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4 years ago

ABC is a right triangle with right angle at ∠B.

1 answer:

4 0

We have to calculate AC ( hypotenuse ):
AC² = 29² + 28²
AC² = 841 + 1444
AC² = 2285
AC = √2285
AC = 47.8
And for the angle C:
cos C = Adjacent / Hypotenuse
cos C = 38 / 47.8
cos C = 0.794979
∠ C = cos ^(-1) 0.794979
∠ C = 37.35° ≈ 37°
Answer: ∠ C = 37°.

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I will give brainliest to whoever answers thiss!!

mash [69]

Answer:

y=3

Step-by-step explanation:

-5y=-11-4

-5y=-15

y=-15/-5

y=3

Hope this helps u...

7 0

3 years ago

Read 2 more answers

Graph: f(x) = -3sin (x/2 - π/4)

charle [14.2K]

This sine function has the form y = f(x) = a sin (bx + c), where |a| is the amplitude, b is the frequency, and c determines the phase shift.

The period of this sine curve is 2 pi/b, or (in this problem) 2 pi/(1/2).

The phase shift of this curve is -c/b, or -(pi/4)/(1/2). Simplify this.

The amplitude is |-3|, or just 3.

Draw a set of coordinate axes. Draw light horizontal lines through y=3 and y=-3. These are the max and min. values of this sine function.

Plot the phase shift on your x-axis.

Your sine function will begin at (phase shift value, 0) and continue for one period. Add the period to the phase shift value. Draw a sine curve beginning and ending at these two x-values.

I encourage you to share your calculations and to sketch the graph described here. Then I could give you more specific feedback on your work. Good luck!

3 0

3 years ago

You are scheduling a new delivery route and you need to find out how long it will take a driver to complete the route. You start

Sergio039 [100]

The route will take four hours and fifteen minutes. If you start at 9:50 and count four hours, you'll get to 1:50, add ten to get to 2:00, then add 5 minutes to get to 2:05. Four hours plus ten minutes plus five minutes, 4:15.

4 0

3 years ago

Read 2 more answers

A water district has been charging its customers a flat rate of $3.25 per HCF. Because of a drought emergency, it is instituti

sertanlavr [38]

Answer:

Step-by-step explanation:

The water district has been charging its customers a flat rate of $3.25 per HCF. If a family uses an average of 56 HCF per month, the total charge would be

3.25 × 56 = $182

Because of a drought emergency, it is instituting a block rate of $3.60 for the first 20 HCF and $4.85 for the next 40 HCF. If a family uses an average of 56 HCF per month, the total charge would be

(3.6 × 20) + 4.85(56 - 20)

= 72 + 174.6

= $246.6

The increase in the charge is

246.6 - 182 = $64.6

The percent by which their average bill increased under the block system is

64.6/182 × 100 = 35.5%

5 0

3 years ago

A problem contains the points (0,0),(1,-2) and (-1,-4). What is the equation of this parabola in standard form?

Bas_tet [7]

Answer:

The general equation of the parabola y = -3 x² + x

Step-by-step explanation:

Step(i):-

Given points are (0,0) , (1, -2) and ( -1 , -4 )

Given the standard parabola

y = ax²+ b x + c ...(i)

Passing through the point (0,0)

c = 0

Passing through the point (1,-2)

-2 = a(1) +b(1)

a + b = -2 ...(ii)

Passing through the point (-1, -4)

- 4 = a - b

a - b = -4 ...(iii)

Step(ii):-

Adding (ii) and (iii) equations , we get

2 a = -6

a = - 3

substitute a = - 3 in equation (ii)

-3 + b =-2

b = -2 + 3 = 1

Final answer:-

The general equation of the parabola

y = ax²+ b x + c

y = -3 x² + x + 0

y = -3 x² + x

4 0

3 years ago