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allsm [11]
3 years ago
7

A 5 foot tall pole casts a 3 1/3 foot shadow. At the same time an oak tree casts a 20 foot shadow. How tall is the tree?

Mathematics
1 answer:
cricket20 [7]3 years ago
8 0

Answer:

30 feet tall

Step-by-step explanation:

Set up a proportion where x is the height of the tree

\frac{5}{3\frac{1}{3} } = \frac{x}{20}

Cross multiply and solve for x:

100 = 3\frac{1}{3}x

30 = x

So, the tree is 30 feet tall

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You pick a card at random. You put the first card back, and you pick a second card at
Fudgin [204]

Answer:

Step-by-step explanation:

maybe 8 or 1/9

8 0
3 years ago
What is the sign of f on the interval -2
TEA [102]

Answer:

f is sometimes positive and sometimes negative.

Step-by-step explanation:

f(x)=(x-3)(x+2)(x+4)(x+4)(x-1)(2x-9)

Take x=-1\in(-2,\frac{9}{2})\ as-2

f(-1)=(-1-3)(-1+2)(-1+4)(-1-1)(-2-9)\\\\=(-4)(1)(3)(-2)(-11)\\\\=-264\\\\f(-1)

Take x=2\in(-2,\frac{9}{2})\ as\ -2

f(2)=(2,-3)(2+2)(2+4)(2-1)(2\times2-9)\\\\=(-1)(4)(6)(1)(-5)\\\\=120\\\\f(2)>0

Hence f(x) for x=-1 and f(x)>0 for x=2

So f is sometimes positive and sometimes negative in the interval.

3 0
3 years ago
Given that F(x) = x2 + 2, evaluate F(1) + F(5).
gavmur [86]

Answer:

F(1)+F(5)= 30

Step-by-step explanation:

F(1)=1^2+2=1+2=3

F(5)=5^2+2=25+2=27

27+3=30

6 0
3 years ago
The new balance of a charge account is $145.00. The minimum payment is $20.00. If the interest rate is 1.5%, how much will the n
juin [17]
The balance is $145 but after one makes he minimum payment of $20, there is $125 left to pay. However interest is added before the next month’s bill is generated.

Remember that percent means out of 100. 1.5% means 1.5/100 = .015

To find 1.5% of 125 we multiply (.015)(125) = 1.875 But as this is money the interest is rounded to two decimal places and so is $1.88

We add this to 125 to get next month’s balance which is 125 + 1.88 = $126.88
3 0
4 years ago
What is the product in simplest form?<br> 3/5 x 2/3 = ?
boyakko [2]

Answer:

2/5 or 0.4

Step-by-step explanation:

:)

6 0
3 years ago
Read 2 more answers
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