Answer:
17.3
Step-by-step explanation:
area of paralellogram=base x height
height=sin(60) x 4= 
area = 5 x
= 
= 17.3(to nearest tenth)
Answer:
no solution
Step-by-step explanation:
|x| + 7 < 4
Subtract 7 from each side
|x| + 7-7 < 4-7
|x| < -3
But an absolute value must be greater than or equal to zero
There is no solution
You can use the vertical angles theorem to find the value of x.
2x+84=5x
84=3x
x=28
Now, since <TSV and >PSV are linear pairs, you can add PSV and TSV. To do this, you have to find the value of PSV.
PSV=5x
x=28, so PSV = 5(28)
PSV=140°.
Now, find TSV.
180°-140°=40°
m<TSV=40°, or B.
Answer:
see explanation
Step-by-step explanation:
If there is a solution between x = 1.1 and x = 1.2 then there will be a change in sign when the equation is evaluated at the points, indicating the graph has crossed the x- axis, where the solution lies.
Given
x³ + 4x = 6 ( subtract 6 from both sides )
x³ + 4x - 6 = 0 ← in standard form
Evaluating for x = 1.1
(1.1)³ + 4(1.1) - 6
= 1.331 + 4.4 - 6 = - 0.269 ← < 0
Evaluating for x = 1.2
(1.2)³ + 4(1.2) - 6
= 1.728 + 4.8 - 6 = 0.528 ← > 0
Since there is a change in sign the graph has crossed the x-axis from below / indicating a solution between x = 1.1 and x = 1.2
