Tthe diagonals of a rectangle are twice as long as the shorter sides. calculate the angle between a diagonal and a short side.

Answers

Answer 1

Answer:

30°

Step-by-step explanation:

Let the length of shorter side of rectangle be x units.

Therefore, length of diagonal = 2x

In order to calculate the angle between a diagonal and a short side, we need to find the sin ratio of shorter side and diagonal of rectangle.

Let the measure of angle formed between shorter side and diagonal be [tex] \theta [/tex].

[tex] \therefore \sin \: \theta = \frac{x}{2x} \\ \\ \therefore \sin \: \theta = \frac{1}{2} \\ \\\therefore\sin \: \theta = \sin \: 30 \degree \\ ( \because \: \sin \: 30 \degree = \frac{1}{2}) \\ \implies \: \huge \red{ \boxed{\therefore\theta = 30 \degree }}[/tex]


Related Questions

33/(20-9)
33 divided by (20-9) I need help

Answers

Answer: 3

Steps:

33/(20-9)

33/11

3

Answer: 3

Step-by-step explanation:

To solve, we need to use algebraic properties.

[tex]\frac{33}{(20-9)}[/tex]               [parenthesis]

[tex]\frac{33}{11}[/tex]                     [divide]

3

Find the values of x is 1/x + 1/x+2 undefined?

Answers

Answer: if x = O in the denominator of the first term or if x = -2 in the second term, the results are undefined.

Step-by-step explanation: If the denominator of a fraction is 0 there is no number that solves it because it is impossible to divide by zero.


Help ASAP pllllllllllsssssssssssssssssss

Answers

Answer:

15

Step-by-step explanation:

multiply the 6 by 3 and get 18, so do the same for the top, so 5 x3 = 15

Explain how to find the LCM of 8 and 10

Answers

Answer: Start by listing the first five multiples of each number. Then circle the common multiples. Finally, identify the least of these common multiples. The LCM of 8 and 10 is 40.

Step-by-step explanation:

Answer:

Start by listing the first five multiples of each number. Then circle the common multiples

Step-by-step explanation:

Steve is recording the temperature of an object on Celsius and Fahrenheit scales. Relationship between the two scales is given by F = 1.8 ⋅ C. Steve will plot the Celsius readings along the y-axis and the Fahrenheit readings along the x-axis.
True or false?

Answers

Answer: FALSE

Step-by-step explanation:

I got this question wrong. So the 50% is not right. Please help.

Answers

Answer:

25%

Step-by-step explanation:

sorry if its wrong but im pretty sure its 25%

the answer is 3/8

give me a brainliest

Solve for E.

h=E/mg​

Answers

Answer:

hmg = E

Step-by-step explanation:

Step 1: Write equation

h = E/mg

Step 2: Multiply both sides by mg

hmg = E

Find two consecutive even integers such that four times the first equals three times the second

Answers

Answer:

1st: 2x

2nd: 2x+2

--------

Equation:

4(2x) = 3(2x+2)

-------

8x = 6x + 6

2x = 6

x = 3

-----

1st 2x = 6

2nd: 2x+2 = 8

Step-by-step explanation:

The two consecutive even integers such that four times the first equals three times the second is 6 and 8.

What is an integer ?

An integer is a number which has no decimal part.

According to the given question we have to find two consecutive even integers such that four times the first equals three times the second.

Let, the first even integer to be x.

∴ The second integer will be (x+2).          [ As every consecutive even                                                                                    

                                                                            integers comes after 2 digits]

Now, Four times the first equals three times the second which is

4x = 3(x+2)

4x = 3x + 6.

4x - 3x = 6

x = 6.

∴ The even integer is 6 and the second integer is 8.

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Can you please help

Solve: 4 + x/7 = 2

Answers are:

-14
10
12
42

Answers

X=-14 because I did it before

Please help. BRAINLIEST TO BEST ANSWER

Answers

It’s B
I’m sure of it

Answer:

b

Step-by-step explanation:

we have the point

[tex](2,-4)[/tex]

so when

x=2

y=4

so we can try on all equations

[tex]y_1=2|x-2|-4\\\\y_1=2|2-2|-4\\\\y_1=2|0|-4\\\\y_1=0-4\\\\y_1=-4[/tex]

so equation 1 could be

[tex]y_2=\frac{1}{2} |x-2|-4\\\\y_2=\frac{1}{2}|2-2|-4\\\\y_2=\frac{1}{2}|0|-4\\\\y_2=0-4\\\\y_2=-4[/tex]

so equation 2 could be

[tex]y_3=2|x+2|-4\\\\y_3=2|2+2|-4\\\\y_3=2|4|-4\\\\y_3=8-4\\\\y_3=4[/tex]

so equation 3 is not

[tex]y_4=\frac{1}{2}|x+2|-4\\\\y_4=\frac{1}{2}|2+2|-4\\\\y_4=\frac{1}{2}|4|-4\\\\y_4=\frac{1}{2}(4)-4\\\\y_4=2-4\\\\y_4=-2[/tex]

so equation 4 is not

So another point that we have is

[tex](0,-3)[/tex]

so we plug in

[tex]y_1=2|x-2|-4\\\\y_1=2|0-2|-4\\\\y_1=2|-2|-4\\\\y_1=4-4\\\\y_1=0[/tex]

so this isn't

[tex]y_2=\frac{1}{2}|x-2|-4\\\\y_2=\frac{1}{2}|0-2|-4\\\\y_2=\frac{1}{2}|-2|-4\\\\y_2=\frac{1}{2}(2)-4\\\\y_2=1-4\\\\y_2=-3[/tex]

so the answer is b

Which statement is true about this equation? y=-3x^2+4x-11 A. It represents a function only. B. It represents both a relation and a function. C. It represents a relation only. D. It represents neither a relation nor a function.

Answers

Answer:

For plato users, the answer would be letter C.

Step-by-step explanation:

A.

It represents neither a relation nor a function.

B.

It represents a relation only.

C.

It represents both a relation and a function.

D.

It represents a function only.

This equation represents both a relation and a function.

Took the test, hope this helps!

B. It represents both a relation and a function.

Is every relation also a function?

Note that both functions and relations are defined as sets of lists. In fact, every function is a relation. However, not every relationship is a function. In a function, there cannot be two lists that disagree on only the last element.

Which graph of a relation is also a function?

Given the graph of a relation, if you can draw a vertical line that crosses the graph in more than one place, then the relation is not a function. This is a function. Any vertical line will cross this graph at only one point.

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Find the perimeter of the shape below. Show your work!! Use 3.14 as an approximation for pi. Round solution
to nearest hundreth.
12 cm
7 cm​

Answers

Answer:

The perimeter of the shape below is 44.48cm

Step-by-step explanation:

To calculate the perimeter of this figure we have to add

7cm + 12cm + 7cm + ( perimeter of semicircle)

To calculate the perimeter of the semicircle we have to use the following equation

d = 12cm

r = d/2 = 12cm/2 = 6cm

c = perimeter of semicircle

r = radius = 6cm

π = 3.14

c = π * r

we replace with the known values

c = * 3.14 * 6cm

c = 18.84cm

The perimeter of the semicircle is 18.84cm

Now that we have this value we can calculate the perimeter of the figure

7cm + 12cm + 7cm + ( 18.84cm ) = 44.48cm

The perimeter of the figure is 56.84 cm

What is the area of the rectangle?

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here: A semicircle on top of the rectangle with dimensions 12, 7 cm respectively .

Thus perimeter of the figure = perimeter of semi circle+ perimeter of rectangle

∴ 3.14×6+2(12+7)=56.84 cm

Hence, The perimeter of the figure is 56.84 cm

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The length of a rectangle is twice the width. The perimeter is 48in. Find the dimensions of the rectangle.

Answers

perimeter = p
length = l
width = w

p = 2l + 2w

p = 48
l = 2w
w = ?

now plug those values into the base equation (p = 2l + 2w)

48 = 2(2w) + 2w
then solve for w
48 = 4w + 2w
48 = 6w
w = 8

because l is 2w, find the length using the width value (8)

l = 2w = 2(8) = 16

SO

length = 16 in
width = 8 in
perimeter = 48 in

Answer:

w = 6in

l = 12in

Step-by-step explanation:

To solve this problem we propose 2 equations

2w + 2l = 48in

l = 2w

We replace the value of l = (2w) into the first equation and solve

2w + 2(2w) = 48in

2w + 4w = 48in

6w = 48in

w = 48in/6

w = 8in

we replace the value of w and solve

l = 2(8in)

l = 16in

what is the domain?
what is the range?
what is g(0)?
what is g(x)3?
what is the max value?
is g(x) continuos or discrete?
what is the y intercept?
how many x intercept does g(x) have?​

Answers

G has 2 intercepts and y is 5

2. Calculate your total variable costs for the summer at each price. a. 35 lawns per weekx 12 weeks x $24.25 variable cost = b. 20 lawns per weekx 12 weeks x $24.25 variable cost = c. 5 lawns per weekx 12 weeks x $24.25 variable cost =​

Answers

Answer:

Total variable costs for the summer at each price:

a. = $10,185

b. = $5,820

c. = $1,455

Step-by-step explanation:

a. 35 lawns per week x 12 weeks x $24.25 variable cost

= 35 * 12 * $24.25

= $10,185

b. 20 lawns per week x 12 weeks x $24.25 variable cost

= 20 * 12 * $24.25

= $5,820

c. 5 lawns per week x 12 weeks x $24.25 variable cost

= 5 * 12 * $24.25

= $1,455

d. The variable cost, as can be seen from above, changes based on the volume of activity or production.  The number of lawns influenced the cost, since the other indexes are the same in each case.

Daniella is celebrating her birthday by inviting her friends to the movies. At the early show, she can buy tickets
for $5 each and she plans on spending $20 on snacks. If y is the total cost she will spend, write an equation that
matches this situation.

Answers

Y=5x+20, x would be her friends and 20 would be for the snacks

Answer:

y=5x+20

Step-by-step explanation:

is the population of cats on another island whose cat population was originally 11,000 but is doubling every 14 months. (t is time in months.)

Answers

Answer:

P = 11,000(2)^t/11

Step-by-step explanation:

The formula is given as:

P = Po(2)^t/d

Where

Po = Initial population = 11,000

t = time in months

d = doubling time = 11 months

Hence,

P = 11,000(2)^t/11

Hence, the population of cats is given by the equation:

P = 11,000(2)^t/11

(a) Reuben runs 12 miles in 96 minutes.
How many miles does he run per minute?
miles per minutes?

Answers

Answer:

0.125 miles per minute

2 bracket 2x-2 bracket=12

Answers

x = 4

my reasoning: I did 12 divided by the 2 on the outside of the brackets to get 6. Then I knew the equation inside the brackets would have to equal six. Then I multiplied different numbers by 2 and subtracted 2 from the product. I came up with x = 4. Therefore, 2x4=8, 8-2=6, and 6x2=12.

helpooo pleaseeee and thank youu

Answers

k is the midpoint of ab

K is the midpt. of AB.

Its in the middle of AB so its the midpt.

Complete the sentences to make true statements 6 is 100 times 0.06 is 10 times 60 is 1/100 of

Answers

Answer:

6 is 100 times 0.06

0.06 is 10 times 0.006

60 is 1/100 of 6,000

Step-by-step explanation:

Since 6/100 is equal to 0.06, we can say that 6 is the result of multiplying 0.06 by one hundred (0.06 x 100 = 6).

On the other hand, since 0.06 / 10 is equal to 0.006, it is correct to say that 0.006 x 10 is equal to 0.06 (0.006 x 10 = 0.06).

Finally, 60 is one hundredth of 6000, since multiplying 60 x 100 the result is 6,000 (6,000 / 100 = 60).

3) Find the total cost of a $14.50 movie with a 30% markup.

Answers

Answer:

18.85

Step-by-step explanation:

Round to the nearest ten thousand: 324,799 pls help I dont know how 2 right it​

Answers

Answer:

It is 300000...........

Answer:

300,000+20,000+4,000+700+90+9

Step-by-step explanation:

Your welcome!!

Mr. Josey is tasked with cutting the grass this weekend. He can cut 1/4 of the yard in 20 minutes. How long will it take to cut the entire yard?

Answers

Do 20 times four because 1/4 of the yard is 25 percent.
Meaning it would take him 20*4= 80 minutes
or 1 hour and 20 minutes to cut the whole yard.

Write 1,762 in scientific notation.
A. 1.762 x 10>4
B. 1.762 x 10>3
C. 17.62 x 10>3
D. 17.62 x 10>1

Answers

Hey there!☺

[tex]Answer:\boxed{1.762\times10^3}[/tex]

[tex]Explanation:[/tex]

1,762 in scientific notation would be written like this:

[tex]1,762\times10^3[/tex]

Hope this helps!

Answer:

B

Step-by-step explanation:

A company was able to increase its staff from 127 employees to 204
employees. What was the percentage increase in staff? Round your
answer to the nearest tenth.

Answers

The percentage increase in staff was 60.6%.

I NEED HELP ASAP
A square and a rectangle are modeled below. The perimeter of both shapes is equivalent. Create
the equation and solve for x.

Answers

Answer:

let side of square= x

breadth of rectangle= side if square= x

length of rectangle= y

perimeter of both are equal, so

4x= 2(y+x)

4x= 2y+2x

2x=2y

x=y

4 boxes of candy costs $ 10. How much
would 14 boxes of candy cost?

Answers

Answer:

14 boxes of candy would cost $35

Step-by-step explanation:

First find the unit price. It is $2.50 per box. Next multiply it by 14. It is $35 for 14 boxes of candy.

I hope this helped and have a great day.

(Please vote this the brainliest)

Sita Rahim drove due north for 3 hours at 46 miles per hour. From the
same spot, Yasmina Young drove due south for 2 hours at 43 miles per
hour. How far apart were they after their trip?

Answers

Answer:

224 miles

Step-by-step explanation:

What you would do is take the 3 hours times the 46 mph to get 138 miles.

3*46=138

Next, multiply the 2 hours by the 43 mph to get 86 miles.

2*43=86

Lastly, you're going to add the two.

138+86=224 miles.

HELP! Due in 10 mins! Pls I rlly need this!!!

Answers

B, 12.6 because on the chart in the “f” column, next to -4.5 is 12.6
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