Answer:
15 inches
Step-by-step explanation:
Since the rectangles are similar then the ratios of corresponding sides are equal.
let x be the other dimension in the second photograph, then
= 
( cross- multiply )
4x = 60 ( divide both sides by 4 )
x = 15
Thus the other dimension in the second photograph is 15 inches.
<u>X - Intercept</u>
x + 3y + 2z = 6
x + 3(0) + 2(0) = 6
x + 0 + 0 = 6
x + 0 = 6
<u> - 0 - 0</u>
x = 6
X - Intercept: (6, 0, 0)
<u>Y - Intercept</u>
x + 3y + 2z = 6
0 + 3y + 2(0) = 6
0 + 3y + 0 = 6
0 + 0 + 3y = 6
0 + 3y = 6
<u>- 0 - 0</u>
<u>3y</u> = <u>6</u>
3 3
y = 2
Y - Intercept: (0, 2, 0)
<u>Z - Intercept</u>
x + 3y + 2z = 6
0 + 3(0) 2z = 6
0 + 0 + 2z = 6
0 + 2z = 6
<u>- 0 - 0</u>
<u>2z</u> = <u>6</u>
2 2
z = 3
Z - Intercept: (0, 0, 3)
<u>Volume of the X - Intercept, Y - Intercept, and Z - Intercept</u>
V = ¹/₃(¹/₂lwh)
V = ¹/₃(¹/₂(6)(2)(3))
V = ¹/₃(¹/₂(12)(3))
V = ¹/₃(¹/₂(36))
V = ¹/₃(18)
V = 6 u³
Answer: 8 days.
Step-by-step explanation:
Given that Anna can do a job in 4 days. After she has worked for 1 day, she is joined by Sylvia, and it takes them 2 days working together to finish the job.
Since Anna has already worked for 1 day, she would have worked the remaining days for 3 days. But she is joined by Sylvia, and it takes them 2 days working together to finish the job.
That is,
1/3 + 1/S = 1/2
Where S is the number of days Sylvia to do the job being completed in 2 days.
1/S = 1/2 - 1/3
1/S = (3 - 2)/6
1/S = 1/6
S = 6
The job Anna would have done for 3 days, will take 6 days for Sylvia.
The 1 days used by Anna will be 2 days for Sylvia.
Therefore, the total days that will take Sylvia to do the whole job by herself will be 2 + 6 = 8 days
I think it is 20 seconds because when you multiply six times x, you get twelve. And in this case, the x equals two. So, because you multiplied two to six, you do the same thing to the ten seconds, which is twenty. Sorry if this is the wrong answer.
Answer:
Step-by-step explanation:
The mnemonic SOH CAH TOA helps you remember the definitions of the trig functions. In particular, the function that involves the Opposite side and the Hypotenuse is the Sine function:
... Sin = Opposite/Hypotenuse
In this problem that means ...
... sin(55°) = x/(12 ft)
Multiplying by 12 ft, we have ...
... (12 ft)·sin(55°) = x ≈ 9.82982 ft ≈ 9.8 ft
