Mathematics High School

The diagonals of a rectangle have length 12 and intersect in a 40 degree angle. Find the length and width rounded to the nearest tenth.

Answers

Answer 1

Answer:

Length is 7.7 and width is 9.2

Step-by-step explanation:

The length and width of the rectangle will be the y and x coordinate of the diagonal line at angle of 40 degrees

Length L = dsin theta

Width W = d coos theta

d is the length of the diagonal

Given

d  = 12

theta = 40°

Substitute

Length = 12sin40°

Length = 12(0.6428)

Length = 7.7135

Length ≈ 7.7

Width = 12cos 40

Width = 12(0.7660)

Width = 9.192

Width = 9.2

Hence the length is 7.7 and width is 9.2

Related Questions

Pls help!!!

1. Solve for w
21+2w=p
Answer will be w=-L+p/2


2. Solve for a
b-2a=c
The answer will be a=c-b/-2 or b-c/2

I know I have the answers but I need the work for it I’ll mark you brainliest

Answers

i can help but where’d the L come from in number 1

here 2 though.

b-2a=c
subtract b from both sides which gives you -2a=c-b
divide both sides by -2 to get a alone which gives you a=c-b/-2

Can someone please help?!?!?!?!

Answers

Slope = Rise of y (up or down) / run of x (left or right)
So 160/200 equates to 4/5
The slope is 4/5

10-x≤35 someone help me how tot explain this to someone

Answers

Answer:

e

Step-by-step explanation:

A package designer wants the hexagonal base of a hat box to have an area of

about 200 in.2. About how long is each side?

Answers

Answer:

About 9inches long

Step-by-step explanation:

Area of a hexagon = 3√3/2 a²

a is the length of each side

Given

Area of the hexagon = 200in²

Substitute

200 = 3√3/2 a²

200×2 = 3√3 a²

400 = 3√3a²

a² = 400/3√3

a² = 400/5.196

a² = 76.982

a = √76.982

a = 8.774

Hence the length of each side is about 9inches long (to nearest inches)

Help I will be marking brainliest!!!

A. 241 ft
B. 358 ft
C. 258 ft
D. 341 ft

Answers

Answer:

c. is the correct answer

mark me as brainlist

Please help !!!!!! thanks

Answers

Answer:

an american football field measures 100 yards long between the endzones,and is 53 1/3 yards wide.is the length of the diagonal across this field more or less than 120 yards . what is the value rounded to the nearest tenth of a yard

Step-by-step explanation:

To solve, you need to use Pythagorean Theorum

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2

square root

= 113 1/3 yards

So it is less than 120 yards

PLZZ HALPMMELOL PLZZ it’s due 20 min

Answers

Answer: They ate 5/8 of the salad

Step-by-step explanation: If you have 3/8 and add 2/8 you don't have to change the denominator, so you just add the numerators together.

Step-by-step explanation:

they ate 5/8 salad

3/8+ 2/8 = 5/8

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful.

ahhhhhhhhhhhhhhh why why why please help

Answers

Answer:

11

3

-3

-12

Step-by-step explanation:

Answer:

1) 11

2) 3

3) -3

4) -12

Amy plays video games for exactly 20 minutes each day for two months. If each month had 31 days, how many minutes will she play video games?

Answers

Answer:

620

Step-by-step explanation:

please help me

find the value of x
x=​

Answers

Answer:

180-120+x-5+x+5=180

60+2x=180

2x=120

x=60

X=60 is the answer ....!!!!!!

PLZ HELP ME I NEED THE ANSWER ASAP

Answers

answer:

153.94cm²

Step-by-step explanation:

<3

Solve for x: 7x + 3 =2x +13

Answers

Answer:

x = 2

Step-by-step explanation:

7x + 3 = 2x + 13

Get all the x on the same side: 7x - 2x = 13 - 3

Subtract: 5x = 10

Divide both sides by 5 to get x = 2.

Plug the found value of x back in to check the answer: 7(2) + 3 = 2(2) + 13

Multiply: 14 + 3 = 4 + 13

Add: 17 = 17

This verifies that x = 2.

Step-by-step explanation:

[tex]7x+3=2x+13\\7x-2x=13-3\\5x=10\\x=2[/tex]

Which of x- values are solutions to the following inequality?​

Answers

Answer:

A and B

Step-by-step explanation:

54 , 89

Plz help me with my math

Answers

Answer:

D I believe

Step-by-step explanation:

if it's going by negative values and positive values then -6 is the lowest and 9 is the highest

Answer:

D

Step-by-step explanation:

Least to greatest means from smallest to largest in simple terms.

