1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Doss [256]
3 years ago
11

Daniel had a social studies quiz he answered 87 out of 100 exercises correctly write a decimal to show the part of the quiz that

Daniel answered correctly
Mathematics
1 answer:
ss7ja [257]3 years ago
6 0

Answer:

the answer is 0.87 good luck

You might be interested in
Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE
AVprozaik [17]

Answer:

D

Step-by-step explanation:

We are given that:

\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi

And we want to find the value of tan(2<em>x</em>).

Note that since <em>x</em> is between π/2 and π, it is in QII.

In QII, cosine and tangent are negative and only sine is positive.

We can rewrite our expression as:

\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}

Using double angle identities:

\displaystyle  \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(<em>x</em>) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.

From the above information, substitute in appropriate values. And since <em>x</em> is in QII, cosine and tangent will be negative while sine will be positive. Hence:

<h2>\displaystyle  \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}</h2>

Simplify:

\displaystyle  \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}

Evaluate:

\displaystyle  \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}

The final answer is positive, so we can eliminate A and B.

We can simplify D to:

\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}

So, our answer is D.

7 0
3 years ago
Write the least common multiple of 120 and 80
Olin [163]
The least common multiple would be 240.
120(2)=240 AND
80(3)=240
6 0
3 years ago
Please I need the answer PLEASEEEEEEEEEEEEEEEEEE!
Ilya [14]

Answer: The first one

Step-by-step explanation:

3 0
3 years ago
A second game uses spinner B. A player must spin a Wto win. Explain how to find the experimental probability of spinning a W.
Volgvan

Answer:

sorry foe being late

Step-by-step explanation:

8 0
3 years ago
A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?
beks73 [17]

Slope = (2 + 1) / (-5 - 10) = -3/15 = - 1/5

Equation

y - 2 = -1/5 (x + 5)

y - 2 = -1/5 x - 1

y = -1/5 x + 1

Answer

y = -1/5 x + 1

6 0
3 years ago
Read 2 more answers
Other questions:
  • David and Jillian are playing a board game together. Jillian wants to trade her wool cards for David's ore cards. The double num
    7·2 answers
  • In 2012, the average donation to the help way was $225 with a standard deviation of $45. in 2013, the average donation was $400
    15·1 answer
  • In a game the average score was 60 time score was 5/2 of the average what was Tim’s score?
    9·1 answer
  • Eighteen is fifteen less than the product of a number and three .Find the number
    12·1 answer
  • PLS HELP ON GEOMETRY
    13·1 answer
  • Paul and his friends average their test grades and find that the average is 95 the teacher announces that the average grade of a
    12·1 answer
  • Maya adds 6 grams of sugar to a bottle containing 14 grams of warm water. What is the total weight of the sugar and water?
    6·1 answer
  • I really need help asapppppp
    12·2 answers
  • Which expression is equivalent to​
    6·1 answer
  • A fish tank is three-fourths full.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!