18
8
13
7
Find the area of the white granite area in the picture above.

Answer:

There are two solutions

1.x =(8-√152)/4=2-1/2√ 38 = -1.082

2.x =(8+√152)/4=2+1/2√ 38 = 5.082

Step-by-step explanation:

Answer:

Step-by-step explanation:

Point F is plotted at (5, 4)

Translate ΔABC so that point B maps to point G.

B(1, -1) → G(0, 3)  

Rule for the translation,

(x, y) → [x - 1, y + 4]

By this rule,

Point C will map the point,

C(-1, -2) → C'[(-1 - 1), (-2 + 4)]

             → C'(-2, 2)

A(-4, 0) → A'[(-4 - 1), (0 + 4)]

           → A'(-5, 4)

Now reflect these points across y-axis.

Rule for the reflection across y-axis,    

(x, y) → (-x, y)

Points after reflection will be,

A'(-5, 4) → F(5, 4)

B'(0, 3) → G(0, 3)

C'(-2, 2) → H(2, 2)

Distance formula,

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

AB = [tex]\sqrt{(1+4)^2+(-1-0)^2}[/tex] = [tex]\sqrt{26}[/tex]

BC = [tex]\sqrt{(-2+1)^2+(-1-1)^2}[/tex] = [tex]\sqrt{5}[/tex]

CA = [tex]\sqrt{(-4+1)^2+(-2-0)^2}[/tex] = [tex]\sqrt{13}[/tex]

FG = [tex]\sqrt{(5-0)^2+(4-3)^2} =\sqrt{26}[/tex]

GH = [tex]\sqrt{(2-0)^2+(2-3)^2}=\sqrt{5}[/tex]

HF = [tex]\sqrt{(4-2)^2+(5-2)^2}=\sqrt{13}[/tex]

AB ≅ FG, BC ≅ GH, CA ≅ HF          

By the SSS property Triangle congruence theorem, ΔABC ≅ ΔFGH

Answer:

50°

Step-by-step explanation:

1) Opposite angles are the same. Therefore,

2x-20=x+15

2x-x=15+20

x=35

2) Put x back in the equation for angle mhj

2(35)-20=50

Answer:

(5, 0) is the x intercept.

Step-by-step explanation:

Given equation of the line is 2x - 5y = 10

For y-intercept of the line we find the value of y by substituting x = 0 in the given equation.

Similarly, for x-intercept we will substitute the value y = 0 and find the value of x.

2x - 5(0) = 10

2x = 10

x = 5

Therefore, y-intercept of the given line is (5, 0).

Answer:

plug in m

14/2 + 14

7 + 14

21

Step-by-step explanation:

Answer:

10+10

10x2

40/2

Step-by-step explanation:

Answer:

D.) 14.2*0.784

Step-by-step explanation:when you calculate it, there is 4 numbers behind the decimal point.

Answer:

3 x + 4 = 5 x

Step-by-step explanation:

just read it the words slowly and write it down as you hear it

Answer:

WHAT THE FAWK SRE YOU SAYING AND WRITING

Answer:

truste me dont!

Step-by-step explanation:

there are 11356.2 milliliters in 3 us gallons

25×1/23=1.08695652174.

25+1.08695652174=26.08695652174

Answer:

D. 8.99

Step-by-step explanation:

You're welcome :)

Answer:

3 teaspoon

Step-by-step explanation:

If for every 3/4 cup of flour we will need 1/8 teaspoon of salt, then:

1/8 teaspoon = 3/4 cup of flour

To get the amount of teaspoon needed for 18cups we will say:

x teaspoon = 18 cups

Solving both equalities for x:

1/8 teaspoon = 3/4 cup of flour

x teaspoon = 18 cups

Cross multiply

3/4 * x = 18 * 1/8

3x/4 = 18/8

cross multiply again

3x*8 = 4*18

24x = 72

x = 72/24

x = 3

Hence Fran needs 3 teaspoon of salt fir 18cups of flour

Answer:

