You roll a 6-sided die two times.

What is the probability of rolling a number less than 4 and then rolling a number less than 47

Write your answer as a percentage.

a = 12, b = 3*sqrt(17)

========================================================

Work Shown:

3/a = a/48

3*48 = a^2

a^2 = 144

a = sqrt(144)

a = 12

--------------------

a^2 + 3^2 = b^2 ... pythagorean theorem

12^2 + 3^2 = b^2

144 + 9 = b^2

b^2 = 153

b = sqrt(153)

b = sqrt(9*17)

b = sqrt(9)*sqrt(17)

b = 3*sqrt(17)

Check the picture below.

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{9}}{\underset{hypotenuse}{15}}~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{12}}{\underset{hypotenuse}{15}}~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{9}}{\underset{adjacent}{12}} \\\\\\ cot(\theta )=\cfrac{\stackrel{adjacent}{12}}{\underset{opposite}{9}}~\hfill sec(\theta )=\cfrac{\stackrel{hypotenuse}{15}}{\underset{adjacent}{12}}~\hfill csc(\theta )=\cfrac{\stackrel{hypotenuse}{15}}{\underset{opposite}{9}}[/tex]

Answer:

22°

Step-by-step explanation:

The square in the corner indicates that this is a right angle = 90° and the line separates this into two angles, x and 68°

x + 68 = 90

x = 22°

Hope this helps!

The surface area of the larger sphere with a volume of 64π cm³ comes to be 16π∛36 cm³.

The volume of the larger sphere = 64π cm³

Suppose the radius of the larger sphere is r

So, 4/3*π*r³ =64π

r³=48

r=2∛6

The surface area of a sphere is 4πr² where r is the radius.

So, the surface area of the larger sphere = 4π(2∛6)²

The surface area of the larger sphere = 16π∛36

Hence, The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

To get more about spheres visit:

brainly.com/question/10171109

Answer:

Solve for 's' using inverse operations;

4s + 3 = 9

Get rid of constants first.

By doing this, we subtract 3 from both sides because the inverse operation of addition is subtraction.

-3           -3

4s = 6

Isolate 's' by dividing 4 from both sides because the inverse operation of multiplication is division.

÷ 4 ÷ 4

s = 6/4 which equals 1.5 therefore the value of 's' to make this equation true is 1.5.

Answer:

x = 93

Step-by-step explanation:

angles in the f shape on 2 parallel lines are equal

Answer:

x = 93⁰

Step-by-step explanation:

This is an example of corresponding angles (corresponding angles are equal). If you search corresponding angles online there are indepth algebraic explanations as to why corresponding angles are equal. In order to be corresponding, they need to be on the same side of the transversal (the line cutting through the 2 parallel lines) and be on the same side of their "parent" line as the other.

Answer:

Sodas: 72

Hotdogs: 42

Step-by-step explanation: First you take 114 and subtract 30 from it since there are 30 more sodas. You then would take the remaining 84, and divide it between the two giving you 42 hotdogs and 42 sodas. Now remember the 30 we had? Youre gonna add that to the 42, giving you 72 sodas and 42 hotdogs.

Dilating the triangle ABC would create a triangle with a different side length from triangle ABC

From the diagram, we have the coordinates to be:

A = (2,-5)

B = (2,4)

C = (-4,3)

The dilation rule is given as:

(x,y) => (1.5x, 1.5y)

So, we have:

A' = (3,-7.5)

B' = (3,6)

C' = (-6,4.5)

See attachment for the image of the dilation

Read more about dilation at:

https://brainly.com/question/3457976

Answer:

the answer is (-5/35) or (-1/7)

Step-by-step explanation:

yea i think that explains it pretty nicely

Answer: New cost of Barcelona ticket is £164.5

Given that:

the money of is  Barcelona ticket = £175

Decrease rate = 6%

Find:

New cost of Barcelona ticket

Computation:

New cost of Barcelona ticket = Cost of Barcelona ticket - [Cost of Barcelona ticket][Decrease rate]

New cost of Barcelona ticket = 175 - [175][6%]

New cost of Barcelona ticket = 175 - 10.5

New cost of Barcelona ticket = £164.5

Answer:

1/4

Step-by-step explanation:

someone said 1/4 when I searched this question up so it may be correct

Answer:

equally likely

Step-by-step explanation:

Rainbows usually appear after it rains, but not always, there usually has to be certain specific conditions for it to happen.

Hope this helps! Have a good day! :)

Answer:

There would be 40 dogs in the shelter.

Explanation:

4 rooms times 10 dogs in each room = 40 dogs total

Answer:

40!

Step-by-step explanation:

is this logical question?

it's a mixed fraction

hope it helps..,!!!

Answer:

14x^2y^2 - 21x^2y + 56xy^2 + 63xy

Step-by-step explanation:

Remark

This is a disguised form of the distributive property. Nothing can be simplified inside the brackets. So the plan is to remove them.

7xy*2xy - 3x*7xy + 8y*7xy + 9*7xy      Combine the terms

14x^2y^2 - 21x^2y + 56xy^2 + 63xy

You cannot symplify anything further. If nothing could be combined before, it cannot be simplified now.

Answer: 6217728

Step-by-step explanation: The formula for a Rectangular Prism is (Base/Length)(Width)(Height). (12)(512)(1012).

$4.76 per card

hope it helps...!!!

Answer:

no

Step-by-step explanation:

Explanation:

We have y = -0.9x^2 + 76x - 250 which is in the form y = ax^2+bx+c

where,

The vertex (h,k) is when the profit is maxed out.

h = -b/(2a)

h = -76/(2(-0.9))

h = 42.222 approximately

Let's plug in x values around x = 42

Try x = 41

y = -0.9x^2 + 76x - 250

y = -0.9(41)^2 + 76(41) - 250

y = 1353.10

Now try x = 42

y = -0.9x^2 + 76x - 250

y = -0.9(42)^2 + 76(42) - 250

y = 1354.4

Now try x = 43

y = -0.9x^2 + 76x - 250

y = -0.9(43)^2 + 76(43) - 250

y = 1353.9

We see that the largest profit happens when x = 42.

Answer:

Any number that can be written as a ratio (or fraction) of two integers

Step-by-step explanation:

Answer:

A rational number is a number that can be written as a fraction of two integers.

This makes the last option A number that can be written as a fraction correct

Answer:

200

Step-by-step explanation:

The amount you need to increase your monthly net savings by is C. $200.

Amount to save next year

= Goal - Current savings

= 4,500 - 900

= $3,600

Monthly savings amount

= 3,600 / 12

= $300 per month

Amount to increase savings by

You care already saving $100 so you need to increase by:

= 300 - 100

= $200

Answer:

200

Step-by-step explanation:

Edge 2022

For Q3, you can subsitute x = 2 and y = 5 into the systems

-5(2) + 5 = -5

so it's a solution for the first system

-4(2)+2(5) = 2

it's also a solution for the second system

Answer:

240

Step-by-step explanation:

V = L x W x H

L= 3

W= 10

H= 8

V = 3 x 10 x 8

= 240 cubic meters

Answer:

240

Step-by-step explanation:

All you have to do is multiply all of these numbers to get the answer.

Answer:

Step-by-step explanation:

We can calculate probability by looking at the outcomes of an experiment or by reasoning about the possible outcomes.

Using proportions, that is, finding 25% of 12 km, it is found that she has already biked 3 km on Tuesday.

A proportion is a fraction of a total amount.

In this problem, she has already biked 25% out of her goal of 12 km, hence the distance that she has biked is given by:

d = 0.25 x 12 = 1/4 x 12 = 3 km.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

[tex]\huge\boxed{\sf y > 32}[/tex]

Step-by-step explanation:

Given inequality:

[tex]\displaystyle \frac{1}{4} y > 8\\\\Multiply \ 4 \ to \ both \ sides\\\\y > 8 \times 4\\\\\boxed{y > 32}\\\\\rule[225]{225}{2}[/tex]

Answer:

139 ft³

Step-by-step explanation:

Diameter of the cylinder is 3 ft. Therefore, the radius is 1.5 ft

Volume of the cylinder = πr²h

= 3 × 1.5 × 1.5 × 4

= 27 ft³

Volume of the cuboid (rectangular prism) = lbh

= 7×4×4

= 112 ft³

Volume of the figure = 112 + 27 = 139 ft³