The area of a Rhombus is 60cm² and one of its diagonals is 15cm, then the length of other diagonal is

Answers

Answer 1

The area of a rhombus is give by 1/2 times the product of the diagonals. Therefore:

60cm2=12(d1⋅d2)

where d1 and d2 are the diagonals. Letting d1=15cm and solving for d2 gives d2=8cm.

The two diagonals bisect each other and are perpendicular to each other. Therefore the four triangles created by the diagonals in the rhombus are right triangles. Using the Pythagorean theorem on any of these triangles yields that the sides s of the rhombus are given by

(152 ) 2 + (82)2 = s 2

or s = 172cm.

The perimeter is therefore 4 X 172 = 34 cm.


Related Questions

if medain of 10, 20, x+5,x+10,50,60 is 35 then find x

Answers

Answer:

X = 27

Step-by-step explanation:

10, 20, 32, 37, 50, 60

First things first, take off 10, 20, 50, and 60.

Now, you remain with 32 and 37. Now from here it is simple.

Average of 32 and 37 = 34.83

Round 34.83 to 35

32 averaging 37 (Rounding Terms) ≈ 35

So X is 27

Which coordinate notation matches the description?:
3 units left and 5 units down
O (x+3y-5)
O (X-3.y-5)
O (x+3.y+5)
O (X-3.y+5)

Answers

Answer: The last one

Step-by-step explanation:

3 units left would be -3 and 5 units down would be +5

2/5 x 1 2/3
i know its easy

Answers

Answer:

2/3

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

25×53

Applying the fractions formula for multiplication,

=2×55×3

=10/15

Simplifying 10/15, the answer is

=2/3

Select the symbol that properly compares each pair of numbers:

a. -|-15| ___ -(-15)

• <
• >
• =

b. |-18| ___ -18

• <
• >
• =

c. -|-3| ___ -|3|

• <
• >
• =

d. -|-6| ___ |-6|

• <
• >
• =

Answers

Answer:

a. >

b.<

c.=

Step-by-step explanation:

a product of y2 + 5y + 4?

Answers

Answer:

(y + 4)(y + 1)

Step-by-step explanation:

Given

y² + 5y + 4

Consider the factors of the constant term (+ 4) which sum to give the coefficient of the y- term (+ 5)

The factors are + 4 and + 1 , since

4 × 1 = 4 and sum = 4 + 1 = 5 , thus

y² + 5y + 4 = (y + 4)(y + 1) ← as a product of factors

i mark as brainliest ​

Answers

Answer:

-6.75

Step-by-step explanation:

Answer:

The answer is D. -7.25

Which number is rational, an integer, and a real number?
A. 1.5
B.
C. There is no such nurnber.
D. -5

Answers

Answer:
1.5

Explanation:

Please solve that problem my homework is due ✨

Answers

Answer:

1,100 miles traveled in 2 hours, 3,300 miles in 6 hours

Step-by-step explanation:

if the plane is moving at a constant speed, to find the miles per hour divide the distance traveled over the time (1650/3). this would get you 550 miles per hour. So, to get the distances at the other times multiply the times by the speed to get distance traveled. (2*550) and (6*550)

m² - 9m +8
(Factoring)
show steps

Answers

Answer:

I really dont know sorry love <3

Step-by-step explanation:

Help me please...............

Answers

Answer:

Search it up

Step-by-step explanation:

GO ON GOOGLE sorry i couldnt help :(

Whats the answer to this the domain of the function URGENT!!!!!!!!!!!!!

Answers

Answer:

I think it's d I'm not sure tho

Answer:

B

Step-by-step explanation:

I'm pritty sure it is B hopefully this helps.

What’s the volume of this shape?

Answers

Answer:

V=72x³y³

Step-by-step explanation:

The formula to apply is;

V= l * w * h where

V= volume in units cubed.

l= length = 3xy

w=width = 4xy

h= height = 6xy

Substitute values in the formula as;

V= l*w*h

V=3xy * 4xy * 6xy ----find product for the numbers {3*4*6=72} then multiply by the product for x's {x*x*x =x³} that of y's {y*y*y=y³}

V= 72*x³*y³

V= 72x³y³  --------where xy are the units used.

It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bottles. She notices that they leave about 2 ounces of air every time they fill a bottle, to avoid overfill. How much maple sap did they need to collect to fill 15 bottles? How much less maple sap did they need than if they would have filled each bottle to the top? Express your answer as a negative number.

Answers

Answer:

10,800

-1200

Step-by-step explanation:

Given that :

40 units of maple sap = 1 ounce of maple syrup

Using a 20 - ounce bottle, 2 ounces of air is left

Ounces of actual syrup = (20 - 2) = 18 ounces

Number of maple sap required to fill 15 bottles :

Number of maple saps required to fill 18 ounces bottle :

40 units = 1 ounce

x = 18 ounces

Hence, for 18 ounces of maple syrup :

(40 * 18).= 720 units of maple sap

For 15 bottles of 18 ounces maple syrup:

(720 * 15) = 10,800 units of maple sap

If they had filled each bottle to the top:

(40 * 20 * 15) = 12000 units of maple sap

10,800 - 12000 = - 1200 units of maple sap

David drives 4.8 miles to Musanze and a further 6.7 miles to Gisenyi. Work out how far he drives in total.

Answers

Answer:

11.6 miles

Step-by-step explanation:

Well all u do is add 4.8+6.7=11.5

7 to the 3rd power as a multiplication of factors is

Answers

Answer:

7*7*7

Step-by-step explanation:

7^3=7*7*7

hope this helps

Answer:

7×7×7= 343

Step-by-step explanation:

the answer is 343.

3x² + 22x + 35
Factor the trinomial


Help guys asp!!

Answers

Answer:

(x + 5)(3x + 7)

Step-by-step explanation:

Given

3x² + 22x + 35

Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term

product = 3 × 35 = 105 and sum = 22

The factors are + 15 and + 7

Use these factors to split the x- term

= 3x² + 15x + 7x + 35 ( factor the first/second and third/fourth terms )

= 3x(x + 5) + 7(x + 5) ← factor out (x + 5) from each term

= (x + 5)(3x + 7) ← in factored form

Jeremy is saving up to buy a new video game system. Two weeks ago, Jeremy only had $14.75. He has worked for 26 hours at the local grocery store, where he earns $10.15 per hour. If the video game system costs $400.00, how many more hours must Jeremy work before he can purchase the system?

Answers

Answer:

12 more hours

Step-by-step explanation:

$400 is the cost (LESS) $14.75 that he has already

Total needed is now $385.25

He worked 26 hours at 10.15 = $263.90 that he already has

$385.25-$263.90 = $121.35

$121.35 Divided by his hourly wage of $10.15 = 11.95 (or 12 hours)

Which point is a solution to ys 4x + 5?
O A. (0,10
O B. (-6,4)
O C. (-4,0)
O D. (0-2)

Answers

D - (0,2)

you plug in x and y which gives you -2 < 0+5

next, you add the two numbers in the right side and get 5

the final product should be -2 < 5 ( 2 is less than 5) which is true

hope this helps :)

The quotient of –125 and 5 is
.
The quotient of –264 and –12 is
.
The quotient of 0 and –350 is
.
The quotient of 276 and –8 is
.

Answers

Answer:

1= -25

2=  22

3= 0

4= -34.5

Answer:

1 negative

2 positive

3 zero

4 negative

Step-by-step explanation:

Hope this helps :D

4.3602x10^4 estimate

Answers

Answer:34

4

Step-by-step explanation:

Answer:

43602

Step-by-step explanation:

hope this helps :)

A G.P bulk bills at $36.30 per consultation, and sees a new patient every 12 minutes for 3 hours. A new employee calculates the number of patients and then calculates the medicare bills as follows.
Number of patients:3÷ 0.12=25
Medicare bill: 25x$36.30=907.50
(a)identify and describe the error
(b)recalculate the Medicare bill

Answers

Answer:

$544.5

Step-by-step explanation:

a) 12 minutes is 0.2 hours.

So 3/0.2= 15 patients.

b) 15*36.3= $544.5

-3(2t - 1) = t + t + t + 3

Answers

t = 0

isolate the variable

Answer:

-3(2t - 1) = t + t + t + 3

-6t + 3 = 3t + 3

-6t -3t = 3t - 3t +3

-9t + 3 - 3 = 0

9t = 0

t = 0

Step-by-step explanation:

Is the statement true or false

Answers

Answer:

it is false

Step-by-step explanation:

False


-3 is lesser on the number line so remember "The Alligator" wants the higher number :)

what is the answer if u do x=25(x+4)

Answers

Answer:

-25 over 6 as a fraction or -4 and 1 over 6 as simplified fraction or 4.16 as a decimal

Step-by-step explanation:

hopefully that helps you

Find the total surface area of this cuboid.
5 cm
4 cm
6 cm

Answers

Answer:

e total surface area (TSA) of a cuboid is the sum of the areas of its 6 faces, which is ... 1: Find the total surface area of a cuboid with dimensions 8 cm by 6 cm by 5 cm. ... Example 2: Find the surface area of a cuboid of dimensions 4.8 cm, 3.4 cm ... Example 4: The length, breadth and height of a cuboid are 16cm, 14cm and ...

Step-by-step explanation:

Where's the cuboid? You left it out.

