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
vovangra [49]
3 years ago
11

What’s this answer ?

Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0

To solve this problem, first we should figure out how many of Jorge's classmates and relatives like salsa music.


56% of Jorge's 75 classmates like salsa music. To find out how many classmates that is, we need to multiply 56% * 75 (remember that of means multiplication in math). But, we can't really multiply a percentage, so we must convert this into a decimal. To do this, we remember that 56% = 56/100, and then we divide to get 0.56 (you can also move the decimal point two places to the left). So now we can multiply:

0.56 * 75 = 42


Similarly, 80% of Jorge's 60 relatives like salsa music. 80% = 80/100 = 0.8.

0.8 * 60 = 48


48 of Jorge's relatives like salsa music and 42 of Jorge's classmates like salsa music. To find out how many more of his relatives like salsa music, we should subtract the number of classmates from the number of relatives, as follows:


48 - 42 = 6


Therefore, the answer is A) 6.


Hope this helps!

You might be interested in
What operation would you use to convert cups to gallons? Explain
rjkz [21]
You would divide because the amount of gallons is greater than the number of cups.
Ex: there are 16 cups how many gallons
1 gallon divide. 16/16

7 0
4 years ago
Find the value or X. Round your answer to the nearest tenth.
RSB [31]

Answer:

x = 9.3

Step-by-step explanation:

tan 25° = x/20

0.4663 = x/20

x = 9.3

5 0
3 years ago
Help me pls! Thank you so much
frosja888 [35]
\bf cos\left[tan^{-1}\left(\frac{12}{5}  \right)+ tan^{-1}\left(\frac{-8}{15}  \right) \right]\\
\left. \qquad  \qquad  \quad   \right.\uparrow \qquad \qquad  \qquad  \uparrow \\
\left. \qquad  \qquad  \quad   \right.\alpha \qquad \qquad  \qquad  \beta
\\\\\\
\textit{that simply means }tan(\alpha)=\cfrac{12}{5}\qquad and\qquad tan(\beta)=\cfrac{-8}{5}
\\\\\\
\textit{so, we're really looking for }cos(\alpha+\beta)

now.. hmmm -8/15  is rather ambiguous, since the negative sign is in front of the rational, and either 8 or 15 can be negative, now, we happen to choose the 8 to get the minus, but it could have been 8/-15

ok, well hmm so, the issue boils down to 

\bf tan(\theta)=\cfrac{opposite}{adjacent}\qquad thus
\\\\\\
tan(\alpha)=\cfrac{12}{5}\cfrac{\leftarrow opposite=b}{\leftarrow  adjacent=a}
\\\\\\
\textit{so, what is the hypotenuse "c"?}\\
\textit{ well, let's use the pythagorean theorem}
\\\\\\
c=\sqrt{a^2+b^2}\implies c=\sqrt{25+144}\implies c=\sqrt{169}\implies \boxed{c=13}\\\\
-----------------------------\\\\
\textit{this simply means }\boxed{cos(\alpha)=\cfrac{5}{13}\qquad \qquad sin(\alpha)=\cfrac{12}{13}
}


now, let's take a peek at the second angle, angle β

\bf tan(\beta)=\cfrac{-8}{15}\cfrac{\leftarrow opposite=b}{\leftarrow adjacent=a}
\\\\\\
\textit{again, let's find "c", or the hypotenuse}
\\\\\\
c=\sqrt{15^2+(-8)^2}\implies c=\sqrt{289}\implies \boxed{c=17}\\\\
-----------------------------\\\\
thus\qquad \boxed{cos(\beta)=\cfrac{15}{17}\qquad \qquad sin(\beta)=\cfrac{-8}{17}}

now, with that in mind, let's use the angle sum identity for cosine

\bf cos({{ \alpha}} + {{ \beta}})= cos({{ \alpha}})cos({{ \beta}})- sin({{ \alpha}})sin({{ \beta}})\\\\
-----------------------------\\\\
cos({{ \alpha}} + {{ \beta}})= \left( \cfrac{5}{13} \right)\left( \cfrac{15}{17} \right)-\left( \cfrac{12}{13} \right)\left( \cfrac{-8}{17} \right)
\\\\\\
cos({{ \alpha}} + {{ \beta}})= \cfrac{75}{221}-\cfrac{-96}{221}\implies cos({{ \alpha}} + {{ \beta}})= \cfrac{75}{221}+\cfrac{96}{221}
\\\\\\
\boxed{cos({{ \alpha}} + {{ \beta}})=\cfrac{171}{221}}

8 0
3 years ago
How do you find x for a 45-45-90 triangle
Vladimir79 [104]
In a 45 45 90 triangle, the hypotenuse equals the length of the leg multiplied by the square root of 2.
Therefore, x = 6 * square toot (2)
which equals <span> <span> <span> 8.48528</span></span></span>...

Source:
http://www.1728.org/trig2.htm



6 0
4 years ago
while exercising adam jogged 4 4/5 kilometers and walked 2 3/5 kilometers. What is the total distance he traveled
Angelina_Jolie [31]
7 2/5 should be the answer
4 0
3 years ago
Other questions:
  • The figure below is a square pyramid where the height of the pyramid is 2 centimeters and the volume is 24 cubic centimeters. If
    13·1 answer
  • Rudy has $584.00. Does he have enough to buy a viola and an oboe ? How much is needed?
    6·2 answers
  • Write the prime factorization of these numbers 18
    7·1 answer
  • Find the volume of the figure 14cm 8cm 10cm 10 cm 10 cm 8 cm
    10·2 answers
  • I need an answer for this ASAP thanks.
    15·2 answers
  • Helpp meeeeeeee plsssssa
    15·1 answer
  • Robert has to make monthly car payments of $ 210​
    6·1 answer
  • an airplane decends 1.6 miles to an elavation of 5.95 miles. Find the elavation of the plane before its descent. the initial ela
    10·1 answer
  • If Marlee rolls the number cube 12 times, how many times would she expect to get a number greater than 4
    9·1 answer
  • Help!!i will mark brainlyest!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!