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d1i1m1o1n [39]
3 years ago
11

pipefitter must connect two pipes as shown. The run is 35 feet while the set is 23 feet. How long a pipe will he need, C, and wh

at will be the connecting angles, "a" and "b"? Round to the nearest hundredth. Enter your answers in the order: C, a, b.

Mathematics
1 answer:
stira [4]3 years ago
5 0

The attached picture was omitted from the question.

Answer:

C = 41.88 feet

a = 33.1°

b = 56.9°

Step-by-step explanation:

From the diagram, we have a right angle triangle.

C = hypotenuse

C = sqrt(35^2 + 23^2)

C = sqrt(1225 + 529)

C = sqrt(1754)

C = 41.88 feet

The connecting Angles:

Angle 'a'

Using tan = opposite / Adjacent

Tan a = 23 / 35

tan a = 0.6571428

a = tan^-1 (0.6571428)

a = 33.1°

Angle 'b' :

Sum of angles in a triangle = 180

a + b + 90 = 180

33.1 + b + 90 = 180

b + 123.1 = 180

b = 180 - 123.1

b = 56.9°

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Answer:

Car B was 5 miles east of car A.

Step-by-step explanation:

It said this was the correct answer on appexx.

6 0
3 years ago
Increase £101 by 16% give ur answer rounded to 2 dp​
Dvinal [7]

Answer:

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Step-by-step explanation:

Multiply 101 by .16 and then you add it to 101.

8 0
3 years ago
Arc cd 1\4 of the circumstance of a circle. What is the radian measure of the central angle.
k0ka [10]
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3 0
3 years ago
Given that y= 7 cm and θ= 49 °, work out x rounded to 1 DP.<br><br> (not drawn to scale.)
Anastaziya [24]

The value of x in the diagram is 6.1 cm.

<h3>What is right-angle triangle?</h3>

A right-angle triangle is a triangle that has 90° as one of the angles in the triangle.

To calculate the value of x in the right-angled triangle above, we use the formula below

Formula:

  • tanθ = y/x............ Equation 1

Make x the subject of equation 2

  • x = y/tanθ............. Equation 2

From the question,

Given:

  • θ = 49°
  • y = 7 cm

Substitute these values into equation 2

  • x = 7/tan49°
  • x = 7/1.15
  • x = 6.1 cm

Hence, the value of x in the diagram is 6.1 cm.

Learn more about right-angled triangle here: brainly.com/question/64787

#SPJ1

8 0
2 years ago
What is the slope of the line that passes through the given points?<br><br> (-1, -5) and (-12, -5)
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First, find the slope (m) using the formula: \frac{y2 - y1}{x2 - x1}

m = \frac{-5 - (-5)}{-1 - (-12)} = \frac{0}{11} = 0

Next, input the slope and ONE of the points into the point-slope formula:

y - y₁ = m(x - x₁)   ; where (x₁, y₁) is the chosen point

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y + 5 = 0

y = -5

Answer: y = -5

8 0
3 years ago
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