13. Each side of a rhombus is 14 in. long. Two of the sides form a 60 angle. Find the area of ​​the rhombus. Round your answer to the nearest square inch.

Answers

Answer 1

Answer:

170 in²

Step-by-step explanation:

Given that :

Side, a = 14 in

Angle formed =? 60°

Take height, = l

The ratio of height to side = Sine of the angle formed

l /s = Sine 60°

Sin 60 = sqrt(3)/2

l/s = sqrt(3)/2

l = sqrt(3)/2 * s

s = 14

l = 14 * sqrt(3)/2

l = 7sqrt(3)

Area of rhombus :

l * s

7sqrt(3) * 14

= 169.74097

= 169.74 in²

= 170 (nearest square inch)


Related Questions

Cincinnati is about 225 miles from Cleveland. What is the distance between these cities on the map?


10 millimeters = 25 miles

Answers

Answer:90

Step-by-step explanation:

The distance between these cities on the map is 90 mm.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Cincinnati is about 225 miles from Cleveland and on scale 10 millimetres is equal to 25 miles.

The distance on the map will be calculated as,

25 miles = 10 mm

1 mile = 10 / 25 mm

225 miles = ( 225 x 10 ) / 25

225 miles = 90 mm

Therefore, the distance between these cities on the map is 90 mm.

To know more about an expression follow

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A recipe calls for 1/4
cup of milk for every 1 1/2
cups of flour. How many cups of flour will you need for 1/2
cup of milk?

Answers

Answer:

3 cups flour

Step-by-step explanation:

set up a proportion and cross-multiply:

1/4 = 1/2

3/2      f

1/4f = 3/4

4f = 12

f = 3

Answer:

3 cups

Step-by-step explanation

basically if 1/4 cup of milk is for 1 1/2 cups of flour ------ 1/2 cup is twice the amount that a quarter cup is because a 1/4 cup + a 1/4 cup = 1/2 cup so you double the amount of flour too and 1 1/2 + 1 1/2 is 3 cups of flour.

1/4 + 1/4 = 1/2 (milk)

1 1/2 + 1/12 = 3 (flour)

Make a, the subject of 3a-b=a+7

Answers

Answer:

a = (b+7)/2

Step-by-step explanation:

3a - b = a + 7

2a - b = 7

2a = b + 7

a = b+7/2

Can some one help please

Answers

Answer:

66m*2

Step-by-step explanation:

2(20m + 13m)

= 66m*2

Answer:

66 m

Step-by-step explanation:

Since you are adding all the sides, you multiply 20x2 because there are two sides. Then you multiply 13x2 because 6 plus the missing number in the bottom right corner is equal to 7. The answer that you get from the multiplications, you add them and you have your perimeter.

There are only 5 blue cards, 2 green cards and 4 red cards in a pack.
Isabella is going to take at random one card from the pack.
(a) Write down the probability that Isabella will take a blue card.

Answers

Answer:

5/11 or 45 percent, since there are 5 blue cards

The probability that Isabella will take a blue card is 5/11.

What is probability?

Probability is the chance that something will happen, or how likely it is that an event will occur.

Formula for probability

P(E) = total number of favorable outcomes/ total number of outcomes

Where,

P(E) is the probability of any event.

According to the given question

Five blue cards, two green cards and four red cards.

total number of outcomes =  5+ 2 + 4 = 11

For finding the probability of blue card

Total number of blue cards is 5.

total number of favorable outcomes = 5

Therefore,

The probability of getting blue card

= number of favorable outcomes/ total number of outcome

= [tex]\frac{5}{11}[/tex]

Hence, the probability that Isabella will take a blue card is 5/11.

Learn more about probability here:

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Find the sum of 3876, 9828 and 5030

Answers

3876+9828+5030= 18734

Answer:

18,734

Step-by-step explanation:

just add them all

3876

9828

+ 5030

---------

18,734

Can you simply these fractions?

Answers

Answer:

here:

Step-by-step explanation:

(a) 5/6

(b)4/5

(c)3/8

(d) 6/15= 2/5

(e) 2/7

(f)10/14= 5/7

(g) 3/4

(h) 1/2

(i) 6/9

(j) 1/4

Plz help me I’ll give you brainlist I just really need help!!!

Answers

Answer:

4 1/10 , 103/25 , 4.763 , 4.76

Answer:

Step-by-step explanation:

40 1/10<103/25<4.76<4.763

help please will mark you brainliests ​

Answers

Answer:

180 - 2x

Step-by-step explanation:

Angle bad = 180 - 2x

Sumaya is using two different strings of Christmas lights to decorate her house.one string flashes every 10 seconds.the other one string flashes every 15 seconds.when Sumaya turns on the lights they flashes at the same time.work out how long it will be before they flash again at the same time.use the LCM to help you work out your answer​

Answers

Answer: 30 seconds

Step-by-step explanation:

From the question, we are informed that one string flashes every 10 seconds while the other one string flashes every 15 seconds.

The number of minutes that it'll take before they both flash again at the same time will be gotten by calculating the LCM of 10 and 15. This will be:

10 = 10, 20, 30, 40, 50 ...

15 = 15, 30, 45, 60, 75 ....

We can see that the lowest common multiple of 10 and 15 is 30. Therefore, the answer is 30.

They'll both flash again at same time in 30 seconds.

The sum of two numbers is 54.The smaller number is 22 less than the larger number.what are the numbers?

