The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.

Answers

Answer 1

Answer:

(look in the the Step by step)

Step-by-step explanation:

When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.

.. A = (1/2)*d₁*d₂

Substituting the given information, this becomes

.. 58 in² = (1/2)*(14.5 in)*d₂

.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.

Answer 2

Answer:

BD = 8 in.

Step-by-step explanation:


Related Questions

HELP PLEASE!!!!! 13 POINTS!!! WILL GIVE BRAINLIEST!!!
Which exponential expression is equivalent to the one below? (7x2)^5

Answers

Answer:

The 2nd option is the correct answer - 7⁶ . 2⁶

Answer is

B. 7^6*2^6

what is the solution to the equation?
x=3
x=1
x=-1
x=-3

Answers

Answer:

x= - 3

Step-by-step explanation:

2x - 3= 4x + 3

2x = - 6

x = - 3

6/1000 is equal to...
A 0.0006
B 0.006
C 0.06
D 0.6
E 6000

Answers

Answer: B

0.006

Step-by-step explanation:

Answer:

B. 0.006

Step-by-step explanation:

for 6/10 it would be 0.6, 6/100 is 0.06, and 6/1000 is 0.006. Also the way you would say 6/1000 is either six over one thousand or six thousandths which is also how you would say 0.006.

i hope this helps!

Can someone please help me asap ill mark brainlist + extra points!!!!!

Answers

7. Radius =15 diameter=30 area=15^2pie circumference=30
8. Radius=8 diameter=16 area=8^2pie
Circumference=16
9. Radius=10 diameter=20 area=10^2pie
Circumference=20

Step-by-step explanation:

1. radius=d/2= 30/2= 15yds

diameter= 30yds

area=πr²= 22/7*(15)²

707.14yds²

circumference= 2πr=2*22/7*15

94.29yds

2.radius=8in

diameter= 2r =2(8)=16in

area=πr²= 22/7*(8)²

201.14in²

circumference= 2πr=2*22/7*13

50.29in

3.radius=d/2 =20/2=10ft

diameter= 20ft

area=πr²= 22/7*(10)²

314.29ft²

circumference= 2πr=2*22/7*10

62.86ft

Which of the following inequalities is equivalent to – 9 <4(x - 3)?

Answers

Answer:

x>3/4

Step-by-step explanation:

What is the area of 30/7 and 1/3

Answers

Answer:

The answer is 7/4 = 1 3/4 = 1.75 = seven quarters (or one and three quarters) ... numbers, be sure to leave a single space between the whole and fraction part.

Step-by-step explanation:

What is the surface area of the rectangle below?

Answers

Step-by-step explanation:

First, we must take into account that there will be 3 pairs of sides that are the same. Starting at the front, we have 9 * 12. Since the rectangular prism is measured in units squared, this side is 108 units squared. The opposite side is the same. Our current total is 216 units. The side is 15 * 9. This is 135 units, multiplied by 2 since it has the other side, to get 270 units. Our current total is 486 units, so it already can't be A. The top and bottom sides are 15 * 12 units, giving us 180 on each, 360 in total. 360 plus 486 = 846 units squared.

TRUE or FALSE? The sum \sqrt{16}+\sqrt{9} is a rational number.

Answers

Answer:

True

Explanation:

Sqrt[16] + sqrt[9]

4 + 3

7
Correct answer is TRUE

44⁷×55+76÷79+80
i am can't solve this question​

Answers

Step-by-step explanation:

Cumulative frequency can also defined as the sum of all previous frequencies up to the current point.

So, 48+24=72

So, the missing cumulative frequency is . 72

Answer:

the missing cumulative frequency is . 72

Step-by-step explanation:

{(27x-6y=30 9x-2y=10)

Answers

Answer:

Y= 9x/2 -5

Step-by-step explanation:

is that what you needed help on?

Which rule is correct for translation 2 units right and 6 units down

Answers

Answer:

(x + 2, y - 6)

Step-by-step explanation:

When you go right or up it is in the positive.

When you go left or down it is in the negatives.

Answer:

[see below]

Step-by-step explanation:

Two units to the right is adding 2 together to the x value.

6 units down is subtracting 6 from the y-value.

The rule should be:

[tex](x,y)\rightarrow(x+2,y-6)[/tex]

Hope this helps.


If f(x) = 4x - 6, what is f(6)?
A. 4
B. 32
C. 3
D. 18

Answers

your answer is D you’re welcome!

expand (2x^2y)^3 please helpppp

Answers

Answer:

answer is 2^3  x^6 Y^3 Hope this helps^_^

Step-by-step explanation:

plz give brainliest and rating

If the car spends no time going 35 miles per hour how long would the trip take?

Answers

Answer:

can you specify how fast the car is going? if the car goes 35 miles per hour and the trip is 3 hours its 105 miles in total for your trip. I hope this helps.

The total time that the car will take to cover the trip would be {x}/35 hours.

What is distance?

Distance in kinematics is defined as the product of speed and time.

Mathematically, we can write distance covered as -

distance = speed x time

Given to find the time duration of trip if the car is travelling at 35 miles per hour.

Assume that the total distance that has to be travelled by the car is {x}

miles. From the formula of distance covered, we can write that -

distance = speed x time

time = distance/speed

time = x/35

Therefore, the total time that the car will take to cover the trip would be {x}/35 hours.

To solve more questions on distance covered, visit the link-

https://brainly.com/question/20271103

#SPJ2

Joe ate as much pieces of halloween candy as Ed. Together they ate 48 pieces!

Answers

Answer:

they both ate 24 pieces!

Step-by-step explanation:

if joe and ed ate the same amount of candy, 48÷2= 24

24+24=48

6. A study recorded the number of baskets scored each game by four basketball players. The MAD from this data is shown below. Which basketball player is the most predictable regarding his/her number of baskets per game?


MAD. Basketball Player Donelle. 1.4
Mila. 3.8
Aracely. 2.5
Corey. 1.2

A. Donelle

B. Mila

C. Aracely

D. Corey​

Answers

Answer:

D. Corey!

Step-by-step explanation:

I hope this helps! Have a great rest of your day!


A hair salon uses 4 bottles of shampoo for every 3 bottles of conditioner.
The coordinate plane shows a graph of equivalent ratios.
Use the graph to find the number of bottles of conditioner that are used when 16 bottles of shampoo are used.
Answers
A 3 bottles of conditioner
B 6 bottles of conditioner
C 12 bottles of conditioner
D 20 bottles of conditioner

Answers

Answer:

I honestly think it is C.

Step-by-step explanation:

Since "4 bottles of shampoo for every 3 bottles of conditioner" is (4,3), I think the 16 is (16,12) on the graph. It might be worng, might be right. Just go for C.

On the map below, 1⁄4 inch represents one
mile. Candler, Canton, and Oteen are three
cities on the map.

If Candler and Oteen are 3 1⁄2 inches apart
on the map, what is the actual distance
between Candler and Oteen in miles?

Answers

Where’s the map at homie?

Step-by-step explanation:

can someone help me with this problem?

Answers

ANSWER: 21

WHY:

Each number on the left side is multiplied by 3. There are 3 blue marbles in each bag. 7 bags will have 21 blue marbles. 7*3=21


MARK ME BRAINLIEST PLEASE

HELP ME!! I WILL MARK BRAINLIEST!!


Ez brainliest

Answers

Answer:

4) A) cuttings

5) B) pollinated

9) C) heredity

Step-by-step explanation:

Answer:

1) A.

2) B.

3) C.

I hope this helps.

Please mark me the Brainliest!

a. Adjacent

b. Linear Pair

c. Complementary

d. Supplementary

e. Vertical

Answers

Adjacent bc I did this yesterday

Each year, Malcolm earns 120 hours of vacation time at his job. There are 52 weeks in a year.
What is the approximate number of hours of vacation time that Malcolm earns each week?

Answers

Answer:

2.3 hours per week

Step-by-step explanation:

in which quadrant does the point (-7,3)lie?​

Answers

Answer:

quadrant 2

Step-by-step explanation:

quadrant 1 = +,+

quadrant 2=-,+

quadrant 3= -,-

quadrant 4: +,-

PLEASE HELP GEOMETRY PLEASE IVE BEEN STUCK FOR AN HOUR!!!!

Answers

Answer:

Right

Suffered:

I drew it With no pencil

Answer:

right, it is 9 and 12 so it adds up

The photo has a width of 720 pixels. The photo has a height of 540 pixels.

(a) Write down the ratio of the width of the photo to the height of the photo. Give your ratio in its simplest form.

Answers

Answer:

Required Answer :-

Ratio = Width: Height

Ratio = 720 : 540

Cancelling 0

Ratio = 72 : 54

Cancelling by 9

Ratio = 8 : 6

Cancelling be 2

Ratio = 4 : 3

Width:Height
720:540 (cancel the 0)
72:54 (divide by 18 which is the HCF)
4:3

The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 20 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.

Answers

Answer:

6 rolls because the total perimeter is 102 ft and five rolls is only 100 feet. So she needs 6 rolls.

Step-by-step explanation:

to find perimeter, add up all the side lengths.

so 15*4 (it's easier than 15+15+15...)

60 ft.

now we have to use Pythagorean's Theorum to find corner to corner.

so [tex]a^2+b^2=c^2[/tex]

we have a and b

[tex]15^2+15^2=c^2[/tex]

do the math...

225+225= 450

square root of 450=

21.213

double that because it's used twice (corner to corner and corner to corner)

42.426

now add it all up

42.426 + 60 = 102.426

we can round

102

20*5 = 100

so she needs 6

MY ORIGINAL ERROR WAS 5, BUT 5 TIMES 20 IS ONLY 80, SO THEREFORE 6 IS REQUIRED SO THERE IS ENOUGH TO COVER 102.

Answer:

Katie needs 6 crepe rolls.

Step-by-step explanation:

Hello!

Katie originally needed ~5.1 crepe rolls, but since its a question on how many rolls she should by, she should get 6.

There are a couple of steps in order to solve this.

Brainly is being weird- so I put an explanation to the problem in the image below- hope it helps!

Name each polynomial based on its degree and number of terms.

-2xy^2

Answers

Answer:

Degree: 3

Number of terms: 1

Step-by-step explanation:

The exponent on x is 1. The exponent on y is 2.

1 + 2 = 3

Degree: 3

Number of terms: 1

Please Help!
(look at the photo)

The two figures are similar. Write the similarity statement. Justify your answer.

Answers

Answer:

Both triangles have acute angles

Daniel says that more than half the students spent 2 1 2 hours or more on homework. Liz says more than half the students spent less than 2 1 2 hours on homework. Who is correct? Explain.

Answers

Answer:

Liz is correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Who is correct? Daniel or Liz

From the attached data, we have:

[tex]Time: 1\frac{3}{4},\ 2\frac{1}{2},\ 2,\ 2\frac{3}{4},\ 1,\ 1\frac{3}{4},\ 1\frac{1}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4},\ 2,\ 2[/tex]

The total number of students is:

[tex]n = 12[/tex]

The data that represents  [tex]2\frac{1}{2}[/tex] or more is:

[tex]Time: 2\frac{1}{2},\ 2\frac{3}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4}[/tex]

The frequency of this is 5

The frequency that represents [tex]2\frac{1}{2}[/tex] or less will be 7

This means that less than half spend [tex]2\frac{1}{2}[/tex] or more

and more than half spend [tex]2\frac{1}{2}[/tex] or more

Hence, Daniel is incorrect. Liz is correct

Find the Highest Common Factor of : 27, 36, and 54.​

Answers

Answer: 9

Step-by-step explanation:

The factors of 27 are: 1, 3, 9, 27

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

Then the greatest common factor is 9.

Hope this helped ! :)

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