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Reptile [31]
3 years ago
10

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:

(c) 43.

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
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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
Read 2 more answers
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