Amanda, Bryce, and Corey enter a race in which they have to run, swim, and cycle over a marked course. Their average speeds are given in the table. Corey finishes first with a total time of 1hr 50 min. Amanda comes in second with a time of 2hr 42 min. Bryce finishes last with a time of 3hr 16 min. Find the distance (in mi) for each part of the race.

Answer:

Segment XV is equal to 24 mm

Step-by-step explanation:

Both triangles are clearly congruent, both having the same type of angles as well as angle LKJ and angle VKW having the same angle measure, 21 degrees. Lastly, if you were to take out segment JL and WV, the triangles would fold the same. All of this leads to segment XV being the same as segment KL which leads it to be 24 mm. (Sorry if this is confusing, just trying to explain how my brain understood the problem. If you need me to elaborate more let me know).

Answer: reasoning

Step-by-step explanation:

Answer:

1550 cups

Step-by-step explanation:

multiply everything by 5

Answer:

$8

Step-by-step explanation:

20% of $40

= [tex]\frac{20}{100}[/tex] × $40

= 0.2 × $40

= $8

$8 is discounted from the regular price

Answer:

$8 off

Step-by-step explanation:

Convert from a percentage to a multiplier by dividing by 100:

[tex]\frac{20}{100}=0.2[/tex]

Then multiply that by the price:

[tex]40*0.2=8[/tex]

meaning the item is $8 off.

You can confirm that like so:

[tex]\frac{8}{40} =0.2\\[/tex]

or 20%

Answer:

(x+3)(y+2)

Step-by-step explanation:

(xy+2x)+(3y+6)

x(y+2)+3(y+2)

(x+3)(y+2)

Answer:

2x + 0.9 = 21.2

Step-by-step explanation:

Let x be the number

The number was doubled so it should be 2x, then add 0.9 equals to 21.2

Answer:  2x + 0.9 = 21.2

and x = 10.15

Step-by-step explanation:

With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean

Step-by-step explanation:

Answer:

∠ H = 22.5°, ∠ I = 45° , ∡ J = 112.5°

Step-by-step explanation:

The 3 angles in a triangle sum to 180° , then

x + 2x + 5x = 180 , that is

8x = 180 ( divide both sides by 8 )

x = 22.5

Then

∠ H = x = 22.5°

∠ I = 2x = 2 × 22.5° = 45°

∠ J = 5x = 5 × 22.5° = 112.5°

Answer:

83.3

Step-by-step explanation:

Alright so

She can write 500 words per hour

An hour is 60 minutes

500 divided by 6 (because 6x10= 60)

so you get est. 83 words per 10 mins.

To double check, do 83x6= 498, which is because the 83, is 83.3 (repeating)

Answer:

4 = a

5 = a

hope this answer helps you dear!

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Substitute and evaluate:

Answer:

[tex]b = 3 \ \: \: : c = 5 \\ \\ b {}^{2} c - 11 = \\ \\ \\ {3}^{2} \times 5 - 11 = \\ \\ 9 \times 5 - 11 = \\ \\ 45 - 11 = \\ \\ = 34[/tex]

Answer:

4/1

Step-by-step explanation:

To get from one dot to the next, you go up by four and to the right by one, making the slope 4/1

Answer:

1/8 Pounds

Step-by-step explanation:

Since Tracy gives 3/4 pounds of rice to 6 of her friends, you will need to divide it among 6 people.

3/4 ÷ 6

= 3/4 * 1/6

= 1/4 * 1/2 (cross multiplication)

= 1/8.

Therefore, each of her 6 friends received 1/8 Pounds of rice

I hope this helped!

Answer:

The answer is not finished but if John is buying the materials and paying for the labor then the answer will be $510.

Step-by-step explanation:

I’m sorry if I didn’t help but the answer is not written out enough…

Answer: 6, 12,24,30,36

Step-by-step explanation:

Hope this helps! :)

Answer:

First divide 3 on both sides to get x by itself, now you have x < -2.

Step-by-step explanation:

Hope this helps :)

Answer:

B

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

8^2=64

64+9=73

73-3=70

8*8=64

64+24=88

88-16=72

70<72

Answer:

(a) 1.0792 x 10³

(b) 3.769 x 10³

(c) 9.985 x 10³

This should be the answer to the problems, the rounding part got me confused for a second.

Significant digits are numbers after the decimal that aren't 0. So the 1.0792, the 0 isn't a significant digit.

Yan po correct me if im wrong po.. Salamat po...

Answer:

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

Step-by-step explanation:

The slope m is a measure of the rate of change

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with |(x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = [tex]\frac{4-(-1)}{3-0}[/tex] = [tex]\frac{4+1}{3}[/tex] = [tex]\frac{5}{3}[/tex] ← rate of change

Answer:

slope(m) = 7/4

Step-by-step explanation:

You can use Rise over run in order to find out the answer. I just used points (0,-1) and (4,6) and the rise was positive 7 while the run is 4 so the rate of change or the slope is 7/4.

You could also use the long way to figure the slope of the line. You could use (y2 - y1) / (x2, x1) to get the same slope

Answer:

Approximately [tex]12.9\; \rm km \cdot h^{-1}[/tex], assuming that this orbit is circular.

Step-by-step explanation:

The question is asking for a tangential velocity with the unit [tex]\rm km \cdot h^{-1}[/tex]. The unit of the given distance is already in [tex]\rm km[/tex] as required. Convert the unit of the orbital period to hours:

[tex]\begin{aligned}T &= 1230\; \text{day} \times \frac{24\; \rm h}{1\; \text{day}}. = 29520\; \rm h\end{aligned}[/tex].

Calculate the angular velocity [tex]\omega[/tex] of this planet from its orbital period:

[tex]\begin{aligned}\omega &= \frac{2\, \pi}{T} \\ &= \frac{2\, \pi}{29520\; \rm h} \approx 2.1285 \times 10^{-4}\; \rm h^{-1}\end{aligned}[/tex].

Given the radius [tex]r[/tex] of the orbit of this planet, the tangential velocity [tex]v_{\perp}[/tex] of this planet would be:

[tex]\begin{aligned}v_{\perp} &= \omega\, r \\ &\approx 2.1285 \times 10^{-4}\; \rm h^{-1} \times 2.22\times 10^{7}\; \rm km \\ &\approx 4.73 \times 10^{3}\; \rm km \cdot h^{-1}\end{aligned}[/tex].

If the orbit of this planet is circular, the velocity of the planet would be equal to its tangential velocity: [tex]4.73\times 10^{3}\; \rm km \cdot h^{-1}[/tex].

Answer:

left 2 units, up 3 units

Step-by-step explanation:

(x-2, y+3)

-2 means 2 to the left

+3 means 3 up

So it would be left 2 units, up 3 units.

Answer:

Step-by-step explanation:

Rule:

If  x+b   right in b units

if  x-b    left   in b untits

if  y+b    up   in  b units

if  y-b  down in  b  units

You don 't have to use this rule if you know that on the Ox axis the line goes horizontally (the abscissa axis); And on the Oy axis vertically (the ordinate axis)

Then :

x-2    left in 2 units

y+3   up  in  3 units

Answer:

C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12

Step-by-step explanation:

Answer:

quadratic function; quadratic term: −6x² ; linear term: −17x; constant term: −12

Step-by-step explanation:

The given function is

We need to expand the RHS to get:

We can see that the degree of this polynomial function is 2 and hence it is a quadratic function.

The quadratic term is -6x²

The linear term is -17x

The constant term is -12

Step-by-step explanation:

due to the laws of symmetry of the angles of 2 crossing lines (and parallel lines are simply repeating and mirroring these angles), both angles must be equal.

5x - 5 = 6x - 27

-5 = x - 27

x = 22

Answer:

(C) 27

IS THE ANSWER....