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3 years ago

Geometry help needed, thanks!!

Mathematics

1 answer:

Anon25 [30]3 years ago

8 0

Answer:

Part 1) 0.669

Part 2) x=23.78 cm

Step-by-step explanation:

Part 1) we have

cos(48°)

Using a calculator

cos(48°)=0.66913

Round to the nearest thousandth

0.66913=0.669

Part 2) we know that

In the right triangle of the figure

The cosine of angle of 18 degrees is equal to divide the adjacent side to the angle of 18 degrees by the hypotenuse of the right triangle

cos(18°)=x/25

x=(25)cos(18°)=23.78 cm

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Using Cramer's rule to solve linear systems.

Rzqust [24]

Answer: Last Option

$x=2,\ y=-5$

Step-by-step explanation:

Cramer's rule says that given a system of equations of two variables x and y then:

$x =\frac{Det(A_X)}{Det(A)}$

$y =\frac{Det(A_Y)}{Det(A)}$

For this problem we know that:

$Det(A) = |A|=\left|\begin{array}{ccc}4&-6\\8&-2\\\end{array}\right|$

Solving we have:

$|A|= 4*(-2) -(-6)*8\\\\|A|=40$

$Det(A_X) = |A_X|=\left|\begin{array}{ccc}38&-6\\26&-2\\\end{array}\right|$

Solving we have:

$|A_X|=38*(-2) - (-6)*26\\\\|A_X|=80$

$Det(A_Y) = |A_Y|=\left|\begin{array}{ccc}4&38\\8&26\\\end{array}\right|$

Solving we have:

$|A_Y|=4*(26) - (38)*8\\\\|A_Y|=-200$

Finally

$x =\frac{|A_X|}{|A|} = \frac{80}{40}\\\\x=2$

$y =\frac{|A_Y|}{|A|} = \frac{-200}{40}\\\\y=-5$

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2 years ago

Write the decimal as a fraction or a mixed number in simplest form. 4.02

Dima020 [189]

It's fraction form, 4.02 = 402/100 = 201/50

In mixed form, 4 1/50

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3 years ago

Solve 765/14 and write your answer in terms of a mixed number (please use this format: 75 3/5). *

kozerog [31]

the answer is 54 9/14

because Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

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3 years ago

Read 2 more answers

Which equation could be used to find the length of the hypotenuse?

damaskus [11]

c^ 2 = a^2 + b^2

given a = 2 and b = 5

c^2 = 2^2 + 5^2

2^2 + 5^2 = c^2

answer is the first one

2^2 + 5^2 = c^2

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