Instructions: Problem 3 ! Find the missing angle in the image below. Do not include spaces in your answers

Step-by-step explanation:

S.A = 465

4πr²= 465

r². = 36.9

r. = 6.08

volume of a sphere = 4/3πr³

= 4/3π * 6.08³

= 941.8 cm³

The radius of the sphere will be 6.08 units. Then the volume of the sphere will be 942.87 cubic units.

A circular solid object or its surface whose points are all equally spaced from the center.

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The surface area of the sphere will be 465 square units.

The surface area of the sphere is given as,

SA = 4πr²

Then the radius of the sphere will be

4πr² = 465

   r² = 37

    r = 6.08 units

Then the volume of the sphere will be

V = 4/3 π (6.08)³

V = 4/3 π x 225.09

V = 300 π

V = 942.87 cubic units

Thus, the volume of the sphere will be 942.87 cubic units.

More about the volume of the sphere link is given below.

https://brainly.com/question/9994313

#SPJ5

Answer:

2.5 * 10⁷

Step-by-step explanation:

Answer:

25,000,000

Step-by-step explanation:

Answer:

52 in^2

Hope this helps!

Answer:

3b

Step-by-step explanation:

[tex]\dfrac{24a^2b^4c^3}{8a^2b^3\sqrt[3]{c^9}} =[/tex]

[tex] = 3a^{2 - 2}b^{4 - 3} \times \dfrac{c^3}{c^\frac{9}{3}} [/tex]

[tex] = 3a^{0}b^{1} \times \dfrac{c^3}{c^3} [/tex]

[tex] = 3bc^{3-3} [/tex]

[tex] = 3bc^{0} [/tex]

[tex] = 3b [/tex]

Answer:

The plotting are correct .

HOPE IT HELPED!!

Answer:

Answer:[tex]13c = 65 \ \ c = \frac{65}{13} \ \ c = 5[/tex]  More

Answer:

(a) By cosine rule, /PQ/2=202+152−2×20×15×cos145°

= 400+225−600cos145°

= 625+600×0.8192

= 491.52+625

/PQ/2=1116.52⟹/PQ/=1116.52−−−−−−√=33.41

≊33km ( to the nearest whole number)

(b) By sine rule,

sin<QPR15=sin14533.41

sin<QPR=15sin14533.41

sin<QPR=15×0.573633.41=0.2575

<QPR=14.92°

∴ Bearing of Q from P = 25° + 14.92° = 39.92°.

≊40° (to nearest whole number)

Step-by-step explanation:

hope it helps

...

1cm = 2m

=> 1cm = 200cm

2.5cm = 2.5 × 200cm = 500 cm = 5m

So, the length of window is 500cm or 5m.

Answer:

8 Times, Mark would expect to roll a one 'Eight times'

Answer:

the smaller number is 15 and the larger number is 35

Step-by-step explanation:

x+y=50

x=smaller number y=larger number

y=x+20

x+(x+20)=50

2x+20=50

2x=30

x=15

smaller number=15

larger number= 15+20=35

Answer:

Smaller: 15

Larger: 35

Step-by-step explanation:

Larger: y

Smaller: x

[tex]x+y=50[/tex]

[tex]y=20+x[/tex]

[tex]x+20+x=50\\2x=50-20\\2x=30\\x=15[/tex]

[tex]15+y=50\\y=50-15\\y=35[/tex]

x=15; y=35

Hope this helped! Please mark brainliest :)

Answer:

h(x) = -4 x –7

h(3) = -4(3) —7

h(3) = –12 –7

h(3) = – 19

Answer:

your y-intercept is 5 and your slope is 1 hope this helps with translating into the form you want

Step-by-step explanation:

Answer:

15.4 (rounded to 1dp)

Step-by-step explanation:

Answer:

c: y=(x-1)(x-3)

Step-by-step explanation:

Answer:

5b: 3c = 25 : 16

Step-by-step explanation:

[tex] \frac{a}{b} = \frac{4}{5} \: and \: \frac{a}{c} = \frac{3}{4}[/tex]

dividing both to get a : c

[tex] \frac{a}{b} \times \frac{c}{a} = \frac{4}{5} \times \frac{4}{3} \\ \frac{c}{b} = \frac{16}{15} \\ [/tex]

inverting the fractions

[tex] \frac{b}{c} = \frac{15}{16} [/tex]

multiplying the numerator by 5 and denominator by 3

[tex] \frac{5b}{3c} = \frac{5 \times 15}{3 \times 16} \\ = \frac{75}{48} \\ = \frac{25}{16} [/tex]

therefore,

5b: 3c = 25 : 16

Answer: B

Step-by-step explanation:

multiply all the the sales by 11% and you will get the answers in option b

ex: 1300*0.11=143

Answer:

1 to 7 days

Step-by-step explanation:

Answer:

Step-by-step explanation:

A negative linear association between x and y means that as x increases, y decreases at the same rate, creating a line with a negative slope. This line will tend from upper left to lower right. 2 of those graphs tend from upper left to lower right, but only one of them is a linear representation. That is graph D.

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{5g + 9 + 8g + 4}\\\\\huge\textsf{COMBINE the LIKE TERMS}\\\\\large\textsf{5g + 8g + 9 + 4}\\\\\large\textsf{5g + 8g = \bf 13g}\\\\\large\textsf{9 + 4 = \bf 13}\\\\\boxed{\huge\textsf{= 13g + 13}}\large\checkmark\\\\\\\\\\\\\boxed{\boxed{\huge\textsf{Answer: \bf 13g + 13}}}\huge\checkmark\\\\\\\\\\\\\\\\\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]

the answer is 1024 because 7²+25²=b²

factor out the square which gives you

(7+25)²=b²

32²=b²

squaring 32 gives 1024

Answer:

24 units

Step-by-step explanation:

i just took the quiz

Answer: 9.558, 9.58, 9.592, 9.62, 9.691, 9.7

Step-by-step explanation:

Answer:

9.7 9.58 9.62 9.558 9.592 9.691

d

Step-by-step explanation:

6-2=n will be used because when 2 goes to other side then positive sign turns to negative sign

Answer:

This isn't the answer but if you can take a pic of this and put it in this app called "Math-way" or "Photo-math" those help me

Answer:

1) 1 ≥ 2·x

2) 6·x ≥ 3 + 8·x - 4

3) 1/2 ≥ x The third option and the first number line inequality diagram, please see attached drawing of the number line created with MS Visio

Step-by-step explanation:

The given inequality is presented as follows;

6·x ≥ 3 + 4·(2·x - 1)

By expanding the right hand side of the inequality, we get;

6·x ≥ 3 + 8·x - 4

4 - 3 = 1 ≥ 8·x - 6·x = 2·x

∴ 1 ≥ 2·x

1/2 ≥ x

Therefore, the correct options are;

1) 1 ≥ 2·x

2) 6·x ≥ 3 + 8·x - 4

3) 1/2 ≥ x The third option and the first number line inequality diagram

Answer:

There are 39 seats I think.

Step-by-step explanation:

548 divided by 14 is a decimal but rounded it to the nearest full number.

Answer:

Hope it helps

Step-by-step explanation:

Answer:

The given function for the profit of the company  is p(x) = x² + 3

The function for the cos of the company, c(x) = -3·x + 24

Where;

x = The number of cartons sold

A. To find the solution of the system means to find the number of cartons sold at which the profit and cost are equal

B. The solution of the system can be found by equating both functions as follows;

p(x) = c(x)

Therefore;

x² + 3 = -3·x + 24

∴ x² + 3 + 3·x - 24 = 0

x² + 3·x - 21 = 0

x = (-3 ± √(3² - 4×1×(-21)))/(2 × 1)

∴ x = (-3 ± √(93))/2

x = (-3 + √(93))/2 ≈ 3.32 or x = (-3 - √(93))/2 ≈ -6.32

Therefore, the possible solution is x = (-3 + √(93))/2 ≈ 3.32

C. The solution means that when the company sells about 3 cartons of specialty ice, the cost to make the carton and the profit from selling the cartons will be approximately equal

D. Part 1

To solve the system, we rewrite the functions using common variables, to obtain a consistent system of equations

Part 2 Inconsistent system of equations

When x does not stand for the same thing in both equations, we have an inconsistent system of equations and there are no solutions

Step-by-step explanation: