To determine the height of the volcano Mount Saint Helens, a surveyor measured the angle of elevation to the top of the volcano to be 34.8°. She then moved 1000 feet closer to the volcano and measured the angle of elevation to be 40.4° Determine the height of Mount Saint Helens to the nearest foot.​

Answer:

y = 13/7x - 13

Step-by-step explanation:

We are given the x-intercept of (7, 0) and the y-intercept of (0, -13). We can solve for the slope using the formula [ y2-y1/x2-x1 ] and the points given.

-13-0/0-7

-13/-7

13/7

We can write the equation in slope-intercept form which is [ y = mx + b ] where m = slope and b = y-intercept. We are already solved for the slope and was given the y-intercept so we can fill it into the formula.

y = 13/7x - 13

Best of Luck!

Answer:

x(.25)

Step-by-step explanation:

X is the gift and you multiply it by .25 and that takes 25% off.

Hope this helps :)

Answer:there you go

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

15)

In the right-angle triangle, once one of the angles is 44º, then, the unknown angle is [tex]x[/tex].

[tex]180 = 44 + 90 + x[/tex]

[tex]180 = 134 + x[/tex]

[tex]x= 46[/tex]

The angle [tex]y[/tex] of the other triangle plus the angle [tex]x[/tex] of the right-angle triangle is equal to 90º, therefore they are complementary angles.

So,

[tex]90 = x + y[/tex]

[tex]90 = 46 + y[/tex]

[tex]y=44[/tex]

To find ?, we have

[tex]180 = 58 + 44 +?[/tex]

[tex]180 = 58 + 44 +?[/tex]

[tex]? =78[/tex]

16)

The sum of the internal angles of the triangle with angles 50º and 25º is equal to 180º, therefore, the other angle is

[tex]180 = x + 50 + 25\\180 = x+ 75\\x=105[/tex]

Once the angles are opposite, they are the same. For the triangle with the 36º angle, we have

[tex]180 = 36 + 105 + y[/tex]

[tex]180 = 141+ y[/tex]

[tex]y=39[/tex]

[tex]?=39[/tex]

Answer: x=11 or x=-11

Step-by-step explanation:

Answer:x=11 or x=-11

Step-by-step explanation:  First, Use the FOIL method.

(x+5)(x+4)=9x+141

First: [tex]x^{2}[/tex]

Outer: 4x

Inner:  5x

Last:  5x4=20

Combine Like terms and write in standard form: [tex]x^{2}[/tex]+9x+20

Set up new equation:[tex]x^{2}[/tex]+9x+20=9x+141

Subtract 9x from both sides: [tex]x^{2}[/tex]+20=141

Subtact 20 from both sides: [tex]x^{2}[/tex]=121

Sqr root 121: [tex]\sqrt{121}[/tex] =11

Remeber a sqr root of a positive number can be positive and negative so x= 11 or -11

Answer:

Cable attached height (Perpendicular) = 10√3 m

Step-by-step explanation:

Given:

Length of cable (Hypotenuse) = 20 m

Angle θ = 60°

Find:

Cable attached height (Perpendicular)

Computation:

Perpendicular/Hypotenuse = Sinθ

Perpendicular/20 = Sin 60

Perpendicular/20 = √3 / 2

Perpendicular = 10√3

Cable attached height (Perpendicular) = 10√3 m

Answer:

D

Step-by-step explanation:

The required range of the function g(x) = a|x| + b is y ≥ 0.

Let's analyze the function g(x) = a|x| + b step by step to determine its range.

The function |x| represents the absolute value of x, which means it always yields non-negative values. Therefore, a|x| will also be non-negative for any value of x.

Adding b to a non-negative value will shift the entire range up by b units, but it will still be non-negative.

Since a < 0, a|x| will be negative when x is positive. However, the absolute value function ensures that it will be positive when x is negative, balancing out the effect.

Finally, adding the constant term b to a|x| makes the entire range of g(x) non-negative.

In summary, the range of g(x) = a|x| + b is y ≥ 0.

Learn more about the range here:

https://brainly.com/question/29326361

#SPJ12

Answer:

The slope and y-intercept of Ralph´s T-Shirt Company is m=2 and b=20

The slope and y-intercept of Frank´s T-Shirt Company is m=1 and b=0

The solution of the graph is where the two lines intersect, the points (4,40)

Step-by-step explanation:

I hope this helps!!

Answer:

-18

Step-by-step explanation:

x+4=14

subtract 4 from both sides to cancel out the 4 and leave you with and X

x=-18

Answer:

c=1/8

Step-by-step explanation:

2c-1/4=0

2c=1/4

2c/2=1/4/2

c=1/4x1/2

c=1/8

Answer: 3.81

Step-by-step explanation:

Answer:

3.81

Step-by-step explanation:

1. We assume, that the number 25.4 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 25.4 is 100%, so we can write it down as 25.4=100%.

4. We know, that x is 15% of the output value, so we can write it down as x=15%.

5. Now we have two simple equations:

1) 25.4=100%

2) x=15%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

25.4/x=100%/15%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 15% of 25.4

25.4/x=100/15

(25.4/x)*x=(100/15)*x       - we multiply both sides of the equation by x

25.4=6.66666666667*x       - we divide both sides of the equation by (6.66666666667) to get x

25.4/6.66666666667=x

3.81=x

x=3.81

Answer:

You just need to substitute 4 in for h.

So 48 + 25(4) = 48 + 100 = 148

Answer:

The answer is 148 dollars

Step-by-step explanation:

Answer:

3t+2

Step-by-step explanation:

khan said so

Answer:

[tex]B =120[/tex]

Step-by-step explanation:

Given

Represent Kitchen with K and Bedroom with B.

So:

[tex]K = 50ft^2[/tex]

[tex]K = 10 + \frac{1}{3}B[/tex] --- 10 more than 1/3 of Bedroom area

Required

Determine the bedroom area

The expression of K and B has been determined above.

The next step is to substitute 50 for K in the second equaion

[tex]K = 10 + \frac{1}{3}B[/tex]

[tex]50 = 10 + \frac{1}{3}B[/tex]

Multiply through buy 3

[tex]3 * 50 = 3 * 10 +\frac{1}{3}B * 3[/tex]

[tex]150 = 30 +B[/tex]

Make B the subject

[tex]B =150 - 30[/tex]

[tex]B =120[/tex]

Hence, the area of the bedroom is 120ft^2

Answer:

120

Step-by-step explanation:

no explanation

Answer:

0. 048

Step-by-step explanation:

Given that V=IR

R=V/I

R=6.0/125

R=0. 048ohms

Answer:

Step-by-step explanation:

2 is the largest shared factor.  Thus, the given 14a + 8 = 2(7a + 4).

Answer:

The last one.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the answer is D I believe

Answer:

l=2w-3

Step-by-step explanation:

Answer:

$141.44

Step-by-step explanation:

- $17.68 each plate

- There are 8 plates

17.68 times 8 = $141.44

Answer:

see explanation

Step-by-step explanation:

(b)

Given

x² - 8x + 20 = (x - 4)² + 4

(x - 4)² will be positive for all real values of x , except x = 4, where it will be zero.

Then (x - 4)² > 0, so

(x - 4)² + 4 > 0 , that is always positive

Answer:

Answer 4

Step-by-step explanation:

The slope is 7.8-4.8/12-7 = 3/5 = 0.6

So choose between 3 & 4

Plug in one of the points in 3:

7.8=0.6*12+1.8

7.8=7.2+1.8

7.8=9 wrong

Plug in 4:

7.8=0.6*12+0.6

7.8=7.2+0.6

7.8=7.8 correct

Answer:

3.56

Step-by-step explanation:

The fraction must equal 1 when simplified because 6.93 times 1= 6.93

Because 4.21 is found on both top and bottom, they get eliminated. So only 3.56 is left.

Hope this helps! :)

Answer:

fasle

Step-by-step explanation:

brainlyest

Answer:

x = -13

Step-by-step explanation:

9 - 2x = 35

-9           -9

-2x = 26

divide by -2

x = -13

Answer: 13

Step-by-step explanation:

first, - 9 from both sides, then divide both sides by 2 to isolate the variable that is how

Answer:

The area of triangle ACE before dilation is:  30 square inches

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

The length of the image can be determined by multiplying the length of the original point by a certain scale factor.

Given that after triangle ACE is dilated by a factor of 6, it has an area of 180 square inches.

Thus, it means the dilated area is 6 times the area before dilation.

Let x be the pre-dilation area

As the dilated area is 6 times the area before dilation, so

6x = 180

divide both sides by 6

6x/6 = 180/6

x = 30 square inches.

Therefore, the area of triangle ACE before dilation is:  30 square inches

Answer:

2 hours

Step-by-step explanation:

20+5x=10+10x

x = 2