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Usimov [2.4K]
3 years ago
10

Find the length of the hypotenuse. Round your answer to the nearest hundredth. *

Mathematics
1 answer:
Rom4ik [11]3 years ago
3 0

Answer:

c = 8.06

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + b^2 = c^2

c^2 = a^2 + b^2

c^2 = 4^2 + 7^2

c^2 = 16 + 49

c^2 = 65

c = sqrt(65)

c = 8.06

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The Sun hits a 30 foot flagpole at a 60° angle and casts an unobstructed 52 foot shadow. If a building is built 32 feet away, wh
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3 years ago
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John is standing in his backyard and decides to estimate the height of a tree. He stands so that the tip of his shadow coincides
Andrew [12]

The tree is 820 inches tall using the similarity of triangles.

To get the height of the tree, we will use the properties of similar triangles expressed as:

\frac{70in}{7ft} = \frac{h}{75ft+7ft}\\\frac{70in}{7ft} = \frac{h}{82ft}\\

  • Note that 1 foot = 12inches
  • 7ft = 84in and 82ft = 984in

  • h is the required height of the tree. Simplify the equation above to get the height "h" and replace feet with inches;

\frac{70}{84} = \frac{h}{984}\\84h =70 \times 984\\84h = 68,880\\h=\frac{68,880}{84}\\h= 820in

Hence the tree is 820 inches tall using the similarity of triangles.

Learn more on similarities of triangles here: brainly.com/question/24295402

8 0
3 years ago
2. Which words could be represented by
MakcuM [25]

Answer:

Step-by-step explanation:

nobody answered yet, its between G and H, im leaning more towards G, but J and F are definitely not the answers.

I hope this helps a little bit

7 0
3 years ago
The letters in the word STATISTICS are printed on identical index cards with one letter per card. The ten cards are
Alex17521 [72]

Answer:

a.

Outcome ---------- Probability

S -------------------------- 0.3

T -------------------------- 0.3

A -------------------------- 0.1

I --------------------------- 0.2

S -------------------------- 0.1

b.

P(V) = 2/10

P(F) = 2/10

c.

Events V and F are not mutually exclusive

Step-by-step explanation:

Given

Text: STATISTICS

Solving (a): Outcomes and Probabilities

The text is made of the following makeup.

S = 3

T = 3

A = 1

I = 2

C = 1

Total = 10

The probability of each outcome is calculated by dividing the occurrence of each alphabet by the total number of alphabets

So:

S = 3/10 = 0.3

T = 3/10 = 0.3

A = 1/10 = 0.1

I = 2/10 = 0.2

C = 1/10 = 0.1

In tabular form, we have:

Outcome ---------- Probability

S -------------------------- 0.3

T -------------------------- 0.3

A -------------------------- 0.1

I --------------------------- 0.2

S -------------------------- 0.1

Solving (b)

V = Vowels

F = A - M

Calculating P(V)

P(V) = Number of vowels divided by total

The vowels are A and I.

So, number of vowels is 2

P(V) = 2/10

Calculating P(F)

P(F) = Number of alphabets from A to M divided by total

Alphabets from A and M are A and I

So, number of alphabets in this category is 2

So:

P(F) = 2/10

Solving (c):

Events V and F are not mutually exclusive because both can occur at the same time.

i.e.

An event can be a vowel and still be between A and M

3 0
2 years ago
Please help me answer this!!!!
nexus9112 [7]
K = 70 i did 6 x -5 which was -30 then -30+100 = 70
7 0
3 years ago
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