All categories

2 years ago

Determine the number of possible triangles, ABC, that can be formed given A = 30°, a = 4, and b = 10.

Mathematics

2 answers:

hichkok12 [17]2 years ago

8 0

Answer: The answer is zero.

Step-by-step explanation:

sweet [91]2 years ago

4 0

Answer:

None

Step-by-step explanation:

We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.

According to the 'Law of Sines- Ambiguous Case', we have,

If a < b×sinA, then no triangle is possible.

If a = b×sinA, only one triangle is possible

If a > b×sinA, two triangles are possible.

So, we have,

b×sinA = 10 × sin30 = 10 × 0.5 = 5.

Now, as

4 = a < bsinA = 5.

We get, according to the rule, no triangle is possible.

You might be interested in

Assume that the total revenue received from the sale of x items is given by, R(x)equals34 ln (4 x plus 5 ), while the total c

katen-ka-za [31]

Answer:

63 units

Step-by-step explanation:

The profit function P(x) is given by the revenue function minus the cost function:

$P(x) = R(x) - C(x)\\P(x) = 34ln(x+5)-\frac{x}{2}$

The number of units sold 'x' for which the derivate of the profit function is zero, is the number of units that maximizes profit:

$P(x) = 34ln(x+5)-\frac{x}{2}\\P'(x) =0= \frac{34}{x+5}-\frac{1}{2}\\x+5=68\\x=63\ units$

The number of units that should be manufactured so that profit is maximum is 63 units.

5 0

2 years ago

Dividethe product of 45 and25 by the sum of 53 and37

Serhud [2]

Answer:

12.5

Step-by-step explanation:

First you times 45 and 25 together, since product means multilpication. 45*25= 1125

Then you add 53 and 73, which is 90. Then you divide, which equals to the sum of 12.5. Hope this helps!

5 0

2 years ago

Fantastic Middle School is building a park, in the shape of a square, with an area of 256 square feet. How much fence do they ne

frez [133]

A = a^2.....where " a " is the size of 1 side
A = 256

256 = a^2...take sqrt of both sides, eliminating the ^2
sqrt 256 = a
16 = a

so each side is 16 ft....now we find the perimeter
P = 4a....where " a " is the size of each side
P = 4(16)
P = 64.......so they will need 64 ft of fencing <===

6 0

2 years ago

Find, as a ratio, the scale of a map given as 2cm to 1km. If two towns are 23.4cm apart on the map, what is the actual distance

Rina8888 [55]

Answer:

The actual distance is 11.7km

Step-by-step explanation:

2cm = 1km

1cm = 0.5km

23.4cm = ?

23.4 × 0.5 = 11.7km

(Correct me if i am wrong)

8 0

2 years ago

What is 5/50 as a percent

Scrat [10]

5/50 = 10/100 = 10%

10% would be the answer.

5 0

2 years ago

Read 2 more answers