Write an equation for each line?

I have attached an image showing the diagram.

Answer:

-2 m/s²

Step-by-step explanation:

From the diagram, in decelerating from between 60 to 70 seconds, it moved from a velocity of 20 m/s to 0 m/s.

Thus, using Newton's first equation of motion, we can find the deceleration;

a = (v - u)/t

Time (t) = 70 - 60 = 10 s

Final velocity (v) = 0 m/s

Initial velocity (u) = 20 m/s

Thus;

a = (0 - 20)/10

a = -20/10

a = -2 m/s²

Answer:

Everyone got 52/25 = 2.08 slices of pizza.

Step-by-step explanation:

1 large sized pizza = 8 slices

6.5 large sized pizzas = 52 slices

52/25 = 2.08

Hope this helps :D

Answer:

Number 1

Step-by-step explanation: Not sure just assuming I think I am right not gonna lie

Answer:

[tex]m\angle R=35^{\circ}\\m\angle T=45^{\circ}[/tex]

Step-by-step explanation:

Since both triangles in this figure are similar, their corresponding angles must be equal.

Since [tex]\angle R[/tex] corresponds with [tex]\angle U[/tex]:

[tex]m\angle U=m\angle R=\fbox{$35^{\circ}$}[/tex].

Similarly, [tex]\angle T[/tex] corresponds with [tex]\angle Q[/tex]:

[tex]m\angle Q=m\angle T=\fbox{$45^{\circ}$}[/tex].

Answer:

Amelia needs to invest $989.57.

Step-by-step explanation:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Amelia is going to invest in an account paying an interest rate of 2.3% compounded quarterly.

This means that [tex]r = 0.023, n = 4[/tex].

How much would Amelia need to invest, to the nearest hundred dollars, for the value of the account to reach $1,530 in 19 years?

We have to find P for which [tex]A(t) = 1530[/tex] when [tex]t = 19[/tex]. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]1530 = P(1 + \frac{0.023}{4})^{4*19}[/tex]

[tex]P = \frac{1530}{(1 + \frac{0.023}{4})^{4*19}}[/tex]

[tex]P = 989.57[/tex]

Amelia needs to invest $989.57.

Answer:

Step-by-step explanation:

12800000

or 567777000

$27500000

Answer:

See below

Step-by-step explanation:

Q11

Triangle is 45° and therefore isosceles

Q12

Q13

Q14

Q15

Q16

Answer:

A

Step-by-step explanation:

a function may not have the same values of X.

Answer:

can you elaborate a little more

Answer:

95

Step-by-step explanation:

Ok so

so firs what we do is

1150/12 and ignore remainder

95 and remainder is 10

therefore we have 95 trucks full and 10 cars in the last truck

Answer: i think i would be half of it

Step-by-step explanation:

Answer:

c=5

Step-by-step explanation:

in right lower triangle

c²=a²+b²

c=√(4²+3²)=√25=5

sorry I don't understand it.which length of diagonal is needed to find.comment me.

Answer:

wait huh?

Step-by-step explanation:

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c

c

c

c

Answer:

[tex]\theta = 120, 240[/tex], in degrees

Step-by-step explanation:

The secant of an angle is given by:

[tex]\sec{\theta} = \frac{1}{\cos{\theta}}[/tex]

In this question:

[tex]\sec{\theta} = -2[/tex]

So

[tex]\frac{1}{\cos{\theta}} = -2[/tex]

[tex]-2\cos{\theta} = 1[/tex]

[tex]\cos{\theta} = -\frac{1}{2}[/tex]

In the first quadrant, the angle that has cosine of 1/2 is 60º.

The cosine is negative in the second and in the third quadrant.

The equivalent angle to 60º in the second quadrant is of 180º - 60º = 120º.

The equivalent angle to 60º in the third quadrant is of 180º + 60º = 240º

So the values of [tex]\theta[/tex] in the interval are:

[tex]\theta = 120, 240[/tex], in degrees

Answer:

Of the basketball players on the team, exactly 75% of the players have heights above 180

Step-by-step explanation:

So, they are 12 basketball players in total

1 - 170 - This is 1/12

2 - 175 - This is 1/6

1 - 180 - This is 1/12

4- 185 - This is 1/3

3 - 190 - This is 1/4

1 - 195 - This is 1/12

75% (Or 3/4) have heights above 180

Therefore, the answer is B

Answer:For the first one it would be x=35

And the 2nd one would just be x=-1

Step-by-step explanation:

Answer:

your answer will be 22

Step-by-step explanation:

if you add 20 by 2 it will give you 22 use a calculator if not sure but 22 is your answer

Answer:

450 cm

Step-by-step explanation:

25 on both sides 2x25

4 squares = 25x4

4 sides for 4 squares = 100x4

400+50

Answer: C

Step-by-step explanation:

Answer:

easy do you want to get (15,20,25) from (3,4,5)and from(5,12,13)

Step-by-step explanation:

Arnav can use the fact that scaling doesn't affect the angles of a triangle, and that (3,4,5) is already stated being a Pythagorean triple.

Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

We're given that:

(3,4,5) is a pythagorean triple.

Let ABC be a right angled triangle possessing those sides (as the side lengths of a right angled triangle form pythagorean triple).

Scale each side of ABC by scale factor of 5, then we get:

(15, 20, 25) as a triple.

When scaling a figure, angles in it doesn't change because of angle being a relative quantity, not depending on the length of sides, but on the degree of rotation between two sides, which is unaffected because of scaling.

That means, that right angled triangle ABC, when scaled is still right angled triangle (because of its one of the angle 90 degrees still being 90 degrees in the new scaled triangle), but its sides are (15,20,25).

Now, since the triple (15,20,25) is side lengths of a right angled triangle, therefore, it is a pythagorean triple.

Thus, arnav can use the fact that scaling doesn't affect the angles of a triangle, and that (3,4,5) is already stated being a Pythagorean triple.

Learn more about scale factor here:

https://brainly.com/question/8765466

Answer:

24/20 cups or 6/5 cups.

Step-by-step explanation:

Good luck :)

Answer:

B.

Step-by-step explanation:

Answer:

The slope -2 is and the y intercept is 12

Step-by-step explanation:

First, let's find the slope. We'll use the equation m=(y2-y1)/(x2-x1) (m is the slope)

Let's take any two points from the graph. For example, let's take (-3, 18) and (0,12)

Now label the points

x1=-3

y1=18

x2=0

y2=12

now substitute into the equation

m=(12-18)/(0--3)

m=(12-18)/(0+3)

m=-6/3

m=-2

So the slope is -2.

The y intercept is the point in which the line crosses the y axis. The x value is 0, while the y value is a number. Looking at the table, the y intercept is actually there; it's the point (0,12) (the second point there)

Therefore the y intercept is 12

Hope this helps!

Answer:

The value of 'x' will be;

⇒ x = 2√3

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now,

We know that;

⇒ tan θ = Perpendicular / Base

Here, Perpendicular distance = x

And, Base = 6

Substitute all the values, we get;

⇒ tan θ = Perpendicular / Base

⇒ tan 30° = x/6

⇒ 1/√3 = x/6

⇒ x = 6/√3

⇒ x = 2√3

Thus, The value of 'x' will be;

⇒ x = 2√3

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

Answer:

i think it is 12

Step-by-step explanation: