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2 years ago

Using law of cosines, what is angle X to the nearest degree

Mathematics

2 answers:

Sliva [168]2 years ago

6 0

Answer:79 degrees

Step-by-step explanation:

Jus took the test hope this helps

Monica [59]2 years ago

3 0

Answer:

$X=68\°$

Step-by-step explanation:

we know that

Applying the law of cosines to the triangle of the figure

$yz^2=xy^2+xz^2-2(xy)(xz)cos(X)$

substitute the given values

$9^2=8^2+8^2-2(8)(8)cos(X)$

Solve for X

$81=64+64-128cos(X)$

$81=128-128cos(X)$

$128cos(X)=128-81$

$128cos(X)=47$

$cos(X)=\frac{47}{128}$

using a calculator

$X=cos^{-1}(\frac{47}{128})$

$X=68\°$

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Find the value of x (8x-1) (4x+7)

Helen [10]

Answer:

The value of x = 7

Step-by-step explanation:

Given the right triangle

Right angle = 90°

α = (4x+7)°

β = (8x-1)°

We know that the sum of angles of a triangle is 180°.

Right angle + α + β = 180°

90° + 4x+7 + 8x-1 = 180

Group like terms

$4x+8x+90+7-1=180$

Add similar elements: :4x+8x=12x

$12x+90+7-1=180$

$12x+96=180$

$12x=84$

Divide both sides by 12

$\frac{12x}{12}=\frac{84}{12}$

$x = 7$

Therefore, the value of x = 7

7 0

3 years ago

Simplify the following expression. 4a^-2b A.) b/4a^2 B.)4b/a^2 C.)1/4a^b2

Sergio [31]

ANSWER

The correct answer is B

$\frac{4b}{ {a}^{2} }$

EXPLANATION

The given exponential expression is

$4 {a}^{ - 2} b$

We can rewrite this as,

$4b \times {a}^{ - 2}$

We need to simplify to obtain a positive index, so we apply the following property,

${a}^{ - m} = \frac{1}{ {a}^{m} }$

This implies that,

$4b \times {a}^{ - 2} = 4b \times \frac{1}{ {a}^{2} }$

This will finally simplify to,

$4b \times {a}^{ - 2} =\frac{4b}{ {a}^{2} }$

Therefore the correct answer is B

6 0

2 years ago

Read 2 more answers

PLEASE HELP!! I’m very confuse

SVETLANKA909090 [29]

Given:

A(16, 4)

B(34, 40)

Line segment AB partition in the ratio 1 : 5.

To find:

The coordinate of a point that partitions AB.

Solution: