Answer:
D. -6m²n² + 10m²n + 8mn² - 10mn
Step-by-step explanation:
(-7mn + 8mn² - 8m²n²) + (10m²n + 2m²n² - 3mn)
Apply the distributive property to remove the parentheses
-7mn + 8mn² - 8m²n² + 10m²n + 2m²n² - 3mn
Combine like terms together and arrange in standard form
-7mn + 8mn² - 8m²n² + 10m²n + 2m²n² - 3mn
-8m²n² + 2m²n² + 10m²n + 8mn² - 7mn - 3mn
-6m²n² + 10m²n + 8mn² - 10mn
Answer:
The three questions about the given triangle has been answered below.
Step-by-step explanation:
We are given a right angled triangle whose sides are of length 20, 21 and 29.
<u>(1)</u> sin(B) = 
= 
= 0.72
<u>(2)</u> sin(A) = 
sin(A) = 0.689
∠CAB = 
∠CAB = 43.551°
<u>(3)</u> We suppose that cosA < sinA and we haveto find which all angles will satisfy this condition.For this the angle A should be greater than 45°.
From the given options the angles that satisfy this are 55 , 66 and 75.
45 is not included as then sinA = cosA and that condition is not there.
Answer:
Option C is correct.
She is not correct as she use the wrong y intercepts when graphing the equations.
Step-by-step explanation:
Given the system of equations:
.....[1]
. .....[2]
equate these two equations we get;

Add 5 to both sides we get;

Add 2x to both sides we have;

Multiply both sides by 3 we get;
8x = 24
Divide both sides by 8 we get;
x = 3
Substitute the value of x in [2] we have;
y = -2(3)+3 = -6+3
Simplify:
y = -3
Therefore, the correct solution for this given system of equation is (3, -3)
You can see the graph of these equations below.
The cosine of 30° is √3 / 2.
Since cosine is Adjacent over Hypotenuse, Hypotenuse = (2 / √3) * 9 = 18 / √3.
The cosine of 45° is √2 / 2.
Therefore, X = (2 / √2) * (18 / √3) = 36 / √6 = 18 / √1.5 = C
Answer:
x = 25 degrees ∠HKL = 102 degrees
Step-by-step explanation:
The whole thing equals 180, since it is a straight angle
The value of HKL is 180 - 78 = 102
So that means 4x + 2 = 102
Subtract 2 from both sides:
4x = 100
Divide both sides by 4:
x = 25