In any case, use the following formula:

SA = 2(front + side + top)

Which ordered pairs make both inequalities true? Select two options.
15142
y 231+1


Answers

Answer: The points C(1,2) and E(2,2) make both inequalities true

Step-by-step explanation:

we have

-----> inequality A

The solution of the inequality A is the shaded area below the dashed line

------> inequality B

The solution of the inequality B is the shaded area above the solid line

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities and the point lie on the shaded area of the solution

Plot the points and verify if lie on the shaded area

Let

see the attached figure

The points C(1,2) and E(2,2) lie on the shaded area

The points A(-1,3) and B(0,2) satisfy inequality B but don't satisfy inequality A

The point D(2,-1) satisfy inequality A but don't satisfy inequality B

therefore

The points C(1,2) and E(2,2) make both inequalities true

A restaurant coffee pot holds 3 gallons of coffee. The pot has been filled with 2 gallons of coffee. If the variable c stands for the amount of additional coffee the pot can hold, which of the following units could apply to that variable?

A. yards
B. pounds
C. gallons
D. bushels ​

Answers

C

Because your weight system is gallons in the rest of the question :)

Answer:

gallons

Step-by-step explanation:

PLS ANSWE PLS NEED HELP ASAP

Answers

Answer:

D. 75

Step-by-step explanation:

Bc they are congruent that means that DAY has angles 60 and 45 so you add them together to get 105 and bc triangles are 180 deg, the last angle is 75 (180-105 = 75)

180-105 = 75. Sorry if wrong

For a given recipe, 12 cups of flour are mixed with 24 cups of sugar. How many cups of sugar should be used if 21 cups of flour are used?


Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x. PLEASE ANSWER THIS QUICK

Answers

Answer:

33 cups of sugar should be used

Step-by-step explanation:

subtract 12 from 21 then add that answer to 24 and you get 33 so 33 cups of sugar should be used

42 cups of sugar should be used if 21 cups of flour are used

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

For a given recipe, 12 cups of flour are mixed with 24 cups of sugar

We need to find cups of sugar should be used if 21 cups of flour are used

Let us consider x as cups  of sugar should be used if 21 cups of flour are used

Let us form an equation to find x

12/24=21/x

Apply cross multiplication

12x=21×24

12x=504

Divide both sides by 12

x=504/12

x=42

Hence, 42 cups of sugar should be used if 21 cups of flour are used

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ2

what's 4 divided by 5 as a fraction ​

Answers

Answer:

four fifths because if you divided 4 by 5 is 0.8 and that equals four fifths

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Simplify 1/4 + 1.20 explain Which religions are monotheistic?oA. Only ChristianityOB. Christianity, Islam, and JudaismC. Hindu and BuddhismD. Only Islam ANSWER THAT BEST DESCRIBES THE SENTENCES:1. Religion integrates and stabilizes cultures as well asnations.2. Religion should be susceptible to progress.3. Religion sets notions of right and wrong.-4. Religion promotes obscurantism.5. Religion gives a sense of origin and destination._6. Religion is a source of discrimination.7. Religion gives a sense of purpose in life.8. Religion makes good people do evil things.9. Religion provides personal identity to individuals aspart of a group with similar world views, beliefs, values,practices and lifestyles.10. Religion perpetuates notions of class or genderdiscrimination and oppression Jane is planning to go on a camping trip. She purchases a bottle of mineral water, a pack of biscuits, a small tube of toothpaste, and a toothbrush from the supermarket near her house. The items that Jane has purchased from the supermarket are _____. The menu price of a sandwich at a restaurant is $6. The purchase is subject to a 5% food tax, and you would like to leave a tip of 20% on the pre-tax cost. How much tax do you pay? How much of a tip should you leave? What is the total cost of your meal, after tax and tip? Could I get help on this it's due today? i need help plz help me In the diagram, which angles from a linear pair ? Select 3 options Explain what the South African Government is doing to promote equalaccess to basic services. Two groups of friends go to a movie. Each ticket costs the same amount. One group spends $57. The other group spends $95. List all possible whole number ticket prices for each group. At most how much does each ticket cost? Suppose a group of 2 friends goes to this movie. At most how much does this group spend? List all possible whole number ticket prices for the group that spends $57. Select all that apply.A. $19 B.$1 C. $57 D. $95 E. $3 F. $5 List all possible whole number ticket prices for the group that spends $95. Select all that apply. A. $3 B. $19 C. $1 D. $57 E. $95 F. $5 At most how much does each ticket cost? Which statement describes a characteristic of a secondary source? HELP GIVING BRAINLIEST in the united states liberty is preserved because the power of our government is strictly limited. True or false Because Britain wanted to pay off some of their debts, they created the f(x)=(-3x+2) and g(x)=(2x^2-5x-1) Walt Whitman song to self what does word atom mean Solve.-7 + (-5), es -+ 8 Is anyone willing to answer this question I cant do it What are the 2 main sources of data Need help ASAP!! Will give brainliest