Consider the following figure.

Consider The Following Figure.

Answers

Answer 1

Answer:

BD = 16

Step-by-step explanation:

By applying mean proportional theorem in the given right triangles,

[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]

AD × CD = BD²

8 × 32 = BD²

BD = √256

BD = 16

Therefore, measure of side BD = 16 units.


Related Questions

Amanda wants to buy 15 dollars worth of candy. The gummy worms cost $1.50 per pound and the peanut
butter cups cost $3 per pound. Let x be the amount of gummy worms in pounds and y be the amount of peanut
butter cups in pounds.

Answers

Answer:

C = $1.50x + $3y

Step-by-step explanation:

Using the information provided we can create an equation to model the total dollar cost of Amanda's purchase when visiting the candy store. To do this we need to multiply each candies individiual cost by the amount of each candy they are purchasing. Then we add together all of these values to get the final total cost which would be represented by C.

C = $1.50x + $3y

Aceiling fan is pictured below. The tip of one of the fan blades is labeled point A. Point A is 28 inches away from the center of the fan. What is the circumference for point A on the fan to travel one full revolution? C=217 A 2 STT Inches 656 inches C 168 inches
D 112 inches ​

Answers

Answer:

B. 56π

Step-by-step explanation:

Circumfrance = 2πr OR πd(r*2)

C = 2π(28) -> C = 56π

OR

C = π(28*2) -> C = 56π

Answer:

B (56π)

Step-by-step explanation:

 

Circumference = 2πr or πd

C = 2π(28) (after completing this step:) C = 56π

Thus, C = 56π

Tags:

math,math,B (56π),pi,pie,area,circumfrence,diamater,radius,brainly,brainliest,Aceiling fan is pictured below. The tip of one of the fan blades is labeled point A. Point A is 28 inches away from the center of the fan. What is the circumference for point A on the fan to travel one full revolution? C=217 A 2 STT Inches 656 inches C 168 inches

Solve for x in the diagram below.
(x + 54)
5xº
o
=

Answers

Answer:

x=6

Step-by-step explanation:

according to the question :-

(x+54)+5x=90

x+54+5x=90

6x+54=90

6x=90-54

6x=36

x=36/6

x=6

Anyone Knows algebra??? the answer choices are “ A: 1 and 2
B: 3 and 6
C: 1 and 4
D: 1 and 5”

Answers

Answer:

B(3 and 6)

Step-by-step explanation:

Uhm, this isnt algebra, this are basic geometry rules, 3 and 6 are alternate angles

In ΔIJK, j = 800 cm, k = 240 cm and ∠I=173°. Find the area of ΔIJK, to the nearest square centimeter.

Answers

Answer:

11699 square centimeters

Step-by-step explanation:

In ΔIJK, j = 800 cm, k = 240 cm and ∠I=173°. Find the area of ΔIJK, to the nearest square centimeter.

When given two sides of a triangle and an angle, the area of the triangle is calculated as:

1/2jksintheta

theta = 173°

Hence:

Area of triangle =

1/2 × 800 × 240 × sin 173

= 11699.456967 square centimeters

Approximately = 11699 square centimeters

can someone please explain this to me. thank you!

Answers

Answer:

b

Step-by-step explanation:

What is the other zero of the quadratic function?

Answers

Answer:

he zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

edge 2021

plz help giving brainlest

Answers

Answer:

190

Step-by-step explanation:

are of rectangle is length times width

19 times 10 = 190

Answer:

190km

Step-by-step explanation:

If we're trying to find an area of a rectangle, we're going to use the following formula:

a=l×w

A being our answer, area, l being length, our 19km, and w, being our width, our 10km.

We multiply 19 and 10 and get the result 190km!

I hope that this helped out!

Have a good rest of the day/evening.

why does the acute triangle go under polygon

Answers

an acute triangle has all angles measuring less than 90°. note: it is possible for an acute triangle to also be scalene, isosceles, or equilateral

A cereal box has a length of 4 inches, a width of 5 inches,
and a height of 8 inches. What is the volume of the box?
Justify your answer

Answers

Answer:

160

Step-by-step explanation:

base x width x height = volume

4x5x8=160 in^3

That's all there is to volume of a box

Hope that helps :)

Answer:

160 yet it's supposa be in Cuboid e.g. 160cm3

Step-by-step explanation:

Volume=L×H×W

= 4×5×8

=160

In the figure ∆XYZ ≅ ∆MNL

Find m∠Y

Answers

Answer:

Step-by-step explanation:

If similar Y=N=124 degrees

Linda finished her chemistry homework in 1/5 hours. Then she completed her math assignment in 2/3 hours. What was the total amount of time Linda spent doing these two assignments

Answers

Answer: 52 minutes

Change denomniators by multiplying by 5 and 3

1/5 x 3 = 3/15

2/3 x 5 = 10/15

Add

3/15 + 10/15 = 13/15

Multiply by 4 to get minutes

13/15 x 4 = 52/60

Answer:

52 minutes

Step-by-step explanation:

Chemistry hw: 1/5 x 60 min=12 min

Math assignment: 2/3 x 60 min = 40 min

Total time: 12 min + 40 min = 52 min

PLSSS HURRY!!!

Here are the answer choices

A. counterclockwise rotation

B.Clockwise rotation

C.90 rotation

D. 45 rotation

E. 180 rotation

Answers

Answer:

B. Clockwise Rotation

Step-by-step explanation:

i hope it helps ;)

B. Cya adrianna ps. U shouldn’t include ur name in the photos

A=2(b-c) solve for b
I need help please

Answers

Answer:

[tex]\frac{A+2c}{2}[/tex] = b

Step-by-step explanation:

A = 2(b-c)

Distribute

A = 2b - 2c

+2c         +2c

A + 2c = 2b

/2           /2

[tex]\frac{A+2c}{2}[/tex] = b

A cube has a surface area of 126 feet. What is the area of one face?

Answers

Answer:

21 square feet

Step-by-step explanation:

A cube has 6 faces, therefore 126/6 = 21 sq/ft the area of 1 face

The area of one face of a cube is 21 feet.

What is the surface area of cube?

Surface area of cube is the sum of areas of all the faces of cube, that covers it.

The formula for surface area is equal to six times of square of length of the sides of cube.

A cube has a surface area of 126 feet.

The area of one face is given by;

[tex]\rm Area \ of \ one \ face=\dfrac{Surface \ area}{Total \ number \ of \ faces}\\\\ Area \ of \ one \ face=\dfrac{126}{6}\\\\ Area \ of \ one \ face=21[/tex]

Hence, the area of one face of a cube is 21 feet.

Learn more about cube here;

https://brainly.com/question/22241530

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PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!

What are the equation and slope for the graph and it's corresponding table below?

Answers

Answer:

x=2

Step-by-step explanation:

Answer

x=2

Step-by-step explanation:

Insert 16 rational numbers between 2.1 and 2.2​

Answers

Answer:

We will apply the formula of d=y- x/n+1

Let y be 2.2 and x be 2.1 and n= 16

Then 2.2-2.1/ 16+1

0.1/17

x+d= 2.1 + 0.1 = 2.2

x+2d= 2.1+2×0.1=2.3

x+3d= 2.1+3×0.1=2.4

x+4d= 2.1+4×0.1=2.5

x+5d=2.1+5×0.1=2.6

x+6d=2.1+6×0.1=2.7

x+7d=2.1+7×0.1=2.8

x+8d=2.1+8×0.1=2.9

x+9d=2.1+9×0.1=3

x+10d=2.1+10×0.1=3.1

x+11d=2.1+11×0.1=3.2

x+12d=2.1+12×0.1=3.3

×+13d=2.1+13×0.1=3.4

x+14d=2.1+14×0.1=3.5

x+15d=2.1+15×0.1=3.6

x+16d=2.1+16×0.1=3.7

Step-by-step explanation:

mark brainlyest plz it really helps

The diagonals of the figure below represent the support beams for a patio covering.
B
E
30°
10 yards
M
A
What is the length of each support beam?
o 10 yards and 10x/3 yards
O 5 yards and 53 yards
O 10 yards and 5 yards
O 15 yards and 5 yards

Answers

Answer:B

Step-by-step explanation:

Took the test

Does anyone have any clue? Also sorry if I'm being a bother to anyone.

Answers

Answer:

4x^2 / y

Step-by-step explanation:

Rewrite the equation

(24x^3/5x) x 15/18y

then we can simply get the answer of 4x^2 / y

How does Ray Bradbury's description of Margot's appearance in "All Summer in a Day" also give insight into her feelings?

Answers

Answer:

The description of Margot as a frail girl who had lost her vibrancy shows that she was in eager anticipation of the rain.

Step-by-step explanation:

The short story, "All Summer in a Day", tells of how a girl named Margot always stood differently from her classmates because she eagerly anticipated a time when the sun will come out as the scientists projected. It had been raining in this planet, Venus for seven years non-stop.

Margot who came from planet earth some five years ago could still clearly recall how the sun looked like and despite her description of it, the children still doubted her. On the day the sun finally came, the children locked Margot in a closet and she was unable to see the sun.

A reflecting telescope contains a mirror shaped like a parabola of revolution. If the mirror is 16 inches across at its opening and is 2 feet deep, where will the light be concentrated?

Answers

Answer:

18

Step-by-step explanation:

Translate algebraic expression into a word phrase: 2 ( 5 + t )

Answers

Answer:

two times the sum of a number and 5

Step-by-step explanation:

Find the indicated side of the triangle.
b
45°
a
28
[?]
a =
... need help asap!!

Answers

Answer:

[tex] a = \frac{28}{ \sqrt{2} } [/tex]

Step-by-step explanation:

[tex] \sin \: 45 \degree = \frac{a}{28} \\ \\ \frac{1}{ \sqrt{2} } = \frac{a}{28} \\ \\ a = \frac{28}{ \sqrt{2} } [/tex]

The side of "a" of right angled triangle is  [tex]\frac{28}{\sqrt{2} }[/tex] .

What is trigonometric ratio?

