Choose all the equations that are equivalent
to -3(x - 2) = 4x − 2(x - 1).
-
Enter the corresponding letters, in alphabetical
order, separated by commas (without spaces).
A. -5x = -4
B. -5x = 4
C. -5x = 8
D. 2x - 4 =-3x
E. -3x + 6 = 2x + 2
F. -3x - 6 = 2x - 2

The area of the shaded region or portion in the circle is (25π - 24) cm².

The area of the shaded portion in the circle is found by subtracting the area of the two triangles from the area of the circle.

Therefore,

area of the circle = πr²

where

area of a triangle = 1/ 2 bh

where

Therefore,

r = 5 cm

area of circle = 5²π = 25π cm

area of one triangle = 1 / 2 × 6 × 4 = 12 cm²

The area of the two triangles = 2(12) = 24 cm²

Hence,

area of the shaded portion = (25π - 24) cm²

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Answer: 3.14 x 12^2 = 452.16

Answer:

0.00000078 is the answer to the question

Answer: 3 square inches

Step-by-step explanation:

   See attached for how I broke the shape up. Since each square is equal to 1 square inch, and the shape is about 3 squares, the answer should be;

O 3 square inches

Please note that different people may estimate differently.

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The original Length is, 6500 m.

Length is the term used for identifying the size of an object or distance from one point to the other.

Given that 6% of a length is 390 m

Let original length be a

Therefore,  6% of a = 390

a*6/100 = 390

a = 390*100/6

a = 6500

Hence, The original Length is, 6500 m.

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The probability that the next chew Jeriel removes from the bag is a flavor other than lemon will be 90.32%.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Jeriel has a bag that contains strawberry chews, lemon chews, and watermelon chews. He performs an experiment.

Jeriel randomly removes a chew from the bag, records the result, and returns the chew to the bag.

Jeriel performs the experiment 31 times.

The results are shown below:

A strawberry chew was selected 24 times.

A lemon chew was selected 3 times.

A watermelon chew was selected 4 times.

Based on these results, express the probability that the next chew Jeriel removes from the bag is a flavor other than lemon will be

P = 24/31 + 4/31

P = 28/31

P = 0.90322

P = 90.32%

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Answer:

x = 117.8

Step-by-step explanation:

The tan value of an angle gives the ratio between the opposing side and the adjacent side of the angle.

Taking the tan value of the listed angle :

tan 50° = x/99

1.19 = x/99

x = 1.19 × 99

x = 117.8 (nearest tenth)

Answer:

1/2,3/5,5/8,7/11,9/14,11/17

Explanation:

Each time, the numerator of the fraction goes up by 2 and the denominator goes up by 3.

Answer:

9/14, 11/17

Step-by-step explanation:

The pattern observed is :

Hence, the next 2 terms are :

Answer:

C

Step-by-step explanation:

Since the y-intercept is 9 look at the graphs and see which one has the point (0,9) and its gonna be the answer

Answer: see my work

Step-by-step explanation:

volume is lwh

volume is 3*3*10

volume is 9*10

volume is cubic cm

volume is 90

volume is 90 cubic cm

Answer:

90cm^2

Step-by-step explanation:

3x3=9

9x10=90

Answer:

52

Step-by-step explanation:

The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle. The measure of the angle θ will be 45°.

According to the arc and subtended angle theorem, The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle.

The angle made by an arc at the centre of the circle is double the angle made by the same arc at any point on the circle. Therefore, the measure of the angle θ will be half the measure of the ∠P.

As it can be observed the measure of the angle ∠P is 90°, therefore, the measure of the angle θ can be written as,

∠P = 2 × ∠θ

90° = 2 × ∠θ

∠θ = 45°

Hence, the measure of the angle θ will be 45°.

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The number of the different ways could the students sit with a partner during the awards ceremony will be 24.

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Four seventh-grade students won awards.

Then the number of the different ways could the students sit with a partner during the awards ceremony will be

P = 4!

P = 4 x 3 x 2 x 1

P = 24

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Answer:

C

Step-by-step explanation:

A linear equation consists of  Ax+By=C

That is the only one without that kinda format

Answer:

The Answer Is C

Step-by-step explanation:

The price of the service before the tip will be equal to $35.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The total price of the service will be calculated as:-

20%   =   $7

10%   =    7/2

100%  =   10 x 7/2

100%    =   $35

Therefore the price of the service before the tip will be equal to $35.

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Answer:

[tex]\sqrt{241}[/tex]

Step-by-step explanation:

3+1=4

7+8=15

4^2=16

15^2=225

16+225=241

[tex]\sqrt{241}[/tex]

Answer:

[tex]\displaystyle x=\biggr\{\frac{\pi}{6},\frac{11\pi}{6}\biggr\}[/tex]

Step-by-step explanation:

[tex]\displaystyle 5\cos x-\sqrt{3}=3\cos x;\:0\leq x < 2\pi\\\\5-\frac{\sqrt{3}}{\cos x}=3\\ \\-\sqrt{3}\sec x=-2\\\\\sec x=\frac{2}{\sqrt{3}}\\\\\sec x=\frac{2\sqrt{3}}{3}\\ \\\cos x=\frac{3}{2\sqrt{3}}\\ \\\cos x=\frac{3\sqrt{3}}{6}\\ \\\cos x=\frac{\sqrt{3}}{2}\\\\x=\biggr\{\frac{\pi}{6},\frac{11\pi}{6}\biggr\}[/tex]

The value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]

The quotient of numbers or expressions is the division of a number or expression by another

The expression is given as:

[tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex]

Rewrite as a product expression

[tex]\frac{4f^2}{3} \times \frac{4f}{1}[/tex]

Evaluate the product of 3 and 1

[tex]\frac{4f^2}{3} \times 4f[/tex]

Evaluate the product of 4f^2 and 4f

[tex]\frac{16f^3}{3}[/tex]

Hence, the value of the quotient expression [tex]\frac{4f^2}{3} \div \frac{1}{4f}[/tex] is [tex]\frac{16f^3}{3}[/tex]

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Answer:

its A

Step-by-step explanation:

On edge its the first answer

Answer:

The answer is 2 -option b

Answer:

B) 2

6²(6 × 6) = 36

Answer:

[tex]5x - 2y = - 10 \\ 5x = - 10 + 2y \\ x = \frac{ - 10 + 2y}{5} \\ \\ [/tex]

when y=0,-5,5,-10,10

then x=-2,-4,0,-6,2

The median of the number recorded in the question is 51.5 feet. This is obtained by dividing the sum of two numbers that occur centrally in half.

The central value in a list ordered from smallest to largest is the median of a set of values.

The formula for the Inter-quartile range is given as:

IQR = Q₃- Q₁ (that is Median of the Upper Half Less the Median of the lower half)

Step 1 - First, let's arrange the numbers sequentially

→  40, 40, 47, 49, 50, 53, 55, 57, 63, 76

Step 2 - Determine the upper and lower halves and their median

If the Lower half is  40, 40, 47, 49, 50, then it's median is 47

If the Upper half is   53, 55, 57, 63, 76, then its median is 57.

Hence:

IQR = 57 - 47

= 10 feet.

No, the friends didn't perform better in the second round because the was a significant drop in the median and the IQR. The median dropped from 51.5 to 47 and the IQR from 10 to 6.

It can be concluded that the distance in the second set of data is less variable when juxtaposed with those form the first set.

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Answer:

a) 28.34 m

Step-by-step explanation:

Finding ∠RQS :

Length of arc RS :

Answer:

Answer:

(a) 64°

(b) Yes, it is safe

Step-by-step explanation:

A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.

We solve the above question using the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse sides

θ = Angle formed with the ground = ?

Opposite side = 27 ft

Hypotenuse side = 30 ft

Hence,

sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9

θ = arc sin (0.9)

θ = 64.158067237°

Approximately to the nearest whole number = 64°

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?

From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°

Hence:

64° < 70°

Therefore, the ladder will be safe the way it is positioned.

Answer:

(a) 64°

(b) Yes, it is safe

Step-by-step explanation:

A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.

We solve the above question using the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse sides

θ = Angle formed with the ground = ?

Opposite side = 27 ft

Hypotenuse side = 30 ft

Hence,

sin θ = 27 ft/30 ftsin θ = 9/10 = 0.9

θ = arc sin (0.9)

θ = 64.158067237°

Approximately to the nearest whole number = 64°

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?

From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°

Hence:

64° < 70°

Therefore, the ladder will be safe the way it is positioned

Answer:

0.015

Step-by-step explanation:

We want to know that probability that we draw a green marble for the first AND the second AND the third draws. The act of drawing each marble changes the probabilities of the next draw, so we say that these events (drawing green marbles) are dependent. Mathematically, this means we'll be multiplying the probabilities of each event to get the probability of the whole thing. I'll denote the first, second and third green marble drawing events as A, B, and C.

For our first drawing, we have 5 possible green marbles to pick from out of 4 + 8 + 5 = 17 total marbles, so P(A), the probability of drawing a green marble, is 5/17.

Now, A, B, and C all represent the event of drawing a green marble, but the way they depend on one another is important here. If we want B to be our second draw, it'll depend on what happens in our first draw, A. We call this kind of probability conditional, and we write it as P(B | A), the conditional probability of event B after event A's occurred.

Here, event A is "drawing a green marble." What happens during event A? Well, we draw a green marble, so we have one fewer green marble, and one fewer marble altogether. Our chance of drawing a green marble after event A, P(B | A), is 4/16 or 1/4 then, since we now have 4 green marbles and 16 total marbles.

Using that same reasoning, P(C | B), the probability of event C (drawing a green marble) after event B has occurred, is 3/15, or 1/5, since we'll have 3 green marbles out of 15 total after drawing our second during event B.

Multiplying these all together, we have

[tex] \bold{ \underline{Solution }}[/tex]

[tex] \bold{ \underline{ \underline{Given}}}[/tex]

y = 9 feet

[tex] \bold{to \: find}[/tex]

Volume of cube

[tex] \bold {\underline{lets \: begin}}[/tex]

[tex]y \: = 9 \: feet \: [/tex]

Volume of cube= (S)³

[tex] \sqrt[3]{9} \: = \sqrt[3]{9 \times 9 \times 9} \\ \\ \sqrt[3]{9} = 729[/tex]

so,, 729 is our final answer

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Hey there!

Your formula: a * a * a or you could simply say a^3

Your equation;

9^3

= 9 * 9 * 9

= 81 * 9

= 729

Therefore, your answer should be:

729

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

If 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.

Option D) is the correct answer.

Area of a triangle is expressed as half base multiply by height.

A = (1/2)base × height

Given that;

A = (1/2)base × height

A = (1/2) × 7ft × 10ft

Area of the triangular garden A = 35ft²

Now, if 1 bag of soil covers 5 square feet. how many will cover 35 square feet?

1 bag covers 5ft²

x bags covers 35ft²

x = 35 / 5

x = 7 bags

Therefore,  if 1 bag of soil will covers 5 square feet, the number of bags of soil that will cover Susie's 35 square feet triangular garden is 7 bags.

Option D) is the correct answer.

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Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

p(H and <3)= [tex]\frac{1}{2}[/tex]×[tex]\frac{2}{6}[/tex]

                   = [tex]\frac{1}{6}[/tex]

Answer:

Step-by-step explanation:

45 cm times 20 cm you find by by mutiply and divide

The values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We know the perimeter of the rectangle = 2(w+l)

The sum of w+w+l = 120  (given)

2w + l = 120

From the above equation, we can calculate the l of the rectangle:

We have w = 10 feet

l = 100 feet

Area = 10×100 = 1000 square feet

When w = 30

l = 60 feet

Area = 60×30 = 1800 square feet

When w = 40

l = 40 feet

Area = 40×40 = 1600 square feet

Thus, the values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.

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Answer:

Option d

Step-by-step explanation:

The zeroes of given function can be obtained from graph when the graph intersects at x axis