Identify the angle of depression.

Answer:

55%

Step-by-step explanation:

(33/60) * 100

leave a comment if u need further explanation

The volume of the cylinder that is not occupied by the sphere is 2πr³/3

Since the object is a sphere in a cylinder, we need to know the volume of sphere and cylinder.

The volume of a cylinder is given by V '= πr²h where

Since the height of the cylinder equals the diameter of the sphere, h = 2r

So, V' = πr²h

V' = πr² × 2r

V' = 2πr³

The volume of a sphere of radius r is given by V = 4πr³/3

The volume of the cylinder not occupied by the sphere is V" = V' - V

=  2πr³ - 4πr³/3

= (6πr³ - 4πr³)/3

= 2πr³/3

So, the volume of the cylinder that is not occupied by the sphere is 2πr³/3

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Using proportions, considering the amount she received from each person, it is found that Annie had 30 sweets originally.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that:

The final amount was of 63, hence:

1.4 x 1.5 x n = 63

n = 63/(1.4 x 1.5)

n = 30.

Annie had 30 sweets originally.

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Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The value of x is 110 more than the value of y.

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The ∠AOB and ∠COD will be equal to each other because the two angle are vertically opposite angles. Therefore, we can write,

∠COD = ∠AOB

x + 2y = 50

x = 50 - 2y

Since angle ∠BOC and ∠COD are on the same line, the sum of this two angle will be equal to 180°. Therefore,

∠BOC + ∠COD = 180°

x - 2y + x + 2y = 180

2x = 180°

x = 90°

Substitue the value of x,

x + 2y = 50

90 + 2y = 50

2y = -40

y = -20

The difference in the value of x and y is,

Difference = 90 - (-20) = 110

Hence, the value of x is 110 more than the value of y.

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Answer:

9

Step-by-step explanation:

Answer:

4 large folders     ( and 8 small folders....with $ 1 left over)

Step-by-step explanation:

x = small    y = large folders

x+y >= 12      x >= 12-y

3x + 5y <= 45

3 (12-y) + 5y <=45

36 -3y + 5y <= 45

    y <= 4.5               you cannot buy .5 of a large folder, so 4 large folders

Answer:

91

Step-by-step explanation:

4 x 91 = 364

To work this out, we must do the inverse operation. The inverse (opposite) of x (times or multiply) is ÷ (divide).

So, we do 364 ÷ 4 = 91

Hope this helps!

- profparis

The third term, fourth term and tenth term are -1, -3, -15 respectively.

A sequence is a pattern of numbers in which successive terms differ by an constant term called the common difference or ratio.

Analysis:

For a sequence defined by the rule A(n) = 3 + (n-1)(-2)

Third term, n = 3

A(3) = 3 + (3-1)(-2) = -1

Fourth term, n = 4

A(4) = 3 + (4-1)(-2) = -3

Tenth term, n = 10

A(10) = 3 + (10-1)(-2) = -15

In conclusion, the third, fourth, tenth terms are -1, -3 and -15 respectively.

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Answer:

it's 8

Step-by-step explanation:

the lil hand is on the 8 and the big hand is on the 12

Answer:

The time is 8:00  but with out a question im not sure what your asking

Step-by-step explanation:

Answer:

Step-by-step explanation:

Limits exist for:

[tex]\lim_{x \to4 \4} \frac{x^2 -x-12}{4-x}[/tex] = [tex]\frac{(x-4)(x+3)}{4-x}[/tex] = ( - 1 )( x + 3 ) = - 7

[tex]\lim_{x \to \ 2} \frac{x^2 +2x-8}{2-x}[/tex] = [tex]\frac{(x+4)(x-2)}{2-x}[/tex] = ( - 1 )( x + 4 ) = - 6

[tex]\lim_{x \to2 } \frac{x^2 +3x - 10}{x^2 -4}[/tex] = [tex]\frac{(x+5)(x-2)}{(x+2)(x-2)}[/tex] = [tex]\frac{x+5}{x+2}[/tex] = [tex]\frac{7}{4}[/tex]

Answer:

it’s b

Step-by-step explanation:

the answer is 2x3x3x5, but it’s the same thing when you put an exponent of two on a 3.

Hope it helps

Sry if I’m wrong

Answer:

x= 27.5

Step-by-step explanation:

Answer:

white chocolates = 3

milk chocolates = 8

ratio= 3:8

[tex] \frac{3}{8} [/tex]

0.375

The equation of the line with Slope = −6 and passing through (-5,−9) is y +9 = -6(x+5)

The equation of a line in pint slope form is expressed as:

y - y1 = m(x-x1)

where

m is the slope = -6

(x1, y1)  is the point = (-5, -9 )

Substitute into the formula

y - (-9) = -6(x -(-5))

y +9 = -6(x+5)

Hence the equation of the line with Slope = −6 and passing through (-5,−9) is y +9 = -6(x+5)

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The error Kevin made was in step 2 when he added before he multiplied.

This question would be solved using the BODMAS rule. The BODMAS rule provides the order in which mathematical problems should be solved. The order is:

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Answer:

h(x) = 1/4 x

Step-by-step explanation:

h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x. Summary: The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.

Answer: D.

Step-by-step explanation:

x + 3 > 2       Original equation

x > -1             Subtract 3 on both sides

Number line that has an open circle and on -1 that goes right = D.

Answer:

59 degrees

Step-by-step explanation:

Angles on a straight line add up to 180 degrees

Angles in a triangle add up to 280 degrees

180 minus 149 is 31

31 add 90 is 121

180 minus 121 is 59

The absolute value functions that contains the points are:

Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.

To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.

For example, for the first equation:

The other option that also contains these 3 points is:

f(x) = |-x| + 2

And all the other options can be trivially discarded (by evaluating them).

So the two correct options are:

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The recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50

The sequence is given as:

50,−10,2,....

The above sequence is a geometric sequence, and it has the following parameters:

This means that the product of the current term and -1/5 gives the next term.

i.e.

[tex]a_n = -\frac{a_{n-1} }{5}[/tex]

Hence, the recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50

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Answer:

Step-by-step explanation:

Similar = proportional

solve with an equation

12 : 9 = 4 : x

x = 4 * 9 : 12

x = 3

Answer: The slope is 1/3

Step-by-step explanation:

m = y2-y1/x2-x1

m =9-7/4+2

m=2/6

m=1/3

Answer:

The slope is 1/3

Step-by-step explanation:

m=y2-y1/x2-x1

m=9-7/4-(-2)

m=2/6

m=1/3

Answer:

3,1

....................................

The error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

Tan(θ) = Perpendicular/Base

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Given the uppermost portion of a that is 3.0m long stadia rod is inclined 14 cm toward the observer, therefore, the angle of inclination, θ can be written as

tan(θ)=0.14/3

θ = 2.672°

Also, the rod intercept is 1.75m, therefore, t the error in distance in the distance is,

tanθ=x/1.75

x = 1.75 tan(θ)

x = 1.75 × tan(2.672°)

x = 0.08167 m = 8.167 cm

Hence, the error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.

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Answer:

do the calculation below

Step-by-step explanation:

(4/52 ) *(3/51)

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Ann and Bob's age is 21 years  and 28 years respectively and after 14 years the ratio will be 5:6.

What is Ratio ?

The comparison of one quantity to other is called a ratio and when two ratios are equal they are said to be in proportion.

It is given in the question that

The ratio of Ann's age to bob's age is 3:4

in 7 years time this ratio will be 4:5

their ages now = ?

Let the age of Ann and Bob is x and y

x:y = 3:4

x =(3/4)y

After seven years

(x+7):(y+7) = 4 :5

(x+7)/(y+7) = 4/5

((3/4)y +7)/(y+7) = 4/5

(3y +28)/(y+7) = 16/5

5*(3y+28)= 16(y+7)

15y +140 = 16y+112

y = 140-112

y =28 years

x = 21 years.

After x years suppose the ratio is 5 :6

(21+x)/(28+x) = 5:6

126 +6x = 140 + 5x

x = 14 years.

Therefore after 14 years the ratio will be 5:6.

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The value of z if x = 36 and y = 6 is 42

Suppose that y varies directly with x and inversely with z, hence the required expression will be:

y = kx/z

If  y = 4 when x = 8 and z = 14 then;

4 = k(8)/14

8k = 56

k = 7

To  find z when x = 36 and y = 6, we  will have:

6 = 7(36)/z
1 = 7(6)/z

z = 42

Hence the value of z if x = 36 and y = 6 is 42

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Answer:

Keep it simple. Answer:

y=kx/z

  k=7

 z=42

Step-by-step explanation:

Answer:

Ans : A. Straight angle

Step-by-step explanation:

Brainliest me pls

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Brain

Answer:

Step-by-step explanation:

1/2b + 2 ≤ 8

b ≤ 12

Answer:

Step-by-step explanation: