Stella is sawing boards to make a deck. What is the area of the deck?
11 ft
5,
3 ft
10 ft
A. 112.5 square feet
B. 87.5 square feet
C. 120 square feet
D. 95 square feet

Answer: 5.1

Step-by-step explanation:

use SOHCAHTOA

so its y/8  = cos(50)

y= cos(50) x 8

y = 5.1

Hope this helps!!

The formula for finding the area of any regular polygon if you know the length of one side and the apothem: A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothem.

Answer:

a.) Money left = $1

b) No

Step-by-step explanation:

Given - You have $15. It costs $ to ride each ride once,

To find - a. How much money do you have left if you ride each ride once?

              b. Do you have enough money to ride each ride twice? Explain.

Proof -

As it is not given in the question that, how much cost to ride each ride once.

Let us assume that,

The cost for each ride = $2

Total rides  = 7

Now,

Total money we have = $15

a.)

Given, cost for 1 ride = $2

⇒ Cost for 7 rides = 7×$2 = $14

∴ Money left =  $15 - $14 = $1

b.)

Given,

Cost for 1 ride = $2

Cost of 1 ride if we ride twice = 2×$2 = $4

Cost of 7 rides if we ride twice = 7×$4 = $28

As $28 > $15

So, we cannot ride each ride twice.

The the fewest number of tire rotations is 42 to travel the entire distance of the driveway.

It is given that the driveway that is 200 feet long and the tire diameter is 18 inches.

It is required to find the fewest number of tire rotations a tire will make to travel the entire distance of the driveway.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

Driveway length = 200 feet

Diameter of the tire = 10 inches

For converting it to feet divide by 12.

Now the diameter of tire = 18/12 = 1.5 feet

Radius of the tire = 0.75 feet

We know the perimeter of the circle:

[tex]\rm P = 2\pi r[/tex]

P = 2(π)(0.75)

P = 4.71 feet   ( π =3.14 and P = 0.75)

[tex]\rm number \ of \ tire \ rotations = \frac{Driveway \ length}{Perimeter \ of tire}[/tex]

[tex]= \frac{200}{4.71}[/tex]

Number of tire rotation = 42.462 ≈ 42

Thus, the the fewest number of tire rotations is 42 to travel the entire distance of the driveway.

Learn more about circle here:

brainly.com/question/11833983

Answer:

9.55 cm

Step-by-step explanation:

A quadrant of a circle is 1/4 of a circle.

Since the curved edge is 15 cm, a full circle would be 60 inches.

60/Pi = diameter

diameter = 60/3.14 = 19.11 cm

diameter/2 = radius

radius = 19.22/2 = 9.55 cm which is the length of a straight edge.

Answer:

1. Gh is congruent to Gh. Hf is congruent to HL. Gf is congruent to GL. Angle G is congruent to angle G. Angle h is congruent angle h. Angle F is congruent to angle L.

2. Cb is congruent to Jk. Bd is congruent to KL. Cd is congruent to JL. Angle c is congruent to angle j. Angle b is congruent to angle j. Angle d is congruent to angle L.

3. Wx is congruent to Dc. Xy is congruent to Cy. Wc is congruent to Dy. Angle w is congruent to angle d. Angle c is congruent to angle x. Angle y is congruent angle y.

Tip: Label the statement 1 , 2, 3 and do the same to the other one. It will make your life so much easier.

Alternate interior angles are congruent. so ∠3 = ∠6 -------> by alternate interior angles.

________________

Hope this makes sense!

-Lexi

Answer:

59.85

Step-by-step explanation:

The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 70

σ is the population standard deviation = 7

z = -1.45

Hence:

-1.45 = x - 70/7

Cross Multiply

-1.45 × 7 = x - 70

-10.15 = x - 70

x = -10.15 + 70

x = 59.85

Answer:

i need points sry i needa ask a question

Step-by-step explanation:

Answer:

x= 73

y= 13

Step-by-step explanation:

The sum of the angles opposite the exterior angle = the exterior angle so

x= 141-68

x= 73

The angle sum of a triangle= 180.

180-68-73= 39

since there are 3 "y"s we need to divide 39 by 3

39/3= 13

Answer:

25

Step-by-step explanation:

it can carry 25 packs of shingles because

1 ton = 2000 ponds

and 80 can go into 2000 25 times

hope this helps!

Answer:

I dont know lol...........

Answer:

Number of boys who attended the community service event = 10

Step-by-step explanation:

Let [tex]x[/tex] denotes number of girls and [tex]y[/tex] denotes number of boys.

Twenty-six students attended the community service event.

