A skateboarding ramp is 13in. high and rises at an angle of 13°. How long is the base of the ramp? Round to the nearest inch.

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for [tex]x[/tex]:

[tex]10x+60=180,\\10x=120,\\x=\boxed{12}[/tex]

Answer:

x=12

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

10x+60=180

Subtract 60 from both sides:

10x=120

Divide 10 to both sides:

x=12

Answer:

585.57

Step-by-step explanation:

Maya got 286.00

if lian got 192.84 less than we do 286-192.84 which is 93.16

if lian got 93.16, we add 113.25 to 93.16 to get rei's amount.

113.25 + 93.16 = 206.41

Now we add all their amounts, 286+93.16+206.41

585.57

13)

from F to J it's 6 steps in x-direction and 3 steps in y-direction (up)

3/6 = 0.5

from J to H it's -2 steps in x-direction (to the left) and -4 steps in y-direction (down)

-4/-2 = 2

from G to H it's 6 steps in x-direction and 7 steps in y-direction (up)

7/6 = 1.1666666

14)

FG and JH are parallel

FJ and GH are parallel as well

meaning same slope

the other combinations are perpendicular (see screenshot)

15)

my brain needs rest. but just a hint: solve via pythagorean theorem, find the distance in x direction, and in y direction, then use a²=b²=c²

hope it gives you something

Answer:

Larger number: 22

The smaller number: 14

HOPE THIS HELPS

Answer:

B)785.0 cubic inches

Step-by-step explanation:

amount of soup the pot can hold is equal to its volume

Volume of a cylinder is πr²h

π(5inches)²x 10inches

785.39816339744830

~785.0 cubic inches

9514 1404 393

Answer:

  349

Step-by-step explanation:

In Roman numerals, C=100, L=50, X=10, V=5, I=1. Values are additive except when a lower value precedes a higher value. In that case, the lower value is subtracted.

The value here is 10 -1 +50 -10 +100 +100 +100 = 349.

__

Additional comment

Letters are assigned to 1 and 5 and those values multiplied by 10 or 100. When you get to 4000 and above, special forms apply. By convention, only unit values within a factor of 10 are subtracted. In the above number, 49 is written XLIX, not IL.

Answer:

B. 30 units³

Step-by-step explanation:

the volume= 5×2×3 = 30

Answer:

72

Step-by-step explanation:

Angles of triangles add up to 180

x=180-57-51

x=72

Answer:

2.5 ft

Step-by-step explanation:

there are 12 inches in a foot, so divide the number of inches by 12

30 ÷ 12 = 2.5

2.5 feet (ft)

hope this helped!

Answer:

If Khalfan is 30 inches, he is 2.5 feet

Step-by-step explanation:

1 foot is 12 inches, so to get closest to 30, you double 12 to 24, and then you add another 6 inches, which is half of 1 foot, and there you go! You're welcome!

Answer:

The amount of money one may spend in a month may be greater than that of ones monthly payment especially when the payment is at a lower rate.

Answer:

Family size

Step-by-step explanation:

40 oz of the regualr size would cost $8.40, therefor making the family size a better deal.

Hope this helps, correct me if i am wrong :)

Answer:

[tex]g^-^1(x)=-8[/tex]

[tex]h^-^1(x)=\frac{x-4}{3}[/tex]

[tex](h^-^1 \ o\ h)(-3)=-3[/tex]

Step-by-step explanation:

When given the following functions,

[tex]g=[(-2,-7),(4,6),(6,-8),(7,4)][/tex]

[tex]h(x)=3x+4[/tex]

One is asked to find the following,

1. Question 1

[tex]g^-^1(4)[/tex]

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

[tex]g^-^1(4)[/tex]

[tex]g(4)=6\\g(6)=-8\\g^-^1(4)=-8[/tex]

2. Question 2

[tex]h^-^1(x)[/tex]

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

[tex]h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)[/tex]

[tex]h^-^1(x)=\frac{x-4}{3}[/tex]

3. Question 3

[tex](h^-^1 \ o\ h)(-3)[/tex]

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ([tex]h^-^1[/tex]) and simplify. Then substitute (-3) into the result.

[tex]h^-^1\ o\ h[/tex]

[tex]\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x[/tex]

Now substitute (-3) in place of (x),

[tex]=-3[/tex]

Answer:

40 square units

Step-by-step explanation:

First of all, lets say that square has side [tex]l[/tex], so, the area unit is [tex]l^2[/tex]

the diagonal's square is [tex]l\sqrt{2}[/tex]

CALCULATION OF TRIANGLES'S AREA (there are 4 triangles)

[tex]A_{triangles}=4*base*heigh*0.5=2*(l\sqrt{2} )(2l\sqrt{2} )=8l^2[/tex]

CALCULATION OF MAIN SQUARE AREA

[tex]A_{square}=side*side=(4\sqrt{2} l)(4\sqrt{2} l)=32l^2[/tex]

TOTAL AREA

[tex]A_{total}=A_{triangles}+A_{square}=8l^2+32l^2=40l^2[/tex]

Answer:

32.2

Step-by-step explanation:

Given :

f(x) = x² +9

P(x) = f(x) - 34 ÷ x + 5

P(5) =?

Substitute 5 for X on P(x)

P(5) = f(5) - 34 ÷ x + 5

f(5) = 5² + 9 = 25 + 9 = 34

P(5) = 34 - 34 ÷ 5 + 5

According to PEMDAS

-34 ÷ 5 = - 6.8

P(5) = 34 - 6.8 + 5

P(5) = 34 - 1.8

P(5) = 32.2

Answer:

slope = 6

y-intercept is (0,-1)

Step-by-step explanation:

the equation y = 6x-1 is written in slope-intercept form so it's easy to find the slope and the y-intercept

Answer:

[tex]{ \tt{(2 \sin x. \cos x) - \cos x = 0}} \\ \\{ \tt{ \cos x(2 \sin x - 1) = 0 }} \\ either : { \tt{ \cos x = 0 \: \: or \: \: (2 \sin x - 1) = 0}} \\ \\ { \boxed{ \bf{x = 30 \degree, \: 90 \degree, \: 150 \degree,\:270\degree}}}[/tex]

Answer:

a. μ = 25

b. σ = 16.496

Step-by-step explanation:

Note: See the attached excel for the calculation of Mean and Deviation from Mean.

Let: N = Number of observation = 9

F = Frequency

Therefore, we have:

a. Compute the expected number of arrivals per minute. μ=___( please type as an integer or a decimal)

From the attached excel file, we have:

Total F = 200

Therefore, we have:

μ = Mean = Total of F / (N - 1) = 200 / (9 - 1) = 25

b. Compute the standard deviation σ=___(please round to three decimal places as needed)

From the attached excel file, we have:

Total (F -  μ)^2 = 2,177

σ = Standard deviation = (Total of (F -  μ)^2 / (N - 1))^0.5 = (2,177 / (9 - 1))^0.5 = 16.496

Answer:

1

Step-by-step explanation:

The y intercept is when x =0

We need to use the second equation

-x+1  since -2 < 0 <3

0+1

The y intercept is 1

Answer:

838

Step-by-step explanation:

556--282 negative minus a negative is a positive

Answer:

838

Step-by-step explanation:

556 - ( - 282 )

= 556 + 282

= 838

Answer:

11) 153, 85, 238 12) 12, 15, 27

Step-by-step explanation:

To find the area of these shapes, you have to cut them into two seperate shapes as shown the in the image: Shape 1 and Shape 2

11) Let Shape 1 be the rectangle: 17×9=153

let Shape 2 be the triangle: [tex]\frac{1}{2}[/tex]×10×8.5=42.5×2=85

Total area: 153 + 85 = 238

12) Let cut this shape vertically where you'll have a rectangle thats 3 by 4 and a rectangle that's 5 by 3

Shape 1: 3×4=12

Shape 2: 5×3=15

Total area: 15 + 12 = 27

Answer:

what level math is this

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

i dont now how to arrange

Answer:

12

Step-by-step explanation:

trust me bro

Answer:

C and E

Step-by-step explanation:

Answer:

hello hello hello hèllo

Answer:

V = 1/3 pie r2 h

= 1 /3 x 22/7 x 6.5 x 6.5 x 21

= 929.5 cm^3

9514 1404 393

Answer:

  P: $0.12/kWh; M: $0.15/kWh

  $285 from company P

Step-by-step explanation:

The cost per kWh from Company P is found by dividing the cost by the corresponding number of kWh:

  $150/(1250 kWh) = $0.12/kWh

The cost per kWh from Company M is the coefficient of x in the equation:

  $0.15/kWh

__

Company P provides power for a lower cost. The cost from Company P for 2375 kWh is ...

  (2375 kWh)×($0.12/kWh) = $285 . . . cost for 2375 kWh

Answer:

ans: additive inverse is -5

multiplicative inverse is 1/5

Step-by-step explanation:

adding what value to 5 makes it 0 i.e

5 + (- 5)= 0 ( so additive inverse is -5)

multiplying what value to 5 makes it 1 i.e

5×( 1/5)=1 ( so multiplicative inverse is 1/5)

Answer:

Jada should use the tank of golf balls

Step-by-step explanation:

Jada should choose the tank that has a higher probability of choosing a ball with even number from.

Tank of tennis balls has two even numbers out of the ten balls (2, 4)

Tank of golf balls has seven even numbers out of the ten balls.

Tank of golf balls would give Jada more chance to pick an even number to win the game

Therefore, Jada should use the tank of golf balls