All categories

3 years ago

Could someone check my answer please . Thank you

Mathematics

1 answer:

Elodia [21]3 years ago

8 0

Hello! We will be using the Pythagorean theorum, where a² + b² = c². C is the clanted part of the triangle, and 13² is 169. a = 12, and we are looking for the value of b. 12² is 144. Let's subtract to find b. 169 - 144 is 25. Now, let's find the square root of 25 to find the length. √25 is 5. There. b = 5. The side length of side b is 5. The correct answer is C: 5.

You might be interested in

Write an expression that equals to 100 and only uses the number 3. You can use exponents and parentheses but the exponent must e

Liono4ka [1.6K]

33+33+3^0 = 100
(in case you didnt know the third one is three to the power of 0)

8 0

3 years ago

1. Solve the system.

Sliva [168]

Answer:

Step-by-step explanation:

We put 2nd equation into 1st equation and get y:

$y=\frac{1}{7}x-4\\y=\frac{1}{7}(7y+1)-4\\y=y+\frac{1}{7}-4\\y=y-\frac{15}{4}\\NOTHING$

We can't seem to come to a solution.

Also let's rearrange the 2nd equation into y = something form:

x = 7y + 1

7y = x - 1

y = 1/7 x -1

As we can see BOTH the lines have the same SLOPE, the number before x, which is 1/7 and we know that lines with same slope are parallel, they never intersect.

Having a solution to a system means their intersection point, since they are parallel lines, they don't intersect, and hence DO NOT HAVE A SOLUTION.

D is the correct choice.

8 0

4 years ago

Three candidates were running for president of a student council. Altogether, 1524 students cast a vote in the election. The sec

Leya [2.2K]

Answer:

48%

Step-by-step explanation:

The total number of votes casted = 1524 votes = 100%

Let a = votes of first place candidate

b = votes of second place candidate

c = votes of third place candidate

The second place candidate had 140 votes less than the winner

b = a - 140 votes...... Equation 1

Hence,

a = b + 140.......... Equation 2

Second place candidate has 395 votes more than the last place candidate

b = c + 395.......Equation 3

Hence,

c = b - 395......Equation 4

a + b + c = 1524 votes....... Equation 5

If a = b + 140 and c = b - 395

The number of votes by b(second place candidate ) =

b + 140 + b + b - 395 = 1524 votes

3b = 1524 + 395 - 140

3b = 1779

b = 1779/3

b = 593 votes.

Therefore, the second place candidate had 593 votes.

Now we can calculate how many votes, the other candidates had.

The second place candidate had 140 votes less than the winner

Votes for the winner( first place candidate)

b = a - 140 votes...... Equation 1

Hence,

a = b + 140.......... Equation 2

Since b = 593

a = 593 + 140

a = 733 votes

Votes for the last place candidate

Since, Second place candidate has 395 votes more than the last place candidate

b = c + 395.......Equation 3

Hence,

c = b - 395......Equation 4

b = 593

c = 593 - 395

c = 198

From the above calculation,

a = votes of first place (winner) candidate = 733

b = votes of second place candidate = 593

c = votes of third(last) place candidate = 198

In the above question, we were asked to calculate the percentage of all the votes cast were received by the winner.

This is calculated as

= Voted received by winner/ Total number of votes casted × 100

= 733/1524 × 100

= 48.09711286%

Approximately to the nearest percent = 48%

Therefore, the percentage of all the votes cast were received by the winner = 48%

5 0

3 years ago

Please HELP. ALSO WHY. 2 question. pLZZ

avanturin [10]

Answer:

1). Number of kids on the other side = 16

2). Brian took the time to each piece of pie = 20 seconds

Step-by-step explanation:

1). Let the number of kids on one side = x

Then the number of kids on other side = 2x

3 adults helped the side having number of kids = x, then the number of people on this side = x + 3

Since the total number of people on this side = 11

Then the equation will be,

x + 3 = 11

x = 11 - 3

x = 8

Then number of kids on the other side = 2x = 2×8

= 16

2). By unitary method,

∵ Brian took the time to eat 6 pieces of the pie = 2 minutes

∴ Brian will take time to eat 1 piece of pie = $\frac{2}{6}$ minutes

= $\frac{2}{6}\times 60$ seconds

= 20 seconds

6 0

3 years ago

Can you help me solve that

yuradex [85]

Answer:2.6

Step-by-step explanation:

Use your graphing calculator of you have one and if you don't you can find one online and plug in the equation and find the intersection . If you get 2.5571 round it to the nearest tenth and you should get 2.6

6 0

3 years ago

Read 2 more answers