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kobusy [5.1K]
3 years ago
14

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...?
5 is (0,3) and (1, 2) i thiinnkkk?

8 0
3 years ago
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