please show the work. ​

Answer:o

Step-by-step explanation:

Complete Question:

In ABC, the measure of sides c is 3.9 cm If DEF is a dilation ABC with a scale factor of 2.5 what is the measure of side f

Answer:

f = 9.75

Step-by-step Explanation:

From the information given, a sketch of ∆ABC and ∆DEF with their corresponding sides and angles have been attached below.

∆DEF is a dilation of ∆ABC, which is said to be on a scale factor of 2.5.

The scale factor is a whole number, this implies that ∆DEF is an enlargement of ∆ABC.

Since side c = 3.9 cm, in ∆ABC corresponds to side f, in ∆DEF, therefore, the measure of f would be:

f = measure of c × scale factor

f = 3.9 cm × 2.5

f = 9.75

Answer:

49

Step-by-step explanation:

area if a square: side length x side length (s^2)

7 x 7 = 49

Area of Square is 49 square feet

Given that;

Side length of square = 7 feet

Find:

Area of Square

Computation:

Area of Square = Side²

Area of Square = 7²

Area of Square = 49 square feet

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Answer:

BC=11

Step-by-step explanation:

we need to find BC

and we  know that

AB= x+2

AC=13

BC=2x+11

A, B and C are collinear

that means that

AB+BC=AC

x+2+2x+11=13

3x+13=13

3x=0

x=0

so BC=2(0)+11

BC=11

Answer:

[tex]y=\frac{4}{3}x+\frac{38}{3}[/tex]

Step-by-step explanation:

So we want to find an equation of a line passing through (-8,2) with a slope of 4/3.

To do so, we can use the point-slope form. This is:

[tex]y-y_1=m(x-x_1)[/tex]

So, substitute (-8,2) for x₁ and y₁, and let m be 4/3:

[tex]y-2=\frac{4}{3}(x+8)[/tex]

Distribute the right:

[tex]y-2=\frac{4}{3}x+\frac{32}{3}[/tex]

Add 2 to both sides. Note that 2 can be written as 6/3. Thus:

[tex]y=\frac{4}{3}x+\frac{32}{3}+\frac{6}{3}[/tex]

Simplify:

[tex]y=\frac{4}{3}x+\frac{38}{3}[/tex]

And this is our equation :)

Answer:

150 feet

Step-by-step explanation:

A rectangle has 2 pairs of equal sides.

One of the sides is 100 feet, meaning another side is 100 feet.

If we subtract 200 feet we are left with 300, which are the last two sides.

Divide 300 by 2 to get each side length.

150 feet

Answer:

  5/6 cups/lemon

Step-by-step explanation:

(15 cups)/(18 lemons) = (15/18) cups/lemon = 5/6 cups/lemon

Answer:

Sum of the sequence (Sn) = 33,859

Step-by-step explanation:

Given:

Sequence = 685+678+671+664+...+6

Find:

Sum of the sequence (Sn)

Computation:

a = 685

d = 678 - 985 = -7

an = 6

an = a+(n-1)d

6 = 685+(n-1)(-7)

-679 = (n-1)(-7)

97 = n-1

n = 98

So,

Sum of the sequence (Sn) = (n/2)[a+an]

Sum of the sequence (Sn) = (98/2)[685+6]

Sum of the sequence (Sn) = (49)(691)

Sum of the sequence (Sn) = 33,859

Answer:

c

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

7.00

Step-by-step explanation:

so you have to round to the narest 0.01 the easy way to do it is round to the hundreth place. And you will get your answer which is 7.00

Answer:

Step-by-step explanation:

[tex]\left(\dfrac{143}{4}-\dfrac38\right)+\left(\dfrac{207}{8}-\dfrac38\right)=\dfrac{286}{8}-\dfrac38+\dfrac{204}{8}=\dfrac{283}{8}+\dfrac{204}{8}=\dfrac{487}{8}[/tex]

Answer:

1. 1.23

2. 15400

3. 0.0025

4. 0.567

5. 100000000

6. 0.00000001

Step-by-step explanation:

you just move the decimal point left for negative and right for positive

Answer:  A) f(x) = x² + 2x + 1

Step-by-step explanation:

The standard form of a quadratic equation is: y = Ax² + Bx + C

Input (x, y) coordinates into the standard equation to solve for A, B, & C.

