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Fudgin [204]
3 years ago
15

PLEASE HELP ME I DONT UNDERSTAND

Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0

Answer:

Picture #1: x=16 ; y=10

Picture #2: x=21 ; y=15

Picture #3: x=18

Step-by-step explanation:

Picture #1:

(8x-14)* and (5x+34)* are Alternate Exterior Angle so they are congruent. And (8x-14)* and (5y+16)* are supplementary so they equal 180*.

Picture #2:

(6x+7)* and (3x-16)* are supplementary so they equal 180*. And (6x+7)* and (11y-32)* are Vertical Angles so they are congruent.

Picture #3:

(7x-6)* and (4x-7)* are supplementary so they equal 180*.

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Find the values of the six trigonometric functions for angle G.
EleoNora [17]

Answers:

  • sin(G) = 3/5
  • cos(G) = 4/5
  • tan(G) = 3/4
  • csc(G) = 5/3
  • sec(G) = 5/4
  • cot(G) = 4/3

==============================================

Explanation:

For a right triangle, the sine of a reference angle is equal to the opposite over hypotenuse.

sin(angle) = opposite/hypotenuse

cosine involves adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse

tangent involves opposite over adjacent

tan(angle) = opposite/hypotenuse

-----------------

In short, we have this list so far

  • sin(angle) = opposite/hypotenuse
  • cos(angle) = adjacent/hypotenuse
  • tan(angle) = opposite/hypotenuse

The other three trig functions are reciprocals of these first three. Cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent.

Meaning, the other three trig ratios are

  • csc(angle) = hypotenuse/opposite
  • sec(angle) = hypotenuse/adjacent
  • cot(angle) = adjacent/opposite

--------------------

So,

  • sin(G) = opposite/hypotenuse = FH/FG = 24/40 = 3/5
  • cos(G) = adjacent/hypotenuse = GH/FG = 32/40 = 4/5
  • tan(G) = opposite/adjacent = FH/GH = 24/32 = 3/4

and

  • csc(G) = hypotenuse/opposite = FG/FH = 40/24 = 5/3
  • sec(G) = hypotenuse/adjacent = FG/GH = 40/32 = 5/4
  • cot(G) = adjacent/opposite = GH/FH = 32/24 = 4/3
6 0
2 years ago
Read 2 more answers
1. Find the vertex of the following: y = (x - 4)(x - 10) *
horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

\frac{-b}{2a}

First make the equation into a quadratic equation.

(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40

Now it is in the form

ax^{2} +bx+c=0

Now we can substitute the values

\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7

Now we have 7 as our x value for the vertex we can substitute for y,

x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

x-4=0\\x=4\\\\x-10=0\\x=10

4 is slightly different but start the same,

(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30

Vertex,

\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1

Substitute,

2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32

So the vertex is (-1,-32)

8 0
3 years ago
I need help w/ these two problems if you don't mind.
dusya [7]
The answers would be a and then ctell me if you need an explaination

4 0
3 years ago
Read 2 more answers
Combine like terms. 5/6x - 2/3x A. 1/6x B. 1/3x C. 1/2x D. x
professor190 [17]
The answer would be A
\frac{5}{6} - \frac{2}{3}  or  \frac{4}{6} =  \frac{1}{6}
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3 years ago
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