The volume of one of the Great Lakes is 3.5 × 103 cubic kilometers. If there are 6.3 × 107 fish in the lake, what is the average number of fish per cubic kilometer?
A.
2.205 × 1011
B.
1.8 × 104
C.
1.8 × 1010
D.
2.205 × 104

just add you the numbers and you will get the answer

Here is the full question:

Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.

Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.

Which equation correctly use the value of x to represents the cosine of angle A?

cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answer:

cos(53°) = StartFraction y Over 5 EndFraction

Step-by-step explanation:

From the information above:

The sketch of the triangle is drawn and attached in the diagram below.

To find x using the sine rule,

We know that:

[tex]Sin \theta = \dfrac{opposite}{hypothenuse}[/tex]

∴

[tex]Sin (53^0) = \dfrac{4}{x}[/tex]

Making x the subject of the formula:

[tex]x = \dfrac{4}{Sin \ 53^0}[/tex]

[tex]x = \dfrac{4}{0.7986}[/tex]

[tex]x \simeq 5[/tex]

Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.

Recall that:

[tex]Cos \theta = \dfrac{adjacent}{hypothenuse}[/tex]

[tex]Cos \ 53^0 = \dfrac{y}{x}[/tex]

where; x = 5

[tex]Cos \ 53^0 = \dfrac{y}{5}[/tex]

Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:

cos(53°) = StartFraction y Over 5 EndFraction

Answer:

simple answer B

Step-by-step explanation:

Answer:

its 70 its a trick question

Step-by-step explanation:

1/3 because the slope triangle goes over three and up one and it is rise over run.

Answer:

1/3

Step-by-step explanation:

rise over run- the line goes up one and over three everytime it perfectly intersects a sport on the graph

Answer:

B

Step-by-step explanation:

It ain't no step to dat

Answer:

x = -1 + 2i

Hope this helps:)

Answer:

ummm there is no chart or multiple choice so imma go off a limb here and say  1/2 mile

hope this helps

sorry if its wrong i had no chart

Step-by-step explanation:

Answer:

2 miles

Step-by-step explanation:

he walks to to maple avenue to meet his friend is a mile,so to continue his walk on maple avenue to the park is another mile.

Answer:

6 and 10

Step-by-step explanation:

Let a = the first number(3/5 of the second number namely b)

Let b = the number that is 5/3 of a

a=3/5 b

Assuming they are both positive integers, obviously you will have to add 4 to a.

4+a = b

4 + 3/5 b = b

2/5 b = 4

b = 10

a=6

ONLY ASSUMING IF THEY ARE BOTH POSITIVE INTEGERS

Answer:

Combine Like Terms:

=1728+−9x^2+−4x+3

=(−9x^2)+(−4x)+(1728+3)

= −9x^2+−4x+1731

Answer:

y-8

Step-by-step explanation:

count from point b to b'

Answer: y - 8

Step-by-step explanation:

Point A prime is 8 units below Point A, as goes for each of the other corresponding point pairs. (B and B prime, C and C prime)

9514 1404 393

Answer:

  a) y +2 = (4/3)(x -3)

  b) 4x -3y = 18

Step-by-step explanation:

a) The slope formula gives part of what is needed for point-slope form:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -(-2))/(6 -3) = 4/3

Point-slope form is ...

  y -k = m(x -h) . . . . . . for slope m and point (h, k)

Using the first point, we get ...

  y +2 = 4/3(x -3)

__

b) Multiplying by 3 and eliminating parentheses, we get ...

  3(y +2) = 4(x -3)

  3y +6 = 4x -12

Adding 12 -3y to both sides gives ...

  18 = 4x -3y

Putting this in the usual form, we have ...

  4x -3y = 18

Answer:

x1= - 8/3 , x2= 8/3

Step-by-step explanation:

Answer:

It would be

6

4

1

5

3

2

Step-by-step explanation:

The first one would equal 7

The second one would equal 10

the third one would equal 9

The fourth one would equal 6

The fifth would equal 8

ANd the sixth would equal 3

Order / Least To Greatest:  2, 6, 4, 1, 3, 5

Step-by-step explanation:

Answer:

C, "The small crowd of protesters had turned into an angry mob".

