Mathematics College

Find the height of ABD

Find The Height Of ABD

Answers

Answer 1

Answer:

[tex]Height=\boxed{10\sqrt{2}} [/tex]

[tex] Area =\boxed{165\sqrt{2}} [/tex]

Step-by-step explanation:

By geometric mean theorem:

[tex] AC=\sqrt{25\times 8}[/tex]

[tex] AC=\sqrt{5^2 \times 2^2 \times 2}[/tex]

[tex] AC=5\times 2\sqrt{2}[/tex]

[tex] AC=10\sqrt{2}[/tex]

So,

[tex]Height=\boxed{10\sqrt{2}} [/tex]

[tex] Area = \frac{1}{2} \times base\times height [/tex]

[tex] \therefore Area = \frac{1}{2} \times (25+8)\times 10\sqrt{2} [/tex]

[tex] \therefore Area =33\times 5\sqrt{2} [/tex]

[tex] Area =\boxed{165\sqrt{2}} [/tex]

Related Questions

A muralist is painting the side wall of a building. The wall is shaped like a rectangle that is 60
feet long and has a diagonal length of 68 feet. If a gallon of paint can cover 800 square feet,
how many gallons will the muralist use?

Answers

Answer:

2.4 gallons

Step-by-step explanation:

to answer this question :

we have to determine the width of the rectangle.

determine the area

determine the gallons needed

Pythagoras theorem would be used to determine the width of the wall

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

60² + b² = 68²

3600 + b² = 4624

b = ²4624 - 3600 = 1024

√b = 32

Area of a rectangle = length x width

32 x 60 = 1920

Gallons needed = 1920 / 800 = 2.4 gallons

Find the value of x in the triangle shown below.

a.164
b.2
c.6
d.80

Answers

Answer:

C. 6

Step-by-step explanation:

According to Pythagprean theorem 10^2 = x^2 +8^2

100 = x^2+ 64 subtract 64 from both sides

36 = x^2

6 = x

Can someone help me with this please ?

Answers

Answer:

x= 65

Step-by-step explanation:

x= 360- (130+75+90)

x= 360- 295

x= 65 degrees

01:09:23
What is the radius of this circle if the circumference is 18 cm?
0
3 cm
9 cm
18 cm
36 cm

Answers

Answer:

The formula for circumference of a circle is

2pi,R.

In which R= radius. Then we Insert 18 in for the circumstances.

so, 18=2πr

then solving for r

18=2

÷. ÷

2. 2

R = 9,,

Solve 7x- c = k for x

Answers

Answer:

D

Step-by-step explanation:

I know the answer is D because I set the equation to be equal to x.

First, I added c to both sides. The equation looked like: 7x=k+c

Then, I divided 7 on both sides, so x would be by itself. The equation looked like x=k+c/7

In conclusion, the answer is D. x=k+c/7

Help help help help help help

Answers

Answer:

More than for the first box and less than for the second.

Find the missing angle in the triangle,
x°
36°
111°

Answers

Answer:

33°

Step-by-step explanation:

you add the two numbers together and subtract from 180° to get your answer

BRAINLIEST FOR CORRECT ANSWER ASAP

Answers

Answer:

● equivalent

Step-by-step explanation:

○ equivalent

Answer:

the base is the answer 4

[tex] {42}^{2} [/tex]

Step-by-step explanation:

42 is the base

Please help I will give brainliest!

Answers

Answer:

1.    74.6° = m∠C       65.4° = m∠A      a = 2.83

2.   Triangle does not exist

Step-by-step explanation:

1.   Use the law of sines to find m∠C

sin 40/2 = sin C/3

3sin 40/2 = sin C = .96418...

arcsin .96418... = 74.6° = m∠C

m∠A = 180 - 40 - 74.6 = 65.4°

a/sin 65.4 = 2/sin 40

a = 2 sin 65.4/sin 40 = 2.83

2.   sin 95/4 = sin C/5

5sin 95/4 = sin C =  1.2452...  which is impossible since the cosine of an angle is ≤ 1

Find the lowest common multiple of 30
and 40


Please

Answers

Answer:

120.

Step-by-step explanation:

The Least common multiple of 30 and 40 is 120.

Answer:

The lowest common multiple of 30 and 40 is 120

Help I don’t know what to do

Answers

Answer:

x=8

Angle DBC=32

Step-by-step explanation:

-DBC= ABC-ABD= 55-23=32

-4x=DBC=32

x=32/4=8

Find y.

1)6.76
2)7.54
3)18.55
4)29.83

Answers

9514 1404 393

Answer:

  (c)  18.55

Step-by-step explanation:

The law of sines tells you ...

  y/sin(106°) = 15/sin(51°)

  y = 15×sin(106°)/sin(51°)

  y ≈ 18.55

_____

The same kind of proportion can find x:

  x = 15×sin(23°)/sin(51°)

  x ≈ 7.54

Please note that the question posted here asks for the value of y. The value of x and the complete triangle solution are provided as a courtesy to those who may be asked for other values in this triangle.

Last year Jacob’s total sales were $512,045. This year he increased his sales to $595,679. What is the increase in sales

Answers

Answer:

$83,634

Step-by-step explanation:

The computation of the increase in sales is shown below:

Given that

The total sales is $512,045

And, the increase his sales to $595,679

So based on the above information

The increase in sales is

= $595,679 - $512,045

= $83,634

Hence, the increase in sales is $83,634 that means the sales would be increased by $83,634

The same should be considered and relevant

Which ordered pair represents a solution? *

A (0,2)
B (1,3)
C (3,1)
D (26)

Answers

I think it’s A hope that helped
A is the correct answer

Find the mean for the data set. 1600, 1800, 1205, 1360, 1205, 1135, 1895, 1400, 1955, 1710

Answers

Answer:

1526.5

Step-by-step explanation:

To find the mean...

Add all of the numbers and then divide by how many numbers there are.

1600+1800+1205+1360+1205+1135+1895+1400+1955+1710 = 15265

15265/10 = 1526.5

2) What is the area of the figure?

Answers

Answer:

9+7+4+5= 25

Step-by-step explanation:

add up everything then get ur answer

Kayli made 4 cups of soup for dinner. She ate 14 cups and her sister ate 11 cups. How much soup was left?​

Answers

Answer:

-21 cups.

Step-by-step explanation:

4-14-11=-21

Tara has 4 and 4 over 5 feet of rope.

Part A: How many 2 over 5 foot pieces can Tara cut from the 4 and 4 over 5 feet of rope? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)
I already got part a correct but I need help with part b, I don't understand it cause I'm d u m b pls help

Answers

9514 1404 393

Answer:

  A) 12 pieces

  B) the meaning of the quotient is that Tara got 12 pieces of length 2/5 ft from her 4 4/5 ft rope

Step-by-step explanation:

A) (4 4/5)/(2/5) = (24/5)/(2/5) = 24/2 = 12

  Tara can cut 12 pieces from the rope.

__

B) The quotient is the answer to the question. The meaning of it is that Tara can get 12 pieces from the rope, in answer to the question, "how many pieces can Tara cut?"

It doesn't matter whether the numbers are whole numbers, decimals, fractions, or even irrational numbers. The whole is the sum of the parts, so the number of parts is equal to the size of the whole divided by the size of a part.

_____

Comment on the question

This sort of question seems to appear a lot in modern "common core" math materials. They tell you "x means <such and such>", and then they ask you, "What is the meaning of x?" It seems to be a reading comprehension exercise. Of course, the meaning of x is <such and such>, just as the problem statement tells you.

PLEASE HELP BOTS HAVE BEEN COMMENTING ON MY POSTS ALL DAY I NEED AN REAL ANSWER PLEASE IM DEPERATE

Answers

Yep the same thing happens to me

..................................... help pls

Answers

Answer:

A

Step-by-step explanation:

A is the height since it shows the dotted line from top to bottom and B and C are slanted.

Answer:

Option A

Is correspond line

show how you got your answer

Answers

5,200
make km to m. km to m is 1,000
so 5.2 x 1,000

Write rational numbers between 0 and 1
-----------------------------------------------------------------------------------------
please also say how did you solve it
this question has 20 points
I will mark you as Brillant if you answer it

Answers

Step-by-step explanation:

0/1,1/1

Multiply it by any number

0/1×30=0/30

1/1×30=30/30

Now we have many choices

2/30,5/30,20/30,15/30.....so...on

to reflect point R(6, 10) over the y-axis. What are the coordinates for R’?

Answers

Answer:

-6, 10

Step-by-step explanation:

When you reflect of the y-axis the x will be negative if the original point was positive and the y will stay the same

Solve the following equation:

l -4 l x 5= x

x =

Answers

X = 20 because the Absolute value of -four is 4×5 is 20


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

The answer is x=-6 and the angles are 56
-8x+8=-6x+20
-2x=12
x=-6

A triangle has two sides with lengths 7 m and 12 m. Which of the following lengths could represent the length of the third side? *
1 point
4 m
19 m
17 m
2 m

Answers

Answer:

i think its 17

please rate and leave a like :-)

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

∠TSQ and ∠UVX

Step-by-step explanation:

The first answer is correct. Alternative exterior angles are angles located on the outside that are on opposite sides from each other

Which equation represents 3/8 less than 7/8 of a number?

A. 3/8 -7/8n

B. 3/8n - 7/8

C. 7/8n-3/8

D. (7/8-3/8)n

Answers

The answer is D
Am sure its D

how much does a bike with an acceleration of 2ms^-2 take to increase it's velocity from 10ms^-1 to 30ms^-1? help!! with explainations and show the work, if possible. thank you!​

Answers

Step-by-step explanation:

use the formula:

[tex]v = u + at[/tex]

v = 30 [final velocity]

u = 10 [initial velocity]

a = 2 [acceleration]

solve for t [time]

Use long division to find the quotient of 1,467 and 58. What is the remainder?

Answers

Answer:

1467 divided by 58 equals

25 with a remainder of 17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

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