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ludmilkaskok [199]
3 years ago
9

Pythogorean theorem ​

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

Answer:

x = 48

Step-by-step explanation:

RULE:

a^2 + b^2 = c^2

1. x^2 + 36^2 = 60^2

2. x^2 + 1296 = 3600

3. subtract 1296 on both side of the equation.

4. x^2 = 2304

5. square root it.

6. \sqrt[]{x^2} =  \sqrt[]{2304}

7. x = 48

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HELPPP MEEEE hurrryyyy
Zielflug [23.3K]

Answer: 1. B 10(15  12 + 8) = 350

2. C

Step-by-step explanation:

8 0
3 years ago
Sam deposits $1,000 into an account that pays 6% simple interest annually. He plans to take the money out after 3.5 years. What
lara31 [8.8K]
Well, the formula for simple interest is 

I=prt

"I" is interest, "p" is the principal, "r" is the rate, and "t" is the time.

If you substitute the numbers, you get

I=1,000(0.06)(3.5)

When you multiply them together, you get 

I=210

So, the simple interest for 3.5 years is $210.

But, in order to get the total balance, you have to add the interest and the principal together.

B=1000+210 \\ B=1210

So, the balance after 3.5 years is $1,210.
5 0
3 years ago
Read 2 more answers
The weights of a certain dog breed are approximately normally distributed with a mean of μ = 55 pounds, and a standard deviation
weqwewe [10]

Answer:

(a)z=-1

(b)48.5 pounds

(c)61.5 pounds

Step-by-step explanation:

z-score=\dfrac{x-\mu}{\sigma}

Given:

Mean, μ = 55 pounds

Standard deviation,σ = 6 pounds.

(a)For a dog that weighs 49 pounds.

x=49 pounds

The z-score

=\dfrac{49-55}{6}\\=\dfrac{-6}{6}\\\\=-1

(b)When a dog has a z-score of -1.09

-1.09=\dfrac{x-55}{6}\\x-55=-6.54\\x=55-6.54\\x=48.46 \approx 48.5$ pounds (to the nearest tenth)

The weight of a dog with a z-score of -1.09 is 48.5 pounds.

(c)When a dog has a z-score of 1.09

1.09=\dfrac{x-55}{6}\\x-55=6.54\\x=55+6.54\\x=61.54 \approx 61.5$ pounds (to the nearest tenth)

The weight of a dog with a z-score of 1.09 is 61.5 pounds.

3 0
3 years ago
What is the equation of the following line? Be sure to scroll down first to see
sweet [91]
The answer is Y=3/4x
4 0
3 years ago
Triangle XYZ has vertices X(–1, –3), Y(0, 0), and Z(1, –3). Malik rotated the triangle 90° clockwise about the origin. What is t
OLga [1]

Answer:

Option D.

Step-by-step explanation:

It is given that triangle XYZ has vertices X(–1, –3), Y(0, 0), and Z(1, –3).

Malik rotated the triangle 90° clockwise about the origin. So, rule of rotation is

(x,y)\to (y,-x)

Now,

X(-1,-3)\to X'(-3,-(-1))=X'(-3,1)

Y(0,0)\to Y'(0,0)

Z(1,-3)\to Z'(-3,-(1))=Z'(-3,-1)

The image points are X’(–3, 1), Y’(0, 0), Z’(–3, –1).

Therefore, the correct option is D.

6 0
3 years ago
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