What is the volume of the sphere? Around you answer to the nearest whole number.

Answer:5 3/20

Step-by-step explanation:

6 8/20 0- 1 5/20= 5 3/20

Answer: C=5

Hope this helps!

Answer:

1. If x and y are supplementary angles, then y is sometimes acute because supplementary angles are angles that add up to 180 degrees. So, y can be acute while x can be obtuse, y can be obtuse while x can be acute, or both can be right angles.

2. If x and y are complementary angles, then x is never obtuse. Complementary angles are angles that add up to 90 degrees, and obtuse angles are angles over 90 degrees, so it's impossible to have an obtuse angle as a complementary angle.  

Step-by-step explanation:

Answer:

1) Sometimes

2) Never

Step-by-step explanation:

1) you could have two angles add up to 180 degrees and one of them could be less than 90

example, x = 140° and y = 40°

2) if two angles are complementary then their sum is 90° so neither angle must be less than 90°, thereby making them both acute angles

Answer:

Fahad is taller with 31 centimeters

Step-by-step explanation:

1090mm=109cm

Fahad is taller than Fareed by 31 centimeters.

1090 mm = 109 cm

140 cm - 109 cm = 31 cm

Hope this helps; please mark brainliest!

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Answer:

setup below, you'll have to do the final calculation

Step-by-step explanation:

first perform the operation in parenthesis

2+39= 41

then do the multiplication 3 x 41

in general do calculations in this order

1. Parenthesis

2. Multiplication

3. Division

4. Addition

5. Subtraction

working from left to right

Answer:

$250....................

Answer: 17 pounds

Step-by-step explanation:

Answer: Pythagorean theroem

Step-by-step explanation:

The easiest method to use in terms of a missing side as long as you know at least two other variables whether its another side or angle

Answer:the correct answer is C

Step-by-step explanation:

Answer:

c is the right answer

Step-by-step explanation:

Answer:

stocks, bonds, mutual funds, and collectables

Step-by-step explanation:

Answer:

its D, y= sin(7.59x)

Step-by-step explanation:

just took the quiz on edge

Answer:

B = 49.1°

C = 93.9°

c = 77.9

Step-by-step explanation:

Given:

a = 47, b = 59, and A = 37°

Required:

B, C, and c

Solution:

✔️To find B, apply the law of sines:

[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{sin(37)}{47} = \frac{sin(B)}{59} [/tex]

Cross multiply

[tex] 47*sin(B) = sin(37)*59 [/tex]

Divide both sides by 47

[tex] \frac{47*sin(B)}{47} = \frac{sin(37)*59}{47} [/tex]

[tex] sin(B) = 0.7555 [/tex]

[tex] B = sin^{-1}(0.7555) [/tex]

[tex] B = sin^{-1}(0.7555) [/tex]

B = 49.0690779° ≈ 49.1° (nearest tenth)

✔️C = 180° - (A + B) (sum of triangle)

C = 180° - (37° + 49.1°)

C = 93.9°

✔️To find c, apply the law of sines:

[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]

Plug in the values

[tex] \frac{sin(49.1)}{59} = \frac{sin(93.9)}{c} [/tex]

Cross multiply

[tex] c*sin(49.1) = sin(93.9)*59 [/tex]

Divide both sides by sin(49.1)

[tex] c = \frac{sin(93.9)*59}{sin(49.1)} [/tex]

c = 77.8766982

c ≈ 77.9 (nearest tenth)

Answer:

12 hope this help

Step-by-step explanation:

Answer:

(Choice A) A More rainfall relates to more mosquitoes, as long as rainfall is less than 2 cm²

Step-by-step explanation:

The given function for the number of mosquitoes, (by analysis of the options) is, g(x) = 4·x - x²

Where;

x = The amount of rainfall

g(x) = The number of mosquitoes in millions

The given function can be expressed as follows;

g(x) = 4·x - x² + 0

The maximum point is given by g'(x) = d(4·x - x²)/dx = 4 - 2·x = 0

At the maximum (turning point), we have;

4 - 2·x = 0

4 = 2·x

x = 4/2 = 2

The level of rainfall that gives the maximum number of mosquitoes is, x = 2 cm²

The number of mosquitoes increases from zero rainfall up to the maximum number of 4 million mosquitoes at 2 cm² rainfall and then decreases to zero as the rainfall increases further more than 2 cm², as shown in the attached  graph of the function g(x) that models the number of mosquitoes created with MS Excel

Therefore, the true statement is (Choice A) more rainfall relates to more mosquitoes, as long as (the level of) rainfall is less than (the maximum) 2 cm².

Answer:

1293 soccer books

Step-by-step explanation:

The tricky part about questions like this is: how do I assign variables to the three types of book?

You get a clue from the sentence, "She sold 3 times as many copies of the soccer book as the baseball book."  The number of soccer books is being described by referring TO the number of baseball books.  Pick a variable and assign it to the item being REFERRED TO!

x = number of baseball books

Then  3x = number of soccer books.  The number of basketball books is the same, so 3x = number of basketball books.  Here's the list...

x = number of baseball books

3x = number of soccer books

3x = number of basketball books

The total of these is 3017, so

x + 3x + 3x = 3017

7x = 3017

x = 431

Ah!  But don't forget to look back at the question:  it asks for the number of SOCCER books!  That's 3x, so 3(431) = 1293.

Answer:

y = 12

Step-by-step explanation:

y = kx

-4 = k * 2

k = -4/2 = -2

y = -2x

y = -2 * (-6)

y = 12

Answer:

Step-by-step explanation:

Area of triangle with angle of 30°:

[tex]A_1=\frac12\cdot 5^2\cdot\sin(30^o)=\dfrac{25}4=6.25[/tex]

Area of triangle with angle of 50°:

[tex]A_2=\frac12\cdot 5^2\cdot\sin(50^o)=\dfrac{25}2\cdot0.766=9.575[/tex]

Area of the rest of the figure:

[tex]A_3=\dfrac{(360-30-50)^o}{360^o}\cdot\pi\cdot5^2=\dfrac79\cdot\pi\cdot25 =61.087[/tex]

Therefore:

                  [tex]A=A_1+A_2+A_3=6.25+9.575+61.087=76.912[/tex]

Answer:

66 ft^2

Step-by-step explanation:

2 x 3 = 6

5 x 12 = 60

6 + 60 = 66

Answer:

A=A1 + A2

A= (l×w) + (l×w)

A= ((12-3)×5) + (3×(5+2))

A=66 ft^2

Answer:

x-intercept: -4

y-intercept: 24/5

Step-by-step explanation:

Firstly you have to isolate the y:

-6x + 5y = 24

5y = 6x + 24

y = (6x +24)/5

Now, just think about the graph: when the function touch the x-axis, the value of y is equal to 0, and when the function touch the y-axis, the value of x is 0, so just put they in the function:

y = (6•0 + 24)/5

y = 24/5

0 = (6x + 24)/5

5•0 = 6x +24

0 = 6x +24

-6x = 24

x = 24/-6

x = -4

Answer:

x = 4i - 1 or

x = 4i + 1

Step-by-step explanation:

(x+1)^2 = -4

x+1 = (+-)4i

x = +-4i - 1

==>

x = 4i - 1 or

x = 4i + 1

Answer:

38.7

Step-by-step explanation:

For this one we have the oppsoite and the hypotonouse

therefore we'll use SOH

let x= theta/the angle

sin(x)=7/11.2

x=38.68

38.7

Answer:

The distance from the base of the building to the base of the ladder is 13.56 feet.

Step-by-step explanation:

This can be solved using Pythagorus theorem.

If the length of the ladder is taken as the hypotenuse and the distance from the building as the base of the triangle then the altitude can be found out by using

c²= a²+b²

Where c is the hypotenuse and b is the base and a is the altitude

Putting the values

25²= a²+ 21²

a²= 25²-21²

a²= 625-441

a²= 184

a= √184= 13.56 feet

The distance from the base of the building to the base of the ladder is 13.56 feet

Answer:

I think 12 * 12/ 60 = ?

12*12= 144

144/ 60= ?

Answer:

360°

Step-by-step explanation:

I think

1/2 base ×height

1/2×60×12

30×12

=360

Answer:

t + 25 = 26

t = 26 - 25

t = 1

I hope it's helps you

Answer:

[tex] \frac{9i}{(9 - r)i} = 3024 \\ (9 - r)i = 9i \div 3024 = 362880 \div 3024 = 120 = \\ = 1 \times 2 \times 3 \times 4 \times 5 = 5i \\ r = 4[/tex]

Answer:

1) 2 nonreal complex roots

2) 1 Real Solution

3) 16

4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)

Step-by-step explanation:

1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0

We get;

y = a·x² + b·x + c

At y = 6, x = -2

Therefore;

6 = a·(-2)² - 2·b + c = 4·a - 2·b + c

6 = 4·a - 2·b + c...(1)

At y = 8, x = 0

8 = a·(0)² + b·0 + c

∴ c = 8...(2)

Similarly, we have;

At y = 8, x = -4

8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8

16·a - 4·b = 0

∴ b = 16·a/4 = 4·a

b = 4·a...(3)

From equation (1), (2) and (3), we have;

6 = 4·a - 2·b + c

∴ 6 = b - 2·b + 8 = -b + 8

6 - 8 = -b

∴ -b = -2

b = 2

b = 4·a

∴ a = b/4 = 2/4 = 1/2

The equation is therefor;

y = (1/2)·x² + 2·x + 8

Solving we get;

x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))

x =( -2 ± √(-12))/1 = -2 ± √(-12)

Therefore, we have;

2 nonreal complex roots

2) Give that the graph of the function touches the x-axis once, we have;

1 Real Solution

3) The given function is f(x) = 2·x² + 8·x + 6

The general form of the quadratic function is f(x) = a·x² + b·x + c

Comparing, we have;

a = 2, b = 8, c = 6

The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;

D = 8² - 4 × 2 × 6 = 16

The discriminant of the function, D = 16

4.) The given function is g(x) = (-2/5)·(x - 4)² + 6

The parent function of a quadratic equation is y = x²

A vertical translation is given by the following equation;

y = f(x) + b

A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)

A vertical reflection is given by an equation of the form; y = -f(x) = -x²

A narrowing is given by an equation of the form; y = b·f(x), where b < 1

Therefore, the transformations of g(x) from the parent function are;

g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.