Answer:
The length of BC = 12
Step-by-step explanation:
c^2 = a^2 + b^2
15^2 = 9^2 + b^2
225 = 81 + b^2
b^2 = 225 - 81
b^2 = 144
b = 12
The length of BC is 12
Answer:
As both prism have the same base area and height there volumes are the same.
Step-by-step explanation:
Volume of the prism is given by
Volume of Prism A= base area* height
60 cubic units= base area* 12
base area= 60/12= 5 units
Volume of Prism B= base area* height
= 5 units*12 units
= 60 cubic units
As both prism have the same base area and height there volumes are the same.
The length of the longer side is the length of the triangle itself.
For example the length of longer side of prism A maybe 10 units but width may be 1/2 units
and
the length of longer side of prism B maybe 15 units but width may be 1/3 units
the total base area remains the same.
Answer:
a)10
b)5120
Step-by-step explanation:
Given that number of ants double after every ten days, form a table that shows numbe of ants from day 1 to day 91
Day Number of Ants
1 10
11 20
21 40
31 80
41 160
<em>51 320-----------------given</em>
<em>61 640------------------given</em>
<em>71 1280----------------given</em>
81 2560
91 5120
Using the given values for number of ants and the number of days, you can notice the trend for values of days and number of ants.After every ten days, number of ants doubles.Using this information, you can navigate backwards up to day 1 and forward up to day 91
Using conditional probability, it is found that there is a 0.035 = 3.5% probability that a hospital patient has both Medicare and Medicaid.
<h3>What is Conditional Probability?</h3>
- <em>Conditional probability</em> is the <u>probability of one event happening, considering a previous event</u>. The formula is:

In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem, the events are:
- Event A: Patient has Medicare.
- Event B: Patient has Medicaid.
For the probabilities, we have that:
- 35% of the patients have Medicare, hence
.
- Of those who have Medicare, there is a 10% chance they also have Medicaid, hence
.
Then, applying the <em>conditional </em>probability:




0.035 = 3.5% probability that a hospital patient has both Medicare and Medicaid.
You can learn more about conditional probability at brainly.com/question/14398287
We are given a circle graph that shows the time spent on homework last week.
Jacob spent a total of 16 hours doing homework.
The time spent on doing science homework is given by

The time spent on doing band practice is given by

The difference between the time spent on science homework and band practice is

Therefore, Jacob spent 2 more hours on science homework than band practice.