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lbvjy [14]
3 years ago
7

<a and <b are complementary angles. The measure of <a is four times as big as <b. What is the measure of <a​

Mathematics
1 answer:
Margaret [11]3 years ago
5 0
Answer = 72°

Complementary angles always add up to be 90.
We can write the smaller angle as x and the bigger angle as 4x, because it is 4 times bigger than x.

x + 4x = 90
5x = 90
x = 18.

This proves the smaller angle, or angle B, is 18. We know angle A is 4 times as big as 18, so we can multiply 18 x 4 to get 72.

Double check = 72 + 18 = 90
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NUMBER 4 DO ANYONE KNOW IT PLEASE HELP
ss7ja [257]

Answer:

The Height of the cliff is 41.5 meters tall.

Option B. 41.5 meters.

Step-by-step explanation:

Given:

AB = 85 meter

Angle of elevation ∠ C= 26°

To Find:

Cliff height = AB = ?

Solution:

In right angle Triangle ABC by tangent Identity we have

\tan C = \frac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}

Substituting the given values we get

\tan 26 = \frac{AB}{BC}=\frac{AB}{85}

\therefore AB=85\times 0.4877=41.45=41.5\ meters

The Height of the cliff is 41.5 meters tall.

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3 years ago
I need to know Question 2?
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They ate 4 1/5 ounces of candy.
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3 years ago
If there is thirtysix times it by 1 million how much will that be
alexira [117]

Answer:

36*1 000 000

=36  000   000

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Mary earns $25 per hour at her job. Next month, she will receive a 10% raise. Complete the two expressions that represent how mu
Natali5045456 [20]
25 + _0.10__*25

25 + __2.5___

In the 1st blank, the answer is 0.1 or 0.10 because you have to change percents to decimals to find the raise. 10% as a decimal = 0.1 or 0.10

In the 2nd blank, the answer is 2.5 because on the top, it's 0.1*25, which equals 2.5, and 2.5 is the raise. All you have to do is multiply 10%, or 0.1, by 25, and you get 2.5.

Hope this helped☺☺
6 0
4 years ago
The Fibonacci sequence is perhaps best known from its appearance in the novel and movie "The Da Vinci Code." What are some of th
natita [175]

Answer:

Step-by-step explanation:

We observe that many of the natural things follow the Fibonacci sequence. It appears in biological settings such as branching in trees, phyllotaxis (the arrangement of leaves on a stem), the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern and the arrangement of a pine cone's bracts etc.

The divine proportion—which is sometimes represented by the Greek letter φ, generally written in English as phi and pronounced “fie”—is one of nature’s own mysteries, a mystery that was fully unraveled only 10 years ago. The quest to uncover the φ Code, as I’ll call it, provides a story with almost as many surprising turns, puzzles, and false leads as The Da Vinci Code.

The decryption process follows a reverse process of Encryption. Recipient extracted each symbol from the received text file and mapped to find its hexadecimal value. Obtained value is converted into a decimal value to find out the plain text using the key. Without knowledge of the key an unknown person cannot understand the existence of any secret message.

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4 years ago
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