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irinina [24]
3 years ago
13

400 >

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

For this case we have by definition of trigonometric relations of rectangular triangles that, the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. Then according to the figure we have:

Sin (40) = \frac {CA} {7}

We cleared CA:

AC = 7 * Sin (40)

Answer:

Option A

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Which shows one way to determine the factors of x - 9x2 + 5x – 45 by grouping?
EleoNora [17]

Answer:

The last one.

Step-by-step explanation:

6 0
3 years ago
A weather forecaster says the temperature will be about-5C “give or take” 10 degrees. What is the greatest possible temperature?
IRINA_888 [86]

The greatest possible temperature is 5^{\circ} \mathrm{C} and least possible temperature is -15^{\circ} \mathrm{C}

<u>Solution:</u>

Given that according to weather forecaster the temperature will be about -5 degree celsius given or take 10 degree”

Need to determine greatest possible temperature and least possible temperature.

Give and take in given statement means a temperature can go up by 10 degrees and can go down by 10 degrees

So greatest possible temperature will be -5^{\circ} \mathrm{C}+10^{\circ} \mathrm{C}=5^{\circ} \mathrm{C}

Least possible temperature will be -5^{\circ} \mathrm{C}-10^{\circ} \mathrm{C}=-15^{\circ} \mathrm{C}

Hence according to weather forecaster, greatest possible temperature = 5^{\circ} \mathrm{C} and least possible temperature = -15^{\circ} \mathrm{C}

4 0
3 years ago
Can someone please help me please?
jeka57 [31]
B because if you take it it would be b
8 0
2 years ago
3. A line goes through the points (3,4) and (-3,6).
Galina-37 [17]

Answer:

Part a) The slope is m=-\frac{1}{3}

Part b) The equation in point slope form is y-4=-\frac{1}{3}(x-3)

Part c) The equation in slope-intercept form is y=-\frac{1}{3}x+5

Step-by-step explanation:

we have the points (3,4) and (-3,6)

Part a) What is the slope of the line?

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given points

m=\frac{6-4}{-3-3}

m=\frac{2}{-6}

m=-\frac{1}{3}

Part b) Write the equation of the line in point-slope form

y-y1=m(x-x1)

we have

m=-\frac{1}{3}

point\ (3,4)

substitute

y-4=-\frac{1}{3}(x-3)  ---> equation in point slope form

Part c) Write the equation of the line in slope-intercept form

y=mx+b

we have

y-4=-\frac{1}{3}(x-3)

Isolate the variable y

distribute right side

y-4=-\frac{1}{3}x+1

Adds 4 both sides

y=-\frac{1}{3}x+1+4

y=-\frac{1}{3}x+5 ---> equation in slope intercept form

7 0
3 years ago
As part of a science experiment, Sam recorded the four values shown in the table, but one of them got smudged on his paper. He r
denpristay [2]

Answer:

D) 4

Step-by-step explanation:

−9 + 12 + (unknown) + −8 = −1

<em>Start by going through and testing each option</em>

−9 + 12 + 2 + −8 =

3 + 2 + −8 =

5 + −8 =

−3

−3 ≠ −1

<em>A) 2 is not possible.</em>

−9 + 12 + −2 + −8 =

3 + −2 + −8 =

1 + −8 =

−7

−7 ≠ −1

<em>B) </em>−<em>2 is not possible.</em>

−9 + 12 + −4 + −8 =

3 + −4 + −8 =

−1 + −8 =

−9

−9 ≠ −1

<em>C) </em>−4<em> is not possible.</em>

<em>From this, D is looking like the answer. But to be sure, test it.</em>

−9 + 12 + 4 + −8 =

3 + 4 + −8 =

7 + −8 =

−1

−1 = −1

<em>D) 4 is the answer.</em>

5 0
3 years ago
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