Alan is at an ice cream shop. The shop offers three types of cones (regular, waffle, and chocolate), and two flavors of ice cream (chocolate and strawberry).The ice cream shop has a special on a random cone and ice cream flavor picked by a computer program. What is the probability that Alan will get waffle cone with strawberry ice cream if he asks for the special? (Round the answers to the nearest hundredth.)
Answers
Answer:
0.17
Step-by-step explanation:
There is a 1 in 6 chance.
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Find an ordered pair (x, y) that is a solution to the equation.5x - y = 8
Answers
Answer: Prism B is 6 inches taller than Prism A.
Step-by-step explanation:
To find the height difference between Prism B and Prism A, we need to compare their dimensions and surface areas.
1. Start by calculating the surface areas of Prism A and Prism B. The surface area of a rectangular prism is given by the formula \(2lw + 2lh + 2wh\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height.
For Prism A:
Surface area of Prism A = \(2(6 \times 2) + 2(6 \times h) + 2(2 \times h)\)
= \(12 + 12h + 4h\)
= \(12 + 16h\)
For Prism B:
Surface area of Prism B = \(2(4 \times 3) + 2(4 \times h) + 2(3 \times h)\)
= \(24 + 8h + 6h\)
= \(24 + 14h\)
2. Since the two prisms have the same surface area, we can set their surface area equations equal to each other and solve for \(h\):
\(12 + 16h = 24 + 14h\)
3. Simplify the equation:
\(16h - 14h = 24 - 12\)
\(2h = 12\)
4. Solve for \(h\) by dividing both sides of the equation by 2:
\(h = \frac{12}{2}\)
\(h = 6\)
Therefore, Prism B is 6 inches taller than Prism A.
Final answer:
To find the difference in height between Prism A and Prism B, we compare their base areas and calculate their respective heights based on the same surface area.
Explanation:
Prism A has a length of 6 inches and a width of 2 inches, while Prism B has a length of 4 inches and a width of 3 inches. To compare their heights, we need to find their base areas first.
The base area of Prism A is 6 x 2 = 12 square inches, and the base area of Prism B is 4 x 3 = 12 square inches as well. Since they have the same surface area, their heights must be different.
To find the difference in height, we divide the surface area by the base area to get the height. For Prism A, 12 / 12 = 1 inch. For Prism B, 12 / 12 = 1 inch as well. Therefore, Prism B is 1 inch taller than Prism A.
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simplify complex fraction 3/4 + 1/3/1/6 + 3/4
Answers
= (3/4 + 1/3)/(1/6 + 3/4)
Multiply numerator and denoiminator by 12
=12(3/4+1/3) / 12(1/6 + 3/4)
= (3*3 + 1*4) / (2 + 3*3)
= 13/11
B) yes, by SAS similarity criterion
C) yes, by SSA similarity criterion
D) no, not possible to tell.
Answers
Answer:
Option A is correct.
Yes, by AA similarity criterion
Step-by-step explanation:
AA(Angle-Angle) Similarity Criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
In ΔBAC and ΔCED
[Angle] [Given]
[Angle] [Common angle]
Therefore, by AA similarity criterion;
Therefore, ΔBAC and ΔCED are similar by AA similarity criterion.
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Answers
Answer:48
Step-by-step explanation:
Answers
Answer:
2 2/5 or 12/5
Step-by-step explanation:
First, you change the mixed number in the equation to an improper fraction; 8/5 divided by 2/3. 8/5 divided by 2/3 equals 8/5x3/2, simply multiply the numerators and the denominator, and simply the fraction.
Hope this helps!
Answers
Answer:
46
Step-by-step explanation:
72 + 58 + 2x + 3x = 360
5x = 230
x = 46