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Ber [7]
3 years ago
13

GEOMETRY/INTRO TO TRIG QUESTION! Please show your work and explain.

Mathematics
2 answers:
postnew [5]3 years ago
4 0

Answer:

The answer to your question is AB = 6.9

Step-by-step explanation:

Data

∠A = 70°

∠C = 62°

BC = 7.3

AB = x

Process

1.- To solve this problem use the law of sines

                 AB / sin C = BC / sin A

Substitution

                 AB / sin 62 =  7.3 /  sin 70

Solve for AB

                AB = 7.3(sin 62) / sin 70

                AB = 7.3(0.883) / 0.940

                AB = 7.3 (0.939)

Result

                 AB = 6.8                

                     

Sloan [31]3 years ago
4 0

Answer:

Step-by-step explanation:

Since we are given 2 angles and 1 side, to determine AB, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle.

Therefore

AB/Sin62 = 7.3/Sin70

Cross multiplying, it becomes

AB × Sin 70 = 7.3 × Sin 62

AB × 0.9397 = 14 × 0.8829

0.9397AB = 12.3606

Dividing the left hand side and the right hand side of the equation by 0.9397, it becomes

0.9397AB/0.9397 = 12.3606/0.9397

AB = 13.2 to the nearest tenth

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Step-by-step explanation:

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d = \sqrt{(-3-(-9))^2+(-1-8)^2}

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A cup of raw Arborio rice weighs 7 ounces. One cup will serve 1 people. Arborio rice is purchased in 2-pound boxes for $1.99. Ho
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The rice will cost $17.6  for serving 40 people

<h3><u>Solution:</u></h3>

We need to determine the cost of serving 40 people with rice

Arborio rice is purchased in 2-pound boxes for $1.99

The price of 1 pound box will be \frac{\$ 1.99}{2}=\$ 0.995

1 Pound (lb) is equal to 16 ounces (oz)

Therefore, the price of 16 ounces is  $0.995

A cup of raw Arborio rice weighs 7 ounces and it serve 1 people

\begin{array}{l}{\text { The cost per person is } \frac{\$ 0.995}{16} \times 7=\$ 0.44} \\\\ {\text { The cost for serving } 40 \text { people }=\$ 0.44 \times 40=\$ 17.6}\end{array}

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3 years ago
The table below represents a linear function f(x) and the equation represents a function g(x):
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Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}

g(x) = 3x - 2

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}

This gives:

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The slope of g(x) can be gotten using the following comparison

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m \to slope

So:

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Solving (b): Compare the y intercept

y intercept is when x = 0

From the table of f(x)

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g(0) =-2

<em></em>f(0) > g(0)<em></em>

6 0
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