MATHEMATICS HIGH SCHOOL

In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?

Answers

Answer 1
Answer:

Step-by-step explanation:

tangent = opposite / hypothenus

tan C = ED / DC

tan C = 28 / 53
Answer 2
Answer:

Answer:

I just go it wrong, it's 28/45

Step-by-step explanation:

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find the volume of a 4 ft by 2 ft by 3 ft rectangular prism with a cylindrical hole, radius 6 in., through the center

Answers

V = lwh - πr²h
V = (4)(2)(3) - 3.14(¹/₂)²(3)
V = (8)(3) - 3.14(¹/₄)(3)
V = 24 - 3.14(³/₄)
V = 24 - 2.355
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The quotient of a number and 3 is decreased by 121. The result is -164.

Answers

quotient of number and 3 decreased by 121 is -164
change them to equations

121 - (n)/(3) = - 164
- (n)/(3) = -285
- n = -855
n = 855

check:
121 - (855)/(3) = -164
121 - 285 = -164
-164 = -164

Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lbs. If x represents the number of 3 lb weights and y represents the number of 10 lb weights, which equation can be used to find the number of each type of weight Bob has?

Answers

The equation would be 3x+10y=50.

Answer:

B

Step-by-step explanation:

I did the test

Factor the following trinomial by grouping

9x^3+30x^2+24x

Answers

Factor

9x3+30x2+24x
9x3+30x2+24x
=3x(3x+4)(x+2)
9x^3+30x^2+24x \n \n gcf = 3x \n \n 3x ( (9x^3)/(3x) + (30x^2)/(3x) + (24x)/(3x) ) \n \n 3x(3x^2 + 10x + 8) \n \n 3x ( 3x^2 + 6x + 4x + 8) \n \n 3x(3x(x + 2) + 4(x + 2)) \n \n 3x(x + 2)(3x + 4) \n \n

The final result is: 3x(x + 2)(3x + 4).

Write the equation of a line with a slope of 4 and a y-intercept of −3. 4x + y = −3 4x – y = −3 y = −3x + 4 y = 4x − 3

Answers

Knowing the slope and y-intercept of a line you can put its equation in slope-intercept form.
The slope-intercept form equation of a line is y=mx+b where m is the slope and b is the y-intercept.
In this case, since the slope is 4 and the y-int. is -3, our equation must be
\boxed{y=4x-3}

y=4x-3

4 is the slope and -3 is the y intercept

By plugging these values into the slope intercept form: y=mx+b I came up with the previous answer-y=4x-3

m= the slope, and b=the y intercept

What's the answer to this?

Answers

I'm pretty sure the answer is 40
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