How to do this question

How To Do This Question

Answers

Answer 1

Answer:

Length of the shorter diagonal is 8.68 cm.

Step-by-step explanation:

Length of the side AB = 11 cm

Length of side BC = 5 cm

Angle between these sides, m∠ABC = 50°

By cosine rule in ΔABC,

AC² = AB² + BC² - 2AB.BC.cos B

AC² = (11)² + 5² - 2(11)(5)cos50°

AC² = 121 + 25 - 70.71

AC = √(75.29)

AC = 8.68 cm

By the property of parallelogram,

m∠B + m∠C = 180° [Interior consecutive angles]

50° + m∠C = 180°

m∠C = 130°

Similarly, In ΔBCD,

BD² = BC² + CD² - 2BC.CD.cos130°

BD² = (5)² + (11)² - 2(5)(11)cos130°

BD² = 25 + 121 + 70.71

BD² = 216.71

BD = 14.72 cm

Therefore, length of the shorter diagonal will be 14.72 cm.

How To Do This Question

Related Questions

What is equivalent to 1 1/2

Answers

Answer:

1 1/2 is equal to 1.5.

Step-by-step explanation:

1/2 converted is .5.

A half of 1 is .5 or 1/2.

Answer: 1 1/2 is equal to 1.5.

Bridget, Jim and Krutika share some sweets in the ratio 5:2:4. Bridget gets 40 sweets. How many did Krutika get?

Answers

Answer:

Krutika gets 32 sweets

Step-by-step explanation:

Let the number of sweets be x

Bridget= 5x sweets

Jim= 2x sweets

Krutika= 4x sweets

5x= 40; x= 40/5; x=8

Krutika gets 4x= 4×8

Krutika gets 32 sweets

An almond butter jar label says that it has 30% more almond butter for the same price. Brett knows that the jar is usually 10 ounces, and he wants to find out how much more almond butter is in the larger jar.

Answers

Answer:3

Step-by-step explanation: .03 X 10

How many equivalent fractions can I make in order to be the same answer to 2/3

Answers

Answer:

Technically there's an infinite number of equivalent fractions for 2/3 but to list a few 4/6, 6/9, 8/12, 12/18, 18/27.

Step-by-step explanation:

Hope this helps!

-MoCKEry

Find the product. 4x^3y(-2x^2y)

Answers

(4x + 3y)² =

(4x)² + 2 (4x) (3y) + (3y)² =

16x² + 24xy + 9y²

What is x - 9.9 = 2.1 what is x

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

x - 9.9 = 2.1

+ 9.9 to both sides

x = 12

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Stay Brainly! ヅ    

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。☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

X = 12

Step-by-step explanation:

X - 9.9 = 2.1

Add 9.9 to both sides

X - 9.9 + 9.9 = 2.1 + 9.9

Simplify

X = 12

The triangle shown below has an area of 24 units^2 squared. Find the missing side.

Answers

Answer:

x = 6

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

24 = 1/2 (8)x

24 = 4x

Divide each side by 4

24/4 = 4x/4

6 =x

The length and breadth of a rectangular shaped plot is 1215 m and 527 m respectively. Find its perimeter.

Answers

Answer:

3484m

Step-by-step explanation:

Perimeter of a rectangle= 2(L+B) where L= Length and B= Breadth

Length of the plot= 1215m

Breadth= 527m

∴ Perimeter of the plot= 2(1215m+527m)

                                       = 2(1742m)

                                       = 3484m

Hope this helps!!!

You are stacking wooden blocks (cubes) whose sides are all 1 1/4 inches how many blocks do you need to stack or build a block tower that is 7 1/2 inches tall

Answers

Answer: You need to stack 6 blocks to build the block tower.

Step-by-step explanation:

Hi, to answer this question we simply have to divide the tower's height (7 1/2) by the side length of the cubes (1 1/4).

Mathematically speaking:

7 1/2 ÷1 1/4 = (7x2+1) /2 ÷ (1x4+1)/4 = 15/2 ÷ 5/4 = (15x4) / (2x5) = 60/10 =6 cubes

You need to stack 6 blocks to build the block tower.

Feel free to ask for more if needed or if you did not understand something.

Solve the equation.
5x + 8 - 3x = -10
x = -9
x = -1
оооо
X = 1
O x= 9

Answers

Answer:

x = -9

Step-by-step explanation:

5x + 8 - 3x = -10

Combine like terms

2x +8 = -10

Subtract 8 from each side

2x+8-8 = -10-8

2x = -18

Divide each side by 2

2x/2 = -18/2

x = -9

the answer is x=-9!!!

Find the diameter of each circle.

Answers

Answer:

Diameter Length: ( About ) 5.4 km; Option B

Step-by-step explanation:

~ Let us apply the Area of the Circle formula πr^2, where r ⇒ radius of the circle ~

1. We are given that the area of the circle is 22.9 km^2, so let us substitute that value into the area of the circle formula, solving for r ( radius ) ⇒ 22.9 = π * r^2 ⇒ r^2 = 22.9/π ⇒ r^2 = 7.28929639361.... ⇒

radius = ( About ) 2.7

2. The diameter would thus be 2 times that of the radius by definition, and thus is: 2.7 * 2 ⇒ ( About ) 5.4 km

Diameter Length: ( About ) 5.4 km

If a dress costs $27.00 when it is on sale for 10% off, what is its original cost?

Answers

29.07 if I’m not mistaken

What is important to keep in mind when selecting a sample?
a. The sample should be chosen based on specific criteria, such as the youngest students in the class.
b. The sample should be chosen at random so that it is fair.
c. The sample should consist of every person in the population being studied.
d. The sample size should always be exactly one person or piece of data.

Answers

Answer: b. The sample should be chosen at random so that it is fair.

Step-by-step explanation:

One of the most important things when selecting a sample is that the sample must be totally random if the sample is not random (for example, selecting only the youngest people in a group or things like that) there is a high probability that the sample will be biassed towards something, so the study may not be really accurate for all the population.

The correct option is b. The sample should be chosen at random so that it is fair.

What is an equation of the line that passes through the points (6,0) and (−1,−7)

Answers

Answer: y= 1x - 6

Step-by-step explanation:

(6,0)   (-1,-7)

0-(-7)= 7

6-(-1)= 7

7/7= 1  so the slope is 1 and we just need to find the y-intercept and we will do that by using the formula y= mx +b

-7= 1(-1) + b

-7= -1 + b

+1   + 1

b= -6    so the y-intercept is -6.

Answer:

y= 1x - 6

Step-by-step explanation:

just got it right!!: )

Dylan invested $7,200 in an account paying an interest rate of 2.3% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 12 years?

Answers

Answer:

$9,481.01

Step-by-step explanation:

The formula for compound amounts is

A = P(1 + r/n)^(nt), where n is the number of compounding periods per year, t is the number of years, P is the initial amount invested and r is the annual interest rate as a decimal fraction.

Here,

A = ($7,200)(1 + 0.023/4)^(12*4)

Evaluating this we get:

A = ($7,200)(1.00575)^48, or

A  = ($7,200)(`1.3168) = $9,481.01

Answer:

9,481.01

Step-by-step explanation:

Grace has $81 in her bank account and deposits $68 per month into her account. Jasmine has $53 and deposits $75 per month into her account. Enter the number of months it will take for both Grace and Jasmine to have the same amount of money in their accounts.

Answers

Answer:

4 months

Step-by-step explanation:

Let the number of months that they deposit into their accounts be m.

Grace has $81 in her bank account and deposits $68 per month into her account. This means that after m months, she will have:

81 + 68m

Jasmine has $53 and deposits $75 per month into her account. This means that after m months, she will have:

53 + 75m

To find the number of months it will take for them to have the same amount, we equate the amount that they each have:

81 + 68m = 53 + 75m

Collect like terms and simplify:

81 - 53 = 75m - 68m

28 = 7m

=> m = 28 / 7 = 4

It will take 4 months for them to have the same amount.

I broke my laptop sorry about the spots

Answers

Answer: [tex]3x^2-x+3[/tex]

Step-by-step explanation:

[tex](4x^2-x+6)-(x^2+3)[/tex]

Distribute the negative sign. This basically changes all the signs inside the parentheses.

[tex]4x^2-x+6-x^2-3[/tex]

Combine like terms;

[tex]3x^2-x+3[/tex]

Find the surface area of the prism. 10m 15m 16m 17m 17m

Answers

is it a rectangular prism

PLEASE PLEASE PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

1) Perpendicular

2) Parallel

3) Neither

4) Neither

Step-by-step explanation:

Answer:

1. Perpendicular

2. Parallel

3. Neither

4. Neither

Step-by-step explanation:

Perpendicular lines intersect at 90 degree angles

Parallel lines are lines that are straight and don't meet.

Card 1 has a current balance of $8,312.69 with an APR of 24.16%, and the credit limit on the card is $10,000.

Card 2 has a current balance of $1,180.34 with an APR of 21.15%, and the credit limit on the card is $7,500.

In your own words, tell which credit card you should focus on paying off first and why?

Be sure to include the credit card AND the reason for paying that card off first.

Answers

Answer:

The focus should be on paying off Card 1 first

Step-by-step explanation:

The credit limit for card 1 is $10,000,invariably the cardholder only $ 1,687.31  

($10,000-$8,312.69) to reach its limit,hence available balance to draw from and also the annual percentage rate is higher for card card 1.

For every balance in card 1, the cardholder pays 24.16% APR annually compared to 21.15% applicable to card,as a result,card is cheaper.

Besides,the cardholder still has an available credit of $ 6,319.66  

($7,500-$1,180.34) on card 2 which comes at a lower APR

Which pair of symbols shows the correct signs for allordered pairs that are located in Quadrant II

Answers

Answer:

Quad II's Symbols are (-, +)

Step-by-step explanation:

                                  |

   Quad 2                  |          Quad 1

                                  |

                                  |

_______________________________

                                  |

       Quad 3              |        Quad 4

                                  |

                                  |


A regular hexagon and a regular octagon are joined as shown on the diagram

Work out the size of angle x

Answers

Answer:

x = 105°

Step-by-step explanation:

The shape above is a regular hexagon and a regular octagon the both of them have the same interior angle through out. For a polygon to be regular all it interior angle are the same .

sum of interior angles of a polygon = (n - 2)180°

where

n = number of sides

Therefore,

sum of interior angle of a hexagon = (6 - 2)180

sum of interior angle of a hexagon = (4)180

sum of interior angle of a hexagon = 720

each angle of a regular hexagon = 720/6 = 120°

sum of interior angles of an octagon = (8- 2)180

sum of interior angles of an octagon = (6)180

sum of interior angles of an octagon = 1080

each angle of a regular octagon = 1080/8 = 135°

All the angle around a point add up to 360°. So if we take the interior angle from 360° we will get angle x

360 - (135° + 120°)

360 - 255

x = 105°

Answer:

105

Step-by-step explanation:

Dreg earns $6.80 per hour. On Saturday he worked from 9:00 A.M.
to 3:30 P.M. How much did he earn?

Answers

Answer:

$44.20

Step-by-step explanation:

First, calculate how many hours he worked. From 9:00am-3:30pm he worked 6.5 hours. We're going to multiply the hourly rate, $6.80 by how many hours he worked. Since he also worked an extra half hour and not a full hour we're going to divide $6.80 by 2. Then add both of the calculations up to get the asnwer.

6.8(6)=40.8

6.80/2=3.4

40.8+3.4=44.2

He earned $44.20.

A marble is selected at random from a jar containing 4 red marbles, 5 yellow
marbles,and 3 green marbles. What is the probability that the marble is red?

Answers

Answer:

The answer is 1/3

Step-by-step explanation: 4/12 simplified is 1/3 since you can divide both top and bottom by 4

The probability that the marble chosen at random from the bag is red is  1/3.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the marble is red = total number of red marbles / total number of marbles

4 / 12 = 1/3

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ2

Answer should be in Polynomial in standard form.
(x-3)(x-4)

Answers

X^2-7x+12 because when you distribute its
X*X +
(X*-4)+(x*-3) +
-3*-4

Answer:

x² - 7x + 12

Step-by-step explanation:

(x - 3)(x - 4)       FOIL

x²- 4x - 3x + 12     Combine like terms

x² - 7x + 12

Mrs. Kramer bought some markers at the school supply store, including 8 black
markers. 80% of all the markers she bought were black
How many markers did Mrs. Kramer buy in all?
A -28
B-10
C-20
D-16

Answers

im pretty sure its D :) sorry if im wrong!!

Answer:

The answer is 10

Step-by-step explanation:

Multiply this problem 2/7 x 21

Answers

Answer:

6

Step-by-step explanation:

2/7 times 21 equals 6. Next time, don't ask as a brainly question and use calculator so you don't waste/lose your points.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

What will the height of the liquid be in the new cylinder?

Answers

Answer:

4 cm

Step-by-step explanation:

[tex]36\pi=\pi \cdot 3^2 \cdot h\\h=4[/tex] centimeters

Hope this helps!

Someone please help me

Answers

Step-by-step explanation:

-12.6x - 4.9x = -154

-17.5x = -154

17.5x = 154

x = 154/17.5

x = 8.8

#CMIIW

*WILL GIVE BRAINLIEST*
annabelle collected data on the favorite superhero of the students in her class. the table shows the relative frequencies of rows for the data collected:
*picture attached above*

based on the data, which superhero is most likely to be the favorite?

a.) superman
b.) spiderman
c.) batman
d.) wonder woman

Answers

Answer:

B - Spider-Man

Step-by-step explanation:

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