So, -6, -4, -2, 2, 5, 9

what is the slope intercept form of the equation of the line shown in the graph​

Answers

Answer:

y=2x+1

Step-by-step explanation:

complete the description of how to model -4x + 6 = 23

you would use a _______ negative a variable tiles and _______ +1- tiles on one side of a line and ______ +1 - tiles on the other side to represent the equation negative -4x + 6 = 23 with algebra tiles.
HELP ME ASAP WITH THIS MATH QUESTION PLEASE!​

Answers

Well I will put an example but the easiest way

Expanding-

When u ex and

need help it is math

Answers

Answer:

what do u need my guy 0899

Answer:

The mean is 82.727272727273 rounded 83

Step-by-step explanation:

You add all the numbers:

40 + 75 + 80 + 80+ 81 + 84 + 88 + 90 + 92 + 100 + 100= 910

You divide that result by the total of numbers to add, in this case 11

910/11= 82.727272727273

To round any number, consider that if it is 5 or above it you can round it to the nearest hundred.

Just in case

MODE: 100, 80

MEDIAN: 84

Use the distributive property to write an equivalent and simplified expression 12(3y+x)

Answers

36y+12x


I nneeesdd 20 characters

What is f(3) if f(x) = - 4x+1 ?
A.-44
B.-11
C. 1/2
D. 13

Please help me! :/

Answers

Answer:

Here is the equation:

f(x)=4x+1f(x)=4x+1

You need to find f(3). To do that, substitute all the x's with 3:

f(x)=4x+1 \rightarrow f(3)=4\times3 + 1f(x)=4x+1→f(3)=4×3+1

The first thing you need to do is multiply 4 by 3. Multiply:

4 \times 3 = 124×3=12

Here is your new equation:

f(3)=12+1f(3)=12+1

To get your answer, you need to add 12 and 1. Add:

12+1 = 1312+1=13

That means:

\bf f(3)=13f(3)=13

Step-by-step explanation:

13 is the ans


how many more pairs of parallel sides does a regular octagon have than a regular octagon have than a regular hexagon

Answers

A regular hexagon has 3 pairs of parallel sides. A regular octagon has 4 pairs of parallel sides. Hope this helps :))

(6,3) -> (-3/2x , 2/3y) -> (x + 6 , y - 4) -> (2/3x , -3/2y)
After these series of transformations, what will the final point be?

Answers

Answer:

Please refer to the attached image.

Suppose a city with population 200,000 has been growing at a rate of ​4% per year. If this rate​ continues, find the population of this city in 11 years.

Answers

Answer:

288,000

Step-by-step explanation:

You find 4% of 200,000 which is 8,000. Then you multiply 8,000 by 11 and then add it to 200,000.

how many square feet of outdoor carpet will we need for this hole​

Answers

Answer:

42 ft²

Step-by-step explanation:

First of all, who makes a hole in this shape?

Anyways,

You're going to want to split the figure into multiple different shapes. We already have a triangle, so I would split the remaining shape into a rectangle and trapezoid.

We can find the area of the triangle easily with the equation 1/2(bh)

So

1/2(2 · 3)

1/2(6)

3

So the triangle is 3 ft²

Now we can find the area of the rectangle.

The measurements will be 3 and 7. It's just base x height so it'll be 21 ft²

Finally the trapezoid.

Base 1: 6

Base 2: 3

Height: 4            (11-7)

Formula: 1/2h (b1 + b2)

1/2 · 4 (6+3)

2(9)

18 ft²

Now just add them together:

3+21+18=42

Hence, your answer is 42 ft²

6. Belle wants to find out the average of her test scores in Algebra. What is her average test score if she did 95, 88, 93, 80, 78, 82?​

Answers

Answer:

86

Step-by-step explanation:

add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86

I believe the answer is 86

Add all the numbers then divide the sum by 6

Use the Law of Sines to write an expression that represents angle measure x.

Answers

Answer:

  x° = arcsin(15.5/26.9×sin(73°))

Step-by-step explanation:

The law of sines tells you the sine of an angle is proportional to the length of the opposite side:

  sin(x°)/15.5 = sin(73°)/26.9

  sin(x°) = (15.5/26.9)sin(73°) . . . . . multiply by 15.5

Using the inverse function, we can find x.

  x° = arcsin((15.5/26.9)sin(73°))

A recipe for cookies calls for 23 of a cup of sugar per batch. Elena used 513 cups of sugar to make multiple batches of cookies. How many batches did she make?

Answers

Answer:

I don't know, sorry sweetie

Step-by-step explanation:

You do the work yourself x

Rewrite the equation y - 3 = 23(x - 2) in standard form.
Write your answer using integer coefficients.

Answers

Answer:

I believe it would be y-3=23x-2

solve this please pleaee maths question pleade​

Answers

son is 17 mother is 41

a bag of trail mix is 4lbs. by weight, 36% is oats.

what is the weight of the oats in the trail mix?

Answers

Answer:

1.44 lbs is from the oats

Step-by-step explanation:

Convert 36% to a decimal by dividing by 100, = 0.36

Multiply that by the 4 lbs of trail mix.
4 x 0.36 = 1.44 lbs

PLEASE HELP :)))

triangle similarity theorem

Answers

Answer:

9i

Step-by-step explanation

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