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3 years ago

The vertices of a triangle are

Mathematics

1 answer:

Katen [24]3 years ago

8 0

Answer: (4,-5)

Step-by-step explanation:

The rule for a rotation by 180°

180°

about the origin is (x,y)→(−x,−y)

A (-4,5) (4,-5)

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Find the sample size necessary in order to be 95% confident when determining the true mean weight within 2 units (EC2). Assume t

bogdanovich [222]

Answer:

Step-by-step explanation:

Given:

Margin of error (E) = 2

Sample variance $(s^{2})$ = 44

Confidence level = 95%

The z- value at 95% confidence level is 1.96.

The sample using the provided information can be calculated as:

$n=(\frac{z(s)}{E})^{2} \\n=\frac{z^{2} s^{2} }{E^{2} } \\n=\frac{1.96^{2} (44) }{2^{2} }\\n= 42.52\\n=43$

Hence, the correct option is (c) 43.

8 0

4 years ago

Lucas invests $12,500 in an account that earns 6.2% compound interest if Lucas does not make any additional deposits or withdraw

kow [346]

Assuming it is compounded monthly, Lucas will have $28,128,737.86 in his account after 16 months.

3 0

3 years ago

A lab technician has to fill the tank given below. <br> Find it’s volume .

wel

Answer:

The volume of the cylinder shown in the figure is 628 cube meters

Step-by-step explanation:

Given figure is about cylinder

The height of the cylinder = h = 8 meters

The radius of the base of cylinder = r = 5 meters

Now, let The volume of cylinder = V m³

So, The volume of cylinder is given as V = $\pi$ ×r²×h

where r is the radius of its base

And h is the height of cylinder

The value of $\pi$ = 3.14

So, V = $\pi$ × r² × h

Or, V = 3.14 × (5)² × 8

Or, V = 3.14 × 25 × 8

or, V = 628 m³

So, The volume of cylinder = V = 628 m³

Hence The volume of the cylinder shown in the figure is 628 cube meters Answer

6 0

4 years ago

Please help ASAP ! Find the sine ratio of angle (-)

Tresset [83]

Answer:
sin(-)=perpendicular/hypotenuse
Sin(-)=AB/BC
Because AB is the perpendicular with reference to angle (-) and BC the hypotenuse since the right angle is facing towards it.Then,
Sin(-)=4/5

7 0

4 years ago

Find the interest due on $600 at 9.5% for 120 days.

KATRIN_1 [288]

Answer:

Interest= $ 18.73

Step-by-step explanation:

Given : $600 at 9.5% for 120 days

To find : Find the interest due

Solution :

Simple interest formula $I=P\times r\times t$

Principle(P)=$600 , rate(r)=9.5%=0.095 , time (t)= 120 days

In years, 1 year = 365 days

1 day = $\frac{1}{365}$ year

120 days = $\frac{120}{365}$ year

Put values in the formula

$I=P\times r\times t$

$I=600\times 0.095\times\frac{120}{365}$

$I=\frac{6840}{365}=18.73$

Therefore, Interest= $ 18.73

5 0

3 years ago

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