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sdas [7]
3 years ago
14

Find the missing side or angle. Round to the nearest tenth.

Mathematics
2 answers:
olga_2 [115]3 years ago
7 0

Answer:

<h2>a = 4.1</h2>

Step-by-step explanation:

To find the missing side in the question, we use the cosine rule

That's

Since we are finding a we use the formula

<h3>a² = b² + c² - 2(b)(c) cos A</h3>

From the question

b = 2

c = 4

A = 78°

Substitute the values into the above formula

We have

a² = 2² + 4² - 2(2)(4) cos 78

a² = 4 + 16 - 16 cos 78

a² = 20 - 16cos 78

a² = 16.67341

Find the square root of both sides

a = 4.0833

We have the final answer as

<h3>a = 4.1 to the nearest tenth</h3>

Hope this helps you

statuscvo [17]3 years ago
3 0
Cosine law
a^2 = b^2 + c^2 - 2(b)(c)cosA
a^2 = 2^2 + 4^2 - 2(2)(4)cos78
a = 4.08
a = 4.1
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zmey [24]

The equation that the clerk can use to calculate their total bill is t + g.

<h3>How to illustrate the equation?</h3>

From the information given, Yasuda family bought a toy that cost t dollars and a game that cost g dollars.

The equation to calculate their total bills will be:

= t + g

where,

t = cost of toy

g = cost of game.

In this case, the equation that the clerk can use to calculate their total bill is t + g .

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7 0
2 years ago
Jessie recently drove to visit her parents who live 240240 miles away. On her way there her average speed was 2525 miles per hou
dusya [7]

Answer:

The speed/rate to her parent's house is x = 75 mph

The speed/rate from her parent's house is y = 50 mph

Step-by-step explanation:

Given;

Distance to her parent's house = 240 miles

Total distance travelled (to and fro) = 240×2 = 480 miles

Total time taken t = 8 hours

On her way there her average speed was 25 miles per hour faster than on her way home (she ran into some bad weather)

Let x and y represent her speed to and from her parent's house respectively.

x = y+25 ......1

The time taken to her parent's house is;

time = distance/velocity

t1 = 240/x = 240/(y+25)

The time taken from her parent's house is;

time = distance/velocity

t2 = 240/y

Total time taken t = t1 +t2

t = 240/(y+25) + 240/y = 8

Solving for y ;

(240y + 240(y+25))/(y^2 +25y) = 8

Cross multiply;

240y + 240y+6000 = 8y^2 + 200y

480y +6000 = 8y^2 + 200y

8y^2 + 200y -480y -6000 = 0

8y^2 - 280y - 6000 = 0

Divide through by 8;

y^2 - 35y - 750 = 0

Solving the quadratic equation;

y = 50

or

y = -15

Velocity cannot be negative, so y = 50mph

From equation 1;

x = y+25

Substituting y =50

x = 50 + 25

x = 75 mph

The speed/rate to her parent's house is x = 75 mph

The speed/rate from her parent's house is y = 50 mph

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

We can put both equations into slope-intercept form to make comparison easier.

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What is the value of the expression, written in standard form?<br>(6.6x10^-2)<br>(33x 10^-4)​
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Answer:

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Step-by-step explanation:

Steps

6.6 x 10^{-2}/3.3 x 10-4

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10^{-2} x 6.6 = 660/3.3

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2 years ago
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