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
Blababa [14]
3 years ago
5

True or false.

Mathematics
2 answers:
SashulF [63]3 years ago
8 0
The answer for the given question above is FALSE. <span>The sine of an angle in a right triangle is equal to the ratio of the length of the side OPPOSITE to the angle divided by the length of the hypotenuse. I hope this answer helps.</span>
ruslelena [56]3 years ago
7 0

Answer:  The given statement is FALSE.

Step-by-step explanation:  We are given to check whether he following statement is true or false :

"The sine of an angle in a right triangle is equal to the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse. "

Let us consider the right-angled triangle ABC as shown in the attached figure below.

With respect to acute angle C, we can see that

perpendicular, p = AB

base, b = BC

and

hypotenuse, h = AC.

We know that

sine of an angle in a right-angled triangle is equal to the ratio of the perpendicular to the base.

So, we must have

\sin \angle C=\dfrac{p}{h}\\\\\\\Rightarrow \sin \angle C=\dfrac{AB}{AC}.

Since AB is the opposite side to angle C, not adjacent, therefore

sine of any angle in a right-angled triangle is the ratio of the length of the OPPOSITE SIDE to length of the hypotenuse.

Thus, the given statement is FALSE.

You might be interested in
Find the value of x<br><br> Hurry please
omeli [17]

Answer:

6

come to z o o m

z o o m id 85675494491 pwd eu3nFG

8 0
3 years ago
Help me plz i need help on math i will give THANKS
atroni [7]
The answer is for your paper is 21
8 0
3 years ago
Ms. Moran has started an investment club at BSS. $8000 is invested, some at 10%
labwork [276]
The answer can be readily calculated using a single variable, x:

Let x = the amount being invested at an annual rate of 10%
Let (8000 - x) = the amount being invested at an annual rate of 12%

The problem is then stated as:

(x * 0.10) + ((8000 - x) * 0.12) = 900
0.10(x) + ((8000 * 0.12) - 0.12(x)) = 900
0.10(x) + 960 - 0.12(x) = 900
0.10(x) - 0.12(x) = 900 - 960
-0.02(x) = -60
-0.02(x) * -100/2 = -60 * -100/2
x = 6000 / 2
x = 3000

Thus, $3,000 is invested at 10% = $300 annually; and $8,000 - $3,000 = $5,000 invested at 12% = $600 annually, which sum to $900 annual investment.
6 0
2 years ago
Consider a nuclear power plant that produces 1200 MW of power and has a conversion efficiency of 34 percent (that is, for each u
cestrela7 [59]

Answer:

The amount of nuclear fuel required is 1.24 kg.

Step-by-step explanation:

From the principle of mass energy equivalence we know that energy generated by mass 'm' in an nuclear plant is

E=m\cdot c^2

where

'c' is the speed of light in free space

Since the power plant operates at 1200 MW thus the total energy produced in 1 year equals

E=1200\times 10^6\times 3600\times 24\times 365=3.8\times 10^{16}Joules

Thus using the energy produced in the energy equivalence we get

3.8\times 10^{16}=mass\times (3\times 10^{8})^2\\\\\therefore mass=\frac{3.8\times 10^{16}}{9\times 10^{16}}=0.422kg

Now since the efficiency of conversion is 34% thus the fuel required equals

mass_{required}=\frac{0.422}{0.34}=1.24kg

8 0
3 years ago
What single decimal multiplier would you use to decrease by 6% followed by a 19% increase?
Kryger [21]

Answer: 13% increase?

Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?

7 0
3 years ago
Read 2 more answers
Other questions:
  • The length of a rectangle is two more than the width. the perimeter is 36cm. write a system of equations that could be used to d
    7·1 answer
  • Find the slope of the line between (1, 5) and (3, 9)
    9·1 answer
  • The old record mentioned took place in 2004. Write and solve a subtraction equation to find which year this record - breaking ev
    5·2 answers
  • In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours (h &lt; 7) or after working more than 9
    5·2 answers
  • Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $
    6·2 answers
  • Hans is using frequent flier miles to fly to a location 750 miles away, but the airline he is using still charges $20.19 for fee
    10·1 answer
  • Identify the 42nd term of an arithmetic sequence where a_1=-12 and a_27=66
    15·2 answers
  • Consider angle θ in Quadrant ll, where cos θ= -12/13. what's the value of sin θ​
    8·1 answer
  • HELPPPPPPP IVE BEEN LISTENING TO MY COMFORT PLAYLIST STRESSING ABOUT THIS FOR TO LONG
    8·1 answer
  • Mark must at least 32 units of vitamin a 10 units of vitamin b and 55 units of vitamin c daily he can choose between pill #1 whi
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!