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Nimfa-mama [501]
3 years ago
7

A tree that is 40 feet tall casts a 30-foot shadow. At the same time, another tree casts a 20-foot shadow. How tall is the secon

d tree?
Mathematics
2 answers:
Olegator [25]3 years ago
7 0
So the tree is 40 ft and then the shadow is 30 so then do 40 -30 = 10 ft difference so then for the second tree do 20 + 10 = 30 ft because the 10 ft difference so the answer is 30 ft tall
charle [14.2K]3 years ago
5 0

Answer:

The second tree is 26.67 foot tall.

Step-by-step explanation:

A tree that is 40 feet tall casts a 30-foot shadow.

\texttt{Ratio of original height to shadow height =}\frac{40}{30}\\\\\texttt{Ratio of original height to shadow height =}\frac{4}{3}

Now we need to find original height of a tree whose shadow is 20 foot.

Original height = Ratio of original height to shadow height x Height of shadow

\texttt{Original height = }\frac{4}{3}\times 20=26.67foot

The second tree is 26.67 foot tall.

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I need some help with this
masya89 [10]

Answer:

A, C, D

Step-by-step explanation:

Consider triangles NKL and NML. These triangles are right triangles, because

m\angle K=m\angle M=90^{\circ}

In these right triangles:

  • \overline{NL}\cong \overline {NL} - reflexive property;
  • \angle KLN\cong \angle MLN - given

Thus, triangles NKL and NML by HA postulate. Congruent triangles have congruent corresponding parts, so

\overline{KN}\cong \overline{NM}\\ \\\overline{KL}\cong \overline{LM}\ [\text{option D is true}]

Since

\overline{KN}\cong \overline{NM},

then

7x-4=5x+12\\ \\7x-5x=12+4\\ \\2x=16\\ \\x=8\ [\text{option A is true}]\\ \\MN=KN=7\cdot 8-4=56-4=52\ [\text{option C is true}]

Option B is false, because KN=52 units.

Option E is false, because LN is congruent KN, not LM

4 0
3 years ago
Use the reverse tabular method to solve division problem: (x^4+2x^3+2x^2+2x+1)/(x+1)
svetoff [14.1K]

Answer:

x^3 +x^2 +x+1

Step-by-step explanation:

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3 0
3 years ago
Which of the following numbers is NOT a solution of the equation |x + 5| = x + 5?
Nata [24]

Answer:

-10 is not a solution to the equation

Step-by-step explanation:

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7 0
3 years ago
a 20 ft piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. If the sh
oee [108]
Longer piece is 15 and shorter piece is 5
5 0
3 years ago
Please help me ;-;
Hitman42 [59]

Answer:

72

Step-by-step explanation:

Based on the table, the left and the right side have a pattern. When 3 is added to the left side, the right side is multiplied by 6. Since 12 multiplied by 6 is 72, the missing number is 72.

7 0
2 years ago
Read 2 more answers
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