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musickatia [10]
2 years ago
5

Calculate the value of 0. Write your equation.

Mathematics
2 answers:
Crazy boy [7]2 years ago
3 0

Answer:

θ = 67.4°

Step-by-step explanation:

using the <u>SOHCAHTOA </u>method,

Here opposite is 12 cm, hypotenuse is 13 cm, adjacent is 5 cm.

Using the formula:

sin(\beta ) =  \frac{oppsoite }{hypotenuse}

sin(\beta ) =  \frac{12}{13}

\beta  = sin^{-1}(\frac{12}{13}  )

β = 67.4°

sweet [91]2 years ago
3 0

Right angle triangle so apply trigonometric identies.

\\ \tt\hookrightarrow cos\theta=\dfrac{5}{13}

\\ \tt\hookrightarrow cos\theta=0.37

\\ \tt\hookrightarrow \theta=cos^{-1}(0.37)

\\ \tt\hookrightarrow \theta=68.3

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A line is perpendicular to y=2/3x+2/3 and intersects the point (-2,4). What is the equation of this perpendicular line?
alexira [117]

Answer:

y = - \frac{3}{2} x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{2}{3} x + \frac{2}{3} ← is in slope- intercept form

with slope m = \frac{2}{3}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{2}{3} } = - \frac{3}{2}

Using the point- slope form

with m = - \frac{3}{2} and (x₁, y₁ ) = (- 2, 4) , then

y - 4 = - \frac{3}{2} (x - (- 2) ) , that is

y - 4 = - \frac{3}{2} (x + 2) ← distribute

y - 4 = - \frac{3}{2} x - 3 ( add 4 to both sides )

y = - \frac{3}{2} x + 1 ← in slope- intercept form

5 0
3 years ago
Kelly works two jobs. She usually works at a retail store for 8 hours during the day and is paid $12.90 per hour by the store. I
quester [9]

Answer:

i believe its 12.55

Step-by-step explanation:

if you add both number,  12.90 and 12.20, then divide by 2.

you'll will gain the same result

6 0
3 years ago
Write an inequality to show the remaining distance, d, in feet must she climb to reach the peak.
spayn [35]
2,663 feet i believe
3 0
4 years ago
Read 2 more answers
A boy walks 5 ķm at vkm/hr. He then cycles 15 km at 2v km/hr. In terms of v, write down the time taken in hours
Talja [164]

Answer:

The time when walking is 5/v hours

The walking speed is 4 26/31 km/hr

Step-by-step explanation:

Mathematically;

time = distance/speed

So the time taken when walking will be;

5/v

The time taken when cycling will be:

15/2v

The term 2h 35 minutes is same as 2 35/60

= 2 7/12

If we add the whole times together, we get 2 7/12

Thus;

5/v + 15/2v = 2 7/12

5/v + 15/2v = 31/12

(10 + 15)/2v = 31/12

25/2v = 31/12

12 * 25 = 2v * 31

31v = 6 * 25

v = 150/31

= 4 26/31

8 0
3 years ago
Cherries cost $4.35 per pound and onions cost $0.98 per pound. Lacey has $21.45 to spend. How many pounds of cherries can Lacey
Sphinxa [80]
4.25lb is the answer
8 0
3 years ago
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