All categories

3 years ago

Find the value of x. Then find the m∠S and m∠T

Mathematics

1 answer:

Sophie [7]3 years ago

4 0

Answer:

Step-by-step explanation:

<h2>Given, y = b m x m</h2><h2>y' = -b m x (m+1)</h2><h2>At any point (x1,y1)</h2><h2 /><h2>Equation of tangent is given by </h2><h2>y - y1 </h2><h2>------- = -b m x1 -(m+1)</h2><h2>x - x1</h2><h2>Y intercept = - m</h2><h2>X intercept = (m-1) × 1</h2><h2> m </h2><h2>Area bounced = 1 (m - 1)×1</h2><h2> ---- ---------------------- x m</h2><h2> 2 m</h2><h2>For area to be constant, m = 1</h2>

You might be interested in

fundraiser the least popular item was chips which they sold 21 bags of.The chips cost a total of $48.10 were the chips profitabl

spin [16.1K]

Answer:

yes,the chips were profitable.

Step-by-step explanation:

3 0

2 years ago

Help me out here please. find the area

Vinvika [58]

Answer: 56

Step-by-step explanation: first, you have to find the area of one triangle. The formula is A=bh1/2 . When you do that, you get 14. 14 is only one triangle, so multiply it by 4 and you get your answer, 56.

6 0

2 years ago

Read 2 more answers

Find the volume of liquid

stepladder [879]

Answer:

maths is a complete mess

7 0

2 years ago

Una parte de 25 000 dólares se invierte al 10% de interés, otra parte al 12 % y el resto al 16%. El ingreso anual total de las t

Drupady [299]

Answer:

$5000 at 10%, $10000 at 12% and 10000 at 16%

Step-by-step explanation:

<em>One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?</em>

==================

Let the parts be x, y and z

<u>As per given we get below system of equations:</u>

x + y + z = 25000
0.1x + 0.12y + 0.16z = 3200
0.1x + 0.2y = 0.16z

<u>Substitute 0.1x + 0.2y in the second equation:</u>

0.16z + 0.16z = 3200
0.32z = 3200
z = 3200/0.32
z = 10000

x + y + 10000 = 25000 ⇒ x + y = 15000

and

0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600

<u>Multiply the second equation and then subtract the first one:</u>

10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000
x + 1.2y - (x + y) = 16000 - 15000
0.2y = 1000
y = 10000

Then

x = 15000 - 10000 = 5000

<u>So the parts are:</u>

$5000 at 10%, $10000 at 12% and 10000 at 16%

4 0

2 years ago

I need help with this please. :) thanks

IgorC [24]

Answer:

d. V = π(x^3 + 90x^2 + 2,400x + 20,000)

Step-by-step explanation:

volume of cylinder = πr^2h

We have r = x + 20; h = x + 50

V = π(x + 20)^2(x + 50)

V = π(x^2 + 40x + 400)(x + 50)

V = π(x^3 + 50x^2 + 40x^2 + 2000x + 400x + 20,000)

V = π(x^3 + 90x^2 + 2,400x + 20,000)

8 0

2 years ago