Parallelogram ABCD is a rhombus. Side BC= 5 cm and segment AO = 3.8 cm. what is the area of ABCD

Answers

Answer 1

The area of a shape is the amount of space it occupies

The area of the rhombus is 24.7 square inches

How to determine the area of the rhombus

Start by calculating the length BO using the following Pythagoras theorem

[tex]BC^2 = AO^2 + BO^2[/tex]

So, we have:

[tex]5^2 = 3.8^2 + BO^2[/tex]

Evaluate the exponents

[tex]25 = 14.44 + BO^2[/tex]

Collect like terms

[tex]BO^2 = 25 - 14.44[/tex]

[tex]BO^2 = 10.56[/tex]

Take the square roots

[tex]BO = 3.25[/tex]

The area of the rhombus is then calculated as:

[tex]Area = \frac{2BO * 2AO}{2}[/tex]

This gives

[tex]Area = \frac{2 * 3.25 * 2 * 3.8}{2}[/tex]

[tex]Area = 24.7[/tex]

Hence, the area of the rhombus is 24.7 square inches

Read more about areas at:

https://brainly.com/question/24487155


Related Questions

What is the rule for the number pattern below
900, 800, 650, 500, 350,....

A. Subtract 150.
B. Subtract 100.
C. Add 200
D. Add 250.

Answers

Answer:

I think there should be 950 at the first .. then the answer will be subtract 150

A company starts to track the number of phone calls received each month. During the first month the company received 4,264 phone calls. During the second month the company received 25% more phone calls than in the first month. During the third month the company received 6,396.
What was the percent increase in the number of phone calls from the second month to the third month.
Pleaseeee answer fastt

Answers

Answer:

Percent increase : 20%

Step-by-step explanation:

First month: 4,264 phone calls.

Second month: 25% more phone calls than in the first month.

To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:

64,264*25%=1,066

Total phone calls of the second month: 1,066+ 4,264= 5,330

You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:

4,264*1,25= 5,330

Third month: 6,396 phone calls

To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:

Percent change: ((value2-value1)/ value 1 )*100%

Value 2: phone calls received during the third month

Value 1: phone calls received during the second month

Percent change: ((6,396-5,330)/ 5,330 )*100%

Percent increase: 20%

Brainliest?!

Can someone explain to me how to do this? I just don't get it.

Answers

Answer:

x=130

Step-by-step explanation:

triangle=180

180-34-96=50

line=180

180-50=130

A candlestick burns at a rate of 0.2 inches per hour. After eight straight hours of burning, the candlesticks 13.4 inches tall. Write and solve a linear equation to find the original height of the candle.

Answers

Answer:

w43324424

Step-by-step explanation:

Answer:the original height of the candle is 14.8 inches

Step-by-step explanation:A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed asTn = a + (n - 1)dWhere a represents the first term of the sequence.d represents the common difference.n represents the number of terms in the sequence.From the information given,d = - 0.2 (it is decreasing)n = 8T8 = 13.4 inchesWe want to determine the value of the first term, a. Therefore,13.4 = a - 0.2(8 - 1)13.4 = a - 1.4a = 13.4 + 1.4 = 14.8 inches

Solve this equation 7x + 1 /16 = 1 /2 Algebra

Answers

Answer: 1/16

Step-by-step explanation:

1/2 - 1/16 = 8/16 - 1/16 = 7/16

7/16 / 7 = 1/16

Answer:

[tex]{\boxed{\sf{x = \dfrac{1}{16}}}}[/tex]

Step-by-step explanation:

CONCEPT :

Here, we will use the below following steps to find a solution using the transposition method:

Step 1 :- we will Identify the variables and constants in the given simple equation.Step 2 :- then we Simplify the equation in LHS and RHS.Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.Step 5 :- Then the result will be the solution for the given linear equation.

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

To solve this equation we will follow the given concept :

[tex]{:\implies{\tt{7x + \dfrac{1}{16} = \dfrac{1}{2}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{1}{2} - \dfrac{1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{(1 \times 8) -1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{(8) -1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{8 - 1}{16}}}}[/tex]

[tex]{:\implies{\tt{7x = \dfrac{7}{16}}}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{7}{16} \times \dfrac{1}{7} }}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{\cancel{7}}{16} \times \dfrac{1}{ \cancel{7}}}}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{1}{16} \times 1}}}[/tex]

[tex]{:\implies{\tt{x = \dfrac{1}{16}}}}[/tex]

[tex]{ \star{\underline{\boxed{\sf{\red{x = \dfrac{1}{16}}}}}}}[/tex]

Hence, the value of x is 1/16.

[tex]\rule{300}{2.5}[/tex]

What is 900 to the 6th power?

Answers

Answer:

5,314,411,000,000,000,000

Step-by-step explanation:

5.31441* 10^17 = 5,314,411,000,000,000,000

Why do you think there were more than 20 riots across the nation that summer

Answers

Answer:

beacuse it was so hot and people were stealing alot and thir king suks

Step-by-step explanation:

Answer:

In the summer of 1919, over 20 race riots broke out across the nation. The worst violence occurred in Chicago. African Americans went to White Beach only and that started violence. Each sides started throwing stones at each other, and a person drowned. A full-scale riot then erupted in the city. Angry African Americans attacked white neighborhoods while whites attacked African American neighborhoods. In the end, 38 people died—15 white and 23 black—and over 500 were injured. The most serious racial outbreak occurred in Chicago late in July of the Red Summer. A African American drifted into water that was customarily used by whites, White swimmers commanded him to return to his part of the beach, and some threw stones at him. The man drowned and that caused a riot between African American and White people. 38 people had been killed, including 15 whites and 23 blacks. Hope this helps!

what is 87 x 54 - 200 divided by 7

Answers

Answer:

87 x 54 - 200 divided by 7
solving-4669[3|7] , 4669.428571
answer-32686.7

Step-by-step explanation:

Tim and Joy are buying a home for the first time. They purchase a $225,000 house and put
$25,000 down. Their annual property taxes are $4,800, and their annual property insurance costs
are $1,200. What is their total monthly payment if they get a mortgage for 15 years at 3.5% (they
monthly payment includes the monthly property tax amount and monthly property insurance
amount)

Answers

Answer:

the answer is is is is is is is is .............. 194,000

The circle has a center of S. Suppose that m

Answers

Answer:

a) m line over OR=108 degrees =0.6[tex]\pi[/tex]

b) m <QSR=108 degrees

Step-by-step explanation:

SOMEONE HELP ME PLEASE

Answers

Answer:

[tex]\frac{11}{2}[/tex]

Step-by-step explanation:

[tex]\frac{x}{AB}[/tex]=cos60

x=[tex]\frac{AB}{2}[/tex]=[tex]\frac{11}{2}[/tex]

in a right angled triangle cosA=[tex]\frac{adjacent}{hypotenuse}[/tex]

so cosB=[tex]\frac{x}{11}[/tex]

[tex]\frac{1}{2}[/tex]=[tex]\frac{x}{11}[/tex]

x=[tex]\frac{11}{2}[/tex]

Answer:

5.5 units

Step-by-step explanation:

x is the smallest side because it is opposite of 30° angle.

The side opposite to 30° is half the hypotenuse:

BC = AB/2x = 11/2x = 5.5

29-{-36-(-27-31)+40}

Answers

Answer:

-33

Explanation:

29-(-36-(-27-31)+40)=

29-(-36-(-56)+40)=

29-(-36+58+40)=

29-62=-33

ok- i need help!
what's this ......
6(x+9)=9

Answers

Answer:

[tex]x=-\frac{15}{2}[/tex]

Step-by-step explanation:

Start by distributing the 6 to each of the terms in the parentheses:

6(x)+6(9)=9

6x+54=9

Subtract 54 from both sides

6x+54-54=9-54

6x=-45

Divide both sides by 6

x=-45/6

Divide the fraction by 3/3 since it is the greatest common factor of 45 and 6. Note we can only do this since 3/3 is equivalent to 1, so we are essentially dividing the fraction by 1.

x=-15/2

[tex]\huge \boxed{\tt x= - 7.5}[/tex]

Step-by-step explanation:

First write the equation

[tex] \to \sf6(x+9)=9[/tex]

[tex] \\ \\ [/tex]

Divide the 6 to 9 which is multiplying (x + 9) .

