Given the graph below, find GH.

Please answer only if you know it’s for a test

9514 1404 393

Answer:

  38.2°

Step-by-step explanation:

The law of sines tells you ...

  sin(x)/15 = sin(27°)/11

  sin(x) = (15/11)sin(27°) . . . . . multiply by 15

  x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°

  x ≈ 38.2°

_____

Additional comment

In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.

Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.

The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle  (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.

Answer:

37.50%

Step-by-step explanation:

The computation of the percentage of people who smoke have high blood pressure is shown below:

Given that

There is 50% of the people who has the high blood pressure

And, out of which 75% would smoke

So, the percent of the people who smoke have high high blood pressure is

= 50% × 0.75

= 37.50%

Answer:

The answer is B

Answer:

35%

Step-by-step explanation:

It’s 34.722222222222%, but if you round it up, it’s about 35%.

Answer:

x^7 = 60

Step-by-step explanation:

log(a)+log(b)=log(ab) so

logx 5 + logx 12 = logx (5*12) = logx 60

logx a = b means x^b = a so x^7 = 60

The logarithm equation in exponential form is x⁷ = 60

An exponential equation that can be represented in the form of abˣ.

The logarithm equation is:

logₓ 5 + logₓ 12 = 7

According to the rule of the logarithm,

log a + log b = log (ab)

logₓ ( 5 *12) = 7

logₓ ( 60) =7

According to the property of logarithm

logₓ ( a) = b

xᵇ = a

x⁷ = 60

To know more about Exponential Equation

https://brainly.com/question/23729449

#SPJ5

Answer:

A. 10 B. 15

Step-by-step explanation:

A. 25/1 * 2/5= 50/5

reduced it is 10

B. 25-10=15

Answer:

she brought 10 shells to her classroom and 15 shells to her house. Hope that helps!

Answer:

I think it is d

Step-by-step explanation:

hope this helps

Answer:

2.95

Step-by-step explanation:

2.945 would round up to 2.95 because when a number is followed by 5 it rounds up.

Answer:

y= 3x +1

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

☆ (x1, y1) is the 1st coordinate and (x2, y2) is the 2nd coordinate

Using the formula above, slope of line

[tex] = \frac{19 - 7}{6 - 2} \\ = \frac{12}{4} \\ = 3[/tex]

Subst. m=3 into the equation:

y= 3x +c

To find the value of c, substitute a pair of coordinates.

When x= 2, y= 7,

7= 3(2) +c

7= 6 +c

c= 7 -6

c= 1

Thus, the equation of the line is y= 3x +1.

Step-by-step explanation:

√3sinA-cosA=√2

dividing both side by (√3²-1²=2 we get)

√3/2 sinA-1/2.cos A=√2/2

cos 30sinA-sin30cosA=√2/(√2×√2)

sinAcos30-cosAsin30=1/√2

sin(A-30)=sin45,sin(180-45)

therefore

A-30=45,135

A=45+30=75 or A=135+30=165

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

[tex]f(1) = 2[/tex]

Now, we find f(2) in function of f(1). So

[tex]f(1+1) = f(1)^2 - 3[/tex]

[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]

Now, with f(2), we can find the value of f(3).

[tex]f(2+1) = f(2)^2 - 3[/tex]

[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]

The value of f(3) is -2.

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

deccweljvrl;ej e

Answer:

15

Step-by-step explanation:

A÷B= H (Area divided by base equals height)

315÷21= 15

Answer:

height = 15

Step-by-step explanation:

Area of a parallelogram: Base * height

Plug in the values we know.

21 * height = 315

Divide both sides by 21

height = 15

Answer:

Step-by-step explanation:

(x,y) ↦ (x+130, y-105)

original position of SE corner: (-50,25)

new position of SE corner: (80,-80)

distance = [tex]\sqrt{(80-(-50))^{2}+(-80-25)^{2} }[/tex]≅167.1 ft

Step-by-step explanation:

Verbs are read, complete, checked, work, invite. Pronouns are their, your, and them. Nouns are Classroom, Zeroes, Friday, February, friends, assignment, students, trimester. Adjectives are simple, missing.

Hope this helps! If I missed some or got some wrong, please tell me! Goodbye!

Answer:

I think that the answer is 12x<150

Answer:

12x<150

Step-by-step explanation:

y =2x-1

Step-by-step explanation:

Answer:

f^(-1) = x/4

Step-by-step explanation:

1.  Starting with f(x) = 4x, replace 'f(x)' with y:  y = 4x

2.  Interchange x and y:  x = 4y

3.  Solve for y:  y = x/4

4.  Replace this y with 'f^(-1) = ":    f^(-1) = x/4

Answer:

where are the graphs?

Step-by-step explanation:

Answer:

3% of 145000

Step-by-step explanation:

calculator

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = [tex]\frac{0-(-2)}{4-0}[/tex] = [tex]\frac{0+2}{4}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

height After 3 weeks: 19.5

Step-by-step explanation:

I dont know answer to second

Answer:

12

Step-by-step explanation:

substitute x = 7 into the equation:

[tex]4 (7-4)\\4(3)\\12[/tex]

Answer:

12

Step-by-step explanation:

First, you insert the 7 in place of the x. Then you do what is in the parenthesis, according to PEMDAS. 7-4 = 3. You end up with 4(3). You then do distributive property and you end up with 12.

Answer:

C

Step-by-step explanation:

A natural number is a number that you would use to count kids in a class for example. Like, 1,2,3,4 and so on. 2.5 is not a natural number since there cant be 2.5 of a student. 5-151 is a negative number and there cant be negative students. -13+51=38. 38 is a natural number. Now, in D it looks like there mightve been a absolute value sign but im not sure. If D has absolute value signs then D works too. Hope I could help.