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3 years ago

Which statement is true of the data?

Mathematics

1 answer:

Svetach [21]3 years ago

6 0

Answer:

Step-by-step explanation:

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What is the slope of a line perpendicular to the line whose equation is x-3y=-18

ICE Princess25 [194]

Answer: y = 3x + 2

Step-by-step explanation: Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

8 0

3 years ago

Calculate the total surface area of a pipe with inner surface area 1508.5 square cm, outer surface area 2514.2 square cm, and in

algol [13]

Answer:

The total surface area of the pipe is 4123.31 cm²

Step-by-step explanation:

Total surface area (TSA) of a pipe is calculated as;

Outer area of the pipe + Inner area of the pipe + cross section of the two ends

TSA = 2πRL + 2πrL + 2π(R² - r²)

TSA = 2π(RL + rL + R² - r²)

where;

R is the outer radius

r is the inner radius

L is length of the pipe

Determine the length of the pipe

Outer surface area of the pipe is calculated as;

outer surface of the pipe = 2πRL

2514.2 = 2πRL

2514.2 = (2π x 5) L

2514.2 = 31.42 L

L = 2514.2 / 31.42

L = 80.02 cm

Finally, determine the total surface area of the pipe

TSA = 2π(RL + rL + R² - r²)

TSA = 2π(5x80.02 + 3x80.02 + 5² - 3²)

TSA = 2π(400.1 + 240.06 + 16)

TSA = 2π(656.16)

TSA = 4123.31 cm²

Therefore, the total surface area of the pipe is 4123.31 cm²

8 0

4 years ago

A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 feet from a pili

Dimas [21]

Answer:

x = 225.16 feet

Step-by-step explanation:

Given that,

The angle between the piling and the pier is 60°.

A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.

We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :

$\tan(60)=\dfrac{x}{130}\\\\x=\tan(60)\times 130\\\\x=225.16\ feet$

So, the required distance is 225.16 feet.

4 0

3 years ago

What times -0.2 equals 0.3

Andrei [34K]

Answer:

-0.2*-1.5=0.3

Step-by-step explanation:

because it's supposed to be a negative number to bounce back to positive and the 1.5 because it can't be a whole number because it is a three

8 0

3 years ago

***<br> Write the rule for the value of the term of the geometric sequence:<br> -5, 10, 20, 40, ..

Gwar [14]

Answer: Well what I see Is 5 to 10 then 20 then 40 so we add to 30 then 40 and 50 so 5 10 20 40 70 110 160

Step-by-step explanation:

3 0

3 years ago