The amount of water four runners drank are shown at the right. Who drank the most?

guapka [62]

Answer: Mika has not described a proportional relationship. Although it is a linear function, it does not pass through the origin.

Step-by-step explanation: if you place those points on a graph, they do create a linear function; the line just doesn't pass through the origin.

5 0

3 years ago

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What is the length of missing side JK? Round Answer to nearest tenth please.

zvonat [6]

Given:

Triangle LJK.

LJ = 89 in, LK = 28 in and m∠L = 42°

To find:

The length of missing side JK.

Solution:

LJ = k = 89

LK = j = 28

JK = l = ?

Using law of cosine:

$l^{2}=j^{2}+k^{2}-2 jk \cdot \cos L$

Substitute the given values.

$l^{2}=28^{2}+89^{2}-2 \cdot 28 \cdot 89 \cdot \cos 42^\circ$

$l^{2}=784+7921-4984 \cdot (0.7)$

$l^{2}=784+7921-4984 \cdot (0.7431)$

$l^{2}=784+7921-3703.6$

$l^{2}=5001.4$

Taking square root on both sides.

$l=70.7$

The length of the missing side is 70.7 in.

4 0

4 years ago

This problem please

miskamm [114]

surface areas:

1. 94 ft

2. 96 cm

volumes:

1. 60 ft

2. 42 cm

3 0

3 years ago

Geometry Pythagorean theorem

lara31 [8.8K]

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<u>Question 9:</u>

10² = 6² + x²
=> 100 = 36 + x²
=> 100 - 36 = x²
=> 64 = x²
=> x = 8

<u>Question 10:</u>

26² = 24² + x²
=> 676 = 576 + x²
=> 676 - 576 = x²
=> 100 = x²
=> x = 10

<u>Question 11:</u>

15² = 12² + x²
=> 225 = 144 + x²
=> 225 - 144 = x²
=> 81 = x²
=> x = 9

<u>Question 12:</u>

x² = 8² + 12²
=> x² = 64 + 144
=> x² = 208
=> x = √208
=> x = 14.2 (Rounded)

<u>Question 13:</u>

7² = 2² + x²
=> 49 = 4 + x²
=> 49 - 4 = x²
=> 45 = x²
=> x = √45
=> x = 6.7 (Rounded)

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

=> 5² = 3² + x²
=> 25 = 9 + x²
=> 16 = x²
=> x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

(3 + 6)² = 5² + y²
=> (9)² = 25 + y²
=> 81 = 25 + y²
=> y² = 56
=> y = √56
=> y = 7.5 (Rounded) units

Answers (Nearest tenth):

x = 4 units
y = 7.5 units

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

8² = 6² + y²
=> 64 = 36 + y²
=> 28 = y²
=> y = √28
=> y = 5.3 (Rounded) units

Now, let's find the value of the variable x using multiplication.

x = 2y
=> x = 2(5.3)
=> x = 10.6 units

Answer (Nearest tenth)

x = 10.6 units
y = 5.3 units

5 0

2 years ago

In which way are mercury n Venus similar ?

ozzi

they both small and Rocky

8 0

3 years ago

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