A 92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St
2 answers:
Answer:
41.802 feet
Step-by-step explanation:
Given that a 92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St.
We can visualize a triangle formed by the three streets One side is 92 feet.
Angle opposite 92 feet =
Let x be length of Cove st and y length of Mateo st.
Using sine angle for triangles,
Simplify to get
x=52.595
y=87.207
Distance saved=
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Answer:
Step-by-step explanation:
Given
See attachment for her sketch
Required
Which equation do not represent the perimeter
From the attached sketch:
--- Length
--- Width
Perimeter (P) is calculated as:
This gives:
---- This represents (A)
Open bracket
---- This represents (B)
In algebra:
means
So, the expression becomes
--- This represents (D)
<em>This implies that (C) does not represent the perimeter</em>
Answer:
x = 8
Step-by-step explanation:
By first drawing a photo, pasted below, you can plot your points. Then use the formula:
a/c = b/d to plan out your equation
3x - 8/x = 16/x
Cross multiply so you then have:
16x = 3x^2 - 8x
24x = 3x^2
8 = x
To check:
3(8) - 8 = 16
24 - 8 = 16
16 = 16
Answer: (110.22, 125.78)
Step-by-step explanation:
The confidence interval for the population mean is given by :-
Given : Sample size = 463
Significance level :
Critical value :
We assume that the population is normally distributed.
Now, the 90% confidence interval for the population mean will be :-
Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)