PLZ HELP ME OUT WITH THIS!!!!!!!!

PLZ HELP ME OUT WITH THIS!!!!!!!!

Answers

Answer 1

Answer:

B. 25√3

Step-by-step explanation:

Use trigonometric ratio formula to find the length and width of the rectangle

Thus:

✔️Length of diagonal:

Reference angle = 30°

Hypotenuse = 10

Let length of rectangle = x = adjacent side

Therefore:

Cos 30° = x/10

10*cos 30 = x

10*√3/2 = x (cos 30 = √3/2)

5√3 = x

x = length of rectangle = 5√3

✔️Width of diagonal:

Reference angle = 30°

Hypotenuse = 10

Let width of rectangle = y = opposite side

Therefore:

Sin 30° = y/10

10*sin 30 = y

10*½ = y (sin 30 = 1/2)

5 = y

y = width of rectangle = 5

✔️Area of rectangle = length * width = 5√3 * 5 = 25√3


Related Questions

what is the are of the figure below

Answers

Answer:

68 inches squared

Step-by-step explanation:

First, the squares:

3*3 = 9

3*3 = 9

9 + 9 = 18

Next, the rectangle inside of the hexagon

3*10 = 30

Finally, the little shapes to the side of the rectangle that we just created:

We can split them into 4 triangles:

1/2(5)*2 = 5

5(4) = 20

Add all the areas up:

18 + 30 + 20 = 68

HELP ASAP PLS THANKS SO MUCH

Answers

Answer:

(-4,1)

Step-by-step explanation:

Multiply first equation by 2

4x+6y=-10

Then subtract with second equation you get:

y=1

So put the value in first equation you get :

2x+3=-5

x=-4

halloween hut ordered 80 boxes with 20 costumes in each box. they also ordered 12 boxes with 90 masks in each box. how many more costumes than masks did they order?

Answers

80x20=1600 costumes
12x90=1080 masks
1600-1080=520
they ordered 520 more costumes than masks. hope this helps!

Dylan is evaluating the expression 13 + 19 + 7 + 10. At one step in his work, Dylan rewrites the equation as 13 + 7 + 19 + 10. Which property of addition must Dylan have used when he evaluated the expression?
associative property
commutative property
distributive property
identity property

Answers

Answer:

1

Step-by-step explanation:

i am not sure but that is what i got.

Answer:

b). Commutative property

Step-by-step explanation:

learning task 5. identify what is asked item below.
1.what number i am between 21 and 31 a multiple of 4 and 7​

Answers

The number 28 is your answer

Five basketball players try to make as many points as possible in each game. They have a mean of 12 points per game. If the first four players score 10, 14, 20, and 8 points each, how many points must the fifth player have made?

a. 20 points
b. 8 points
c. 12 points
d. 10 points​

Answers

I believe it's 12 points if I'm wrong I'm sorry hope this helps

Answer:

12 poibts i think sorry if wrong

Mike purchased a Superman game for $11.01 and a Batman game for $6.93 with a $20 bill. Mike already owns 4 games. How much change did mike get?

Answers

2.06 I think I’m not sure
$ 2.06 change, all you have to do is add the 2 numbers and subtract the answer from 20

A ball is projected vertically upward from the surface of the earth with an initial speed of 49 meters per second. The ball reaches its maximum height in 5.0s. What is the vertical velocity of the ball when it strikes the ground

A. 0 m/s
B. -9.8m/s
C. 49m/s
D.-49m/s

Answers

I believe the answer is choice B

Find an equation for the nth term of the arithmetic sequence. 9, 11, 13, 15...
A. an = 9 + 2(n-1)
B. an = 9 + 2(n+1)
C. an = 9 + 2
D. an = 9 * 2(n)

Answers

Answer:

2n+7

Step-by-step explanation:

find the difference

and see the difference from the 2 Times table to the original sequence

and write it as an equation for this sequence

Answer:

A

Step-by-step explanation:

Find the value of y
A. 8√2
B. 4√2
C. 2√2
D. 4

Answers

Option b is the right answer

Mei runs 92.16 miles in 3 weeks. If she runs 6 days each week, what is the average distance she runs each day? THIS IS DUE IN 10 MINS

Answers

Step-by-step explanation:

Mei runs 6 days each week.

=> Mei runs 18 days in 3 weeks.

Since she ran 92.16 miles in 18 days,

She ran 92.16 miles / 18 days

= 5.12 miles/day.

3 points
6. Find out the missing
quantities in the
questions #2: In a
classroom the ratio of
girls to boys is 2:1. If there
are 24 girls, how many
boys are there? *
O A. 10 boys
O B. 11 boys
O C. 12 boys
OD. 13 boys

Answers

Answer:

12 boys

Step-by-step explanation:

2 : 1 = 24 : 12

the diameter of a cylinder is 8 inches. the height is 12 inches. what is the surface area of the cylinder?

Answers

Answer:

[tex]\boxed{\boxed{\pink{\tt \leadsto The \ Surface\ Area \ is \ 402.28\ in.^3. }}}[/tex]

Step-by-step explanation:

Given that the the diameter of a cylinder is 8 inches. the height is 12 inches. And we need to find its surface area .

Hence here ,

Height = 12 inches Diameter of base = 8 inches

Figure :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4\ in.}}\put(9,17.5){\sf{12\ in.}}\end{picture}[/tex]

[tex]\bf\implies TSA_{Cylinder}= 2\pi r ( r + h) \\\\\bf\implies TSA_{Cylinder} = 2\pi \dfrac{8\ in.}{2} \bigg( \dfrac{8\ in.}{2} + 12 in.\bigg)\\\\\bf\implies TSA_{Cylinder} = 2\pi \times 4 ( 4 \ in.+ 12 \ in.) \\\\\bf\implies TSA_{Cylinder}= 8 \times \dfrac{22}{7}\times 16 in.^3 \\\\\bf\implies\boxed{\red{\bf TSA_{cylinder}= 402.28 in.^3}}[/tex]

Hence the Surface area of the Cylinder is 402.28 in.³ .

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The surface area of the cylinder is 402.124 inches².

What is a cylinder?

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

The surface area of a cylinder is the sum of the area of the base and the lateral area of the curved cylinder.

Given that the diameter of the cylinder is 8 inches, while the height of the cylinder is 12 inches. Since the radius is half the length of the diameter. Therefore, the radius of the given cylinder is 4 inches.

Now, the surface area of the cylinder is,

Surface area of the cylinder = Area of the bases + Area of the curved surface

= 2(πr²) + 2πrh

= 2(π × 4²) + (2 × π × 4 × 12)

= 2(50.265) + 301.5928

= 100.5309 + 301.5928

= 402.124 inches²

Hence, the surface area of the cylinder is 402.124 inches².

Learn more about Cylinder here:

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Find cos θ for θ = 60°

Answers

Question

Find cos θ for θ = 60°

Which expression results from using the Distributive Property? 2(5 + 3r)

Answers

Answer:

6r + 10

Explanation:

2(5 + 3r)

= (2)(5 + 3r)

= (2)(5) + (2)(3r)

= 10 + 6r

= 6r + 10

in 15 minutes, joey rides his bike 2 miles. what the ratio for the number of miles too minute

Answers

Answer:

15:2

Step-by-step explanation:

the ratio is 15:2
———————




PLZZZ HELP ME ITS DUE TODAY AT 11:59, HELPPPP
1: In one year, Jerry lost $1,620 in the stock market. What was the average change in his stocks each months.
2: Devon lost 3 pounds each month for 7 months. What was the net change in Devons weight after the 7 months.

3: In a game, your score starts at 0. You lose four points three times in a row. You then gain two points. What is your score after those four turns?

Answers

Answer:

1) . Divide that number by 12 months

1620/12 = 135

2) 3 x 7 = 21

21 pounds lost

3) 0 - 4 - 4 - 4 + 2 = -10 points

hope this helps :)

Step-by-step explanation:

Answer:

1. 135

2. 21

3.-10

Step-by-step explanation:

What is £11 increased by 2%?

Answers

Answer:

it is 11.22. i hope this helps

12 increased by twice a number is 18. Find the number.

Answers

Answer:

the number is 3

Step-by-step explanation:

lets say the number is n

12+2n=18

2n=6

n=3

Hope it helps

IM IN DANGER OF FAILING PLEASE HELP ME

Answers

Answer:

Scale factor = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Scale factor of the two similar figures is given by the formula,

Scale factor = [tex]\frac{\text{Dimension of image}}{\text{Dimension of Original}}[/tex]

Here, it's given that smaller figure = image

And larger figure = Original

Therefore, scale factor = [tex]\frac{15}{25}[/tex]

                                      = [tex]\frac{5\times 3}{5\times 5}[/tex]

                                      = [tex]\frac{3}{5}[/tex]

Answer: Scale factor = [tex]\frac{3}{5}[/tex]

Find the unit rate.
180 miles in 3 hours

Answers

Answer:

60 miles per hour

Step-by-step explanation:

First, put the equation in a fraction.

You would put 180 up top because people always say miles per hour not the other way around.

You can see the dividing line as your "per" and your "hour" would be the bottom number.  

To find the unit rate, you will divide the numerator (180) and the denominator (3).  

Your final answer should be 60 miles per hour.

