A right triangle has a base of 6 inches and a height of 10 inches.What is the area of the triangle

The statements to determine the area of the polygon by division into triangles are evaluated as follows;

From the given description;

The polygon given can only be divided into two triangles if divided into triangles; GHK and HIK.

Hence, it follows that the area of triangle GHK plus the area triangle HIK is equivalent to the area of the given polygon.

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Answer:

Scott filled (1/2 - 1/4) of the jar, or 1/4 of the jar this week.

Let me know if this helps!

Answer:

He filled his jar 1/4 more this week.

Step-by-step explanation:

The explanation is very simple, you know that he added 1/4 coins last week and this week he added more coins that filled the jar half way:

1/2 - 1/4 = 1/4

or you can also use:

1/4 + 1/4 = 1/2

Complete question is;

A farmer is building a fence to enclose a rectangular area against an existing wall. Three of the sides will require fencing and the fourth wall already exists. If the farmer has 144 feet of fencing, what is the largest area the farmer can enclose?

Answer:

A_largest = 2592 ft²

Step-by-step explanation:

Let the width which is going to be perpendicular to the already existing fourth wall be denoted by y. Since there will be 2, it means total width = 2y.

Since the farmer has 144 ft of fencing and the total width is 2y,it means that the length of the fence will be expressed as;

Length = 144 - 2y

Area of rectangular fencing is;

A = y(144 - 2y)

A = 144y - 2y²

To find the largest area, we will find the first derivative and the equate to 0 after which we plug the value of y back into the area equation to get it.

dA/dy = 144 - 4y

At dA/dy = 0;

144 - 4y = 0

y = 144/4

y = 36 ft

Thus, largest area is;

A_largest = 144(36) - 2(36)²

A_largest = 2592 ft²

    The largest area the farmer can enclose with the fence with him will be 2592 square feet.

      Let the length of the field = [tex]x[/tex] feet

      And the width of the field = [tex]y[/tex] feet

Therefore, area of the rectangular field = Length × Width

                                                              A = [tex]x\times y[/tex] square feet

Since, length of the fence = 144 feet

And the farmer has to enclose three sides of the rectangle as shown in the figure attached.

Therefore, length of the fence = length + 2(width)

                                                   = [tex](x+2y)[/tex] feet

Hence, [tex](x+2y)=144[/tex]

[tex]x=144-2y[/tex]

By substituting the value of 'x' in the expression for the area of the rectangular field.

[tex]A=(144-2y)y[/tex]

[tex]A=-2y^2+144y[/tex]

Find the derivative of the expression with respect to [tex]y[/tex],

[tex]A'=-4y+144[/tex]

Now equate it to zero to get the value of y,

[tex]A'=-4y+144=0[/tex]

[tex]y=36[/tex]

Now substitute the value of 'y' in the expression of area to get the maximum area enclosed.

[tex]A=-2(36)^2+144(36)[/tex]

   [tex]=-2592+5184[/tex]

   [tex]=2592[/tex] square feet

   Therefore, maximum area the farmer can enclose with the 144 feet of fencing will be 2592 square feet.

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Answer:

x+y= 90

x+ y/2= 65

90-65= 25

y= 2*25= 50

x=40

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

|-7|=7, and 7*7 = 49

Answer:

Step-by-step explanation:

so we need two even intergeters that add to 70  when we multiply the bigger by 2 and add the smaller to that soooo

70= 2*y + x

but we can express x in terms of y b/c  it's a consecutive even integer soo

(b/c   x+2 = y, then x = y -2)

70= 2*y  + (y-2)  

70 = 2y + y - 2

72 = 3y

24 = y   :)  nice the bigger is 24 so the smaller is 22

70 = 2*24 + 22

70 = 48 + 22

70 = 70    nice !  

bigger = 24

smaller = 22  

:)

Answer:

bigger = 24

smaller = 22  

Step-by-step explanation:

Answer:

Angle C =  45°

Step-by-step explanation:

Hello There!

If you didn't know opposite angles are congruent in parallelograms

So ∠A≅∠C and ∠B≅∠D

So if ∠A = 45° then ∠C also equals 45°

As it is a parallelogram

[tex]\\ \sf\longmapsto <B\cong <D[/tex]

[tex]\\ \sf\longmapsto <A\cong <C[/tex]

[tex]\\ \sf\longmapsto <C=<A=45°[/tex]

Answer:

C [tex]\leq 34[/tex]

Step-by-step explanation:

Answer:

34is the answer gor the question

Answer:

y = 6x + 8?

Step-by-step explanation:

The starting equation was unclear but if its perpindecular, flip the given slope. For example, if the slope was 3/4, its perpindecular slope would be 4/3.

Answer:

.si sey el senocar 18

Step-by-step explanation:.basflone ne ombla

Answer:

3.00

Step-by-step explanation:

One bow and and 1 roll of wrapping paper  cost 6.00$

so the roll by itself would cost 6.00$

Answer: A - 33/100

Step-by-step explanation:

You have to multiply the first fraction by 10 to make 100 the least common denominator - 3/10(10) = 30/100

Add 30/100+3/100 = 33/100

Answer: 9

Step-by-step explanation:

Answer:

p(f)=5f-200

Step-by-step explanation:

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

Answer: No 0.3 as a percentage is larger than 25%

Step-by-step explanation:

'percent' is 'over hundred'

if you convert 0.3 into a percentage it becomes 30 percent

Samuel says that 25% is greater than 0.3 is not correct statement.

A percentage is a number or ratio expressed as a fraction of 100.

The percentage is denoted by the symbol %.

The percentage is used or most important application is to compare any two quantities. We compare one quantity against another, with the second quantity rebased to 100 by using percentage.

Samuels  says that 25% is greater than 0.3 is a false.

25% when it is converted to decimals.

25 divided by 100

we will get 0.25

and if 0.3 is converted to percentage

0.3×100=30%

We know that 30% is greater than 25%.

hence Samuel says that 25% is greater than 0.3 is not correct.

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Answer:

For the fractions question:

1/4<1/2

3/4<2/3

5/7<3/5

8/9>8/10

7/10<6/8

Hope this helps! (:

Answer and Step-by-step explanation:

When it says (f + g)(x), it means that it wants you to add the functions together.

So, let's add them.

[tex](2x^2 + 6x - 4) + (5x^3 -6x^2-3)\\\\\\5x^3 - 4x^2 + 6x - 7\\\\\\\\\\\\\\5x^3 - 4x^2 + 6x - 7[/tex]is the answer. (Answer choice B.)

#teamtrees #PAW (Plant And Water)

Answer:

$1,500

Step-by-step explanation:

Income - Expenses = Savings

     Income = 2 × 10,000 = $20,000

     Expenses = 3,500 + 10,000 + 5,000 = $18,500

$20,000 - $18,500 = $1,500 left for Savings

Answer:

720

Step-by-step explanation:

24500 (total) subtracted by (10,700 + 5000 + 1600) =7200. 7200 divide by 10 mo=720

If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690

Given the following information from the question

The total cost of fee =  $23,500

Amount got as help;

An academic scholarship of $8,200.

Other scholarships and grants of $7.400.

Grandparents pay $1,000

Amunt she had = 8200 + 7400 + 1000
Amount she had = $16600

Amount remaining = 23500 - 16600

Amount remaining = $6900

If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690

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Answer:

5x^2 - 2x + 4

Step-by-step explanation:

9514 1404 393

Answer:

  nonagon

Step-by-step explanation:

The adjacent exterior angle is 180° -140° = 40°. There are 360°/40° = 9 of those angles around the regular polygon, so it is 9-sided.

The polygon is a nonagon.

Answer:

 nonagon

Step-by-step explanation:

i got 100%

Answer:

3/32

Step-by-step explanation:

9/16 × 3/4=27/144=3/16×1/2=3/32

Answer:

No.

Step-by-step explanation:

Triangle DFE justifies itself with the SAS (side-angle-side) postulate, while Triangle ABC simply shows that ∡B & A are similar. They are not justified by the same standard, and so there is no way to tell if these triangles are similar.

Answer:

4) 91.75

Step-by-step explanation:

7x+20+9x-4=180

16x=164

x=10.25

7(10.25)+20=

71.75+20=91.75

Answer:

You are correct 91.75 is the answer

Step-by-step explanation:

This is a cyclic quadralterial since all the. vertices of the quadralterials touch the circle circumference. Opposite angles are supplementary in cyclic quadralterials. Angle C and Angle D are opposite angles so

[tex]7x + 20 + 9x - 4 = 180[/tex]

[tex]16x + 16 = 180[/tex]

[tex]16x = 164[/tex]

[tex]x = 10 \frac{4}{16} [/tex]

[tex]x = 10.25[/tex]

Plug 10.25 into 7x+20

[tex]7(10.25) + 20 = 91.75[/tex]

You are correct

Answer:

Este acontecimento se repetirá 300 dias depois.

Step-by-step explanation:

Quando os eventos se repetirão no mesmo dia?

Cada evento tem uma frequência.

Eles ocorrem simultaneamente a cada x dias, e x é dado pelo MMC(Mínimo Múltiplico Comum) entre as frequência.

Neste problema:

A cada 15 dias o avô visita.

A cada 100 dias o tio visita.

A cada 12 dias vai à praia.

Quantos dias depois este acontecimento se repetirá?​

Os três no mesmo dia vão se repetir após x dias, em que x é dado pelo MMC de 15, 100 e 12

MMC de 15, 100 e 12

Fatorando simultâneamente estes valores:

15 - 100 - 12|2

15 - 50 - 6|2

15 - 25 - 3|3

5 - 25 - 1|5

1 - 5 - 1|5

1 - 1 - 1

Então:

mmc(15,100,12) = 2*2*3*5*5 = 300

Este acontecimento se repetirá 300 dias depois.

Answer:

a) The 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85 is (4.46, 5.24).

b) The 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56 is (4.01, 5.11).

c) A sample size of 12 is needed.

d) A sample size of 125 is needed.

Step-by-step explanation:

(a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85.

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{0.78}{\sqrt{15}} = 0.39[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.85 - 0.39 = 4.46

The upper end of the interval is the sample mean added to M. So it is 4.85 + 0.39 = 5.24

The 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85 is (4.46, 5.24).

(b) Compute a 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places.)

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.327\frac{0.78}{\sqrt{11}} = 0.55[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.56 - 0.55 = 4.01

The upper end of the interval is the sample mean added to M. So it is 4.56 + 0.55 = 5.11

The 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56 is (4.01, 5.11).

(c) How large a sample size is necessary if the width of the 95% interval is to be 0.46?

95% CI means that [tex]z = 1.96[/tex]

A sample of n is needed, and n is found when M = 0.46. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.46 = 1.96\frac{0.78}{\sqrt{n}}[/tex]

[tex]0.46\sqrt{n} = 1.96*0.78[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.78}{0.46})^2[/tex]

[tex]n = 11.05[/tex]

Rounding up

A sample size of 12 is needed.

(d) What sample size is necessary to estimate true average porosity to within 0.18 with 99% confidence?

99% CI means that [tex]z = 2.575[/tex]

A sample of n is needed, and n is found when M = 0.18. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.18 = 2.575\frac{0.78}{\sqrt{n}}[/tex]

[tex]0.18\sqrt{n} = 2.575*0.78[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*0.78}{0.18})^2[/tex]

[tex]n = 124.5[/tex]

Rounding up

A sample size of 125 is needed.

Answer:

Step-by-step explanation:

number of elements in set A=5

number of elements in set B=5

so they are equivalent.

Answer:

a/9

2+5

0+0

maybe 7

an expression is any problem that does NOT have an equal sign

Answer:=7

Step-by-step explanation:

2+5

0+0

maybe 7

an expression is any problem that does NOT have an equal sign

well if she payed 40% and an average baseball glove costs $120 – $300

and a bat costs $75-$185. that would mean she spent around $197 or $485

which would mean

40% out of 197 is 78.8

and 291

i believe is the correct answer

According to the regression equation, the predicted Monthly Natural Gas Consumption (ŷ) can be estimated by subtracting 1.07 times the Thickness of Insulation (x1) and 0.64 times the Outdoor Temperature (x2) from 57.25.

The regression equation provided is:

ŷ = 57.25 - 1.07x1 - 0.64x2

Where:

ŷ represents the predicted value of Monthly Natural Gas Consumption (cubic feet)

x1 represents the Thickness of Insulation (inches)

x2 represents the Outdoor Temperature (ºF)

Based on the regression equation, the coefficients indicate the relationship between the independent variables (Thickness of Insulation and Outdoor Temperature) and the dependent variable (Monthly Natural Gas Consumption).

The coefficient for x1 (Thickness of Insulation) is -1.07. This means that, holding the Outdoor Temperature constant, for every 1-inch increase in the Thickness of Insulation, the predicted Monthly Natural Gas Consumption is expected to decrease by 1.07 cubic feet.

The coefficient for x2 (Outdoor Temperature) is -0.64. This means that, holding the Thickness of Insulation constant, for every 1-degree Fahrenheit increase in the Outdoor Temperature, the predicted Monthly Natural Gas Consumption is expected to decrease by 0.64 cubic feet.

The constant term in the equation is 57.25. This represents the predicted Monthly Natural Gas Consumption when both the Thickness of Insulation and Outdoor Temperature are zero.

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