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Marc plans to create a model of the solar system for his school’s science fair. He knows the solar system includes many celestial bodies.

Which statement identifies a possible limitation of this model?

A. The model will be supported with scientific evidence.
B. The model will include all planets of the solar system.
C. The model will be used to predict planet distances and sizes.
D. The model will oversimplify what the solar system looks like.

Answer:

2 digits in the quotient are overlined

Answer:

The firefighter should extend the ladder at 54° of elevation.

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

Tangent Ratio:

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

The woman is trapped at 91 feet up from the ground, and the firetruck is 67 feet away from the building.

The wall, the ground, and the ladder form a right triangle, where θ is the horizontal angle of the ladder.

Being the height of the woman the opposite leg and the distance where the firetruck is parked, the adjacent leg:

[tex]\displaystyle \tan\theta=\frac{91}{67}=1.3582[/tex]

The angle is calculated as the inverse tangent:

[tex]\theta=arctan(1.3582)\approx 54^\circ[/tex]

The firefighter should extend the ladder at 54° of elevation.

Answer:

3 gallons

Step-by-step explanation:

2 - 1 + 2 = 3

=============================================

Work Shown:

(2a^2+b)(3a-3b)

c(3a-3b)  ..... let c = 2a^2+b

3ac-3bc  .... distribute

3a(c)-3b(c)

3a(2a^2+b)-3b(2a^2+b)  .... plug in c = 2a^2+b

3a(2a^2)+3a(b)-3b(2a^2)-3b(b)  ... distribute

6a^3+3ab-6a^2b-3b^2

6a^3-6a^2b+3ab-3b^2

You could also use the FOIL rule to get the same result. The box method is a visual way to keep track of the terms.

Answer: No

Step-by-step explanation: Since y=2x+1 does not pass through the origin (i.e. there exists the constant term of 1 ), the variables y and x are not directly proportional - though, they do have a linear relationship.

Answer:

D.

Step-by-step explanation:

115x + 170 = 630

Subtract 170 from each side of the equals,

115x = 460

Divide 460 by 115,

4

Thus, D is your correct answer.

Answered by:

matthewarvin06

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Answer:

the answer is [tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

Answer:

Options (5) and (6)

Step-by-step explanation:

From the picture attached,

In right triangle ΔPSQ and ΔPSR,

PS ≅ PS [By reflexive property]

PQ ≅ PR [Given]

ΔPSQ ≅ ΔPSR [By HL property of congruence]

Therefore, QS ≅ SR [CPCTC]

(6n + 3) = (4n + 11)

6n - 4n = 11 - 3

2n = 8

n = 4

QS = (6n + 3)

     = 6×4 + 3

     = 27

SR = (4n + 11)

     = 4×4 + 11

     = 16 + 11

     = 27

QR = QS + SR

     = 27 + 27

     = 54

Therefore, Options (5) and (6) are the correct options.

Step-by-step explanation:

4rhdhhdjddibdjdbdjd

Answer:

where is the table??? pls send it

Answer:

15

Step-by-step explanation:

Answer:

1) is arithmetic (because your adding 10)

2) is not arithmetic

3) is arithmetic ( because your adding 10)

Step-by-step explanation:

Answer:jkkjjkj098765

Step-by-step explanation:

iuytrfdghyui8

Answer:

[tex]m=3[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-5, 7)

Point (-7, 1)

Step 2: Find slope m

And we have our final answer!

Answer:

c

Step-by-step explanation:

16 divided by 4 equals 4

Answer:

B. 1/4

Step-by-step explanation:

4 divided by 16 is 0.25 which is 1/4

Answer:

24

Step-by-step explanation:

If f is equal to 7, you'd multiply 7 by 2 (following pemdas/gemdas). When you multiply those two numbers, you get 14. If you add 8 to 14 you get 24.

The answer to this question is B, No solution

Answer: 82.555

Step-by-step explanation: I used a calculator

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Read the words down to the point where it says "graph this equation." Then, it's not a word problem anymore—it's a problem of graphing the given equation.

  c = 2t +8

The "y-intercept" is the value of "y" when t=0. It is 8. This is the cost of a pizza with 0 toppings.

The slope is the coefficient of t. It is 2. This is the increase in the cost of a pizza when 1 topping is added. The slope is the cost of a topping.

__

Be aware that the grid on this graph shows squares, but the vertical dimension of the square is $2 while the horizontal dimension is 1 topping. That is, a line with a slope of 2 will lie on the diagonal of a grid square.

_____

Additional comment

We call the point where the graph crosses the vertical axis the "y-intercept." It is called that here, even though "y" is not in the equation or on the graph anywhere. It should rightfully be called the "c-intercept", since the vertical axis shows the value of c, the cost of the pizza.

Answer:

Obtuse

Step-by-step explanation:

because 121

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[tex]b. {b}^{m} = {b}^{1 + m} [/tex]

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Answer:

92,00=9.2*10^4

109,000=1.09*10^5

4,673=4.673*10^3

0.00087=8.7*10^-4

0.0235=2.35*10^-2

Step-by-step explanation:

Answer:

3.2ft long shadow

Step-by-step explanation:

In this problem we are given a ratio between the tree/shadow and woman/shadow therefore we are given 3 values and 1 unknown then we can use the Rule of Three to calculate the length of the shadow which we will refer to as x. The Rule of Three simply multiplies the diagonal values and divides by the third value in order to get the missing unknown like so...

55ft tall  <======>  32ft long shadow

5.5ft tall   <======>  x ft long shadow

(5.5 * 32) / 55 =  3.2ft long shadow

Finally, we can see that the woman's shadow would be a 3.2ft long shadow

Answer:

g=3

Step-by-step explanation:

5g+6=2g+15

3g=9

g=3

Answer:

it is -5

Step-by-step explanation:

Answer:

Correct Answer = -5

Step-by-step explanation:

Answer: Yes

This graph passes the vertical line test. This is a test where we try to draw a single vertical line through more than one point on the curve. In this case, such a thing is not possible. Any input x leads to exactly one output y. This graph is a function.

Answer:

7.99

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x² + 3x

x = 1.7

Step 2: Solve

Answer:

D.) y-4=3[(x-(-1)]

Step-by-step explanation:

just took the test hope this helps

Answer:

Winners:Losers

2:9

Step-by-step explanation:

Winners:Losers

6:27

[÷3]

2:9

Answer:

Ratio  2:9

Step-by-step explanation:

For every 27 winner there are 6 people who win

For every 6 people who win 27 people do not win

So the ratio is 6:27  This can be simplified by dividing by 3

  Ratio 2:9

Answer:

yes

Step-by-step explanation:

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