what are the numbers for h?

Answer:

252 in.²

Step-by-step explanation:

12 in. by 21 in. rectangle

The 6 in. by 3 in. rectangle missing on the left bottom corner is made up by the same-sized rectangle on the right side.

A = LW

A = 21 in. × 12 in.

A = 252 in.²

Answer:

x = 65 degrees

Step-by-step explanation:

Let's say z=the angle adjacent (next to) to the 145 degrees angle.

80 + x + z = 180  ==> 180 is the total number of degrees in a triangle

z + 145 = 180  ==>   In addition, if you add up Angle z and 145

                               degrees, you get a straight line which totals to 180

                               degrees

z + 145 - 145 = 180 - 145  ==> solve for z

z = 35 degrees

80 + x + z = 180

80 + x + 35 = 180  ==> plug in 35 for z

80 + 35 + x = 180

115 + x = 180  ==> solve for x

115 - 115 + x = 180 - 115 ==> simplify

x = 65 degrees

Step-by-step explanation:

The spherical and Cartesian coordinates are related by the equations,

x = ρ sin(φ) cos(θ)

y = ρ sin(φ) sin(θ)

z = ρ cos(φ)

Here, x, y and z represent the coordinates of the center of the sphere on x, y and z axes respectively.

Now, multiply the given surface equation by ρ.

ρ² = ρsin(θ) sin(φ)

We have, ρ² = x² + y² + z².

Substitute this value in above equation and also replace the RHS by y coordinate.

x² + y² + z² = y

Now, simplify the above equation.

x² + y² - y + z² = 0

x² + y² - 2y½ + (1/2)² + z² = (1/2)²

x² + (y - 1/2)² + z² = (1/2)² ...(1)

The general form of equation of sphere is,

(x - a)² + (y - b)² + (z - c)² = r²

Here, a, b, c are the coordinates of the center of the sphere on x, y, z axes respectively and r is the radius of the sphere.

Compare equation (1) with the general form of equation of sphere. Therefore we get,

Therefore, the radius of the sphere is 1/2 and center of sphere is at (0, 1/2, 0).

Thus, The given equation represents - a sphere of radius 1/2 centers at (0, 1/2, 0).

The percent increase of the trees is 50%

From the question, we have the following parameters that can be used in our computation:

Initial = 2 feet

Final = 3 feet

The percent increase can then be calculated using

Percentage increase = (Final length - Initial length)/Initial length * 100%

Substitute the known values in the above equation, so, we have the following representation

Percentage increase = (3 - 2)/2 * 100%

Evaluate

Percentage increase = 50%

Hence, the percentage increase is 50%

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From the quadrilateral proof seen below we can prove that;

∠C + ∠D = 2∠AOB

The bisection of an angle simply means to divide an angle into two equal parts.

The sum of the interior angles of a quadrilateral is 360 degrees. Thus;

∠A + ∠B + ∠C + ∠D = 360°     ------(1)

In △AOB,

∠AOB + ∠A/2 + ∠B/2 = 180°

Multiply through by 2 to get;

2∠AOB + ∠A + ∠B = 360°

Thus;

∠A + ∠B = 360° - 2∠AOB

Put 360° - 2∠AOB for ∠A + ∠B in eq 1 to get;

360° - 2∠AOB + ∠C + ∠D = 360°

This simplifies to;

∠C + ∠D = 2∠AOB

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Complete question is;

Bisectors of two adjacent angles of angles A and B of quadrilateral ABCD intersect at a point O. Prove that 2∠AOB = ∠C + ∠D

The distance of the reaction as Jerry drives at a rate of 35 mph is 11.73 m.

Distance is the total movement of an object without any regard to direction.

To calculate the approximate reaction distance, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitiute these values into equation 1

Hence, the distance of the reaction is 11.73 m.

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Reject the null hypothesis because [tex]$p$[/tex]-value [tex]$=0.0045$[/tex] is less than the Significance level x=0.025.

The null hypothesis is a widely used statistical theory that states that for any given single observable variable, there is no statistical relationship or significance between any two sets of observed data and measured events.

According to the given information

[tex]& H_0: \mu=57 \\[/tex]

[tex]& H_a ; \mu > 57 \\[/tex]

[tex]& \alpha=0.025 \\[/tex]

[tex]& \text { Test Statistic }=2.61[/tex]

So,

This is right tailed test

[tex]& \text { Using } z \text { table } \\[/tex]

[tex]& p(z > 2.61) \\[/tex]

[tex]&= 1-p(z < 2.61) \\[/tex]

[tex]&= 1-0.9955 \\[/tex]

[tex]& p \text {-value }= 0.0045[/tex]

Reject the null hypothesis because [tex]$p$[/tex]-value [tex]$=0.0045$[/tex] is less than the Significance level x=0.025.

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Answer: 40

Step-by-step explanation:

Answer: 20

Step-by-step explanation:
5x^2

5 ( 2 )^2 (substituting the value of x)

5 ( 2 x 2) (working out the exponents of x)

5 (4) (solving the brackets)

20

The image of point A after the dilation is (-9, 9)

From the question, we have the following parameters that can be used in our computation:

Point A = (-5, 5)

Center of dilation = (0, 0)

Scale factor of dilation = 1.8

From the question, we understand that:

We are to calculate the image of point A after the dilation.

This means that

Image point = Scale factor of the dilation  * Point A

Substitute the known values in the above equation, so, we have the following representation

Image point = (-5., 5) * 1.8

Evaluate the products

Image point = (-9, 9)

Hence, the image point is (-9, 9)

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Answer:

I pretty sure it's 2.4 miles

Answer:

- 2

Step-by-step explanation:

the factors of a difference of square are

a² - b² = (a + b)(a - b)

(1 + [tex]\sqrt{3}[/tex] )(1 - [tex]\sqrt{3}[/tex] ) ← are the factors of a difference of squares , then

(1 + [tex]\sqrt{3}[/tex] )(1 - [tex]\sqrt{3}[/tex] )

= 1² - ([tex]\sqrt{3}[/tex] )²

= 1 - 3

= - 2

The minimum amount of tournaments Amanda and Jennifer each need to play in order to have played the 40 number of games are 4 and 5 respectively.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Given that Amanda is playing has 10 games and the tennis tournament that Jennifer is playing has 8 games.

Now we will find the minimum same number of games in tournaments,

for that we will find the LCM of the numbers.

LCM of Amanda games in tournament and Jennifer games in tournament.

LCM of 10 and 8 is 40.

Therefore, the minimum amount of tournaments Amanda and Jennifer each need to play in order to have played the 40 number of games are 4 and 5 respectively.

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Therefore , the total mileage penalty you owe is $1,002.56

In algebra, an equation is a well-formed formula that connects two expressions with the equals sign to express the equality of the two terms. For example, in French, an équation is described as comprising one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions connected with the equals sign.

Here,

Given:

a truck with a three-year lease and a 10,000-mile annual mileage cap

32 cents per mile penalty for overages

a) first year you drive 9,295 miles

therefore,

Projected Total Miles= Actual Average Miles per day * Length of Lease

9,125 miles = 25 * 365 days

Allowed Total Miles =Annual Miles Allowed / 12 months * Length of Lease

10,000 miles = 10,000 / 12 months * 12 months

Projected Excess Miles = 0

Projected Lease-end Mileage Charge =Projected Excess Miles * Excess Miles Charge

$0.00 = 0 * $0.32

Therefore first year no excess milage penalty

b)second year you drive   11,040 miles

Projected Total Miles  Actual Average Miles per day * Length of Lease

10,950 miles = 30 * 365 days

Allowed Total Miles =Annual Miles Allowed / 12 months * Length of Lease

10,000 miles = 10,000 / 12 months * 12 months

Projected Excess Miles =Projected Total Miles - Allowed Total Miles

1040 miles = 11,040 - 10,000

Projected Lease-end Mileage Charge = Projected Excess Miles * Excess Miles Charge

$332.8 = 1040 * $0.32

Therefore second year $332.8 excess milage penalty

C)third year you drive  12,093  miles

Projected Total Miles  Actual Average Miles per day * Length of Lease

10,950 miles = 30 * 365 days

Allowed Total Miles =Annual Miles Allowed / 12 months * Length of Lease

10,000 miles = 10,000 / 12 months * 12 months

Projected Excess Miles =Projected Total Miles - Allowed Total Miles

2093 miles =12,093  - 10,000

Projected Lease-end Mileage Charge = Projected Excess Miles * Excess Miles Charge

$669.76= 2093 * $0.32

Therefore second year $669.76 excess milage penalty

Therefore , the total mileage penalty you owe is $669.76 + $332.8=$1,002.56

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Answer:

12

Step-by-step explanation:

2 is 40 percent of 5

12 is 40 percent of 30

Answer:

15 people would be running out of 30

Step-by-step explanation:

30/2

The solution for the expression 2^(x) − 2^(−x) = 5 is x = log2(10)

Substitute 2^(−x) for 5 and solve for x, which is log2(10).

The given expression ,

2^(x) − 2^(−x) = 5

2^(x) = 5 + 2^(−x)

2^(2x) = (5 + 2^(−x))^2

2^(2x) = 25 + 10*2^(−x) + 2^(−2x)

25 + 10*2^(−x) + 2^(−2x) = 2^(2x)

25 − 2^(2x) = 10*2^(−x) − 2^(−2x)

25 − 2^(2x) = 10*2^(−x) − 2^(−2x) + 2^(2x)

25 = 10*2^(−x) + 2^(2x) − 2^(−2x)

25 = 10*2^(−x) + 2^(−2x) (2^(2x) - 2^(−2x))

25/(2^(−2x) (2^(2x) − 2^(−2x))) = 10*2^(−x)

25/(2^(2x) − 2^(−2x)) = 10*2^(−x)

2^(x) = 10

x = log2(10)

Substitute 2^(−x) for 5 and solve for x, which is log2(10).

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Answer: 74

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

Got it right on the test.

Answer:

(1, -1)

Step-by-step explanation:

we isolate y in the first equation

2x+y=1

-2x.  -2x

y=1-2x

and now we fill y into second equation

4x-2(1-2x)=6

4x-2+4x=6

8x-2=6

   +2 +2

8x=8

/8 /8

x=1

and now to find y we insert x

2(1)+y=1

2+y=1

-2.   -2

y= -1

hopes this helps

Answer:

x = 3 or x = -1/2

Step-by-step explanation:

Solve for x:

2 x^2 - 5 x - 3 = 0

The left hand side factors into a product with two terms:

(x - 3) (2 x + 1) = 0

Split into two equations:

x - 3 = 0 or 2 x + 1 = 0

Add 3 to both sides:

x = 3 or 2 x + 1 = 0

Subtract 1 from both sides:

x = 3 or 2 x = -1

Divide both sides by 2:

Answer: x = 3 or x = -1/2

Answer: $79.79

Step-by-step explanation:

First, take 899 divided by 100% = 8.99

Then take 8.99 times 8.875 = $79.79

Answer:

Below

Step-by-step explanation:

8.875 % is .08875 in decimal form:

899 * .08875 = 79.79 dollars

Answer:

x=−2

Step-by-step explanation:

x2+5x+4−(2x2−10)=2x2−10−(2x2−10)

−x2+5x+14=0

(−x−2)(x−7)=0

−x−2=0

Hence B is the correct option

Answer:

4/3 also can be written 4:3

Step-by-step explanation:

Compare numbers in the order that the question asks for them. Order matters.

walkers/cyclers

= 80/60

Simplify.

= 8/6

= 4/3

The ratio of walkers to cyclers is 4/3 (also can be written 4:3)

△DEF is congruent to △D'E'F' because you can map △DEF to △D'E'F' using a reflection across the x-axis, which is a rigid motion.

What does a math congruent mean?

Congruent refers to having precisely the same form and size. Even after the shapes have been flipped, turned, or rotated, the shape and size ought to remain constant.

1)  Reflections, rotations and translations are rigid transformations, because they do not modify the lengths of the segments nor the angles, so the images and the preimages are congruents.

2) Let's see what transformation map △DEF is to △D'E'F' by analyzing the vertices of preimage and image:

Preimage         Image

D (-3, -1)            D' (-3, 1)

E (2, -4)             E' (2, 4)

F (4, -4)             F' (4, 4)

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The length of the Antenna will be;

⇒ h = 18 meters

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Tyler is 1.8 meters and his shadow is 6 meters.

And, Tyler is standing 54 meters from the antenna.

Now,

Since, Tyler is 1.8 meters and his shadow is 6 meters.

And, Tyler is standing 54 meters from the antenna.

Let the length of the Antenna = x

Hence, We get by definition of proportional, we get;

⇒ 1.8 / 6 = h / (54 + 6)

⇒ 0.3 = h / 60

⇒ h = 0.3 × 60

⇒ h = 18 meters

Thus, The length of the Antenna will be;

⇒ h = 18 meters

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(-12, -1) is a solution to both y= 4x - 8 and y = 8x - 4.

Any value of the variable that makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal is considered a solution to the problem. Finding the solution or solutions to an equation is known as solving it.

Unique, infinitely many solutions and no solutions are three types of solution.

If we put x=-12 and y=-1 in both of the given equation we will get L.H.S=R.HS . So (-12, -1) is the required solution.

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Answer: x=25

Step-by-step explanation:

x²+5=30

30-5=25

x²=25

[tex]\sqrt{x^2}=\sqrt{25}[/tex]

x=25

Answer:

x = -5 or 5

Step-by-step explanation:

1. subtract 5 from both sides

x^2 = 25

2. take the square root of both sides and remember to use positive and negative roots

x = ± 5

3. separate both solutions

x = -5 or x = 5

The number of combination possible = 15625

When the numbers are repeating

The number of possible combinations = 13800

Given that a certain combination lock requires three selections of numbers

Total possible numbers = 25

Part a

Total number of combinations possible = 25 × 25 × 25

Multiply the numbers

= 15625 possible combinations

Part b

The given condition is no number may be used twice

Total number of combinations possible = 25 × 24 × 23

Multiply the numbers

= 13800 possible combinations

Therefore, when the number are repeating, the possible combinations are 15625 and when the numbers are not repeating the possible combinations are 13800

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With fraction calculation we know that 1 1/2 cups of 1/3 cup is needed in order to make a 1/2 cup.

In order to figure out the amount of 1/3 cup needed to fill a 1/2 cup, we will calculate the fraction with the following fraction division:

1/2 ÷ 1/3

To calculate a fraction division we will need to multiply the first fraction with the inverse of the second fraction and we will get the following calculation:

1/2 × 3/1 = 3/2 = 1 1/2

Therefore to fill a 1/2 cup we will then need 3/2 cups or 1 1/2 cups of a 1/3 cup.

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Hello,

I hope you and your family are doing well!

To find the length of BE, we can use the Pythagorean theorem to find the length of AC, and then use the fact that DE is parallel to AC to find the length of BE.

First, we use the Pythagorean theorem to find AC:

AC^2 = AD^2 + DC^2

Substituting the known values, we get:

AC^2 = 18^2 + 12^2

AC^2 = 324

AC = sqrt(324) = 18

Since DE is parallel to AC, we can set up a proportion to find the length of BE:

BE/EC = AC/DC

Substituting the known values, we get:

BE/12 = 18/12

BE = (18/12) * 12

BE = 18/1

BE = 18

Therefore, the length of BE is 18.

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