Answer:
Step-by-step explanation:
<u>Complete Question:</u>
A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m. With each swing, she travels along an arc that is half as long as the arc of the previous swing. Which expression gives the total length the monkey swings in her first n swings?
<u>Solution:</u>
First Swing:
24 m
Second Swing:
Half of first, so
24(1/2)
Third Swing:
Half of second, so:
24(1/2)(1/2)
Fourth Swing:
24(1/2)(1/2)(1/2)
So we see the general formula as:
<u>Note:</u> n -1 because (1/2) plays a role from second swing, which is n - 1
where n is the number of swings
Answer:
= 29.82 yards/second
Step-by-step explanation:
The speed is given in the problem. We just need to convert its units. The multiplicative identity (that is, 1) may be used to change the units without changing the value. (note: do you know what the additive identity is?)
61 miles per hour
(61 miles) / (1 hour)
(61 miles)/(1 hour)*1
((61 miles)/(1 hour))*((5280 feet)/(1 mile))
((61 miles)/(1 hour))*((5280 feet)/(1 mile))*((1 yard)/(3 feet))*((1 hour)/(60 minutes))*((1 minute)/(60 seconds))
note: miles, feet, hours, minutes cancel out; leaving yards per second
(61/1)*(5280/1)*(1/3)*(1/60)*(1/60) yards/second (note: I write that way to paste into Excel)
Answer:
D) There will be close to 3030 football players but probably not exactly 3030 football players who get a popsicle.
Step-by-step explanation:
We know that the Hendricksons are in charge of bringing treats for 5050 football players.
They brought 33 coolers of popsicles and 22 coolers of ice cream sandwiches. Each player is going to randomly select a cooler from which to get their treat.
We conclude that:
D) There will be close to 3030 football players but probably not exactly 3030 football players who get a popsicle.
The measure of the angle m∠CBD that forms an adjacent angle is 35 degrees.
<h3>What are adjacent angles?</h3>
Adjacent angles are angles that have common side and vertex.
Therefore, the common vertex is at point B.
m∠CBD = m∠ABD - m∠ABC
Therefore,
m∠ABD = 75 degrees
m∠ABC = 40 degrees
Hence,
m∠CBD = 75 - 40
m∠CBD = 35 degrees
learn more on angles here; brainly.com/question/1592068
#SPJ1
