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olga nikolaevna [1]
3 years ago
5

Solve for theta to the nearest degree​

Mathematics
1 answer:
ozzi3 years ago
6 0

Step-by-step explanation:

So first thing is to determine which trigonometric ratio we use here. Theta is adjacent to 5 and 8 is the hypotenuse, so we should be using Cosine.

So we set up the equation

cos θ = adj/hype

cos θ = 5/8

θ = cos^{-1} (5/8)

θ=51.3178125...

θ=51°

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If 35 gms of pure drug are contained in 150 mls, how many grams are contained in 75 mls?
Leviafan [203]

Answer:

17.5

Step-by-step explanation:

The ratio of "pure drug" to liquid is 35:150

Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2

we can then multiply 35 by the ratio 1/2

35/2=17.5

State the answer

In 75 mls there are 17.5 grams of pure drug

8 0
3 years ago
Study the geometric sequence {-4, -84, -1764, -37044, ...}.
Nonamiya [84]

Answer:

              \bold{a_n=(-4)21^{n-1}}

Step-by-step explanation:

a_1=-4\,,\ a_2=-84\,,\ a_3=-1764\,,\ a_4=-37044\quad\implies\ \ r=21

{-84:(-4)=21 and -1764:(-84)=21 and -37044:(-1764)=21}

geometric sequence formula:   a_n=a_1r^{n-1}

a_1=-4\quad and \ \ r=21

a_n=(-4)21^{n-1}

3 0
3 years ago
Graph the function f(x) = - squared x + 2
MariettaO [177]

One of the ways to graph this is to use plug in a few x-values and get an idea of the shape. Since the x values keep getting squared, there is an exponential increase on either side of the y-axis. You can see this by plugging in a few values:

When

x=0,f(x)=0

x=1,f(x)=1^2=1

x=2,f(x)=2^2=4

x=3,f(x)=3^2=9

x=4,f(x)=4^2=16

The same holds true for negative x-values to the left of the y-axis since a negative value squared is positive. For example,

x=−1,f(x)=(−1)2=1*−1=1

x=2,f(x)=(−2)2=−2*−2=4

The graph of f(x)=x^2 is called a "Parabola." It looks like this:

5 0
3 years ago
The circle graph shows the results of a survey about the number of days
muminat

Answer:

105

Step-by-step explanation:

300 x 0.35 = 105

5 0
3 years ago
the volume of a rectangular pyramid is 125 cm cubic inchs. what is the volume of a rectangular prism having a congruent base and
Mnenie [13.5K]
I am confused with regards to the unit. You wrote cm cubic inches. So, I'll just use cubic unit.

Given:
Volume of rectangular pyramid is 125 cubic unit

Volume of rectangular pyramid = (length * width * height) ÷ 3

Volume of rectangular prism = length * width * height

The main difference between the two volumes is the present of 3.

Volume of rectangular prism = Volume of rectangular pyramid * 3

V = 125 cubic unit * 3 = 375 cubic unit
5 0
3 years ago
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