A rectangle has sides of length 8cm and 3.2cm. Calculate the angle between the diagonal and a shorter side.

Answers

Answer 1

Answer:

The angle is 68.2 degrees

Step-by-step explanation:

Let us have the shorter side as the width

In that case, the opposite will be the length which is 8 cm

The diagonal is the hypotenuse

The short side is the adjacent

The trigonometric ratio that links the opposite and the adjacent is the tan

tan of an angle is the ratio of its opposite to the adjacent

In this case,

tan theta = 8/3.2

theta = arc tan (8/3.2)

theta = 68.2 degrees


Related Questions

what is the diagonal of a solid square. each side is 7.

Answers

Answer:

9. 89

Step-by-step explanation:

A squared + B squared = C squared

7 squared + 7 squared = 98 squared

Find the square root of 98 (I recommend using a calculator)

You should get 9.89 as an answer.

Evaluate the sum from n equals four to ten of quantity five n plus two.

202
207
254
259

Answers

Answer:

The answer is D. 259

Step-by-step explanation:

Step 1: [tex]\sum _{n=4}^{10}5n+2[/tex]

Step 2: [tex]\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2[/tex]

Step 3:

[tex]\sum _{n=1}^{10}5n+2=\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2\\\sum _{n=1}^{10}5n+2=295[/tex]

[tex]\sum _{n=1}^35n+2=\sum _{n=1}^35n+\sum _{n=1}^32=36\\[/tex]

Step 4: [tex]295-36=259[/tex]

can you find the area for this?

Answers

Answer:

I think it's C) 18.5ft^2

it's just an educated guess though I haven't worked on area in a while

Answer:

[tex]18.5ft^{2}[/tex]

Step-by-step explanation:

[tex]A=(5*2.1)+(.5*2*5)+(.5*1.2*5)=18.5ft^{2}[/tex]

what is this angle? plz help

Answers

Answer:

56 degrees

Step-by-step explanation:

a straight angle is 180 degrees so you subtract 180 and  124 and get 56

Answer: 56 degrees

Step-by-step explanation:

Line AD is supplementary, therefore subtracting 180 from 124 is 56 degrees.

Brainiest help

Harry and Luna together ate 56 Chocolate Frogs. Harry ate 6 more Chocolate Frogs than Luna. How many Chocolate Frogs did Luna eat?

Answers

Answer: 25 chocolate frogs eaten by Luna

Step-by-step explanation:

let the amount of chocolate frogs eaten by Luna = x

and the amount of chocolate frogs eaten by Harry = 6+ x

Such that total a,mount of chocolate frogs eaten by both of them

= x +( 6+x) = 56

Step 2- Solving

x+6+x=56

6 + 2x= 56

2x= 56-6

2x= 50

x= 50/2

x= 25

x= 25 chocolate frogs eaten by Luna

6 +x= 6+ 25= 31 chocolate frogs eaten by Harry.

Charlotte needs to order some new supplies for the restaurant where she works. The restaurant needs at least 535 glasses. There are currently 321 glasses. If each set on sale contains 20 glasses, write and solve an inequality which can be used to determine s, the number of sets of glasses Charlotte could buy for the restaurant to have enough glasses.

Answers

Answer:

sadafsa a a a a a aa. a heehehwhwhwh hehehheeheheh im going to bed ehehebbebeeb for al jfdjskalsm or worse expelled harry potter

need help. PLEASE! I dont understand ​

Answers

Briana is wrong. The 2 line cannot be parallel since their slopes are not the same. The slope of one line is 2 and the slope of the other is 2.5.

The other student is right. Just replace (9, 21.5) in both equations and it will satisfy both equation.

Sign out Fred's bedroom has an area of 54 square feet. The bedroom is 6 times as many square feet as Fred's closet. If the closet is 3 feet wide, what is the length of the closet?

Answers

Answer:

3 feet

Step-by-step explanation:

Area of bedroom = 54 square feet.

Area of closet = Area of bedroom / 6= 54/6= 9 square feet.

Area = length * breadth

9 =  length *3

length = Area/ width

length = 9/3= 3 feet.

As the bedroom is having 6 times the area of the closet we will divide the area of the bedroom by 6 to get the area of the closet ( 54/6= 9) . Area is obtained by multiplying the length and the breadth so we have the width which 3 feet , we divide the area with the width ( 9/3= 3) to get the length = 3 feet.

Conserve Tree Foundation is trying to increase the number of trees in a region that has suffered deforestation. It plants a certain number of trees each year, resulting in a linear growth model, y1 = 5t, where t represents the time that has passed in years and y1 represents the number of trees planted. In the same region, the number of trees remaining, y2, is inversely proportion to the time elapsed, t. This is represented by . The graphs of the two equations are shown.

Answers

The answer will be 4

Need help ASAP plz
What is the slope of (1,4) (7,2)

Answers

Answer:

3 or 3/1

Step-by-step explanation

the equation for finding the slope when given two coordinate pairs is (y₂ - y₁)/(x₂ - x₁), aka change in y over change in x.

pick one of your coordinate pairs to be y₂ and x₂. it doesn't matter which coordinate pair you choose. the remaining coordinate pair will be your y₁ and x₁.

for this example, i'll use the coordinate pair (7, 2) as my y₂ and x₂ and (1, 4) as my y₁ and x₁.

first, substitute the x-value and y-value from the first coordinate pair.

(y₂ - y₁)/(x₂ - x₁) ⇒ (7 - y₁)/(2 - x₂)

then substitute the y-value and x-value from the remaining coordinate pair.

(7 - y₁)/(2 - x₂) ⇒ (7 - 4)/(2 - 1)

subtract 7 - 4.

(7 - 4)/(2 - 1) ⇒ (3)/(2 - 1)

subtract 2 - 1.

(3)/(2 - 1) ⇒ (3)/(1) or 3/1

simplify.

3/1 ⇒ 3

i hope this helps! have a great day <3

pls help me with this multiple choice !

Answers

Answer:

C

Step-by-step explanation:

[tex] \sin(30) = \frac{y}{32} \\ y = 16 \\ \cos(30) = \frac{x}{32} \\ x = 16 \sqrt{3} [/tex]

Alex wrote the equation y = 2x + 3 to describe a tile pattern. Use his equation to complete the table. how would you graph it​

Answers

this is what I have found, hope this helps!!!

Kayla made a full pot of coffee she poured out 52 ounces she now has 18 ounces left how many ounces were in a full pot of coffee

Answers

x=52+18 so there is 70 oz in a full pot

What is the value of x ?
Enter your answer in the box.

Answers

Answer:

43.8

Step-by-step explanation:

find the perimeter of WXYZ

Answers

Answer:

40 but see below.

Step-by-step explanation:

You have to assume that the figure is a parallelogram. That is never a safe assumption, but you have to make it because there is nothing else you can do.

That being the case, to get the perimeter, you just add the sides. If say well y could be just about any value with some limitations, you would be correct.

Per = 12 + 12 + 8 + 8 = 40

43x34x7x34x21x32 please help me i really need an answer

Answers

Answer:

233826432

Step-by-step explanation:

If using the method of completing the square to solve the quadratic equation x^2-13x+14=0, which number would have to be added to "complete the square"?

Answers

Answer:

169/4

Step-by-step explanation:

Take the coefficient of the x term.  Here it's -13.  Now halve that, obtaining -13/2.  Finally, square this result.  We get 169/4.  This is the desired number.

x^2 - 13x + 169/4 - 169/4 + 14 = 0

7,21,63
what’s the common ratio, recursive function, explicit formula, and the 12 term

Answers

Answer:

See explanations below

Step-by-step explanation:

The given sequence 7,21,63... is geomertic in nature

The nth term is expressed as;

Tn = ar^n-1

a is the first term = 7

r is the common ratio = 21/7 = 63/21  = 3

n is the number of terms

Substitute

Tn = 7(3)^n-1

For the 12th term, when n = 12

T12 = 7(3)^12-1

T12 = 7(3)^11

T12 = 7(177,147)

T12 = 1,240,029

Hence the 12th terms is 1,240,029

For the recursive function

First term = 7(1)

2nd term T2 = 21 = 7(3)

3rd term T3 = 63 = 7(9) = 7(3^2)

Tn = 7(3^n)

Hence the recursive function is 7(3^n)

I really need help??

Answers

I think is... 4/3.........
4/3 sorry if wrong the person above me I think is correct

What is the value of the missing angle ? HELPPP PLSSS

Answers

Answer:

The angle of a straight line is 180 degrees.

180 degrees-71 degrees=109 degrees

Step-by-step explanation:

How many gallons of milk containing 1% fat is mixed with milk containing 4% fat to obtain a 15 gallon mixture
containing 2% fat?

Answers

Answer:

5%

Step-by-step explanation:

milk dont have fat but it contains 5% of milk

An equation is different from an expression because it has...

Answers

Answer:

Because it bears an equal sign

Expressions don't have a definite solution to the problem.

PLEASE HURRY AND ANSWER

Answers

the second option! they are reciprocals
The top answer is correct

Mafhvjfifjdfjujufugjfdu5\6 + 3\4 = ?

Answers

5/6 and 3/4 don’t have the same denominator so you have to change it to 10/12 and 9/12 to get them to be equivalent then add them together and get 19/12 simplify and get 1 7/12!
19/12 i think I’m not sure.

what is the initial value of the function:
f(x)=3/2(2)^x

Answers

Answer:

the initial value -- f(0) -- results in a value of 1.5

Step-by-step explanation:

f(0) = [tex]\frac{3}{2}[/tex] · [tex]2^{x}[/tex]     (any value raised to the power of zero equals one)

f(0) = [tex]\frac{3}{2}[/tex] · 1

f(0) = 3/2 or 1.5

It’s NONE. You can use symbolab

Draw a ring around the point which does not lie on the line y = 3x + 2 * 1 point (100, 302) (2, 8) (0, 4) (9, 29)

Answers

Answer:

(0,4)

Step-by-step explanation:

Given the line equation:

y = 3x + 2

Given the points :

(100, 302)

x = 100 ; y =302

302 = 3(100) + 2

302 = 300 + 2

(2, 8)

8 = 3(2) + 2

8 = 6 + 2

(0, 4)

4 = 3(0) + 2

4 ≠ 2

(9,29)

29 = 3(9) + 2

29 = 17 + 2

Hey guys please help me!

Answers

Answer: Option 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Because it is

Does the point (4, 25) satisfy the equation y = 7x + –3?

Answers

Answer:

yes,  point (4, 25) satisfies the equation y = 7x + –3

Step-by-step explanation:

to see if the point satisfies the equation, we need to plug in the x coordinate to get y

if y is equal to the y-coordinate, then the point satisfies the equation

if y does not equal the y-coordinate, then the point does not satisfy the equation:

y = 7(4) + - 3

y = 28 + -3

y = 25

does 25 = 25? Yes! so the point satisfied the equation

Answer:

yes

Step-by-step explanation:

7(x)- 3 = y

7(4) - 3 = (y)

28 - 3 = 25

PLease help the question is in the photo

Answers

Bottom right, becasue you have more than 30, and less than or equal to 15 :)

5 times a number increased by 2 is the
same as 8 more than 3 times the number.
Find the number.

Answers

Answer:

Step-by-step explanation: 5*x + 2 = 3*x + 8

5x - 3x = 8 - 2. Which yields. 2x = 6. Therefore, x = 3. QED

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