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3 years ago

Solve the right triangle. Round decimal answers to the nearest tenth.

Mathematics

1 answer:

Licemer1 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

Use the Pytago theorem.

AB^2=AC^2+BC^2

AB^2= 9^2 + 12^2

= 225

AB = $\sqrt225}$

= 15

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For each sentence below, find the value of x that makes each sentence true.

vitfil [10]

ANSWER

1. $x=\frac{1}{2}$

2. $x=1$

QUESTION 1

The first sentence is $(5^{\frac{1}{5}})^5=25^x$ .

Recall that;

$(a^m)^n=a^{mn}$

We simplify the left hand side by applying this property to get;

$5^{\frac{1}{5}\times 5}=25^x$ .

$\Rightarrow 5^{1}=25^x$ .

We now rewrite the right hand side too in an index form to obtain;

$\Rightarrow 5^{1}=5^{2x}$

We now equate the exponents to get;

$\Rightarrow 1=2x$ .

$\Rightarrow \frac{1}{2}=x$

$\Rightarrow x=\frac{1}{2}$ .

QUESTION 2

The second sentence is $(8^{\frac{1}{3}})^2=4^x$

We simplify the left hand side first to get;

$(2^{3\times \frac{1}{3}})^2=4^x$

$2^2=4^x$

We now rewrite the left hand side too in index form to obtain;

$2^2=2^{2x}$

We equate the exponents to get;

$2=2x$

This implies that;

$1=x$

$x=1$

4 0

3 years ago

Find the cosine ratio of angle Θ. Hint: Use the slash symbol ( / ) to represent the fraction bar and enter the fraction with no

lina2011 [118]

Find the cosine ratio of angle ΘΘ. Hint: Use the slash symbol ( / ) to represent the fraction bar and enter the fraction with no spaces. (4 points)

Cosine=adjacent/hypotenuse
adjacent=8
Hypotenuse =17

cosΘ=8/17

3 0

3 years ago

Read 2 more answers

HELP I DONT GET THIS AT ALL. ITS ABOUT INEQUALITIES EXPLANATION NEEDED

wel

Answer:

Since the slope of the line is (31/4 - 25/4) / (5/4 - 3/4) = 3 that means that for every 1 that x increases, y increases by 3 so an example could be 1 3/4 for x and 9 1/4 for y.

7 0

3 years ago

For 0° ≤ x < 360°, what are the solutions to sin(StartFraction x Over 2 EndFraction) + cos(x) – 1 = 0 ?

nataly862011 [7]

Answer:

{60°,300°}

Step-by-step explanation:

edge 2020

6 0

3 years ago

Find the number of combinations for choosing two people from six.

Talja [164]

Number of combinations = (6x5) ÷ 2 = 15

Answer:There are 15 combinations

7 0

3 years ago