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4 years ago

225 degrees =______(radians)

Mathematics

1 answer:

telo118 [61]4 years ago

7 0

Answer:

$\dfrac{5\pi}{4}\text{ radians}$

Step-by-step explanation:

180° = π radians

$\angle = 225^{\circ} \times \dfrac{\pi\text{ radians}}{180^{\circ}} = \mathbf{\dfrac{5\pi}{4}\textbf{ radians}} \approx \text{3.927 radians}$

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The customer help center in your company receives calls from customers who need help with some of the customized software soluti

igomit [66]

Answer: fail to reject the seven-minute average waiting time claim.

Step-by-step explanation:

As per given ,

Objective for test : the average waiting time is seven minutes or more.

Then ,

$H_0: \mu=7\\\\H_a: \mu>7$

Since alternative hypothesis is right-tailed thus the test is an right-tailed test.

In a right tailed test , the rejection area lies on the right side of the critical value.

It means that if the observed z-value is greater than the critical value then it will fall into the rejection region other wise not.

i.e. If the value of your test statistic is less than the critical value, the correct decision is we fail to reject null hypothesis.

i.e. fail to reject the seven-minute average waiting time claim.

The complete statement would become:

If the value of your test statistic is less than the critical value, the correct decision is to fail to reject the seven-minute average waiting time claim.

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3 years ago

If A=(0,0) and B=(8,2), what is the length of AB

NeX [460]

Answer:

$\boxed{\sf Distance_{AB}= 8.24 \ units }$

Step-by-step explanation:

Here two points are given to us and we need to find the distance between the two points . The given points are , A(0,0) and B(8,2) . The distance between the two points can be found out using the Distance Formula , which is ,

Distance Formula:-

$\sf\implies \green{ Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}}$

Therefore on substituting the respective values ,we can find the Distance as ,

$\sf\longrightarrow Distance = \sqrt{ ( 0 - 8)^2 + (0-2)^2}$

Simplify the brackets ,

$\sf\longrightarrow Distance =\sqrt{ (-8)^2+(-2)^2}$

Square the numbers inside the squareroot ,

$\sf\longrightarrow Distance =\sqrt{ 64 + 4}$

Add the numbers inside the squareroot ,

$\sf\longrightarrow Distance = \sqrt{68}$

Find the value of squareroot,

$\sf\longrightarrow \boxed{\blue{\sf Distance = 8.24 \ units }}$

Hence the distance between the two points is 8.24 units .

3 0

3 years ago

How do I evaluate |4/18| ?

marysya [2.9K]

Answer:

Step-by-step explanation:

Note*

To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations. To evaluate, substitute 3 for x in the expression, and then simplify.

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3 years ago

A rectangle has vertices at A(4,1), B(1,1), C(1,-6), and D(4,-6). What is the area of the rectangle?

slamgirl [31]

using the given coordinates, the rectangle is 7 by 3 units

area = 7*3 = 21 square units

8 0

3 years ago

Read 2 more answers

The sum of two consecutive integers is 157. Find the smallest integer.

omeli [17]

Answer:

Hi there!

Your answer is:

The smallest integer is equal to 78

Step-by-step explanation:

x, x+1

x+x+1 = 157

2x+1 = 157

-1

2x= 156

x= 78

The numbers are:

Smallast integer: 78

Larger integer: 78+1 = 79

8 0

3 years ago