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3 years ago

How many triangles are there that satisfy the conditions a = 3, b = 4, (alpha sign)= 76 degrees.

1 answer:

3 0

By Sine Rule

a/sinA = b/sinB = c/sinC

Given a = 3, b = 4, A = 76°

43sin76° = 4/sinB

==> sinB = 1.195380945

But sine function is only defined in the range [-1, 1], so there's no solution.

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Put in order 2.71, 2. 3/4, square of 5, 5 over 2

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Answer:

From the lowest to the highest number:

√5

5/2

2.71

2 3/4

Step-by-step explanation:

Let's put in order from the lowest to the highest number:

√5 = 2.236

5/2 = 2.5

2.71

2 3/4 = 2.75

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3 years ago

Square ABCD has an area of 1600. E is the midpoint of AC and Fis the midpoint of AB.

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3 years ago

After 30 s, a runner is sprinting at 3 m/s. But, 10 s later, the runner is sprinting at 3.8 m/s. What is the runner's accelerati

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4 years ago

Read 2 more answers

Mr.Hamilton gave out 15 coupons per hour at the appliance show. After 2 days at the show, working 14 hours total, how many coupo

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4 years ago

During a road trip Tony , Tony drove one third the distance that Lana drove. Mark drives 15 more than Lana drove .The total dist

ale4655 [162]

Answer:

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles

Step-by-step explanation:

Given as :

The total distance cover by Lana , Tony , Mark = 484 miles

Let The distance drove by Lana = L miles

The distance drove by Tony = T

The distance cover by Mark = M

So , L + T + M = 484 miles

Now, The distance of Tony = $\frac{1}{3}$ of Lana distance

Or, T = $\frac{1}{3}$ × L

And The distance of Mark = 15 + The distance of Lana

Or, M = 15 + L

Now.

L + $\frac{1}{3}$ × L + 15 + L = 484

Or, 2 L + $\frac{L}{3}$ = 484 - 15

Or, 2 L + $\frac{L}{3}$ = 469

Or, $\frac{7 L}{3}$ = 469

Or, 7 L = 469 × 3

∴ L = $\frac{1407}{7}$

I.e L = 201

The distance drive by Lana = 201 miles

The distance drive by Mark = 15 + L =15 + 201 = 216 miles

The distance drive by Tony = $\frac{1}{3}$ × 201 = 67 miles

Hence The distance drive by each person is

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles Answer

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3 years ago