Kevin drove for 4 hours and then stopped to eat dinner. The total distance he had driven at different time intervals is shown on the graph below.⬇️


• Using the information in the graph, determine Kevin’s average speed during these 4 hours.

• Kevin will drive for an additional 2 hours after dinner. He expects to drive 130 miles during these 2 hours, under the same driving conditions as the trip represented in the graph. Is this a reasonable expectation? Explain your answer and show your work.

Answer:

25.47, 25.09

Step-by-step explanation:

looking at only the tenths they round down to 25.

The numbers that would round off to 25 when rounded to the nearest whole number are 25.09 and 24.49.

When one is to round off to the nearest whole number, the numbers after the decimal point are to be eliminated.

To round off to the nearest whole number, if the tenth figure is equal to 5 or greater than 5, 1 would be added to the unit term, if this is not the case, zero would be added to the unit term.

When 25.09 and 24.49 are rounded off to the nearest whole number, it becomes 25

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Answer:

I don't really understand what you're asking but, m<C equals 90⁰, and i think angle A's measurement says 0⁰, so I'm guessing you have to find angle B?

Answer:

your answer is 1/10. hope this helps!

The probability that the point will be on CD will be 1/10 or 0.10.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A point is chosen at random on AK.

The distance between A and K will be 20.

Then the probability that the point will be on CD will be

The distance between C and D will be 2.

Then the total event will be

Total event = 20

The favorable event will be

Favorable event = 2

Then the probability is defined as the ratio of favorable event and total event.

P = Favorable event / Total event

P = 2 / 20

P = 1 / 10

P = 0.10

Then the probability that the point will be on CD will be 1/10 or 0.10.

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Answer:

[tex]= 3 \sqrt{ 6[/tex] + [tex]5 \sqrt{6[/tex]

[tex]= 8 \sqrt{ 6[/tex]

√54+√150

=√2×3×3×3+√2×5×5×3

=3√6+5√6

=8√6

=8×2. 44

=19. 59

Answer:

Step-by-step explanation:

[tex]5\sqrt{6}+3\sqrt{6(4)}-6\sqrt{6(9)}+\sqrt{6(25)}\\ \\ \sqrt{6}(5+3\sqrt{4}-6\sqrt{9}+\sqrt{25}\\ \\ \sqrt{6}(5+6-18+5)\\ \\ -2\sqrt{6}[/tex]

Answer:

Simplify the expression.

Exact Form:

1/4

Decimal Form:

0.25

Step-by-step explanation: If you are satisfied with my answer mark me the Brainliest!!! With A 5-star rating also saying Thanks.

Step-by-step explanation:

What equation of axis of symmetry of a parabola if its x-intercepts are 5 and -5. x = 0 is the axis of symmetry. that is the equation of the axis of symmetry because the vertex occurs when x = 0. the line passing through the vertex is the axis of symmetry.

PLS GIVE BRAINLIEST!

Hopfully, I got this right I tried hard. HAVE A WONDERFUL TUESDAY!

Answer:

d) The angles are not equal. The sides of one of the triangles changed, thereby changing its area.

Explanation:

If you look at figure 2, the triangle on top decreased in size.

Answer: p=-10

Step-by-step explanation:

0.5p=p+5

-p     -p

-0.5p=5

Multiply by -0.5 on each side

p=-10

The value of p in 0.5p=p+5 is -10.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

0.5p=p+5

Now, solving for p

For which p from Right side should be moved to left side

0.5p - p= 5

-0.5p = 5

Now, Divide both side by (-0.5)

-0.5p/ (-0.5)= 5/(-0.5)

p = -10

Hence, the value of p is -10.

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Answer:

Step-by-step explanation:

When you put this into your calculator, you get

42.5793

A: The largest number is too small

B: The largest number is too small

C: This is the answer. The calculator answer will round to 42.58, but before you round the answer is between 42.57 and 42.58

D: and again the largest value is not big enough

Answer:

C

Step-by-step explanation:

7[tex]\sqrt{37}[/tex] = 42.5793377

42.5793377 rounded down is 42.57

42.5793377 rounded up is 42.58

Answer:

42

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Answer:

its 0 :)

Step-by-step explanation:

Answer:

$270

Step-by-step explanation:

3÷90= 30

30×9=270

so this is your answer $270

Answer:

[tex]\frac{3}{5n}[/tex]

Step-by-step explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

ax²+bx+c

Rewrite the division as a fraction.

(3÷5)⋅1/n

Multiply 3÷5 by 1.

(3÷5)/n

Rewrite the division as a fraction. (3/5)/n

Multiply the numerator by the reciprocal of the denominator.

(3/5⋅(1/n)

Multiply 3/5 and 1/n.

3/5n

Answer:

26.79 meters

Step-by-step explanation:

tan15 = x/100

x = 100tan15 ≈ 26.79

Answer is 26.79m

Angle of elevation and tan Formula:

The angle of elevation is the angle between the horizontal line of sight and the object.

