i need help in this assignment

Answer:

19.0 in

Step-by-step explanation:

From the question given above, the following data were:

Volume (V) of sphere = 28526 in³

Pi (π) = 3.14

Radius (r) =?

The radius of the sphere can be obtained as follow:

V = 4/3 πr³

28526 = 4/3 × 3.14 r³

28526 = 12.56r³ / 3

Cross multiply

12.56r³ = 28526 × 3

12.56r³ = 85578

Divide both side by 12.56

r³ = 85578 / 12.56

Take the cube root of both side

r = ³√(85578 / 12.56)

r = 19.0 in

Thus, the radius of the sphere is 19.0 in

Answer:

opposite of each other

Hope this helps!

Answer:

$168,500,000

Step-by-step explanation:

Given that :

Total amount spent on both scanner and video digitizer research and development = $242,000,000

Let :

amount spent on scanner = x

Amount spent on video digitizer = y

Total amount spent, c = x + y

x = y + 95,000,000

Hence,

242000000 = y + 95,000,000 + y

242000000 - 95000000 = 2y

147,000,000 = 2y

y = $73,500,000

Hence, amount spent on scanners :

$73,500,000 + $95,000,000

= $168,500,000

Answer:

The absolute change in the height of the water is 9.5 inches

Step-by-step explanation:

Given

[tex]l =24in[/tex] --- length

[tex]w = 15in[/tex] --- width

[tex]h =12in[/tex] --- height

[tex]V_1 = 900in^3[/tex] --- the volume removed

Required

The absolute change in the height of the water

First, calculate the base area (b):

[tex]b = l * w[/tex]

[tex]b =24in * 15in[/tex]

[tex]b =360in^2[/tex]

The height of the water that was removed is:

[tex]H = \frac{V_1}{b}[/tex] i.e. the volume of the water removed divided by the base area

[tex]H = \frac{900in^3}{360in^2}[/tex]

[tex]H = \frac{900in}{360}[/tex]

[tex]H = 2.5in[/tex]

The absolute change in height is:

[tex]\triangle H = |h - H|[/tex]

[tex]\triangle H = |12in - 2.5in|[/tex]

[tex]\triangle H = |9.5in|[/tex]

[tex]\triangle H = 9.5in[/tex]

Answer: B.

Step-by-step explanation:

Data: Estimate of 7.21x3.86/10.09=x

Only step, Find the estimate for each number(7.21=7, 3.86=4, 10.09=10)

Explanation: How estimation work is that it numbers below 5 stays the same and numbers 5 and above round up so a number like 7.21 which has 2 and 1 as it's rounding numbers will stay the same however a number like 3.86 which has 8 and 6 as it's rounding numbers will round up

That's how we arrive at the answer of B.

I hope this helps(Mark brainliest if you'd like)

Answer:

a) 9:11 am

b) 77°F

Step-by-step explanation:

a) From the clock shown in the image attached, we can see that the time that the sprinkler system is switched off is at 11:56 am. Since the strawberries are watered for a total of 2 hours and 45 minutes every day, the time that the sprinkler is switched on can be gotten by subtracting 2 hours 45 minutes from 11:56 am. Hence:

Time sprinkler system is switched on = 11:56 am - 2 hours 45 minutes = 9:11 am

b) Temperature in °Farenheit = (1.8 * temperature in degree Celsius) + 32°

Temperature in °Farenheit = (1.8 * 25°) + 32° = 45° + 32°

Temperature in °Farenheit = 77°F

Answer:

0.16666666666 is the answer of two thirds take away one half.

Answer:

Step-by-step explanation:

20 houses

Answer:

20

Step-by-step explanation:

You would set it up as 8:5=32:x. Since you are multiplying the number of cars by 4, you should do the same with houses. This gives 32:20, meaning there are 20 houses on the block.

**You may want to revise multiplying and dividing with ratios. I'm always happy to help!

Answer: 7

Step-by-step explanation:

5+7+9=21

3 total numbers to start with so;

21/3=7

Answer:

3x^2

Step-by-step explanation:

Answer:

[tex]x=3\sqrt{7}[/tex]

Step-by-step explanation:

If a tangent and a secant connect to an exterior point of a circle, the tangent squared is equal to the product of the two segments the secant creates.

Therefore, we have:

[tex]x^2=7 \cdot 9,\\x^2=63,\\x=\sqrt{63}=\boxed{3\sqrt{7}}[/tex]

Answer:

49%

Step-by-step explanation:

Markup is the difference between the selling price and the cost divided by the cost times 100%

Cost = 40

Selling = 59.75

% = (59.75 - 40)/40 * 100%

% = (19.75 / 40) * 100%

% = 49%

Answer:

a)  (10×13) + 55 b) 185 Nu c)-75 or -205 (unsure of instruction)

Step-by-step explanation:

a) He spends 10 Nu a day for 13 days, meaning he has spent 10×13 Nu. He originally had this amount, plus the 55 he ends up with. This means he began with (10×13) + 55.

b) This can then be solved using BODMAS (or PEMDAS, whatever you call the order of operations).

We begin with the multiplication, which turns the expression to 130+55. We then move to addition, giving a final result of 185.

c) For this one, I'm not sure if it is if he did that from the beginning or from now, so I've done both.

If it's from the beginning, you would use 185-(20×13) to solve this. This gives 185-260, which solves to -75.

If it's from the point of 55 Nu, you would use 55-(20×13), which gives 55-260. This solves to -205.

**You may wish to revise writing integer expressions. I'm always happy to help!

Step-by-step explanation:

Decide on the number of classes.

Determine the range, i.e., the difference between the highest and lowest observations in the data.

Divide range by the number of classes to estimate approximate size of the interval

hope it helps.

Answer:

Step-by-step explanation:

you see 12=12 (side)

6=6 (side)

116°=116°(angle between sides)

now what can be the answer?

two sides and one angle equal

so SAS

Complete question is;

Which set of numbers is included as part of the solution set of the compound inequality

x < 6 or x > 10?

A) {–7, –1.7, 6.1, 10}

B) {–3, 4.5, 13.6, 19}

C) {0, 6, 9.8, 14}

D) {8.5, 9.1}

Answer:

B) {–3, 4.5, 13.6, 19}

Step-by-step explanation:

The given compound inequality x < 6 or x > 10 means that x must be less than 6 and greater than 10. And also that x cannot fall between 6 and 10.

Looking at the given options, the only set of values that fall into this compound inequality range is option B.

Answer:

0.76

or

-0.76

hope this helps

Answer:

f(g(x)) = x^2+4x+3

Step-by-step explanation:

f(x) = x^2 – 1

g(x) = x + 2

f(g(x))=g(x)^2-1=(x+2)^2-1=x^2+4x+4-1=x^2+4x+3

Answer:

333,333 Three hundred and thirty-three thousand , three hundred and thirty-three

Step-by-step explanation:

4000000/12

Answer:

3n - 3

Step-by-step explanation:

Answer:

3n-3

Step-by-step explanation:

n-1(1-n)-1 = n- 1 + n - 1 = 2n-2

1 - (2n-2) = 1 - 2n + 2

n - (1 - 2n + 2) = n - 1 + 2n -2 which equals 3n - 3

Answer:

it is in fact b :)

Answer:

It's B Just answered it.

Step-by-step explanation:

Answer:

[tex]\huge\boxed{c=17\ ft}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have:

[tex]leg=15ft\\leg=8ft\\hypotenuse=c[/tex]

Substitute:

[tex]c^2=15^2+8^2\\\\c^2=225+64\\\\c^2=289\to c=\sqrt{289}\to c=17(ft)[/tex]

The length of the leg is 9.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

From the triangle,

S = length of the leg.

Now,

Applying the Pythagorean theorem.

√18² = 3² + s²

18 = 9 + s²

s² = 18 - 9

s² = 9

s = 9

Thus,

The length of the leg is 9.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ7

Answer: [tex]\dfrac{4}{5}\ \text{ounces}\ \text{or}\ 0.8\ \text{ounces}[/tex]

Step-by-step explanation:

Given

There is 4 fluid ounces of red paint which needs to be shared among 5 students

So, division operation is needed to deduce the ounces of red paint each student will get

Each student get

[tex]\Rightarrow \dfrac{4}{5}\ \text{ounces}\ \text{or}\ 0.8\ \text{ounces}[/tex]

Answer:

C. 135

Step-by-step explanation:

The value of the expression when x = 5 is 135.To find the value of the expression when x = 5, substitute the value of x into the expression and perform the calculations:

Expression: [tex](2x^2 / x) + x(100 - 15x)[/tex]

Now, replace x with 5:

[tex](2 * 5^2 / 5) + 5(100 - 15 * 5)[/tex]

Calculate the values within the parentheses first:

[tex](2 * 25 / 5) + 5(100 - 75)[/tex]

Now, perform the arithmetic inside each set of parentheses:

[tex](50 / 5) + 5(25)\\50 / 5 = 10[/tex]

Now, continue:

10 + 5 * 25 = 10 + 125 = 135

So, the value of the expression when x = 5 is 135.

To know more about expression :

https://brainly.com/question/34132400

#SPJ2

well, first off let's notice something about angle "t", is between π and 3π/2, or namely the III Quadrant, where both "x" or adjacent side as well as "y" or opposite side are negative.

something else noteworthy is that, the hypotenuse is just a radius length and thus is never negative.

[tex]tan(t)=\cfrac{2}{3}\implies tan(t)=\cfrac{\stackrel{opposite}{-2}}{\underset{adjacent}{-3}}\qquad \textit{let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c =\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-3)^2+(-2)^2}\implies c = \sqrt{9+4}\implies c = \sqrt{13}[/tex]

[tex]\rule{34em}{0.25pt}\\\\ sec(t)=\cfrac{\stackrel{hypotenuse}{\sqrt{13}}}{\underset{adjacent}{-3}}~\hfill cos(t)=\cfrac{\stackrel{adjacent}{-3}}{\underset{hypotenuse}{\sqrt{13}}}\implies \cfrac{-3\cdot \sqrt{13}}{\sqrt{13}\cdot \sqrt{13}}\implies \cfrac{-3\sqrt{3}}{13}[/tex]

[tex]sin(t)=\cfrac{\stackrel{opposite}{-2}}{\underset{hypotenuse}{\sqrt{13}}}\implies \cfrac{-2\cdot \sqrt{13}}{\sqrt{13}\cdot \sqrt{13}}\implies \cfrac{-2\sqrt{13}}{13} \\\\\\ csc(t)=\cfrac{\stackrel{hypotenuse}{\sqrt{13}}}{\underset{opposite}{-2}}~\hfill cot=\cfrac{\stackrel{adjacent}{-3}}{\underset{opposite}{-2}}\implies \cfrac{3}{2}[/tex]

Answer:

The volume of the stones is 382 cube inches.

Step-by-step explanation:

The dimensions of the aquarium are;

length = 16 inches

width = 8 inches

height = 10 inches

The height of the water in the aquarium = 4 inches

i. Volume of the water in the aquarium = length x width x height

                               = 16 x 8 x 4

                               = 512 cube inches

The volume of water in the aquarium is 512 cube inches.

ii. The new height of water = 7 inches.

New volume of water = 16 x 8 x 7

                                  = 896 cube inches

The new volume of water is 869 cube inches.

The volume of the stones = New volume of water - initial volume of water

                                  = 869 - 512

                                  = 384 cube inches

The volume of the stones is 382 cube inches.