A rectangular garage has a perimeter of 46 meters and an area of 130 square meters. What are the dimensions of the garage?

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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Answer:

15. 4x¹⁰

16. 30m³

Step-by-step explanation:

15. Area of Rectangle is given by A=LW

    since W=x⁵ and L is 4 times W, L=4x⁵

    therefore, A = x⁵(4x⁵) = 4x¹⁰

16. Volume of Rectangular Prism is V=LWH

    W=6L=6m  and  H=5L=5m  and  L=m

   so V = m(6m)(5m) = 30m³

Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

Answer: 2 x 5 x 5 x 7 = 350. =2¹ x 5²x 7¹

Step-by-step explanation:

The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."

According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.

The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:

9c + 11a = 936

Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:

c = 10a + 3

We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:

9(10a + 3) + 11a = 936

90a + 27 + 11a = 936

101a = 936 - 27

101a = 909

a = 909 / 101

a = 9

Substituting this value back into the second equation, we find:

c = 10(9) + 3

c = 90 + 3

c = 93.

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Answer:

around 50 0f 70

i think

Step-by-step explanation:

The inequality value that would be able to show/x/ ≤ 5 is option A

In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.

The symbol that we have  is telling us that the value of the x would be less than  or it would be seen to be equal to five.

We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A

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so correlation coefficient = σ^XY/σ^Xσ^Y = 1.225 / 1.36 = 0.9

Step-by-step explanation:                                                                          

a) We need to find the conditional p m f of X when Y = 1.

So, when Y = 1, there are only two X values: X =1 and X =2.

X can have any of the following values: 0, 1, 2, or 3                                                                                                        

so P(0) = 0/ 0.2 = 0          

P(1) = 0.1/(0.1+0.1) = 0.5

P(2) = 0.1/( 0.1+ 0.1) = 0.5

P(3) = 0/ 0.2 = 0

b)  The correlation coefficient of X and Y isρXY              

ρ^XY=(X,Y)=(X,Y)/σ^Xσ^Y=σ^XY/σ^Xσ^Y

We will calculate σ^X first by μ^x

f x(x) = 0.2; x = 0

= 0.2; x =1

= 0.2 ; x = 2

= 0.4 ; x = 3

μ^x = 0.2 * 0 + 0.2 * 1 + 0.2 * 2 + 0.4 * 3 = 1.8

σ^X^ 2 = 0.2 * 1.82 + 0.2 * 0.82 + 0.2 * 0.22 + 0.4 * 1.22 = 1.36

σ^X = 1.166

We will calculate σ^y first by μ^y

f^ x (X) = 0.2; y = 0

= 0.2; y =1

= 0.2 ; y= 2

= 0.4 ; y = 3

μ^y = 0.2 * 0 + 0.2 * 1 + 0.2 * 2 + 0.4 * 3 = 1.8

σ^y^ 2 = 0.2 * 1.82 + 0.2 * 0.82 + 0.2 * 0.22 + 0.4 * 1.22 = 1.36

σ^y = 1.166

Now we will calculate σ^XY

σ^2^XY = 0.4 * ( 3 - 1.8)* ( 3-1.8) + 0.2 *( 0 -1.8) * ( 0 - 1.8) + 0.1 * ( 1- 1.8) * ( 1- 1.8) + 0.1 * ( 2 -1.8) * ( 1 -1.8) + 0.1 * ( 1 - 1.8) * ( 2 - 1.8) + 0.1 * ( 2 - 1.8) * ( 2 - 1.8) = 1.26

σ^XY = 1.225        

so correlation coefficient = σ^XY/σ^Xσ^Y = 1.225 / 1.36 = 0.9

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If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.

Given that,

the value of sin x = 0.2

We have to find the value of sin(π - x).

We know the trigonometric rule that,

sin(π - x) = sin (x)

for any value of x.

So here whatever the value of x, the value of  sin(π - x) is sin (x) itself.

So here sin x = 0.2.

So, by the rule,

sin(π - x) = sin (x) = 0.2

Hence the value is 0.2.

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(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

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Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

I'm not gonna lie, this is one the most wack graphs I've ever made.

Answer: t(x) or total amount

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

The coordinates of the midpoints of the given line segment is:

(3.5, 1.5)

The midpoint of a line segment is simply referred to as the center of that specific line segment.

Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.

The coordinates of the endpoints of the line are:

(4,6) and (3,-3)

The formula to find the coordinates of the midpoint of the line is:

(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Thus, we have:

(x, y) = (4 + 3)/2, (6 - 3)/2

= (3.5, 1.5)

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15 kilograms of the first type should be mixed with 25 kilograms of the other kind

If the blend costs  $5.50/kg, then:

on each kg at $5.00/kg, gain = $0.50  ($5.50 - $5.00)

on each kg at $5.80/kg, loss = $0.30  ($5.50 - $5.80)

Hence 3kg of the first kind must be mixed with 5kg of the second so that the gain on the first (3 x $0.50) is exactly the same as the loss on the second (5 x $0.30)

The required proportion is 3:5

In order to find how many kilograms of each type are needed to make 40kg, we will use the proportion obtained:

We have 3:5, total share = 3+5 = 8

First kind share = 3/8 x 40 kg = 15 kg

Second kind share = 5/8 x 40 kg = 25kg

Therefore, 15  kilograms of the first type is needed and 25 kilograms of the other kind is needed

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Answer:

x ∈ [-0.369, 0.678]

Step-by-step explanation:

To prove - \(\sqrt[4]{1 + 2x}\) ≈ 1 + \(\frac{1}{2}\) x

As given , f(x) = \(\sqrt[4]{1 + 2x}\)

As we know that the linear approximation can be defined as :

L(x) = f(a) + f'(a)(x-a)             .........(1)

Now,

We have to show that at a = 0 , equation (1) satisfies

Now,

f(0) = \(\sqrt[4]{1 + 0}\) = 1

Also,

f'(x) =

\(\frac{d}{dx} (\sqrt[4]{1 + 2x} ) = \frac{1}{4}(1 + 2x)^{\frac{1}{4} - 1}\frac{d}{dx}(1 + 2x) ) \\ = \frac{1}{4}(1 + 2x)^{\frac{-3}{4} } (2)\\ = \frac{1}{2}(1 + 2x)^{\frac{-3}{4} }\\\)

∴ we get

f'(x) = \(\frac{1}{2}(1 + 2x)^{-\frac{3}{4} }\)

⇒f'(0) = \(\frac{1}{2}\)

Now, equation (1) becomes

L(x) = f(0) + f'(0)(x-0)

     = 1 + \(\frac{1}{2}\) (x)

⇒ \(\sqrt[4]{1 + 2x}\) ≈ 1 + \(\frac{1}{2}\) x

Hence verified.

Now,

|\(\sqrt[4]{1 + 2x}\) - (1 + \(\frac{1}{2}\) x ) | ≤ 0.1

⇒ -0.36893 ≤ x ≤ 0.67766

⇒x ∈ [-0.369, 0.678]

Answer:

5:4

Step-by-step explanation:

3 shirts+2 shirts= 5 shirts

4 sweaters

Answer:

5:4   OR    5/4   OR    5 to 4

Step-by-step explanation:

First of all, I just want to explain that the answer can be written in the three different ways above.

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

To solve this question, first we need to know what a ratio is:

Ratio: In mathematics, a ratio indicates how many times one number contains another.

For example, if there are 8 oranges and 6 lemons in a bowl full of fruit, then the ratio of oranges to lemons is 8 to 6

Now, back to the question ⇒

The question is asking for the ratio of T-shirts to sweaters so we need to add all the T-shirts. It doesn't matter if the T-shirt is blue or white, etc.

3 + 2 = 5

5 T-shirts in total.

Then we see how many sweaters there are, which is 4.

There are 5 T-shirts to 4 sweaters, giving us the ratio 5:4

I hope that was helpful! Brainliest??? ;P

The anwser is C. Your welcome and i hope you all do good on your test. <3

Answer:

she gave 12 ti her sister

Answer:

Margret, Jay, and Andi each have a sticker collection. Jay has 34 stickers. Margret has 3 times as many stickers as Andi. Andi has 9 more stickers than Jay. How many stickers does Margret have?

How to solve:

a = andi's stickers

j = jay's stickers (34)

m = margret's stickers

9 + j = a    or    9 + 34 = 43

so a = 43

a x 3 = m    or    43 x 3 = 129

m = 129

Margret has 129 stickers

Answer: 49 cookies

Step-by-step explanation:  7 dozen= 84 , so subtract 84 by the 2 cookies she ate and you'll get 82, now 2 dozen= 24, so now subtract the 24 cookies that she gave to her brother by 82 and you'll get 58, then subtract the nine cookies she gave to her mom by 58 and you'll get 49 cookies.

so basically,, 84-2= 82 -2 = 58 -9= 49

I hope this helped :)

Answer:

  a) 7 m

  b) 22 cm

Step-by-step explanation:

Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.

The actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.

  plan : actual = 1 cm : 50 cm

  = 1 cm : 0.5 m

  = 2 cm : 1 m

Multiplying the scale by 7, we have ...

  2 cm : 1 m = 14 cm : 7 m

The actual length is 7 meters.

Multiplying the scale by 11, we have ...

  2 cm : 1 m = 22 cm : 11 m

The plan length is 22 cm.

Answer: 5/3a + 4/2b

Step-by-step explanation:

\(\dfrac{4}{3} a-\dfrac{1}{2} b+\dfrac{1}{3} a+\dfrac{5}{2} b\)

Rearrange:

\(\dfrac{4}{3} a+\dfrac{1}{3} a-\dfrac{1}{2} b+\dfrac{5}{2} b\)

Combine Like Terms:

\(\dfrac{4}{3} a+\dfrac{1}{3} a=\dfrac{5}{3} a\\-\dfrac{1}{2}b+\dfrac{5}{2} b=\dfrac{4}{2} b\)

\(\fbox{$\dfrac{5}{3}$a + $\dfrac{4}{2}$b}\)

The perimeter of the right triangle is 41 centimetres.

The right triangle have sides 11 centimetres, and 13 centimetres. Therefore, let's find the third side before finding the perimeter of the right triangle.

Hence, let's find the third side using Pythagoras's theorem.

Therefore,

c²  = a² + b²

where

Therefore,

11² + 13² = c²

121 + 169 = c²

c = √290

c = 17.0293863659

c = 17.03 cm

Hence,

perimeter of the right triangle = 11 + 13 + 17.03

perimeter of the right triangle = 41.0293863659

perimeter of the right triangle = 41 cm

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The perimeter of the triangle is 41 cm

To calculate the perimeter of a right triangle, we must add up the lengths of all three sides.

Assuming the sides are

opposite, a = 11 cm

adjacent, b = 13 cm

hypotenuse, c = ?

we can apply the Pythagorean theorem which determines the hypotenuse's length. The hypotenuse is recognized as the third side within a right triangle.

This principle mathematical expression reads:

c^2 = a^2 + b^2

c^2 = 11^2 + 13^2

c^2 = 121 + 169

c^2 = 290

c = sqrt(290)

c = 17

Solving for perimeter

Perimeter = a + b + c

Perimeter = 11 cm + 13 cm + 17 cm

Perimeter = 41 cm

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Answer:

Step-by-step explanation:

Answer:

82 Pa

Step-by-step explanation:

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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Answer:

Carmen ran \(\frac{1}{12} \) mile more than she walked.

Answer:

D

Step-by-step explanation: