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2 years ago

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Mathematics

1 answer:

frosja888 [35]2 years ago

5 0

The two triangles are similar by the AA Similarity theorem.

The height of the tree can be calculated by figuring out the ratio between the distance between the mirror to her feet and the distance from the mirror to the tree

<h3>How to use the concept of similar Triangles?</h3>

From Law of Reflection, we know that the angle of incidence and the angle of reflection are equal to each other.

Now, triangles can be proved similar by the AA, SAS, or SSS theorems. However, in this question, the triangles as seen in the attached image can be proved similar by the AA similarity theorem.

This is because both triangles have one congruent angle in common.

Sarah and the tree are standing straight and perpendicular to the ground and as such, the angles formed by Sarah and the tree are right angles.

The above tells us that the two triangles have two angles in common, making them similar triangles by the AA (Angle Angle) similarity theorem.

Since the triangles are similar, it means that the ratios of the sides of the triangles will be the same. Thus, if Sarah knows the distance from the mirror to her feet and the distance from the mirror to the tree, she can create the ratio between the two triangles.

Read more about Similar Triangles at; brainly.com/question/14285697

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All pictures are below please help Sandi had the following problem on her math test: . She showed her work on the test as follow

Semmy [17]

Answer/Step-by-step explanation:

The basic rule of maths operation used by Sandi, is the PEMDAS Rule.

Maths operations like the one Sandi was given must follow this rule. According to the rule:

P - Parentheses, solve everything you have in the parentheses first.

E - Exponents, do the exponents.

M - Multiplication or

D - Division operation should come next.

A - Addition or

S - Subtraction comes last.

Let's apply this rule to see if Sandi rightly applied the PEMDAS Rule:

Step 1:

6*4 + 2 ÷ 2 - 7 (given)

Step 2: perform operation involving Multiplication first according to PEMDAS Rule.

24 + 2 ÷ 2 - 7 (multiplication first. I.e. 6*4 = 24)

Step 3: perform division operation next.

24 + 1 - 7 (division operation. i.e. 2÷2 = 1)

Step 4: Subtraction

24 - 6 (i.e. +1 - 7 = -6) this is where Sandi made an error.

Step 5: subtraction

24 - 6 = 18.

Sandi made a mistake in step 4 and 5. Her addition and subtraction operation was wrong. 1 - 7 = -6 not +6.

During operation like this, either subtraction or addition can come first.

6 0

4 years ago

Read 2 more answers

Whichwhich would you measure using inches? A. length of a pen B. height of a flagpole C. length of a cross-country race course D

Taya2010 [7]

Answer:

The length of a pen.

Step-by-step explanation:

A length of a pen is around three inches and is reasonable but all of the others are way too big and can be measured in feet or miles.

3 0

3 years ago

Hii I really need the answers for question 3 and 4, or if you want you could just give me the answers for 3, I just need to chec

ohaa [14]

Answer:

3. A). (1/4), (2/3), (3,4), (4/5), (5/6)

B). I'm not sure of this one

4. A). (1/2), (3/4), (7/8), (7/6)

B). (1/6), (3/12), (4/10), (3/4), (4/3)

C). (4/10), (2/4), (4/6), (2,3), (4/5)

Step-by-step explanation:

Sorry if any of this is wrong I tried my best.

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3 years ago

How much times greater is 9*10^5 than 8*10^2

nadya68 [22]

Answer: 1125 times greater

Step-by-step explanation:

9*10^5 =9*100000 = 900000

8*10^2 = 8*100 = 800

900000/800 = 9000/8 = 1125

4 0

3 years ago

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What is the area of the trapezoid with height 10 units?

aleksley [76]

If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units. If you mean the bases of the triangles then the area is 170 sq. units.

If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:

10² + b² = 12²

100 + b² = 144

b² = 44

b = √44 = 6.6

This means we have two triangles and a rectangle. The area of the rectangle is 5(10) = 50 sq. units. The area of each triangle is 1/2(6.6)(10) = 33. Adding all 3 together we have:

50+33+33 = 116 sq. units.

If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:

50+60+60 = 170 sq. units.

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3 years ago