So,

[tex]x+y=26[/tex]

The number of girls was 4 fewer than twice the number of boys.

[tex]x=2y-4[/tex]

Put [tex]x=2y-4[/tex] in [tex]x+y=26[/tex]

[tex]2y-4+y=26\\3y=26+4\\3y=30\\y=10[/tex]

So,

Number of boys who attended the community service event = 10

9514 1404 393

Answer:

  r = 120t/(120-t)

Step-by-step explanation:

Multiply by the denominator, isolate r terms, then divide by the coefficient of r.

  [tex]t=\dfrac{120r}{r+120}\qquad\text{given}\\\\t(r+120)=120r\qquad\text{multiply by $(r+120)$}\\\\120t=120r-tr\qquad\text{subtract $tr$}\\\\\dfrac{120t}{120-t}=r\qquad\text{divide by the coefficient of $r$}\\\\\boxed{r=\dfrac{120t}{120-t}}[/tex]

Answer:

Step-by-step explanation:

First factor the polynomials and reduce the fractions.

Answer:

D

Step-by-step explanation:

To find Tan of something, the equation if TOA

T = tan

O = opposite

A = adjacent

so

TOA = tan C = [tex]\frac{opposite} {adjacent} \\[/tex]

tan c = [tex]\frac{24} {7}[/tex] or 24/7

Answer:

d is the correct answer

Step-by-step explanation:

d is the correct answer

Answer:

a. The width of the rectangle is x-2cm

b. length is 21.5 cm and breadth is 19.5cm

c. area is 419.25 cm sq.

Step-by-step explanation:

Let the length be x and the breadth be x-2

perimeter = 84 = 2(l+b) = 2×(x+x-2)

2×(2x-2)=84

4x-2 = 84

4x = 86

x= 86/4

x= 21.5

length is 21.5 and breadth is 21.5-2 = 19.5

area = l×b

= 21.5 ×19.5

= 419.25cmsq.

hope it helps

Answer:

46 1/2 *5.00

232.5 = $232.50

Step-by-step explanation:

The man's basic wage for the week is A = $ 192.50

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The man's basic wage for a 40 hour week is $160.00. This means that his hourly rate is:

$160.00 / 40 hours = $4.00 per hour

For the overtime hours, he is paid $5.00 per hour. So, for the 6 1/2 hours of overtime, he will earn:

6.5 hours x $5.00/hour = $32.50

On simplifying the equation , we get

To find his total wage for the week, we need to add his basic wage to his overtime pay:

Total wage = Basic wage + Overtime pay

Total wage = $ 160.00 + $ 32.50

Total wage = $ 192.50

Therefore, the man's wage for that week is $ 192.50

Hence , the equation is A = $ 192.50

To learn more about equations click :

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Answer:

3

Step-by-step explanation:

15*1/5= 3

Answer:

can't see the question ⁉️

Answer:

i think your answer would be 12

Step-by-step explanation:

there are 12 dots, so 12 robots were built

hope this helps! have a nice day!

Answer:

1/3= 137.51 so b

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\alpha =\frac{l}{r}[/tex]

alpha are the angle in radian.

l= lenght of de arc=12cm

r=radius=5cm

[tex]\alpha =\frac{12}{5} \\\\[/tex]

Converting the radian angle to degrees:

α--->θ

π--->180°

θ=(180°*α)/π

using the fact that: α=12/5

θ=(180°*12)/5

θ=432°/π

θ=137,5098°

θ=137,51°

Answer: d) 60

Step-by-step explanation:

so two numbers a+b=90 and also a-b=30

Lets assume a is the larger number. So we can plug and chug for time purposes I will explain why 60 is the answer. so 60-30=30 so b would be 30 and a would be 60. Also a+b or 60+30= 90 and that is the case the smaller number is 30 and the larger number is 60

Answer:

[tex] \purple { \bold{ a_{10}=161414428}}[/tex]

Step-by-step explanation:

Given sequence is: 4, 28, 196, 1372

28/4 = 7

196/28 = 7

1372/196 = 7

Since, the ratio of any two consecutive terms is same, so it is a geometric sequence.

Therefore,

Common ratio r = 7

First term a = 4

nth term of a geometric sequence is given as:

[tex]a_n=ar^{n-1} \\ \\\implies \\ \\ a_{10}=4.7^{10-1} \\ \\ a_{10}=4.7^{9} \\ \\ a_{10}=4.7^{9} \\ \\ a_{10}=4(40353607) \\ \\ \red{ \bold{ a_{10}=161414428}}[/tex]

Answer:

there is two solutions to that problem. you can find x is equal to two numbers.