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4 years ago

Brainers, please help me out. Thanks

Mathematics

1 answer:

quester [9]4 years ago

6 0

The Pythagorean Theorem is a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse.

From the picture you have a = 10 and c = 15.

Now you have:

10^2 + b^2 = 15^2

Simplify:

100 + b^2 = 225

Subtract 100 from both sides:

b^2 = 125

Take the square root of both sides:

b = √125

b = 11.2

You might be interested in

Complete the square to factor X^2 +10X=-8

ella [17]

Answer: $x=\sqrt{17}-5$ and $x = -\sqrt{17}-5$

Step-by-step explanation:

Alright, lets get started.

The given equation is :

$x^{2} +10x = -8$

Adding 8 in both sides, it will become

$x^{2} +10x + 8 = -8 +8$

$x^{2} +10x + 8 = 0$

To make it perfect square, we need to add 25 and subtract 25

$x^{2} +10x + 8 +25-25= 0$

$x^2+10x+25+8-25=0$

$(x+5)^2+8-25=0$

$(x+5)^2-17=0$

Adding 17 in both sides

$(x+5)^2=17$

taking square root

$x+5=\sqrt{17}$

So,

$x=\sqrt{17}-5$ and $x = -\sqrt{17}-5$ .. Answer

Hope it will help :)

7 0

3 years ago

Read 2 more answers

The number of chocolate chips in an 18-ounce bag of Chips Ahoy! chocolate chip cookies is approximately normally distributed wit

sineoko [7]

Answer:

a) 0.013

b) 0.7

c) 0.866

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1262

Standard Deviation, σ = 118

We are given that the distribution of number of chocolate chips is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(fewer than 1000 chocolate chips)

P(x < 1000)

$P( x < 1000) = P( z < \displaystyle\frac{1000 - 1262}{118}) = P(z < -2.220)$

Calculation the value from standard normal z table, we have,

$P(x < 1000) = 0.013 = 1.3\%$

b) P(contains more than 1200 chocolate chips)

$P(x > 1200) = P(z > \displaystyle\frac{1200-1262}{118}) = P(z > -0.5254)\\\\P( z > -0.5254) = 1 - P(z \leq -0.5254)$

Calculating the value from the standard normal table we have,

$1 - 0.300 = 0.7 = 70\%\\P( x > 1200) = 0.7$

c)P(contains between 1000 and 1400 chocolate chips)

$P(1000 \leq x \leq 1400) = P(\displaystyle\frac{1000 - 1262}{118} \leq z \leq \displaystyle\frac{1400-1262}{118}) = P(-2.22 \leq z \leq 1.169)\\\\= P(z \leq 1.169) - P(z < -2.22)\\= 0.879 - 0.013 = 0.866 = 86.6\%$

$P(1000 \leq x \leq 1400) = 86.6\%$

6 0

3 years ago

Solve the proportion 3/4 = 12/y y=

NikAS [45]

Answer:

y= 16

Step-by-step explanation:

For numerator 3 to become 12, the numerator and denominator must be multiplied by 4. 3x4=12 and 4x4=16. this claim is correct since 3/4 = 12/16. Taking this into consideration the value of Y is the same as the value of the second denominator.

4 0

3 years ago

Read 2 more answers

Martin was making play dough. He added 3/4 cup of flour to the bowl. Then he added another 3/8 cup. Is the total amount of flour

Sergio039 [100]

Answer:

It's greater then one cup

Step-by-step explanation:

Hope it helps :)

Have a good day/night

Brainliest pls?

6 0