Each sheet of metal is 0.1 inches thick. If Zoe stacks 3 sheets on top of each other, how thick will the stack be?

Patrick is constructing the circumscribed circle for △RST. Which construction could be his first step?

Naya [18.7K]

Steps in constructing a circumscribed circle on a triangle using a just a compass and a straight edge.
1) construct a perpendicular bisector of one side of ΔRST.
2) construct another perpendicular bisector of another side of ΔRST
3) the point where the two bisectors intersect will be the center of the circle.
4) place the compass on the center point, adjust its length to ensure that any corner of the triangle will be reached and draw the circumscribed circle.

8 0

3 years ago

Read 2 more answers

Please help me with my homework

Alona [7]

so for A it is 16 times as large because the area is 3*3 which is 9 but since it is a triangle the area is halved and is 4.5 and divide 72 by 4.5 which gives us 16

then for b I believe that the scale factor is 4

and for C it is asking for the bottom side of the scaled copy not of triangle A and 4*3=12 so the bottom is 12

ok now its complete =)

4 0

3 years ago

The null hypothesis is that the average high temperature in December is 45 degrees. If someone reports that the average was 52 d

Vanyuwa [196]

P-value approach is used to take a decision to reject or accept the null hypothesis as indicated below:
REJECT the hypothesis, if p-value FAIL TO REJECT the hypothesis, if p-value > the alpha value.
Alpha value represents the level of significance 
If alpha value is NOT indicated: alpha = 0.05 can be assumed 

REJECT the hypothesis, because p-value (0.036) < the alpha value assumed which is 0.05

7 0

3 years ago

Ryan has deposited $100 into a retirement account at the end of every month for 50 years. The interest rate on the account is 1.

Andre45 [30]

Answer:

future payment is $77056.92

total interest is paid after 45 year is $23056.42

Step-by-step explanation:

Given data

payment (P) = $100

No of installment (n) = 12

rate of interest ( r ) = 1.5 % i.e. = 0.015

time period (t) = 45 years

to find out

future payment and interest after 45 year

solution

we know future payment formula i.e. given below

future payment = payment × $(1+\frac{r}{n})^{nt} - 1) / (r/n)$

now put all these value in equation

future payment = $ 100 × $(1+\frac{0.015}{12})^{12*45} - 1) / (0.015/12)$

future payment = $ 77056.92

payment paid in 45 year @ $100 total money is paid is 45 × 12 × $100 i.e. = $54000

total interest = future payment - money paid

total interest = $77056.42 - $54000

total interest = $23056.42

4 0

3 years ago

Write down the 3rd term in the sequence given by: T(n) = n2 + n

Sergio [31]

The solution for the problem is:
I will first get the first five terms so that I could easily locate the third term of this problem:So, substituting the values:
T(1) = 1^2 = 1T(2) = 2^2 = 4T(3) = 3^2 = 9T(4) = 4^2 = 16T(5) = 5^2 =25
So the third terms is T(3) = 3^2 = 9

8 0

3 years ago