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2 years ago

10

Sure face of a prism

1 answer:

vladimir2022 [97]2 years ago

5 0

Answer:

Step-by-step explanation:

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Loretta places 20 red tiles in a bag. How many blue tiles must be added to the bag to make the probability of randomly drawing a

Galina-37 [17]

Answer:

If the number of blue tiles in the bag is 180, then the probability of randomly drawing a red tile equal to 1/10.

Step-by-step explanation:

Total number of red tiles in a bag = 20

Let us assume the number of blue tiles in a bag = p

So, the total number of tiles in a bag = Red Tiles + Blue tiles

= 20 + p

Now, let us find the probability of drawing a red tile:

$\textrm{The probability of drawing a red tile} = \frac{\textrm{Total Number of red tiles}}{\textrm{Total Tiles}}\\= \frac{20}{20 + p}$

But, here the probability of drawing a red tile = 1/10

$\implies \frac{1}{10} = \frac{20}{20+p} \\\implies 20 + p = 200\\\implies p = 200- 20 = 180$

or, p = 180

Hence, if the number of blue tiles in the bag = 180, then the P Picking out a red tile ) is 1/10.

5 0

2 years ago

If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle?

Leni [432]

Answer:

1.6 units

Step-by-step explanation:

Coordinates of A : (-1,1)

Coordinates of B : (3,2)

Coordinates of C :( -1,-1)

Now to find the length of the sides of the triangle we will use distance formula :

$d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

To find length of AB

A = $(x_1,y_1)=(-1,1)$

B= $(x_2,y_2)=(3,2)$

Now substitute the values in the formula:

$d =\sqrt{(3-(-1))^2+(2-1)^2}$

$d =\sqrt{(4)^2+(1)^2}$

$d =\sqrt{16+1}$

$d =\sqrt{17}$

$d =4.12$

Now to find length of BC

B= $(x_1,y_1)=(3,2)$

C = $(x_2,y_2)=(-1,-1)$

Now substitute the values in the formula:

$d =\sqrt{(-1-3)^2+(-1-2)^2}$

$d =\sqrt{(-4)^2+(-3)^2}$

$d =\sqrt{16+9}$

$d =\sqrt{25}$

$d =5$

Now to find length of AC

A = $(x_1,y_1)=(-1,1)$

C = $(x_2,y_2)=(-1,-1)$

Now substitute the values in the formula:

$d =\sqrt{(-1-(-1))^2+(-1-1)^2}$

$d =\sqrt{(0)^2+(-2)^2}$

$d =\sqrt{4}$

$d =2$

Thus the sides of triangle are of length 4.12, 5 and 2

Now to find area of triangle we will use heron's formula :

To calculate the area of given triangle we will use the heron's formula :

$Area = \sqrt{s(s-a)(s-b)(s-c)}$

Where $s = \frac{a+b+c}{2}$

a,b,c are the side lengths of triangle

a = 4.12

b=5

c=2

Substitute the values

Now substitute the values :

$s = \frac{4.12+5+2}{2}$

$s =5.56$

$Area = \sqrt{5.56(5.56-4.12)(5.56-5)(5.56-2)}$

$Area = 3.99$

Now to find the height of altitude corresponding to side BC

So, formula of area of triangle $=\frac{1}{2} \times Base \times Height$

Since Area = 3.99 square units

So, $3.99 =\frac{1}{2} \times BC \times Height$

So, $3.99 =\frac{1}{2} \times 5\times Height$

$3.99 =2.5 \times Height$

$\frac{3.99}{2.5}=Height$

$1.596=Height$

Thus the altitude corresponding to the BC is of length 1.596 unit ≈ 1.6 units

Thus Option D is correct.

7 0

2 years ago

Read 2 more answers

Please help <br> answer quickly

ExtremeBDS [4]

Both of the answers are 32. if you want me to work it out for you i will in the comments

4 0

2 years ago

Hallo! I have a question for you to answer! Please answer if you can C: its worth 10 points and brainliest!

8090 [49]

Answer:

2 2/5

Step-by-step explanation:

3/4 divided by 5/16 = 3/4 times 16/5, which equals 48/20.

4 goes into each.

thus, giving you 12/5.

we write this as a mixed number, which gives us 2 2/5

4 0

2 years ago

Gil charges $5 per bracelet plus $2 for each string colour. If Gil makes 3 bracelets

hichkok12 [17]

Answer: 15 + 2x

Step-by-step explanation:

5b + 2x

5 (3) + 2x

15 + 2x

I think I'm right so I hope it helped!!

8 0

2 years ago

Read 2 more answers