If YV = 23 ft, find the length of VYX to the nearest tenth.​

If YV = 23 Ft, Find The Length Of VYX To The Nearest Tenth.

Answers

Answer 1

The length of EC shown in the diagram is 66.2.

"To understand the calculation, check below."

Triangles

ΔBE - ΔAE = ΔAB

ΔAB = 180°- 117°

ΔAB = 63°

Δ[tex]BE-[/tex] Δ[tex]AB-[/tex] Δ[tex]BC[/tex] = Δ[tex]CD[/tex] (Congruent angles)

Δ[tex]CD= 180 - 63 - 15[/tex]

Δ[tex]CD=102[/tex]

[tex]EC = 102 + 63[/tex]

[tex]EC=165[/tex]

[tex]L = 165[/tex] • [tex]2\pi23/360[/tex]

[tex]L = 66.2[/tex]

Therefore, EC = 66.2

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Related Questions

buffy's beverages has increasing profits each week during the hot summer months. Buffy finds that each week his profits increase by 20% over what they were the previous week. In his first week of business his profits were $200

Answers

The exponential function that gives the profit after x weeks is given by:

[tex]P(x) = 200(1.2)^x[/tex].

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

In this problem:

Buffy finds that each week his profits increase by 20% over what they were the previous week, hence r = 0.2.In his first week of business his profits were $200, hence A(0) = 200.

Thus, the equation is given by:

[tex]A(x) = 200(1 + 0.2)^x[/tex]

[tex]A(x) = 200(1.2)^x[/tex]

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PLEASE ANSWER ASAP!!!!!!!!!!

Answers

Step-by-step explanation:

sqrt(5x - 2) <= 3

5x - 2 <= 9

5x <= 11

x <= 11/5

but also : 5x -2 >= 0

otherwise the square root is not valid for real numbers.

5x >= 2

x >= 2/5

so the solution is for all x out of R (real numbers), where

2/5 <= x <= 11/5

answer with procedure

Answers

Answer:

2

Step-by-step explanation:

there needs to be qtr with 88 by 779900

In the following exercises, write the first five terms of the sequence whose general term is given.
240. [tex]a_{n}=7 n-5[/tex]

Answers

Answer:

2, 9 , 16 , 23 , 30 ......

Step-by-step explanation:

[tex]a_n = 7n - 5[/tex]

       [tex]a_1 = 7*1 - 5 = 7-5 = 2\\\\a_2 = 7*2 - 5 = 14 - 5 = 9\\\\a_3 = 7*3 - 5 = 21 - 5 = 16\\\\a_4= 7*4 - 5 = 28 - 5 = 23\\\\a_5= 7*5 - 5 = 35 - 5 = 30[/tex]

please answer asap!!!!!

Answers

Answer:

It is B kid you need to study this is basic shhhhhiz

Step-by-step explanation:

Answer:

it is B kid you need to study

Please awnser the question does anyone want to help me with my math assignments

Answers

The two angles are supplementary angles and form a straight line which equals 180 degrees


x = 180 - 125

X = 55 degrees

Answer:

hope this will help you

Step-by-step explanation:

x+125=180

x=180-125

x=55°

What is the probability of pulling a card from a deck of 52 cards and getting a king and a queen?

Answers

Answer:

4/52 or 1/13

Step-by-step explanation:

In a standard deck of 52 cards, there are 4 suits and each suit has 13 cards.

There are 4 kings, 4 queens, 4 aces, and 4 jacks.

So the probability of drawing a king would be:
4/52 = 1/13

Answer:

The probability of drawing a King is 4/52 or about . 0769, which is also the probability of drawing a Queen. The probability that a card drawn from the deck will be both a King and a Queen is zero. The probability that a card will be either a King or a Queen is 8/52.

Step-by-step explanation:

52 cards in a deck 4 queens and 4 kings

Mary bought an aquarium that is cuboid in shape. The bottom is a rectangle with sides of 50 cm and 70 cm. The height of the aquarium is 4 dm. Find how many gallons of water this aquarium can hold. How much a square decimeter of glass was used to make the aquarium when it was open at the top and the bottom was plastic?

Answers

Answer:

Area of the paper required =7000 cm²

Step-by-step explanation:

Dimensions of an Aquarium:

Length (l) = 80 cm,

Breadth (b) = 30 cm,

Height (h) = 40 cm

/* According to the problem given,

Area of the paper required =

Area of the base + 2×Area of two side faces + Area of the back side

(Front side should be visible,So, it is not covered )

= lb+2×bh+lh

= 80×30+2×(30×40)+80×40

= 2400+2×1200+3200

= 2400+2400+3200

= 7000 cm²

Therefore,

Area of the paper required =7000 cm²

Step-by-step explanation:

Rewrite 4-3.4-18 using positive exponents.

Answers

Answer:

Step-by-step explanation:

4^-3

= 1/4^3

4^-18

= 1/4^18.

what are the solutions to 0=x^2-x+1?​

Answers

Answer: No solutions

Step-by-step explanation:

    There are no solutions to 0 = x² - x + 1.

[Method One]

   We can solve this by rewriting the equation, but it is quicker to graph it when there are no solutions. See attached.

[Method Two]

 I said we can solve this by solving an equation, here it is. We will use the quadratic formula since the equation given is already in the proper form.

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\displaystyle x=\frac{1\pm\sqrt{(-1)^2-4(1)(1)} }{2(1)}[/tex]

[tex]\displaystyle x=\frac{1\pm\sqrt{-3} }{2}[/tex]

   -> Negative numbers don't have real square roots, so there is no solution


What additional information do you need to prove the triangles are congruent by SAS

Answers

Answer:

Step-by-step explanation:

i need help please on PART B Thanks​

Answers

Answer:

  (a)  1 and 8

  (d)  64 and 125

Step-by-step explanation:

In addition to the cubes of 2 through 11 that you found in question 1, it is convenient to add 1³ = 1 to the list for the purpose of answering this question. The cubes of the first 11 integers are ...

  1, 8, 27, 64, 125, 216, 343. 512, 729, 1000, 1331

__

This question is asking you to find the numbers on either side of any that are not on the list:

  (a)  2 is between 1 and 8

  (d)  100 is between 64 and 125

a A boat is heading towards a lighthouse, where Lillian is watching from a vertical distance of 145 feet above the water. Lillian measures an angle of depression to the boat at point A to be 10°. At some later time, Lillian takes another measurement and finds the angle of depression to the boat (now at point B) to be 68°. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.​

Answers

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance from point A to point B is 763.752ft.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

A.) The distance between the boat and the lighthouse when the angle of depression is 10°.

Tan(10°) = Height of lighthouse/ distance between the boat and the lighthouse

Distance between the boat and the lighthouse

= 145/Tan(10°) = 822.336ft

B.) The distance between the boat and the lighthouse when the angle of depression is 68°.

Tan(68°) = Height of lighthouse/ distance between the boat and the lighthouse

Distance between the boat and the lighthouse

= 145/Tan(68°) = 58.584ft

The distance between point A and B = 822.336ft - 58.584ft = 763.752 ft

Hence, the distance from point A to point B is 763.752ft.

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Answer:

764

Step-by-step explanation:

Rounded. Just did the question

There are 48 cards in a pack and each card is either red or black.
The ratio of the number of red cards to the number of black cards is 1 : 1
8 red cards are removed from the pack.
Find the ratio of the number of red cards now in the pack to the number
of black cards now in the pack.
Give your answer in its simplest form.

Answers

Answer:

2 : 3

Step-by-step explanation:

Given :

Ratio of black cards and red cards = 1 : 1Total cards = 48

Solving :

Let the cards be denoted by xx + x = 48x = 24 of each (red and black)

8 red cards have been removed from the pack.

So, now the ratio is :

Red : Black = 24 - 8 : 24Red : Black = 16 : 24Red : Black = 2 : 3

#11 can someone help with this and also explain how they found the answer so ik how to do it

Answers

Answer:

24 units

Step-by-step explanation:

I really don't understand this, except for the fact that i found a workbook that has an answer with no work

hope this helps?:)

Find the center and radius of the circle represented by the equation below.

Answers

Answer:

Centre (5,-9) and radius is 14

Step-by-step explanation:

The circle equation is of form,

[tex] = > {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} [/tex]

where centre is (a,b) and radius is 'r'.

How many times can you subtract the number five from 25.

Answers

Answer:

one time

Step-by-step explanation:

because after that you would subtract by 20

Please Help I Don't Understand!

Answers

Answer:

the aa similarity postulate

Step-by-step explanation:

no sides are given and we can not simply assume the sides are congruent, however we do know two of the angles on both triangles are the same allowing us to know that the third therefore must also be the same.

both traingles share angle MAN

and AMN and ABC are equal so therefore

angle ANM and ACB must also be the same

HI IM GIVING BRAINLIESST CAN SOMEONE PLEASE EXPLAIN AND HELP

Answers

Answer:

∠FDE or ∠GDA

Step-by-step explanation:

The adjacent angle refers to the angle which lies right next to an angle, and the sum of the angles is 180, meaning they are supplementary.

Here, in this diagram, there are 2 adjacent angles for ∠FDG :

∠FDE∠GDA

diring the repair the mechanics will need to connect a cable between chairs b and j, and then continue that cable to chair g. what is the anhle formed by the cable

Answers

The angle that will be formed by the cable based on the information given will be 15°.

How to calculate the angle?

From the complete information, it's important to divide the total angle by 12. This will be:

= 360°/12 = 30°

Then, the relations that will be used will be:

= 1/2(60° - 30°)

= 1/2 × 30°

= 15°

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Surface Area
For the two figures below, the base area and the heights have been provided.
Figure A
Figure B
4 cm
5 cm
25 cm?
20 cm
what the volume for both figures?

Answers

Answer:

V of both A and B is 100 cm³

Step-by-step explanation:

the volume (V) of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

A

A = 20 and h = 5 , then

V = 20 × 5 = 100 cm³

B

A = 25 and h = 4 , then

V = 25 × 4 = 100 cm³

I need help with this equation. Please solve for k

Answers

Hey there!

18 = -k + 3

-k + 3 = 18

-1k + 3 = 18

SUBTRACT 3 to BOTH SIDES

-1k + 3 - 3 = 18 - 3

SIMPLIFY IT!

-1k = 18 - 3

-1k = 15

DIVIDE -1 to BOTH SIDES

-1k/-1 = 15/-1

SIMPLIFY IT!
k = 15/-1

k = -15


Therefore, the answer is: k = -15



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Given: f(x) = -2x² +x+6
5.1 Calculate the coordinates of the turning point of f.​

Answers

Answer:

[tex]\left(\dfrac{1}{4},\dfrac{49}{8}\right)[/tex]

Step-by-step explanation:

Turning points (stationary points) occur when the gradient of a graph is zero.

To find when the gradient of the graph is zero, differentiate the function, set it zero, then solve for x.

Given function:

[tex]f(x)=-2x^2+x+6[/tex]

Differentiate:

[tex]\implies f'(x)=(2)(-2)x^{2-1}+(1)x^{1-1}+6(0)[/tex]

[tex]\implies f'(x)=-4x+1[/tex]

Set the differentiated function to zero and solve for x:

[tex]\implies f'(x)=0[/tex]

[tex]\implies -4x+1=0[/tex]

[tex]\implies 4x=1[/tex]

[tex]\implies x=\dfrac{1}{4}[/tex]

To find the y-coordinate, input the found value of y into the given function:

[tex]\implies f\left(\dfrac{1}{4}\right)=-2\left(\dfrac{1}{4}\right)^2+\left(\dfrac{1}{4}\right)+6[/tex]

[tex]\implies f\left(\dfrac{1}{4}\right)=\dfrac{49}{8}[/tex]

Therefore, the turning point of the function is:

[tex]\left(\dfrac{1}{4},\dfrac{49}{8}\right)[/tex]

answers

f=1/4=49/8

Step-by-step explanation:

identify the coefficients

a=-2, b=1

substitute the coefficient into the expression

x= -1/((2x(-2))

then solve it out the equation

x=1/4

evaluate the function x =1/4

f(x) =-2x²+x+6(1/4)

f=1/4=49/8

Need help with this problem

Answers

can you help with my out too ?


Point B is between A and C. If AB = 3x, BC = 4x-2, and AC = 12, find the length of BC

Answers

Answer:

BC = 6 units

Step-by-step explanation:

given that B is between A and C , then

AB + BC = AC ( substitute values )

3x + 4x - 2 = 12

7x - 2 = 12 ( add 2 to both sides )

7x = 14 ( divide both sides by 7 )

x = 2

Then

BC = 4x - 2 = 4(2) - 2 = 8 - 2 = 6

Answer:

6

Step-by-step explanation:

from the question, since point B is between Ac

AC = AB + BC

12 = 3X+4X -2

3X+4X-2 = 12

7X = 12+2

7X = 14

dividing bothsides by 7

7X/7 = 14/7

X = 2

the length BC = 4X-2 = 4(2)-2 = 8-2= 6

length of BC = 6

Valentina has a tray where she keeps all of her important papers. the tray is in the shape of a rectangular prism with no top. a rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches. what is the volume of papers that the tray can hold? 160 inches cubed 180 inches cubed 280 inches cubed 300 inches cubed

Answers

The volume of a rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches is 300 cubic inches

Volume of a rectangular prismLength= 12 inchesWidth = 10 inchesHeight = 2.5 inches

Volume of a rectangular prism = length × width × height

= (12 × 10 × 2.5) inches

= 300 inches

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What is the answer please?

Answers

Answer: D (bottom option)

Not Congruent

Step-by-step explanation:

Assuming the trapezoids are to scale, they are not the same shape. This means that they could not be congruent even if they were centered on top of each other.

the area of the trapezoid is 40 square millmeter

Answers

Answer: what is the question? I will gladly sovle it

Step-by-step explanation:

tell me your questions and i will solve it asap. i know the area is 40 square millmetres but if you have a question i will gladly answer it.

3) If 5 pencils costs $0.75, 7 pencils will cost
Your answer
dollars. *

Answers

5x0.75 = $3.75

Multiply the number of pencils to how much each one costs

Answer:

$1.05

Step-by-step explanation:

Find the unit price by dividing $0.75 by 5.

$0.75/5 = $0.15

Now find the price of 7 pencils by multiplying 7 and the unit price of $0.15.

$0.15 x 7 = $1.05

3
x + 2
3
3
12
32
12
Solve for x.

Answers

Answer:

6

explanation

[tex]since \: they \: are \: similar \\ \frac{x + 2}{32} = \frac{3}{12} \\ crossmultiplying \\ 32 \times 3 = 12(x + 2) \\ 96= 12x + 24 \\ 12x = 96 - 24 \\ 12x = 72 \\ dividing \: bothsides \: y \: 12 \\ x = \frac{72}{12} \\ x = 6[/tex]

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