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3 years ago

The perimeter of a rectangular field is 380 yards. The length is 70 yards. Find the dimensions.

Mathematics

1 answer:

lawyer [7]3 years ago

4 0

380-140 is 240 and 240 divided by 2 is 120 and that's the width, 120

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In a certain Algebra 2 class of 29 students, 7 of them play basketball and 24 of them play baseball. There are 3 students who pl

antiseptic1488 [7]

Answer:

$\frac{5}{29}$

Step-by-step explanation:

Let $n(A)$ represent students playing basketball, $n(B)$ represent students playing baseball.

Then, $n(A)=7$ , $n(B)=24$

Let $n(S)$ be the total number of students. So, $n(S)=29$ .

Now,

$P(A)=\frac{n(A)}{n(S)}=\frac{7}{29}$

$P(B)=\frac{n(B)}{n(S)}=\frac{24}{29}$

3 students play neither of the sport. So, students playing either of the two sports is given as:

$n(A\cup B)=n(S)-3\\n(A\cup B)=29-3=26$

∴ $P(A\cup B)=\frac{n(A\cup B)}{n(S)}=\frac{26}{29}$

From the probability addition theorem,

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Where, $P(A\cap B)$ is the probability that a student chosen randomly from the class plays both basketball and baseball.

Plug in all the values and solve for $P(A\cap B)$ . This gives,

$\frac{26}{29}=\frac{7}{29}+\frac{24}{29}+P(A\cap B)\\\\\frac{26}{29}=\frac{7+24}{29}+P(A\cap B)\\\\\frac{26}{29}=\frac{31}{29}+P(A\cap B)\\\\P(A\cap B=\frac{31}{29}-\frac{26}{29}\\\\P(A\cap B=\frac{31-26}{29}=\frac{5}{29}$

Therefore, the probability that a student chosen randomly from the class plays both basketball and baseball is $\frac{5}{29}$

6 0

2 years ago

I need the solution and the work for it... for each of the multiple choices.

Vlad1618 [11]

For this case we have the following equation:

$x ^ 3 = 375$

We must find the value of "x":

We apply cube root on both sides of the equation to eliminate the exponent:

$x = \sqrt [3] {375}$

We can write 375 as $5 ^ 3 * 3$

So:

$x = \sqrt [3] {5 ^ 3 * 3}\\x = 5 \sqrt [3] {3}$

Then, the correct options are:

$x = \sqrt [3] {375}\\x = 5 \sqrt [3] {3}$

Answer:

Option A and B

8 0

3 years ago

First to answer gets something good ;)

lesya [120]

Answer:

should be the second one 75 + 20x <55 +44x

7 0

3 years ago

HELPPPPPPP!!!!! PLEASEEEE!!!!

maksim [4K]

Answer:x=1012

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Can someone help me on this

nydimaria [60]

Answer:

10√3 feet

Step-by-step explanation:

In a 30-60-90 triangle;

-Long leg = long leg

-Short leg = 1/2 * long leg

-2nd longest leg = short leg * √3

-Long leg = 20

-Short leg = 1/2 * long leg = 10

-2nd longest leg = short leg * √3 = 10√3

8 0

2 years ago

Read 2 more answers