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NeX [460]
3 years ago
6

What is the value of x? sin 49° = COS X Enter your answer in the box. X =

Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0

Answer:

x = 41°

Step-by-step explanation:

Using the cofunction identity

sinx = cos(90 - x) , then

sin49° = cos(90 - 49)° = cos49°

with x = 41°

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Using the diagram below, identify the relationship of the pair of angles and find the value of x.
ziro4ka [17]

Answer:

The angles are supplementary to each other (their sum is 180 degrees)

x = 62°

Step-by-step explanation:

(2x+10) + 46 = 180

subtract 56 from each side

2x = 124

divide both sides by 2

x = 62°

5 0
3 years ago
Solve the inequality<br> <img src="https://tex.z-dn.net/?f=2%285c-7%29%5Cgeq%2010%28c-3%29" id="TexFormula1" title="2(5c-7)\geq
alina1380 [7]

1 Remove parentheses.

2(5c−7)≥c−3

2 Expand.
10c−14 ≥ c −3


3 Add 14 to both sides.
10c-14+14≥ c − 3+14


4 Simplify c−3+14 to c+11
10c≥c+11

5 Subtract c from both sides.

10c−c≥11

6 Simplify 10c−c to 9c
9c≥11

7 Divide both sides by 9.
c ≥11/9
​
​​
5 0
2 years ago
A train left a station a station at noon going 40mph. A second train left at 3 p.m. going 60mph. At what time will the second tr
Sati [7]

Here speed of first train is slower than speed of second train. So if they catch up , the distance traveled will be same since they left the same station at different times.

But the time traveled will be different .

Let us say the two trains meet at time t ,

Distance = speed * time

Distance traveled by first train = 40 t

Since second train is leaving after three hours , so

Distance traveled by second train = 60(t-3)

As discussed earlier, distance traveled will be same, so

40t =60(t-3)

distributing 60 over t-3

40t =60t-180

60t -40t=180

20t =180

t =180/20

t=9

So the second train will meet the first at 9 p.m.

5 0
3 years ago
Read 2 more answers
Find the limit of the function by using direct substitution.
serg [7]

Answer:

Option a.

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

Step-by-step explanation:

You have the following limit:

\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}

The method of direct substitution consists of substituting the value of \frac{\pi}{2} in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing x=\frac{\pi}{2}

Therefore:

\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}

cos(\frac{\pi}{2})=0\\

By definition, any number raised to exponent 0 is equal to 1

So

\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\

\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1

Finally

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

6 0
3 years ago
Find the value of x<br> PLEAASEEE HELP!!!
vodomira [7]

Answer:

x = 37

Step-by-step explanation:

4x + 3 + x - 8 = 180

4x + x - 8 + 3 = 180

5x - 5 = 180

5x = 185

x = 37

Hope this helps!

7 0
3 years ago
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