In ΔVWX, w = 490 inches, ∠W=31° and ∠X=79°. Find the area of ΔVWX, to the nearest square inch.

Answers

Answer 1

Answer:

= 215008. 21 in²

Step-by-step explanation:


Related Questions

You make a scale drawing of a garden plot using the scale 2 in. 517 ft. If the length of a row of vegetables on the drawing is 3 in., how long is the actual row?
a. 17 ft b. 25.5 ft c. 34 ft d. 42.5 ft

Answers

The answer would be B- 25.5

if sinA=1/2 then find sinA +cos A

Answers

Step-by-step explanation:

Given sinA – cosA = 1/2 squaring on both the sides, we get (sinA – cosA)2 = (1/2)2 ⇒ sin2A + cos2A – 2sinA cosA = 1/4 ⇒ 1 – 2sinA cosA = 1/4 ⇒ 1 – (1/4) = 2sinA cosA ⇒ 2sinA cosA = 3/4 ∴ sinA cosA = 3/8  → (1) (sinA + cosA)2 = (sinA – cosA)2 + 4sinA cosA                         = (1/2)2 + 4(3/8)                         = (1/4) + (3/2) = 7/4 (sinA + cosA) = √(7/4) = (√7)/2 .

Given that,

[tex]\sin A = \dfrac 12\\\\ \implies \sin^2 A = \dfrac 14\\\\\ \implies 1-\cos^2 A = \dfrac 14\\\\\ \implies \cos^2 A = 1 - \dfrac 14 = \dfrac 34\\\\\ \implies \cos A = \pm \dfrac{\sqrt 3}2\\\\\text{Case 1:}\\\\\sin A + \cos A = \dfrac 12 + \dfrac{\sqrt 3}2 = \dfrac{1 + \sqrt 3}2\\\\\text{Case 2:}\\\\\sin A + \cos A = \dfrac 12 +\left(- \dfrac{\sqrt 3}2\right) = \dfrac 12 - \dfrac{\sqrt 3}2=\dfrac{1 - \sqrt 3}2[/tex]

6x + 2(5x-6) distributive property

Answers

Answer:

16x - 12

Step-by-step explanation:

6x + 2(5x - 6)

then 2 * 5 = 10x

then 2 * (-6) = -12

that will be 10x - 12

then you have 6x + 10x -12

combine the like terms which are 6x and 10x

then 16x - 12

The solution of the equation will be (16x - 12).

What is Distributive property?

By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.

The expression is given as;

6x + 2(5x - 6)

Now,

Apply distributive property we can solve the equation as;

6x + 2(5x - 6)

6x + 2 × 5x - 2 × 6

6x + 10x - 12

16x - 12

Thus, The solution of the equation will be (16x - 12).

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Graph the line with the slope of -4 and passing through ( 3, 5 ).​

Answers

Answer:

See graph below of the line y - 5 = - 4 (x - 3) OR  y = -4 x + 17    

Step-by-step explanation:

We can write the equation for such a line using the point-slope form [(y - y₁) = m (x - x₁)] where m = - 4 & (x₁ , y₁) = ( 3, 5 ). We can then find the x and y-intercept. The line we draw through these three points will be the line we are trying to find.

Equation of the Line

y - 5 = - 4 (x - 3)

Finding x and y-intercepts

y-intercept is 'c' when the line is in the slope-intercept form (y = mx + c)

since y - 5 = - 4 (x - 3)

         y - 5 = -4 x + 12

              y = -4 x + 17    

            ∴ point of the y-intercept is (0, 17)

x-intercept occurs when y = 0

 y = -4 x + 17  

 0 = -4 x + 17

-17 = -4x

   x = ¹⁷/₄

            ∴ point of the x-intercept is (¹⁷/₄, 0)

Graph the line

We can now plug in the points and draw the line.

See the example below.

Note: You only need two points to graph the line. I just did a third as a check.

anyone know this??? please help, help!!! thanks!

Answers

Answer:

c. -19

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given a polynomial in standard form

The leading coefficient is the coefficient of the variable with the largest exponent.

The term with the largest exponent of the variable is

[tex]\frac{1}{4}[/tex] [tex]x^{5}[/tex]

Then the leading coefficient is [tex]\frac{1}{4}[/tex] → A

Find the perimeter. Simplify your answer.

Answers

Answer:

26s +24

Step-by-step explanation:

The perimeter is the total length of all its sides.

Perimeter

= 10s +3 +3s +9 +10s +3 +3s +9

= 10s +3s +10s +3s +3 +9 +3 +9

= 26s + 24

Find the area! Explain all thinking!! Thank you! <3

Answers

Answer:

80

Step-by-step explanation:

you can divide the shape into a square and a rectangle, the square being the 7 by 10 area. by that logic, you can find the area of that portion to be 70. now you have the cut off rectangle to find, and you know one side is 2. to find the other side, you have to subtract 7 from 12 because by doing that you get the value of just that portion of the side. by doing that you get 5. going from there, you can multiply 2 by 5 to get 10 for the area of the rectangle. now you have to add 70 and 10, and you get 80!

hope this helped :D

the answer is 80 because of the rule of congruent shapes pls make me brainliest as i need one more to move up hope this helps and have a great day :)

solve pls brainliest

Answers

Answer:

1) YES

2)NO

3)YES

4)YES

5)YES

Step-by-step explanation:

HOPE IT CAN HELP YOU LOVELOTS

Elian, a dishwasher in a restaurant, stacks clean dishes on shelves that can hold up to 12 dishes. Each of these shelves holds 4 stacks of dishes each. How many dishes can he fit onto 6 shelves?

Answers

Answer:

i think seventy two......72

I need help please each number has its own equation number it off please

Answers

1) 22 is less than or equal to 5x-3
2) x/8 -5 > -6/10
3) 2+x is greater or equal to 12x4

Find the quarter point of y=1/2sin(2x+π)

Answers

Answer:

32

Step-by-step explanation:

y = 1/2sin[2(x + π/2)]. Now you can read that the graph is shifted from its standard starting position at (0, 0) left by π/2 and the period ...

A ski resort is building two parallel straight ski slopes for children. One of them has a gradient of 1/3. The other ski slope will pass through points (2,-3) and (s,-5). Find the value of s

Answers

Answer: s= -8

Step-by-step explanation:

The gradient of the ski slope can ge used as the slope (literally) of a line equation:

y = mx + b,

where m is the slope and b the y-intercept (the value of y when x = 0).

The first slope would be y = -(1/3)x + b.

The slope is (-1/3) since the ski run is headed downhill.  The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").

y' = -(1/3)x' + b

We may assume that b is the same for both slopes - they start and end at the same point.

We can find b by using the given point (2,-3):

y' = -(1/3)x' + b

-3 = -(1/3)(2) + b

-3 = -(2/3) + b   [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]

-7/3 = b

b = -(7/3)

The second ski slope, y', thus has the equation

y' = (1/3)x' -(7/3)

We want the value of s in (s, -5).

y' = (1/3)x' -(7/3)

-5 = (1/3)s -(7/3)

(1/3)s = -5 +(7/3)    [-15/3 + 7/3 = -8/3]

(1/3)s = -(8/3)    [Multiply both dies by 3]

s = -(24/3)  

s = -8

Please I need a Hand
*How much money was in Caroline's account when it was opened? Explain.

*After 2 years, how much money would Caroline have saved? (Hint - convert years to months before solving). To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

  A) $3100

  B) $6700

Step-by-step explanation:

A)

The first table entry is the value of the opening balance of Caroline's account.

$3100 was in Caroline's account when it was opened.

__

B)

After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...

  24 × monthly deposit + initial balance

  = 24 × $150 + $3100 = $3600 +3100 = $6700

Caroline would have saved $6700 after 2 years.

Please help i attached a link below to the graph

Write the linear inequality shown in the graph. The gray area represents the shaded region.

y ≥ –x – 4
y ≥ –x + 4
y ≤ –x – 4
y ≤ –x + 4

Answers

Answer: y ≤ -y+4

Step-by-step explanation:

The line in the graph:

Taking two points, we can calculate the slope of the line.  I'll pick (0,4) and (4,0)

Rise/Run (slope):  Rise (0-4) = -4, Run = (4-0) = 4.  Slope is -4/4 or -1.

The y-intercept is 4 (the value of y when x is zero).

The equation for the line is y = -x + 4.  The shades area includes all points on and under this line, so y ≤ -y+4.


If a = 7 and b = 2, find the value of
a) a - b
b) 2a + 3b
c) 2ab
d) (a - b)^2

Answers

Answer:

(1) 5

(2) 20

(3) 28

(4) 25

Step-by-step explanation:

(1)

Substitute: 7 - 2

Calculate the sum or difference:

Answer: 5

(2)

Substitute: 2 × 7 + 3 × 2

Calculate the product or quotient: 14 + 6

Calculate the sum or difference: 20

Answer: 20

(3)

Substitute: 2 × 7 × 2

Calculate the product or quotient: 28

Answer: 28

(4)

Substitute: (7 - 2) ²

Calculate the sum or difference: 5²

Calculate the power: 25

Answer: 25

Answer:

Step-by-step explanation:

7-2=5

2×7+3×2=20

2×7×2=28

(7-2)^2

7-2=5

5^2=25

Given: Two distinct circles that are tangent to each other at a common point. How many tangent lines can be drawn that touch both circles?



3
1
2

Answers

there are only 3  tangent lines can be drawn that touch both circles

ok done. Thank to me :>

answer it its a easy pionts no links or ill report u and u will not get brianly anymore pease answer it plsssss​

Answers

Answer:

8:112 third blank put 14

PLEASE HELP FAST!!!!!
1. Which number has a real component of 16 and an imaginary component of 10?
A: 16 + 10i
B: 10+ 16i
C: 16 - 10i
D: 10 - 16i

Answers

Answer:

A: 16 + 10i

Step-by-step explanation:

The numbers are in the form of:

a + bi, where a - real component, b - imaginary component

When a = 16, b = 10 the number is:

16 + 10i

Correct choice is A

Tell 3 numbers that are less than 2 and greater than −1.

Answers

Answer:

0 and 1 and -2 and -3

Step-by-step explanation:

Do they have to be whole numbers?
If not, then 0, 1, and 1.75.

please help me with this question!!

Answers

Answer:

\(x = 1\)

Step-by-step explanation:

Based on the given conditions, formulate: \(x = 12 \div 12\)

Cross out the common factor:\(x = 1\)

Answer: \(x = 1\)

If f(1)=3f(1)=3 and f(n)=f(n-1)^2-3f(n)=f(n−1) 2 −3 whatsthe value of f(4)f(4)

Answers

Answer:

Step-by-step explanation:

So you can do that for me and you have a lot to say I don’t want you have a lot

nico wanted to determine the number of students in his school who buy school lunch. he walked around the cafeteria one lunch period looking to see whether every fifth person in the cafeteria purchased lunch or brought their own. which method did he use to collect his data? survey simulation experiment observational study

Answers

Answer:

Observation

Step-by-step explanation:

He walked around seeing if every fifth person bought lunch

Survey - Requires asking questions

Simulation - Needs prior data to make an estimation

Experiment - Testing something

Observation - Just observing and watching

Study - Looking up data

The method he used to collect his data is observational method.

When do we perform observational study, sample survey, controlled experiment, or random experiment?

Observational study is usually chosen when the researches the system is likely to produce different result if interfered.

Sample survey is done if the population is too big to analyze or destructible as the analysis occurs.

Controlled experiment is done manually, specifically to deduce conclusions. Its steps are fixed.

Random experiment is done specifically to deduce conclusions, but it is done in a random manner.

We are given that;

He saw every fifth person in cafeteria

Now,

An observational study is a method of collecting data by observing and recording the behavior or characteristics of individuals or groups without interfering or manipulating any variables. Nico did not ask any questions or change any conditions, he just observed whether every fifth person in the cafeteria bought lunch or brought their own.

Therefore, by sampling the answer will be observational method.

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4.875 = d - 2.125

what do I do here?​

Answers

Answer:

d=7

Step-by-step explanation:

7-2.125= 4.875

7 is your answer as it balances both sides of the equation.

i got seven by adding 2.125. to 4.875

Answer:

Step-by-step explanation:

1. add 2.125 to both sides of your equation

4.875 = d - 2.125

+2.125        +2.125

7 = d

The d is now isolated which allows us to see the answer is 7 for d

4) The original value of a painting is $9,000 and the value increases by 7% each year. In what year,
will the painting be worth $50,000? Show all work.

Answers

Answer:

The year will be 5 years from the starting year

Step-by-step explanation:

because if you add 7% by 9,000 until you get 50,000 just count how many times you added

Which properly illustrated in the statement (-2)(+5) = (+5)(-2)?

Answers

Answer: 7

Step-by-step explanation:

it is trust me.

I just want to double check if I did this right

Answers

Yea, it’s right! Great job!


A city planner wants to build a road perpendicular to D Street. What should be the slope of the new road?

Answers

Answer:

  0

Step-by-step explanation:

The slope of D street on this graph is "undefined." A perpendicular will have a slope that is zero. That is, D is a vertical line on the map, so the perpendicular will be a horizontal line.

The slope of the new road should be zero.

The length of a rectangle is 20cm longer than its width.
The area of the rectangle is 1000cm?
Find the width and length of the rectangle.
Give your answers in surd form.

Answers

[tex]\text{Width} ~= w ~ cm \\\\ \text{Length}~,l = (20+ w) ~ cm \\\\\text{Area of rectangle} = 1000 cm^2\\\\\\\text{Now,}\\\\l \cdot w = 1000\\\\\implies (20 + w) w= 1000\\\\\implies w^2 +20w -1000=0\\\\\\\implies w = \dfrac{-20 \pm \sqrt{20^2 - 4 \cdot 1 \cdot (-1000)}}{2 \cdot 1}\\\\\\\implies w = \dfrac{-20 \pm \sqrt{4400}}{2}= \dfrac{-20\pm 20\sqrt{11}}2 = -10 \pm 10\sqrt{11}\\\\\text{Width cannot be negative so,} \\\\w= -10+10\sqrt{11}=10\left(\sqrt{11} - 1 \right) ~ cm\\\\[/tex]

[tex]\text{And length,}[/tex]

[tex]l= 20+ 10\left(\sqrt{11} - 1} \right) = 20 + 10\sqrt{11} - 10 = 10 + 10\sqrt{11} = 10 \left(1+ \sqrt{11} \right)~ cm[/tex]

Which number has a 5 in it that’s 10 times the 5 in 13.725

Answers

Answer:

0.05

Step-by-step explanation:

10*.005

The denominator of a fraction is 8 more than its numerator. If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2. Find the fraction

pleases help as soon as possible..thank you so much

Answers

Answer:

The fraction is 13/21.

Step-by-step explanation:

The denominator of a fraction is 8 more than its numerator.

Let x be the numerator: x

So the denominator is: x + 8

[tex]\frac{x}{x + 8}[/tex]

If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2.

It will become:

[tex]\frac{x - 1}{x + 8 + 3} = \frac{1}{2}[/tex]

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

Now, by using cross multiplication, multiply (x - 1) by 2 and (x+11) by 1.

It will become:

2x - 2 = x + 11

Now transpose and combine the same values. Make sure to change the integer sign. If the integer is positive, change it to negative when you transpose it.

2x - x = 11 + 2

x = 13

So the value of x is 13. Now to check if it is correct. Go back to the equation([tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex])

Put the value of x in it.

[tex]\frac{13-1}{13+11} = \frac{1}{2}[/tex]

[tex]\frac{12}{24} = \frac{1}{2}[/tex]

12/24 is equivalent to 1/2 so that is correct.

Now, to find the main fraction. Go back to the original equation which is;

([tex]\frac{x}{x + 8}[/tex])

Put the value of x.

[tex]\frac{13}{8 + 13}[/tex]

= 13/21

Not a verified expert but I put much effort to answer your question. Hope it helps:)

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