The tan angle = the length of the opposite side / the length of the adjacent side.

Here, the angle of elevation is 15 degrees.

Let's altitude of the helicopter is h.

The horizontal distance is 100m

tan(15°) = h / 100

0.2679 = h / 100

=> h = 0.2679 * 100

=> h = 26.79m

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Answer:

y = 8·√3

Step-by-step explanation:

From the drawing of the right triangle, we have;

The length of the opposite leg to the given 60° (reference) angle = 12

The length of the adjacent leg to given 60° (reference) angle = x

The length of the hypotenuse side = y

By trigonometric ratios, we have;

[tex]sin(Reference \, Angle) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]

Therefore, we have;

[tex]sin(60^\circ) = \dfrac{12}{y}[/tex]

From the value of sin(60°), we have;

[tex]sin(60^\circ) = \dfrac{\sqrt{3} }{2}[/tex]

[tex]\therefore y= \dfrac{12}{sin(60^\circ) } = \dfrac{12}{\dfrac{\sqrt{3} }{2} } = \dfrac{2 \times 12 \times \sqrt{3} }{{{3} } } = \dfrac{24 \times \sqrt{3} }{{{3} } } = 8 \cdot \sqrt{3}[/tex]

y = 8·√3

[tex]\left(x= \dfrac{12}{tan(60^\circ) } = \dfrac{12}{{\sqrt{3} } } = 4\cdot \sqrt{3} \right)[/tex]

Answer:

A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

Step-by-step explanation:

Answer:

780

Step-by-step explanation:

Explanation:

To get from  

5% to 100% you multiply by 20, so multiply the number in this case 39 by 20 percent.

39 is 5 percent of 780.

Given that we need to find 39 is 5% of what number,

To find the number that 39 is 5% of, we can use the concept of proportions.

Let's assume the number we're looking for is represented by "x." We can set up the proportion:

39 is 5% of x

Mathematically, this can be written as:

39 = 0.05x

To solve for x, we divide both sides of the equation by 0.05:

39 / 0.05 = x

The result is:

x = 780

Therefore, 39 is 5% of 780.

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Answer:

B, D

Step-by-step explanation:

2^5/6^5=0.00411522633744855967

3^-5=0.00411522633744855967

2^5x6^-5=0.00411522633744855967

Answer:

114.633333333

Step-by-step explanation:

Answer:

mmmm. give it to. meeee.

20/25 is one I think

Answer:

I think it's D also

Step-by-step explanation:

D is my best answer plus I don't think it would be negative and it would be a fraction

Answer:

2, 4 by plugging in the answer choices

Answer:

a:b:c = 6:15:20

Step-by-step explanation:

Given;

[tex]\frac{a}{b} = \frac{2}{5} \ \ and \ \ \frac{b}{c} = \frac{3}{4}[/tex]

a:b:c is determined as follows;

a:b = 2:5    and      b:c = 3:4

find the common factors in both equation = b = 5 and 3

Then, multiply the first equation by 3 and second equation by 5, so that value of b in both equations will be the same.

a:b = 6:15    

b:c = 15:20

Thus, a:b:c = 6:15:20

Answer:

47

Step-by-step explanation:

Let us assume his son be x

So, the oliver age is x + 33

Now eight years ago, oliver age is 5 more than thrice his son present age

x - 8 = 5 + 3x

So,

33 + x = 5 + 3x

2x =28

x=14

o = 33+14 = 47

Answer:

36 in

Step-by-step explanation:

7+7+11+11= 36

Answer:

36 inches

Step-by-step explanation:

2 7inch sides plus 2 11 inch sides

2x7= 14

2x11= 22

14+22= 36 inches

The value of [tex]csc(\theta)[/tex]  is  [tex]\frac{15}{12}[/tex]

"It is a triangle in which one of the angle measures 90° "

"It is the longest side of the right triangle."

"For a right triangle, [tex]x^{2}+ y^{2}=z^{2}[/tex], where z is the hypotenuse and x, y are other two sides of the right triangle."

"In a right triangle, csc of angle is the ratio of the hypotenuse to the opposite side of angle."

For given question,

First we find the hypotenuse of the right triangle.

Using Pythagoras theorem,

[tex]\Rightarrow 9^{2} + 12^{2}= r^{2}\\\\ \Rightarrow 81 + 144=r^2\\\\\Rightarrow r=\sqrt{225}\\\\ \Rightarrow r=15[/tex]

so, the hypotenuse is r = 15

Now we find the csc of angle [tex]\theta[/tex]

[tex]\Rightarrow csc(\theta)=\frac{hypotenuse}{opposite~side~of~\theta} \\\\\Rightarrow csc(\theta)=\frac{15}{12}[/tex]

Therefore, the value of [tex]csc(\theta)[/tex] is [tex]\frac{15}{12}[/tex]

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Answer:

this is just a guess but 81

Step-by-step explanation:

I hope it is right, but I just did quick math.

so it might also be 82 if you round up to the nearest number. (sorry if this is confusing)

Answer:

The correct one is B