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torisob [31]
3 years ago
11

Which property is used in the first step to solve this equation

Mathematics
1 answer:
kozerog [31]3 years ago
6 0

Answer:

Distributive property

Step-by-step explanation:

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Given: ΔABC; b= 10; c = 14, and ∠A = 54°. Find the length of side a to the nearest whole number.
alexandr402 [8]
A² = b² + c² - 2bc cosA
a² = 10² + 14² - 2*10*14 cos54
a² = 100 + 196 - 280 * cos54
a = \sqrt{100 + 196 - 280 * cos54}
a = 11.46

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Which points on the graph represent values that could be in the table? A B C D
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list all the possible whole number length and width of rectangles that darla can cut from the 400 square inch piece of paper
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4 0
4 years ago
The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin. The total height of the tw
raketka [301]

The height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm

<em><u>Solution:</u></em>

Given that The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin

<em><u>To find: height of each penguin</u></em>

From given question,

Let "e" be the height of emperor penguin

Let "g" be the height of galapagos penguin

Total height of two penguins = 169 centimeter

Therefore,

height of emperor penguin + height of galapagos penguin = 169

e + g = 169  ---- eqn 1

The emperor penguin is 22 centimeters more than twice the height of the Galápagos penguin

height of emperor penguin = 22 + 2(height of galapagos penguin)

e = 22 + 2g --- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

g = 169 - e ------- eqn 3

Substitute eqn 3 in eqn 2

e = 22 + 2(169 - e)

e = 22 + 338 - 2e

e + 2e = 360

3e = 360

<h3>e = 120</h3>

Thus from eqn 3,

g = 169 - 120

<h3>g = 49</h3>

Thus height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm

3 0
3 years ago
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