Answer:
Area = 48.6 in²

Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between the two sides)

This rule is illustrated in the attached image.

Now, we have:
first side = 13 in
second side = 7.5 in
The angle included between the two sides = 94 degrees

The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.

Area of triangle = 0.5 * 13 * 7.5 * sin(94)
Area of triangle = 48.63 which is approximately 48.6 in²

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Please help me!!!! You only have to answer number 1!!!

mrs_skeptik [129]

Given : A social media website has currently = 1,000 members.

In each month number of members gets triple.

To find: Equation that represents number of members m belongs to site.

Solution: Because we are given, each month the number of members gets triple, that means each month we can multiply by 3 to the number of members of previous month.

For first month, we would multiply 1,000 by 3.

For second month, we would multiply 1,000 by 3 *3.

For second month, we would multiply 1,000 by 3*3*3.

Each month one factor of 3 is being increasing.

We could write those 3's as exponents of 3.

Like $1000*3 = 1000*3^1$

$1000 * 3^2.$

$1000 * 3^3.$

As many months as many 3's are there.

So, the exponent of 3 is represnts the number of months.

Let us take a variable for number of month by n.

So, we could setup an equation for number of members m belongs to site on a particular month n as

$m= 1000 (3)^n$

This is our final equation.

7 0

3 years ago

Cards are dealt, one at a time, from a standard 52-card deck. a if the first 2 cards are both spades, what is the probability th

ratelena [41]

So we already drew two cards and both of them are spades. So that means there are 50 cards and 11 spades left.

Then third card being spades would be 11 / 50

Now there are 10 spades and 49 cards left.
So the probability for fourth card would be 10 / 49

Fifth card would be 9 / 48.

So the probability of next three cards being spades would be
$\dfrac{11}{50}\cdot\dfrac{10}{49}\cdot\dfrac9{48}=\dfrac{33}{3920}\approx\boxed{0.00842}$

Hope this helps.

3 0

4 years ago