Let the common difference between 2 consecutive pizzas be x.
The pizza is cut into slices of
90°, 90°-x, 90°-x-x, 90°-x-x-x, 90°-x-x-x-x, 90°-x-x-x-x-x,
that is
90°, 90°-x, 90°-2x, 90°-3x, 90°-4x, 90°-5x
the sum of these angles is 360°, so:
90°+90°-x+90°-2x+90°-3x+90°-4x+90°-5x=360°
90°*6-15x=360°
540°-360°=15x
180°=15x
x=12°
The degree measure of the fifth slice is 90°-4x=90°-4*12=90°-48=42°
Answer: 42°
Answer:
7.789×10^-2 = 0.07789 cm
Step-by-step explanation:
Your calculator can find the difference of the two given diameters and express it in any format you like.
The attached image of a calculator display shows the difference of the cell diameters is 0.07789 = 7.789×10^-2 cm.
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The difference of two numbers with different exponents is found by first adjusting the exponents so they are the same. Here, we choose to adjust both numbers so they have the highest exponent value.
8.83×10^-2 - 6.01×10^-3
= 8.39×10^-2 - 0.601×10^-2 = (8.39 -0.601)×10^-2 = 7.789×10^-2
Alternatively, you can convert both numbers to standard form and do the subtraction that way.
8.83×10^-2 - 6.01×10^-3
= 0.0883 -0.00601 = 0.07789
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<em>Additional comment</em>
The second attachment shows the relationship between place values and their multiplier in scientific notation.
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The choice of exponent when computing the sum or difference of numbers in scientific notation is usefully informed by an estimate of the value of the sum or difference. A proper choice can avoid the need to adjust the exponent of the result of the operation. Here, we see the subtraction will change the larger value by less than 10%, so the exponent of the result in scientific notation will be that of the larger value (-2).
Answer:
6.04 kilometers
Step-by-step explanation:
First, by AA triangle similarity theorem, we know that the two triangles are equal.
So, we can set up a ratio
3,500/2000=4200/x
cross multiplying, we get
3500x=4200*2000
and simplifying, we get x=2400
the distance will be 2,400+4,200=6600 yards
converting to kilometers,
6600*0.0009144=6.04
Answer:
10x cm
Step-by-step explanation:
e.g.
5cm cm x 10 = 50cm
--> 10x cm
84 inch squared
There’s 12 inches in a foot, so the number will be 12 times larger.