Two photos were taken of a car.
photo 2 was taken 0.5 seconds after photo 1.
the marks on the road are 0.8 metres apart.
calculate the average speed of the car in m/s.

Answer:

62 degrees

Step-by-step explanation:

Since we know 3 sides of the triangle, we can use law of cosines.

[tex] {gk}^{2} = {gh}^{2} + {kh}^{2} - 2(gh)(kh) \times \cos(h) [/tex]

[tex] {8}^{2} = {17}^{2} + {15}^{2} - 2(17(15) \times \cos(h) [/tex]

[tex]64 = 289 + 225 - 510 \times \cos(h) [/tex]

[tex]64 = 314 - 510 \times \cos(h) [/tex]

[tex] - 250 = - 510 \times \cos(h) [/tex]

[tex] \frac{250}{510} = \cos(h) [/tex]

[tex] \frac{25}{53} = \cos(h) [/tex]

Take the arcos or cosine inverse

[tex] \cos {}^{ - 1} = \frac{25}{53} [/tex]

Which is about 62 degrees.

Answer:

wdym? like the app remind?

Answer:

you have to download the remind app

Answer:

64

Step-by-step explanation:

thats all my answer...

Answer:

16 ounces in a pound

14 x 16= 224 ounces

Answer:

Step-by-step explanation:

a) 2a + 4 + ap + 2p = 2*a + 2*2 + a *p + 2*p

                               = 2(a + 2) + p(a + 2)

                              =  (a +2) (2 + p)

b) 162 - 8t² = 2*81 - 2*4t²

                 = 2 (81  - 4t²)

                = 2( 9² - (2t)² )          {a² - b² = (a + b)(a -b)

                = 2 ( 9 + 2t) (9 - 2t)

Step-by-step explanation:

a. 2a + 4 + ap + 2p

2a + ap + 4 + 2p

a (2 + p) + 2 (2 + p)

= ( a + 2) ( 2 + p)

b. 162 - 8t^2

2( -4t^2 + 81)

Answer:

I came up with $3.20 each donut cost.

Given:

The figure of a right angle triangle.

To find:

The value of x to the nearest hundredth.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Using the above trigonometric ratio for the given triangle, we get

[tex]\cos 46^\circ=\dfrac{x}{8}[/tex]

[tex]0.6947=\dfrac{x}{8}[/tex]

[tex]0.6947\times 8=x[/tex]

[tex]5.5576=x[/tex]

Approximate the value to the nearest hundredth.

[tex]x\approx 5.56[/tex]

Therefore, the value of x is 5.56 units.

Answer:

420 x .1 = 42

420 + 42 = 462

400 x .2 = 80

400 + 80 = 480

The first one is cheaper

Answer:

Step-by-step explanation:

b

Answer:

B)  C)  and E)    (i just took this in USA TestPrep

Step-by-step explanation:

Answer:

shifts to the right 3 units and up 2 units

Step-by-step explanation:

Answer:

x = 53

Step-by-step explanation:

x = 53 (Vertically Opposite Angles)

Answer:

3.2

Step-by-step explanation:

3.2t when t=1

replace t with 1 so 3.2(1)

hence =3.2

Answer: Think of it this way, symmetry is basically a mirror and you can better find the perimeter because you'll know that the sides are the same length

Step-by-step explanation:

Well if you have two sides that are symmetrical or an entire shape is symmetrical you can find the perimeter easier. So let's say two lines are symmetrical and one has the length of 2 the other one can also be two. If we have a symmetrical shape, then is would be a complete reflection.

A geometric object or form is symmetric when it can be broken up into two or more identical pieces and then placed in a systematic way.

The definition of symmetry is a proportionate and balanced similarity between two sides of an object, where one half is the mirror image of the other. For instance, certain geometric forms like, rectangle, and circle are symmetric along their respective axes of symmetry.

since the shape's two halves would perfectly match if you folded it along the line. The shape will also remain unchanged if a mirror were positioned along the line , a square has four lines of symmetry.

A geometric object or form is symmetric when it can be broken up into two or more identical pieces and then placed in a systematic way.

To know more about symmetry visit :-

brainly.com/question/15970176

#SPJ2

Answer:

60º

Step-by-step explanation:

180º-35º-85º=60º

Using the z-distribution, we have that:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Item a:

We are interested in the confidence interval for the true proportion of kids who want to be a doctor, hence the parameter of interest is the proportion of kids who want to be a doctor.

