Ralph the monkey is looking down at a 59° angle from the top of a tree. there are bananas on the ground 12.4 ft from the base of the tree. if ralph flies down from the tree at a diagonal path, shown in the diagram by x, what distance would he travel? round to the nearest hundredth

Ralph the monkey traveled 14.47 feet

Step-by-step explanation:

As shown in the picture below we are looking for the value of the hypotenuse which in this case is the diagonal distance Ralph the monkey would travel if he jumped at a 59° degree angle. Since we are given the angle 59° and the opposite side length, we can use the SIN operator to solve this problem.

.....invert both fractions

We get a value of 14.47 ft for the hypotenuse, meaning that Ralph the monkey traveled 14.47 feet after jumping from the top of the tree at a 59° angle.

I hope this answered your question. If you have any more questions feel free to ask away at .

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!