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2 years ago

Convert to standard form. 7.32 x 10^-9

Mathematics

1 answer:

Paladinen [302]2 years ago

7 0

Answer: 0

Step-by-step explanation:

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A carpenter used 6 boxes of nails to build 8 bird houses. He used __ of a box on each bird house.

mina [271]

Answer:

0.75 or 3/4 boxes of nails per bird house

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2 years ago

Mr. Smith is planting a class garden for his third grade class. He surveys the class and determines that 65% prefer planting cor

Lubov Fominskaja [6]

No, because he only surveyed his class which 65% of them prefer planting corn over tomatoes. In which it does not mean that the school's third grade population that prefers planting corn over tomatoes is 65%

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2 years ago

Read 2 more answers

The wavelength of an x-ray measures 1.0×10−11 meters. How is this number written using standard notation?

Sonja [21]

Answer:

its the first one: 0.00000000001

Step-by-step explanation:

you move the decimal point 11 times to the left to get the answer because the 11 is negative.

4 0

3 years ago

The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.

Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

$y = 11 + x$

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

$y^2 = x^2 + x^2$

$y^2 = 2x^2$

This gives:

$(11+x)^2 = 2x^2$

Open bracket

$121 + 22x + x^2= 2x^2$

Collect like terms

$2x^2 - x^2 -22x - 121 = 0$

$x^2 -22x - 121 = 0$

Using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}$

$x = \frac{-(-22)\±\sqrt{968}}{2*1}$

$x = \frac{22\±31.11}{2}$

Split

$x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\$

$x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}$

x can not be negative.

So:

$x = \frac{53.11}{2}$

$x = 26.56$

Recall that:

$y = 11 + x$

$y = 11 + 26.56$

$y = 37.56$

Hence, the dimensions are:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

6 0

3 years ago

the price of a technology stock was $9.53 yesterday. Today, the price rose to $9.66. Find the percentage increase. Round your an

galben [10]

So, 9.66 - 9.53 will then be 0.13, so if we take 9.66 to be the 100%, what is 0.13 off of it in percentage then?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
9.66&100\\
0.13&p
\end{array}\implies \cfrac{9.66}{0.13}=\cfrac{100}{p}\implies p=\cfrac{0.13\cdot 100}{9.66}$

6 0

3 years ago