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Cerrena [4.2K]
3 years ago
11

Write each number in scientific notation. 5,210,000,000 -0.00000006893

Mathematics
2 answers:
RoseWind [281]3 years ago
8 0
5.21x10^9 and 6.89.3x10^-10
soldier1979 [14.2K]3 years ago
8 0
5.21 x 10^9

6.893 x 10^-8
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ΔABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C?
kotykmax [81]

Answer:

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

Step-by-step explanation:

To find the cos (C) we must use the cosine theorem.

The cosine theorem says that:

c^2 = a^2 +b^2 -2abcos(C)

In this case:

c=AB = 9

b=CA = 41

a=BC = 40

So

9^2 = 40^2 +41^2 -2(40)*(41)cos(C)

9^2- 40^2- 41^2 =-2(40)*(41)cos(C)

cos(C) = -\frac{9^2- 40^2- 41^2}{2(40)*(41)}

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

7 0
3 years ago
Which biconditional is not a good definition?
Xelga [282]
<span>The <u>correct answers</u> are:

A ray is a bisector of an angle if and only if it splits the angle into two angles; and
A) I can afford to buy a ticket.

Explanation<span>:

For the first question, the first three answers are very specific and true:

A whole number is odd if it is not divisible by 2, and a number is not divisible by 2 if it is odd;
an angle is straight if its measure is 180 degrees, and the measure of an angle is 180 degrees if it is a straight angle;
a whole number is even if it is divisible by 2, and a number is divisible by 2 if it is even.

However, with the fourth choice, we are missing a key word in the definition. A ray is a bisector of an angle if and only if it splits the angle into two <u>CONGRUENT</u> angles. It is not just a ray that cuts an angle into two pieces, the pieces must be equal.

For the second question, the Law of Detachment says if our conditional "if p, then q" is true and p is true, then q must also be true.

For this question, "I can go to the concert if I can afford to buy a ticket" is true as well as "I can go to the concert." This means "I can afford to buy a ticket" must be true as well.</span></span>
4 0
3 years ago
the martin want to buy a new computer. the regular price is $632 . the store is offering a 25% discount and a sales tax of 7% is
lisov135 [29]

Answer:

440.82

Step-by-step explanation:


5 0
4 years ago
Read 2 more answers
Leila is buying a dinosaur model. The price of the model is xxx dollars, and she also has to pay a 7\%7%7, percent tax.
svlad2 [7]

Answer:

Leila is buying a dinosaur model. The price of the model is xxx dollars, and she also has to pay a 7\%7%7, percent tax.

Which of the following expressions could represent how much Leila pays in total for the model?

Step-by-step explanation:

The original price of the dinosaur model is "x" dollars

On top of that, the sales tax is 7% of the original price

Hence,

The total price would be the original amount PLUS the taxed amount

Original Amount = x

Taxed Amount = 7% of x

That is, 7% in decimal multiplied with "x".

7/100 = 0.07

0.07 * x = 0.07x

Total amount = x + 0.07x = 1.07x

The expression for total amount is 1.07x

0 0
3 years ago
Read 2 more answers
A small box measures 7 in. by 10 in. by <br> 3/4 in. high. Find the volume of the box.
vitfil [10]

Answer:

Volume = 52.5

Step-by-step explanation:

volume of a rectangular 3d shape can be calculated by length*width*height. In this case:

7*10*0.75 = 52.5

8 0
3 years ago
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