The longer an object, the longer the shadow they cast at a given time of the day and vice versa. This is called direct proportionality. At the same time,

If 15 foot flagpole ---- casts 11 foot shandow
28 foot tree -------- casts ?? foot shadow

The proportion would therefore be:

Length of shadow cast by tree = (28/15)*11 = 20.533 foot.

8 0

3 years ago

Consider the original complex figure and the reduction.

Dmitriy789 [7]

Answer:

1/8

Step-by-step explanation:

I'm going to try to explain this as easy as possible. What I did was take the original shape and divide it by the new shape. For this question, I solved it by dividing 32(the original base) by 4(the new base) and got 8. So the scale factor of the reduction was 1/8.

8 0

3 years ago

3x^2(x^3-1)+2x^3(2x^2+2) <br> Whats the simplified answer?

ahrayia [7]

Answer:

$\large\boxed{7x^5+4x^3-3x^2}$

Step-by-step explanation:

$3x^2(x^3-1)+2x^3(2x^2+2)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\=(3x^2)(x^3)+(3x^2)(-1)+(2x^3)(2x^2)+(2x^3)(2)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=3x^{2+3}-3x^2+4x^{3+2}+4x^3\\\\=3x^5-3x^2+4x^5+4x^3\qquad\text{combine like terms}\\\\=(3x^5+4x^5)-3x^2+4x^3\\\\=7x^5+4x^3-3x^2$

4 0

3 years ago

7. Hobbies Members of a reading group order books for $89.10 and bookmarks

qaws [65]

Answer:

(89.10+10.62)/18 =

(99.72)/18 =

= 5.54

Verification:

5.54*18 = 99.72

how much does each

person owe on average? $5.54

Step-by-step explanation:

4 0

2 years ago