Answer:
−9.333
Step-by-step explanation:
(1): "6.75" was replaced by "(675/100)"
(675/100)+3/8*x-((13)*1/4)=0
Simplify 1/4
675 3 1
(———+(—•x))-(13•—) = 0
100 8 4
3
Simplify —
8
Equation at the end of step
2
:
675 3 13
(——— + (— • x)) - —— = 0
100 8 4
STEP
3
:
27
Simplify ——
4
Equation at the end of step
3
:
27 3x 13
(—— + ——) - —— = 0
4 8 4
Step-by-step explanation:
Answer:
Last choice is correct.
Step-by-step explanation:
Given that ∠C=90°, ∠B=30°, c=10
We know that sum of all angles in a triangle is 180 degree.
∠A+∠B+∠C=180°
∠A+∠30°+∠90°=180°
∠A+∠120°=180°
∠A=60°
Now we can use sin or cos whichever applicable to find missing sides
2b=10
b=5
Similarly
a=8.6602
Hence last choice is correct.
Answer:
x = -2
y = 5
Step-by-step explanation:
Given two equations
1. 7x + 10y = 36
2. y = 2x + 9
Substitute 2x + 9 for y in equation 1.
We have
7x + 10y = 36
7x + 10(2x + 9) = 36
Distribute 10 into (2x + 9)
We have
7x + 10 x 2x + 10 x 9 = 36
7x + 20x + 90 = 36
27x + 90 = 36
Subtract 90 from both sides to eliminate 90 on the left side
27x + 90 - 90 = 36 - 90
27x = -54
Divide both sides by 27 to isolate x
27x/27 = -54/27
x = -2
Now substitute -2 into either equation to get y
Using equation 2, we have
y = 2x + 9
= 2 x -2 + 9
= -4 + 9
= 5
x = -2
y = 5
Check
7(-2) + 10(5) = 36
Beginning with the function y = sin x, which would have range from -1 to 1 and period of 2pi:
Vertical compression of 1/2 compresses the range from -1/2 to 1/2
Phase shift of pi/2 to the left
Horizontal stretch to a period of 4pi, as the crests are at -4pi, 0, 4pi
Vertical shift of 1 unit up moves the range to 1/2 to 3/2
So the first choice looks like a good answer.
22+2/2=23
22 is whole number
one plus sign
and 2/2 is the fraction
4 digits are 2
