A ladder, leaning against a wall, makes an angle of 20° with the ground. The foot of the ladder is 3 m from the wall. How long is the ladder?

(please show work)

Hello!

[tex]\boxed{ \bf The~radius~of~the~sphere~is~6~mm.}[/tex]

We know that:

V = [tex]\frac{4}{3}[/tex]πr³

904.32 = [tex]\frac{4}{3}[/tex]πr³

To figure out the radius, we have to undo the above. We can undo the fraction by multiplying by it's reciprocal:

[tex]\frac{3}{4}[/tex] × [tex]\frac{904.32}{1}[/tex] = [tex]\frac{4}{3}[/tex]πr³ × [tex]\frac{3}{4}[/tex]

678.24 =  πr³

Next, we're going to divide both sides by pi:

[tex]\frac{678.24}{\pi } = \frac{\pi r^{2} }{\pi }[/tex]

215.90 = r³

To undo the, we must find the cube root of 215.90.

r = 6

Answer:

[tex]radius = 6mm[/tex]

Step-by-step explanation:

Volume of a sphere.

Use this formula

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

Now solve for r

[tex]r = (3 \frac{v}{4\pi} ) ^{ \frac{1}{3} } \\ = (3 \times \frac{904.32}{4 \times \pi} ) ^{ \frac{1}{3} } \\ ≈

5.99899mm

[/tex]

Answer:

B

Step-by-step explanation:

(1+isqrt(3))(1+2isqrt(3))=1+2i√3+i√3+i√3*2i√3=3i√3-5=-5+3i√3

Answer:

2/4 i think but im not sure

Answer:

good luck !!

Step-by-step explanation:

Answer:

Good luck

Step-by-step explanation:

Answer:

x = 12.29

Step-by-step explanation:

present value of the claim = x² / (1 + 2%)¹⁵ = 0.743x²

present value of the 10 premiums:

x + x/1.02 + x/1.02² + x/1.02³ + x/1.02⁴ + x/1.02⁵ + x/1.02⁶ + x/1.02⁷ + x/1.02⁸ + x/1.02⁹ = x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x = 9.1323x

0.743x² = 9.1323x

x² / x = 9.1323 / 0.743

x = 12.29

Answer

x = 12.29

Step-by-step explanation:

Given that the policy claims x² in 15 years, at 2% = 0.02, the present value of the claim is given as:

x²/(1 + 0.02)^15

= x²(1/1.02)^15

= 0.743x²

The present value of the 10 premiums:

x + x/1.02 + x/1.02² + x/1.02^3 + x/1.02^4 + x/1.02^5 + x/1.02^6 + x/1.02^7 + x/1.02^8 + x/1.02^9

= x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x

= 9.1323x

Now,

0.743x² = 9.1323x

x²/x = 9.1323/0.743

x = 12.29

This is what we are looking for.

Answer:

28 snakes are missing

Step-by-step explanation:

7 times 104 = 728

7 times 100 = 700

728 minus 700 = 28 snakes are missing

The equation can be written as:

4 + 5 / 2

Remember to follow PEMDAS.

4 + 5 / 2

4 + 2.5

6.5

Best of Luck!

Answer:

If you mean whats 4+5/2 the answer is 6.5 because PEMDAS says to Divide first . So 4+(5/2). 5/2 is 2.5. so 4+(2.5) which equals 6.5

Answer:-2

Step-by-step explanation:

It’s not -6b because that is showing that it’s getting subtracted

Hope I helped

Answer:n=-9/2m

Step-by-step explanation:

Step 1: Add 3n to both sides.

-2m-5n+3n=7m-3n+3n

-2m-2n=7m

Step 2: Add 2m to both sides.

-2m-2n+2m=7m+2m

-2n=9m

Step 3: Divide both sides by -2.

-2m/-2=9m/-2

n=-9/2

Hope I helped

Answer:

n= -9m/2

Step-by-step explanation:

-2m-7m-5n=7m-7m-3n

-9m-5n+5n= -3n+5n

-9m=2n

n= -9m/2

Answer:

[tex]68\%[/tex]

Step-by-step explanation:

Let A be the event that Daniel receives call from SeaWorld.

Probability of event A, P(A) = [tex]35\%[/tex]

Let B be the event that Daniel receives call from Central Park Zoo.

Probability of event B, P(B) = [tex]48\%[/tex]

Probability that Daniel receives calls from both SeaWorld and Central Park Zoo:

[tex]P(A \cap B) = 15\%[/tex]

We know that formula:

Probability that Daniel receives call from either SeaWorld or Central Park Zoo but not both:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\\Rightarrow P(A \cup B) = 35\% + 48\% - 15\%\\\Rightarrow P(A \cup B) = 68\%[/tex]

Hence, required probability is [tex]68\%[/tex].

Answer:

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

2/10 cm are blue.

Answer:

Step-by-step explanation:

Given that:

To bet $5 that the outcome is any one of these five possibilities: 0, 00, 1, 2, 3.

Let Y represent the Amount of net profit

Then, Y= {-5, 30}

The probability distribution of Y is:

Y                        -5                        30

P(Y=y)                [tex]\dfrac{33}{38}[/tex]                        [tex]\dfrac{5}{38}[/tex]

a)  The expected value of X is given by:

[tex]E[Y] =\sum y P(Y=y)= 30*\dfrac{5}{38}-5*\dfrac{33}{38}[/tex]

[tex]=-0.39[/tex]

[tex]= -39 \ cents[/tex]

b)

On a bet of $5 on the number 25 we are expected to loose 24 cents.

While on a $5 bet that the outcome is any one of the numbers 0,00, or 1 we are expected to loose 39 cents.

Hence,  $5 bet on the number 27 is better. Because the expected loss is less in this bet

Answer:

Step-by-step explanation:

Is in

Answer: 1)The more sandwiches you sell the more you income goes up. 2)If you sell 24 sandwiches  the cost will be the same as your income. 3) If you sell 0 sandwiches you will get zero income.

Step-by-step explanation:

You have to determine how many weeks it takes them to make that much, then you add the total. you can determine how many weeks it takes by multiplying

Answer: So you have to first find out how many weeks Alicia needs to work and write it like this (an example)

3x?=9 something like that hope i helped

Step-by-step explanation:

Answer:

  A' is at (-4, 1)

Step-by-step explanation:

Reflection over both axes is equivalent to rotation by 180°. Then rotation by 180° returns the point to its original location. The original location of point A is (-4, 1), so the location of its image is A'(-4, 1).

Answer:

V=π(d/2)^2·h

=π·(10/2)^2 · 20

≈1570.79633in³

this is the correct answer!!!

The approximate volume of the cylinder is 1570.796 inches³.

Volume of a three dimensional shape is the space occupied by the shape.

A cylinder is a geometrical shape has two circular bases which are parallel and they are connected with a curved surface.

Given that,

Height of the cylinder = 20 inches

Diameter of the base = 10 inches

Radius = Diameter / 2 = 10/2 = 5 inches

Volume of the cylinder = π r² h, where r is the radius and h is the height.

Volume = π (5)² (20)

             = 500π

             = 1570.796 inches³

Hence the volume is approximately 1570.796 inches³.

Learn more about Volume here :

https://brainly.com/question/16134180

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Answer:

The cop = 40 and the baseball cap = 3 and the baseball bat = 21

Step-by-step explanation:

So 40 - 21 + 3(2) = 25

Answer:

25

Step-by-step explanation:

look at the whole thing first. you see that the field = player so first you do 120/3. you get 40. then for teh second you have two "40's" and an unknown. so you do 101-80 because 40+40=80 and get 21. for the fourth you have 21/?=7 . we can do 21/7=3 to find this. so the helmet is 3. for the final we have 40-21+6 and that equals 25. thank you ;)

Answer:

94.2 ft.

Step-by-step explanation:

The equation to find circumference is 2 times pie times radius. We subsitute  pie for 3.14. Now the equation is 2(3.14)r. The radius is 15. When we subsitute 15 for r the answer will be 2(3.14)15. Another way to write it is 2 times 3.14 times 15. The answer would be 94.2

Answer:

[tex]m = 789[/tex]

Step-by-step explanation:

[tex]774 = m - 15 \\ 774 + 15 = m \\ 789 = m[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

So the right answer is 789

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

Brother's age =24

Om's age =19

Step-by-step explanation:

Let bro's age be x

Let om's age be x-5

x+x-5=43

2 x -5=43

2 x = 43+5

2 x = 48

x = 24

Answer:

[tex]3.18cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: True

Step-by-step explanation:

In triangles MNP and QRS:

NP=RS (hypotenuses);

∠P=∠S (acute angles).

Then, triangles MNP and PRS are congruent by HA theorem.

which makes the answer true

Answer:

True

Step-by-step explanation:

I just took the test, A-p-e-x

Answer:

Dividing 4x^2 - 13x + 8  by x + 5 or x - (-5), in synthetic division form:

-5)        4          |       -13      |          8

           ↓               4 x (-5)     (-5) x (-33)  

           4                 -33               173

=> Quotient is 4x - 33 and remainder is 173

=> (4x^2  - 13x + 8)/(x + 5) = (4x - 33) + 173/(x + 5)

Hope this helps!

:)

Answer:

-5/4 -13 8

Step-by-step explanation:

Answer:

X is 108, infinite

Step-by-step explanation:

Answer:

It is 4

Step-by-step explanation:

Answer:

288π or 904.78

Step-by-step explanation:

We know that the diameter of this beach ball is 12 inches and we want to determine how much air it can hold using the formula for the volume of a sphere which is [tex]\frac{4}{3}[/tex] × π × r³ where 'r' is the radius. In the question we are given the diameter not the radius but we can half the diameter to find the radius so 12 ÷ 2 = 6. The radius of the beach ball is 6 inches so let's work out how much air it can hold.

Volume = [tex]\frac{4}{3}[/tex] × π × r³

→ Let's substitute in the values

Volume = [tex]\frac{4}{3}[/tex] × π × 6³

→ Simplify

Volume = [tex]\frac{4}{3}[/tex] × π × 216

→ Simplify further

Volume = 288π or 904.78

The amount of air can the sphere shape beach ball hold is 208π or 904.78 inches.

The "set of all  points  in 3 dimensional space is lying the same distance from the given points or center" is called sphere.

According to the question,

Diameter of sphere shape beach ball is 12inches

Radius of sphere shape beach ball is 12/2 = 6inches

Volume of sphere = [tex]\frac{4}{3}[/tex] × π × r³  

= [tex]\frac{4}{3}[/tex] × [tex]\frac{22}{7}[/tex] × (6)³

= 904.78inches

Hence, the amount of air can the sphere shape beach ball hold is 208π or 904.78 inches.

Learn more about sphere here

https://brainly.com/question/20377790

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[tex]\text{Solve by plugging in 3 to x:}\\\\f(x)=5+4(3)^2\\\\f(x)=5+4(9)\\\\f(x)=5+36\\\\f(x)=41\\\\\boxed{f(3)=41}[/tex]

Answer:

hope this helps

Step-by-step explanation:

f(x) = 5 + 4x^2, then f(3)

5 + 4(3)^2

5+4(9)

5+36

41

Answer:

(p+e)/(r-n) =  x

Step-by-step explanation:

p + nx=rx-e

Add e to each side

p +e+ nx=rx-e+e

p +e+ nx=rx

Subtract nx from each side

p +e+ nx - nx=rx-nx

p+e = rx -nx

Factor out x

p+e = x(r-n)

Divide each side by (r-n)

(p+e)/(r-n) =  x(r-n)/(r-n)

(p+e)/(r-n) =  x