Use the net to calculate the surface area of
the polyhedron.

Answer:

I think it is 23.333

Step-by-step explanation:

I added 16 to both sizes and got 3x=70

then divide 70 by 3 and got 23.333

It will take 48 min . to run 6 miles .

Given : In 0 min 0 miles .

            In 8 min . 1 mile .

            In 16 min . 2 miles .

            In 24 min . 3 miles .

To find :  how long will it take to run 6 miles

Calculation :

0 mile = 0 min

1 mile = 8 min

2 mile = 16 min

3 mile = 24 min

Therefore , avg . is of 8 min . per mile .

Hence , it will take ( 6 * 8 ) min . = 48 min . to run 6 miles .

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The value of x when y=3 is x=-3.

y ∝ x

y=kx

where k is the constant of proportionality.

put x=-2, y=2

2=k*-2

k=-1

now it's given that y=3 putting in the equation

y=kx

3=-1*x

x=-3

The value of x when y=3 is x=-3.

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No that is a rational number

It takes 10 hours to read 200 pages

The function is given as

P = 300 - 50h

When she reads 200 pages, we have

300 - 50h = 200

Subtract 300 from both sides

-50h = -500

Divide by -50

h = 10

Hence, it takes 10 hours to read 200 pages

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Answer:

6720

Step-by-step explanation:

[tex](8)(7)(6)(5)(4) \\ \\ =(56)(30)(4) \\ \\ =56(120) \\ \\ =6720[/tex]

The slower stone will take 3.33 seconds if the faster stone takes 10s to return to the ground.

It is defined as the rate of change in linear velocity with respect to time. It is also known as linear acceleration.

From the motion equation:

s = ut + at²/2

From the data given:

s = 0

0 = 3u(10) - 9.8(10)²/2

After solving:

u = 16.33 m/s

To calculate for time:

s = ut + at²/2

s = 0

u = 16.33

0 = 16.33t + 9.8t²/2

t = 3.33 seconds

Thus, the slower stone will take 3.33 seconds if the faster stone takes 10s to return to the ground.

The complete question is:

Two stones are thrown vertically upward from the ground, one with three times the initial speed of the other.

(a) If the faster stone takes 10s to return to the ground, how long will it take the slower stone to return?

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Answer:

Step-by-step explanation:

you can use the slide divide bottoms up method for this.

slide the 2 over to the 1 which gives:

x²+7x+2=0

then apply the quadratic formula to get

-7±√7²-4(1)(2)

______________

2

then we have

-7±√41÷2

If DA = 7.4 centimeters, then the radius of the circle EF is 3.7 inches.

A radius of a circle or sphere is any of the line segments from its center to its perimeter in classical geometry, and in more modern usage, it is also their length. The name is derived from the Latin radius, which means both ray and spoke of a chariot wheel.

The radius of a circle is the distance between the circle's center and any point on its circumference. It is usually represented by the letters 'R' or 'r'. This number is significant in almost all circle-related formulas. A circle's area and circumference are also measured in terms of radius.

Here, DA is a diameter  and EF is the radius.

Radius of a circle = 1/2 diameter

Where, d = 7.4

Radius of a circle, r = 1/2 d

Radius of a circle = 1/2(7.4)

Radius of a circle = 3.7

Therefore, the radius of the circle is 3.7 inches.

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Answer:

x=4

Step-by-step explanation:

This line has an undefined slope since it goes straight up

The line falls on the x coordinate 4

Answer:

Step-by-step explanation: 2x+12x = 14x

14x=70

70/14 = 5

x = 5

Answer: x=29

Step-by-step explanation:

12=70-2x

12=-2x+70

Subtract 70 from both sides: 12-70=-2+70-70

-58=-2x

Divide both sides by the same factor: -58/-2=-2x/-2

x=29

Answer:

Step-by-step explanation:

The answer is I.D.K

Answer: 2 [tex]\frac{14}{25}[/tex]

Step-by-step explanation:

2.56=

2 + 0.56=

2 + 56/100=

2 + 14/25=2 [tex]\frac{14}{25}[/tex]

Answer: -3

Step-by-step explanation:

bro i was just doing that in math class

Answer:

Angles U and V and angles T and P

Step-by-step explanation:

Answer: 2.16

Step-by-step explanation:

87.912 ÷ 40.7=

87.912/40.7=

(81.4+6.512)/40.7=

81.4/40.7 + 6.512/40.7=

2+6.512/40.7=2.16

The median change if the minimum number was removed is a increase by 3. 5 . Option A

Median is simply known as the middle number in a given set of data.

It is also defined as the number separating the greatest number from the least in a given set of data.

Given the data;

54,6,17,49,27,46,18,34

Arrange from least to greatest

6 , 17, 18, 27, 34, 46, 49, 54

The median = 27 + 34/ 2 = 30. 5

Removing the minimum digit which is 6, we have;

17, 18, 27, 34, 46, 49, 54

Median = 34

Find the difference in median= 30. 5 = 34 = -3. 5

Thus, the median change if the minimum number was removed is a increase by 3. 5 . Option A

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The height after the 18th month is 69 cm

The function definition is given as

H(m) = 51 + m

Where m represents the number of months

In this case;

m = 18

So, we have

H(18) = 51 + 18

Evaluate the sum

H(18) = 69

Hence, the height after the 18th month is 69 cm

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In the accompanying diagram of ABC, AB ≅ AC,. BD = 1. 3. BA, and CE = 1. 3. CA. Triangle EBC can be proved congruent to triangle.

What do you mean by congruent?

Triangles. Congruent

∆ABC ≅ ∆ DEF.

1. AB ≅ DE

2. BC ≅ EF

3. AC ≅ DF

4. ∠ A ≅ ∠ D

5. ∠ B ≅ ∠ E

6. ∠ C ≅ ∠ F

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The expression that iis equivalent to 8x³ − 64 when factored completely will be A. (2x − 4)(4x² + 8x + 16)

It should be noted that (2x − 4)(4x² + 8x + 16) will be:

= (2x − 4)(4x² + 8x + 16)

= 8x³ + 16x² + 32x - 16x² - 32x - 64

= 8x³ - 64

Therefore, the correct option is A.

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Answer:

7.07

Step-by-step explanation:

think about some perfect square values

7x7=49, which is very close to 50

so 7.07

Answer:

7.07

Step-by-step explanation:

√50≈7.07 because 7*7=49

The probability that a car is red is 1/3

The given parameters are

P(Car has two doors, given that it is red) = 0.6

P(car has two doors and is red) = 0.2

The probability that a car is red is

P(Red) = P(car has two doors and is red)/P(Car has two doors, given that it is red)

This gives

p(Red) = 0.2/0.6

Evaluate

p(Red) = 1/3

Hence, the probability that a car is red is 1/3

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∠6 = 43°

If two angles sum to 90 degrees, they are said to be complementary angles. In other terms, a right angle is created when two complementary angles are combined (90 degrees). Angles 1 and 2 are complementary if their total of angles equals 90 degrees (i.e., ∠1 + ∠2 = 90°), and as a result, they are referred to as each other's complements.

Now as per the question the given angle is

∠8 = 47°

It is also given that ∠6 and ∠8 form are complementary angles. Therefore it means that the sum of both the angles will be 90°

∠6 + 47° = 90°

Now subtracting 47 from both sides we will get :

∠6 = 90 - 47 = 43°

Therefore, ∠6 = 43°

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The first term of the geometric sequence is a(1) = 7.

The nth term of a geometric sequence is given by:

a(n) = a(1) . rⁿ⁻¹

Where:

a(1) = the first term

r = ratio

Parameter given in the problem:

a(5) = 112

Plug n = 5 into the formula

a(1) . r⁵⁻¹ = 112

a(1) . r⁴ = 112    ....... (1)

a(7) = 448

Plug n = 7 into the formula

a(7) = a(1) . r⁶

448 = a(1) . r⁶  ..... (2)

Divide (2) by (1)

448 : 112 = r⁶ : r⁴

4 = r²

Since  r² = 4, then r⁴ = ( r² )² = 4² = 16.

Substitute r⁴ = 16 into equation (1):

a(1) . 16 = 112

a(1) = 112/16 = 7

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There will be 2 people left in the last boat

A group of 408 people are going on a boat tour

The boat hold 7 people each

408/7

= 58.2

Hence 58 boats will be complete with 7 people on each boats and the number of persons in the last boat is 2

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When measuring height, it is necessary to represent both the vertical position and the separation between the minimum and maximum place or location. Rachel is 5 feet 6 inches tall, the tall is her cousin exists 2 feet 9 inches.

In math, tall can be defined as the vertical distance from the top to the base of the object. Tall is the distance between an object's highest and lowest points.

The measurement of an object's height from the base to the top is known as tall. It is sometimes referred to as altitude in geometry. The vertical distance between the lowest and highest point is measured. In coordinate geometry, it is often the measurement along the y-axis of an object.

Rachel/Cousin = Rachel's shadow / Cousin's shadow

5 feet 6/x = 2/1

simplifying the above equation, we get

5ft 6 = 2x

x = 5ft 6/2

x = 66in/2

x = 33 in

x = 2ft 9inch

Therefore, the value of x = 2ft 9inch.

Rachel is 5 feet 6 inches tall, the tall is her cousin exists 2ft 9inch.

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The sum of the given finite arithmetic series 7+14+21+ . . . . . . +105 is S(5) = 840

The formula for the nth term in an arithmetic series is given by:

a(n) = a(1) + (n-1) . d

Where:

a(1) = the first term

d = the common difference = a(n) - a(n-1)

The given arithmetic series:

    7+14+21+ . . . . . . +105

We can infer that:

a(1) = 7

d = 14 - 7 = 7

Find n that lead to a(n) = 105 by substituting a(1) = 7 and d =  7 into the formula:

a(n) = a(1) + (n-1) . d

105 = 7 + (n-1) . 7

105 = 7n

n = 15

Use the sum formula for n = 15.

S(n) = n/2 [a(1) + a(n)]

S(15) = 15/2 (7 + 105)

S(15) = 15 . 56 = 840

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Answer: Maybe D I'm not sure

Step-by-step explanation: