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juin [17]
3 years ago
6

4. In the diagram, LW is parallel to ST. RL = 6 centimeters, LS = 3

Mathematics
1 answer:
tamaranim1 [39]3 years ago
4 0
6 is twice as much as 3...so x will be twice as much as 4. So the answer is...
C. 8
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Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyelin
boyakko [2]
<h3>Answer:  24 feet  (Choice D)</h3>

=============================================

Explanation:

Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.

Focus on triangle BCD.

The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.

We know that he's 14 ft off the ground, which explains why AB = CD = 14.

The goal is to find BC = AD = x.

---------------------------

Again, keep your focus on triangle BCD.

We'll use the tangent ratio to say

tan(angle) = opposite/adjacent

tan(B) = CD/BC

tan(30.26) = 14/x

x*tan(30.26) = 14

x = 14/tan(30.26)

x = 23.9965714046732

That value is approximate. Make sure your calculator is in degree mode.

That value rounds to 24 feet when rounding to the nearest whole foot.

6 0
3 years ago
What are the potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2?
Dmitry_Shevchenko [17]

The potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)

<h3>How to determine the potential zeros of the function f(x)?</h3>

The function is given as:

f(x)=6x^4+ 2x^3 - 4x^2 +2

For a function P(x) such that

P(x) = ax^n +...... + b

The rational roots of the function p(x) are

Rational roots = ± Possible factors of b/Possible factors of a

In the function f(x), we have:

a = 6

b = 2

The factors of 6 and 2 are

a = 1, 2, 3 and 6

b = 1 and 2

So, we have:

Rational roots = ±(1, 2)/(1, 2, 3, 6)

Split the expression

Rational roots = ±1/(1, 2, 3, 6)/ and ±2/(1, 2, 3, 6)

Evaluate the quotient

Rational roots = ±(1, 1/2, 1/3, 1/6, 2, 1, 2/3, 1/3)

Remove the repetition

Rational roots = ±(1, 1/2, 1/3, 1/6, 2, 2/3)

Hence, the potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)

The complete parameters are:

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

The potential zeros of f(x)=6x^4+ 2x^3 - 4x^2 +2 are ±(1, 1/2, 1/3, 1/6, 2, 2/3)

Read more about rational roots at

brainly.com/question/17754398

#SPJ1

4 0
2 years ago
A student survey was conducted in a major university, where data were collected from a random sample of 750 undergraduate studen
Mekhanik [1.2K]

Answer:

Pie Chart

Step-by-step explanation:

The variable mentioned in this case is categorical. That is, it has no numerical value, and can only be put into categories.

Some of the basic rule In statistics to represent data using charts are as follows:

• For categorical variables (nominal/ordinal) variables, use pie charts and bar charts

• For interval/ratio variables, use histograms

A pie chart is a circular chart divided into wedge-like portions and is basically used to display percentage or proportion of categories in the data The percentage represented by each category is shown by the corresponding slice/portion of the whole pie.

4 0
3 years ago
Which rate is equivalent to the rate of 700 miles in 15 hours?
lara31 [8.8K]
700 / 15 = 46.67 mph     and 140 / 3 = 46.67 so your answer is B


6 0
3 years ago
Sujit is choosing between two silent books to carry in his backpack. The 309-page paperback weighs 1/2 pounds. The 341-page hard
lawyer [7]
The answer is 1 3/4 pounds. If you convert 1/2 into fourths it would be 2/4, If you add 1/4+2/4=3/4. After that, you add the whole.
8 0
3 years ago
Read 2 more answers
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