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3 years ago

A 31ft tree casts a 24ft long shadow. What is the angle formed by the suns rays and the ground to the nearest whole

Mathematics

2 answers:

Charra [1.4K]3 years ago

7 0

Answer:

52°

Step-by-step explanation:

tanФ = 31/24

Andrei [34K]3 years ago

6 0

Answer:

Step-by-step explanation:

dfcfd

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What is the approximate circumference of a circle with a diameter of 300 feet

almond37 [142]

Circumference = 2πr

Since you know the diameter is 300, you divide it by 2 to find the radius. Therefore, the radius is 150.
Now plug it into the formula: C = 2(3.14)(150)
C = 942

Answer: Circumference is 942 feet

6 0

3 years ago

Define like terms. Give an example of like terms and then combine them

34kurt

Answer:

Like terms are numbers with or without variables that have the same variables.

Step-by-step explanation:

5x and 3x are like terms because they have the same variable.

5x and 3y are not like terms because the variables are different.

To combine them, just add or subtract them. You cannot combine non-like terms!

6 0

3 years ago

Read 2 more answers

You have $550 in a savings account that earns 3% simple interest each yaer. How much will be in your account in 10 years?

bija089 [108]

Looking at the given question, we can find several important information's and based on thm we can easily calculate the amount after 10 years.
Principal amount = $550
Rate of interest per year = 3%
Number of years the amount is to be kept = 10 years
Now we get put these information's in the formula of finding amount of money kepy in simple interest.
Amount = P(1 + rt)
Where
p = principal amount
r = rate of interest
t = Time
Then
Amount = 550[1 + (3/100) * 10)]
   = 550 [1 + 3/10]
   = 550 * (13/10)
   = 55 * 13
   = 715 dollars
So the total amount in my account will be $715

4 0

3 years ago

A coin is flipped five times. Find the number of possible sets of heads and tails that have at most 3 heads

Mumz [18]

Answer:

$Sets = 27$

Step-by-step explanation:

Given

$Coin = 1$

$Toss = 5$

Required

Number of outcomes with at most 3 heads

First, we list out the sample space of a toss of coin 5 times

$(HHHHH)$ , $(HHHHT)$ , $(HHHTT)$ , $(HHTTT)$ , $(HTTTT)$ , $(TTTTT)$ , $(TTTTH)$ , $(TTTHH)$ , $(TTHHH)$ , $(THHHH)$ , $(HTHTH)$ , $(THTHT)$ , $(HHTHH)$ , $(TTHTT)$ , $(HTTHT)$ , $(THHTH)$ , $(THHHT)$ , $(HTTTH)$ , $(THHTT)$ , $(HTTHH)$ , $(HHTTH)$ , $(TTHHT)$ , $(TTHTH)$ , $(HHTHT)$ , $(HTHTT)$ , $(THTHH)$ , $(THTTH)$ , $(HTHHT)$ , $(HTHTT)$ , $(THTHH)$ , $(HHHTH)$ , $(TTTHT)$

Next, we list out all outcomes with at most 3 heads

, , $(HHHTT)$ , $(HHTTT)$ , $(HTTTT)$ , $(TTTTT)$ , $(TTTTH)$ , $(TTTHH)$ , $(TTHHH)$ , , $(HTHTH)$ , $(THTHT)$ , , $(TTHTT)$ , $(HTTHT)$ , $(THHTH)$ , $(THHHT)$ , $(HTTTH)$ , $(THHTT)$ , $(HTTHH)$ , $(HHTTH)$ , $(TTHHT)$ , $(TTHTH)$ , $(HHTHT)$ , $(HTHTT)$ , $(THTHH)$ , $(THTTH)$ , $(HTHHT)$ , $(HTHTT)$ , $(THTHH)$ , $(TTTHT)$

So, the number of set is:

$Sets = 27$

4 0

3 years ago

Find how long it takes a person to drive 94 miles on a highway if she merged into a highway at 1pm and drives nonstop with her c

Rama09 [41]

Answer:

If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm

Step-by-step explanation:

distance traveled = 94 miles

cruise speed = 40 mph

time taken = ?

time taken = distance/speed = 94/40 = 2.35 hours

2.35 hrs = 2 hrs + (0.35 x 60) = 2 hrs + 21 min

If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm

7 0

3 years ago