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Helen [10]
4 years ago
5

What is X= and what does Y=​

Mathematics
1 answer:
zmey [24]4 years ago
6 0

Answer:

Step-by-step explanation:

<RTQ = <RQT = 55° = y {isosceles triangle are equal}

<QST = <STQ = x {isosceles triangle}

: 2x + 86° = 180° {sum of angle in a triangle is 180°}

2x = 180° - 86°

2x = 94°

x = 94/2

x = 47°

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For an outdoor concert by the city​ orchestra, concert organizers estimate that 19 comma 000 people will attend if it is not rai
Amiraneli [1.4K]

Answer:

14,800 people are expected to attend the concert

Step-by-step explanation:

In this question, we are tasked with calculating the expected number of people that will attend a concert on a particular day.

The key to answering this question is to multiply the individual probabilities of the two events by the expected number of people

Mathematically, what we obtain is the following;

The expected number of people at the concert = (probability of raining × expected number of people when it rains) + (probability of not raining × Expected number of people when it does not rain)

From the question, we identify that;

Probability of raining = 30% = 30/100 = 0.3

Probability of not raining = 1-probability of raining = 1-0.3 = 0.7

Expected number of people when it rains = 5,000

Expected number of people when there is no rain = 19,000

we plus these vales into the equation we have;

The expected number of people at the concert =( 0.3 × 5,000) + (0.7 × 19,000) = 1,500 + 13,300 = 14,800 people

6 0
4 years ago
The wheels of a monster truck are 66 inches tall. Find the distance the monster truck travels when the tires make one 360-degree
LuckyWell [14K]

Answer:

<u>207.35 inches</u>

Step-by-step explanation:

The wheel is in the shape of circle. The height, here, basically gives the diameter.

So,

Diameter = 66 in

Radius is half of diameter, so radius is:

66/2 = 33 inches

r = 33

Now, the distance truck travels when 1 rotation is made is the length of the perimeter of the circular wheel, or the circumference.

The formula is:

C=2\pi r

Where C is circumference

r is the radius

Substituting, we get the answer as:

C=2\pi r\\C=2\pi (33)\\C=66\pi\\C=207.35

The distance covered is about <u>207.35 inches</u>

3 0
3 years ago
A sequence is a function whose domain is the set of __numbers.
MariettaO [177]
Answer - natural

A sequence is a function whose domain is the set of natural numbers.
5 0
3 years ago
Given f(x) = x+2 and g(x) = x-4 solve for (fg)(x)
kirza4 [7]

Answer:  f(g(x)) = x - 2

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

f(x) = x + 2            

g(x) = x - 4

f(g(x)) = f(x - 4) = (x - 4) + 2        <em>replaced x with x - 4</em>

                       = x - 2                 <em>simplified</em>

6 0
4 years ago
Sale Price: On opening day, a new music store offers a 16% discount on all electric guitars. If the regular price on a guitar is
svetoff [14.1K]
This can be done easily in a few ways. One, you could do equivelent fractions as this. 16 percent is the same as 16 over 100, or, 16/100, 100 being the total with an = sign with X over 550, or, X/550. you can multiply 16 by 500 and divide by 100 to get $88. Or you could do it my way, (prefered way). take the $550, divide it by 100, then multiply by 16 and get $88. either way you do this, you take away the $88 from $550 and get the sale price of [Drumroll please...]
<em><u>462 Dollars!</u></em>





6 0
3 years ago
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