[tex] \to \sf(x+9)= \dfrac{9}{6} [/tex]

[tex] \\ \\ [/tex]

Divide numerator and denominator in right side by 3

[tex] \to \sf(x+9)= \dfrac{3}{2} [/tex]

[tex] \\ \\ [/tex]

Subtract 3/2 with 9

[tex] \to \sf x= \dfrac{3}{2} - 9[/tex]

[tex] \\ \\ [/tex]

[tex] \to \sf x= \dfrac{3 - 18}{2} [/tex]

[tex] \\ \\ [/tex]

After subtracting we will get our product as - 15/2

[tex] \to \sf x= \dfrac{ - 15}{2} [/tex]

[tex] \\ \\ [/tex]

Round of -15 / 2 to get product as - 7.5

[tex] \to \sf x= - 7.5[/tex]

Verification:

6(x+9)=9

6(- 7.5 +9) = 9

6 × 1.5 = 9

9 = 9

Hence verified ~☆

petra loves animals she has twelve pets in all four of which are rabbits write a fraction to describe the numberr of rabbits she has

Answers

4/12 = 1/3
Simplify
…………………….

Maggie makes $57,600 a year. Estimate how much she can afford to pay for rent each month if she budgets 27% of her gross monthly income.​

Answers

She can afford to pay $1296 per month.

How much can Maggie afford to pay?

Given that Maggie makes $57,600 a year, to determine how much she can afford to pay for rent each month if she budgets 27% of her gross monthly income, the following calculation must be performed:

100 = 5760027 = X27 x 57600 / 100 = X27 x 576 = X15552 = X15552 / 12 = 1296

Therefore, she can afford to pay $1296 per month.

Learn more about calculus in https://brainly.com/question/14478573

Adult tickets to the faculty-students basketball game sold for $5 each and student ticket was sold for $2 each. if 235 tickets were sold for a total of $725, how many of each kind of ticket were sold?

Answers

Answer:

85 adult tickets

150 children tickets

Step-by-step explanation:

we can write a system of equations and then use the 'elimination method':

let a = adult tickets

let c = children tickets

a + c = 235

5a + 2c = 725

we can multiply the first equation by -5 to get:

-5a - 5c = -1175

now we can add the second equation to get:

5a + 2c = 725

-3c = -450

c = 150

a + 150 = 235

a = 85

a. 5,68 ÷ 3,4
b. 987,3 ÷ 2,13
c. 34,23 ÷1,5

Put how you get to the result pls

Answers

Answer:

a: 1.6705882352941

b:463.52112676056

c: 22.82

Regular admission price for a family to enter an amusement park is $345.80. The Patel family used a discount coupon that gave them 35% off the normal price. How much did the family save?

I need help, I really would appreciate it.

Answers

100-35=65
65 over 100 x 345.80
=224.77
345.80-224.77=121.03

The function for the speed of a ball thrown straight up in the air is given by v(t) = 128 − 32t, where v is the ball's velocity (in feet per second) and t is the number of seconds after the ball is thrown.

What is the slope? What does it represent? (1 point)
−32; velocity decreases at rate of 32 feet per second as the time increases
32; velocity increases at rate of 32 feet per second as the time increases
−128; velocity decreases at rate of 128 feet per second as the time increases
128; velocity increases at rate of 128 feet per second as the time increases

Answers

Answer:

A) −32; velocity decreases at rate of 32 feet per second as the time increases

Step-by-step explanation:

Rewrite v(t) = 128 - 32t as v(t) = -32t + 128

We see that our slope is -32 ft/s given it's in slope-intercept form with an initial height of 128 feet.

How can cell Survival be predicted

Answers

Answer:

Introduction. Cellular survival depends on an organism's ability to respond and adapt to extracellular signals in its environment. Signal transduction is, therefore, an important biologic process, allowing cells to react to a variety of these extracellular stimuli and respond adaptively.