[tex]\frac{180}{3} = \frac{60}{1}= 60[/tex]

which equivalent models the data in the table
y equals x minus 3
y = x + 3

y = x + 2
y equals 4X ​

Answers

Y=x+3
Substitute the numbers in the formula

How many times is 5 x 10e 6 larger than 5 x 10e4 ?

Answers

Answer:

100 times

Step-by-step explanation:

10^6 - 10^4 = 10^2

10^2 is 100

Evaluate a^0b^-2 for a=-2 and b=-3

Answers

Step-by-step explanation:

a^0b^-2...place -2 and -3 respectively

(-2^0)(-3^-2)

(1)(1/-3^2)

(1)(1/9)

The mean of first five natural numbers is

Answers

Answer:

Step-by-step explanation:

Mean of first five natural numbers =  sum of first 5 natural numbers ÷ 5

                                         = (1 + 2 + 3 + 4 + 5)÷ 5

                                        = 15 ÷ 5

                                       = 3

Identify the values of the variables. Give your answers in the simplest radical form.

Answers

Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

[tex] sin(60) = \frac{9}{k} [/tex]

Multiply both sides by k

[tex] k*sin(60) = 9 [/tex]

Divide both sides by sin(60)

[tex] k = \frac{9}{sin(60)} [/tex]

[tex] k = \frac{9}{\frac{\sqrt{3}}{2}} [/tex]

[tex] k = 9*\frac{2}{\sqrt{3}} [/tex]

[tex] k = \frac{18}{\sqrt{3}} [/tex]

Rationalize

[tex] k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}} [/tex]

[tex] k = \frac{18\sqrt{3}}{3} [/tex]

[tex] k = 6\sqrt{3} [/tex]

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

[tex] tan(60) = \frac{9}{f} [/tex]

Multiply both sides by f

[tex] f*tan(60) = 9 [/tex]

Divide both sides by tan(60)

[tex] f = \frac{9}{tan(60)} [/tex]

[tex] k = \frac{9}{\sqrt{3}} [/tex]

Rationalize

[tex] k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}} [/tex]

[tex] k = \frac{9\sqrt{3}}{3} [/tex]

[tex] k = 3\sqrt{3} [/tex]

Ben deposited $650 from his pressure washing business into a savings account. The simple interest rate paid by the bank is 3.5%. If Ben makes no deposits or withdrawals, how much interest will he earn in 4 years?

Answers

Answer:

Simple interest of Ben :

[tex] \frac{\$650 \times 3.5\% \times 4years}{100} = \frac{9100}{100} = \$91 \\ [/tex]

Ben earn $91 in 4 years.

I need help ASAP please anybody!! Giving brainliest

Answers

Answer:

I'm pretty sure it's 24

Step-by-step explanation:

2×4=8

8×3= 24

Answer:

24 goals

Step-by-step explanation:

So we know that Jake scored 2 goals in soccer the season and we also know that Jamie scored 4 times as many goals as Jake so what we can do is take 2 and multiply at by 4 to get 8 goals for Jamie.

Now we know that Jamie scored 8 goals so we can do since we know that Edgar scored 3 times many goals as Jamie is take 8 and multiplied by 3 to get 24, so now we know that Edgar scored 24 goals in total.

Your friend solved the
equation 4x + 12x - 6 = 4(4x + 7) and got x = 34.
What error did your friend make? What is the
correct solution?
4x + 12x - 6 = 4 (4x
4 (4x + 7
)
16x
16x + 28
- 166 6 166 16x + 28
x-6=28
x - 6+ 6 = 28 + 6
x = 34

Answers

Answer:

The equation is flawed.

Step-by-step explanation:

4x+12x-6=4(4x-7)

simplifying

16x-6=16x-28

-6 does not equal -28

The equation is flawed.

The required simplified solution of the given expression is given as x = 8.5.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
4x + 12x - 6 = 4(4x + 7)
16x - 6 = 12x + 28
16x - 12x = 28 + 6

4x = 34
x = 8.5

Thus, The required simplified solution of the given expression is given as x = 8.5.

Learn more about simplification here:

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Which measurements could NOT represent the side lengths of a right triangle?
O 8 cm, 15 cm, 17 cm
O 20 cm, 21 cm, 29 cm
O 36 cm, 77 cm, 85 cm
O 7 cm, 28 cm, 32 cm

Answers

Step-by-step explanation:

A. 8 cm, 15 cm, 17 cm => This is a right triangle.

B. 20 cm, 21 cm, 29 cm => This is a right triangle.

C. 36 cm, 77 cm, 85 cm => This is a right triangle.

D. 7 cm, 28 cm, 32 cm => This is not a right triangle.

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