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2 years ago

In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=57°, and XY = 8 feet. Find the length of YZ to the nearest tenth of a foot.

Mathematics

2 answers:

Zolol [24]2 years ago

6 0

Answer:

Step-by-step explanation:

dybincka [34]2 years ago

6 0

Answer:

I got 3.9

Step-by-step explanation:

I used Sin Law to answer this question. Angle Z corresponds with the side that it face. So it will be 8/sin(90) = x/ sin(57) Where x is the side that you are looking for. Once you cross multiply you get 8sin(57) = x sin(90). After that divide sin(90) to solve for x, which is the side that you are looking for. And I got 3.9 to the nearest tenth of a foot.

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iren [92.7K]

Answer:

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Step-by-step explanation:

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1² + (√7)² = 8, ≠ RHS [No]

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3 years ago

7. Write the equation of a line which passes through the points (-3,5) and (6,23)

faust18 [17]

Answer:

answer to the equation is

$y = 2x + 11$

Step-by-step explanation:

$y = mx + b$

first find the slope of the line using the two points

$slope \: m = \frac{y2 - y1}{x2 - x1} = \frac{23 - 5}{6 - ( - 3)} \\ = \frac{18}{9} \\ slope \: m = 2$

substitute 2 for m and use one of the points for x and y and solve for b

$5 = 2( - 3) + b \\ 5 = - 6 + b \\ 5 + 6 = b \\ b = 11$

Now that you found b, the y-intercept, you can substitute that into the equation for your line

$y = 2x + 11$

7 0

2 years ago

Please please help me on this.

quester [9]

Answer:

Step-by-step explanation:

An equation in the form y=kx represents something increasing at a constant rate

5 0

2 years ago

Solve for t - 7/4 = 2/5 (t) t=

Lena [83]

-7/4:-1.75
2/5:0.4
-1.75=0.4t
-1.75/0.4=t
-4.375=t

Hope I helped you well, have a victorious day!

4 0

3 years ago

A number cube with faces labeled from 1 to 6 will be rolled once.

kramer

Answer:

$\Omega=\{1,2,3,4,5,6\}$

$A=\{1,2,3,4\}$

Step-by-step explanation:

Sample Space

The sample space of a random experience is a set of all the possible outcomes of that experience. It's usually denoted by the letter $\Omega$ .

We have a number cube with all faces labeled from 1 to 6. That cube is to be rolled once. The visible number shown in the cube is recorded as the outcome. The possible outcomes are listed as the sample space below:

$\Omega=\{1,2,3,4,5,6\}$

Now we are required to give the outcomes for the event of rolling a number less than 5. Let's call A to such event. The set of possible outcomes for A has all the numbers from 1 to 4 as follows

$A=\{1,2,3,4\}$

3 0

3 years ago