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3 years ago

Item 1 Find the measure of the exterior angle.

Mathematics

2 answers:

Dmitriy789 [7]3 years ago

8 0

Answer:

Here in your question uli haven't mentioned any angles.

However we can calculate exterior angle by adding the two opposite interior angles.

hjlf3 years ago

6 0

Answer:

WHERE IS THE ITEMMMMMMMMM

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A circle is centered at $O$ and has an area of $48 \pi.$ Let $Q$ and $R$ be points on the circle, and let $P$ be the circumcente

nikklg [1K]

Answer:

Area of Triangle QRP = 3 $\sqrt{3}$

Step-by-step explanation:

According to Question , We have a circle With Centre 'O' & Area 48 $\pi$ .

Area Of Circle = 48 $\pi$

$\pi$ $r^{2}$ = 48 $\pi$

r = $\sqrt{48}$

Now We Have Two Points Given On Circle Q & R , P Is Circumcentre Of Triangle QRO .

Thus A Circle Can Also Be Formed with Centre P . ( See attachment For Diagram )

Now The Diameter of Circle With Centre P = Radius Of Circle with Centre O

so Radius Of Circle With Centre P( $r_{2}$ ) = $\frac{\sqrt{48}}{2}$

Now We Have To Find Area Of Equilateral Triangle .

A = $\frac{\sqrt{3}}{4} r_{2} ^{2}$

A= $\frac{\sqrt{3} }{4} * \frac{\sqrt{48} }{2}*\frac{\sqrt{48} }{2}$

The Area Of PQR is = 3 $\sqrt{3}$

For Diagram , Please Find In Attachment

7 0

3 years ago

Solve for n please, with work , thank you!

Paul [167]

$\huge \boxed{\mathfrak{Question} \downarrow}$

$\sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )$

Solve the inequality algebraically.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )$

Use the distributive property to multiply -4 by 2n-8.

$\sf1-3n>-1-8n+32$

Add -1 and 32 to get 31.

$\sf1-3n>31-8n$

Add 8n to both sides.

$\sf1-3n+8n>31$

Combine -3n and 8n to get 5n.

$\sf1+5n>31$

Subtract 1 from both sides.

$\sf5n>31-1$

Subtract 1 from 31 to get 30.

$\sf5n>30$

Divide both sides by 5. As 5 > 0, the direction of the inequality remains the same.

$\sf \: n>\frac{30}{5} \\$

Divide 30 by 5 to get 6.

$\boxed{ \boxed{ \bf \: n>6 }}$

3 0

3 years ago

Read 2 more answers

I did it but it didn't have my answer on the list lol

r-ruslan [8.4K]

Answer:

B) 1 8/27

Step-by-step explanation:

First, change all mixed fractions into improper fractions:

2 1/3 = 7/3

1 4/5 = 9/5

7/3 ÷ 9/5

Next, flip the second fraction, and change the division sign into multiplication:

7/3 x 5/9

Multiply across:

7/3 x 5/9 = 35/27

Change into a mixed fraction:

35/27 = 27/27 + 8/27

1 8/27 is your answer.

3 0

3 years ago

You are given a choice of taking the simple interest on $100,000 invested for 4 years at a rate of 5% or the interest on $100,00

topjm [15]

Answer:

5% compounded
$2495.31

Step-by-step explanation:

The amount (A) resulting from principal P invested at simple interest rate r for t years is ...

A = P(1 +rt)

A = $100,000(1 +0.05·4) = $120,000

The amount resulting from interest being compounded daily is ...

A = P(1 +r/360)^(365.25t)

A = $100,000(1.00013888...)^1461 = $122,495.31

The "Banker's rule" says the daily rate is based on 360 days per year. The actual interest is computed based on the exact number of days. In 4 years, there will be a leap year, so that's 1461 days.

The investment with compounded interest earns more.

$122,495.31 -120,000.00 = $2,495.31

The difference in interest earned is $2,495.31.

4 0

3 years ago

After 3 hours, Ronald had travelled 195 miles. If he travels at a constant speed, how far in miles did Ronald drive per hour?

nasty-shy [4]

Answer:

65 miles per hour

Step-by-step explanation:

195 ÷ 3

= 65

7 0

3 years ago