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I am Lyosha [343]
3 years ago
10

Nils is 6 feet tall and he casts a 24 foot shadow. He sees the shadow of a tree next to him and measures it to find the shadow i

s 90 feet long. How tall is the tree?
Mathematics
1 answer:
denis-greek [22]3 years ago
4 0

Answer:

360

Step-by-step explanation:

24 divided by 6 = 4 which means each foot = 4 foot shadow

90 x 4 =360

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If 5x-8=7, what is the value of 5x+8 ( EXPLAINING NEEDED)
ale4655 [162]

Answer:

5x+8=23

Step-by-step explanation:

we have

5x-8=7

Adds 16 both sides

5x-8+16=7+16

5x+8=23

7 0
3 years ago
Question:
prohojiy [21]

Answer:

x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2

Step-by-step explanation:

Solve for x over the real numbers:

x/x - 1 = x - 3 - 2/x

x/x - 1 = 0:

0 = x - 3 - 2/x

0 = x - 3 - 2/x is equivalent to x - 3 - 2/x = 0:

x - 3 - 2/x = 0

Bring x - 3 - 2/x together using the common denominator x:

(x^2 - 3 x - 2)/x = 0

Multiply both sides by x:

x^2 - 3 x - 2 = 0

Add 2 to both sides:

x^2 - 3 x = 2

Add 9/4 to both sides:

x^2 - 3 x + 9/4 = 17/4

Write the left hand side as a square:

(x - 3/2)^2 = 17/4

Take the square root of both sides:

x - 3/2 = sqrt(17)/2 or x - 3/2 = -sqrt(17)/2

Add 3/2 to both sides:

x = 3/2 + sqrt(17)/2 or x - 3/2 = -sqrt(17)/2

Add 3/2 to both sides:

Answer: x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2

3 0
3 years ago
How do you solve <br> 2(3-x)^1/3-4=20
WINSTONCH [101]

Answer:

Step-by-step explanation:

8 0
3 years ago
A museum has a wax sculpture of a historical village. The scale is 1.5:8. If the height of a hut in the sculpture is 5 feet, how
Oksi-84 [34.3K]

Let us say that x is the real height of the original hut, therefore we can establish the equation:

5 : x = 1.5 : 8

5 / x = 1.5 / 8

 

Solving for x:

x = 5 * 8 / 1.5

x = 40 / 1.5

<span>x = 26.67 ft</span>

4 0
3 years ago
You have one type of nut that sells for $2.80/lb and another type of nut that sells for $9.60/lb. You would like to have 20.4 lb
max2010maxim [7]

Answer:11.396Ibs of nuts that cost $9.60/Ib and 9.014Ibs that cost $2.80/Ib

Step-by-step explanation:

First we find the cost of the supposed mixture we are to get by selling it $6.60/Ib which weighs 20.41Ibs

Which is 6.6 x 20.41 = $134.64

Now we label the amount of mixture we want to get with x and y

x = amount of nuts that cost $2.8/Ib

y = amount of nuts that cost $9.6/Ib

Now we know the amount of mixture needed is 20.41Ibs

So x + y = 20.41Ibs

And then since the price of the mixture to be gotten overall is $134.64

We develop an equation with x and y for that same amount

We know the first type of nut is $2.8/Ib

So for x amount we have 2.8x

For the second type of nut that is $9.6/Ib

For y amount we have 9.6y

So adding these to equate to $134.64

2.8x + 9.6y = 134.64

So we have two simultaneous equations

x + y = 20.41 (1)

2.8x + 9.6y = 57.148 (2)

We can solve either using elimination or factorization method

I'm using elimination method

Multiplying the first equation by 2.8 so that the coefficient of x for both equations will be the same

2.8x + 2.8y = 57.148

2.8x + 9.6y = 134.64

Subtracting both equations

-6.8y = -77.492

Dividing both sides by -6.8

y = -77.492/-6.8 =11.396

y = 11.396Ibs which is the amount of nuts that cost $9.6/Ib

Putting y = 11.396 in (1)

x + y = 20.41 (1)

x +11.396 = 20.41

Subtract 11.396 from both sides

x +11.396-11.396 = 20.41-11.396

x = 9.014Ibs which is the amount of nuts that cost $2.8/Ibs

8 0
3 years ago
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