(quizz 7)

A) How fast was the cyclist going in miles per hour?
1) miles per hour _____

B) At that rate, how long will it take the cyclist to go 4.125 miles (in hours)?
1) hours? _____

Answer:

vi) For point F, Here, we can see that the point lies on the positive x – axis, therefore, its y – coordinate will be 0 and x – coordinate will be positive. Now, the distance of the point from the y – axis is 4 units. Hence, the coordinates of the point F can be written as F (4, 0).

Step-by-step explanation:

Answer: hope this helps ♡

The coordinates of F' are (2,11).

Step-by-step explanation:

right & left = x                        up & down = y

right & up = positive (+)         left & down = negative (-)

F = (6,8)

4 units left = 6 - 4 (x - 4) = 2

3 units up = 8 + 3 (y + 3) = 11

F = (6,8) → (2,11)

Answer:

It has 30 vertices.

Step-by-step explanation:

brainliest lang masaya nako

Answer:

A=$1,500, $3,000

B=Y=50x+500 (explained below)

Step-by-step explanation:

you start with the funtion “y=mx+b”. m is the slope, and b is the y intercept. x is how far right or left the point is and y is how far up or down the point is. Then you plug in the information you know. If they charge $50 for each hour, you plug that into the slope, and plug the $500 into the y intercept because that is the initial price, no matter how long it takes them. After you plug those in, it will look like “y=50x+500”. Then you look at what A is asking, for 20 or 50 hours of labor. On the graph it show you that hours is on the x-axis, so you plug the numbers into the equation. The first one, 20, would look like “50(20)+500”. Then the simple part, you solve it. 50 times 20 is 1,000 and 1,000 plus 500 is 1,500. So if they were to work for 20 hours, it would cost $1,500. You do the same for the second one, looking like “50(50)+500” ending up to 3,000. Those are your answers for A. For B, you need to plot the line. You take the easy one, with x being 0. You plot a dot on the y-axis, at (0,500), then you need to plug a number in for the second one, lets take the first number shown on the x-axis, 10. You plug it into the formula, looking like “y=50(10)+500” ending up at “y=1,000” so you plot another dot at (10,1,000). You then take a straight edge, line up the two dots, and draw your line.

Answer:

see attached

Step-by-step explanation:

you need to create 2 right angle triangles

one on the left has 60° which makes it a special right angle triangle with the property of the following:

the side that's opposing the 30° angle will be 1/2 of the long side,

the side that's adjacent to the 30° angle will be √3/2 of the long side

once you know these, the rest is easy

Answer:

a = 5 + √69

Step-by-step explanation:

I am just providing another way of  solving this. The answer provided by user elzny is absolutely correct and probably easier to understand. He has done a great job.

We can solve for a using the law of cosines which states that given, two sides of a triangle(say a and b) and an included angle (say C), the third side, c  can be determined by the relation:

c² = a² + b² -2ab(cosC)

or

a² + b² -2ab(cosC) = c²

If we look at the triangle we see that angle C measures 60° and the two sides that include this angle are of lengths 10 and a. The third side is 12

Plugging in these values into the equation,

10² + a² - 2(10)(a)(cos 60) = 12²

100 + a² -20a(cos 60) = 144

cos 60 = 1/2

So

100 + a² - 20a (1/2) = 144

(100 - 144) + a² - 10a = 0

a² -10a -44 = 0

This is a quadratic equation which can be solved to get two values for a
The solution to this quadratic equation is done using the quadratic formula

[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }[/tex]

where

Plugging in these values,

[tex]x = \dfrac{ -(-10) \pm \sqrt{(-10)^2 - 4(1)(-44)}}{ 2(1) }\\\\x = \dfrac{ 10 \pm \sqrt{100 - (-176)}}{ 2 }\\\\x = \dfrac{10}{2} \pm \dfrac{\sqrt{276}}{2}}[/tex]

Factor 276 to get 276 = 4 x 69

[tex]\sqrt{276} = \sqrt{4 \cdot 69} = \sqrt{4} \cdot \sqrt{69} = 2 \sqrt{69}[/tex]

This results in

[tex]x = \dfrac{ 10 }{ 2 } \pm \dfrac{2\sqrt{69}\, }{ 2 }\\\\x = 5 \pm \sqrt{69}\\\\[/tex]

[tex]\sqrt{69}[/tex] is greater than 5 so we take only the positive component which is
[tex]5 + \sqrt{69}[/tex]

Which is the same answer as what elzny  provided.

The pro of this methodology:
Direct implementation without splitting the triangle

The con:
You have to solve a quadratic equation which is not fun. But most scientific calculators can do this for you

Thanks!

Answer:

mass is 40y^2

Step-by-step explanation:

D=M/V

D=y10

V=y4

Y10=m/y4

Y10xy4=m

40y^2=m

I don’t know what you mean by y, but I’m pretending it’s a variable here.

Answer:

mm

Step-by-step explanation:

Answer:

It's 14

Step-by-step explanation:

First divide 35 by 100 then multiply by the percentage or 40 and the answer is 14

Answer:(9,12).

Step-by-step explanation:

Answer:

11 miles

Step-by-step explanation:

6 miles/60 min = 0.1 miles per minute = 0.1x110 = 11

Answer:

No, Noah's method does not always work.

Step-by-step explanation:

Let's say we're trying to find 40% of 80 instead of 20% of 60.

If we divide 80 by 5, like Noah says, we get 16, which is not 40% of 80.

The proper solution would be to multiply the number by the percentage converted to a decimal.

In this case, it would be 80 × 0.4, which is 32.

When you try to solve 20% of 60, you can say 60 × 0.2, which also gets 16.

Answer:

No it doesn't

Step-by-step explanation:

His method never works because multiplying by does not give the same result as dividing by 5. AI Recommended Answer: To find 20% of a number, divide the number by 5. For example, 20% of 60 is 12.

Step-by-step explanation:

You have to shade all the red dots because in column wise you have to shade from 1/8 to 7/8 and in row wise you shade from 1/4 to 3/4

Answer:

%2

Step-by-step explanation:

If every year the interest rate is %2 of the 4000 that means each year 80% is paid. This means that in 10 years 800$ will be paid

4000 - 800 = 3200

Answer: 12 is 20 % of the number 60

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

Re-write 20%

[tex]\frac{20}{100}[/tex]

Since, finding a fraction of a number is also the same as multiplying the fraction with the number, we have:

[tex]\frac{20}{100}[/tex] of 12 = [tex]\frac{20}{100}[/tex] x 12

The answer is:

2.4

Answer:

Because:

[tex]1 \: liter = 1000 \: milliliters[/tex]

Therefore to change from litres milliliters we multiply with 1000

[tex]5 \times 1000 = 5000[/tex]

Answer: 3/4

Step-by-step explanation:

0.75 = 75/100

75/25 = 3

100/25 = 4

Therefore, 0.75 = 3/4

Answer: hope this helps ♡

¾ is equivalent to 0.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

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Answer:

p = 14

Step-by-step explanation:

If at x 1/2 and y 7 this means that for x 1 y would be double 7 or 14.

Answer:

Step-by-step explanation:

So...let's figure a2 first

a2 / sin (45.8)  = 9 /sin C

a2 / sin (45.8) =  9 / [ sqrt (3) / 2 ]

a2 =sin (45.8) * 18 / sqrt 3  ≈  7.45

And in the second case

C = 180 -60 - 105.8   ≈  14.2°

So....by the Law of Sines again we can find a1 as

a1 / sin (14.2) = 18/sqrt 3

a1=  sin (14.2) * 18 /sqrt 3 ≈  2.55

{a1 , a2}  = {2.55 , 7.45}

Answer:

option d between 5 and 6

√25<√27>√36

Answer:

5-6

Step-by-step explanation:

Answer:556

Step-by-step explanation:

56875-790r4+356653x 2 / 64

Answer:

(-3,5)

Step-by-step explanation:

If you put a point on (-3,5) the square will be complete.

Answer:

Step-by-step explanation:

x

Answer:

Given [tex]\frac{15}{7} + h = \frac{37}{7}[/tex]

When h = [tex]\frac{22}{7}[/tex]

[tex]\frac{15}{7} + \frac{22}{7} = \frac{37}{7}[/tex]

We add 15 and 22 on the left side, because the denominators are equivalent.

15 + 22 = 37,  [tex]\frac{37}{7}[/tex] = [tex]\frac{37}{7}[/tex]

So this statement is true.

That means the correct option is A.

Have a wonderful day! :-)

Answer:46

Step-by-step explanation:

easy math

The area of the given trapezoid, using the given dimensions, is calculated to be 150 cm2, which is not among the provided choices, hence none of them are correct.

The figure described seems to be a trapezoid, which is a five-sided figure with two parallel sides. The formula to calculate the area of a trapezoid is (base1+base2)/2 * height. In this case, we have one base being 18 cm (the shorter parallel side), but we don't have the length of the other base. However, given the height and the two components of the unknown base, we can infer the remaining base is 7 cm (4 cm from vertex to height and 3 cm from a point to a vertical line created by two vertices). Thus, given the indices, the calculation would be: (18cm + 7cm)/2 * 12cm. Therefore, the total area of the figure is 150 cm2, which is not an option in the given choices. Hence, none of the options A, B, C, D are correct based on the provided data.

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Answer: -1/109123

Step-by-step explanation:

defination to the opposite reciprocal

The reciprocal value which is same magnitude but opposite sign

reciprocal number is 1 divided by given number

From given data :

reciprocal value is 109123

opposite reciprocal value is -109123 and 1 is divided by given value then

the value is -1/109123

Answer:

B

Step-by-step explanation:

Simplify the inequality

x<26

Answer:

Choice B

Step-by-step explanation:

2(5 x 10)   top and bottom rectangles

1(10 x 6)    the middle rectangle

2 ((1/2(6 x 4))  the two triangles

Sum of all the areas = 2(5 x 10) + (10 x 6) + 2((1/2(6 x 4))

This matches answer B

Answer:

B

Step-by-step explanation:

The rectangle measurements are 10 in by 5 in, and there are 2 rectangles with that measurement, so the first part is 2(5 × 10). Using the process of elimination, none of the other answer choices have that particular answer, so it's B. Hope this helps! Have a great day! :)