step-by-step explanation:

We are given that the original sides BC is 5. To find the length of B'C' we take the side of BC and multiply it by the scale factor.

5 (original BC) x 5 (the given scale factor) = 15

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A drama class has a total of 40 students. The number of males is 6 more than the number of females. How many males and how many

Lady_Fox [76]

Answer:

Females = 17 and males = 23

Step-by-step explanation:

Given that,

Total no of students in the class = 40

Let no. of females = x

No. of males = 6+x

ATQ,

Total students = males + females

40 = x+6+x

40-6 = 2x

34 = 2x

x = 17

Hence, there are 17 females and (6+17= 23) males.

7 0

3 years ago

Jalen is buying a new car. He has the options below.

EleoNora [17]

The total number of choices Jalen has is six

7 0

3 years ago

Read 3 more answers

The elevation of Sports Authority Field in Denver, Colorado is 5280ft. If this is 275ft higher than seven times the elevation of

kap26 [50]

Answer:

The elevation of Lucas Oil Field is of 715 feet.

Step-by-step explanation:

Elevation of Sports Authority Field:

Of 5280 ft.

Compared to Lucas Oil Field:

275ft than seven times the Lucas Oil Field elevation of x.

Equation:

$275 + 7x = 5280$

What is the elevation of Lucas Oil Field?

Solving the above equation:

$7x = 5280 - 275$

$7x = 5005$

$x = \frac{5005}{7}$

$x = 715$

The elevation of Lucas Oil Field is of 715 feet.

8 0

2 years ago

A toy car has a mass of 2 kg and a speed of 6 m/s. How much kinetic energy does it have?

lutik1710 [3]

Answer:

A.40 J

Step-by-step explanation:

K. E. Is 1/2 multiply by mass x velocity square

M is 5kg, v is 4m/s

1/2 x5x4x4 equals 40joules.

3 0

2 years ago

A simple random sample of size nequals40 is drawn from a population. The sample mean is found to be 103.9, and the sample stand

yan [13]

Answer:

There is enough evidence to support the claim that the population mean is greater than 100

Step-by-step explanation:

Step 1: We state the hypothesis and identify the claim

$H_0:\mu=100$ and $H_1:\mu \:>\:100$ (claim)

Step 2: Calculate the test value.

$t=\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$

$\implies t=\frac{103.9-100}{\frac{21.9}{\sqrt{40} } }=1.1263$

Step 3: Find the P-value. The p-value obtained from a calculator is using d.f=39 and test-value 1.126 is 0.134

Step 4: We fail to reject the null hypothesis since P-value is greater that the alpha level. (0.134>0.05).

Step 5: There is enough evidence to support the claim that the population mean is greater than 100.

Alternatively: We could also calculate the critical value to obtain +1.685 for $\alpha=0.05$ and d.f=39 and compare to the test-value:

The critical value (1.685>1.126) falls in the non-rejection region. See attachment.

NB: The t- distribution must be used because the population standard deviation is not known.

5 0

3 years ago