$5.33

Step-by-step explanation:

If there are 3 1/3 lbs of wood and it's $1.60 per lb, then:

Turn the mixed number into an improper fraction first:

3 1/3 = 3/3 + 3/3 + 3/3 + 1/3

        = 10/3

Then, turn 1.60 into an improper fraction too:

1.6 = 1 6/10

     = 1 3/5

     = 5/5 + 3/5

     = 8/5

Then—letting x represent the number of lbs:

8/5x = 8/5 × 10/3

        = (8 × 10)/(5 × 3)

        = 80/15

        = 16/3

To put this in dollar/decimal form, simplify:

16 ÷ 3 = 5.3333333 . . .

          ≈ $5.33

Answer:

slope intercept: y=5x-7

Step-by-step explanation:

first you need slope: y2-y1/x2-x1

-12-3/-1-2=

-15/-3=

5

then plug into this formula: y-y1=m(x-x1)

y-3=5(x-2)

y-3=5x-10

y=5x-7

Answer: 5 [tex]\frac{4}{25}[/tex]

Step-by-step explanation:

First, you need to know the orders of opperation. You must solve in this order.

ORDERS OF OPPERATION:

1. Grouping Symbols: ( [ ] )

2. Exponents: [tex]3^{2}[/tex]

3. Multiplication/Division

4. Addition/Subtraction

Now that we know the orders of opperation, let's get started!

1. 3/4 ÷ 1/8 = 6

2. 5/6 - 6 = 5 16/100

3. Simplify.

4. 5 16/100 = 5 4/25

= 5 [tex]\frac{4}{25}[/tex]

Please forgive me if I am wrong. I sure hope this answer helped. :)

The solution of the given expression will be 2/3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 5/6 subtract (1/8 divided by 3/4). The expression can be solved mathematically as below,

E = 5/6 - [ 1/8 ÷ 3/4 ]

E = 5/6 - [ 4 / ( 8 x 3 ) ]

E = 5/6 - 1/6

E = 4/6

E = 2/3

To know more about an expression follow

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Answer:

$8,500 in CDs; $11,500 in bonds

Step-by-step explanation:

Let c = amount invested in CDs.

Let b = amount invested in bonds.

"A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs)."

From the total investment, we get this equation.

c + b = 20000

"If the amount invested in bonds is to exceed that in CDs by $3000"

From the details of the amounts, we get this equation.

b = c + 3000

We have a system of equations in two unknowns.

c + b = 20000  Eq. 1

b = c + 3000  Eq. 2

Since Eq. 2 is already solved for b, we will use the substitution method to solve the system of equations.

Substitute b in Eq. 1 with c + 3000.

c + c + 3000 = 20000

2c + 3000 = 20000

2c = 17000

c = 8500

Now substitute c = 8500 in Eq. 2 and solve for b.

b = c + 3000

b = 8500 + 3000

b = 11500

Answer: $8,500 in CDs; $11,500 in bonds

Answer:

Range = 13

Mean = 8.3

Variance = 17.61

Step-by-step explanation:

Given the population dataset :

2, 9, 15, 4, 12, 9, 13, 6, 3, 10

1.) Range : (maximum - minimum)

Maximum = 15 ; minimum = 2

Range = (15 - 2) = 13

2.) population mean (μ) :

μ = ΣX / n

n = sample size

μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10

μ = 83 / 10

μ = 8.3

3.) Population variance (s²)

Σ(x - μ)² / n

=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10

s² = 176.1 / 10

s² = 17.61

Answer:

1.The coefficient is 6.3 and the terms are 5 and 6.3s

2.The coefficient is (0.87)^t and the terms are 35,000 and (0.87)^t

Step-by-step explanation:

A  coefficient is a number pared with a variable and the terms are all of the numbers that make up the expression

Answer:

The answer is "0.3605".

Step-by-step explanation:

Through 8 welds, every welder have 125 measurements, that overall amount of measurements.  

N= 125(8) = 1000  

The 96 percent level of trust

[tex]Z_{\frac{\alpha}{2}} =2.05\\\\\hat{\sigma}_{p} = \sqrt{\frac{0.33 (0.67)}{1000}}\\\\[/tex]

    [tex]=\sqrt{ \frac{0.2211}{1000}}\\\\=\sqrt{0.0002211}\\\\=0.01487[/tex]

[tex]\hat{P_2} - Z_{\frac{\alpha}{2}} \hat{\sigma}_{p} = 0.33 -2.05 (0.01487)\\\\[/tex]

                  [tex]= 0.33-0.0305\\\\=0.2995[/tex]

[tex]\hat{P_2} + Z_{\frac{\alpha}{2}} \hat{\sigma}_{p} = 0.33 +2.05 (0.01487)[/tex]

                  [tex]= 0.33+0.0305\\\\=0.3605[/tex]

Answer:

25%

Step-by-step explanation:

The answer would be 25% because to get your answer you have to

first subtract the original amount by the newest amount which in this case is

96-72=?

After you have subtracted this you will get you answer of 24

96-72=24

Ans than what you do is take the number of how many people left and put it on top of the original amount like this

24/96 so in other words dividing

Than you will get your answer of 25%

Answer:

you paid 19.75 dollars

Step-by-step explanation:

Answer:B

Step-by-step explanation:

The coordinates of the image of the rotation of the point Q is:

Q' = (4, 2)

We can see that the original coordinates of point Q are (-4, 0).

If we apply a rotation of 180° about the point (0, 0), it is equivalent to a reflection around the y-axis.

It only changes the sign of the x-component.

Then the image of the rotation is:

Q' = (4, 0)

If you want to learn more about rotations:

https://brainly.com/question/4289712

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Answer:

(13, -10, -7)

Step-by-step explanation:

Given

x+y+z=−4 .................. 1

2x+3y−2z=10 .................... 2

−x+2y−3z=−12 ................... 3

Reduce the equation to two equations, two unknowns:

Add eqn 1 and 3

y+2y+(z-3z) = -4-12

3y - 2z = -16 .......... 4

Also multiply eqn 3 by 2:

−2x+4y−6z=−24 ................... 5

Add 2 to 5:

3y+4y+ (-2z-6z) = 10-24

7y-8z = -14 ............... 6

Equate 4 and 6

3y - 2z = -16 .......... 4 * 4

7y-8z = -14 ............... 6 * 1

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

12y - 8z = -64

7y-8z = -14

Subtract the resulting equations

12y-7y = -64+14

5y = -50

y = -50/5

y = -10

Substitute y = -10 into equation 4 to get z:

3y - 2z = -16

3(-10)-2z = -16

-30-2z = -16

-2z = -16+30

-2z = 14

z = 14/-2

z = -7

Substitute y = -10, z = -7 into eqn 1 to get x:

x+y+z = -4

x-10-7 = -4

x-17 = -4

x = -4+17

x = 13

Hence (x, y, z) is (13, -10, -7)

Answer:

(-15$) • 12

Step-by-step explanation:

Because your taking away 15$ from each month, and there's 12 month each year.

I explained each answer choice in the comments bellow.

Answer:

The Naswer is the Last one, D

Step-by-step explanation:

Answer:

Ok so the area of the frame is 18*12 = 216cm^2

Let’s suppose the width of the frame is x

The total area (painting and frame) is (2x+18)(2x+12) and this is equal to 432

4x^2 + 60x + 216 = 432

4x^2 + 60x - 216 = 0

x^2 + 15x - 54 = 0

(x+18)(x-3) = 0

Therefore x = {-18,3}

Since width of the frame has to be positive, the width has to be 3cm Step-

i hope i helped!