Mathematics High School

7. The short sides of a parallelogram are both 12.0 cm. The acute angles

of the parallelogram are 65°, and the short diagonal is 15.0 cm.

Determine the length of the long sides of the parallelogram. Round

your answer to the nearest tenth of a centimetre.


Please help explain this question

Answers

Answer 1

The length of the longest side of the parallelogram is 14.7 cm.

We have,

Let's denote the length of the long sides of the parallelogram as L.

In a parallelogram, the opposite sides are congruent, so both long sides have the same length.

The Law of Cosines states:

c² = a² + b² - 2ab cos(C)

Where:

c is the length of the side opposite the angle C,

a and b are the lengths of the other two sides,

C is the measure of the angle opposite side c.

The short sides of the parallelogram are 12.0 cm, and the acute angle is 65°.

Applying the Law of Cosines to find the length of the long side:

[tex]L^2 = 12^2 + 12^2 - 2 * 12 * 12 * cos(65)\\L^2 = 144 + 144 - 288 * cos(65)\\L^2 = 288 - 288 * cos(65)\\L = \sqrt{(288 - 288 * cos(65))}\\L = 14.7 cm[/tex]

(rounded to the nearest tenth of a centimeter)

Thus,

The length of the longest side of the parallelogram is 14.7 cm.

Learn more about parallelograms here:

https://brainly.com/question/1563728

#SPJ4

Related Questions

Can someone help me out please.

Answers

Answer:

area = (10 x 19) - (0.5 x 19 x 5) = 142.5 in²

Step-by-step explanation:

Answer:

142.5 in^2

Step-by-step explanation:

Area of trapezoid= a + b  / 2 · h         (a and b are bases of the trapezoid)

A= 5 + 10 / 2 · 19

A= 15 / 2 · 19

A= 7.5 · 19

A= 142.5 in^2

This is just one way to do it. There are many more ways.

I NEED HELP WITH MATH PLS
screenshot is posted below

Answers

Answer: The correct answer is A or B

`

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRANLIEST

Sarah is self-publishing her 300-page novel and wants to estimate the printing costs.

Answer the questions to estimate the cost of printing a 300-page paperback book.

1. What is the y-intercept for the trend line? What is the real-world meaning of this point?

2. One point on the trend line is (200, 6). Using this point and the y-intercept, find the slope of the trend line. Show your work.

3. What is the real-world meaning.of the slope?

4. Use the slope and y-intercept to write an equation for the trend line in slope-intercept form.

5. Use your equation to estimate the cost of printing Sarah's 300-page book.​

Answers

1. Y-intercept b=5

That means it has a 5.00 starting fee.

2. Using the formula (Y2-Y1)/(X2-X1) we will find the slope between the two points.

Point one (X1 and Y1) will be the Y-intercept.

X1,Y1 = (0, 5.00)

Point 2 (X2 and Y2) will be the point on the trend line.

X2, Y2 = (200, 6.00)

Plug in:

(6.00 - 5.00)/(200 - 0) = 00.5 or 1/200.

3. When printing 200 pages each page will cost $.005.

4. .005x+5

5. .005x+5

.005(300)+5=6.5

good luck♡♡!!

Find the distance between the points (–10,3) and (–2,3).

Answers

Answer:

8

Step-by-step explanation:

10 - 2

Please help! I don't know where to start

Answers

Answer:

First find the sum of 15 n-1

Step-by-step explanation:

then you can continue to 2n-1

The graph shown is a scatter plot:

A scatter plot is shown with the values on the x-axis in increasing units of 1 and the y-axis in increasing units of 10. The data moves in an upward cluster. Point A has coordinates 8 and 70. Point B has coordinates 1 and 20, point C has coordinates 3 and 40, point D has coordinates 7 and 30. Additional points are located at 2 and 10, 2 and 20, 3 and 30, 5 and 50, 5 and 40, 7 and 70, 7 and 60.
Which point on the scatter plot is an outlier? (4 points)

Group of answer choices

Point D

Point B

Point C

Point A

Answers

you’re answer is b.
i did this already

Answer:

D

Step-by-step explanation:

if we see on the graph, the point which is scattered is point D !
also took the FLVS test!!

if ur lucky u get 25 points!

Answers

Answer:

What do you mean lucky?

Answer:

Yes

Step-by-step explanation:

A polygon has vertices at (-1,1), (1,1), (1,-1) & (-1,-1) what is the perimeter in units of the polygon

Answers

Answer:

8

Step-by-step explanation:

PLEASEEE EEEEENSDNN’SJSJ I STG PLEASE HELP ME

Answers

Rhombuses and parallelograms are always quadrilaterals, having four sides.

However, they both don't always have equal side lengths, although sometimes they do.

I hope this helps ^^

I don’t understand this

Answers

Answer:

It is plugging it the 36pye

Step-by-step explanation:

h = 36pye

what it wants you to do is plug that into all the numbers

so it be

2 x 36pye (you get it for the next one)

for the fraction ones it would

be divding 36pye by the number on the bottom

Determine the projection of u=1.6i+3.3j in the v=-2.1-.5j direction.

A.8i+.2j

B.2.3i+.5j

C. -.6i-1.3j

D. -1.2i-1.1j

Answers

Answer:

[tex]0.80i +0.2j[/tex]

Step-by-step explanation:

The projection of u on v is expressed as;

[tex]proj_{v} u = \dfrac{u*v}{|v|^2} * v[/tex]

Given

u=1.6i+3.3j

v=-2.1i-.5j

u*v = (1.6i+3.3j )*(-2.1i-0.5j )

u*v = 1.6i(-2.1i) + 3.3j(-0.5j)

u*v = -3.36 - 1.65

u*v = -5.01

|v|² = (√(-2.1)²+(-0.5)²)²

|v|² = (-2.1)²+(-0.5)²

|v|² = 4.41+0.25

|v|² = 4.66

Substitute into the formula;

[tex]= \frac{1.71}{-5.01} * (-2.1i - 0.5j)\\= -0.3413 (-2.1i - 0.5j)\\= 0.8i + 0.17j\\= 0.80i +0.2j[/tex]

The price of calculator is increased from R150 to R174.What is the percentage increased​

Answers

Answer:

16%

Step-by-step explanation:

(174-150)/150= 0.16

0.16*100 = 16%

Can someone help me with this. Thank you.

Answers

Answer:

All are true

Step-by-step explanation:

2) True

3) True

4) True

All the answers are true

What is the slope of the line graphed in this grid? Help.

Answers

Answer:

A slope of 2/3

Step-by-step explanation:

if you look at the line, starting at the y axis, then just count up 2 and over three, in other graphed lines, just start at the y axis and try to find where the line crosses a specific point, then calculate the rise/run.

What is the product of (3y^-4)(2y^-4)?

Answers

Answer:

6/ y^8

Step-by-step explanation:

The answer is 6/y^8

HELP ASAPPPPP WHAT IS THE ANSWER

Answers

Answer:

point j is .55 because its .55

Step-by-step explanation:

I think it’s 9/20 sorry if incorrect

i need help the test is time and i have 5 min left can y'all pls help pls

Answers

Answer:

divide the figure into two parts.

area of square = side²

area of square =12²

area of square =144

area pf trapezium =1/2×(a+b)×h

area of trapezium =1/2×(12+6)×12

area of trapezium =108

area of polygon=144+108=252 unit²

For 2 + 5(x-3) > 3x + 11, the answer is x>

Answers

Answer:

x >12

Step-by-step explanation:

2 + 5(x-3) > 3x + 11

Distribute

2 + 5x - 15 > 3x+11

Combine like terms

5x -13 > 3x+11

Subtract 3x from each side

5x-13-3x> 3x+11-3x

2x-13 > 11

Add 13 to each side

3x-13+13> 11+13

2x> 24

Divide by 2

2x/2 > 24/2

x >12

what is m (angle) 2 if m (angle) 4 = 120°?​

Answers

Answer:

if 4 is 120° then 2 is also 180° since they are opposite angles.

