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allochka39001 [22]
4 years ago
11

I need help please make sure this is correct

Mathematics
2 answers:
In-s [12.5K]4 years ago
5 0

Answer:

the answer is a

Step-by-step explanation:

congruent means that the shapes are the same size and shape which means that a is the answer

german4 years ago
3 0

Answer:a

Step-by-step explanation:

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Given: m∠AKB = 25°
dexar [7]

Answer:

V = 255.98189 pi

SA = 172.64114π

Step-by-step explanation:

The first thing to do is find the radius.

the measure of angle AKO = 1/2 the measure of angle AKB

m< AKO = 12.5 degrees

Now use trig to find AO (aka the radius)

tan(12.5) = AO/25

AO = 25* tan(12.5)

<em>I'm leaving it like this to get a more accurate number</em>

Now to find the volume

the volume of a cone is pir^2h/3

plugging everything in we get:

pi(25*tan(12.5))^2 * 25/3

which is about <u>255.98189 pi</u>

Now for surface area

(this is the moment I realize symbols exist)

SA = πr(r+√h²+r²)

plugging everything in we have

π(25tan(12.5))((25tan(12.5)+√625+(25tan(12.5))^2)

<em>I know it looks like a lot but that's mainly because I left the radius as 25tan(12.5)</em>

The Surface Area is about <u>172.64114π</u>

8 0
3 years ago
Given g(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%5E2%2B2x%7D" id="TexFormula1" title="\frac{3}{x^2+2x}" alt="\f
sweet [91]

We know that g(x) = \frac{3}{x^2+2x}

We have to find g^-1(x)  or inverse of g(x)

Inverse of g(x) can be determined by equating g(x) to y, and determining the value of x in terms of y

g(x) = y = \frac{3}{x^2+2x}

⇒ y × (x² + 2x) = 3

⇒ yx² + 2xy = 3

⇒ yx² + 2yx - 3 = 0

Determining the roots of x using:

x = \frac{-b + \sqrt{b^{2} - 4ac}}{2a} OR x = \frac{-b - \sqrt{b^{2} - 4ac}}{2a} , where a is coefficient of x², b is coefficient of x, and c is the constant

⇒ x = \frac{-2y + \sqrt{4y^2 - 4(2y)(-3)}}{2y} OR x = \frac{-2y - \sqrt{4y^2 - 4(2y)(-3)}}{2y}

⇒ x = \frac{-2y + \sqrt{4y^2 + 24y}}{2y} OR x = \frac{-2y - \sqrt{4y^2 + 24y}}{2y}

Hence, g^-1(x) = \frac{-2y + \sqrt{4y^2 + 24y}}{2y} OR x = \frac{-2y - \sqrt{4y^2 + 24y}}{2y}

7 0
3 years ago
Read 2 more answers
Find the area of the shaded sector. Leave your answer in terms of π.
bearhunter [10]

Answer:

d=10m

r=10/2=5m

The Area is:

(πr^{2}) /2

(π5^2) / 2

=25π/2

=12.5π

8 0
3 years ago
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£2000 is invested in a savings account. Compound interest at 2.1% P.A.
stich3 [128]
\sf\ 2.1\ percent\ interest\ P.A.\ means\ annually.\ Annually\ means\ every\ year.\\\\ The\ question\ requires\ a\ compound\ interest\ formula.\\\\\ The\ formula\ is\\{\boxed{A=P(1+ \frac{r}{n})^n^t}



\sf\ P\ =\ principal\ amount\ (2000)\\\\ r\  =\ annual\ rate\ of\ interest\ (.021)\\\\ t\  =\ number\ of\ years\ the\ amount\ is\ deposited\ or\ borrowed\ for\ (2)\\\\ A\ =\ amount\ of\ money\ accumulated\ after\ n\ years,\ including\ interest\ (?)\\\\ n\  =\  number\ of\ times\ the\ interest\ is\ compounded\ per\ year\ (1)\\\\\\\\A=P(1+ \frac{r}{n})^n^t\\\\A=2000(1+ \frac{.021}{1})^2\\\\A=2000(1.021)^2\\\\A=2000(1.042441)\\\\\A=2084.882\\\\\\\ To\ find\ the\ amount\ of\ interest:\\2084.882-2000=84.882=\\\\{\boxed{84.88}



\boxed{\sf\ Answer:\ D}
6 0
3 years ago
HURRY can a triangle can be constructed with angles measuring 115°,55°, and 20°? yes or no​
EleoNora [17]

Answer:

no

Step-by-step explanation:

The sum of the angles of a triangle must add to 180 degrees

115+55+20 = 190

This is not equal to 180 so it is not a triangle.

6 0
3 years ago
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