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2 years ago

The picture below shows a pole and its shadow:

Mathematics

1 answer:

Angelina_Jolie [31]2 years ago

8 0

The answer is 112 centimeters.

As this problem represents a right triangle, here we need to apply the Pythagorean Theorem.

h = √113² - 15²
h = √12769 - 225
h = √12544
h = 112 centimeters

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-1/2y=1/2x+5 and y=2x+2

Anettt [7]

I assume this is the intersection of two lines, i.e. -1/2y is (-1/2)y. Please tell me if it's really -1/(2y).

(-1/2)y=(1/2)x+5

Multiplying both sides by -2

y = - x - 10

The other equation is

y = 2x + 2

We can equate them to find the meet

y = - x - 10 = 2x + 2

-3x = 12

x = -4

y = 2x + 2 = -6

Check: (-1/2)y=3, (1/2)x+5=3, equal, good

2x+2=2(-4)+2=-6=y, good

Answer: x=-4, y=-6

6 0

3 years ago

Which function does this graph correspond to?

tiny-mole [99]

ANSWER

The function that the given graph corresponds to is
$f(x) = (x - 2)(x - 1)(x + 1)(x + 2)$

EXPLANATION

The given graph in the attachment has x-intercepts at

$x = - 2 ,x=-1,x=1 \: \: and \: \: x=2$

These are the solutions of the polynomial function represented by the given graph.

We can write all these solutions as factors to obtain,

$x + 2 ,x + 1 ,x - 1 \: \:and \: \: x - 2$

The product of all these factors gives us the function whose graph was drawn.

This implies that,

$f(x) = (x - 2)(x - 1)(x + 1)(x + 2)$

Therefore the correct answer is option C.

7 0

3 years ago

Read 2 more answers

You were born, your mother deposited 2000 in an account that pays 5% simple interest. How much would the balance be in your acco

leonid [27]

Answer:

Step-by-step explanation:

the formula for simple interest is given as A=P(1+rt), where A is the final balance, P is the initial principal balance (the amount of money that you start out with), r is the annual interest rate, and t is the time

we know that the mom deposited 2000 into an account when the person was born. This is our initial principal balance (the amount of money started out with)

substitute that value into the formula to get:

A=2000(1+rt)

we also know the rate, which is 5% and the time, which is 18

5%=0.05 (we need it as a decimal)

so substituting the values into the equation:

A=2000(1+0.05*18)

A=2000(1+0.9)

A=2000(1.9)

A=3,800

therefore the answer is C

Hope this helps!

8 0

3 years ago

Regroup through thousands<br><br>9 tens 10 ones= hundreds

iren2701 [21]

Can help me plzzzzzz...!!!! f) i) dont need

4 0

2 years ago

At a carnival, Hayley gets to spin a prize wheel. It has a radius of 8 inches. What is the prize wheel's area?

Natalija [7]

Answer:

201.06in^2

Step-by-step explanation:

Use area formula which is pi(r)^2

5 0

3 years ago

Read 2 more answers