Answers

Answer:

x=16 y=38

Step-by-step explanation:

x+y=54.......equation 1

x=y-22........ equation 2

substitute

y-22+y=54

2y-22=54

2y=54+22

2y=76

y=76/2

y=38''

x=y-22

x=38-22

x=16''

Find the price of an $11.00 meal with 8.38% tax

Answers

Answer:

im pretty sure its $11.92

Step-by-step explanation:

agree or desagree? short question​

Answers

Answer:

im in the middle of both sides

Step-by-step explanation:

A school hall costs £200 to hire.
Parents get a 10% discount.
30 parents share the cost equally.
How much does each parent pay

Answers

Answer:

£6

Step-by-step explanation:

The computation of the each parent pay is shown below;

But before that the cost of hall after considering the discount is

= £200 - 10% of £200

= £200 - £20

= £180

Now there are 30 parents

So each parent pay is

= £180 ÷ 30 parents

= £6

Anthony is sharing 54 marbles with his brother Henry. How many marbles will Anthony get, if he is getting 2/3 of the bag?

Answers

Answer:

36

Step-by-step explanation:

54/3=18

18x2=36

What is the radius of the diameter of a circle that is 14 inches?

Answers

Diameter: The length of the circle

Radius: Half of the diameter

If the diameter of the circle is 14 inches, the radius would be 7 inches as the radius is half the diameter

Find the values of x and y.

Answers

Answer:

x=10 y=20

Step-by-step explanation:

what is, v(20)=450(1+0.025)^20

Answers

Step-by-step explanation:

step 1. v(20) = 450(1.025)^20

step 2. 737.3774.

Answer:

20v=737.37739813

Step-by-step explanation:

17
Two boys are in a weight lifting contest to see who is stronger. Matt lifts 500 pounds, Jamie lifts 2000 newtons.
Who is stronger? Show what you did to get your answer.
[IN=4.480]

Answers

Answer:Matt

Step-by-step explanation:

this is Jamies weight

449.618 Pounds force (lb)

*WILL GIVE BRAINLIEST*
Can someone please explain how I get the answer to this? I just need an explanation/answer, please.

An isosceles triangle has an angle that measures 132°. Which other angles could be in that isosceles triangle? Choose all that apply.

A: 132
B: 63
C: 24
D: 73

Answers

Answer:

option C

24

Step-by-step explanation:

if I m not wrong then this is the ans

hope it helps u

Determina todo lo que falta a los triángulos rectangulos aplicando las funciones trigonométricas.

Ayúdenme por favor con este ejercicio matemático :(​

Answers

Answer:

b

Step-by-step explanation:

Simplify the expression 6x-9+3x+2 .

Answers

Answer:

9x - 7

Step-by-step explanation:

6x - 9 + 3x + 2

= (6x + 3x) (- 9 + 2)

= 9x - 7

Here is a list of numbers.
32 29 30 37 34 33 31
Tanya thinks that to work out the median, she simply needs to find
the middle number. So she says that “37" is the median for this list of numbers.
Tanya's answer is not correct.
a) Describe what is wrong with her method.
b) Work out the median of the numbers in the list.

Answers

Answer:

a). To find the median from a set of numbers, you need to arrange them from ascending order (smallest to biggest), and then you need to find the number in the middle

b). 32

Step-by-step explanation:

b). Smallest to biggest

29, 30, 31, 32, 33, 34, 37

From the set of numbers given, we can clearly see that 32 is in the middle.

Paige earns $15.50 per hour and works 20 hours each week. She gets a 10% raise and decides to save 20% of her paycheck for a new phone. How much money will Paige have saved after 4 weeks?

A. 297.60
B. 68.20
C. 136.40
D. 272.80​

Answers

Answer: b

Step-by-step explanation:

Suppose a student picks 3 points at random from Q, R, S, T, W shown below. Find the probability that these randomly chosen points are noncollinear

Answers

Do u have the pic from the sheet of it ??

(-2,0) lies on the graph of the equation y = |x-1| + 3.

Answers

Answer:

Yes true i tried it out

Slope that is passing through (3,5) and (0,-7)

Answers

Answer: 4

Step-by-step explanation:

Slope: [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex]

y₂ = -7

y₁ = 5

x₂ = 0

x₁ = 3

[tex]\frac{-7 -5 }{0- 3 }=\frac{-12}{-3} = \frac{4}{1} = 4[/tex]

Slope: 4

PLEASE HELP IM GONNA FAIL WILL GIVE BRIANLESS

Answers

Answer:

8) 1,965,600 passwords

9) 1/8

Step-by-step explanation:

8) 9 · 8 · 7 · 6 ·26 ·25  = 1,965,600

9) 1/2 · 1/2 · 1/2 = 1/8

Help me I can’t understand this Q

Answers

Answer:

y - 7 = - [tex]\frac{5}{2}[/tex] (x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - [tex]\frac{5}{2}[/tex] and (a, b ) = (- 2, 7 ) , then

y - 7 = - [tex]\frac{5}{2}[/tex] (x - (- 2) ) , that is

y - 7 = - [tex]\frac{5}{2}[/tex] (x + 2)

Y - 7 = - 5/2 that’s should help

Solve the system of linear equations using substitution.
x=7y-9
x+7y=3

Answers

Answer:

2. x = 3-7y

Step-by-step explanation:

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