All categories

3 years ago

Find the area of QRS. Round the answer to the nearest tenth.

Mathematics

1 answer:

Tema [17]3 years ago

6 0

Answer:

Option C

Step-by-step explanation:

Area of a triangle given with measures of 2 sides and angle between these sides will be,

Area of a triangle = $\frac{1}{2}\text{(a.b)sinC}$

Here, a and b are two sides of the triangle and C is the angle between these sides.

From the figure attached,

a = 6, b = 9 and m∠C = 110°

Substitute these values in the formula,

Area of ΔQRS = $\frac{1}{2}\text{(a.b)sinC}$

= $\frac{1}{2}{(9\times 6)\text{sin}(110^{\circ})}$

= 25.37

≈ 25.4 square units

Therefore, Option C will be the answer.

You might be interested in

Use the binomial theorem to write the binomial expansion of (x+3)4 but the 4 is Square

Vladimir [108]

(x+3)^4=(x+3)^2)^2=(x^2+6x+9)^2=x^4+36x^2+81+12x^3+108x

6 0

3 years ago

Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone

Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of each system working:

4 components, which means that $n = 4$

Each has a 30% probability of failing, so $p = 1 - 0.3 = 0.7$

For the system to work, all 4 components have to work. This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401$

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so $n = 7$

0.2401 probability of a system working.

We have to find P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615$

16.15% probability that exactly 3 of them would function

5 0

3 years ago

How much sides do a pectagan has

siniylev [52]

A pentagon has 5 sides.

Hope this helped :)

5 0

3 years ago

Read 2 more answers

I also need help with this

Dimas [21]

Answer:

7 strips

Step-by-step explanation:

One way we can solve this is through guess and check. Let's start with 4 strips. If Joe's grandma makes 4 strips, she will have 0.75*4 = 3.00 yards of fabric. That's a really low amount of fabric. Let's double that to 8, where Joe's grandma would need 0.75*8 = 6.00 yards of fabric. That's really close! Let's remove one strip. 0.75*7 = 5.25 yards of fabric. Perfect! Joe's grandma can cut exactly 7 strips

5 0

3 years ago

When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?

stiks02 [169]

Answer: