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SVETLANKA909090 [29]
4 years ago
11

Help me please I’m having trouble with it

Mathematics
1 answer:
gavmur [86]4 years ago
4 0

Given:

Measure of arcs 50°, 115° and 85°

To find:

The measure of the numbered angle 5.

Solution:

Let the missing arc measure be A.

The arc measure of a full circle is 360°

m(ar A) + 50° + 115° + 85° = 360°

m(ar A) + 250° = 360°

Subtract 250 from both sides.

m(ar A) = 110°

<em>If two chords intersects inside a circle, then the measure of the angle formed is half of the sum of intercepted arcs.</em>

$\Rightarrow m\angle 5 =\frac{1}{2} (110^\circ+115^\circ)

$\Rightarrow m\angle 5 =\frac{1}{2} (225^\circ)

$\Rightarrow m\angle 5 =112.5^\circ

The measure of the numbered angle is 112.5°.

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3 years ago
find how long it will take for an investment sum of $40000 to generate simple interest of $8000 at 5% per annum​
guapka [62]

Answer:

It will take 4 years

Step-by-step explanation:

The formula of the simple interest is <em>I = Prt</em>, where

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  • <em>t</em> is the time

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∴ <em>P</em> = 40000

∵ The simple interest is $8000

∴ <em>I </em>= 8000

∵ The rate of interest is 5%

∴ r = 5%

→ Change it to decimal by divide it by 100

∴ <em>r</em> = 5 ÷ 100 = 0.05

→ Substitute them in the formula above

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6 0
3 years ago
Hi, can anyone help me? :)
blagie [28]

Answer:

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