Step-by-step explanation:

A and B are 1st person point of view because of "we" and "our". D is 2nd person point of view because of "your".

Answer:

c. The small crowd of protesters had turned into an angry mob.

Point of view is a way the voice sounds.

1st person uses: I, we, she, he, her, my. (it sounds like you are in their head.)

2nd person uses: you, your. (it sounds like the narrator is talking directly to you.)

3rd person uses: they, them he, her. (it sounds like someone is watching the story happening and is telling it from an outside point of view.

1st: My friends and I can't wait until Christmas.

2nd: You and your friends can't wait until Christmas.

3rd: Macy and her friends can't wait until Christmas.

Answer:

As one of the zeros of polynomial is 0, then (x-0) =x is a factor of given polynomial.

Since x is a factor , d= 0

ax^3+bx^2+cx+d = ax^3+bx^2+cx

= x(ax^2+bx+c)

Other two roots are roots of

ax^2+bx+c = 0

For a quadratic equation ax^2+bx+c = 0

Product of roots = c/a

Sum of roots = -b/a

So

Product of other two roots = c/a

Hope this helps :D

Answer:

21.98

Step-by-step explanation:

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 4

y = -x + 5

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

1.6962 = 1.70 (2 dp)

0.4247 = 0.425 to 3 dp

0.007395 = 0.007 to 3 dp

0.007395 = 0.0074 to 4 dp

32549 = 32500 to 3 significant figures

32549 = 32550 to 4 significant figures

909520 = 910000 to 3 significant figures

909520 = 909500 to 4 significant figures

Step-by-step explanation:

1.6962 = 1.70 (2 dp)

0.4247 = 0.425 to 3 dp

0.007395 = 0.007 to 3 dp

0.007395 = 0.0074 to 4 dp

32549 = 32500 to 3 significant figures

32549 = 32550 to 4 significant figures

909520 = 910000 to 3 significant figures

909520 = 909500 to 4 significant figures

Answer:

.5

Step-by-step explanation:

Answer:

The 32-ounce box

Step-by-step explanation:

The 16-ounce box costs $3.20 for every 16 ounces, but the 32-ounce box costs $3.12 for every 16 ounces. That means the 32-ounce box is a better deal by 8 cents.

Answer:

the big box is a better buy

Step-by-step explanation:

we have

$3.20 for 16ounce

and notice 32 is duble of 16 so to be equal price will be

$6.40 for 32ounce

yet is not is

$6.24 for 32ounce so the big box is less expensive

Answer:

x = -3

Step-by-step explanation:

System of equations has been given as,

y = 2x + 8

y = [tex]-\frac{2}{3}x[/tex]

Since, solution of the system of equations is the point of intersection on the graph.

Therefore, point of intersection or solution of the system will be,

(x, y) = (-3, 2)

This common point will satisfy both the equations.

And x = -3 will also both the equations.  

Answer:

A.2.4 pounds

B.7 oranges

Step-by-step explanation:

Answer:

all answers are true I think

Answer:

No solution

Step-by-step explanation:

-(4x - 7) + 1 = 2(5 - 2x)

-4x + 7 + 1 = 10 - 4x

-4x + 8 = 10 - 4x

-4x + 8 ≠ -4x + 10

No solution

Answer:

y = 2x + 1

Step-by-step explanation:

formula for equation of graph:

[tex]y = mx + c[/tex]

substitute m = 2 and c = 1 into the equation

[tex]y = 2x + 1[/tex]

Step-by-step explanation:

please see it my step work solution

Answer:

B = 70

Step-by-step explanation:

Answer:70

Step-by-step explanation:

Answer:

-2x^3 - 3x^2 -8x + 4 should be added

Step-by-step explanation:

Here, we want to know what should be added to the expression to get 0

What we should do in this case is to simply negate the values we have in the expression already

Adding the negated values will give 0

So, we have that;

-2x^3 - 3x^2 -8x + 4

Answer:

circumference

Step-by-step explanation:

Answer:

C.) -3/2

Step-by-step explanation:

To find the slope you need to use the formula: m = y2 - y1/x2 - x1

Point: (-2,1) and (2,-5)

m = y2 - y1/x2 - x1

m = -5 - 1/2 - (-2)

m = -6/2 + 2

m = -6/4

m = -3/2