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3 years ago

What is the area of the following figures Important, thank youuuuu!!

Mathematics

2 answers:

12345 [234]3 years ago

6 0

Answer:

49.12 cm²

Step-by-step explanation:

A = b×h/2 + πr²/2

= 8×6/2 + 3.14×16/2

= 24 + 25.12

= 49.12 cm²

Natasha_Volkova [10]3 years ago

4 0

Answer:

Exact area = 24+8pi square cm

Approximate area = 49.1327412287183 square cm

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

Explanation:

The semicircle portion has area of 0.5*pi*r^2 = 0.5*pi*4^2 = 8pi

The largest triangle has an area of 0.5*b*h = 0.5*8*6 = 24

The total exact area is therefore 24+8pi and this is approximately equal to 49.1327412287183 after using a calculator.

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In the triangle below, which equation can be used to solve for x?

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3 years ago

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A geometric sequence is defined by the equation an = (3)3 − n.

Delvig [45]

PART A

The geometric sequence is defined by the equation

$a_{n}=3^{3-n}$

To find the first three terms, we put n=1,2,3

When n=1,

$a_{1}=3^{3-1}$

$a_{1}=3^{2}$

$a_{1}=9$
When n=2,

$a_{2}=3^{3-2}$
$a_{2}=3^{1}$

$a_{2}=3$

When n=3

$a_{3}=3^{3-3}$

$a_{3}=3^{0}$
$a_{1}=1$
The first three terms are,

$9,3,1$

PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
$r= \frac{a_{2}}{a_{1}}$
$r = \frac{3}{9}$

$r = \frac{1}{3}$

PART C

To find
$a_{11}$

We substitute n=11 into the equation of the geometric sequence.

$a_{11} = {3}^{3 - 11}$

This implies that,

$a_{11} = {3}^{ - 8}$

$a_{11} = \frac{1}{ {3}^{8} }$

$a_{11}=\frac{1}{6561}$

4 0

3 years ago

If H is the center of the circle find the measurement of GJI

Over [174]

We know that

mGJI+117.33°=360° (full circle)
so
mGJI=360°-117.33°-----> 242.67°

the answer is
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3 0

4 years ago

Taylor bought 200 shares of stock for $18.12 per share last year. He paid his broker a flat fee of $30. He sold te stock this mo

rusak2 [61]

The answer is $3990 heres why

First you need to find out what is the total you paied for the shares
$18.12x200= $3624

Then you need to add the flat fee to the spending chost
$3624+$30= $3654

Now you re-mulitply the chost per stock to the tootle #'s of stock you sold
$21x200= $4200

Then you need to find out what how much you need to pay the stock broker
$4200x.05= $210

Then once you find out how much you need to pay him subtract that amount to the total money earned from selling your stocks
$4200-$210= $3990

Then if you want to also find out your profit just subtract the total amount you payed for the stock and subtract it from the total amount you gained from the stock.
$3990- $3654= $336 Profit

6 0

3 years ago

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Find the 6th term of the geometric sequence, given the first term and common ratio a1= 5 and r=3/2

uysha [10]

<u>Answer</u>

37.96875

<u>Explanation</u>

In geometric sequence we use the formula below to find the nth of a sequence.

Tn = ar⁽ⁿ⁻¹⁾

Where a ⇒ first term

n ⇒ the term we are looking for

T₆ = 5 × (3/2)⁶⁻¹

= 5 × (3/2)⁵

= 5 × 243/32

= 1215/32

= 37 31/32

= 37.96875

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3 years ago