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nadya68 [22]
3 years ago
14

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 5, the length of B C is 3, and the length

of A C is 4. What is the length of the side opposite Angle B? 3 units 4 units 5 units 6 units

Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0

The side opposite to angle B is the side that does not contact with angle B.

In this attached image, you can see better that sides AB and BC is in contact with angle B. So, the opposite side to angle B is AC.

Therefore, the lenght of the side opposite to angle B is 4 units.

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Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each
Sindrei [870]

Answer:

After 3 weeks they both will have the same amount in their savings account.

Step-by-step explanation:

Given:

Amount saved by Haley = $155

Amount saved by Hank = $230

Amount saving each week by Haley = $10

Amount spending each week by Hank = $15

We need to find Number of weeks when both both will have same amount in savings account.

Solution:

Let Number of week be 'x'.

Total Amount of Haley can be calculated by Amount saved by Haley plus Amount saving each week by Haley multiplied by number of weeks.

framing in equation form we get;

Total Amount of Haley = 155+10x

Also;

Total Amount of Hank can be calculated by Amount saved by Hank minus Amount spending each week by Hank multiplied by number of weeks.

framing in equation form we get;

Total Amount of Hank = 230-15x

Now we need to find the number of weeks when both will have same amount.

To find the same we will have to make both the equation equal.

So we can say.

155+10x=230-15x

On Solving above equation we get;

We will combine the like terms together;

10x+15x =230-155\\\\25x = 75

Now Dividing both side by 25 using Division property of equality we get;

\frac{25x}{25} = \frac{75}{25}\\\\x=3 \ weeks

Hence, After 3 weeks they both will have the same amount in their savings account.

4 0
2 years ago
Five of the 25 girls on Alden Middle School’s soccer team are seventh-grade students. Find the percentage of seventh graders on
Fed [463]

Oh, I remember this one. Here's this if you need it, if it doesn't help then let me know.

6 0
3 years ago
Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team memebers who do not wear glasses, 30
GarryVolchara [31]

the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.

Given, the members of the junior varsity swim team wear glasses is 55%.

And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.

Let the total no. of members be x.

So, the members of the junior varsity swim team wear glasses (55%),will be

0.55x.

The total number of members not wearing glasses, will be

x - 0.55 x = 0.45 x.

Now, the no. of members not wearing glasses and in 10th grade will be,

\frac{0.45x\times30}{100} =0.135x

We know that the probability of an event E, P(E) will be,

P(E)=\frac{No.\ of Favourable\ outcomes}{total \ no. \ of \ outcomes}

So, the probability for no. of members not wearing glasses and in 10th grade will be,

P(E)=\dfrac{0.135x}{x}

P(E)=0.135\\\\P(E)=13.5 \%

Hence the nearest whole percent of probability is 14%.

For more details on probability follow the link:

brainly.com/question/795909

8 0
2 years ago
Kamoira bought 8 pizzas for $131.36. Each pizza cost the same amount. What was the cost of each pizza in dollars and cents?
Veseljchak [2.6K]

Step-by-step explanation:

so, you don't know what a division is for ?

it is to ask things like "how often does one number fit into another number", or "how big will each piece be, if I split something into a certain number of equally sized pieces ?".

this is what we need here.

8 pizzas for $131.36. and each pizza costs the same. you see how that connects to what I just described above ?

to find how much each pizza cost, we need to divide the total price by 8, to find the size (= here the price) of each of the equally big parts of the total price.

131.36 / 8 = $16.42

6 0
2 years ago
N aumentado en un 25%
Shkiper50 [21]

Answer:

1.25 * N

Step-by-step explanation:

We have to increase N by 25%.

The first thing is to say how the percentage works in these cases, N would be our 100% and the increase would be 25% in this case, therefore, the initial value must be added (that is, N, 100%) and to that if add 25% of the initial value (that is, + 25% N).

Thus:

100% * N + 25% * N = N * (100% + 25%)

N * (125%) = 1.25 * N

So to increase N is 25% it would be 1.25 * N

8 0
3 years ago
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