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Andrew [12]
3 years ago
9

Bro can someone please help me on these three questions I’ve been trying to get help on these questions for like the past 30 min

utes please help me

Mathematics
1 answer:
Inessa05 [86]3 years ago
5 0

Answer:

Step-by-step explanation:

1). By applying cosine rule in the given triangle,

   cos(x°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

   cos(x°) = \frac{6}{8}

   x = \text{cos}^{-1}(\frac{3}{4} )

   x = 41.41°

2). By applying cosine rule in the given triangle,

   cos(x°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

   cos(x°) = \frac{4}{5}

   x = \text{cos}^{-1}(0.8)

   x = 36.87°

3). By applying cosine rule in the given triangle,

   cos(x°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

   cos(x°) = \frac{51}{85}

   x = \text{cos}^{-1}(0.6)

   x = 53.13°

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Write an equation of the line that passes through the given point and is parallel to the given line.
Margaret [11]

Answer:

Part 40) y=-2x+9

Part 41) y=5x+6

Part 42) y=\frac{2}{3}x+\frac{4}{3}

Step-by-step explanation:

Remember that

If two lines are parallel, then their slopes are the same

Part 40) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (4,1)

Given line y=-2x+7

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

so

The slope of the given line is

m=-2

step 2

Find the y-intercept b

we have

m=-2

(4,1)

substitute in the linear equation

1=(-2)4+b

solve for b

b=1+8

b=9

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

m=-2

b=9

substitute

The equation of the line is

y=-2x+9

Part 41) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (0,6)

Given line y=5x-3

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

so

The slope of the given line is

m=5

step 2

Find the y-intercept b

b=6 ----> because the y-intercept is the point (0,6) (value of y when the value of x is equal to zero)

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

m=5

b=6

substitute in the linear equation

y=5x+6

Part 42) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (-5,-2)

Given line y=(2/3)x+1

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

so

The slope of the given line is

m=\frac{2}{3}

step 2

Find the y-intercept b

we have

m=\frac{2}{3}

(-5,-2)

substitute in the linear equation

-2=(\frac{2}{3})(-5)+b

solve for b

-2=-\frac{10}{3}+b

b=-2+\frac{10}{3}

b=\frac{4}{3}

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

m=\frac{2}{3}

b=\frac{4}{3}

substitute

The equation of the line is

y=\frac{2}{3}x+\frac{4}{3}

3 0
3 years ago
You jog 623 miles around a track each day. If you jogged that distance 4
givi [52]

Answer:

6 2/3 miles times 4

Step-by-step explanation:

Convert the fraction 2/3 to a decimal

2/3  = .67

6.67 miles times 4 = 26.68 miles

or 6x4= 24

2/3+2/3+2/3+2/3  =8/3 or 2 2/3

2 2/3 +24 =26 2/3 miles

Hope this helps, have a nice day/night! :D

3 0
3 years ago
Solve for x, and angle c
patriot [66]

9514 1404 393

Answer:

  x = 12.75

  ∠C = 51.75°

Step-by-step explanation:

The two marked angles are complementary, so ...

  (5x -12) +(3x) = 90

  8x = 102

  x = 102/8

  x = 12.75

__

C = (5x -12)° = (5(12.75) -12)°

  ∠C = 51.75°

__

<em>Check</em>

E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should

5 0
3 years ago
Arc Length and Radians question- please help! Will mark brainliest! Is 20pts!
Sav [38]

Answer:

Answer is option 2) pi/3

Step-by-step explanation:

ra dian =  \frac{theta \times \pi}{180}  \\ here \: theta = 60 \\ on \: substituting \: the \: values \:  \\ radian =  \frac{60 \times \pi}{180}  \\  from \: dividing \: the \: expression \: we \: get \\ =  \frac{\pi}{3}

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

4 0
3 years ago
The height of a ball dropped from a 160 foot building after 1 seconds is represented by h(t) = 160 - 1612
nadya68 [22]

Answer:

C. 16 feet.

Step-by-step explanation:

<u>How to find the maximum height of a projectile</u>

if α = 90°, then the formula simplifies to: hmax = h + V₀² / (2 * g) and the time of flight is the longest.  

if α = 45°, then the equation may be written as:  

if α = 0°, then vertical velocity is equal to 0 (Vy = 0), and that's the case of horizontal projectile motion.

7 0
3 years ago
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