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2 years ago

URGENT! In ABC. what is the value of r?

Mathematics

1 answer:

Bond [772]2 years ago

3 0

Answer:

16.2

Step-by-step explanation:

By geometric mean theorem:

${9}^{2} = 5(x) \\ \\ \implies \: 81 = 5x \\ \\ \implies \: x= \frac{81}{5} \\ \\ \implies \: x=16.2$

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What's the answer to this?

sleet_krkn [62]

X for left(blue)=43
x for right(red)=17.5

5 0

3 years ago

The length of Peter's rectangular living room is 6 meters and the distance between opposite corners is 7 meters. What is the wid

padilas [110]

Answer:

3.6 m

Step-by-step explanation:

Given that :

Length of room = 6

Distance between opposite corners = 7

Width of room :

Using Pythagoras rule:

Opposite ²= hypotenus² + adjacent²

From. The diagram attached :

w² = 7² - 6²

w² = 49 - 36

w² = 13

w = 3.605

w = 3.6 m

7 0

3 years ago

Which expressions are equivalent to √1,120y? Select three options.

ozzi

The expression that is equivalent to √1,120y is: 4√70y.

<h3>What are Equivalent Expressions?</h3>

Expressions are said to be equivalent when the value of one is the same as the value of the other when evaluated or simplified.

Given the expression, √1,120y, we can simplify as shown below:

√(16 × 70 × y)

= 4√70y

Thus, 4√70y is equivalent to √1,120y .

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3 0

2 years ago

Imagine that you are given two linear equations in slope-intercept form. You

murzikaleks [220]

The correct answer is option D.

<h3>What is Straight Line?</h3>

A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.

When two equations have same slope and their y-intercept is also the same, they are representing the line. In this case one equation is obtained by multiplying the other equation by some constant.

If we plot the graph of such equations they will be lie on each other as they are representing the same line. So each point on that line will satisfy both the given equations so we can say that such equations have infinite number of solutions.

Consider an example:

Equation 1: 2x + y = 4

Equation 2: 4x + 2y = 8

If you observe the two equation, you will see that second equation is obtained by multiplying first equation by 2. If we write them in slope intercept form, we'll have the same result for both as shown below:

Slope intercept form of Equation 1: y = -2x + 4

Slope intercept form of Equation 2: 2y = -4x + 8 , ⇒ y = -2x + 4

Both Equations have same slope and same y-intercept. Any point which satisfy Equation 1 will also satisfy Equation 2. So we can conclude that two linear equations with same slope and same y-intercept will have an infinite number of solutions.

Thus, the correct answer is option D.

Learn more about Straight line from:

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2 years ago

Q 1 PLEASE HELP ME FIGURE THIS OUT 2

dimulka [17.4K]

Answer: $\frac{\pi }{3}$

<u>Step-by-step explanation:</u>

cot is $\frac{cos}{sin}$ on the Unit Circle. When is cos = $\frac{1}{2}$ and sin = $\frac{\sqrt{3}} {2}$ ? In other words, where is the coordinate $(\frac{1}{2},\frac{\sqrt{3}} {2})$ on the Unit Circle?