What is the length of the unknown leg of
the right triangle rounded to the nearest
tenth of a meter?
11 m
?
42.8 m

Answer:

diameter - B

central angle - E

radius - A

tangent - D

minor arc - F

chord - C

Answer:

Expression D has the least value

Answer:

[tex]A = 10,000(1.05t)[/tex] where t is in years

Step-by-step explanation:

I'm going to assume that the expectation that Cameron has is the amount of money after t years.

We can use the simple interest formula [tex]A = P(1+rt)[/tex] where A is the final amount, P is the principal, r is the rate, and t is time.

We can plug in 10,000 for P and 0.05 for r, giving us

[tex]A = 10,000(1.05t)[/tex]

Answer:

15%

Step-by-step explanation:

see the picture for explanation

Answer:

28%.

Step-by-step explanation:

That would be 100 * 7/25

= (100/25) * 7

= 4*7

= 28.

Answer:

[tex]x \approx 9.823\ ft[/tex]

Step-by-step explanation:

Remember that the area of a sector is defined as:

[tex]A = \frac{\theta}{360^\circ}\times \pi r^2[/tex]

In this problem, we are given the area [tex]A[/tex], and the angle [tex]\theta[/tex]. We can set up an equation to solve for the radius, which is x:

[tex]A = \frac{\theta}{360^\circ}\times \pi r^2\\128 = \frac{152}{360}\times \pi r^2\\128 \times \frac{360}{152} = \pi r^2\\\frac{5760}{19} = \pi r^2\\r = \sqrt{\frac{5760}{19 \pi}}\\r \approx 9.823[/tex]

Answer:

r ≈ 9.8 feet

Step-by-step explanation:

Formula of A Sector

Substitute the given values in the formula to find r.

Answer:

Angle 2 = 150°

Step-by-step explanation:

▪︎ Measures of supplementary angles add up to 180°.

Therefore,

Angle 1 + Angle 2 = 180°

Angle 1 = 30°

30° + Angle 2 = 180°

Angle 2 = 180° - 30° = 150°

Answer:

60%

Step-by-step explanation:

Percent means per hundred. Change to "per hundred"

3/5 = 6/10 = 60/100

3/5 is 60%

OR

Divide 3/5 means 3÷5...

3÷5 = .6

Change decimal to percent by multiplying by 100.

.6 × 100 = 60

60%

Answer:

60%

Step-by-step explanation:

well if they only finished 3/5 it’s going to be

60/100 = 60%

The volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have a sphere with a 2-inch radius is packed in a cube so that all sided touch.

The volume of the sphere = (4πr³)/3 = (4π(2)³)/3 = 33.51 cubic inches

The side length of the cube = 4 inches

Because diameter of the sphere is 4 inches and all sided touch to the cube face.

Volume of the cube = 4³ = 64

The volume of the empty space = 64- 33.51 = 30.49 cubic inches

Thus, the volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.

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Answer:

BC = 17 - x

Step-by-step explanation:

Let AC be the line segment and B be some point on it,

AB + BC = AC

( 2x - 8 ) + BC = x + 9   ...............(1)

BC = x + 9 - ( 2x - 8 )
BC = 17 - x

Answer:

here we go

Step-by-step explanation:

Stirring a cup of hot tea causes a metal spoon to get warm. Which statement best explains why the spoon gets warm? Heat energy transfers from the hot tea to the spoon.

Answer:

Step-by-step explanation:

The slope within two sets of points is calculated using the slope equation [tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

The slope of a line or points is the rate of change of the line.

This in other words means that, the vertical change per unit horizontal change

Assume that the points are given as:

(x1, y1) and (x2, y2)

The slope (m) of the points is:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

Hence, the equation of two sets of points is [tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

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Answer:

Step-by-step explanation:

8²p=8^4

64p=4096

p=64

p could also equal 2

8^2x2=8^4

Answer: P = ^2

Step-by-step explanation:

8^4= 4096

8^2= 64

4096/64=64

(8^2)^2= 8^4

4096 = 4096

I'm good how's life!

Answer:

  (d)  X = [-27, 8]

Step-by-step explanation:

The solution to the matrix equation can be found by left-multiplying both sides of the equation by the inverse of the coefficient matrix.

  AX = B . . . . given

  X = A⁻¹B

__

  [tex]X=\left[\begin{array}{cc}2&7\\1&4\end{array}\right]^{-1}\left[\begin{array}{c}2\\5\end{array}\right] =\left[\begin{array}{cc}4&-7\\-1&2\end{array}\right]\left[\begin{array}{c}2\\5\end{array}\right] \\\\X=\left[\begin{array}{c}-27\\8\end{array}\right][/tex]

_____

Additional comment

A calculator or spreadsheet can help with this. The solution can also be found by row-reducing the augmented matrix.

Using it's concept, it is found that the desired probability is given by:

P(Head, Diamond AND Head, Heart) = 1/64.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, each outcome is equally as likely, having a 1/8 probability, and they are independent.

Then:

P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.

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The experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A computer generates 50 integers from 1 to 8 at random.

Total number of outcomes = 5+8+9+7+4+6+5+6  = 50

Computer generating a 2 = 8

Computer generating a 4 = 7

P(computer generating a 2) = 8/50

P(computer generating a 4) = 7/50

P(computer generating a 2 or a 4) = 8/50 + 7/50 = 15/50 or

= 0.3×100

= 30%

Thus, the experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.

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The unicycle would move 2.512 meters if the wheel turns once

The wheel needs to rotate completely 40 times in order for Pierre to travel 100m

An equation is an expression that shows the relationship between two or more numbers and variables.

a) The circumference of the wheel = π * diameter = 3.14 * 80 cm = 251.2 cm = 2.512 m

The unicycle would move 2.512 meters if the wheel turns once

b) For a 100m race:

Number of wheel rotation = 100 m / 2.512 m = 39.8

The wheel needs to rotate completely 40 times in order for Pierre to travel 100m

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Answer:

The rule is increase by 5. That means the next term would be 26.

Answer:

d)142º

Step-by-step explanation:

[tex]\widehat{AB}=2\times71\º=142\º[/tex]

5 (12 + x)

Step-by-step explanation:

Answer:

5(12+X)

Step-by-step explanation:

The circumference of the circle with a radius of 49mm is 308mm

The circumference of the circle is also known as its perimeter. The formula is expressed as:

C = 2pi r

r is the radius = 49mm

pi = 22/7

Substitute

C = 2 * 22/7 * 49
C = 2 * 22 * 7
C = 308mm

Hence the circumference of the circle with a radius of 49mm is 308mm

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Answer:

B

Step-by-step explanation:

Answer:

d=6 & p=13

Step-by-step explanation:

1. P+d=19

×9

2. 9p +5.50d=150

×1

9p+9d=171

-

9p +5.50d=150

3.5d=21

d=6

Substituting d=6 in 1.

P+6=19

P=13

The values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We know the perimeter of the rectangle = 2(w+l)

The sum of w+w+l = 120  (given)

2w + l = 120

From the above equation, we can calculate the l of the rectangle:

We have w = 10 feet

l = 100 feet

Area = 10×100 = 1000 square feet

When w = 30

l = 60 feet

Area = 60×30 = 1800 square feet

When w = 40

l = 40 feet

Area = 40×40 = 1600 square feet

Thus, the values of length are 100, 60, and 40 feet respectively, area of the rectangle 1000 square feet, 1800 square feet, and 1600 square feet respectively.

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Answer:

no solution

Step-by-step explanation:

6x + 33 = 6x + 36

33 ≠ 36

Answer:

no solutions

Step-by-step explanation:

6x + 33 = 6(x + 6) ← distribute parenthesis

6x + 33 = 6x + 36 ( subtract 33 from both sides )

6x = 6x + 3 ( subtract 6x from both sides )

0 = 3 ← not possible

This indicates the equation has no solution

]

Answer:

62, since positive doesn't change to negative.

Answer:

By multiplying -2 by 5 you get:

Step-by-step explanation:

- 10

Answer:

14.

Step-by-step explanation:

42 = 2 8 3 * 7

Largest prime factor = 7

28 = 2 * 2 * 7

Smallest prime factor = 2

Answer = 2*7 = 14.