Find the length of the missing side of the right triangle. 15 C 36​

Hence, it will take [tex]75seconds[/tex] to meet both the cars at the same place.

What is the time?

Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.

Here given that,

Two toy cars race around a circular track (both go in the same direction). One car can travel around the track in [tex]30[/tex] seconds. The other car travels around the track in [tex]50[/tex] seconds.

Case 1 :-

Track length every [tex]30[/tex] seconds. In [tex]x[/tex] seconds, travels [tex]\frac{x}{30}[/tex] of the track.

Case 2:-

Track length every [tex]50[/tex] seconds. In [tex]x[/tex] seconds, travels [tex]\frac{x}{50}[/tex] of the track.

Combining case 1 and case 2, we get

[tex]\frac{x}{30}=\frac{x}{50}+1\\\\\\frac{x}{30}-\frac{x}{50}=1\\\\\\frac{50x-30x}{1500}=1\\\\20x=1500\\\\x=\frac{1500}{20}\\\\x=75seconds[/tex]

Hence, it will take [tex]75seconds[/tex] to meet both the cars at the same place.

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Answer: Coach Lopez wants to divide his soccer team into a smaller, equal-sized group of players for practice. He noticed that he divided his team evenly into groups of 3.

Coach Lopez can form smaller equal-sized groups because the number of students on his team is a prime number.

This means that the number of players on the team has three factors.

Coach Lopez could possibly have 12 players on his team.

Answer:

Can you take a full picture

Step-by-step explanation:

Answer:
Choice A:
Final price:-  $17.50
Saved amount :-7.50


Choice B:
Final price: $24.00

Saved amount: $8.00

Therefore the choice A is better deal.

Answer:

a

Step-by-step explanation:

Answer: A local swiming

Answer:

$140

Step-by-step explanation:

Rent alone = 400

Rent with roommate = (400 + 30%) / 2
= (400 + 120) / 2

= 520 / 2

Rent with roommate = 260

400 - 260 = 140

Answer:

Step-by-step explanation:

There are two methods of doing this

one is in the pin and another:

3 2/7 =23/7

7 5/14= 103/14

23/7 + 103/14 = Lcm 14

23/7 *2= 46/14

46/14 + 103/14 =149/14

149/14 = 10 9/14

Step-by-step explanation:

c.is correct your welcome

Answer:

3/8 & 4/8

Step-by-step explanation:

1/2 - 1/8 = 4/8 - 1/8 = 3/8

x - 1/8 = 3/8

x = 4/8    

Answer:

  (d)  y = 3x² +2x -6

Step-by-step explanation:

The equation of a parabola through thee points can be found different ways. One is to use a quadratic regression tool. Another is to write and solve linear equations in the coefficients. (3 equations in 3 unknowns).

__

Here, we can eliminate answer choices that don't work to arrive at the correct answer choice.

The point (0, -6) is the y-intercept of the function. That means the value of the constant term in the quadratic is -6. (Eliminates A and C.)

The y-values of the other two points are both greater than -6, indicating the parabola opens upward. That means the leading coefficient is positive. (Eliminates B.)

The only reasonable choice is D:

  y = 3x² +2x -6

__

Additional comment

You get the same answer if you use a regression tool.

Answer:

[tex]y = 3\, x^{2} + 2\, x - 6[/tex].

Step-by-step explanation:

In general, the equation of a parabola is in the form [tex]y = a\, x^{2} + b\, x + c[/tex] for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], where [tex]a \ne 0[/tex].

Let [tex]y = a\, x^{2} + b\, x + c\![/tex] denote the equation of this parabola for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] where [tex]a \ne 0[/tex]. A point [tex](x_{0},\, y_{0})[/tex] is on this parabola if and only if the equation of this parabola holds after substituting in [tex]x = x_{0}[/tex] and [tex]y = y_{0}[/tex]:

[tex]y_{0} = a\, {x_{0}}^{2} + b\, x_{0} + c[/tex].

Thus, each of the three distinct points on this parabola would give a equation about [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:

Simplify the equations:

[tex]\left\lbrace\begin{aligned}& 9\, a - 3\, b + c = 15 \\ & c = 6 \\ & 4\, a + 2\, b + c = 10\end{aligned}\right.[/tex].

Solve this linear system of three equations and three unknowns for [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:

[tex]\left\lbrace \begin{aligned} & a = 3 \\ & b = 2 \\ & c = (-6) \end{aligned}\right.[/tex].

Therefore, the equation of this parabola would be:

[tex]y = 3\, x^{2} + 2\, x - 6[/tex].

Answer:

14 square meters

Step-by-step explanation:

the first part of this question can be to find the bases area

the base is 2 * 2 which is 4 square meters

then you find the area of the triangles

the length is 3 and the base is 2

then you multiply the amount of that by 1/2 and then by 4 because of the number of triangles there are

2 * 3 * 1/2 * 4 = 12

this is the area of the triangles added together

then you add 12 to 2 for the total

12 + 2 = 14 m^2

Answer:

First, you find the volume of each box

Volume = Length * Width * Height

Box A

V = 13 * 40 * 5

V = 2600 cm^3

Box B

V = 8 * 10 * 25

V = 2000 cm ^3

Box C

V = 11 * 20 * 30

V = 6600 cm ^3

Since 7400, the cubes trying to be packed, is bigger than any of the volumes of the boxes, 2 boxes must be used

The boxes with volumes that add up to a number greater than 7400 are Box C with Box A or B (either works, as long as C is one of them)

The total volume of the boxes together can be found with simple addition

2600 + 2000 + 6600 = 11200 cm ^3

Step-by-step explanation:

Let the triangles be ADC and BEC.

Point D has coordinates of (0, 154), point E has coordinates of (0, 110).

ΔADC

The slope of AC

ΔBEC

The slope of BC

As we can see the slopes are equal

The y-intercept or initial value is represented by the point C and has coordinates of (0, 66)

The line is:

The initial value is the depth of 66 m where the shark is.

The slope is the 44 m increase of the depth every minute.

Answer:

So basically what you have to is divide the log as you see the word quotient, therefore you need to take log^6 30 and divide 30 by 5 which will give you 6 right. Do you understanding so far? Moreover, you see log^6 2 so 15x2=30 it just basically itself breaking down.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}[/tex]

Answer:

[tex]1\frac{1}{6} or 1.167[/tex]

Step-by-step explanation:

[tex]\frac{1}{2} + \frac{2}{3}[/tex]                    (convert 0.5 to a fraction: [tex]\frac{1}{2}[/tex]

[tex]= (\frac{3}{3} )\frac{1}{2}+ \frac{2}{3}(\frac{2}{2} )[/tex]     (find common denominator)

[tex]=\frac{3}{6} +\frac{4}{6}[/tex]               (add the numerators together)

[tex]=\frac{7}{6}[/tex]                      (if [tex]\frac{6}{6}[/tex] is equal to 1, but we have one extra it becomes...)

[tex]=1\frac{1}{6}[/tex]                    (convert to a decimal if needed)

[tex]= 1.167[/tex]

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Answer:

•100 + 10 + (10 - 5)²=135

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Question

100 + 10 + (10 - 5)²

Answer:

Step by step explanation:

=100 + 10 + (10 - 5)²

=100 + 10 +5²

=100 + 10 + 25

=110 + 25

=135

I hope this helps

Answer:

  see table below

Step-by-step explanation:

The exact metric conversions for length, mass, and volume are ...

An inch is 2.54 cm.

A pound is 0.45359237 kg.

A pint is 0.473176473 liters.

The approximate conversions would be ...

 2 inches ≈ 5 cm

  5 pounds ≈ 2 kg

  8 pints ≈ 4 liters

Answer: I pretty sure the answer is 92!

Step-by-step explanation:

75% of the test score would be 76 x 0.75 = 57

80-57 = 23

They need 23 more points to get an 80

The 23 is 25% of the final exam grade so they would need to score a 23 x 4 = 92 on the final exam

answer: 92

Answer:

2.02

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SOH CAH TOA

Opposite is 7

Y is the hypotenuse - longest side

So, x is the adjacent

Find y first, we've got opposite & hypotenuse

=> SOH or Sin

Sin(30) = o/h

Sin(30) = 7/h

x h

h x sin(30) = 7

÷ Sin(30)

H = 14

Pythagoras' Theorem: a^2 + b^2 = c^2

(which I've already rearranged, to find value of x)

Square root of 14^2 - 7^2 = 7 root 3.

Thus, the missing lengths should be 14 and 7 root 3.

The answer is:

y = 14

x = 7 root 3

(root => a square root)

Hope this helps!

Answer:

74,000 words he can type in 37 minutes

Sales tax: $206.25

■ Cost/Price before ST: $2,750.00

■ Total Cost/Price including ST: $2,956.25

Answer:

124

Step-by-step explanation:

350 times 35.5% = 124.25 and obviously .25 of a person cant go to a movie so you round down to 124.

Answer:

y=−2x+5

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is

y=mx+b , where m is the slope and b is the y-intercept.

y=mx+b

Find the values of

m and b

using the form

y=mx+b.

m=−2b=5

The slope of the line is the value of m , and the y-intercept is the value of

b.

Slope: −2

y-intercept:

(0,5)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Graph the line using the slope and the y-intercept, or the points.

Slope:  −2

y-intercept:  (0,5)

X|Y

0 5

1  3

Step-by-step explanation:

The required graph of the equation y = -2x +5 has been shown.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
As the given equation y = -2x+5 represents a straight line,
in order to graph the line,
We must know, the two points on the line,
So,
Put x = 0 on the equation,
y = 5,

And put y = 0,
0 = -2x + 5
x = 2.5,

Now, locate the points (0, 5) and (2.5, 0) on the graph and draw the straight curve joining these two points will be the required graph of the equation,

Thus, the required graph of the equation y = -2x +5 has been shown.

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Answer:

y = x² + 8x + 16

Step-by-step explanation:

blue square = x × x = x²

green rectangle = 4 × x = 4x

yellow square = 4 × 4 = 16

Let y = total area of the square

⇒ y = blue square + green rectangle + green rectangle + yellow square

       = x² + 4x + 4x + 16

       = x² + 8x + 16

Area:-

Answer: 5 meters

Why?:

Let the width of the room be denoted by 'W'

Since the room is three times as long as its width, the length will be '3W'

remember perimeter of a rectangle is =  2(length + width) and is given in the question as 40 meters.

      Perimeter =  2 (length + width)

                 40 = 2 (3W + W)

                 40 = 2 (4W)

                 40 = 8W

(Dividing both sides by 8), gives

                 5 = W

Answer:

l = 15

w = 5

Step-by-step explanation:

l = 3w

40 = 2l + 2w

40 = 6w + 2w

40 = 8w

8w = 40

w = 40/8

w = 5

l = 15