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Mama L [17]
3 years ago
14

Solve for x. PLZ HELP ASAP!!!

Mathematics
1 answer:
ycow [4]3 years ago
3 0

X is a vertical angle to the angle marked as 100 degrees.

Vertical angles are the same so x = 100 degrees

Answer: 100 degrees

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A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10
Marta_Voda [28]

Answer:

1138

Step-by-step explanation:

From the information given:

We can represent it perfectly in an exponential form:

m  = p(q)^x

where;

p = initial value = 120

q = base of the exponential form

q = 1 + r

here; r = rate in decimal = 10% = 0.1

Then q can now be = 1 + 0.1 = 1.1

Replacing it into the exponential form, we get:

m = 120(1.1)^x

where;

x = number of days and m = number of shoppers

Thus:

For the first day:

m = 120(1.1)^x

m = 120

For the second day:

m = 120(1.1)^1

m = 132

For the third day:

m = 120(1.1)^2

m = 145.2

For the fourth day

m = 120(1.1)^3

m = 159.72

For the  fifth-day

m = 120(1.1)^4

m = 175.692

For the sixth-day

m = 120(1.1)^5

m = 193.2612

For the seventh-day

m = 120(1.1)^6

m = 212.58732

Thus; the total numbers of shoppers for the first 7 days is:

= 120+ 132 + 145.2 + 159.72 + 175.692+193.2612+212.58732

= 1138.46052

≅ 1138

6 0
3 years ago
Solve using algebraic equation: <br> 5sin2x=3cosx<br><br> (No exponents)
DaniilM [7]
5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0

Now the zero product property tells us that there are two cases where this is true,

\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of \dfrac\pi2, so x=\dfrac{(2n+1)\pi}2 where n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}

which occurs twice in the interval [0,2\pi) for x=\arcsin\dfrac3{10} and x=\pi-\arcsin\dfrac3{10}. More generally, if you think of x as a point on the unit circle, this occurs whenever x also completes a full revolution about the origin. This means for any integer n, the general solution in this case would be x=\arcsin\dfrac3{10}+2n\pi and x=\pi-\arcsin\dfrac3{10}+2n\pi.
6 0
3 years ago
3xy<br> А.<br> у<br> 2х<br> ху.<br> Simplify expression
Anika [276]
Nah fam math hard math can solve its own problems 82773919
3 0
2 years ago
What is the product of 4 × 40?
nignag [31]

Answer:

160 Hope this helps :)

8 0
3 years ago
Read 2 more answers
How many grams are equal to 4965 mg
irinina [24]

Answer

4.958 grams

Step-by-step explanation:

5 0
3 years ago
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