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below,

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ      = Base/Perpendicular

According to the question

In right angle Δ

Hypotenuse = 28

Base for ∠45° = b

Perpendicular for ∠45° = a

now , Using trigonometric ratio

sin θ [tex]= \frac{Perpendicular}{Hypotenuse }[/tex]

sin 45° = [tex]= \frac{a}{28}[/tex]

[tex]\frac{1}{\sqrt{2} } = \frac{a}{28}[/tex]

a = [tex]\frac{28}{\sqrt{2} }[/tex]

Hence, side of "a" of right angled triangle is  [tex]\frac{28}{\sqrt{2} }[/tex] .

To know more about trigonometric ratio here:

https://brainly.com/question/25122825

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Write an equation in slope-intercept form: (1,6) and (2,3) are on the line

Answers

Step-by-step explanation:

eqn of line : y = mx+ c

m = slope or gradient

c = y-intercept.

Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)

[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]

Substitute x = 1 and y = 6 into equation,

[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]

Therefore substituting m and c value, equation of line is

[tex]y = - 3x + 9[/tex]

A gardener is planting two types of trees: Type A is 4 feet tall and grows at a rate of 24 inches per year. Type B is 5 feet tall and grows at a rate of 21 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.

Answers

It would take 5 yrs. for both trees to be the same height.

If you know how to do it, please help me out :)

Answers

Answer:

Answer in explanation.

Step-by-step explanation:

Lets take

[tex]y = \frac{3}{4} x - 5[/tex]

as L1.

Take L2 the line perpendicular to L1.

Standard form of equation of line:

y=mx+c, where m = slope and c = y-intercept.

Since L1 and L2 are perpendicular,

mL1 x mL2 = -1

Substitute mL1 into the equation,

3/4 x mL2 = -1

mL2 = -1 ÷ 3/4

mL2 = -4/3

L2 : y = mx+ c

Substitute y = 6, x = 8 and m = -4/3 into the equation,

[tex]6 = - \frac{4}{3} (8) + c \\ 6 = - \frac{32}{3} + c \\ c = 6 + \frac{32}{3} \\ = 16 \frac{2}{3} [/tex]

therefore L2:

[tex]y = - \frac{4}{3}x + 16 \frac{2}{3} [/tex]

Lets take L3 as the line parallel to L1.

Since L3 and L1 are parallel,

mL3 = mL1 = 3/4

equation of line: y = mx+c

substitute y = 6, x = 8 and m = 3/4 into equation.

[tex]6 = ( \frac{3}{4} )(8) + c \\ 6 = 6 + c \\ c = 6 - 6 \\ = 0[/tex]

therefore L3:

[tex]y = \frac{3}{4} x[/tex]


Parallelogram ABCD has
coordinates A(1,5), B(6,3),
C(3,1), and D(2,1). What are the
coordinates of E, the intersection
of diagonals AC and BD?

Answers

Answer:

Step-by-step explanation:

If 12% of the air leaks out of Brian's bicycle tire every day, what percent of the air will be left after 2 days? After a week? Round your percents to 2 decimal places.

Answers

Answer:

77.44%

49.87%

Step-by-step explanation:

If 12% leaks everyday, on the first day 12% would leak, leaving 100 - 125 = 88% of air

on the second day, 12% of 88% would leak = 0.88 x 0.12 = 0.1056

Air left on the second day = 88% - 10.56% = 77.44%

After a week = (100 - 12%)^7 = 49.87%

A train is traveling at a constant speed in miles per hour. Hours (x) Miles (y) Which equation models the data in the table? 1 20 2 100 O y=20x 3 180 O y = x + 80 4 260 5 340 Oy=60x – 80 O y = = 80x — 60​

Answers

Given:

A train is traveling at a constant speed in miles per hour.

The table of value is:

Hours (x)     Miles (y)

     1                  20

     2                 100

     3                 180

     4                 260

     5                 340

To find:

The equation for the given data table.

Solution:

It is given that the train is traveling at a constant speed in miles per hour. So, it is a linear relationship.

Choose any two point from the given table of value. Let the two points are (1,20) and (2,100). So, the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-20=\dfrac{100-20}{2-1}(x-1)[/tex]

[tex]y-20=\dfrac{80}{1}(x-1)[/tex]

[tex]y-20=80(x-1)[/tex]

Add 20 on both sides.

[tex]y=80(x-1)+20[/tex]

[tex]y=80x-80+20[/tex]

[tex]y=80x-60[/tex]

Therefore, the correct option is D.

HELP HELP PLEASE!! D:
Determine the missing side length!!
PLEASE NO CAP!!

Answers

Answer:

missing side length = 9

Step-by-step explanation:

[tex]c^{2} = a^{2} + b^{2}[/tex]

a = 6

b = 7

c = missing side

[tex]c^{2} = 6^{2} + 7^{2}[/tex]

[tex]c^{2} = 36 + 49[/tex]

[tex]c^{2} = 85[/tex]

[tex]\sqrt{c^{2} } = \sqrt{85}[/tex]

[tex]c = 9.219 = 9[/tex]

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