Spencer is going snowboarding. He rode the ski lift to the top of the mountain,
which is at an altitude of 1300 feet. The angle of elevation from the bottom to the
top of the mountain is 25°. What is the length of the Spencer's run (his trip down
the hill)?

Answer: 55.4

Step-by-step explanation:

Remember soh cah toa

tangent = adjacent/opposite

angle is 18 degrees

Opposite is 18

Adjacent is x

So tangent of 18 degrees = 18/x

Use calculator to find tangent of 18 =0.3249

So 0.3249 = 18/x

Reciprocal both sides

3.0777 = x/18

Multiply both sides by 18

x = 55.3983

You may need to round

Answer:

EG is perpendicular to HF

Step-by-step explanation:

We know this because in order for two segments to be perpendicular there has to be a right angle. And there is a right angle therefore segment EG is perpendicular to segment HF

Answer:F is perpindicular to G

Step-by-step explanation: Well I think this because they both have angles but im kinda confused to this is just a guess

Answer:

Step-by-step explanation:

f(x)= 36( 1 - 0.12)^x. F(x)= 36(0.88)^3. f(x)= 95.04    190-95.05 = 94.95 degree.

Because the temperature is going down, we will use (1-0.12) instead of (1+0.12). X=3 because it is what temperature after 3 min. x= time.

I don't understand the question that well, but please don't report me. I will fix it if I can.

Answer:

(3,-4)

Step-by-step explanation:

rise=go up

run=go left or right

if you go left its negitive if you right its positive

always start with the lower dot

hopes this helps id you need more help just message me

Step-by-step explanation:

step 1. x - 70 = 135

step 2. x = 205. add 70 to each side

Answer:

literal

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of triangular prism=120in³

Area of triangle ×length =120in³

1/2×6×x×4=120in³

12x=120

X=120/12=10in

Answer:

14kilometers

Step-by-step explanation:

diameter=2*radius.

Answer:

I don't know look it up lol

Step-by-step explanation:

that's what I did go to answers. com that's where I get all my answers that brainly doesn't provide that or ask a tutor

Answer:

9 tens will be 90 (9x10=90) so there will be 90 ones

Step-by-step explanation:

I think that's what you are asking right?

Answer:

you are 100 percent correct

Answer:

100 bicycle

Step-by-step explanation:

Given the cost c in dollars of manufacturing x bicycles at a production plant expressed as C(x)=5x^2-1000x+63,500.

x is the number of bikes

To minimize the cost, dC/dx = 0

dC/dx = 10x - 1000

Since dC/dx = 0

0 = 10x - 1000

-10x = -1000

x = 1000/10

x = 100

Hence the number of bicycles that must be manufactured to minimize the cost is 100 bicycle

Answer:

Slope is 5

Y-intercept is 35

Answer:

Literally. can't help. you dude.

Answer:

one piece = 1/3

Step-by-step explanation:

Answer:

she has 75 feet of ribbon, this number cant be expressed as a mixed number

Step-by-step explanation:

Answer:

72 m3

Step-by-step explanation:

Just multiply every number, 6*3*4=72

Answer:

64

Step-by-step explanation:

78 - 14

yes since you multiply the x number by 3 to get y

Answer:

110

Step-by-step explanation:

y = 11/6x where x is in minutes

there are 60 minutes in an hour

plug in 60 as x

11/6 *60 = 11*10 = 110

Answer:17

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

I=Prt

11.25=A(0.03)(15/12)

11.25=A(0.0375)

A=11.25/(0.0375)

A=$300

25=B(0.05)(15/12)

25=B(0.0625)

B=25/(0.0625)

B=$400

So account B has the greater principal.

Answer:

1,124.12 mm

Step-by-step explanation:

Steps to answering this question :

First determine the radius of the circle from the area of the circle

Use the radius determined above to calculate the circumference

Area of a circle = nr²

where r = radius

n = pi = 3.14

100,608.7mm = nr²

to determine the radius, divide both sides of the equation by 3.14

32,040.98726mm = r²

Find the square root  of 32,040.98726mm

√32,040.98726mm

r = 179mm

Circumference of a circle = 2nr

2 x 179 x 3.14 = 1,124.12 mm

Answer:

Well you have to solve each problem first to make them the same. Let's do decimals.

a) The square root of 58 is 7.61577310586. Let's round that to 7.62. You can solve this with a calculator.

b) Simply -32.0, since it is a whole negative number.

c) I think there's a typo, 'C' is the second 'b)', which is 49/7. 49 divided by 7 is seven, hence the decimal would be 7.0

d) 2.65 repeated, already a decimal, does not need changed.

e) The square root of 6 is 2.44948974278. Let's round that to 2.45.

f) is just 0. no decimal, just 0.

Now that you have these as the same form of number, you have to put them into one of these categories. The categories can be found below.

Any square root number is irrational. Any never ending number is irrational, like pi, but there are none of those in this situation. So a, and e are all irrational.

Any repeated number, in this case, 2.65 repeated, is a rational number, as is any decimal or fraction, but there are none of these, so d is rational.

-32 is and integer, because it is a negative whole number, so b is an integer.

Whole numbers are any numbers 0+. So f is the only answer that is a whole number.

Natural numbers are any numbers 1+. So c or the second b is a natural number.

Hope this helps :)

Stay Cold,

Brook

Answer:

x = 5

Step-by-step explanation:

NL/ML = SL/RL

(3x - 1)/28 = (x + 7)/24

24(3x - 1) = 28(x + 7)

72x - 24 = 28x + 196

72x - 28x = 196 + 24

44x = 220

x = 220/44

x = 5

Answer:

3017.54

Step-by-step explanation:

3.14 x radius(squared)

31 squared =961

3.14 x 961=