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2 years ago

a tree casts a shadow 21 feet long, while Enzo, who is 5 feet tall, casts a shadow 6 feet long. What is the height of the tree?

Mathematics

2 answers:

Gnoma [55]2 years ago

7 0

20 feet long because you just minus 1 to whatever the shadow is

victus00 [196]2 years ago

3 0

Basically, you would first like to draw a picture of the problem.

then, after you do that, you will want to put them in ratios. here's what I did:
6/5=21/x
since we want to solve for x, the height of the tree, we will reform the equation for x to be alone(you will want to do cross multiplication here):
6x=5*21
6x=105
x=17.5

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Which expression is equivalent to (4 + 7i)(3 + 4i)? –16 + 37i 12 – 28i 16 – 37i 37 + 16i

ASHA 777 [7]

Answer:

The equivalent expression is $\Rightarrow -16+37i$

A is correct

Step-by-step explanation:

We are given two complex number and need to multiply it. To find equivalent fraction.

$(4+7i)(3+4i)$

Using Binomial product property: (a+b)(c+d)=ab+ad+bc+bd

$\Rightarrow (4+7i)(3+4i)$

$\Rightarrow 4(3)+4(4i)+7i(3)+7i(4i)$

$\Rightarrow 12+16i+21i+28i^2$

Combine the like term and simplify

$\Rightarrow 12-28+37i$ $\because \ \ i^2=-1$

$\Rightarrow -16+37i$

Hence, The equivalent expression is $\Rightarrow -16+37i$

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2 years ago

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Answer: PG = 1/3JG = 1/3 x 18 = 18/3 = 6

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Veronika [31]

the first thing to note is since one gallon= 60 miles then 1/2 gallon= 30 miles, now I know 1/2 is not an answer but it is easiest to decrease in moderate amounts. 1/2 gallon= 48 Km so we are close, and 1/2=0.5 so if we brought it down to 0.42 we would have 25.2 miles and 25.2 miles = 40.32. The question wants to know the approximate number and 40.32 is the closest we are going to get so the answer is 0.42

question 3

Answer:

80 + 65x ≤ 425

Step-by-step explanation:

First of all we know that the 425 must be greater than or equal to the other side, so the symbol to show that would be ≤. We also know that the forklift is a fixed price by the words 'each day'. And the to hire a single crew member would be $65 unless there are more crew workers, which would be multiplied with the 65.

question 4

Jimthompson5910Expert

Part A

Yes y is a function of x. Specifically the equation is y = x^5

For any given input, there is exactly one output

Notice how if x = 1 then y = x^5 = (1)^5 = 1

Notice how if x = -1 then y = x^5 = (-1)^5 = -1

Notice how if x = -2 then y = x^5 = (-2)^5 = -32

Notice how if x = 2 then y = x^5 = (2)^5 = 32

In general,

x^5 = x*x*x*x*x

there are five copies of x multiplied

A more specific example

3^5 = 3*3*3*3*3

there are five copies of '3' multiplied

=====================================================

Part B

All we do is replace x with 4 and use PEMDAS to simplify

f(x) = 2x+12

f(4) = 2(4)+12

f(4) = 8+12

f(4) = 20

The value of f(4) is 20

What does it mean? It is the total cost of renting the bowling lane for 4 hours. If you rent it for four hours, then you'll pay a total of $20.

The portion 2x = 2*4 = 8 is the variable cost which depends on how long you play. The more hours, the more the variable cost goes up

The fixed cost is 12. This is always fixed as this is the price to get in the door. If you play for 0 hours, but somehow got in the door, then you still pay $12

In total, variableCost+fixedCost = 8+12 = 20 = totalCost

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Ymorist [56]

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