(0, 1) →  1 = A(0)² + B(0) + C

            1 = C

(-2, 1) → 1 = A(-2)² + B(-2) + C

            1 = 4A - 2B + 1

            0 = 4A - 2B

(1, 4) → 4 = A(1)² + B(1) + C

           4 = A + C + 1

           3 = A + B

Solve the system of equations:

0 = 4A - 2B   →   1(0 = 4A - 2B)   →     0 = 4A - 2B

3 = A + B       →  2(3 = A + B)      →      6 = 2A + 2B

                                                           6 = 6A

                                                           1 = A

Input A = 1 into either equation to solve for B:

3 = A + B

3 = 1 + B

2 = B

Now, Input A = 1, B = 2, and C = 1 into the standard equation:

y = (1)x² + (2)x + (1)

y = x² + 2x + 1

Answer:

EZ

Step-by-step explanation:

EZ

Answer:

A.  r = ∛ 15V / 2π

Step-by-step explanation:

Volume of a sphere = 4/3 π r³    

And to be divided into 10 equal wedges parts.

Volume of each wedge = V = 2/15 π r³

find r

V = 2 π r³ / 15

15 V = 2 π r³

15V / 2π = r³

r = ∛ 15V / 2π

The correct option will be option A i.e., r = [tex]\sqrt[3]{\frac{15}{2\pi } }[/tex]

It is given that a solid sphere is cut into 10 equal wedges , with each wedge having volume V = [tex]\frac{2}{15} \pi r^{3}[/tex]

We have to solve it to get the value of radius r.

What is the formula for volume of sphere ?

The volume of sphere is given by V = [tex]\frac{4}{3} \pi r^{3}[/tex] where , r is the radius of the sphere.

As per the question ;

Volume of sphere =  [tex]\frac{4}{3} \pi r^{3}[/tex]

To be divided into 10 equal wedges ;

Volume of each wedge of sphere will be ;

V = [tex]\frac{2}{15} \pi r^{3}[/tex]

15 V = 2[tex]\pi r^{3}[/tex]

or

r³ = [tex]\frac{15V}{2\pi }[/tex]

or

r = [tex]\sqrt[3]{\frac{15}{2\pi } }[/tex]

Thus , the correct option will be option A i.e., r = [tex]\sqrt[3]{\frac{15}{2\pi } }[/tex]

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Answer:

2,640 miles in 12 hours.

Step-by-step explanation:

440/2=220mph

220*12 hours=2,640

rate of speed=220pmh

Answer:

0.193877

Step-by-step explanation:

The data given to us is

Pre-Employment Drug Screening Results

                    Positive test result                 Negative test result

                    Drug Use Is Indicated            Drug Use Is Not Indicated

Subject Uses Drugs:            38                                         12

Subject Is Not a drug user: 19                                         29

Now the total of this is = 38+19+12+29= 98

Now the probability of false positive is = 19/98= 0.193877

The Subject Is Not a drug user  would suffer from a false positive. He is not a user and has a positive result.

Answer:

2/6 or 1/3

Step-by-step explanation:

Answer:

A and B.

Step-by-step explanation:

So we want to select the fractions that equal -1/7.

Let's go through each of the answer choices.

A)

A is -1/7, the exact same.

A is correct.

B)

B is 1/-7.

We can move the negative to the top.

So, 1/-7 is equivalent to -1/7.

B is also correct.

C)

C is 1/7

There are no negatives whatsoever.

C is not correct.

D)

We have -1/-7.

Again, move the negative to the top. We will have:

-(-1)/7

The two negatives cancel:

=1/7.

So, D is not correct.

Our answers are A and B.

Answer:

guess

Step-by-step explanation:

i ain't going to cap but idk

Answer:

  8

Step-by-step explanation:

The midpoint of AC is ...

  B = (A +C)/2 = (-10 +14)/2 = 2

The midpoint of BC is ...

  D = (B +C)/2 = (2 +14)/2 = 8

The midpoint of BC is 8.

Answer:

22 square feet

Step-by-step explanation:

Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.

Area of circle = 3.14 × r × r

r = 10 ÷ 2

= 5

Area of circle = 3.14 × 5 × 5

= 78.5

Area of square = length × length

Area of square = 10 × 10

= 100

Area of shaded region = Square - Circle

= 100 - 78.5

= 21.5

= 22 (to the nearest square foot)

I hope this helps :)

Step 1) Set up a proportion

180 girls / x boys = 4 girls / 3 boys

540 = 4x

x = 135 boys

Step 2) Add the number of boys and girls together

180 + 135 = 315

Answer: 315 total students

Answer:

3xy+6x+3y+6

Step-by-step explanation:

You just need to combine like terms.

5x and x are like terms so you can add them to 6x.

2 and 4 are like terms so you can add them to 6

Answer:

Step-by-step explanation:

[tex]6x-10=-8+3x\\\\\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\6x-10+10=-8+3x+10\\\\\mathrm{Simplify}\\6x=3x+2\\\\\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}\\6x-3x=3x+2-3x\\\\Simplify\\3x=2\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{2}{3}\\\\Simplify\\x=\frac{2}{3}[/tex]

Answer:

x = 2/3

Step-by-step explanation:

This equation can be solved by using conventional algebraic techniques.

We firstly want to make sure to get our constants on one side of the equation and then get our variables on the other.

6x - 10 = -8 + 3x Subtract 3x from both sides of the equation.

3x - 10 = -8 Add 10 to both sides of the equation.

3x = 2 Divide by 3 on both sides of the equation.

x = 2/3

Then, you can voluntarily check your answer.

6(2/3) - 10 = -8 + 3(2/3)

4 - 10 = -8 + 2

-6 = -6

Answer:

[tex](\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )[/tex]

Step-by-step explanation:

The unit vector for a nonzero vector, say u, in the direction of u is given by:

û = [tex]\frac{u}{|u|}[/tex]             ---------------(i)

Where;

|u| = magnitude of vector u

From the question;

u = (4, -4)

First let's calculate the magnitude of u as follows;

|u| = [tex]\sqrt{(4)^2 + (-4)^2}[/tex]

|u| = [tex]\sqrt{16 + 16}[/tex]

|u| = [tex]\sqrt{32}[/tex] = [tex]4\sqrt{2}[/tex]

Now, substitute u and |u| into equation (i) as follows;

û = [tex]\frac{(4, -4)}{4\sqrt{2} }[/tex]

û = [tex](\frac{4}{4\sqrt{2} }, \frac{-4}{4\sqrt{2} } )[/tex]

û = [tex](\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )[/tex]

Therefore, the unit vector is [tex](\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )[/tex]

Answer:

Step-by-step explanation:

1  2/3  + 3 3/4 = 1  8/12 + 3  9/12 = 4 17/12 = 5 5/12

4 1/2 + 2 5/7 = 4 7/14 + 2 10/14 = 6 17/14 = 7 3/14

3/4 + 2/3 + 1/5 = 45/60 + 40/60 + 12/60 = 97/60 = 1 37/60

Answer:

Step-by-step explanation:

boom  = 1 37/60

Answer:

x = 0

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

2*x+8/6-(1/3*(x+4))=0

Simplify 1/3

Equation at the end of step  1 :

(2x +  8/6) -  (1/3 * (x + 4))  = 0  

STEP  2 :

Equation at the end of step 2

 (2x + 8/6) -  (x+4)/3  = 0  

STEP  3 :  

Simplify 4/3

Equation at the end of step  3 :

(2x + 4/3) -  (x+4)/3  = 0  

STEP  4 :

Rewriting the whole as an Equivalent Fraction

Adding a fraction to a whole

Rewrite the whole as a fraction using  3  as the denominator :

2x =  2x/1  =  2x*3/3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2x * 3 + 4/3  =  6x+4/3

Equation at the end of step  4 :

(6x+4)/3 -  (x+4)/3  = 0  

STEP  5 :  Pulling out like terms

Pull out like factors :

6x + 4  =   2*(3x + 2)  

Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2*(3x+2)-((x+4))/3  =  5x/3

Equation at the end of step  5 :

5x/3 = 0  

STEP  6:  When a fraction equals zero

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now, to get rid of the denominator, multiply both sides of the equation by the denominator.

Here's how:

5x/3*3 = 0*3

Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

5x  = 0

Solving a Single Variable Equation:

Solve  :    5x = 0  

Divide both sides of the equation by 5:

x = 0