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2 years ago

Find the value of y in the diagram below.

Mathematics

1 answer:

Alja [10]2 years ago

5 0

Answer:

The answer to your question is: y = 80°

Step-by-step explanation:

The sum of the internal angles in a polygon is = 180°(n - 2)

= 180° (6 - 2)

= 180(4)

= 720°

y° + y° + 2(2y -20) + 2(2y -20) = 720

2y° + 4(2y -20) = 720

2y° + 8y -80 = 720

10y = 720 + 80

10 y = 800

y = 800 / 10

y = 80°

2y - 20 = 2(80) -20 = 160 -20 = 140

80° + 80° * 140 + 140 + 140 + 140 = 720°

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Work out the circumference of a circle with radius 7.5 cm take pi to be 3.142

Elanso [62]

Answer:

47.13

Step-by-step explanation:

Circumfrence= 2 x pi x Radius

2 x 3.142 x 7.5 =47.13

5 0

3 years ago

Read 2 more answers

The data shows the total number of employee medical leave days taken for on-the-job accidents in the first six months of the yea

Inga [223]

Answer:

Step-by-step explanation:

The sum of squares of the deviation from mean=sum(x-xbar)²=?

xbar=sumx/n

xbar=(12+6+15+9+18+12)/6=72/6=12

x x-xbar (x-xbar)²

12 12-12=0 0

6 6-12=-6 36

15 15-12=3 9

9 9-12=-3 9

18 18-12=6 36

12 12-12=0 0

sum(x-xbar)²=0+36+9+9+36+0=90

So, the sum of squares of the deviations from the mean is 90.

3 0

2 years ago

The repayment schedule is for a $1,300 loan at 7.5% for 6 months. What is the amount for interest at payment 5?

max2010maxim [7]

Answer: The answer is $2.77.

Step-by-step explanation: Given that we have to pay the loan of $1300 at interest rate of 7.5% in 6 months. According to the table,

Amount for interest in payment 1 = $8.13,

Amount of interest in payment 2 = $6.79

and

Amount of interest in payment 3 = $5.45.

We can see here that the difference in the amounts to be paid in consecutive months will be same, i.e., the payments will form an arithmetic progression (A.P.).

The common difference = 8.13-6.79=6.79-5.45=1.34.

Therefore, amount of interest in payment 4 = $(5.45-1.34) = $4.11

and amount of interest in payment 5 = $(4.11-1.34) = $2.77.

Please see the attached modified table.

Thus, the answer is $2.77.

4 0

2 years ago

Read 2 more answers

A baker has 14.6 pounds of flour and 5 5/4 pounds of butter.How many more pounds of flour than butter does the baker have.

navik [9.2K]

Answer:

8.35

Step-by-step explanation:

Butter : 5 5/4 = 25/4 = 6.25

Flour - Butter = 14.6 - 6.25

= 8.35

6 0

3 years ago

1<br> 2. Verify that (1 - cos^20) CSc^20 =<br> (4 Points)

dolphi86 [110]

(1-cos^2(x)) csc^2(x)=1

one of the trigonometry rules is sin^2(x) + cos^2(x) = 1 if you rearrange this you realize that sin^2= 1-cos^2(x)

we also know that csc^2(x)= 1/sin^2(x) so now you can rewrite your equation as:

sin^2(x) x 1/sin^2(x) = 1

sin^2(x)/sin^2(x) =1

the LHS (left hand side) can cancel down to 1 because the numerator and denominator are the same

so then 1=1 Therefore LHS=RHS

Hope this helps

3 0

2 years ago