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Anvisha [2.4K]
3 years ago
10

There are 10 kids that want ice cream. Each one can choose between chocolate, vanilla or strawberry. You'll collect their choice

s and make one order, something like: 5 chocolate, 3 vanilla and 2 strawberry. How many possible orders can you make
Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0

Answer: There are 30 possible orders that can be made.

Step-by-step explanation:

Given : Number of kids that want ice cream= 10

Choices for flavors : chocolate, vanilla or strawberry.

i.e. Number of choices for flavors = 3

Then by Fundamental principle of counting , the number of possible orders can be =(Number of kids ) x (Choices for flavors)

=10\times3=30

Therefore , the total number of possible orders that can be made = 30.

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3 years ago
12) A radio transmission tower is 170 feet tall. How long should a guy wire be if it is to be attached 15 feet from the top and
ser-zykov [4K]

The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°

<h3>What is trigonometric ratio?</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

a) Let l represent the length of the guy wire.

sin(30) = (170 - 15) / l

l = 310 feet

b) Let Ф represent the angle, hence:

tanФ = 100/230

Ф = 23°

The length of guy wire needed to make an angle of 30° with the ground is 310 feet. The angle between the end of the shadow and the vertical side of the building is 23°

Find out more on trigonometric ratio at: brainly.com/question/24349828

6 0
2 years ago
Dawson says that the expression (2 4/10+8 4/5(
Katen [24]

Answer:

56/5

Step-by-step explanation:

2 4/10=24/10

8 4/5=44/5

24/10+44/5=24/10+88/10=112/10=56/5

7 0
3 years ago
C. Ben and Michael also participated in the long jump. Michael jumped 334 thousandths of a meter less than Kevin. Ben jumped far
Nikitich [7]

Answer:

Micheal = Kevin - 334mm

Kevin > Ben > Micheal

so you add smthing less than 334mm to Micheal's distance that is not a negative number

4 0
3 years ago
The coordinates of the vertices of △RST are R(−3, −1) , S(−1, −1) , and T(−4, −5) .
Tatiana [17]

Given coordinates of △RST are R(−3, −1) , S(−1, −1) , and T(−4, −5) .

and coordinates of the vertices of △R′S′T′ are R′(1, −2) , S′(1, 0) , and T′(5, −3) .

Solution : We know the rule for the new coordinates of rotatation 90°counterclockwise about the origin.The rule is (h, k) ---> (-k,h).

Where (h,k) are the coordinates of original image on axes and (-k,h) are the coordinates of rotated image.

In resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.

On applying rule (h, k) ---> (-k,h), we get

R(−3, −1) --> R′(1, -3).

S(−1, −1) --> S′(1, -1).

T(−4, −5)  --> T′(5, −4).

Let us apply another rule, each of the y-coordinate is getting reduced by 1 by adding 1 to the new coordinates.

Adding 1 to y-coordinates, we get

(1, -3) --> (1,-3+1) --> R'(1,-2)

(1, -1) --> (1,-1+1) --> S'(1,0) and

(5, −4) --> (5,-4+1) --> T' (5,-3).

So, the transformations steps would be:

1) Translation 1 unit up

2) Rotation of 90 degrees counterclockwise.



4 0
3 years ago
Read 2 more answers
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