All categories

3 years ago

Which is true of the triangle below?

Mathematics

1 answer:

azamat3 years ago

4 0

Answer:

The correct option is;

D. The given measures create two triangles because bsinA < a < b.

Step-by-step explanation:

Here we have the law of sines given by

$\frac{sinA}{a} = \frac{sin B}{b} = \frac{sin C}{c}$

Let A = 50°

a = 14 units

b = 16 units

Since the b·sinA = 16··sin50 = 12.3 < 14 < a < b

Therefore either B < A or B < A are two possible triangles formed by the sides and the subtended angle to the short side

The short side can meet the base (the third side with no length dimension) at two points, forming two different triangles.

You might be interested in

When you subtract 22 from a number and the result is doubled, the answer is 6 more than the original number. What is the number?

Karolina [17]

You have to write two equation:
'substract 22 from a number'
$X-22=Y$
and:
'the result is doubled, the answer is 6 more than the original number'
$2*Y=X+6$

then you change 'Y' in 2nd equation for left side of 1st equation:
$2*(X-22)=X+6$
count it and you get:
$2X-44=X+6$
This means that X=50
The original number is 50.

6 0

3 years ago

3ax-n/5=-4 solve for x

ollegr [7]

The solution for x in the equation 3ax - n/5 = -4 is x = -4/3a + n/15a.

<h3>What is the solution for x in the given equation?</h3>

3ax - n/5 = -4

To solve for x, isolate the term that contains x.

3ax - n/5 = -4

3ax = -4 + n/5

Divide each term by the coefficient of x and simplify

3ax/3a = -4/3a + (n/5)/3a

x = -4/3a + (n/5)/3a

multiply (n/5) by the reciprocal of 3a

x = -4/3a + (n/5) × 1/3a

x = -4/3a + n/15a

Therefore, the solution for x in the equation 3ax - n/5 = -4 is x = -4/3a + n/15a.

Learn more about equations here: brainly.com/question/14686792

#SPJ1

4 0

2 years ago

Find the perimeter of the polygon with the vertices X(−1, 3), Y(3, 0), and Z(−1,−2). Round your answer to the nearest hundredth

antoniya [11.8K]

Answer:

The perimeter of the polygon is $P=14.47\ units$

Step-by-step explanation:

we know that

The perimeter is the sum of the length sides of the polygon

In this problem

P=XY+YZ+XZ

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance XY

we have

X(−1, 3), Y(3, 0)

substitute

$d=\sqrt{(0-3)^{2}+(3+1)^{2}}$

$d=\sqrt{25}$

$dXY=5\ units$

step 2

Find the distance YZ

we have

Y(3, 0), Z(−1,−2)

substitute

$d=\sqrt{(-2-0)^{2}+(-1-3)^{2}}$

$d=\sqrt{20}$

$dYZ=4.47\ units$

step 3

Find the distance XZ

we have

X(−1, 3), Z(−1,−2)

substitute

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

$d=\sqrt{25}$

$dXZ=5\ units$

step 4

Find the perimeter

P=XY+YZ+XZ

$P=5+4.47+5=14.47\ units$

5 0

3 years ago

Evaluate 7C2. Explain how you got your answer.

Leviafan [203]

So, to evaluate a combination, there's a formula we use.

I don't remember the formula from the top of my head, lol, but this is how you solve them.

7 c 2

When doing combinations and permutations each number is always in a factorial. We always start with the number on the left.

7! That's the total amount. The number on the left divides into that.

7! / 2!

We're not done yet. Here's the tricky part. We also always divide the number on the left, in this case 7!, with the positive difference of both numbers given to us.

7 - 2 = 5

So, we have 7! / 5! / 2! = 21.

Hope that helped!

Let's work another one.
5 c 3

We have 5! / 3! ,but we need to also divide 5! by the positive difference of 5 and 3. We get 2.

So, 5! / 3! / 2! = 10.

If you have any questions then leave a comment. Good luck!

5 0

4 years ago

What's 0.64 divided by 4 using standard algorithm

REY [17]

<span>https://www.engageny.org/file/.../math-g5-m1-topic-f-lesson-14.docx?...<span /></span>

8 0

3 years ago