Answer:
V=850√3cm³
Step-by-step explanation:
These are dimensions of the triangular prism:
a=10cm
H=34cm
V=BH
B= a²✓3/4 (:4)
B=10²√3/4
B=100√3/4
B=25√3cm²
H=34 cm
And you get volume by this formula
V=BH
V=25√3* 34
V=850√3cm³
Answer:
Step-by-step explanation:
The sum of 83 and a number would be as an expression, where 
is "said number".
Answer:
- (3, 4) is the solution to both lines A and B.
Step-by-step explanation:
<u>Given</u>
- Line A with points (2, 6) and (5, 0)
- Line B with points (0, 2) and (6, 6)
<u>Lets get the equations for both lines</u>
Line A
- y = mx + b
- m = (0 - 6)/( 5 - 2) = -2
- 6 = 2*(-2) + b ⇒ b = 6+ 4 = 10
- y = - 2x + 10
Line B
- m = (6 - 2)/( 6 - 0) = 4/6 = 2/3
- b = 2 as per point (0, 2)
- y = 2/3x + 2
<u>We got two equations:</u>
- y = -2x + 10
- y = 2/3x + 2
<u>Solving the system:</u>
- -2x + 10 = 2/3x + 2
- 8/3x = 8
- x = 3 ⇒ y = 4
- (3, 4)
<u>Verifying answer options</u>
- (3, 4) is the solution to both lines A and B. YES
- (3, 4) is the solution to line A but not to line B. NO
- (0, 2) is the solution to both lines A and B. NO
- (0, 2) is the solution to line A but not to line B. NO
Answer:
0.85
Step-by-step explanation:
The given standard deviation of a population (σ) = 7.8
sample size (N) = 85
We have to find standard error of the mean.
The formula to find standard error of the mean
= (standard deviation of the distribution) / (square root of sample size)
= (σ) / (√N)
= 7.8 / (√85)
= 7.8 / 9.219544457
= 0.8460
= 0.85 (approximately taken to two decimal places)
We have got the required answer.
The standard error of the mean is 0.85.
