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3 years ago

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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Answer:

3 $\sqrt{13}$

Step-by-step explanation:

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3 years ago

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

kow [346]

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):

Elza [17]

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:

$m = \frac{f(0) - f(1)}{0 - 1}$

$m = \frac{f(0) - f(1)}{- 1}$

Substitute values for f(0) and f(1)

$m = \frac{-1 - 7}{- 1}$

$m = \frac{-8}{- 1}$

$m = 8$

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

$g(x) = mx + b$

$m \to slope$

So:

$g(x) = 3x -2$

$m = 3$

$m_{f(x)} > m_{g(x)}$

Solving (b): Compare the y intercept

y intercept is when $x = 0$

From the table of f(x)

$f(0) = -1$

From the equation of g(x)

$g(x) = 3x -2$

$g(0) = 3*0-2$

$g(0) =-2$

6 0

3 years ago