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iVinArrow [24]
2 years ago
13

(07.04 MC)

Mathematics
1 answer:
KIM [24]2 years ago
4 0
Answer: 4.00

Explanation

To find the maximum value for x, the hypotenuse, with a given of an angle 30° and a height of 2 m, we can see that 30° is directly opposite the side of 2 m, in which case we may use the sin of 30° to find the hypotenuse.

Remember that the sin = opposite/hypotenuse, so sin30° = 2/x

1) sin30 = 2/x
2) 1/2 = 2/x
3) x = 4

Hope this helps :)
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Answer this please !
SpyIntel [72]

Answer:

6

Step-by-step explanation:

\frac{y}{2} =x^{2} -7

\frac{a}{2} =2^{2} -7

\frac{a}{2} =-3

a=-6

\frac{b}{2} =1^{2} -7

\frac{b}{2} =-6

b=-12

From the calculations above, we learn that line l and the curve intersect at (2, -6) and (1, -12). Next, we will set up a system of linear equations to solve for the slope and the y-intercept of line l.

-6=2m+b        

-12=m+b

-24=2m+2b

18=-b

b=-18

-12=m-18

m=6

Therefore, the slope of line l is 6.

3 0
1 year ago
Read 2 more answers
Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.
dezoksy [38]

Answer:

The equation in the slope-intercept form will be:

y=-\frac{5}{4}x+1

Step-by-step explanation:

Given

  • slope = m = -5/4
  • point = (8, -9)

As we know that the equation of a line in point-slope form is

y-y_1=m\left(x-x_1\right)

substituting the values m = -5/4 and point = (8, -9)

y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)

y+9=\frac{-5}{4}\left(x-8\right)

Writing the equation in slope-intercept form

y=mx+b

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

y+9=\frac{-5}{4}\left(x-8\right)

subtract 9 from both sides

y+9-9=\frac{-5}{4}\left(x-8\right)-9

y=-\frac{5}{4}x+1

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

y=-\frac{5}{4}x+1

7 0
3 years ago
6. What is the greatest common factor of 12wr2 + 6wr – 6w ?
balandron [24]

Answer:

a

Step-by-step explanation:

5 0
2 years ago
The national debt of a country is
olganol [36]

Answer:  3 \times 10^{13}

Explanation:

Highlight the first digit on the very left (2). The 7 right next to it means we'll round that 2 up to a 3. Every other digit becomes a zero.

The number 27,895,168,401,112 rounds to 30,000,000,000,000 which is the number 30 trillion.

It converts to the scientific notation 3 \times 10^{13} because we basically start with 3.0 and move the decimal point 13 spots to the right to arrive at 30 trillion as shown above.

8 0
2 years ago
I need help with this math problem plz help and plz explain your answer​
IceJOKER [234]

Answer:

34.04 cm²

Step-by-step explanation:

Formula for a trapezoid:

a + b ÷ 2 × height

Substitute the values:

11.7 + 3.1 = 14.8

14.8 ÷ 2 = 7.4

7.4 × 4.6 = 34.04

The answer is 34.04 cm²

8 0
2 years ago
Read 2 more answers
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