Suppose the peg is like a rectangular prism:

It will be a right triangle with two sides of 2 and 2 because the diameter is 4.
c=√(2²+2²)
c=2√2
so the width of the largest peg is 2√2 or 2.83 inch

7 0

4 years ago

Simplify each expression: a. 32=(-7+5) b. 18+42 =(-8)

Sedbober [7]

Unfortunately these aren’t expressions, these are equations that are not equivalent.

6 0

3 years ago

What is 15% of 287? Calculate the percentages. Make sure to show all your work!

jolli1 [7]

Answer:

Step-by-step explanation:15 percent *287 = (15/100)*287 = (15*287)/100 = 4305/100 = 43.05Now we have: 15 percent of 287 = 43.05Question: What is 15 percent of 287?We need to determine 15% of 287 now and the procedure explaining it as suchStep 1: In the given case Output Value is 287.Step 2: Let us consider the unknown value as x.Step 3: Consider the output value of 287 = 100%.Step 4: In the Same way, x = 15%.Step 5: On dividing the pair of simple equations we got the equation as under287 = 100% (1).x = 15% (2).(287%)/(x%) = 100/15Step 6: Reciprocal of both the sides results in the following equationx%/287% = 15/100Step 7: Simplifying the above obtained equation further will tell what is 15% of 287x = 43.05%Therefore, 15% of 287 is 43.05

6 0

2 years ago

Read 2 more answers

Find sin(a+B)

diamong [38]

Answer:

Cos A=5/13

we have

Cos² A= $1-Sin ²A$

25/169=1-Sin²A

sin²A=1-25/169

sin²A=144/169

Sin A= $\sqrt{144/169}=12/13$

again

Tan B=4/3

P/b=4/3

p=4

b=3

h= $\sqrt{3²+4²}=5$

Now

Sin B=p/h=4/5

in IV quadrant sin angle is negative so

Sin B=-4/5

CosB=b/h=3/5

Now

Sin(A+B):sinAcosB+CosAsinB

now 

substitute value

Sin(A+B):12/13*3/5+5/13*(-4/5)=36/65-4/13

=16/65 is a required answer

6 0

3 years ago

How to find modal class​

How to find modal class