The number of bacteria at the beginning of an experiment was 30 and the bacteria

Mathematics

1 answer:

faust18 [17]3 years ago

5 0

Answer: what is the question and answer choices

Step-by-step explanation:

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Find each length:

zhuklara [117]

Answer:

The length of the longer leg is $7\sqrt{3}\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In any triangle:

The shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle

The longer leg is AC

we have

$sin(60^o)=\frac{AC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

Remember that

$sin(60^o)=\frac{\sqrt{3}}{2}$

$AB=14\ units$

substitute the given values

$\frac{\sqrt{3}}{2}=\frac{AC}{14}$

$AC=7\sqrt{3}\ units$

6 0

3 years ago

Which of the following are the coordinates of point F prime , the image of point F, after a rotation of 90° about the origin?

Vadim26 [7]

There are 2 possibilities:

if F is rotated <span>90° about the origin in the clockwise (negative) direction, the image is the point F'(3, 0), as shown with the red line segments.

</span>if F is rotated 90° about the origin in the counterclockwise (positive) direction, the image is the point F'(-3, 0), as shown with the green line segments.

both 1 and 2 are possible.

Remark: A rotation of point F, it the movement of F in a circle with center O and with radius OF.