(35 points) Fred played golf and for the past 5 times had a score of 72, 79, 73, 81, and 70. What was his average score? A. 75 B. 77 C. 85 D. 375

Answer:

  0.364 horsepower

Step-by-step explanation:

You want to know a pump's power output if it raises 2 tons of water 15 ft in 5 minutes.

The power is conveniently measured in horsepower. One horsepower is 33,000 ft·lb/minute.

Here, we have (2t · 2000 lb/t · 15 ft)/(5 min) = 12000 ft·lb/min

In terms of horsepower, that is ...

  (12000 ft·lb/min) / (33000 ft·lb/min/hp) = 4/11 hp ≈ 0.364 hp

The power output of the pump is about 0.364 horsepower.

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Additional comment

That's about 271 watts.

The distance dimensions are in feet, so we assume the tons are US short tons of 2000 lb each.

△ XYZ∼ △ DEF, YZ is 10 meters, ​ XZ ​ is 15 meters, and EF is 8 meters. What is ​ DF?

Solution:

As, △ XYZ∼ △ DEF , so the ratio of sides of triangle is equal.

So, we have, [tex] \frac{XY}{DE} =\frac{YZ}{EF} =\frac{XZ}{DF} [/tex]

Using, [tex] \frac{YZ}{EF} =\frac{XZ}{DF} [/tex]

So, we get,[tex] \frac{10}{8} =\frac{15}{DF} [/tex]

Now, to solve for DF, we must simplify

Simplifying,[tex] \frac{10}{8} =\frac{5*2}{4*2}=\frac{15}{DF) [/tex]

[tex] \frac{5}{4} =\frac{15}{DF} [/tex]

To simplify, Let us multiply by 4*DF on both sides

[tex] \frac{5*4DF}{4} =\frac{15*4DF}{DF} [/tex]

[tex] \frac{5DF}{1} =\frac{15*4}{1} [/tex]

So, 5 DF=15*4=60

To solve for DF, let us divide by 5 on both sides

[tex] \frac{5}{5} DF=\frac{60}{5} [/tex]

[tex] \frac{1}{1} DF=\frac{12}{1} [/tex]

So, DF=12meters

Answer:

A) Hyperbola.

Step-by-step explanation:

Given : Figure .

To find : Which term describes the red curve of the figure below.

Solution : We can see from the given figure two red curve  up and down .

Hyperbola : A hyperbola is two curves that are like infinite bows.

Therefore, A) Hyperbola.

Answer:

The Golf ball from the base of the flag stick is 13.5 ft

A is correct.

Step-by-step explanation:

Please see the attachment for figure.

Let AB is height of flag stick. AB=6 ft

BC is distance of golf ball from base of the flag stick.

In ΔABC, ∠B=90°

[tex]\dfrac{AB}{BC}=\tan 24^\circ[/tex]

[tex]\dfrac{6}{BC}=0.4452[/tex]

[tex]BC=13.5[/tex] ft

Hence, The Golf ball from the base of the flag stick is 13.5 ft

Answer: x = 3.06

Step-by-step explanation:

You do 30 divided by 9.8 and you get 3.06

The dilation's scale factor will be 1/4.

The division method is used to divide a bunch of items into equal portions.

Division is the inverse of multiplication. For instance, dividing 20 by 2 means dividing 20 into two equal groups of ten.

Given this,

The blue figure is a magnified version of the black one.

Furthermore, the origin is the center of dilatation.

Now,

Because the blue figure is a dilatation of the black one.

Furthermore, the origin is the center of dilatation.

In this case, the length of the black figure equals 16 units.

Furthermore, the length of the blue figure equals 4 units.

As a result, the dilation scale factor is 4/16.

= 1/4

0.673 rounded to the nearest hundredth as 0.67

The digit in the smallest location is unaffected if it is less than 5 in number. Rounding down is the process of reducing a number to zero after a certain number of digits. The digit in the smallest location is added with +1 if it is bigger than or equal to 5.

To round off 0.673 to the nearest hundredth means hundredth digit after decimal, To do so take a look on the thousandth digit after decimal, If it is greater than 5 or equal to 5 increase the hundredth digit after decimal by 1 otherwise no change,

Here, the thousandth digit is 3, 3<5. So, no increment is required.

It will remain as 0.67.

Thus, 0.673 is 0.67 after rounding off to the nearest hundredth.

Learn more about round off, here:

brainly.com/question/31754034

#SPJ6

Step-by-step explanation:

For USATestprep people.

Answer:

C. [tex]b^{n\cdot m}[/tex]

Step-by-step explanation:

We have been given an expression [tex](b^n)^m[/tex]. We are asked to find the equivalent expression to our given expression.

Using exponent property [tex](a^b)^c=a^{b\cdot c}[/tex], we can write our given expression as:

[tex](b^n)^m=b^{n\cdot m}[/tex]

Therefore, option C is the correct choice.

The new coordinates of Q are (-8, -3).

When reflecting a point across the X-axis, the X-coordinate remains unchanged, while the Y-coordinate changes its sign. From the figure attached, we find coordinates of Q are (-8,3). Therefore:

As a result, the coordinates of point Q after reflection along the X-axis will be (-8, -3).

Therefore, the new coordinates of point Q are (-8, -3).

Answer:

218.4

Step-by-step explanation:

Final answer:

The ratio of the cost of 6 pairs of canvas shoes to the cost of 3 pairs of leather shoes is D. 2/5.

Explanation:

To find the ratio of the cost of 6 pairs of canvas shoes to the cost of 3 pairs of leather shoes, we need to calculate the total cost of each option.

For 6 pairs of canvas shoes, the cost is $7 per pair, so the total cost is 6 x $7 = $42.

For 3 pairs of leather shoes, the cost is $35 per pair, so the total cost is 3 x $35 = $105.

Therefore, the ratio is $42 : $105, which simplifies to 2/5.

Answer: The distance from point R to point T is 1.5 miles.

Step-by-step explanation:

In the map, the scale is,

1 inches = 0.5 miles,

3 inches = 3 × 0.5 = 1.5 miles,

Thus, in the map 3 inches shows 1.5 miles,

Since, in the map, the distance from point R to point P = 3 inches,

Thus, the actual distance from point R to point P = 1.5 miles.

⇒ Option C is correct.