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3 years ago

6. Find the missing side. Round to the nearest tenth

Mathematics

1 answer:

Serggg [28]3 years ago

7 0

Answer:

x = 7.6

Step-by-step explanation:

We know the opposite side and the adj side and this is a right triangle

tan theta = opp / adj

tan 66 = 17/x

x tan 66 = 17

x = 17 /tan 66

x=7.56888

To the nearest tenth

x = 7.6

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Identify as many mistakes as you notice on Lin's graph.

laiz [17]

Answer:

The mistakes are that he placed C in the (5,8) instead of (5,7) and he placed D in (-3,-4) instead of placing it in (-4,-3)

Step-by-step explanation:

4 0

3 years ago

Need help with radical expression!!! It’s asking for a set of all x where the expression is defined in interval form!

gayaneshka [121]

Answer: (0, 25) ∪ (25, ∞)

Step-by-step explanation:

The expression is undefined when the denominator is equal to zero and when the radicand (expression inside the radical) is less than zero.

Let's deal with the denominator first by finding the x-values that would make the denominator equal to zero (these are the values that will NOT be included in the interval notation)

x - 5√x = 0

x = 5√x added 5√x to both sides

x² = 25x squared both sides

x² - 25x = 0 subtracted 25x from both sides

x(x - 25) = 0 factored the quadratic equation

x = 0 and x - 25 = 0 applied the Zero Product Property

x = 0 and x = 25 solved for x

So, x ≠ 0 and x ≠ 25

Next, let's deal with the radicand by setting the expressions inside the radicals to "greater than or equal to zero".

2√x and 5√x both have a radicand of x

x ≥ 0

Now, let's put it all together

x ≥ 0 and x ≠ 0 and x ≠ 25

so, x is between 0 and ∞ but not including 0 or 25.

Interval Notation: (0, 25) ∪ (25, ∞)

Reminder that interval notation uses a bracket [ ] when the value is included and a parenthesis ( ) when the value is not included. Infinity always uses a parenthesis since it is not an actual number.

6 0

3 years ago

A european business has offered to donate to the Salvation Army, but they are requiring a detailed report on expenditures. Chase

dedylja [7]

Answer:

Both processes are correct.

Step-by-step explanation:

Let the mile taken by Chase be 10miles .

He doubles it so it will be 20 and

20% of 20 will be 4

20-4 = 16km

Now Alex operations

(10/5 )*8 = 2*8= 16 km

In both cases the answer will be the same

1 mile = 1.60034 km

Now 10 miles = 16.00 34 km

which is the same as above.

Both the processes are correct.

7 0

3 years ago

Helppppppppppppppppp asappppppp

Pani-rosa [81]

Answer:

140

Step-by-step explanation:

As per picture:

∠PTQ and ∠RTS are vertical angles and they are equal

∠PTQ = (x + 28)°
∠RTS = (2x + 16)°
∠PTQ = ∠RTS
x + 28 = 2x + 16
2x - x = 28 - 16
x = 12

∠PTR is supplementary with ∠PTQ and their sum is 180°

∠PTQ = 12 + 28 = 40°
∠PTR = 180 - 40 = 140°

6 0

4 years ago

the mean of the values in a data set is a. If each of the values in the data set were multiplied by 7, what would be the mean of

Gre4nikov [31]

Answer:

Mean of resulting data = 7 times mean of original data=7a

Step-by-step explanation:

Given that all values in a data set are multiplied by 7. to find the mean of the new set.

Let {x1,x2....xn} be the original data set.

The mean of this data set a= $\frac{x1+x2+...+xn}{n}$

Now multiply all values by 7

New data set

= {7x1, 7x2...7xn}

Sum of these = 7(x1+x2+..+xn) = 7 times sum of original data set

No of element = n for both the sets

Hence new mean = 7 * mean of original set.=7a

in other words, if the mean of the values in a data set is a. If each of the values in the data set were multiplied by 7, new mean would be 7a.

6 0

4 years ago

6. Find the missing side. Round to the nearest tenth ​

6. Find the missing side. Round to the nearest tenth