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chandrika chinnadurai

chandrika c.

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Solve each problem. See Examples 5 and 6. A plane is headed due south with an air speed of 192 mph. A wind from a direction of $78.0^{\circ}$ is blowing at 23.0 mph. Find the ground speed and resulting bearing of the plane.

Solve each problem. See Examples 5 and 6. A plane is headed due south with an air speed of 192 mph. A wind from a direction of $78.0^{\circ}$ is blowing at 23.0 mph. Find the ground speed and resulting bearing of the plane.

Precalculus

Applications of Trigonometry

Geometrically Defined Vectors and…
Solve each problem. See Examples 5 and 6. A plane is headed due south with an air speed of 192 mph. A wind from a direction of $78.0^{\circ}$ is blowing at 23.0 mph. Find the ground speed and resulting bearing of the plane.

Solve each problem. See Examples 5 and 6. A plane is headed due south with an air speed of 192 mph. A wind from a direction of $78.0^{\circ}$ is blowing at 23.0 mph. Find the ground speed and resulting bearing of the plane.

Precalculus

Applications of Trigonometry

Geometrically Defined Vectors and…
Solve each problem. See Examples 5 and 6. An airplane is headed on a bearing of $174^{\circ}$ at an airspeed of $240 \mathrm{km}$ per hr. A 30 -km-per-hr wind is blowing from a direction of $245^{\circ} .$ Find the ground speed and resulting bearing of the plane.

Solve each problem. See Examples 5 and 6. An airplane is headed on a bearing of $174^{\circ}$ at an airspeed of $240 \mathrm{km}$ per hr. A 30 -km-per-hr wind is blowing from a direction of $245^{\circ} .$ Find the ground speed and resulting bearing of the plane.

Precalculus

Applications of Trigonometry

Geometrically Defined Vectors and…
Solve. There are 80 questions on a college entrance examination. Two points are awarded for each correct answer, and one-half point is deducted for each incorrect answer. How many questions does Tami need to answer correctly in order to score at least 100 on the test? Assume that Tami answers every question.

Solve. There are 80 questions on a college entrance examination. Two points are awarded for each correct answer, and one-half point is deducted for each incorrect answer. How many questions does Tami need to answer correctly in order to score at least 100 on the test? Assume that Tami answers every question.

Intermediate Algebra : Concepts and Applications

Inequalities and Problem Solving

Inequalities and Applications

Questions asked

INSTANT ANSWER

9 Find the exact value of \( w \) in each diagram. a b

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INSTANT ANSWER

8 Calculate the volume of each solid to the nearest \( \mathrm{cm}^{3} \). a d b e c f

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INSTANT ANSWER

In the diagram, the shop at \( S \) is 20 kilometres across the bay from the post office at \( P \). The distance from the shop to the lighthous at \( L \) is 22 kilometres and \( \angle S P L \) is \( 60^{\circ} \). Let the distance \( P L \) be \( x \) kilometres. i. Use the cosine rule to show that \( x^{2}-20 x-84=0 \). (1 mark) ii. Hence, find the distance from the post office to the lighthouse. Give your answer correct to the nearest kilometre. (2 mark)

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INSTANT ANSWER

Sketch the CDF of the following PDF:

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(10) \( \$ 7000 \) is invested at \( 6 \% \) P.a compounded Whole years will it take to double? A) 11 B) 12 C) 14 D) 15 (11) calculate the principal that will result in a after 7 years at \( 6.2 \% \) P.a interest.

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The plane in \( \mathbb{R}^{3} \) with Cartesian equation \[ -x_{1}-x_{3}=-1 \] can be expressed in parametric form \[ \mathbf{x}=\mathbf{a}+\lambda_{1} \mathbf{v}_{1}+\lambda_{2} \mathbf{v}_{2} \] where \( \mathbf{a}, \mathbf{v}_{1} \) and \( \mathbf{v}_{2} \) are vectors im \( \mathbb{R}^{3} \) and \( \lambda_{1} \) and \( \lambda_{2} \) are real parameters. You are given that \[ \mathbf{v}_{1}=\left(\begin{array}{l} 0 \\ 1 \\ 0 \end{array}\right) \] Find suitable vectors \( \mathbf{a} \) and \( \mathbf{v}_{2} \) and enter them in the boxes below using Matlab syntax. For example, for the vector \( \left(\begin{array}{l}1 \\ 2 \\ 3\end{array}\right) \) enter \( [1 ; 2 ; 3] \). \[ \mathbf{a}= \] \( \square \) \[ \mathbf{v}_{2}= \] \( \square \)

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AWAITING AN EDUCATOR

vector

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INSTANT ANSWER

1 The sector graph shows the electricity usage for a household in the last 30 days. a What fraction of energy use is for the refrigerator? b What could be included in the 'Other' sector? c If the household bill for 90 days is \( \$ 764.35 \), how much did 'Home office' cost? d If dishwasher use costs \( \$ 0.67 \) per day, what would be the total electricity bill for 90 days? e Calculate, to the nearest degree, the angle size of the 'Kids bedrooms' sector.

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1 Cathy drove at an average speed of \( 57 \mathrm{~km} / \mathrm{h} \). At this rate, find how long in hours and minutes it will take her to drive: a \( \quad 507 \mathrm{~km} \) b 160 km c \( \quad 440 \mathrm{~km} \).

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INSTANT ANSWER

Question 14 Let \( x=\sqrt{10}+3 \). (a) Find the exact value of \( x+\frac{1}{x} \). (b) Hence, find the exact value of \( x^{2}+\frac{1}{x^{2}} \). (c) Hence, find the exact value of \( x^{4}+\frac{1}{x^{4}} \). (d) Hence, find the exact value of \( x^{8}+\frac{1}{x^{8}} \). (e) Explain the pattern you observe.

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