Item b:

Fifty-five of the 1000 kids want to be a doctor, hence, since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.

Item c:

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.0339[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.066[/tex]

The interval is (0.0339, 0.066).

Item d:

We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.

You can learn more about the use of the z-distribution to build a confidence interval at https://brainly.com/question/25649070

Answer:

114°

Step-by-step explanation:

here's your solution

=> x° + 66° = 180°

=> x = 180° - 66°

=> x = 114°

hope it helps

Answer:

66°+x=180°[by linear pair]

x=180°- 66°

x=114°.

Answer:

(3x + 8) (3x - 8)

Step-by-step explanation:

Not sure if you need the steps

Answer:

all have domain of real numbers

Step-by-step explanation:

Answer:

Simplify each term.

Px+px+3p=10x−7

Move all terms not containing P to the right side of the equation.

Px=10x−7−px−3p

Divide each term by x and simplify.

P=10−7/x−p−3p/x

Step-by-step explanation:

Answer: 9.90

Step-by-step explanation:

tan 48= 11/x

1.11=11/x

1.11x=11

x=9.90

Answer:

no real solutions

3±32i

Step-by-step explanation:

used quadratic formula

Answer:

[tex]\boxed{50cm^2}[/tex]

Step-by-step explanation:

Hello There!

The shown figure is a trapezoid

The formula for area of a trapezoid is

[tex]A=\frac{a+b}{2} h[/tex]

where a = base 1

b = base 2

h = height

the dimensions given are

13 & 7 - bases

5 - height

so all we have to do is plug in the values into the formula

[tex]A=\frac{7+13}{2} 5\\7+13=20\\\frac{20}{2} = 10\\10*5=50\\A=50[/tex]

So we can conclude that the area of the trapezoid is 50 cm²

Answer:

not sure

Step-by-step explanation:

Answer:

£3.25

Step-by-step explanation:

£9.25×2+ £9.50+£10.55+£4×4.55

18.5+9.50+10.55+18.2

=£3.25

Answer:

£2.75

Step-by-step explanation:

2(9.25) + 1(9.50) + 1(10.55) + 4(4.55) = x

19.00 + 9.50 + 10.55 + 18.20 = x

28.50 + 28.75 = x

57.25

60 - 57.25 = 2.75

Answer:15 ft

Step-by-step explanation:

Given

The total perimeter needed is [tex]40\ ft[/tex]

The available width of the room is [tex]w=5\ ft[/tex]

Suppose l is the length of the room

So, the perimeter of a rectangle-shaped room is [tex]2(l+w)[/tex]

Putting values

[tex]\Rightarrow 40=2(l+5)\\\Rightarrow l+5=20\\\Rightarrow l=15\ ft[/tex]

Im not 100% sure but i believe it would be C

Answer:

im positive you don't need the answer anymore but i'm 96% sure it's B for anyone who's searching up the question

Step-by-step explanation:

(when I answered the question it had a check your answer thing and said B was right)

Answer:

Step-by-step explanation:

2y + 3<11                       Subtract 3 from both sides

2y < 11 - 3

2y < 8                           Divide by 2

2y/2 <8/2                  

y < 4

The question is very hard to answer. That's because the answer is very close to 4, but it is not 4.

For example 3.8 is a possible answer. Try it

2*3.8 + 3 < 11

7.6 + 3 < 11

10.6 < 11

But is that the largest value possible? No.

For example

y could be 3.99999999 Well maybe that could be the answer. No it isn't. Because, though very close to 11, it still cannot be 11. It might round to 11, but it does not equal 11.

I don't exactly know what you are expected to answer. I can only say that y cannot be 4, but it can be as close to 4 as you care to make it. If the question means what is the largest integer that y could be, then the answer is 3.

Answer:

Ellipse

Step-by-step explanation:

Given

[tex]x = 7sin\theta[/tex]

[tex]y= 2cos\theta[/tex]

Required

The kind of shapes with such equations

This answer to this question is(B) Ellipse

The parametric equation of an ellipse is represented as:

[tex]x = asin(\theta)[/tex] and [tex]y = bcos(\theta)[/tex]

In this case:

[tex]a=7\ b = 2[/tex]

So:

[tex]x = 7sin\theta[/tex] and [tex]y= 2cos\theta[/tex]