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3 years ago

There are 31 flavors of ice cream, 2 choices of cones, 1 scoop, 2 scoops, or 3 scoops. How many different choices are there?

Mathematics

1 answer:

Kitty [74]3 years ago

7 0

Answer:

There are 39 different choices

Step-by-step explanation:

Add the the flavors of ice cream the cones and the scoops.

31+2=33

1+2+3=6

33+6=39

Hope this helps

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3/5a = 5 1/2 rational number equation

photoshop1234 [79]

Answer:

a = 55/6

Step-by-step explanation:

<u>Solving in steps:</u>

3/5a = 5 1/2
3/5a = 11/2
a = 11/2 : 3/5
a = 11/2*5/3
a = 55/6 or 9 1/6

7 0

3 years ago

a class has six boys and 14 girls what is the ratio in simplest form that compares number of boys the number of students

-BARSIC- [3]

Answer:

3:10

Step-by-step explanation:

Boys- 6

Girls- 14

Total students- 20

Boys:Total students

6 : 20

Simplify:

6/2=3

20/2=10

This is written as:

3:10

➴Hope this helps!

➸CloutAnswers

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3 years ago

Geometry 100 pts plz help!!! screenshot attatched

nirvana33 [79]

Answer:

1. A

2. D

3. C

4. E

5. B

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).

insens350 [35]

Answer:

$\cos{\theta} = \dfrac{1}{52}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

$\sec{\theta} = \dfrac{1}{\cos{\theta}}$

we can substitute the value of sec(θ) in this equation:

$52 = \dfrac{1}{\cos{\theta}}$

and solve for for cos(θ)

$\cos{\theta} = \dfrac{1}{52}$

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by $\theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ$

b) since right triangle is mentioned in the question. We can use:

$\cos{\theta} = \dfrac{\text{adj}}{\text{hyp}}$

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:

length of the adjacent side = 1
length of the hypotenuse = 52

we can find the third side using the Pythagoras theorem.

$(\text{hyp})^2=(\text{adj})^2+(\text{opp})^2$

$(52)^2=(1)^2+(\text{opp})^2$

$\text{opp}=\sqrt{(52)^2-1}$

$\text{opp}=\sqrt{2703}$

length of the opposite side = √(2703) ≈ 51.9904

we can find the sin(θ) using this side:

$\sin{\theta} = \dfrac{\text{opp}}{\text{hyp}}$

$\sin{\theta} = \dfrac{\sqrt{2703}}{52}}$

and since $\csc{\theta} = \dfrac{1}{\sin{\theta}}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

4 0

3 years ago

Please help me solve!

Elina [12.6K]

Answer:

Step-by-step explanation:

Comment

There are a number of ways of doing this problem. I don't know which method you are intended to use. One sure way in this case is graphing the equation, I have done this for you. See below. The maximum volume occurs where x = 2

The graph shows that there is a peak at x = 2. That is where the maximum volume is,

Answer

x = 2

6 0

2 years ago