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3 years ago

(URGENT) need answer for today

Mathematics

1 answer:

Harman [31]3 years ago

8 0

<u>Given</u>:

Given that a basketball court is in the shape of a rectangle that is 94 feet long and 50 feet wide.

We need to determine the length of the diagonal to the court.

<u>Length of the diagonal:</u>

The length of the diagonal can be determined using the Pythagorean theorem.

Thus, we have;

$d^2=l^2+w^2$

where d is the diagonal, l is the length and w is the width of the rectangle.

Substituting the values, we have;

$d^2=94^2+50^2$

$d^2=8836+2500$

$d^2=11336$

$d=\sqrt{11336}$

$d=106.5$

Thus, the length of the diagonal of the court is 106.5 feet.

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Ok So I an taking algebra 1 and this question is really confusing me.

V125BC [204]

You use the arithmetic sequence formula and input the information given to you.
tn = a + (n-1)d
t(56) is what your looking for so don't worry about the tn.
a is your first term,
a = 15.
n is the position of the term you are looking for, n = 56.
And d is the common difference, you find this by taking t2 and subtracting t1. t2=18 and t1=15.
d = 18 - 15 = 3
Inputting it all into the formula you get,
t(56) = 15 + (56-1)(3)
term 56 = 180.
You use this formula to find any term in a sequence provided you are given enough info. You can also manipulate it if you are asked to find something else like the first term(a), common difference(d) or term position(n). It just depends on what the question is asking and what information you are given. :)
Hope this helps!

7 0

3 years ago

The coordinates of the vertices of a triangle are A(-1, 2), B(3, 1), and C(-3, -2). The coordinates of the vertices of its image

Levart [38]

Answer:

ΔABC was translated right 4 units and down 4 units.

Step-by-step explanation:

A' - A = (3, -2) -(-1, 2) = (3+1, -2-2) = (4, -4)

So, the transformation is (x, y) ⇒ (x +4, y -4).

Adding these values to a coordinate pair causes it to be translated to the right 4 units (x is increased by 4) and down 4 units (y is decreased by 4).

6 0

3 years ago

Read 2 more answers

Use the formula to evaluate the series 1+2+4+8+...a10

valina [46]

Answer:

The sum of the given series is 1023

Step-by-step explanation:

Geometric series states that a series in which a constant ratio is obtained by multiplying the previous term.

Sum of the geometric series is given by:

$S_n = \frac{a(1-r^n)}{1-r}$

where a is the first term and n is the number of term.

Given the series: $1+2+4+8+.................+a_{10}$

This is a geometric series with common ratio(r) = 2

We have to find the sum of the series for 10th term.

⇒ n = 10 and a = 1

then;

$S_n = \frac{1(1-2^{10})}{1-2} =\frac{1-1024}{-1} =\frac{-1023}{-1}=1023$

Therefore, the sum of the given series is 1023

8 0

3 years ago

What is the solution to the inequality below?

Svetlanka [38]

Answer:

B. x < -8 or x > 8

Step-by-step explanation:

You can use process of elimination to solve this problem by going through every solution and testing them out, but let's jump right to B.

Process:

You know that since the inequality states that x^2 has to be greater than 64, x has to be more than 8, or less than -8.

This is because 8^2 = 64, and -8^2 = 64, and the inequality requires the answer to be more than 64.

Looking at B., you can see that if x is < -8, the square of, for example, -9, would be 81. This is greater than 64, so this works!

Now, B. also has an alternative. The 'or' is a major clue to which is the correct answer, since the square root of any number can be positive or negative. (-8^2 = 8^2)

The 'or' states that x must be greater than 8. So, for example, if we take the square of 10, we get 100, and that is also greater than 64.

We've proven that this solution is accurate for both parts, so it is definitely the one we want!

Hope this helps!

4 0

3 years ago

Please help ASAP! The best answer get brainliest!!

Vinvika [58]

Answer:

1. A

2. B

Hopefully this is right.

Can i have brainliest?

8 0

3 years ago

(URGENT) need answer for today​

(URGENT) need answer for today