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2 years ago

509 х Z 45° 529 In the figure, x= and z=

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

8 0

Answer:

x = 95°

y = 147°

z = 128°

Step-by-step explanation:

∡x is the sum of 50 and 45, deducted from 180

∡y = 95 + 52, deducted from 180

∡z = 180 - 52

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kelly is using a bucket to fill up a barrel with water from a well. The barrel holds 25.5 liters.the bucket holds 800 millileter

SVEN [57.7K]

To determine how much of the barrel is left to fill, you must subtract the amount of water already in it from the total mass of the bucket.

25.5 - 5.2 = 20.3 Litres

In order to the fill the entire barrel, Kelly must collect 20.3 Litres of water. You must then covert the measurement from litres to millilitres so that the bucket and barrel are measured in the same units.

20.3L = 20300mL

You must then divide the amount of space left by the mass of the bucket. This will determine the least number of buckets needed to fill the barrel.

20300 <span>÷ 800 = 25.375

That means the you would have to do a minimum on 25.375 buckets to fill the barrel, or 26.

Hope this helps :) </span>

6 0

3 years ago

Solve this. Please and thank you.

Cerrena [4.2K]

The answer is d) -3/2=x

8 0

2 years ago

What is the balance after 15 years in a savings account that earns 2% interest compounded bimonthly when the initial deposit is

motikmotik

The amount will be equal to $1348.07. The correct option is A.

<h3>What is compound interest?</h3>

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

$\rm A = P(1+\dfrac{r}{n})^{nt}$

Compound Interest Formula:

A = Account Balance

P = Principle/Initial Amount

r = Rate of Interest (decimal)

n = Number of times compounded (per year)

t = Number of Years

Given Information

Account Balance = ?

It is given that the balance after 15 years in a savings account earns 2% interest compounded bi-monthly when the initial deposit is 1000.

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

Number of years = 15

Solve by plugging the given values into the formula.

$\rm A = P(1+\dfrac{r}{n})^{nt}$

$\rm A = 1000(1+\dfrac{0.02}{6})^{6 \times 15}$

A = 1000 x (1.14)

A = $1348.07.

Therefore, the amount will be equal to $1348.07. The correct option is A.

To know more about Compound interest follow

brainly.com/question/24924853

#SPJ1

3 0

1 year ago

(1) Calculate the circumference of the<br>circles below in terms of π

Mademuasel [1]

Answer:12.57

Step-by-step explanation:

C=2πr

=2·π·2

=12.56637

3 0

3 years ago

Read 2 more answers

It is known that the length of time that people wait for a city bus to arrive is right skewed with mean 6 minutes and standard d

Natali [406]

Answer:

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30. Otherwise, the mean and the standard deviations holds, but the distribution will not be approximately normal.

Standard deviation 4 minutes.

This means that $\sigma = 4$

A sample of 25 wait times is randomly selected.

This means that $n = 25$

What is the standard deviation of the sampling distribution of the sample wait times?

$s = \frac{4}{\sqrt{25}} = 0.8$

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

4 0

2 years ago