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3 years ago

Tanx cscx= 1/f(x)simplify and write the trigonometric expression in terms of sine and cosine

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

5 0

Answer:

f(x) = cos(x)

Step-by-step explanation:

tanx cscx = (sinx/cosx) * (1/sinx) = 1/cosx

1/f(x) = 1/cosx

f(x) = cos(x)

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. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 17m, diagonal QS

trapecia [35]

Answer:

495 meter²

Step-by-step explanation:

In the given kite QRST,

PQ = PS = 15 meter

QR = 17 meter

We have to find the area of the kite.

Since kite is in the form of a rhombus.

and rhombus is = $\frac{1}{2}$ (Diagonal QS) × (Diagonal RT)

In Δ QRP,

17² = 15² + RP²

$\sqrt{17^{2}-15^{2}} = RP$

$RP=\sqrt{289-225}$

= √64 = 8 meters.

So RT = RP + PT = 8 + 25 = 33 meter.

Now area of kite = $\frac{1}{2}$ (30) (33) = 495 meter²

6 0

3 years ago

Find the average value of the function on the given interval.<br> f(x)=ex/7; [0,7]

Anastaziya [24]

Answer:

$f_{avg}=e-1$

Step-by-step explanation:

We are given that a function

$f(x)=e^{\frac{x}{7}}$

We have to find the average value of function on the given interval [0,7]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{7-0}\int_{0}^{7}e^{\frac{x}{7}} dx$

$f_{avg}=\frac{1}{7}[e^{\frac{x}{7}}\times 7)]^{7}_{0}$

By using the formula

$\int e^{ax}=\frac{e^{ax}}{a}$

$f_{avg}=(e-e^0)=e-1$

Because $e^0=1$

$f_{avg}=e-1$

Hence, the average value of function on interval [0,7]

$f_{avg}=e-1$

8 0

3 years ago

two warehouse employees need to move microwave ovens and television that weigh 45 pounds and 85 pounds, respectively, using a fr

Zinaida [17]

The maximum number of microwave ovens the two employees can take on the elevator is 7.

<h3>How to find the maximum number of microwave ovens the two employees can take on the elevator?</h3>

To solve the question, we have to find the simple equation showing the relationship between all the weights an the maximum weight the elevator can carry

Let

x = number of microwave ovens

Since the micro wave weighs 45 pounds, the total weight of microwave ovens is W = 45x.

Also, there are 20 televisions on the elevator. If each television weighs 85 pounds, the total weight of televisions is W' = 20 × 85 = 1700 pounds

Also, the weight of the equipment and the two employees is W" = 400 pounds.

Since the maximum weight on the elevator is 2400 pounds, we have that the required simple equation is

W + W' + W" = 2400

45x + 1700 + 400 = 2400

45x + 2100 = 2400

45x = 2400 - 2100

45x = 300

x = 300/45

x = 6.67

x ≅ 7

So, the maximum number of microwave ovens the two employees can take on the elevator is 7.

Learn more about simple equation here:

brainly.com/question/26184005

#SPJ1

7 0

1 year ago

What is the pattern in the 3's multiplication table

meriva

In 3's multiplication table every next number is addition of 3 to its previous number.

The 3' s multiplication table is,

3, 3+3=6, 6+3=9, 9+3=12, 12+3=15, 15+3=18,.... so on.

7 0

1 year ago

GUYS!!! PLEASE HELP MEEEE!!!!!1 I'LL MARK BRAINLYIST!!!!!!!!!!!! OR HOW EVER YOU SPELL IT!!!!!!!!!!!!! 1. Is C 2. In the graph o

lys-0071 [83]

I know that 2 is B.
3 is C
4 is D...?
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8 0

3 years ago

Read 2 more answers

Tanx cscx= 1/f(x)simplify and write the trigonometric expression in terms of sine and cosine​

Tanx cscx= 1/f(x)simplify and write the trigonometric expression in terms of sine and cosine