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3 years ago

A 32 foot tall tree casts a shadow that is 48 feet long. How far away from the tree is a 6 ft person? Help! :)

Mathematics

1 answer:

shusha [124]3 years ago

4 0

Answer:

Henry Clay believed that American democracy depended on “that great principle of compromise”. What did he mean? Do you agree? Why?12

Step-by-step explanation:

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which property can you use to solve the following expression?5(6+9) A) distributive B) associative C) commutative

Vilka [71]

Answer: A

Step-by-step explanation:

When you use the distributive property, you are multiplying every term in the parentheses by the number outside of it. You are typically multiplying so that is how you will get the simplified form of your equation.

4 0

3 years ago

The equation of the hyperbola with center at (0, 0) opening horizontally, with a = 2, b = 5 is:

tresset_1 [31]

Answer:

$\frac{x^2}{4}-\frac{y^2}{25} =1$

Step-by-step explanation:

we are given

center =(0,0)

we can compare with

center=(h,k)=(0,0)

so, h=0 and k=0

a=2 and b=5

now, we can use equation of hyperbola formula

$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2} =1$

now, we can plug values

$\frac{(x-0)^2}{2^2}-\frac{(y-0)^2}{5^2} =1$

we can simplify it

and we get equation of hyperbola as

$\frac{x^2}{4}-\frac{y^2}{25} =1$

5 0

3 years ago

What is the slope intercept form of the line that passes through the point (-2,-18) and has a slope of 1/4

mart [117]

Answer:

y=(1/4)x - 35/2

Step-by-step explanation:

y=mx+b

y=(x/4)+b plug in the slope (m)

-18=(-2/4)+b plug in x and y

b= -17 1/2= -35/2 solve for b

y=(1/4)x - 35/2 plug in m and b into the equation

8 0

3 years ago

Aaron bought 3 pizzas each with 12 slices. He and his friends are 1 whole & 2/3 of the pizzas a) how many slices are left b)

Nataliya [291]

3 Pizza's - 1 whole = 2
2 Pizza's - 2/3 Of a Pizza = 4/3 Of Pizza Left
ANSWER: There are 4/3 Of Pizza Left

4 0

3 years ago

Prove the divisibility of the following numbers:

ratelena [41]

Make use of prime factorizations:

$16^5+2^{15}=(2^4)^5+2^{15}=2^{20}+2^{15}$

Both terms have a common factor of $2^{15}$ :

$16^5+2^{15}=2^{15}\left(2^5+1\right)=2^{15}\cdot33$

- - -

The second one is not true! We can write

$15^7+5^{13}=(3\cdot5)^7+5^{13}=3^7\cdot5^7+5^{13}$

Both terms have a common factor of $5^7$ :

$15^7+5^{13}=5^7\left(3^7+5^6\right)$

Since $30=5\cdot6$ , and $5\mid5^7$ , we'd still have to show that $5^6(3^7+5^6)$ is a multiple of 6. This is impossible, because $6=3\cdot2$ and there is no multiple of 2 that can be factored out.

4 0

3 years ago

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