Make v the subject of the relation KE = ½mv²

Answer:

[tex]1\frac{10}{27}[/tex]

Step-by-step explanation:

It's just:

[tex]6 \frac{1}{6} *\frac{2}{9}=\\[/tex]

[tex]\frac{37}{6} *\frac{2}{9} =[/tex]

[tex]\frac{74}{54} =[/tex]

[tex]\frac{37}{27} =[/tex]

[tex]1\frac{10}{27}[/tex]

Hope this helps and is correct.

Answer:

Step-by-step explanation:

Lets find the distance (the side length of the square)

D=sqrt((x2-x1)^(2)+(y2-y1)^(2))

plug in the coordinates:

D=sqrt((-5-(-5))^(2)+(12-(-3))^(2))

D=sqrt(0^(2)+15^(2))

D=sqrt(15^(2))

D=15

Area of a square is side length squared

A=s^2

A=15^2

A=225 units squared

Answer:

The answer is C.

Step-by-step explanation:

ur welcome

Answer:

Step-by-step explanation:

According to the diagram shown, ∠OPQ = ∠OQP = 18°. If PQT is a tangent to the circle, it can be inferred that line OQ is perpendicular to line QT. Ths shows that ∠OQT = 90°.

Also from the diagram, ∠OQP + ∠PQT = ∠OQT;

∠PQT  = ∠OQT -  ∠OQP

Given ∠OQP = 18° and ∠OQT = 90°

∠PQT = 90°-18°

∠PQT = 72°

Answer:

The value of x is 66

Step-by-step explanation:

Answer:

66°

Step-by-step explanation:

The interior angles of a triangle always sum up to 180°.  Looking at the first triangle, we see 48° + 66° + x = 180°, or x = 180° - (48° + 66°) = 66°.  This is true because the triangles are congruent.

Answer: A) 23

Step-by-step explanation:

You can substitute x in the equation for the unknown number.

This way, x + 2x= 69

3x=69

x=23

Answer:

23

Step-by-step explanation:

just use the multiple choices and get your answer.

I got 23 as the answer.

23 + 46 = 69

Answer:

9=7+a....................equation 1

a+8=b+5................equation 2

equation 1

9=7+a

9-7=a

2=a

a=2

put equation 1 into equation 2

2+8=b+5

10= b+5

10-5= b

5=b

b=5

meaning value of b=5

The value of b is 5 for the given equations 9 = 7 + a and a + 8 = b+5.

The substitution method is the algebraic method to solve simultaneous linear equations. In this method, the value of one variable from one equation is substituted in the other equation.

According to the given question we have , two equations

[tex]9 = 7+a...(i)[/tex]

and [tex]a + 8 = b + 5...(ii)[/tex]

From equation (i)

9 = 7 + a

⇒ a = 9 -7

⇒  a = 2

Substitute the value of a in equation (ii)

⇒ 2 + 8 = b + 5

⇒ 10 = b + 5

⇒ b = 10 -5

⇒ b = 5

Hence, the value of b is 5 for the given equations 9 = 7 + a and a + 8 = b+5.

Learn more about substitution method here:

https://brainly.com/question/14619835

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Answer:

C. picking a 4 of diamonds from a standard deck of cards

Step-by-step explanation:

First, we need to remember what the possible outcomes of a deck of cards, a flipped coin, and a standard number cube are.

A standard deck of cards has a total of 52 cards. There are 4 cards with a 7 on them. There is only one card with a 4 of diamonds. A nickel has 2 sides, and each side is equally likely show after a coin toss. A number cube has 6 faces with a different number from 1 to 6 on each face.

Now we find the probability of each situation. To find the probability of an event, divide the number of ways the desired event can happen by the total number of outcomes.

1. p(7) = 4/52 = 1/13 = 0.0769

2. p(tails) = 1/2 = 0.5

3. p(4 of diamonds) = 1/52 = 0.0192

4. p(number greater than 2) = 4/6 = 2/3 = 0.667

Answer: picking a 4 of diamonds from a standard deck of cards

Answer:

x = 16

Step-by-step explanation:

Answer:

-6 ≥ r

Step-by-step explanation:

–5 ≥ 5 (r+5)

Divide each side by 5

–5/5 ≥ 5/5 (r+5)

–1 ≥  (r+5)

Subtract 5 from each side

-1-5 ≥ r+5-5

-6 ≥ r

Answer:

Step-by-step explanation:

Mathematically, the area of a sector can be calculated using the formula below;

area of sector = angle/360 * pi * r^2

From the question, angle = 180

pi= 22/7

r = d/2 = 5.6cm/2 = 2.8 cm

So the area of the sector is as follows;

A = 180/360 * 22/7 * 2.8^2

A = 2 * 22/7 * 2.8^2 = 49.28

which is 49.3 cm^2 to the nearest tenth

Answer:

19 cups of water.

Step-by-step explanation:

1:2 ratio

1=9.5

2=9.5*2= 19

Answer:

19 cups of water.

Answer:

distance of his partner from the base of the tower ≈ 53.6 ft(nearest tenth)

Step-by-step explanation:

The forest ranger is on top of a fire tower and he sees his partner on the ground at the angle of depression of 40°. The tower is 45 ft tall.  

The illustration forms a right angle triangle.

The adjacent side of the triangle is the distance from the partner to the base of the tower.

Using tangential ratio

tan 40° = opposite/adjacent

tan 40° = 45/adjacent

cross multiply

adjacent tan 40° = 45

divide both sides by tan 40°

adjacent =45/tan 40°

adjacent = 45/0.83909963117

adjacent = 53.6289116667

distance of his partner from the base of the tower ≈ 53.6 ft

Answer:

It is 4 cavities

Step-by-step explanation:

The interquartile range (IQR) of the data in the dot plot is 4

From the question, we are to determine the interquartile range (IQR) of the data

From the diagram, we can produce the data set

0, 0, 0, 1, 1, 3, 3, 4, 7, 7

Now, we will determine the interquartile range of this data set.

The interquartile range is the difference in value between the upper quartile and lower quartile.

The upper quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order.

The lower quartile (Q1), is the value under which 25% of data points are found when they are arranged in increasing order.

∴ IQR = Q3 - Q1

From the data set

0, 0, 0, 1, 1, 3, 3, 4, 7, 7

Upper quartile (Q3) = 4

and

Lower quartile (Q1) = 0

∴ Interquartile range (IQR) = 4 - 0

IQR = 4

Hence, the interquartile range (IQR) of the data in the dot plot is 4

Learn more on Calculating interquartile range here: https://brainly.com/question/9821103

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Answer: d) similar, SAS similarity, ΔDGH

Step-by-step explanation:

DG ≡ GC ⇒ G is the midpoint of DC

DH ≡ HB ⇒ H is the midpoint of DB

Therefore, HB is the midsegment of ΔDCB.

By the Midsegment Theorem, HB || BC

By Corresponding Angles Theorem, ∠DGH ≡ ∠DCB

[tex]\underline{Sides}:\\\\\dfrac{DB}{DC}= \dfrac{7}{14}\rightarrow \dfrac{1}{2}\qquad \dfrac{DH}{DB}= \dfrac{7}{14}\rightarrow \dfrac{1}{2}[/tex]

ΔDCB ≅ ΔDGH by Side-Angle-Side Similarity Theorem

Answer:

Yes

Step-by-step explanation:

If we put both equations in slope-intercept form, we have

y=-x+3

y=-x+20

Both lines have the same slope of (-1).

Answer: x= -5 1/3w -5y

Step-by-step explanation:

add -15y to other side. then divide by -3 on both sides. 16/-3= -5 1/3 w and 15/-3 is -5

Answer:

that line is a translation through the other two line.

Step-by-step explanation:

a translation on a line makes them paralel

Answer:

the second integer is greater than the first

Step-by-step explanation:

Answer:

C. the second integer is greater than the first integer.

Step-by-step explanation:

this has to be true, because the farther you get to the right of the number line, the higher the numbers get.

It is not A or B, because we are not certain whether the second integer is negative or positive since we don't have any references.

And its not D, because the farther left you go, the less the numbers get.

Answer:

−2x^2 + 9x − 20

Step-by-step explanation:

distribute the negative to the expression and simplify

x^2 + 7x + −9 + −3x^2 + 2x + −11

= −2x^2 + 9x − 20

Answer:

7cm

Explanation:

Perimeter= 34cm

13+14= 27cm

34-27= 7cm

Answer:

Solution

[tex]area = 2 \sqrt{510} \: {cm}^{2} \\ perimeter = 34 \: cm \\ ab = 14 \: cm \\ bc = 13 \: cm \\ ac = \\ perimeter = ab + bc + ca \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:or \: 34 = 14 + 13 + ca \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: 34 = 27 + ca \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - ca = 27 - 34 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: or \: - ca = - 7 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ca = 7 \: cm[/tex]

hope this helps ....

good luck on your assignment...

Answer:

B

Step-by-step explanation:

it B pls mark me i calculated it 4 time pls

Answer:

on edge?

Step-by-step explanation:

Option A to buy has a total cost of 20,579 dollars, up-front cost of 2,500 dollars, monthly payment of 338 dollars for 60 months, and no mileage restriction. Option B to lease has a total cost of 12,169 dollars, up-front cost of 3,925 dollars, monthly payment of 229 dollars for 36 months, and mileage restriction of 10,000 per year.

You live 17 miles from work. You can expect to drive a minimum of  

miles per week.          170

You will work about 48 weeks per year, so you can expect to drive a minimum of                 8,160      miles per year.

You have a vacation planned and you expect to drive approximately 2,000 miles round trip. If you take the vacation, you      WILL NOT    stay under your mileage restriction if leasing.

Answer:

<ABC

Step-by-step explanation:

Answer:

46 Degrees

Step-by-step explanation:

hoped this helped

Answer:

3.019 hours.

Step-by-step explanation:

In this case they ask us to calculate the time in hours that are in those distances, for this we have the speed and the distance, we know that speed is equal to:

v = d / t

therefore the time would be:

t = d / t

we must pass the distance that is in kilometers to miles, like this:

350 km * 1 mile / 1.61 km = 217.4 mi

Now if replacing:

t = 217.4 / 72 = 3.019

Therefore, the time would be 3.019 hours.

Answer:

$34.89

Step-by-step explanation:

Here, we want to calculate the price of the pair of shoes.

Let the price of the belt be $x, we know that the price of pair of shoes would be x-1.79

so adding;

x + x-1.79 = 71.57

2x = 71.57 + 1.79

2x = 73.36

x = 73.36/2

x = $36.68

The price of pair of shoes = x-1.79 = 36.68-1.79 = $34.89

Answer:

Im pretty sure the exact value would be 0

Step-by-step explanation:

Answer: x(-1.8-6y)  =  -1.8*x -6*y*x

Step-by-step explanation:

The distributive property says that if we have:

A*(B + C) where A, B and C can be any numbers, we can expand the equation as:

A*(B + C) = A*B + A*C.

So, in this case, we have the equation:

x*(-1.8 - 6y)

so we can expand this as:

x*(-1.8 - 6y) = x*(-1.8) + x*(-6*y) = -1.8*x -6*y*x

Answer: r < 389

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

Rushawn's possible finishing times (r) must be less (<) than Josie's finishing time (329) plus 60 seconds.

Mathematically speaking:

r < 329+60

r < 389

So, the correct option is the last one.

Feel free to ask for more if needed or if you did not understand something.

Answer: r < 389

Step-by-step explanation:

Answer: our rectangle is 23 meters of width and is 54 meters long.

Step-by-step explanation:

The perimeter of a rectangle is P = 2*W + 2*L

where W is the width and L is the length.

We know that W = 23m and P = 154m

then:

154m = 2*23m + 2*L

(154m - 2*23m)/2 = L = 54m

So our rectangle is 23 meters of width and is 54 meters long.

Answer:

B. ΔDEF ≅ ΔSRU

Step-by-step explanation:

Hope this helps!

The congruence statement is [tex]\triangle D EF \cong \triangle SRU[/tex]

The pre-image of the triangle is triangle DEF.

When reflected over the y-axis, and then translated down 4 units and right 3 units, the image of the triangle is SRU

Translation and reflection are rigid transformations.

Hence, the congruence statement is [tex]\triangle D EF \cong \triangle SRU[/tex]

Read more about transformation at:

https://brainly.com/question/4289712