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BabaBlast [244]
3 years ago
5

42.1% of 375.4 =

Mathematics
1 answer:
igomit [66]3 years ago
7 0
The answer is 0.744 just do the math 
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① 5J+2S =12.20 ② 5J+ 10S =15.80 elimination method
hram777 [196]

Answer:

<h2>S = 9/20</h2><h2>J = 113/50</h2>

Step-by-step explanation:

5J +2S =12.20 ........(1)\\5J+10S=15.80......(2)\\Multiply \:equation \:(1)\:by\:the\:coefficient\:of\:x\:in equation\:(2)\\\\Multiply\:equation(2)\: by\: the\: coefficient\:of \:x\: in \:equation (1)\\\\5J +2S =12.20 ........(1) \times 5\\5J+10S=15.80......(2)\times 5\\\\25J+10S=61......(3)\\25J+50S = 79......(4)\\Subtract\:equation\:(4)\:from\: equation\: (3)\\-40S =-18\\\frac{-40S}{-40}=\frac{-18}{-40}\\  S = 9/20\\

Substitute \:9/20\:for \:x \:in\:equation\:(1)\:or \:equation\:(2)\\5J+2S = 12.20\\5J +2(9/20) =12.20\\5J +9/10=12.20\\5J=12.20-9/10\\5J=113/10\\Cross-Multiply\\50J = 113\\J = 113/50

4 0
3 years ago
cos theta = 4/5, 0˚&lt; theta &lt; 90˚ use the information given to find sin2theta, cos2theta, and tan 2theta
NikAS [45]
First calculate \sin\theta.

\sin^2\theta+\cos^2\theta=1\\\\\sin^2\theta=1-\cos^2\theta\\\\\sin^2\theta=1-\left(\dfrac{4}{5}\right)^2\\\\\\\sin^2\theta=1-\dfrac{16}{25}\\\\\\\sin^2\theta=\dfrac{9}{25}\quad|\sqrt{(\dots)}\\\\\\\sin\theta=\sqrt{\dfrac{9}{25}}\\\\\\\boxed{\sin\theta=\dfrac{3}{5}}

We take positive value of sinθ because 0° < θ < 90°
Now we could calculate sin2θ, cos2θ and tan2θ:

\sin2\theta=2\sin\theta\cos\theta=2\cdot\dfrac{3}{5}\cdot\dfrac{4}{5}=\dfrac{2\cdot3\cdot4}{5\cdot5}=\dfrac{24}{25}\\\\\\\cos2\theta=\cos^2\theta-\sin^2\theta=\left(\dfrac{4}{5}\right)^2-\left(\dfrac{3}{5}\right)^2=\dfrac{16}{25}-\dfrac{9}{25}=\dfrac{7}{25}\\\\\\&#10;\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=\dfrac{\frac{24}{25}}{\frac{7}{25}}=\dfrac{24\cdot25}{7\cdot25}=\dfrac{24}{7}=3\dfrac{3}{7}
5 0
3 years ago
Read 2 more answers
A one-year-old car is now worth AED 12 000.
masha68 [24]

Answer:

AED 15,000

Step-by-step explanation:

Depreciation is a reduction in the value or worth of an asset as a result of use.

Given that the car is depreciated by 20%, it means that the value of the car after the application of depreciation is the result of the original price of the car less the amount of depreciation which has been given as 20% of the original price.

Let the original price of the car (its price when it was new) be T then

T - 0.2T = 12,000

0.8T = 12,000

T = 12,000/0.8

= AED 15,000

3 0
3 years ago
Solve the proportion<br> 8<br> 000<br> 3<br> 1<br> a<br> C. 8<br> b.<br> 001001<br> d<br> 9
kozerog [31]

Answer: what kinda math is this if i may ask?

Step-by-step explanation:

7 0
3 years ago
3) help I have the answers to these I just need to show the work
Rom4ik [11]

Answer:

well, I think b would be correct if we use the cosine rule but according to my calculations a is the answer when we use sin rule but I'm not really sure.

5 0
2 years ago
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