The flagpole is 20 ft high and casts an 8 foot shadow, the oak tree casts a 12 foot shadow. How tall is the oak tree

1 answer:

7 0

Answer: 4.8 ft

To answer this question you need to know how much shadow: actual height ratio. Flagpole is having 8 ft shadow with 20 ft actual height. The ratio should be= 8 ft: 20 ft= 0.4

Then multiply the ratio with the oak tree shadow. The equation would be:
0.4 x 12 ft= 4.8 ft

You might be interested in

There is a proportional relationship between the volume of a sample of helium in liters and the mass of that sample in grams. if

love history [14]

Answer:

v = 5.6m

Step-by-step explanation:

Proportional relationship equation:

y = kx, where k- constant of proportionality

Use the given point to work out the value of k:

28 = 5k
k = 28/5
k = 5.6

In our case the equation is:

v = 5.6m, where v- volume, m- mass

6 0

2 years ago

Look at the figure. Which step should be taken next to construct a line through point P perpendicular to BA?

alexira [117]

ANSWER:

C. Place the compass on point A. Open the compass to a point between point P and point B.

EXPLANATION:

A perpendicular is a line that would be at a right angle to line BA.

The next step is to chose a radius that is greater than PB or PA so as to construct the bisector. And this can be done by placing the compass on point A, and open the compass to a point between point P and point B.

Use this radius to draw an arc above and below the line, and repeat the same using B as the center with the same radius. This would form two intersecting arcs above and below line BA. Join the point of intersection of the arcs by a straight line through P. This is the bisector of line BA through point P.

8 0

3 years ago

Which of these expressions CANNOT be simplified by combining like terms?

densk [106]

$5ab^{3} +7-3a^{2} b ^{2} +a^{3}b+10$ can be simplified to by adding the 7 and 10 to get $a^{3}b-3a^{2} b ^{2}+ 5ab^{3} + 17$ .

$5ab^{3}+3a^{2}b^{2}+a^{3}b -10$ cannot be simplified any more by combining like terms.

By distributing the 2b into the parentheses, you can simplify the expression:
$5ab^{3}+2b(3ab^{2})+a^{3}b-10\\
5ab^{3}+6ab^{3}+a^{3}b-10\\
11ab^{3}+a^{3}b-10$

Here you can just add:
$5a^{3}b^{3}+3a^{2}b^{2}+a^{3}b^{3}-10ab\\
6a^{3}b^{3}+3a^{2}b^{2}-10ab$

Thus, the only expression that cannot simplify any more using adding like terms is the second, $5ab^{3}+3a^{2}b^{2}+a^{3}b -10$ .

3 0

3 years ago

Read 2 more answers

QS¯¯¯¯¯¯¯ bisects ∠PQR . If m∠PQS = 5x and m∠RQS = 2x + 6, then what is m∠PQR ? m∠PQR is

soldi70 [24.7K]

Answer:

$PQR = 20$