The point G is the midpoint of FH
Find the location of H.
F -34
G -19

Answer:

145°

Step-by-step explanation:

35+(5x+5)° = 180° (opposite angles sum up to 180°)

35+5x+5 = 180

40+5x = 180

5x= 180- 40

5x = 140

x = 28

therefore, the missing angle = (5x+5)°

= (5×28+5)= 140+5= 145°

The height of the pole is 12.5 feet.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Cindy's shadow is 5 feet.

length of the shadow of the pole at the same time, she finds it to be 12.5 feet.

So,

12.5/5=x/5,

62.5=5x

x= 12.5 feet.

Hence, the height of the pole is 12.5 feet.

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The measure of the arc angle QTP is equal to 316° using the secant tangent angle.

The secant tangent angle is the angle formed by a tangent and a secant that intersect outside of a circle. The measure of the secant tangent angle can be found using the following formula:

θ = 1/2 (arc EB - arc BD)

where arc EB and arc BD are the measures of the arcs intercepted by the secant and tangent, respectively.

m∠QRT = 1/2(arc TSP - arc QT)

90 = 1/2(arc TSP - 68)

180 = arc TSP - 68 {cross multiplication}

arc TSP = 180 + 68

arc TSP = 248°

arc QTP = arc TSP + arc QT

arc QTP = 248 + 68

arc QTP = 316°

Therefore, the measure of the arc angle QTP is equal to 316° using the secant tangent angle.

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The probability that a randomly selected card does not have a face value of 8 is 9/13 or approximately 69.23%.

The probability that a randomly selected card does not have a face value of 8 can be calculated as follows:

There are a total of 52 cards in a standard deck, and there are 4 cards with a face value of 8. So, the number of cards that do not have a face value of 8 is 52 - 4 = 48.

Therefore, the probability that a randomly selected card does not have a face value of 8 is:

48/52 = 9/13

So, the probability that a randomly selected card does not have a face value of 8 is 9/13 or approximately 69.23%.

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Answer:

(x - 2) or (x + 5)

Step-by-step explanation:

Step 1: Write quadratic

x² + 3x - 10

Step 2: Factor

(x - 2)(x + 5)

Answer:  x2 + 3x – 10= (x+5)⋅(x−2)= -6

so x=-6

Step-by-step explanation:  "x2"   was replaced by   "x^2".

Factoring  x2+3x-10  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +3x  its coefficient is  3 .

The last term, "the constant", is  -10  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -10 = -10  

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   3 .

     -10    +    1    =    -9  

     -5    +    2    =    -3  

     -2    +    5    =    3

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  5  

                    x2 - 2x + 5x - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                   5 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (x+5)  •  (x-2)

            Which is the desired factorization

so (x + 5) • (x - 2)= x=-6

3x2 - 13x - 10

multiplying the first and third terms we have

-30x2

The factors of -30 that will be added to get - 13 are -15 and 2

so we split the expression further

= 3x2 - 15x + 2x - 10

= 3x (x - 5) + 2 (x - 5)

= (x -5)(3x + 2)

The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:

Step 1: Calculate the amount of discount = Regular Price × Discount rate

Discount rate = 35/100

Simplifying the value we have:

Discount rate = 0.35

Amount of discount = 91 × 0.35

Amount of discount = $31.85

Step 2: Calculate the sale price

Sale price = Regular price − Amount of discount

Sale price = $91 − $31.85

Sale price = $59.15

Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

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Answer:

.2 Cm

Step-by-step explanation:

The value of x which makes the given expression 1/2(3x+4) = 1/2x true is -2

We have to simplify the given expression to find the value of x

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

Cancel 1/2 from both sides

⇒ 3x + 4 = x

⇒ 2x = -4

⇒ x = -2

Hence, the value of x is -2 which makes the given expression true.

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The mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics

The vector graphics is defined as the computer graphics that the  visual images are created directly from geometric shapes. It is defined on the Cartesian plane such as lines, curves, texts, ovals and other geometric shapes

The vector artworks are the artwork that created by vector graphics. There will be lines curves, text, oval and other geometric shapes according to the mathematical expression

Therefore, the vector graphics is the mathematical instruction that defines the geometric shapes

Hence, the mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics

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The probability that one toss will come up heads and the other will come up tails when you flip a coin two times is 50%.

