Timmy is 6 feet tall and casts a 10-foot shadow. Nikki casts a 9-foot shadow. How tall is Nikki?

Answer:

Step-by-step explanation:

length * width * height = 1050 cubic ft

(10x + 5)* (2x -1) * (x +3) = 1050

(10x + 5 )(2x-1) = 10x*(2x - 1) + 5*(2x -1)

                       = 10x*2x - 10x*1 + 5*2x  - 1*5

                       = 20x² - 10x + 10x - 5 = 20x²  - 5

(10x + 5)(2x -1)(x+3) = (20x² -5) *(x + 3)

                               =20x²*(x +3) - 5*(x +3)

                               = 20x³ + 60x² - 5x - 15

20x³ + 60x² - 5x - 15 = 1050

20x³ + 60x² - 5x - 15 - 1050 = 0

20x³ + 60x² - 5x - 1065 = 0

By trial and error method , (x  -3 ) is a factor

Synthetic method:

3     ( 20    60       -5           -1065

      (          60        360        1065

         20   120        355           0

20x² + 120x + 355 = 0

Divide the equation by 5

4x² + 24x + 71 = 0 . Solving this equation gives imaginary number. So, ignore these values.

So, value of x = 3

height = 3+ 3 = 6 ft

Length = 10*3 + 5 = 30 + 5 = 35ft

Width = 2x - 1 = 2*3 - 1 = 6 - 1 = 5 ft

Check: length * width * height = 35 * 5 * 6 = 1050 cubic ft

The height of the trapezoid is 8.3 feet.

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides,4 vertices and edges.

Area of a trapezoid = 0.5   x (sum of the lengths of the parallel sides) x height

70.55 = 0.5 x (11.4 + 5.6) x h

70.55 = 0.5 x (17) x h

70.55 = 8.5h

h = 70.55 / 8.5

h = 8.3 feet

To learn more, please check: https://brainly.com/question/11918864

42 square inches.

Step-by-step explanation:

A = 1/2 b × h

A = 1/2 x 12 x 7

A = 6 × 7

A = 42

Answer:

y=-3x-10

Step-by-step explanation:

The y-intercept is -10 and the line is going in a negative direction. Meaning the slope will be negative.

Looking at the options, you can tell that the answer will in fact, be y=-3x-10

Or to solve, -2,-4 and -5,5

5--4 to get 9

-5--2 to get -3

9/-3 gets you -3. The slope of the line is -3. And you can notice that the intercept is -10.

This gets you y=-3x-10

Answer:

F=(9C+160)/5

Step-by-step explanation:

C=5(F-32)/9

Simplify to 5F-160/9=c

multiply by 9 on both sides : 5F-160=9C

add 160 to both sides: 5F=9C+160

Divide by 5 on both sides: F=(9C+160)/5

Simplify: F=9/5c+32

Answer:

[tex]F=\frac{9C}{5}+32[/tex]

Step-by-step explanation:

The subject of the formula is the variable that's being worked out. Originally this was C. They want us to make F the subject of the formula.

[tex]c=\frac{5(F-32)}{9}[/tex]

To do this we first need to distribute 5.

[tex]C=\frac{5F-160}{9}[/tex]

Divide 5F-160 by 9.

[tex]C=\frac{5}{9}f-\frac{160}{9}[/tex]

We can then swap sides to make it easier.

[tex]\frac{5}{9}f-\frac{160}{9}=C[/tex]

We then add [tex]\frac{160}{9}[/tex] to each side.

[tex]\frac{5}{9}f=c+\frac{160}{9}[/tex]

We can then find F by multiplying by 9/5 or dividing by 5/9.

[tex]F=\frac{9}{5}(C+160/9)[/tex]

We then can simplify by multiplying.

[tex]F=\frac{9C}{5}+32[/tex]

:D

Answer:

Point Slope equations:  

[tex]y-4 =-10(x-1)\\y+3 =2(x-5)\\y+7 =\frac{1}{2}(x+7)[/tex]

Slopes:  

Points on the line:

Step-by-step explanation:

Basically we use this formula to solve each column [tex]y-y_{1} =m(x-x_{1})[/tex]

m = slope

[tex]y-4 =-10(x-1)\\y+3 =2(x-5)\\y+7 =\frac{1}{2}(x+7)[/tex]

Answer:

Step-by-step explanation:

Add up the equations, it will eliminate x as variable:

Find the value of x:

Given : -

To find : -

Solution : -

3x + 6y = 18

-3x + 4y = 2 +

10y = 20

[tex] \: [/tex]

3x + 6y = 18

3x + 6(2) = 18

3x + 12 = 18

3x = 18 - 12

3x = 6

[tex] \: [/tex]

Answer:

Polly has to pay $0.24 per yard of fabric.

Step-by-step explanation:

You simply have to divide the 6.8 yards by the $28.90 cost. The result is $0.235294118 dollars per yard, but since you can't have only half a cent, we will round it to the nearest hundredths and get $0.24 dollars.

Answer:

I don't know but

1+2=3

3+3=6

6+4=10

10+5=15

if this helps you make any sense of it.. tell me

Step-by-step explanation:

Answer:

These are triangular numbers.

Step-by-step explanation:

The explicit formula for the nth term of the sequence id 1/2n(n+1).

So for, example, the 6th term =  1/2*6(6+1)

= 21.

They all fit exactly into equilateral triangles.

"sam places 3850 in a bank account that pays 1.3% simple interest per year and how much interest will she earn in 6 years | Wyzant Ask An Expert" https://www.wyzant.com/resources/answers/646803/sam-places-3850-in-a-bank-account-that-pays-1-3-simple-interest-per-year-an3850

Answer:

Use both methods to calculate the sale price of an item that costs $140 and has a discount of. 40%. 140 x.40 = 56. 140-56 +84. 140x.60 = $84.

Step-by-step explanation:

C

Answer:

-1+13=4v

12=4v

v=3

....

.............

Answer:

$3,466.12 Hope this helped.

Answer:

67

Step-by-step explanation:

We plug the 7 for x and -4 for y.

The equation is 9x-y.

So it becomes; 9(7)-(-4)

This will simplify to; 63+4

Which is 67, your answer.

67 is the answer bro good luck

Answer: a = 5

Step-by-step explanation:

a/6-1/2=1/3

a/6 = 1/3 + 1/2

a/6 = 2/6 + 3/6

a/6 = 5/6

a = 5

Check:

5/6-1/2 = 1/3 ?

5/6 - 3/6 = 1/3?

2/6 = 1/3  ?

1/3 = 1/3   YES

Answer:

a = 5

Step-by-step explanation:

a/6 - 1/2 = 1/3

=> a/6 = 5/6

=> a = 5

Hoped this helped.

34, x, y are factors of this expression.

- BRAINLIEST answerer

Answer:

1/3

Step-by-step explanation:

4/12 divide by 4 to the top and bottom you get 1/3

[tex]\dfrac 4{12} = \dfrac{ 4 \times \tfrac 14 }{12 \times \tfrac 14} = \dfrac 13\\\\\\\\\text{Hence the answer is 1}[/tex]

Step-by-step explanation:

when you get a decimal like 0.02 and you want to express it in fraction,this is a simple trick.

first,put your pen at the point and move it forward till you end at the last number.

While you move the pen over each value, you will count the number of jumps and record the number of jumps in zeros i. e

2÷100 and it means that,the last 1or 3or 3whole numbers will become the numerator

Answer:

Hi There I Used A Calculator

Step-by-step explanation:

the awnser is 4+2ℎ+4

Answer:

DC = 30.47 units

KL = 5.34 units

Step-by-step explanation:

Cos 54 * 20 = AD

Sin 54 = BD/20

Sin 54*20 = BD

BD = 0.809*20 = 16.2

Tang 28 = BD/DC

DC = BD/tang 28

DC = 16.2/0.5317

Tan 51 = JL/14

JL = 1.2349 * 14 = 17.29 units

Cos 72 = KL/JL

Cos 72 * 17.29 = KL

cos 72 = 0.309

KL = 0.309 * 17.29 = 5.34 units

Answer:

Smaller Angle : 36 degrees

Bigger Angle : 144 degrees

Step-by-step explanation:

So we can name the smaller angle x and the larger one 4x. We can add them and make the answer 180. x+4x=180, 5x=180, x=36

Smaller angle : x=36

Bigger Angle : 4x=36*4=144

Answer:

Angle X = 36

Angle Y = 144

Please give me Branliest

Step-by-step explanation:

Ok, so

X + Y = 180

and

4X = Y

So we substitute

X+4X = 180

5X = 180

X = 36

Now

36 + Y = 180

-36          -36

Y = 144

Answer:

The Answer is A. :)

Step-by-step explanation:

Answer:

Using a system of equations, it is found that he has 2 dimes, 5 nickels and 12 pennies.

In the system of equations, I am going to say that:

x is the number of dimes.

y is the number of nickels.

z is the number of pennies.

---------------------

Two more nickels than dimes, thus:

Three times as many pennies as nickels, thus:

---------------------

A dime is worth $0.1, a nickel is worth $0.05, and a penny is worth $0.01. Total of $0.52, thus:

Solving for x:

---------------------

Solving for y and z:

He has 2 dimes, 5 nickels and 12 pennies.

Answer: $10

Step-by-step explanation: if helped pls leave a thanks <3

Answer:

$10 left

Step-by-step explanation:

1/3*30=10