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3 years ago

There are 20 counters in a bag.

Mathematics

1 answer:

nlexa [21]3 years ago

4 0

Answer:

0.75

Step-by-step explanation:

Green = 20 - 3 - 2 - 5 = 10

Yellow or green = 5+10 = 15

P(yellow or green) = 15/20

= 3/4 = 0.75

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Given the speeds of each runner below, determine who runs the fastest. \text{Katie runs 10 feet per second.} Katie runs 10 feet

Mrrafil [7]

Answer:

noah

Step-by-step explanation:

katie = 10 f/s

ron = 466 f/33s

noah = 559 f/60s

katie = 10 f/s

ron = 466/33 = 14.1212...f/s

noah = 559/60 = 9.3166...f/s

noah is the fastest

4 0

3 years ago

Find the length of side AB Give answer to 3 significant figures

Rina8888 [55]

Answer:

AB = 8.857 cm

Step-by-step explanation:

Here, we are given a right angle $\triangle ABC$ in which we have the following things:

$\angle A = 90 ^\circ\\\angle C = 41 ^\circ\\\text{Side }BC = 13.5 cm$

Side BC is the hypotenuse here.

We have to find the side AB.

Trigonometric functions can be helpful to find the value of Side AB here.

Calculating $\angle B$ :

Sum of all the angles in $\triangle ABC$ is $180^\circ$ .

$\Rightarrow \angle A + \angle B + \angle C = 180^\circ\\\Rightarrow 90^\circ + \angle B + 41^\circ = 180^\circ\\\Rightarrow \angle B = 49^\circ$

We know that cosine of an angle is:

$cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\Rightarrow cos B = \dfrac{AB}{BC}\\\Rightarrow cos 49^\circ = \dfrac{AB}{13.5}\\\Rightarrow AB = 13.5 \times 0.656\\\Rightarrow AB = 8.857 cm$

So, side AB = 8.857 cm .

6 0

3 years ago

Colton earns $7 per hour plus $1.50 for each pizza delivery. The expression 7h+1.50d can be used to find the total earnings afte

Fed [463]

He would make $117 because 7x15=105 and 1.50x8=$12.00 add that together you get 117

4 0

3 years ago

Read 2 more answers

Select Translation, Reflection, or Rotation to identify the single transformation that transforms ∆PQR to ∆P'Q'R'.

Sergeeva-Olga [200]

Part A

Represents 'Reflection'. This is so because the y-coordinates of P, Q and R remain the same in P' , Q' and R', and only the x-coordinate changes. Hence, it is reflection along the y-axis

Part B

Represents 'Rotation'. Here, the x-coordinates and y-coordinates of each of the points have changed, and the figure has been rotated clockwise around the point Q by 90°

Part C

Represents a combination of 'Translation' and 'Reflection'. Here either of the two has happened:

First, all the points have been moved downwards by a fixed distance, thus changing the y-coordinate. Then, the resulting image has been reflected along the y-axis, thus changing the x-coordinate of all the points
First, all the points have been moved to the right by a fixed distance, thus changing the x-coordinate. Then, the resulting image has been reflected along the x-axis, thus changing the y-coordinate of all the points

Part D

Represents 2 'Translations'. Here the image has been shifted by a fixed distance in both the downward direction and the right direction. Thus, it has resulted in change of both x and y coordinates.

8 0

3 years ago

What is the volume of the rectangular prism in the figure shown?

ra1l [238]

We know that, Volume of a Rectangular Prism is given by :

✿ {Length × Width × Height}

Given : The Length of Rectangular Prism = 5.5

Given : The Width of Rectangular Prism = 6

Given : The Height of Rectangular Prism = 3

⇒ The Volume of given Rectangular Prism = {5.5 × 6 × 3}

⇒ The Volume of given Rectangular Prism = 99

3 0

3 years ago

Read 2 more answers