8. The amount of medication that should be administered to children is based on the ratio of the child's weight to that of an average adult. The average adult weight is 70 kg is often used. If an adult dose of a medication is 20 mg, how much should a 10.5-kg child take for his or her medication?

Q: etermine the value of sin, cot, and sec, if the terminal side lies along like y=-2/7x in QIV?

A: We have to find the value of sinθ , cotθ and secθ

Q: Which of the following is/are exact differential equations? a) xexydx+yexydy=0 b) (x+4x3siny)dx + ...

A: Since you have asked a question with multiple parts in a single request we would be answering only t...

Q: Complete the following equation. tan 20 - sec 0 = %3D tan 20- sec 0 = %3D

A:

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Q: (1) In the Find the Fourier Sine Half-range Expansion of Fig. 1 determine (1.1) az Ans: (1.2) Ans: (...

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Q: The sine of an obtuse angle is 0.53. Calculate the tangent of this angle to 4 decimal places.

A: Let the angle is ∅  

Q: Find the exact value using double angle identities. 7 and z <0 < - 13. Find sin20 if cose = - 2

A:

Q: Problem 4: Trina and Mazaheer are standing on the same side of a Red Maple tree. The angle of elevat...

A:

Q: 2. A right circular cylinder is inscribed in a right circular cone as shown below. Find the a) total...

A: Total surface area of right circular cone is  πrl + πr² πr(l + r) Here we have to find l is cross le...

Q: Determine the equation of the function with zeros at ± 1 and -2, and a y-intercept of -6. Then sketc...

A: Given:       Zeros ; ± 1 and -2      Ay-intercept : -6

Q: Use the given information to find (a) sin (s+t), (b) tan (s + t), and (c) the quadrant of s+t. 4 coS...

A: Given cos(s)=45 and sint=1213

Q: Find the half-range cosine and sine expansions for the following:

A:   Half range cosine series 

Q: graph y = cot x where π < x < 2π

A: We have to use properties of cot function to solve this problem

Q: Given points A(x = 2, y = 3, z = −1) and B(ρ = 4, ∅ = −50°, z = 2), Find the distance from: (a) A t...

A: Distance

Q: 4) Given a circle with a radius of 12cm. Find the length of an arc intercepted by a chord of length ...

A: Given that: Radius of circle, R=12 cm

Q: Conversion of Mils to Degrees, Grads and Radians Convert the following angles into their equivalent ...

A:

Q: A.) Find the rectangular coordinates for the point whose polar coordinates are given.  (4,pi/6) B....

A: Using x=rcosthetha and y=rsinthetha x2 + y2 = r2 and tanthetha =y/x

Q: Conversion of an Angle to Decimal Degrees Convert the following angles into their equivalent values ...

A: Given:- Convert the following angles into their equivalent values in decimal degrees.   1. 13°33'41....

Q: The current I, in amperes, flowing through an ac (alternating current) circuit at time t, in seconds...

A:

Q: The position of a weight on a spring is s(t) = -5 cos 4nt %3D inches after t seconds. Include units ...

A:

Q: using the half-angle identity. Support your answer with a calculator approximation. 8 Find the exact...

A: We have to find the value of sinπ8. We use the following half-angle trigonometric identity: 2sin2θ =...

Q: Conversion of Grads to Degrees, Mils and Radians Convert the following angles into their equivalent ...

A: Let's find. 

Q: 23.1 ft 19.9 ft/80.3° A

A: Here, from the given figure: So, to find ∠A, ∠B &amp; c

Q: What is the range of the secant function? all real numbers from -1 to 1, inclusive all real numbers...

A: Given : range of the secant function

Q: 8. A boat traveled horizontally from the "Pier" at 512 km. and made a turn travelling 426 km. If the...

A:

Q: 6. A regular pentagonal prism with base perimeter of 20 cm and height of 10 cm is made of wax. If it...

A: Given:   Perimeter = 20 cm     Height = 10 cm 

Q: Find all solutions to the equation. 2 cos 0 +/2 =0

A:

Q: 1) 4 – csc? 0 = 0 3) sec? e - 2 = 0 5) -3 = -3csc2 0 + 1 7) sec? 0 +1 = 2 9) 7sin? 0 + 2 = 5 + 3sin?...

A: Here ix the solution

Q: Fire towers A and B are located 10 miles apart. They use the direction of the other tower as 0°. Ran...

A: We will use Sine-Law to find the length of the Tower to fire.

Q: |V| =

A: Follow the procedure given below.

Q: Find the six trigonometric functions of t if t corresponds to the point (−0.737, 0.675) on the unit ...

A: Given query is to find 6 trigonometric functions for the point given.

Q: 2. Ten frontliners are going to get their meal. In how many ways can the 10 frontliners be arranged ...

A: (2) Ten front liners are going to get their meal. In how many ways can the 10 front liners be arrang...

Q: The area of the triangle below equals to 5 8

A:

Q: What is the measure of angle UPQ? What is the measure of angle UQP?

A: Given that:                  

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an a...

A: Let ∆ABC be any triangle,  Sine law :   a/sinA=b/sinB= c/sinC       ... 1. Where A, B and C are angl...

Q: A pulley rotates through 67° in one minute. How many rotations (to the nearest tenth of a rotation) ...

A: topic - angles 1 rotation= 360°

Q: find all solutions of the equation and expressthem in the form a+bi. (enter your answers as a comma-...

A:

Q: N Find the exact value of the expression given below. cos 12 5n cos 12 (Simplify your answer, includ...

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Q: csc- 3 %3D (Type 'sin', 'cos', 'tan', 'csc', 'sec', or 'cot'.)

A: To solve the given trigonometric problem. 

Q: Determine whether the statement below is true or false. sin (a + B) = sin a + sin ß +2 sin a sin ß %...

A:

Q: Complete the table below. Express your answers in terms of T. Item Diameter, d (cm) Radius, r (cm) A...

A: Let's find. 

Q: 10. Determine the exact area of the shaded region given that the circle has a diameter of 6 inches a...

A:

Q: y = - sin x+2

A: We have to find  amplitude, period, quater period, and phase shift.

Q: 12. What is the simplest form of sin tan"(G V10 A) 10 V10 C) 20 V10 B) 12 V10 D) 14

A: The given expression sintan-113

Q: Convert each degree measure to radians. Leave answers in terms of 1 1. 330°

A: Let the given angle be theta

Q: You are walking alone a straight level path toward a mountain. At one point the angle of elevation o...

A: Given:- You are walking alone a straight level path toward a mountain. At one point the angle of ele...

Q: The following problem involves directions in the form of bearing, which we defined in this section. ...

A:

Q: lim tan(x).

A: We have to find the left hand and right hand  limit of tanx when x tends to π/2 .  

Q: Get the sum of the two signals. V1 = a sin (120tt + b) V2 = c cos (120nt + d)

A: The given signals are  v1=16 sin120πt +23°, v2=18 cos120πt+12°.   The identities to be used are as f...

Q: )Which of the following trig formula would you use; SOH CAH TOA, Sine Law or Cosine Law for the foll...

A: