Which angle corresponds to < 8?​

Answer:

h = 9x

Step-by-step explanation:

Given: i. for the cylinder, base radius = 2x cm, height = h cm

           ii. for the sphere, radius = 3x cm

           iii.  volume of the cylinder = volume of the sphere

volume of a cylinder is given as;

volume = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h

where: r is its base radius and h the height

volume of the given cylinder = [tex]\frac{1}{3}[/tex][tex]\pi[/tex] x [tex](2x)^{2}[/tex] x h

                                              = [tex]\frac{1}{3}[/tex][tex]\pi[/tex] x 4[tex]x^{2}[/tex] x h

                                              = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex] h

volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

where r is the radius.

volume of the given sphere =  [tex]\frac{4}{3}[/tex][tex]\pi[/tex] x [tex](3x)^{3}[/tex]

                                         =  [tex]\frac{4}{3}[/tex][tex]\pi[/tex] x 9 [tex]x^{3}[/tex]

                                         = 12[tex]\pi[/tex][tex]x^{3}[/tex]

Since,

volume of the cylinder = volume of the sphere

Then we have;

[tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex] h = 12[tex]\pi[/tex][tex]x^{3}[/tex]

4[tex]\pi[/tex][tex]x^{2}[/tex] h = 36[tex]\pi[/tex][tex]x^{3}[/tex]

subtract [tex]x^{2}[/tex] from both sides

4[tex]\pi[/tex]h = 36[tex]\pi[/tex]x

divide both sides by 4[tex]\pi[/tex]

h = [tex]\frac{36\pi x}{4\pi }[/tex]

  = 9x

h = 9x

Answer: 3550

Step-by-step explanation:

1.6L equals 1600mL

8700-1600=7100 remaining

7100 divided by 2 = 3550

Answer:

Boris will have $250 in 10 months.

Step-by-step explanation:

$25 = one month.

$250= ?months

To find ?, the months we divide 250 by 25 to get this:

250 ÷ 25 = 10

10 months is the amount of time Boris will have to wait until he saves up $250.

Hope this helps you! Good luck with your quiz! :)

Answer: 80

Step-by-step explanation: established

Answer:

Multiple 5 time 8 times 11 which is 440

Step-by-step explanation:

I took the same test

Answer:

440

Step-by-step explanation:

I took the test.

Answer:

x = 2.857 [rounded]

Step-by-step explanation:

17 x 2 = 34.

Next, we combine.

34 - 14 = 20.

Lastly, we divide 20 by 7.

20 / 7 = 2.857

[The answer is a decimal that doesn't end, but I rounded it for simplicity.]

Answer: D and F

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope is always rise over run.

"rise" up -1 or down in this situation because it is a negative

then 'run' or move to the right 2 places on the x-axis

Answer:

The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent.

Step-by-step explanation:

Answer:

Current speed is 40mph

Step-by-step explanation:

We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.

Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.

In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have

Speed upstream = 8/t

Speed downstream = 24/t

Respectively.

Let speed of current be X, then

Speed downstream = 40 + X

Speed upstream = 40 – X

From the question we have:

(40 + x)/24 = (40 – X)/8

(40 + x)/3 = (40 – x)/1

3(40 – x) = 40 + X

120 – 3x = 40 – X

120 – 40 = 3x – X

2x = 80

X = 40.

Therefore, current speed is 40mph

Answer:

30 points

Step-by-step explanation:

Answer:

4 Quarters. 10 dimes. 20 nickels. 100 pennies.

Step-by-step explanation:

I hope this helps! Please give me brainliest!

Answer:

a squared+ 5a

Step-by-step explanation:

a(a+5)

multiply everything inside the bracket

a times a is a squared

a times 5 is 5a

i hope i helped

please give me a brainliest!!<3

Answer:

x=2

Step-by-step explanation:

Given: 3ln2 +ln8=2ln(4x)

          ⇒ln [tex]2^{3}[/tex]+ln8=2ln(4x)            ( m ln (n)= ln([tex]n^{m}[/tex]))

             ⇒ ln8+ln8= 2ln(4x)

            ⇒ 2ln8= 2ln(4x)

   comparing both sides, we get

  8=4x

  ⇒x=2

Answer:

4/25 as a decimal is 0.16

Hope this helps!!!

Answer:

[tex]-6x+ 3.2[/tex]

Step-by-step explanation:

Given the expression

[tex]3x (1 -3) + 3.2[/tex]

step one: let us work on the terms inside the bracket

[tex]3x (-2) + 3.2[/tex]

Step two:

open the bracket

[tex]-6x+ 3.2[/tex]

Hence the simplified expression is

[tex]-6x+ 3.2[/tex]

Step-by-step explanation:

of course the answer is linear

Answer:

Amounts of first payment =  $369.60

Amounts of Second and third payment =  $277.20

Step-by-step explanation:

Given:

Annual premium = $924

First payment = 40%

Second payment = 30%

Third payment = 30%

Find:

Amounts of three payments

Computation:

Amounts of first payment = $924 x 40%

Amounts of first payment =  $369.60

Amounts of Second payment = $924 x 30%

Amounts of Second payment =  $277.20

Amounts of third payment = $924 x 30%

Amounts of third payment =  $277.20

Answer:

Question 3: 93    Question 4: -18

Step-by-step explanation:

Use Order of Operations (BEDMAS - Brackets Exponents Division Multiplication Addition and Subtraction).

Question 3:

Start with the numbers inside the brackets.

3^2 (4+6) + 3

= 3^2 (10) + 3

Then, solve the exponents.

= 9 (10) + 3

Multiply 9 and 10.

= 90 + 3

Add the numbers.

= 93

Question 4:

Again, start with the brackets.

3 (4+2) - 6^2

= 3 (6) - 6^2

Then, solve the exponent.

= 3 (6) - 36

Multiply 3 and 6.

= 18 - 36

Subtract the numbers.

= -18 (You can do 36 - 18 which is 18, then add the negative sign)

Answer:

$17.45

Step-by-step explanation:

$17.45*3=52.35

$52.35+$45.99=$98.34

Answer: the one is the middle is the d orrect answer i got this question last year too

Step-by-step explanation:

Answer:

A. The car has the fastest speed

Step-by-step explanation:

car=450/9=50

Bus= 510/12=42.5

Train=200/8=25

Therefore the car is the fastest

Answer:

0.875

Step-by-step explanation:

Answer:

65% are green

Step-by-step explanation:

13 is 65% of 20

Answer:

2), or 13

Step-by-step explanation:

x = 26/2  = 13

Answer:

13 is the the value of x.

Answer:

6 ballpoints pens is the better buy

Step-by-step explanation:

$4.80 x 6 = $28.80

$6.48 x 8 = $51.84

It's cheaper

Answer:

6.63

Step-by-step explanation:

This is the answer because 26.54 - 75 %

=6.63

Verified by FaZe DoDo

Answer:

root 50

Step-by-step explanation:

Pythagorean theorem d is the hypotenuse

Answer:

5/2

Step-by-step explanation:

/50 if you do a2+b2=c2 and c=d

Answer:

x < -12

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Equality Properties

Step-by-step explanation:

Step 1: Define

16 < -2(x + 4)

Step 2: Solve for x

Here we see that any number x smaller than -12 would work as a solution to the inequality.

Answer:

The surface area of the pyramid is 340.2 cm²

Step-by-step explanation:

We can find the surface area of this pyramid by adding up the area of its square base and the four side triangles.

We're told that the base has a side length of 9.0 cm, so we know that its area is (9.0cm)², or 81cm²

We are told that the height of the side triangles is 14.4 cm.  To find the area of a triangle, simply multiply its width times its height, and divide by two:

(14.4cm × 9cm) ÷ 2

= 129.6cm² ÷ 2

= 64.8 cm²

Now we can multiply that by 4, and add it to the base area to get the total surface area of the pyramid:

4 × 64.8cm² + 81cm²

= 259.2cm² + 81cm²

= 340.2cm²