Imagine you've got a coin, and you flip it two times. Once you flip a coin, it can either arrive on heads (the side with a confront) or tails (the side with the hawk, in the event that it's a US quarter).

On the off chance that you flip the coin two times, there are four distinctive conceivable ways the coin can arrive:

heads-heads (HH),

heads-tails (HT),

tails-heads (TH),

and tails-tails (TT).

Presently, out of these four conceivable results, the HT and TH results have one hurl(toss) that comes up heads and the other hurl that comes up tails. So, we're curious about the likelihood of getting either HT or TH.

Since there are four conceivable results and two of them are HT and TH, the likelihood of getting one hurl that comes up heads and the other that comes up tails is 2 out of 4, or 50%.

So, in the event that you flip a coin two times, there's a 50-50 chance that you'll get one hurl that comes up heads and the other that comes up tails

Hence, the likelihood that one hurl will come up heads and the other will come up tails after you flip a coin two times is 2 out of 4, or 50%. 

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Answer:

256 ; 262144

Step-by-step explanation:

Given that :

1 sheet is cut into 4

Each of the 4 is also cut into 4

Let number of cut = n

Using the Recursive geometric sequence relation ;

An = a1 * q^(n-1)

2nd cut :

A2 = 1/4 * (1/4)^(2 - 1)

A2 = 1/4 * 1/4

1/A2 = 1/16

A2 = 16

After the 4th cut ; n = 4 ;

A4 = 1/4 * (1/4)^(4 - 1)

A4 = 1/4 * (1/4)^3

1/A4 = 1/4 * 1/4^3

1 / A4 = 1/4 * 1/64

1/A4 = 1/256

A4 = 256 pieces

For. The 9th cut n = 9

A9 = 1/4 * (1/4)^(9 - 1)

A9 = 1/4 * (1/4)^8

1/A9 = 1/4 * 1/4^8

1 / A9 = 1/4 * 1/65536

1/A9 = 1/262144

A9 = 262144 pieces

Answer:

The awnser to this equation is 120 cents

The cost of using a 200-watt television for 30 days, turned on for 2 hours per day, would be $1.20.  

To calculate the cost of using a 200-watt television for 30 days with 2 hours of daily usage at 10 cents per kilowatt-hour, we need to find the total energy consumption and then multiply it by the cost per kilowatt-hour.

First, let's find the total energy consumption:

1. Daily energy usage: 200 watts * 2 hours = 400 watt-hours
2. Monthly energy usage: 400 watt-hours * 30 days = 12,000 watt-hours

Now, we need to convert watt-hours to kilowatt-hours:
3. Monthly energy usage in kilowatt-hours: 12,000 watt-hours / 1,000 = 12 kWh

Finally, let's calculate the cost:
4. Cost of using the television for 30 days: 12 kWh * 10 cents per kWh = 120 cents

So, the cost of using a 200-watt television for 30 days with 2 hours of daily usage at 10 cents per kilowatt-hour is 120 cents.

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Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer:

(x-6)

Step-by-step explanation:

x² - 36 = (x+6)(x-6)

remeber that a negative and a positive = negative

and in this case 36 is negatice to verify your answer multiply brackets .

Answer:

b is correct

Step-by-step explanation:

The answer is sum 5. Sum is a way to combine everything. The sum combines two or more numbers to produce a new total. In addition to "sum," other words that can be used in place of "sum" include "all together," "put together," "how many in all," and "total."

 Hence the Sum is 5.

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Answer:

  10.)  -46 -38i

  11.)  12 +8i

Step-by-step explanation:

You want the products (2+6i)(-8+5i) and 4i(2-3i) expressed in standard form.

An expression containing i can be expanded or simplified by treating i the same as any other variable. All instances of i² can be replaced by -1.

  (2 +6i)(-8 +5i) = (2)(-8) +2(5i) +(6i)(-8) +(6i)(5i)

  = -16 +10i -48i +30i² . . . . . . i² = -1

  = -46 -38i

  4i(2 -3i) = (4i)(2) +(4i)(-3i) = 8i -12i²

  = 12 +8i . . . . . . . i² = -1

In linear equation , 24 new girls were added.

What are a definition and an example of a linear equation?

Total no. Of students = 432

Ratio of boys(b) to girls(g)=> b:g = 5:4

Let the common factor be x

Therefore,

5x + 4x = 432

9x =432

x = 48

Therefore ,

Original no. Of boys = 5×48= 240

Original no. Of girls = 4× 48 = 192

After addition of students:

New no. Of boys= 240 + 12 = 252

Let no. Of girls added be y

New total no. Of students = 432+12+y = 444+y

New ratio: b:g = 7:6

Therefore , equating no. Of boys:

7/(7 + 6) × (444 + y) = 252

7/13 × (444 + y) = 252

444 + y = (444 × 13) / 7

444 + y = 468

y = 24

Therefore, 24 new girls were added.

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Answer:

WXY = 90

XZY = 45

YXZ = 45

WRZ = 90

XWY = 45

Answer: 1/48

Step-by-step explanation:

Write 2.5/120 as a fraction , then rewrite it as 25/1200 simplify and get 1/48

Hope this helps!

Answer:

40.4026226 aka 40.403

Step-by-step explanation:

tan 22 degrees = h/100

Answer:

She would have woken up at 6:20 AM

Step-by-step explanation:

Answer:

6:20am

Step-by-step explanation:

Hope this helps!

Answer:36

Step-by-step explanation:

I took the assignment

Answer:

It is 36

Step-by-step explanation:

I too has did assignemnt

Check the picture below.

so the region is the one bounded by a hyperbola and two straight lines, one of which is the x-axis, or namely y = 0, since the hyperbola has a vertex at x = 4, then our bounds are from 4 to 5.

\(x^2-y^2=16\implies x^2-16=y^2\implies \pm\sqrt{x^2-16}=y \\\\\\ \stackrel{I~Quadrant}{+\sqrt{x^2-16}=y}\qquad \qquad \implies \stackrel{\textit{using the disk method}~\hfill }{\displaystyle\int_{4}^{5}~\pi \left( \sqrt{x^2-16} \right)^2\cdot dx\implies \pi \int_{4}^{5}(x^2-16)dx} \\\\\\ \pi \left( \left. \cfrac{x^3}{3} \right]_{4}^{5} ~~ - ~~\left. 16x\cfrac{}{} \right]_{4}^{5}\right)\implies \pi \left[\cfrac{61}{3}~~ - ~~16 \right]\implies \cfrac{13\pi }{3}\)

The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.

To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.

First, let's differentiate each term separately using the rules of differentiation.

Differentiating x²y with respect to x gives us 2xy using the product rule.

To differentiate 5, we know that a constant has a derivative of 0.

Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.

Differentiating x³ gives us 3x² using the power rule.

Now, we can rewrite the equation with its derivatives:

2xy - 2/y * dy/dx = 3x²

To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:

2xy = 2/y * dy/dx + 3x²

To isolate dy/dx, we move the term 2/y * dy/dx to the other side:

2xy - 2/y * dy/dx = 3x²

2xy = 2/y * dy/dx + 3x²

2/y * dy/dx = 2xy - 3x²

Now, we can solve for dy/dx by multiplying both sides by y/2:

dy/dx = (2xy - 3x²) * (y/2)

Simplifying further, we have:

dy/dx = xy - (3/2)x²y

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The expression that equals ∠BEC is 3x - 27, and the answer is B.

First, we find the measure of ∠BEC using the given information and the value of x. We get

Then, we use the fact that ∠AED is vertically opposite to ∠BEC, so ∠AED = ∠BEC = 63 degrees.

Finally, we need to find the expression among the given choices that equals 63 when x = 30.

Option A is too large, option C is too large, and option D is too small. Option B gives us

which matches the measure of ∠BEC. Therefore, the answer is B.

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Complete Question:

If the measure of BEC is (2x+3) and x=30, which expression could represent the measure of AED?