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2 years ago

Determine whether each of the following triangles is a right-angled triangle

Mathematics

1 answer:

Fantom [35]2 years ago

4 0

Answer:

Yes

Step-by-step explanation:

To determine if this is a right triangle, use the pythagorean theorem and see if a^2 + b^2 is equal to c^2.

a^2 + b^2 = c^2

12^2 + 16^2 = 20^2

Evaluate the exponents.

144 + 256 = 400

Add them together.

400 = 400

Since a^2 and b^2 add up to equal c^2, this is a right triangle.

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50 points will mark brainiest match each exponential function to it's rate of change

nordsb [41]

Step-by-step explanation:

An exponential function of a^x (a>0) is always ln(a)*a^x, as a^x can be rewritten in e^(ln(a)*x). ... The derivative shows, that the rate of change is similiar to the function itself. For 0<a<1, ln(a) becomes negative and so is the rate of change.

8 0

2 years ago

The histogram to the right represents the weights (in pounds) of members of a certain high-school math team.

kupik [55]

Answer: There are total 20 team members.

Step-by-step explanation:

Ans: There are total 20 team members.

Concept: In the given picture a graph shows the relation between the number of people and their weight. The y-axis shows the number of team members and the x-axis shows the weight of those particular number of members. So, just notice the number of members corresponding to all the given weights and add them.

Solution step by step

Step 1: Members corresponding to 115kg

There are total 5 members having 115kg weight.

Step 2: Members corresponding to 135kg

There are total 3 members having 135kg weight.

Step 3: Members corresponding to 155kg

There are total 2 members having 155kg weight.

Step 4: Members corresponding to 175kg

There are total 0 members having 175kg weight.

Step 5: Members corresponding to 195kg

There are total 3 members having 195kg weight.

Step 6: Members corresponding to 215kg

There are total 4 members having 215kg weight.

Step 7: Members corresponding to 235kg

There are total 3 members having 235kg weight.

Step 8: Add the number of members

The total number of members are 5+3+2+0+3+4+3=20

So, the total number of members are 20.

#SPJ10

5 0

1 year ago

Ramen noodles. There are 20 ramen noodle packages in a bag. There are 10 beef flavored, and the other 10 are chicken flavored. W

Elina [12.6K]

Answer:

0.789

Step-by-step explanation:

Number of beef flavored Ramen noodles = 10

Number of chicken flavored Ramen noodles = 10

Total number of noodles = 20

Number of ways to select 3 packages:

$_{20}C_3= \dfrac{20\times 19\times 18}{3\times 2\times 1}=1140$

Number of ways to select two beef flavored Ramen noodle = $_{10}C_2$ = 45

Number of ways to select one chicken flavored Ramen noodle = 10

Number of ways to select two chicken flavored Ramen noodle = $_{10}C_2$ = 45

Number of ways to select one chicken flavored Ramen noodle = 10

Total number of ways so that one chicken and one beef Ramen selected = 450 + 450 = 900

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Required probability is:

$\dfrac{900}{1140} = 0.789$

8 0

2 years ago

What is the answer to the problem 1/2x=14

Iteru [2.4K]

The answer to your problem is 28.

5 0

2 years ago

Read 2 more answers

Please help me please help me please help me please help me please help me please help me please

Serga [27]

Answer:

first one is square root

don't know the second tho

4 0

2 years ago