Answer:
1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+24+13=2x−16
x+ 1 2 + 1 3 =2x+ −1 6
(x)+( 1 2 + 1 3 )=2x+ −1 6 (Combine Like Terms)
x+ 5 6 =2x+ −1 6
x+ 5 6 =2x+ −1 6
Step 2: Subtract 2x from both sides.
x+ 5 6 −2x=2x+ −1 6 −2x
−x+ 5 6 = −1 6
Step 3: Subtract 5/6 from both sides.
−x+ 5 6 − 5 6 = −1 6 − 5 6
−x=−1
Step 4: Divide both sides by -1.
−x −1 = −1 −1
x=1
Answer:
30 oranges
Step-by-step explanation:
2 apples : 5 oranges
12 apples : 30 oranges
because 12 apples is 6 times the original ratio, so we multiply the 5 oranges by 6 too.
Answer:
1. C=35m?
2.C=700 or $700
Step-by-step explanation:
1. Total Cost= Rate x Number of Months
2. C=35m
Cost=rate x number of months
C=35(20)
C=700 or Total Cost=$700
Surface Area of the figure is 1208 square centimeters
a=20
b=13
c=12
d=5
e=8
Top face:
A1=a×e=20×8
ae=160
Bottom face:
A2(a+2d)×e=(20+2×5)×8=(20+10)×8=30×8
(a+2d)e=240
Front face:
Rectangle
a×c=20×12=240
Triangle:
12c×d=12×12×5=6×5=30
A3Rectangle +2 triangles
240+2×30=240+60=300
(a+d)c=300
Slant face:
A4=b×e=13×8=104
be=104
Total surface area
A=A1+A2+2(A3+A4)
A1=160
A2=240
A3=300
A4=104
Thus,
A=160+240+2(300+104)
A=400+2(404)
A=400+808=1208
Surface Area of the figure is 1208 square centimeters
Answer: X = 44.4 degrees
Step-by-step explanation: The figure given is a right angled triangle with two sides given as well as one angle unknown.
Angle X, which is the unknown, is the reference angle in this question. So we have an opposite which is the side facing the reference angle (line 7 units) and we have an hypotenuse which is the side facing the right angle (line 10). Having an opposite and an hypotenuse, we can use the trigonometric ratio of sine.
SinX = opposite/hypotenuse
SinX = 7/10
SinX = 0.7000
Looking up a table of values or checking the calculator, 0.7000 under sine of angles gives 44.4270
Therefore angle X is approximately 44.4 degrees (approximated to the nearest tenth)
