All categories

2 years ago

Pls answer question thx

Mathematics

1 answer:

m_a_m_a [10]2 years ago

8 0

Answer:

x = 36.9°

Step-by-step explanation:

We need to find out what sides of the triangle we have, so we can find the formula for the missing angle, x.

We have been given the opposite and hypotenuse so we are using sine

SOH, CAH, TOA

sin (x) = opp ÷ hyp

Substitute in the values

sin (x) = 9 ÷ 15

Simplify

sin (x) = 0.6

Rearrange to find x

x = sin^-1(0.6) - Type this into your calculator

<h3>sin^-1 is the inverse or opposite of sin</h3>

x = 36.8698... ≈ 36.9°

You might be interested in

Find the perimeter of this semi-circle with diameter, d = 39cm. Give your answer rounded to 1 DP.

deff fn [24]

Answer:

p=1/2*3.14+d

1/2*3.14*19.5=30.615

=30.615+39

=69.615

=69.6

Step-by-step explanation:

since it's half a circle we take the formula of acricle to be half

3 0

1 year ago

Elsa tries to solve the following equation, and determines there is no solution. Is she correct? Explain.

Vlad [161]

Elsa's answer is incorrect since there is a solution of the given equation. In the given logarithmic problem, we need to simplify the problem by transposing log2(3x+5) in the opposite side. The equation will now be log2x-log2(3x+5)=4. Using properties of logarithm, we further simplify the problem into a new form log (2x/6x+10)=4. Then transform the equation into base form 10^4=(2x/6x+10) and proceed in solving for x value which is equal to 1.667.

3 0

3 years ago

Read 2 more answers

Round 0.1278 to the nearest thousandth

eduard

≈0.128 is the correct answer

5 0

3 years ago

Let U1, ..., Un be i.i.d. Unif(0, 1), and X = max(U1, ..., Un). What is the PDF of X? What is EX? Hint: Find the CDF of X first,

Kryger [21]

Answer:

$E(X)= n \int_{0}^1 x^n dx = n [\frac{1}{n+1}- \frac{0}{n+1}]=\frac{n}{n+1}$

Step-by-step explanation:

A uniform distribution, "sometimes also known as a rectangular distribution, is a distribution that has constant probability".

We need to take in count that our random variable just take values between 0 and 1 since is uniform distribution (0,1). The maximum of the finite set of elements in (0,1) needs to be present in (0,1).

If we select a value $x \in (0,1)$ we want this:

$max(U_1, ....,U_n) \leq x$

And we can express this like that:

$u_i \leq x$ for each possible i

We assume that the random variable $u_i$ are independent and $P)U_i \leq x) =x$ from the definition of an uniform random variable between 0 and 1. So we can find the cumulative distribution like this:

$P(X \leq x) = P(U_1 \leq 1, ...., U_n \leq x) \prod P(U_i \leq x) =\prod x = x^n$

And then cumulative distribution would be expressed like this:

$0, x \leq 0$

$x^n, x \in (0,1)$

$1, x \geq 1$

For each value $x\in (0,1)$ we can find the dendity function like this:

$f_X (x) = \frac{d}{dx} F_X (x) = nx^{n-1}$

So then we have the pdf defined, and given by:

$f_X (x) = n x^{n-1} , x \in (0,1)$ and 0 for other case

And now we can find the expected value for the random variable X like this:

$E(X) =\int_{0}^1 s f_X (x) dx = \int_{0}^1 x n x^{n-1}$

$E(X)= n \int_{0}^1 x^n dx = n [\frac{1}{n+1}- \frac{0}{n+1}]=\frac{n}{n+1}$

6 0

3 years ago

Find the area of the triangle (but identify which formula to use). Please help!

GalinKa [24]

A.) A= (1/2)absinC
b.) sinA/a, sinB/b, sinC/c
sin100/42, sin25/b, sinC/c
use these two fractions.
sin100/42= sin25/b
cross multiply next
b×sin100= 42×sin25
then divide on both sides by sin100
b=18
c.)measurementofA+measurementofB+measurementofC=180
100+25+C=180
125+C=180
-125 -125
The measurement of angle C is 55 degrees.
d.)A=(1/2)42×18×sin55
= 21×18×sin55
A =309.6 units squared

7 0

3 years ago