Name the image of C(6, –4) under a rotation 90 counter-clockwise about the origin.

a. C(–4, –6)
b. C(6, 4)
c. C(–6, –4)
d. C(4, 6)

Answer:

54.98 cm squared

To find the area of the shaded region, we first need to know the area of the entire figure and the area of the circle.

To find the area of the circle, we use the formula pi times r^2

r is the radius, which can be found by multiplying the diameter by 1/2

1/2 x 16 = 8

Now we have pi times 8^2

8^2 = 64

Now we have pi times 64

Let's say that pi = 3.141 in this situation. We could be more exact and say 3.14159265... but that is probably not what your teacher wants.

64 x 3.141 = 201.024

So, we have the area of the circle.

Now we need the area of the entire figure.

Well, that's just length times width.

16 x 16 = 256

So, to find the area of the shaded region, we just have to find the difference between 256 and 201.024

256 - 201.024 = 54.976

We can round that to 54.98, or if you want, to 55.

The quarterly payment on a 4-year loan of $16,231 at 5. 1% compounded quarterly is $1508.31.

Principle P= $16,231

Rate of interest r= 5.1% compounded quarterly

Tenure n= 4 year =16 quarters

The formula for quarterly payment is given as:

Quarterly payment = [tex]\frac{P*r/100(1+r/100)^n}{(1+r/100)^n-1}[/tex]

Where P=principle

r =quarterly rate of interest

n=tenure

Quarterly payment =[tex]\frac{16231*(5.1/100)(1+5.1/100)^16}{(1+5.1/100)^16-1}[/tex]

Quarterly payment =$1508.31

Therefore, the quarterly payment on a 4-year loan of $16,231 at 5. 1% compounded quarterly is $1508.31.

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Answer:

Step 1: Identify the coordinates of each of the vertices of the triangle.

Step 2: Translate each point by adding the horizontal translation value to the x-coordinate of each vertex and the vertical translation value to the y-coordinate of each point. For these translations, add a negative number if the horizontal translation is to the left or if the vertical translation is downward.

Step 3: Plot the three translated points and draw the triangle by connecting each pair of points with a straight line.

Step-by-step explanation:

Triangle: A triangle is a three-sided geometric figure made by connecting each pair of points in a set of three with straight lines. The points that define a triangle are known as vertices

Answer:80.8%

Step-by-step explanation:

£1200=100%

£970=

£970*100%/£1200=80.8333333

80.8%

Answer:

19.2%.

Step-by-step explanation:

Reduction = 1200-970 = £230,

% reduction = 230*100/ 1200

= 19,2%

When given three side lengths:

      --> the three sides lengths that can form a triangle are the ones where

      the sum of two side lengths of a triangle is always greater than the

      third side

Thus the choice that fits the requirement is choice (C).

Hope that helps!

Answer:

D

Step-by-step explanation:

this is not standard form

Answer:

D

Step-by-step explanation:

The first number should be equal to or greater than one but less than 10

Answer:

2130 per month

Step-by-step explanation:

25,560 / 12

2130

Answer:

Lin needs to do 16 more chores if she wants to be able to pay the park fee

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

To attempt this algebraic equation we will be multiplying 4 to (3 - x) bracket so as to form the term on L.H.S.

[tex]:\implies\tt{4(3 - x) = (1 - 2x)}[/tex]

[tex]:\implies\tt{(12 - 4x) = (1 - 2x)}[/tex]

[tex]:\implies\tt{12 - 4x = 1 - 2x}[/tex]

Combining like terms, we get,

[tex]:\implies\tt{12 - 1 = - 2x + 4x}[/tex]

[tex]:\implies\tt{11 = 2x}[/tex]

[tex]:\implies\tt{2x = 11}[/tex]

[tex]:\implies\tt{x = \frac{11}{2} }[/tex]

[tex]:\implies\tt{x = 5.5}[/tex]

Hey there!

4(3 - x) = (1 - 2x)

4(3) + 4(-x) = 1 - 2x

12 - 4x = 1 - 2x

-4x + 12 = -2x + 1

ADD 2x to BOTH SIDES

-4x + 12 + 2x = -2x + 1 + 2x

SIMPLIFY IT!

-2x + 12 = 1

SUBTRACT 12 to BOTH SIDES

-2x + 12 - 12 = 1 - 12

SIMPLIFY IT!
-2x = -11

DIVIDE -2 to BOTH SIDES

-2x/-2 = -11/-2

SIMPLIFY IT!
x = 11/2

Therefore, your answer should be:

x = 11/2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The perimeter is 2 times greater.

Step-by-step explanation:

Answer:

z = 60 and x = 4.25 or 17/4

Step-by-step explanation:

Z = 60°

8x + 86 = 180-60

8x + 86 = 120

8x = 120 - 86

8x = 34

x = 4.25 or 17/4

Answer: 150 cubic feet

Step-by-step explanation:

Formula: area of base x height (length x width x height)

Volume of small rectangle: 5 x 2 x 3 = 30

Volume of large rectangle: 10 x 6 x 2 = 120

Add them together: 120 + 30 = 150

Answer:

2/9

Step-by-step explanation:

Explanation:

You can use the definition of similarity to show that corresponding sides are proportional. You cannot prove anything about the proportionality of non-corresponding sides.

1. BD║CE . . . . given

2. ∠A≅∠A . . . . reflexive property of congruence

3. ∠ABD≅∠ACE . . . . corresponding angles theorem

4. ΔABD ~ ΔACE . . . . AA similarity postulate

5. BD/CE = AD/AE . . . . definition of similarity

_____

Additional comment

Length DE is related to BC in the same way that AD is related to AB. There is no way to prove the ratio you show in your problem statement. You can show that ...

  DE/AE = (CE -BD)/CE = 1 -(BD/CE) . . . . the difference is proportional to the corresponding longer side

Answer:

if one gallon is 4.99, 20 gallons?

write a ratio to make it easier

gallon : price

1 4.99

20 x

cross multiply,

x = 20 × 4.99

x=99.8

Answer:

[tex]x\leq 4[/tex]

Step-by-step explanation:

Given:

[tex]-\frac{1}{2}x+8\ge 6[/tex]

Solve:

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]-\frac{1}{2}x+8-8\ge \:6-8[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-\frac{1}{2}x\ge \:-2[/tex]

[tex]Multiply\:both\:sides\:by\:-1[/tex]

[tex]\left(-\frac{1}{2}x\right)\left(-1\right)\le \left(-2\right)\left(-1\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{1}{2}x\le \:2[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}2[/tex]

[tex]2\cdot \frac{1}{2}x\le \:2\cdot \:2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x\leq 4[/tex]

[tex]\mathrm{Therefore,}[/tex]

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:4\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:4]\end{bmatrix}[/tex]

~lenvy~

Answer:

d because a straight line has the angle of 180

1 foot = 12 inches

56 inches / 12 inches = 4.66 feet = 4 feet and 8 inches

Answer:

4 feet and 8 inches

Step-by-step explanation:

To convert a high number of inches to feet you divide it by 12 since 12 inches makes 1 foot.

So 56÷12 = 4 reminder 8

The remainder we keep it as inches

So our answer is 4 feet and 8 inches.

Answer:

Step-by-step explanation:

2⁵ = 2*2*2*2*2

     = 32

Step-by-step explanation:

Step by Step Solution



STEP1:Equation at the end of step 1

STEP2:

22b5 Simplify ———— 9b

Dividing exponential expressions :

 2.1    b5 divided by b1 = b(5 - 1) = b4

Final result :

4b4 ——— 9

Answer: See below

Step-by-step explanation:

4) [tex]p(5.8 < x < 8.8)=0.7838[/tex] (By calculator)

5) [tex]p(x \leq 4.8)=0.0032[/tex] (By calculator)

6) [tex]P(x > 9.8 \text { or } x < 5.8)= P(x < 5.8)+P(x > 980)[/tex]

[tex]\begin{array}{ll}\text { Now } \quad & P(x > 9.8)=0.0345 \\\text { and } \quad & P(x < 5.8)=0.0345\end{array}[/tex]

[tex]p(x > 9: 8 \text { or } x < 5.8)=0.069[/tex]

7) No, there are no outliers in the data set

The first group of three wolves can be formed in 28 ways.

We have been given that Nine wolves, eight female and one male, are to be released into the wild three at a time.

What is the meaning of combination?

A combination is a combination of n things taken k at a time without repetition.

We need to choose 1 male wolf out of 1 wolf male. So  we can choose one wolf as

[tex]c(1,1)=\frac{1!}{1!(1-1)!} =\frac{1!}{1!}=1!=1[/tex]

We can choose 1 male wolf in only 1 way.

Since the female wolfs are identical that means order doesn't matter, so we will use combinations.

We can choose 2 female wolves out of 8 as

[tex]C(8,2)=\frac{8!}{2!(8-2)!} =\frac{8\times 7 \times 6!}{2\times 1\times 6!} =\frac{8\times 7}{2} =28[/tex]

Therefore, we can choose 2 female wolves out of 8 female wolves in 28 ways.

We have to find number of ways in which the first group of three wolves can be formed we will multiply the ways of choosing 1 male wolf and 2 female wolves.

Number of ways farming first group of three wolves

1(28)=28

Therefore, the first group of three wolves can be formed in 28 ways

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Answer:

Step 1 : First, solve one linear equation for y in terms of x .

Step 2 : Then substitute that expression for y in the other linear equation. ...

Step 3 : Solve this, and you have the x -coordinate of the intersection.

Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

Step-by-step explanation:

These are all of the steps

Answer:

1. D, 2. B

Step-by-step explanation:

1. D. 1.15b

2. -4(x + 2) - 1/2(2x - 6)
(-4x -8) - (x - 3)
B. - 5x - 5

Hope this helps :)

Answer:

No solution

Step-by-step explanation:

[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {y = 3x - 4}} \right. \\\\[/tex]

Multiply the second equation by 2 to make the "x" coordinates the same.

[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {2(y = 3x - 4)}} \right. \\\\[/tex]

[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {2y = 6x - 8}} \right. \\\\[/tex]

Subtract 6x from the first equation with the second equation

[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {-2y = -6x + 8}} \right. \\\\[/tex]

[tex]\rightarrow 0y = 0x + 12[/tex]

Simplify the R.H.S

[tex]\rightarrow 0 \neq 12[/tex]

This system of equation has no solution.

Answer:

10 + 16 = 26

16 + 26 = 42

26 + 42 = 68

(C) the next three terms are 26, 42, 68

Answer:

8490.56 yd^2

Step-by-step explanation:

find radius by dividing 104 by 2

we get 52 yd

now the area of circle is [tex]\pi r^{2}[/tex]

we use 3.14 for pi

so 3.14 times 52*52

3.14 times 2704

8490.56

By evaluating the given relation, we conclude that the correct options are A, D, and G.

We have the relation:

k = ∛(V/7)

Such that this relation gives us pairs of the form (V, k).

So, to check if the points belong to the graph of the relation, we need to evaluate the points on the given relation and see if the relation is true.

A) (0, 0) gives:

Evaluating in V = 0

k = ∛(0/7) = 0

So this point belongs.

B) (1, 1) gives:

k= ∛(1/7) = 0.52

So we have the point (1, 0.52) and the point  (1, 1)  then does not belong to the graph.

We just need to do that for all the points, evaluate V and see if k gives the same value as in the point.

With this method, we will see that the correct options are:

D) (7, 1)

k= ∛(7/7) = 1

G) (56, 2)

k= ∛(56/7)  =   ∛(8) = 2

If you want to learn more about evaluations, you can read:

https://brainly.com/question/4344214

Step-by-step explanation:

Judge A: 41  (0.20 x 40)+(0.35 x 45)+(0.20 x 30)+(0.25 x 45)

Judge B: 42.75 (0.20 x 45)+(0.35 x 45)+(0.20 x 40)+(0.25 x 40)

Judge C: 38 (0.20 x 35)+(0.35 x 40)+(0.20 x 35)+(0.25 x 40)

Total score: 40.6

Answer:

A = 2/15 in^2

Step-by-step explanation:

To find the area of a rectangle, we multiply length times width

A = l*w

A = 2/5 * 1/3

A = 2/15 in^2

Answer:

[tex]\sf area=\dfrac{2}{15} \ in^2[/tex]

Step-by-step explanation:

Area of a rectangle = width x length

Given:

Substitute these values into the equation are solve:

[tex]\sf \implies area=\dfrac13 \times \dfrac25[/tex]

[tex]\sf \implies area=\dfrac{1 \times 2}{3 \times 5}[/tex]

[tex]\sf \implies area=\dfrac{2}{15} \ in^2[/tex]