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3 years ago

Evaluate -1/5 ab

Mathematics

1 answer:

cupoosta [38]3 years ago

3 0

Answer:

-3/56

Step-by-step explanation:

-1/5 ab

Let a = 3/7 b = 5/8

-1/5 * 3/7 * 5/8

Rewriting

-1/7 * 3/8 * 5/5

Canceling like terms and multiplying

-3/56

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The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e

Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0

3 years ago

4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2

Anna007 [38]

Answer:

Given data:

4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2

Put the data in the ascending order:

1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 8

Mean, the average:

(1 + 2*5 + 3*4 + 4*4 + 5*2 + 6 + 8)/18 = 3.5

Median, average of middle two numbers:

Mode, the most repeated number:

2 (repeated 5 times)

Mean is normally the best measure of central tendency, same applies to this data.

6 0

3 years ago

Read 2 more answers

Solve the system 2x+4y=16 5x +3y=19 then find the value of y/x

AURORKA [14]

Answer:

I would change 2x+4y=24 into x=12–2y

To do that, divide both sides by 2 and then subtract 2y on each side.

After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.

Then solve.

3(12–2y)+2y=19

36–6y+2y=19

-4y+36=19

-4y=-17

y=4.25

Then, substitute y in either equation.

Either this:

3x+2y=19

3x+2(4.25)=19

3x+8.5=19

3x=10.5

x=3.5

Or:

2x+4y=24

2x+4(4.25)=24

2x+17=24

2x=7

x=3.5

Or you could solve it in the equation you created in the beginning:

x=12–2y

x=12–2(4.25)

x=12–8.5

x=3.5

The coordinates where the lines intercept are (3.5, 4.25).

Sorry for the long answer!

4 0

3 years ago

Jesse's dog Angel weighs 18 pounds. How many ounces does angel weigh?

eimsori [14]

Answer:

288 oz

Step-by-step explanation:

8 0

3 years ago

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What is quivalent to 5/8?

coldgirl [10]

Answer:

10/16 is also equivalent

7 0

2 years ago

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