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Sidana [21]
2 years ago
14

On a sunny day, a tree casts a shadow that is 146 feet long. At the same time, a person who is 5.6

Mathematics
1 answer:
iVinArrow [24]2 years ago
3 0
Let X = tree height.

X/146 = 5.6/11.2
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2. Based on the table below, determine the exponential function being used. Use x as your variable. Then, evaluate this expressi
Ostrovityanka [42]

Answer:

y=5^{x}\\y=5^{7}=78125

Step-by-step explanation:

y = a^{x}, a=5\\y=5^{x}\\y=5^{0}=1\\y=5^{1}=5\\y=5^{2}=25\\y=5^{3}=125\\and\\y=5^{7} = 78125

4 0
3 years ago
There are 8 members on a board of directors. if they must form a subcommittee of 6 members, how many different subcommittees are
Shtirlitz [24]
1. Given a group of n people. There are C(n, r) ways of forming groups of r out of n.

2. Where C(n, r)=\frac{n!}{r!(n-r)!}

3. For example, given {Andy, John, Julia}. We want to pick 2 people to give a gift: we can pick {(Andy, John), (Andy, Julia), (John, Julia)}, so there are 3 ways. So we can list and count.

4. Or we could do this with the formula C(3, 2)=\frac{3!}{2!(1)!}= \frac{3*2*1}{2*1}=3

5. C(8, 6)=\frac{8!}{2!6!}= \frac{8*7*6!}{2*6!}= \frac{8*7}{2}= 4*7=28

So there are C(8,6)=28 ways of chosing 6 out of 8 people to form the subcommittees. <span />
5 0
3 years ago
Simplify the expression k-2(k-(2-k))-2
Reil [10]
Simplify the following:
k - 2 (k - (2 - k)) - 2
-(2 - k) = k - 2:
k - 2 (k + k - 2) - 2
Grouping like terms, k + k - 2 = (k + k) - 2:
k - 2 ((k + k) - 2) - 2
k + k = 2 k:
k - 2 (2 k - 2) - 2
-2 (2 k - 2) = 4 - 4 k:
k + 4 - 4 k - 2
Grouping like terms, k - 4 k - 2 + 4 = (4 - 2) + (k - 4 k):
(4 - 2) + (k - 4 k)
k - 4 k = -3 k:
-3 k + (4 - 2)
4 - 2 = 2:
Answer:  2 - 3 k
3 0
3 years ago
Read 2 more answers
33) AUVW ~ AQRS<br> 22<br> 159<br> U<br> W<br> 26<br> ?<br> 59<br> R<br> 13<br> S
Ad libitum [116K]

Answer:

.22+59+26+w=180

107+w=180

w=180-107=81

second triangle

59+13=72

180-72=108

5 0
3 years ago
Need help with math equation 20 points and brainlest
dimaraw [331]

Answer:

x = 28°, ∠ABC = 57°

Step-by-step explanation:

∠ABD = 2x+1

∠BCD = 33°

∠ABD = 90° (right angle)

which means that

∠ABC + <CBD = 90° (In the middle of ∠ABD)

Then, we can substitute to the equation to find x

(2x+1) + 33° = 90°

(2x+1) = 57°

2x = 56°

x = 28°

after finding x, we can find ∠ABC:

∠ABC = 2(28) + 1 = 57°

I hope this helps, have a great day! :)

6 0
3 years ago
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