1 Look at parallelogram EFGH shown below. 10+ y E 10-9-8-7-6-5-4-3-2 H 9996 NYMNA 7 512 45679 -10k What is its perimeter? F 34 G fin 6 IN 00 of 10​

Answer:

8. 162.11 in²

9. 499.2 km²

Step-by-step explanation:

Total Surface Area or TSA of cone = πr(r + l)

where r is radius and l is slanted height.

For question 8.

diameter=8in

radius(r)=diameter/2=8/2=4

slanted height(l)=8.9 in

Now

substituting value of r and l in formula:

Total Surface Area of cone = π*4(4+8.9)=162.11 in²

For question 9.

diameter=14 km

radius(r)=diameter/2=14/2=7

slanted height(l)=15.7 in

Now

substituting value of r and l in formula:

Total Surface Area of cone = π*7(7+15.7)=499.20 km²

Answer:

8)  162.11 in²

9)  499.20 km²

Step-by-step explanation:

We need to find the surface area of the cones given their base diameter and slant height.

The formula for the surface area of a cone is:

\(\boxed{S.A.=\pi r(r+s)}\)

where:

\(\hrulefill\)

The diameter of a circle is twice its radius.

Given the diameter of the circular base is 8 in, its radius is r = 4 in.

Therefore:

To calculate the surface area of the cone, substitute these values into the formula:

\(\begin{aligned}\textsf{Surface area}&=4\pi (4+8.9)\\&=4\pi(12.9)\\&=51.6\pi\\&=162.1061809...\\&=162.11\; \sf in^2\end{aligned}\)

Therefore, the surface area of the cone is 162.11 in², rounded to the nearest hundredth.

\(\hrulefill\)

The diameter of a circle is twice its radius.

Given the diameter of the circular base is 14 km, its radius is r = 7 km.

Therefore:

To calculate the surface area of the cone, substitute these values into the formula:

\(\begin{aligned}\textsf{Surface area}&=7\pi (7+15.7)\\&=7\pi(22.7)\\&=158.9\pi\\&=499.1990726...\\&=499.20\; \sf km^2\end{aligned}\)

Therefore, the surface area of the cone is 499.20 km², rounded to the nearest hundredth.

The zeros of the polynomial function are x = -1 and x = 5

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

y = x⁴ - 4x³ - 4x² - 4x - 5

To calculate the zeros of the polynomial function, we create a graph of the polynomial

The point where the graph intersect with the x-axis are the zeros of the polynomial function

using the above as a guide, we have the following:

Zeros: x = -1 and x = 5

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Answer:

y = 36

Step-by-step explanation:

given y varies directly  with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition when x = 5 , y = 15

15 = 5k ( divide both sides by 5 )

3 = k

y = 3x ← equation of variation

when x = 12 , then

y = 3 × 12 = 36

Answer:

6 hours

Step-by-step explanation:

48 + 8.80

56.8 + 8.80

65.6 +8.80

74.4 + 8.80

83.2 +8.80

92 + 8.80

100.8

The monthly payments of the loan are illustrations of linear function

It will take Joel 37 months to pay off these two loans if they are $21,500 in total

For the first loan, we have:

For the second loan, we have:

So, the monthly payment (y) after each month (x) is:

\(y_1 = 2000 + 300x\) --- loan 1

\(y_2 = 1000 + 200x\) -- loan 2

Add both equations to get the monthly payment for both loans

\(y = y_1 + y_2\)

So, we have:

\(y = 2000 + 1000 + 300x + 200x\)

\(y = 3000 + 500x\)

The total loan is $21500.

So, we have:

\(3000 + 500x = 21500\)

Subtract 3000 from both sides

\(500x = 18500\)

Divide both sides by 500

\(x = 37\)

Hence, it will take Joel 37 months

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The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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Answer:

13 points

Step-by-step explanation:

Hope this helps answer your question!

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Answer:

512 ft and 1,232 ft

Step-by-step explanation:

area is length x width

the pool's area can be calculated doing 32ft x 16ft

the area of the pool is 512 ft

the deck's area can be calculated doing 28ft x 44ft

the area of the deck is 1,232 ft

you're welcome<3

Answer:

80 %

Step-by-step explanation:

FRACTIONS

X/100 = 25,390/32,000

CROSS MULTIPLICATION

X * 32,000 = 32,000X

25,390*100 = 2,539,000

DIVIDE

2,539,000/32,000 = 32000X/32000- CANCEL

X = 79.34375 % Round - X = 80%

Answer:

( 1 , -3 ) for every +1 on the x line you go -3 on the y I hope this is what you need

Answer:

The hourly growth rate parameter is of 4.74%

Step-by-step explanation:

Continuous growth model:

The continuous growth model for a population after t hours is given by:

\(P(t) = P(0)(1+r)^t\)

In which P(0) is the initial population and r is the hourly growth rate parameter, as a decimal.

A sample of 1500 bacteria selected from this population reached the size of 1805 bacteria in four hours.

This means that \(P(0) = 1500, P(t) = 1805, t = 4\)

Find the hourly growth rate parameter.

\(P(t) = P(0)(1+r)^t\)

\(1805 = 1500(1+r)^4\)

\((1+r)^4 = \frac{1805}{1500}\)

\(\sqrt[4]{(1+r)^4} = \sqrt[4]{\frac{1805}{1500}}\)

\(1 + r = (\frac{1805}{1500})^{\frac{1}{4}}\)

\(1 + r = 1.0474\)

\(r = 0.0474\)

0.0474*100% = 4.74%

The hourly growth rate parameter is of 4.74%

Answer:

C and D

Step-by-step explanation:

Let's solve for x to see what range the answer has to be in:

-2x - 3 ≤ -1

-2x ≤ 2

x ≥ -1

So the value of x must be larger than or equal to -1. So the answers would be 1 and 0

Answer:

K over two minus five

Step-by-step explanation:

I think?

Answer: The two lines intersect at (-4,3)

Step-by-step explanation:

So our first step would be to turn both of these into standard slope-intercept form.

1.)

4y + 3x = 0

4y = -3x

y = -3/4x

2.)

4y - x = 16

4y = x + 16

y = 1/4x + 4

Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)

For interest compounded continuously, the relationship between the future value(FV) and present value (PV) IS :

where:

i is the interest rate

t is the time in years

Using the given data:

PV = $ 2500

i = 8%

t = 4 years

The amount that would have been accumulated after 4 years:

Answer:

y=-4x+14

Step-by-step explanation:

A parallel line must always have the same slope, so it must be -4x, and on a graph y=-4x+14 passes through the point (4,-2)

Pythagoras - Has a theorem named after him

Thales - Contributed to the five basic theorems of geometry

Pythagoras was a Greek philosopher, mathematician, and founder of the Pythagorean school of philosophy. He lived in the 6th century BCE on the Greek island of Samos and is known for his contributions to mathematics, geometry, music, and philosophy.

Pythagoras is most famous for the theorem that bears his name, the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem is fundamental to the study of geometry and has applications in many fields, from architecture to physics.

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The value of the investment in 5 years is $5805.9

Interest is the amount earned over years for the amount invested.

It is given that

Principal = $5000

Rate = 3%

Compounded Quarterly

Time = 5 years

Amount = ?

The Amount is given by the formula

Amount = P( 1 + (r/n))ⁿˣ

Here n = t = time period for which the investment has been done.

Amount = 5000( 1+(3/4 * 100)⁴ˣ⁵

Amount = 5000 (1.16)

Amount = $ 5805.9

Therefore , The value of the investment in 5 years is $5805.9

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Answer: 14π

Step-by-step explanation: The formula for circumference is 2 * pi * the radius. However, we are looking for the terms of pi, so we will multiply 2 times pi to get 2 pi. then we get 2 pi x 7 which gives us 14pi, the answer.

Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

A Type I error occurs when the null hypothesis is rejected, even though it is true.

In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.

Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.

This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.

So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

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Answer:

x=12 Proportion should be 1 2/3

Step-by-step explanation:

To find PT, subtract 26 from 65= 39

26/39 is equal to 2/3, so 30/(4x-3) should also be equal to 2/3

30/(4x-3)=2/3 (Cross Multiply)

30*3=90

2(4x-3)=8x-6

8x-6=90 (Add 6 to both sides)

8x=96 (Divide 8 from both sides)

x=12

QT is equal to 4(12)-3=45

RT is 75

Proportion: 65/39=1 2/3

75/45=1 2/3

The two triangles exist congruent if they contain two congruent corresponding sides and their contained angles exist congruent.

Let \($&\overline{A B} \cong \overline{D E} \\\) and \($&\overline{A C} \cong \overline{D F}\)

Angle between \($\overline{A B}$\) and \($\overline{A C}$\) exists \($\angle A$\).

Angle between \($\overline{D E}$\) and \($\overline{D F}$\) exists \($\angle D$\).

Therefore, \($\triangle A B C \cong \triangle D E F$\) by SAS, if \($\angle A \cong \angle D$$\).

Given:

\($&\overline{A B} \cong \overline{D E} \\\) and

\($&\overline{A C} \cong \overline{D F}\)

According to the SAS congruence property, two triangles exist congruent if they contain two congruent corresponding sides and their contained angles exist congruent.

Let \($&\overline{A B} \cong \overline{D E} \\\) and \($&\overline{A C} \cong \overline{D F}\)

Angle between \($\overline{A B}$\) and \($\overline{A C}$\) exists \($\angle A$\).

Angle between \($\overline{D E}$\) and \($\overline{D F}$\) exists \($\angle D$\).

Therefore, \($\triangle A B C \cong \triangle D E F$\) by SAS, if \($\angle A \cong \angle D$$\).

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it is given that,

the triangle is isosceles triangle,

so, the two opposite angle will be the same,

m15x - 31 = 9x + 11

15x - 9x = 31 + 11

6x = 42

x = 42/6

x = 7

thus,the answer is x = 7

after the session the answer will be saved in your profile, so you can watch it later,

Answer:

A.

Step-by-step explanation:

I hope it helps

carryonlearning

have a great, good, nice, happy day

Answer:

You can cut the plank down from the size you buy to the

exact size, but you want to waste as little wood as possible.

Answer:7-10

Step-by-step explanation:

In this question it is asking what is the biggest change in the temperature that happened "next to the other one" on the table

And the change from 7-10 is the highest change that is "next to each other"

Therefore , the solution of the given problem of unitary method comes out to be the letters A, B, A, and B can thus be arranged in six distinct ways.

Using what was learned, utilising this varied approach, and combining all crucial factors from prior researchers who employed a certain methodology can enable completion of the assignment. The entity indicated in the proposition can then either also be discovered or both crucial processes will definitely miss the expression if the desired claim outcome occurs. A refundable prepayment of Rupees ($1.21) may be needed for fifty pens.

Here,

The following formula can be used to create permutations of n objects with repeats of k1, k2,..., kr objects of each type:

=> n!/(k1! * k2! * ... * kr!)

We have two different object kinds (A and B) here, both of which are repeated twice. As a result, we have:

n = 4 (the total number of things) (the total number of objects)

=>k1 = k2 = 2 (the number of objects of each category) (the number of objects of each type)

The result of the formula is:

=> 4!/(2! * 2!) = 24/(2 * 2) = 6

The letters A, B, A, and B can thus be arranged in six distinct ways.

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