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Lostsunrise [7]
3 years ago
15

The scatter plot below represents the number of runners in a famous city race. The years are tracked beginning in 2001 estimate

the equation for the line of best fit

Mathematics
1 answer:
Helga [31]3 years ago
7 0
2-69+2=69 420 ya digggggggggg
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Can someone help solve both of these? ASAP
zhuklara [117]

<u>Question 4</u>

<u />\sin 30^{\circ}=\frac{y}{14\sqrt{3}}\\\\\frac{1}{2}=\frac{y}{14\sqrt{3}}\\\\\boxed{y=7\sqrt{3}}\\\\\\\\\cos 30^{\circ}=\frac{x}{14\sqrt{3}}\\\\\frac{\sqrt{3}}{2}=\frac{x}{14\sqrt{3}}\\\\\boxed{x=21}

<u>Question 5</u>

<u />\cos 45^{\circ}=\frac{x}{28}\\\\\frac{1}{\sqrt{2}}=\frac{x}{28}\\\\x=\frac{28}{\sqrt{2}}\\\\\boxed{x=14\sqrt{2}}\\\\\\\\\sin 45^{\circ}=\frac{y}{28}\\\\\frac{1}{\sqrt{2}}=\frac{y}{28}\\\\y=\frac{28}{\sqrt{2}}\\\\\boxed{y=14\sqrt{2}}

7 0
2 years ago
Scott sets up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 12 feet high. To
Assoli18 [71]

Answer:

Length of the rope = 15.6 ft.

Step-by-step explanation:

Given:

Height of the pole from the ground = 12 ft

Adjacent distance from the pole = 10 ft

We have to find the length of the rope attached by Scott to secure the pole.

According to the question :

In forma  right angled triangle as shown in the figure.

We have to find the measure of the hypotenuse.

Length of rope = Hypotenuse measure

Let the length of the rope = "h" ft

Using Pythagoras formula.

⇒ (hypotenuse)=\sqrt{opposite^2+ adjacent^2}

⇒ Plugging the values.

⇒ h=\sqrt{12^2 + 10^2}

⇒ h=\sqrt{144 + 100}

⇒ h=\sqrt{244}

⇒ h=15.62 ft

The length of the rope, rounded to the nearest tenth is 15.6 ft.

6 0
3 years ago
Assuming you are creating a book with 991 pages with a size of 8.5in x 11in, how many words will the story be?
KiRa [710]

This question is solved using proportions, as the table gives us the number of words per page given the dimensions, and the number of pages, which lets us calculate the number of words.

Doing this, we get that the story will be composed of 792,800 words.

-------------------------------------------

  • According to the table, pages of dimensions 8.5in x 11in have 800 words.
  • The book has 991 pages, of 8.5in x 11in dimensions.

Thus, considering that there will be 991 pages, each with 800 words, the total number of words in the story will be of:

991 \times 800 = 792,800

The story will be composed of 792,800 words.

A similar question is given at brainly.com/question/19905617

7 0
3 years ago
Which expression represents the total cost for ari to rent a bike for b hours and Meg to rent scooter for s hours. STOP DELETING
horsena [70]

Answer:

(b*amount of money per hour) + (s*amount of money per hour).

Step-by-step explanation:

4 0
3 years ago
1. Suppose a and b are real numbers where a &gt; 0 and b &lt; 0.
Nat2105 [25]

a) –a + b is negative

b) a – b is positive

c) b-a is negative

Step-by-step explanation:

1. Suppose a and b are real numbers where a > 0 and b < 0.

a. Is –a + b positive or negative. Explain how you know.

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

–a + b

= -(6)+(-5) = -6-5 = -11

So, –a + b is negative

b. Is a – b positive or negative? Explain how you know.

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

a - b

=6-(-5) = 6+5 = 11

So, a – b is positive

c. Is b – a positive or negative. Explain how you know

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

b-a

=(-5)-(6)

= -5-6

= -11

So, b-a is negative

Keywords: Solving Integers:

Learn more about solving integers at:

  • brainly.com/question/5496711
  • brainly.com/question/11549940
  • brainly.com/question/11334714

#learnwithBrainly

3 0
3 years ago
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