It can be predicted by introduction


Express the ratio below in its simplest
form.
14:7:21

Answers

Hope this proves useful to you, they share a common factor which you can divide all numbers by

I NEED HELP PLEASE !!!!
Given a square with an area of 49 square units, determine the length of the diagonal.

Answers

Answer:

9.899

Step-by-step explanation:

Area of square = side × side

49 = side × side

7 × 7 = side × side

Side = 7 cm

Diagonal of square = side × root2

= 7 × Root2 cm

= 9.899

The table represents some points on the graph of an exponential functio
X
f(x)
2
36
3
54
4
81
5
121.5
6
182.25
Which function represents this relationship?
F f(x) = 16
Nw
G f(x) =
= 16
Nm
H f(x) = 36
ਹੈ।
f(x) = 36
WIN

Answers

The exponential function represented in the table is given by:

[tex]F(x) = 16\left(\frac{3}{2}\right)^x[/tex], which means that option F is correct.

What is an exponential function?

It is modeled by:

[tex]y = ab^x[/tex]

In which:

a is the initial value.b is the rate of change.

Considering the table, that has points (2,36) and (3,54), we have that:

[tex]36 = ab^2[/tex]

[tex]a = \frac{36}{b^2}[/tex]

[tex]54 = ab^3[/tex]

[tex]54 = \frac{36}{b^2} \times b^3[/tex]

[tex]36b = 54[/tex]

[tex]b = \frac{3}{2}[/tex]

Hence:

[tex]y = a\left(\frac{3}{2}\right)^x[/tex]

When x = 2, y = 36, hence:

[tex]y = a\left(\frac{3}{2}\right)^x[/tex]

[tex]36 = a\left(\frac{3}{2}\right)^2[/tex]

[tex]\frac{9}{4}a = 36[/tex]

[tex]a = 16[/tex]

Hence, the function is:

[tex]F(x) = 16\left(\frac{3}{2}\right)^x[/tex], which means that option F is correct.

More can be learned about exponential functions at https://brainly.com/question/25537936

Which table represents a function? please help I will give brainlist ​

Answers

Answer:

the second table on the bottom

Step-by-step explanation:

To be a function the points have to pass the horizontal line test.

When you plot the graph of a function, then draw a horizontal line across the graph. If the horizontal line touches the graph only once, then the function does have an inverse function.

An organization that installs water wells for people living in the Central African Republic candig a well 90 feet deep in 6 hours. If the drill continues at a constant
rate, how many hours lored will the drill be at 22.5 feet?

Answers

Answer: 1.5hr

Step-by-step explanation:

. A triangle has side lengths 6, 11, and 13. Is the triangle acute, obtuse, or right? Explain.

Answers

Scalene, obtuse triangle. :)

please help me find the lateral surface area of this

Answers

Answer:

96cm

Step-by-step explanation:

i need help with this please!

Answers

Volume of a sphere:

V = (4/3)πr³

Circumference of a sphere:

C = 2πr

Surface area of a sphere:

A = 4πr²

above are important sphere related equations

so to find the surface area plug in values for equation

A= 4πr²

= 4 × 3.14 × 5.4 ×5.4

= 366.25 mm²

The sum of two consecutive numbers is 91. Find the numbers​

Answers

Answer:

45 and 46

Step-by-step explanation:

let x = the smaller number

thus, x + 1 is the next consecutive number

x + x + 1 = 91

2x + 1 = 91

2x = 90

x = 45

x + 1 = 46

Answer:

1 + x = 1 + 45 = 46, so the 2 consecutive numbers are 45 and 46, when added, gives the sum of 91..

HOPE IT HELPS

Can anyone please help me with this??? I really need it );

Answers

Answer:

(x,y) (9,4)

Step-by-step explanation:

-2x+7y = 10

x -3y = -3 (move x to the other side)

-2x +7y = 10

x = -3 + 3y (put in for x)

-2 (-3 +3y) +7y =10 ( slove for y)

6-6y +7y = 10

6+y = 10

y = 10-6

y = 4

go back slove for x

x = -3+3x4

x = 9

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