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3 years ago

Find the value of each variable.

Mathematics

1 answer:

sergey [27]3 years ago

7 0

X=5 and y=5 √2

In a 45 45 90 triangle

Both legs are of the same value and the hypotenuse is any leg times √2

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hile sitting in physics class one day, you begin to ponder the workings of the analog clock on the classroom wall. You notice as

PSYCHO15rus [73]

Answer:

Second hand will turn through 74π radians.

Step-by-step explanation:

There are 37 minutes left in the class. We need to find by how much angle will the second hand turn before the end of the class.

When a second hand completes one full rotation along the clock it covers 360 degrees and completes 60 seconds.

This means:

In 60 seconds, the second hand turns by 360 degrees

Since, 60 seconds = 1 minute, we can write:

In 1 minute, the second hand turns = 360 degrees

360 degrees is equal to 2π radians. So,

In 1 minute, the second hand turns = 2π radians

Multiplying both sides by 37 gives us:

In 37 minutes, the second turns = 2π radians x 37 = 74π radians

8 0

3 years ago

A sphere has a surface area of about 999 square millimeters. What is the radius, in millimeters, of the sphere

motikmotik

Given that, a sphere has a surface area of about 999 square millimeters.

Formula to find the surface area of sphere is,

S= 4πr² Where r = radius of the sphere and S= surface area.

Given S= 999 square millimeters.

So, we can write:

4πr² = 999

4 * 3.14 * r² = 999 Since, π = 3.14

12.56 *r² = 999

$r^2=\frac{999}{12.56}$ Divide each sides by 12.56.

r² = 79.53821656

r = √79.53821656 Taking square root to each sides of equation.

r = 8.918420071

So, r = 8.918 Rounded to nearest thousandth.

So, radius of the sphere is 8.918 millimeters.

Hope this helps you!

5 0

3 years ago

Zach spent 2/3 hour reading on Friday and 1 1/3 hours reading on Saturday. How much more time did he read on Saturday than on Fr

hodyreva [135]

Subtract.

1 1/3 - 2/3

Convert 1 1/3 into an improper fraction:

4/3 - 2/3

Subtract the numerators together:

2/3

So he read 2/3 more time on Saturday than on Friday.

7 0

3 years ago

Read 2 more answers

AWNERSSS FOR ALLL PLSSSSSSSS 67 pointssss

melomori [17]

Step-by-step explanation:

4) x=(z-y)/2

8) b=(d)/ac

9) x=(-z+4)/y

10) a=(c-3)b

5 0

3 years ago

Read 2 more answers

According to a study conducted in one city, 35% of adults in the city have credit card debts more than $2.000. A simple random s

BabaBlast [244]

Answer:

Binomial; \mu p=87.5, \sigma p=7.542

Step-by-step explanation:

a distribution is said be a binomial distribution iff

The probability of success of that event( let it be p) is same for every trial
each trial should have 2 outcome : p or (1-p) i.e, success or failure only.
there are fixed number of trials (n)
the trials are independent

here, the trials are obviously independent ( because, one person's debt doesn't influence the other person's)

here n=250

the probability of success(0.35) is same for every trial

(35/100=0.35 is the required p here)

$\mu_{p} =n*p=250*\frac{35}{100} =250*0.35=87.5$

[since, the formula for $\mu _{p} =n*p$ ]

$\sigma _{p} =\sqrt{n*(p)*(1-p)} = \sqrt{250*0.35*(1-0.35)} = 7.542 ( approximately)$

[since, the formula for [tex]\sigma _{p} =\sqrt{n*(p)*(1-p)}

therefore, it is Binomial; \mu p=87.5, \sigma p=7.542

4 0

3 years ago