All categories

3 years ago

A pack of pencils contains 20 pencils. If Trish uses 3/4 of the pack, how many pencils will she use?

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

5 0

20/4 = 5
5X3 = 15

C is your answer

You might be interested in

Find the distance between the points ( -9, -2 ) and ( -1, 4 )

madam [21]

Answer:

the distance between the two points is 10

8 0

3 years ago

)Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the

konstantin123 [22]

Answer:

$a=\sqrt{7}$

$\text{tan}(A)=\frac{\sqrt{7}}{3}$

Step-by-step explanation:

Please find the attachment.

We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.

To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.

$a^2+b^2=c^2$

Upon substituting our given values in Pythagoras theorem, we will get:

$a^2+3^2=4^2$

$a^2+9=16$

$a^2+9-9=16-9$

$a^2=7$

Take square root of both sides:

$a=\sqrt{7}$

Therefore, the length of side 'a' is $\sqrt{7}$ units.

We know that tangent relates opposite side of a right triangle with adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

We can see that 'a' is opposite side of angle A and 'b' is adjacent side.

$\text{tan}(A)=\frac{a}{b}$

$\text{tan}(A)=\frac{\sqrt{7}}{3}$

Therefore, the value of tan(A) is $\frac{\sqrt{7}}{3}$ .

3 0

3 years ago

A triangle with side lengths of 5, 12, and

nikklg [1K]

Answer:

51.2

Step-by-step explanation:

$\frac{15}{5} = \frac{25}{x}$

15x = 120

x = 8

so now we know that 2 sides of the bigger triangle are 24 and 8

now

$\frac{8}{x} = \frac{5}{12}$

96 = 5x

x = 19.2

19.2 + 24 + 8

8 0

3 years ago

The speed of 10 cars on a certain highway stretch was recorded below. If the mean of the data is 63.2 with a standard deviation

AleksandrR [38]

Answer: 58

Step-by-step explanation:

5 0

2 years ago

A scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 35

Juliette [100K]

Answer:

<h2>After 5 hours</h2>

Step-by-step explanation:

If a scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour and the function y = 35 ∙ 3x models the number of bacteria after x hours, in order to estimate when there will be about 550 bacteria in the culture we will substitute y = 550 into the modeled equation and calculate the value of x as shown;

If y = 35*3x

when y = 550

550 = 35*3x

Dividing both sides by 35;

550/35 = 35*3x/35

3x = 550/35

x = 550/3*35

x = 550/105

x = 5.24

This means that there will be 550 bacteria in the culture after approximately 5 hours

3 0

3 years ago