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Brums [2.3K]
3 years ago
9

a side of a square bulletin board measures 34 inches. Which of these is the closest length of a diagonal?

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0
If you diagonally slice the board, you get a right angle, which pyth thm can be used. side2 x side2 = diagonal2

34squared + 34squared = x (diagonal) squared
1156 + 1156 = x squared
2312 = x squared
x = 48.0832611207
so just correct it to the closest as 48 inches
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Unit 1: Scientific Notation Constructed Response Assignment
balu736 [363]
brainly.com/question/5027087

Let C, S and H be the diameters of cell, sand and hair


Diameter of a cell: C=1 \cdot 10^{-5}m

Diameter of a grain of sand: S=2 \cdot10^{-4}m

Part A:

H=0.000025=2.5 \cdot 10^{-5} meters, because it takes 5 movements right of the decimal dot, until there is only one digit to its left.

Part B:

we are comparing S=2 \cdot10^{-4} m to C=1 \cdot10^{-5} m ,

\frac{S}{C}= \frac{2 \cdot 10^{-4}}{1 \cdot 10^{-5}}=\frac{20 \cdot 10^{-5}}{1 \cdot 10^{-5}}=20

thus S is 20 times larger than C

Part C

1m=1 \cdot10^9nm

thus,

H=2.5 \cdot 10^{-5}m=2.5 \cdot 10^{-5} \cdot 1 \cdot 10^9nm=2.5 \cdot 10^{-5+9}=2.5\cdot10^4nm

Part D.

1m=1\cdot 10^9nm\\\\1nm=\displaystyle{ \frac{1m}{10^9}=1\cdot 10^{-9}m}

thus 300 nm are written in meters as follows:

300nm= 300\cdot 1\cdot 10^{-9}m=3\cdot 10^2 \cdot 10^{-9}m=3\cdot 10^{-7}m
5 0
3 years ago
Which of the following is a subset of {1, 3, 5, 7, 9}?
MakcuM [25]
In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B. I belive the correct answer from the choices listed above is the second option. It is the set  {5, 6, 7} that is a subset of <span> {1, 3, 5, 7, 9}. Hope this answers the question</span>
7 0
3 years ago
Aaron works as a bar attendant and receives $11 per hour. On Saturday he works for five hours at normal time and three hours ove
scoundrel [369]

Answer:

so his total pay for Saturday would be $104.50

Step-by-step explanation:

He works 5 hours at $11  per hour which gets a total of 55$

He also works 3 hours of overtime where he gets payed 1.5x pay

11 x 1.5 = 16.5 (10x1.5 = 15 1x1.5 = 1.5)

so he gets $16.5 per hour for 3 hours which = 49.5$

49.5 + 55 = $104.50

5 0
2 years ago
Wo runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and w
SpyIntel [72]

Answer:

I believe the last answer is correct

Step-by-step explanation:

Both runners are gaining money

8 0
2 years ago
Solve the system of equations by graphing: -1/3x + y=-1, y=4+1/3x
Arada [10]

-\frac{1}{3}x + y = -1   ⇒   y = \frac{1}{3}x - 1

To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope (\frac{1}{3}) by counting up 1 and to the right 3 of the y-intercept.  This gives you a second point of (3. 0).  Draw a line through those two coordinates.

Answer: Plot (0, -1) and (3, 0) and draw a line through them.

***************************************************************************************

y = 4 +  \frac{1}{3}x    ⇒   y =  \frac{1}{3}x  + 4

Same as above.  Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).

Answer: Plot (0, 4) and (3, 5) and draw a line through them.

***********************************************************************************

You should end up with two PARALLEL lines.  Since the lines never intersect, there are no solutions to this system of equations.

Answer: No Solution

3 0
3 years ago
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