Answer:
Step-by-step explanation:
answer is 2 because cosec^2 theta-cot^ theta is 1and when u multiply 1 and 2 answer is 2
Answer:
x = 4.4
Step-by-step explanation:
I'm going to assume you want to solve for x so here we go.
You need to work backwards for this equation, and whatever you do to the LHS, you do to the RHS.
First, you need to remove the minus 3, which means that on both sides, you add 3. Adding three on the LHS makes the -3 disappear, and adding 3 on the RHS makes the 19 go to a 22.
Your equation is now 5x=22.
Since 5x means 5 × x, to get rid of it, you need to divide 5x by 5. Doing it to the LHS will make the five disappear, and doing it to the RHS will make it go to 22 ÷ 5 which equals 4.4
Therefore, x = 4.4
Answer:
$500 and $2000
Step-by-step explanation:
Let x represent the total investment = $2500
also, this total is split into two different funds
Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%
So,
a + b = x
a + b = 2500 ......eq 1
Profit from each fund gives;
0.03 a + 0.05b = 115 ....eq 2
Solve simultaneously using substitution method
From eq 1;
b = 2500 - a
Slot in this value in eq 2
0.03a + 0.05 (2500 - a) = 115
expand
0.03a + 125 - 0.05a = 115
collect like terms
0.03a - 0.05a = 115 - 125
-0.02a = -10
Divide both sides by -0.02
a = $500
Put this value of a in eq 1
500 + b = 2500
Subtract 500 from both sides
b = 2500 - 500
b = $2000
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
<h3>How to determine the angles of a triangle inscribed in a circle</h3>
According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.
Since AT and BT represent the radii of the circle, then the triangle ABT is an <em>isosceles</em> triangle. By geometry we know that the sum of <em>internal</em> angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.
The angles ATB and BTC are <em>supplmentary</em> and therefore the measure of the latter is 128°. The triangle BTC is also an <em>isosceles</em> triangle and the measure of angles TBC and TCB is 26°.
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/2773823
Answer:
Subtract 11 from both sides
Step-by-step explanation:
