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Mrrafil [7]
3 years ago
14

The picture shows a triangular island: Which expression shows the value of c?

Mathematics
1 answer:
xenn [34]3 years ago
8 0

Answer:

c = b/cos 45

Step-by-step explanation:

SOHCAHTOA

  • We use Cos
  • Cos 45 = b/c
  • c = b/cos 45
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Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior
Ne4ueva [31]

Answer:

H0 : μd = 0

H1 : μd ≠ 0

Test statistic = 0.6687 ;

Pvalue = 0.7482 ;

Fail to reject H0.

Step-by-step explanation:

H0 : μd = 0

H1 : μd ≠ 0

Given the data:

Before: 15 26 66 115 62 64

After: 16 24 42 80 78 73

Difference = -1 2 24 35 -18 -9

Mean difference, d ; Σd / n

d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))

d = Σx / n = 33 / 6 = 5.5

Test statistic = (d / std / sqrt(n))

std = sample standard deviation = 20.146

Test statistic = 5.5 ÷ (20.146/sqrt(6))

Test statistic = 0.6687

The Pvalue :

P(Z < 0.6687) = 0.7482

At α = 0.05

Pvalue > α ; Hence we fail to reject H0

The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

5 0
3 years ago
The amount of radioactive element remaining, r, in a 100mg sample after d days is represented using the equation r=100(1/2) d/5.
Ludmilka [50]

Answer:

   12.94%

Step-by-step explanation:

r = 100(1/2)^(d/5) = 100((1/2)^(1/5))^d ≈ 100(.87055)^d

The daily decrease is 1 - 0.87055 = 0.12944 ≈ 12.94%

4 0
3 years ago
An amount of $25,000 is borrowed for 9 years at 9% interest, compounded annually. If the loan is paid in full at the end of that
Aleks04 [339]

Answer:

  $36,566

Step-by-step explanation:

"The calculator provided" will tell you the monthly payment is $338.57, so the 108 payments made over the period of 9 years will total ...

  108 × $338.57 = $36,565.56

Rounded to the nearest dollar, the amount is $36,566.

6 0
3 years ago
What is the total amount in an account after 3 years if the interest is compounded annually on an amount of $3200 at 4%?
lorasvet [3.4K]

Answer:

$3599.57

Step-by-step explanation:

Using the compound interest formula Accrued Amount = P (1 + r)^t

where Accrued amount is to be determined

P = principal; $3200

r = 4% = 0.04

t = number of years = 3

Therefore

Accrued amount = 3200 (1 + 0.04)^3

= 3200 x 1.04^3

= 3200 x 1.1249

= 3599.57

The total amount after 3 years is $3599.57

8 0
3 years ago
Jaelynn has 30 times as many stickers as her brother. Her brother has 8 stickers. How many stickers does Jaelynn have?
Dennis_Churaev [7]
30 x 8 = 240 so Jaelynn has 240 stickers :) hope I helped!
6 0
3 years ago
Read 2 more answers
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