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QveST [7]
3 years ago
11

How many people scored below 80? 21 18 11 12

Mathematics
1 answer:
Airida [17]3 years ago
7 0
The answer would be 11
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The author received a total of $195,000 for the book sales. How many hardcover books were sold? Type in numbers only.
g100num [7]

Answer:

Total 390 hardcover books were sold

Step-by-step explanation:

Complete question

The author received a total of $195,000 for the book sales. How many hardcover books were sold if the cost of one hardcover book is  $500. Type in numbers only.

Solution

Given-

Total value of sale of hard cover = $195,000

Cost of one hardcover book = $500

Number of books sold = Total value of sale of hard cover/Cost of one hardcover book

Number of books sold =   $195,000/$500

Number of books sold = 390

Total 390 hardcover books were sold.

3 0
3 years ago
Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).
insens350 [35]

Answer:

\cos{\theta} = \dfrac{1}{52}

\csc{\theta} = \dfrac{52}{\sqrt{2703}}

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

\sec{\theta} = \dfrac{1}{\cos{\theta}}

we can substitute the value of sec(θ) in this equation:

52 = \dfrac{1}{\cos{\theta}}

and solve for for cos(θ)

\cos{\theta} = \dfrac{1}{52}

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by \theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ

b) since right triangle is mentioned in the question. We can use:

\cos{\theta} = \dfrac{\text{adj}}{\text{hyp}}

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:

  • length of the adjacent side = 1
  • length of the hypotenuse = 52

we can find the third side using the Pythagoras theorem.

(\text{hyp})^2=(\text{adj})^2+(\text{opp})^2

(52)^2=(1)^2+(\text{opp})^2

\text{opp}=\sqrt{(52)^2-1}

\text{opp}=\sqrt{2703}

  • length of the opposite side = √(2703) ≈ 51.9904

we can find the sin(θ) using this side:

\sin{\theta} = \dfrac{\text{opp}}{\text{hyp}}

\sin{\theta} = \dfrac{\sqrt{2703}}{52}}

and since \csc{\theta} = \dfrac{1}{\sin{\theta}}

\csc{\theta} = \dfrac{52}{\sqrt{2703}}

4 0
3 years ago
A quadratic function f is given <br> F(x)= x^2_4x+6 <br> Express f in standard form ?
Dennis_Churaev [7]

Hey there!

In the equation mentioned,

f represents function.

Hope my answer helps!

7 0
3 years ago
What time is 10 minutes before 8:00 in the morning? *
strojnjashka [21]

Answer: 7:50 AM

Step-by-step explanation:

The clock goes to 60 minutes so if you subtract 10 from 8:00 AM

It will start at 7:60

7:60-10 is 7:50

6 0
3 years ago
Read 2 more answers
If a ball rotates 110 degrees in 8 seconds, how many degrees does it rotate in 32 seconds?
Vlad1618 [11]
Well 32 divided by 8 would be 4 so... 32 x 4 would be 128 so 128 times. If it’s not correct I’m really sorry.
6 0
3 years ago
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