Answer:
The measure of side BC = 5 unit and The measure of side AC = 5 unit
Step-by-step explanation:
Given as :
In a triangle ΔABC
The measure of side = AB = 5 unit
The measure of angle A = ∠A = 45°
The measure of angle C = ∠C = 30°
Now, For a triangle the sum of three angles of triangle = 180°
∴, ∠A + ∠B + ∠C = 180°
Or, 45° + ∠B +30° = 180°
Or , ∠B = 180° - ( 45° + 30°)
Or, ∠B = 180° - 75°
i.e ∠B = 105°
<u>Now, From figure </u>
Sin 45° =
Or, =
Or, BC =
∴ BC = 5
So, The measure of side BC = 5 unit
<u>Again , from figure</u>
Cos 45° =
Or, =
Or, AC =
∴ AC = 5
So, The measure of side AC = 5 unit
Hence The measure of side BC = 5 unit and The measure of side AC = 5 unit Answer
Answer:
One solution (-1,2)
Step-by-step explanation:
Since these two linear equations have different slopes, different y-intercepts, and are indeed linear, these equations will only have one crossing when graphed, and hence one solution.
To find that solution, we can simply set the equations equal to each other.
y = -x + 1
y = 2x + 4
-x + 1 = 2x + 4
-3 = 3x
-1 = x
Now plug that value back into one of the equations:
y = -x + 1
y = -(-1) + 1
y = 2
So now you know the crossing for these two equations occurs at (-1,2).
Cheers.
Answer: Option 'B' is correct.
Step-by-step explanation:
since we have given that
Time taken to build a cabinet by Genna = 4 hours.
Time taken to build a cabinet by Claude = 3 hours
Now, time taken by both Genna and Claude to build a cabinet together is to be find.
Work done by Genna is given by
Work done by Claude is given by
According to question,
Hence, Option 'B' is correct.
I hope you’re having a wonderful day :)
Answer:
The value of x is 21 .
Step-by-step explanation:
We are given that x varies directly as y
--- A
We are given that x = 7 and y = 28
Substitute the values in A
7 = 28k
Now equations becomes :
y = 84
Hence The value of x is 21 .
#Learn more:
Find the value of y for a given value of x, if y varies directly with x.
If y = −252 when x = 84, what is y when x = 74
Step-by-step explanation: