Probability of getting heads on first try is 1/2
probability of getting heads on 2nd try is 1/2
probability of getting both is : 1/2 * 1/2 = 1/4
These are both independent because 1 does not effect the other
Answer:
Part 1) The ratio of the sides is 1.5
Part 2) see the explanation
Step-by-step explanation:
Part 1) we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
If Δdef and Δxyz are similar (given problem)
then
substitute the values
solve for FY
When two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
The scale factor is equal to
Part 2) How you could verify that these two triangles are indeed similar.
Remember that
In similar figures the corresponding angles are congruent
so
If
m∠D≅m∠X
m∠W≅m∠Y
m∠F≅m∠Z
then
Triangles are similar
The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³
<h3>What is
volume?</h3>
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a cone is given by:
volume = (1/3) * π * radius² * height
The cone that has a height of 6 inches and a radius of 3 inches. Hence:
Volume = (1/3) * π * 3² * 6 = 56.55 in³
For 12 hats:
Volume = 12 * 56.55 in³ = 678.58 in³
The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³
Find out more on volume at: brainly.com/question/12410983
Answer:
Yes she has enough walnuts for her two recipes
Step-by-step explanation:
Total number of walnuts that Marni has = 11 ounces
She has two receipe
First recipe = 6 ounces
Second recipe = 1/4 pounds
Hence,
To find out if she has enough:.we add up the number of ounces from both recipes
The second recipe is in pounds hence, we convert to ounces.
1 pound = 16 ounces
1/4 pound =
Cross Multiply
= 1/4 pounds × 16 ounces/1 pound
= 4 ounces
Hence, we can add up now
First recipe + Second recipe
= 6 ounces + 4 ounces
= 10 ounces.
Since both recipes would require a total of 10 ounces of walnuts and Marin has 11 ounces, we can conclude that Marin has enough ounces of walnuts for her two recipes.