9. Find x. Round answer to nearest whole number.
A) 58
B) 59
C) 60
D) 61

Answers

Answer:

the answer. is 60 because you round of 64

Please help!!!!! 8th grade mathHint not A

Answers

Answer:

c

Step-by-step explanation:

it passes vertical line test and is linear

Answer:

C

Step-by-step explanation:

The answer is C. Hoped it helped.

hi hottie, pls help me !
Mrs. St. Louis purchased an iPhone 12 Pro. The decreasing value of her phone, after t years, is modeled by the function V(t)=1,200(0.65)^t
Fill in the numbers from the options to correctly complete the statements interpreting this function.
The phone initially cost $______
The value of the phone is depreciating at a rate of _____ % each year.

Answers

Answer:

1200

0.65

The answers are in the function

I need help with this plssss
Expert plsss help meeeee

Answers

Answer: 350

Step-by-step explanation:

Answer:

1,283 m3

Step-by-step explanation:

Ok so the volume formula is:

V = π×r² × h/3

π (pi) = 3.14

² = power of two so that number times that number

Example:

3² = 3 × 3 = 9

To find the radius since the diameter is given divide by 2:

14 / 2 = 7

Next we solve the equation:

V = 3.14 × 7² × 25/3 = 1282.817

To round to the neareast whole number 1,283

PLEASEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPP

Answers

Dont press that persons link! Ok im not sure if this is the correct answer, but anyways.

85 + x = 131
-85. -85
x= 46

Aidan bought a pizza cut into 5 slices. If he ate one slice for lunch, what percentage of the pizza remained uneaten?

Answers

Answer:

80%

Step-by-step explanation:

You started of with 5/5 once one slice was eat it became 4/5

you must then convert 4/5 into a percent

To convert a fraction to a percent, divide the numerator by the denominator. Then multiply the decimal by 100.

so 4 divided by 5 =0.8

0.8 x 100= 80

80%

trish wants to buy x oranges and y mangoes which she intends to carry in her bag. Her bag has space for only 6 fruits. Write an inequality to represent this information.

Answers

Answer:

x + y [tex]\leq 6[/tex]

Step-by-step explanation:

The amount of Oranges (x) and the amount of Mangoes (y) will add up to be less than or equal to 6.  

This condition is represented by the inequality x + y ≤ 6

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

In this case, Trish wants to buy x oranges and y mangoes, and she intends to carry them in her bag.

Her bag can hold a maximum of 6 fruits.

Since she wants to buy both types of fruit, the total number of fruits must be less than or equal to 6.

The inequality to represent this situation is:

x + y ≤ 6

This inequality represents that the sum of the number of oranges and mangoes Trish buys should be less than or equal to 6, which is the maximum number of fruits her bag can hold.

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ3

Write the percent as a fraction and as a decimal.

5% tax

Fraction (simplified) -
Decimal -​

Answers

Your answer is 0.05 because if you put 0.5 that is .50

Answer:

Fraction = [tex]\frac{1}{20}[/tex] and Decimal = 0.05

Step-by-step explanation:

Percent means, some number over a hundred.

in this case we have 5%

[tex]\frac{5}{100} = \frac{1}{20}[/tex]

and for decimal form we just move the decimal 2 places to the left because our denominator is a 100 and we get 0.05.

A cube. Point B is the top right point of the top face. Point A is the bottom left point of the bottom face and point C is the top right point of the bottom face. Diagonals are drawn from B to A and from A to C. Side B C is 10 inches long, and Side A B is StartRoot 300 EndRoot inches long. What is the length of Side A C? 14 in. StartRoot 200 EndRoot in. StartRoot 290 EndRoot in. 20 in.

Answers

Answer:

the answer is b

Step-by-step explanation:

i just did the assignment

Answer:

b

Step-by-step explanation:

HELP PLEASE 50 POINTS
expression with its simplified form.

Answers

A fraction is in simplest form if the top and bottom have no common factors other than 1. In other words, you cannot divide the top and bottom any further and have them still be whole numbers.

Find the Surface area of the following figure below

Answers

Answer:

495

Step-by-step explanation:

Base area = 11*11 = 121

Lateral area = (11*4)*17/2 = 11*2*17 = 374

121+374=495

And pyramid consists of 4 triangles and 1 square. To find the surface area of the figure you need to find the area for those shapes. The formula for area for those shapes are.
Triangle area is A = 1/2*B*H (B meaning base and h meaning height)
Rectangle area is A = L * W (L meaning length and W meaning width)
So the you have triangles with a base of 11 and height of 17 so 11*17*(1/2). That value times 4 because there are 4 of them so you get. 374 meters^2
Then you have the rectangle which is 11*11 so 121 add that to 374 and you get 495 meters^2 so the surface area is 495 meters^2 if I did it correctly.
Other Questions
(Click the picture)What is the source of energy that will send the arrow flying toward the target?A- The archers ability to aim correctly B- The arrows distance from the groundC- The springiness of the bow D- The time it takes to release the bow how do hydrogen fuel cells and fossil fuels produce energy? Two identical charged pith balls are brought together to touch each other. They are thenallowed to move freely. The charge on pith ball A is 30 nC and on pith ball B is 5 nC.What is the charge on each after they separate? 7. Mrs. Paulson is constructing a 90% confidence interval for the difference of means based on independentsimple random samples from two populations. The sample sizes are n, = 6 and n, =14. She draws dotplotsof the sample data to check one of the conditions for using two-sample i procedures. Which of the followingdescriptions of those dotplots would suggest that it is safe to perform inference?(a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.(b) Both dotplots are roughly symmetric. The dotplot of sample 2 has an outlier.(c) Both dotplots are strongly skewed to the right. There are no outliers in either dotplot.(d) Both dotplots are roughly symmetric. Both dotplots have one upper outlier(e) i procedures are not recommended in any of these cases. HELP ASAP I WILL GIVE BRAINLIESTWhich of the following can be measured?radiichordscircumferencediametersyou can choose more than one answers What is 3/4 of 32What is 3/8 of 64What is 3/8 of 32Answer for 10 points and Brainliest. A woman borrows $ 6,000 at 12% compounded monthly, which is to be amortized over 3 years in equal monthly payments. For tax purposes, she needs to know the amount of interest paid during each year of the loan. Find the interest paid during the first year, the second year, and the third year of the loan. [Hint: Find the unpaid balance after 12 payments and after 24 payments.] what were the political, economic and social impact of the great depression on texas Write a letter to chairman of your local government area complain about problem of transportation in your area. How does the force of gravity and the force of earth contribute to africa's poverty? An apparent difference between what is said or promised and whathappens or is true.*Tet OffensiveVietnamizationCredibility GapWar Powers Resolution Draw a plane intersecting a cube to get the cross section indicated. rectangleOA OB OC OD a) Work out the size of angle x.100Bb) Give reasons for your answer.co-exterior angletoFG How is a typhoon formed? which term describes a pure substance that made up of only one type of atom Can someone help out? No BS please. In North America, people are mainly concentrated a.along the coast around the great lakes b. along the east coast and southern california c.in the northeast d. primarily up the center of the continent. Find the probability of exactly twosuccesses in five trials of a binomialexperiment in which the probability ofsuccess is 50%.Round to the nearest tenth of apercent. Are birds likely to take refuge in a nest or in the sky? PLEASE ACCTUALY HELP :