A. - 8/5

B. 5/8

C. - 5/8

D. 8/5​

Answer:

18units

Question:

The complete question as seen from other website is stated below:

The height of trapezoid VWXZ is 8(square 3) units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.

What is the length of the lower base, ZX?

Step-by-step explanation:

VW = 10units

WY = 8√3

XY = ?

ZX = ?

Find attached the diagram obtained from the information (1st image).

To determine XY, we would apply the tangent ratio.

Tan 60 = opposite/adjacent

Tan60 = (8√3)/XY

XY = (8√3)/ Tan60

In a 30°-60°-90° triangle theorem:

Find attached the diagram (2nd image)

Tan 60 = opposite/adjacent

Tan 60 = √3/1

Tan60= √3

XY = (8√3)/ Tan60

XY = (8√3)/√3

XY = 8units

ZX = ZY + XY

VW = ZY = 10units (the breadth of rectangle are equal)

ZX = 10 + 8

ZX = 18 units

Answer:

-8

Step-by-step explanation:

¾(¼x + 8) - (½x + 2) = ⅜(4-x) - ¼x

3x/16 + 6 - x/2 - 2 = 3/2 - 3x/8 - x/4

3x/16 + 4 - x/2 = 3/2 - 3x/8 - x/4

3x/16 - x/2 + 3x/8 + x/4 = 3/2 - 4

3x/16 - 8x/16 + 6x/16 + 4x/16 = 3/2 - 8/2

(3x - 8x + 6x + 4x)/16 = - 5/2

5x/16 = - 5/2

5x * 2 = -5 * 16

10x = - 80

x = -80/10 = -8

Answer:

The answer will be 0.75 chance of all of them being to together

Step-by-step explanation:

I think hope this helps ;)

Answer:

40 socks

Step-by-step explanation:

There are 48 socks in total inside the drawer. 2 pairs of white socks means four white socks. The worst possible scenario (however unlikely it is) is that Laura takes all of the red, blue and green socks before picking any white sock. From that point on, Laura has to pick four more socks in order to have two white pairs. In this scenario, there are 8 socks left in the drawer, all white. Therefore, the minimum number of socks that Laura must take to be sure that she has two pairs of white socks is:

[tex]n=(12*4) - 8\\n=40\ socks[/tex]

She must take at least 40 socks.

Answer: I answered most of your question below

Step-by-step explanation:

Well in basic high school math, you prolly will never HAVE to factor square binomials. It becomes more of an issue when you take the limit, and there is a zero in the denominator and blah blah.

But to answer your question. You can pretty much factor any trinomial with the basic rule. Sometimes youll have to complete the square because the trinomial wont be factorable until then. The main use of factoring trinomials tho is to find the value of x. Most trinomials usually equal 0 when youre in high school math. So you factor and make both equations equal 0. Another case where you might need to factor is when you are dividing a trinomial by a binomial. You can factor the numerator and denominator and potentially cross out two terms that divide to equal 1. Overall, its really helpful.

I never really felt the need to actually factor square binomials. Its the thing like a^2 - b^2 = (a + b)(a - b), right? Its basically the same thing with what i said about the dividing stuff. One of those terms might be the exact same as one of the terms from the factored trinomial. Then you can cross out two entire terms

A trinomial is an expression that has three terms.

Square trinomial

A square trinomial is simply a perfect square trinomial, and it is represented as:

[tex]\mathbf{a^2 + 2ab + b^2 = (a + b)^2}[/tex]

Difference of square binomials

This is easily identified because, the terms of the square binomials are perfect squares.

The difference of square binomials is represented as:

[tex]\mathbf{a^2 - b^2 = (a + b)(a - b)}[/tex]

Sums and difference of cubes

When cubes are added or subtracted, they can be expressed using the following

[tex]\mathbf{a^3 + b^3 = (a + b)(a^2 - ab + b^2)}[/tex] --- sum of cubes

[tex]\mathbf{a^3 - b^3 = (a - b)(a^2 + ab + b^2)}[/tex] --- difference of cubes

Read more about binomial and trinomial at:

https://brainly.com/question/12289266

Answer:

C.

Step-by-step explanation:

mVU = 70

According to a Theorem, mVU = 2(m<2)

So,

m<2 = mVU /2

m<2 = 70/2

m<2 = 35

Answer:

SSS postulate because three sides of a triangle are are congruent

Answer:

SSS

It is SSS because it is the end of the proof.

Answer:

5

Step-by-step explanation:

3-(-2)=5

Answer:

5

Step-by-step explanation:

It becomes 3+2 because the negatives cancel out.

Answer:

120%

Step-by-step explanation:

Because the answer is 1 1/5 that converted to a percentage(%) is 120%.  

9.53% people between the age 30 to 44 rated the movie as excellent.

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.

According to the given question.

We have a data of people of different ages who rated the movie as excellent, Average, and poor.

Now,

Total number of people between the age 30 to 44 who rated the movie excellent is 33

And, the total number number of people who watched the movie is 346.

Therefore, the percentage of people who are in between 30 to 44 and  rated the movie as excellent is given by

[tex]percentage = \frac{total\ number\ of\ people\ between\ 30\ to\ 44\ and\ rated\ movie\ as\ excellent\ }{total\ number\ of\ people\ who\ watched\ the\ movie}[/tex]

[tex]\implies percentage = \frac{33}{346} =9.53\%[/tex]

Hence, 9.53% people between the age 30 to 44 rated the movie as excellent.

Find out more about percentage here:

https://brainly.com/question/14699403

#SPJ3

Answer:

6000000 divided by 10 = 600000

Step-by-step explanation:

Your answer should make sense

Step-by-step explanation:

To find the area of a right triangle, you multiply the two legs of the triangle and then divide that result by 2. The reason this works is because a right triangle's area is exactly half  the area of a rectangle using the same legs.

Answer:

A=1/2bh

=1/2×4×8

=1/2×32

=16.

Answer: 4 terms and 8 factors

Step-by-step explanation:

^

Answer:

30pages

Step-by-step explanation:

20 is 2/3 so 10 is 1/3 so 3/3 is one book

Answer:

30 pages

Step-by-step explanation:

Answer:

work is shown and pictured

Answer:

20

Step-by-step explanation:

The triangles are similar so we can use ratios

8       32

---   = -----

8+5    32+x

Using cross products

8(32+x) = 32(13)

Divide each side by 8

(32+x) = 32(13)/8

32+x = 4*13

32+x =52

Subtract 32

x = 20

Answer:

(6x+4)(6x-4)

Step-by-step explanation:

a^2 - b^2 = (a+b)(a-b).

sqrt of 36x^2 is 6x; sqrt of 16 is 4.

a = 6x, b = 4.

Answer:

[tex] (6x - 4)(6x + 4) \\ [/tex]

Step-by-step explanation:

[tex]36 {x}^{2} - 16 \\ {6}^{2} {x}^{2} - {4}^{2} \\ (6x - 4)(6x + 4)[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Answer:

a : b : c = 12 : 10 : 15

Step-by-step explanation:

Given that: b = [tex]\frac{2}{5}[/tex] of c

 i.e             b = [tex]\frac{2c}{5}[/tex] ............... 1

          2c = 5b

So that;

          c = [tex]\frac{5b}{2}[/tex] .................... 2

Also,    

          4a = 3c

           a = [tex]\frac{3c}{4}[/tex] ................ 3

⇒          a = [tex]\frac{3}{4}[/tex] × ([tex]\frac{5b}{2}[/tex])

             a = [tex]\frac{15b}{8}[/tex] ................. 4

           15b = 8a

           b = [tex]\frac{8a}{15}[/tex] ................. 5

Comparing the derived equations:

From equations 2 and 3,

a:c = [tex]\frac{15b}{8}[/tex]: [tex]\frac{5b}{2}[/tex] = 4:5

From equations 1 and 2,

b:c = [tex]\frac{2c}{5}[/tex] : [tex]\frac{5b}{2}[/tex] = 2:3

But a common value of b = 15, gives;

a : c = 12 : 15 and b : c = 10 : 15  

Thus, a : b : c = 12 : 10 : 15

The ratio a:b:c in its simplest form is 15:8:20

Given the following parameters

To get the ratio of a:b:c, we will substitute the value of a and b into the ratio to have:

a:b:c = 3/4c : 2/5c :c

Multiply through by 20 to have:

a:b:c = 3/4c * 20 : 2/5c * 20: 20c

a:b:c = 15c:8c:20c

a:b:c = 15:8:20

Hence the ratio a:b:c in its simplest form is 15:8:20

Learn more on ratio here: https://brainly.com/question/2914376

Answer:

The Answer is A) X=6+3/10

Step-by-step explanation:

x = 6 + 3 √ 10 ,  6 − 3 √ 10

Decimal Form:

x  =  15.48683298 ,  − 3.48683298

Answer:

C) 13

Step-by-step explanation:

f(x) = 5x -2

f(3) = 5(3) -2

f(3) = 15 - 2

f(3l) = 13

Answer: 6 kilograms

Step-by-step explanation:

3 walls * 2 kilograms each = 6 kilograms in total

____________________________

Solution,

Total population:2800000

Total population of males in percent=45%

total population of females in percent=100%-45%=55%

Total number of females= 55% of 2800000

=1540000

Hope it helps..

Good luck on your assignment

____________________________

57+3x+6=90degree

60+3x=90

3x=90-60

3x=30

x=30/3

x=10

Answer:

[tex] \boxed{x \degree = 9 \degree} [/tex]

Step-by-step explanation:

[tex] = > 90\degree + 57\degree + (3x + 6)\degree = 180\degree \\ \\ = > 57\degree + (3x + 6)\degree = 180\degree - 90\degree \\ \\ = > 57\degree + (3x + 6)\degree = 90\degree [/tex]

Two Angles are Complementary when they add up to 90° (a Right Angle).

[tex] = > 57 \degree + (3x + 6) \degree = 90 \degree \\ \\ = > 57 \degree + 3x \degree + 6 \degree = 90 \degree \\ \\ = > 63 \degree + 3x \degree = 90 \degree \\ \\ = > 3x \degree = 90 \degree - 63 \degree \\ \\ = > 3x \degree = 27 \degree \\ \\ = > x\degree = \frac{27}{3}\degree \\ \\ = > x\degree = 9\degree[/tex]

Answer:

4. -2s^9

7. 8b^10

Step-by-step explanation:

First, focus on the number part of the expression. For 4), multiply -2 x -1 x -1 = -2. Then, look at the exponents. When you're multiplying exponents with the same base (in number 4, the base is s), you can add the exponents.

2+3+4 = 9; which makes it s^9. Multiply -2 x s^9, which gives you -2s^9.

Same thing for 7). Multiply all the numbers first. this gives you 8. (Remember two negatives equals a positive). Add all of the exponents of b together, which gives you 10. (when a variable has no exponent, it means that the exponent is 1.) Multiplying 8 and b^10 should give you 8b^10.

It may help to brush up on exponent rules and sign rules.

Answer:

x = -0.5

Step-by-step explanation:

From your last step:

6.8x + 9.3 = -2.6 - 17x

We have two terms with x in them on different sides of the equation, so we want to bring the 'x terms' over to the same side.

Add 17x to both sides of the equation.

6.8x + 17x + 9.3 = -2.6

Collect like terms

23.8x + 9.3 = -2.6

Subtract 9.3 from both sides

23.8x = -2.6 - 9.3

23.8x = -11.9

Divide both sides by 23.8

x = -0.5

Answer:

Step-by-step explanation:

9n-2

thats the first part

Answer:

-15

Step-by-step explanation:

g(-1) = -2(-1)^2 -4 = -2 *1 -4 = -6

f(-2) = (-2)^2 -3 = 4 -3 = 1

3* [g(-1)+ f(-2) ]

3( -6+1)

3 ( -5)

-15

Answer:

Step-by-step explanation:

[1,2]

local maxima means curve is curved downwards.

in [1,2] it is curved downward.

Answer:

The answer is [1,2]

Step-by-step explanation:

Do you understand now.

Feel free to ask for further explanation

Answer: - 2.5

Step-by-step explanation:

The point R is - 2.5,

The numbers on the number line are arranged sequentially and in regular increment of 1 with only the integer numbers being displayed and ticked. The point R sits directly in between - 3 and - 2. Therefore, to accurately obtain the position of the blue dot, we take the average of both positions binding the blue dot. That is - 3 and - 2

Average = ( - 3 + - 2) / 2

Average = - 5 / 2 = - 2.5

Answer: yea it it  - 2.5 i just did that test and got it right <3

Step-by-step explanation: