All categories

2 years ago

10 PTS! PYTHAGOREAN THEOREM!

Mathematics

1 answer:

Sever21 [200]2 years ago

7 0

Answer: 9.32

Explanation:

25² + BC² = 30²

BC² = 30² - 25²

BC² = 275

BC = 5√11

25² + BD² = 36²

BD² = 36² - 25²

BD² = 671

BD = √671

x = √671 - 5√11

x = 9.32

You might be interested in

You can buy 5 cans for green beans at the village market for 3.70. You can buy 10 of the same cans of beans at sams club for 4.1

il63 [147K]

the rate for 5 cans for $3.70 is 0.74

the rate for 10 cans for $4.10 is 0.41

so the better buy is 10 cans for $4.10 at sams

4 0

2 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

Help me get the answer

Tema [17]

If your looking for slope Intercept form. y = 2/3x + 6.67. and
y = 2x + 4

I think

3 0

2 years ago

A rational number can be written as the ratio of one blank to another and be represented by a repeating or blank decimal. What a

Makovka662 [10]

The answer is a rational number is one integer divided by another, and can be represented in either decimal of fraction form. The explanation behind this is visualize you are using long division to divide one number by one more. You divide, and then you acquire a remainder. Then you carry down a zero (multiply by ten) and divide again. Well, there are only so many balances you could perhaps have. For example, for 5, your choices are 0, 1, 2, 3, and 4. Sooner or later, you will replicate a remainder, at which fact you will just keep dividing the same method you did last time you saw that remainder -- and that's the reason why it repeats.

4 0

3 years ago

Find the unit rate 180 miles in 4 hours = miles per hour

Andrei [34K]

Answer:

= 45 miles per hour

Step-by-step explanation:

First, we want a unit rate where 1 is in the denominator.

So we divide,

180 miles/ 4 hours both ÷ by 4

= 45 miles/ 1 hour

= 45 miles/ hour

= 45 miles per hour

5 0

2 years ago