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2 years ago

Simplify the expression. Cosx cscx tanx

Mathematics

1 answer:

IgorLugansk [536]2 years ago

7 0

Answer:

Step-by-step explanation:

Using the trigonometric identities

csc x = $\frac{1}{sinx}$ and tan x = $\frac{sinx}{cosx}$

Given

cos x csc x tan x

= cos x × $\frac{1}{sinx}$ × $\frac{sinx}{cosx}$

Cancel sin x and cos x on numerator/ denominator

= 1

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Use the formula v=5to the third power where v is the volume and s is the edge length of the cube to solve this problem what is t

elena-s [515]

If I'm really it correctly, V = 5^3
v = s^3
s = 5
V = 5*5*5
V = 25*5 That's 2 fives multiplied together.
V = 125 cubic units.

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3 years ago

Solve the system of equations x+y= -13 and 4x + 6y = -72 by combining the<br> equations.

uranmaximum [27]

Answer:

Step-by-step explanation:

Fist you add -13 to 6y and than 4x that should be 69420

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2 years ago

If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance

Tomtit [17]

Answer:

a) Interest earned = $36

New Balance = $336

b) Interest rate = 0.05 or 5%

New Balance = $517.5

c) time t = 5

New Balance = $612.5

d) Principal Amount = $675

New Balance = $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding interest

$Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36$

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding rate

$Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%$

So, Interest rate = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding time

$Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5$

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding Principal

$Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675$

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

8 0

2 years ago

Lines that are not in the same plane are called _____ lines. A.perpendicular B.transversal C.skew D.parallel

Kitty [74]

C is correct answer.

Skew is a line that does not have a same plane.

Hope it helped you.

-Charlie

Thanks!

4 0

2 years ago

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Write the following coordinates where they belong in the line segments below. Consider the graph below. Which of the following c

GREYUIT [131]

Answer:

The option B (4 5/8,-2 3/4) = (4.6 , -2.75) will be the coordinates belonging in the box.

Step-by-step explanation:

A.(4 3/4,-3 3/4) = (4.75,-3.75)

B.(4 5/8,-2 3/4) = (4.6 , -2.75)

C.(4 1/4,-5 1/2) = (4.25, -5.5)

D.(4 1/8,-2 3/5) = (4.125, -2.6)

The first point of line segment is: (5.5, -4.25)

second will be (4.75,-3.75)

third will be (4.6 , -2.75)

fourth will be (4.125, -2.6)

and fifth is (3.75,-1.25)

The option C is not correct i.e not included in line segment.

The option B will be the coordinates belonging in the box.

5 0

2 years ago

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