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yan [13]
2 years ago
14

If cos x = sin(20 + x) and 0° < x < 90°, the value of xis

Mathematics
1 answer:
natka813 [3]2 years ago
5 0

Answer:

x= 35

Step-by-step explanation:

Cos x = Sin( 20+x)

 Sin ( 90 – x) = Sin(20+x)

 90 – x = 20+x  

 2x = 70  

 x = 35  

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gladu [14]
Hope this helps 6/-10
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3 years ago
What is the equation of the line in slope-intercept form?
kolbaska11 [484]

Answer:

The equation of the line in the slope-intercept form will be:

  • y = -7x

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where  

  • m is the slope
  • b is the y-intercept

From the attached graph, taking two points

  • (0, 0)
  • (-10, 70)

Finding the slope between (0, 0) and (-10, 70)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(-10,\:70\right)

m=\frac{70-0}{-10-0}

m=-7

Determining the y-intercept:

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear that:

at x = 0, y = 0

Thus, the y-intercept b = 0

Now, substituting m = -7 and b = 0 in the slope-intercept form

y = mx+b

y = -7x + 0

y = -7x

Therefore, the the equation of the line in slope-intercept form will be:

  • y = -7x
7 0
3 years ago
Explore the properties of angles and arcs
marshall27 [118]

Answer:

80-24=56

28 multiplied by 2=56

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
More than three-quarters of the nation’s colleges and universities now offer online classes, and about 23% of college graduates
RUDIKE [14]

Answer:

0.1997 or 19.97%

Step-by-step explanation:

Have taken course online (H) = 23%

Have NOT taken course online (N) = 77%

Have taken course online and don't believe they provide same value (H&D) = 61%

Have NOT taken course online and don't believe they provide same value (N&D) = 73%

The probability that a student has taken a course online given that she does not believe that online courses provide the same educational value as one taken in person is;

P(H|D)=\frac{P(H)*P(H\&D)}{P(H)*P(H\&D)+P(N)*P(N\&D)}\\P(H|D)=\frac{0.23*0.61}{0.23*0.61+0.77*0.73}\\P(H|D)=0.1997

There is a 0.1997 or 19.97% chance that she has taken an online course before.

3 0
4 years ago
16. Emily bought 48 yards of fabric to make curtains. How many inches of<br> fabric did Emily buy?
USPshnik [31]

Answer:

1728 inches

Explanation:

There are 3 feet in 1 yard and 12 inches in 1 foot, so we have:

48 yards * 3 = 144 feet

144 ft * 12 = 1728 inches

Emily bought 1728 inches.

7 0
3 years ago
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