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3 years ago

Could someone answer this and explain an easier way to do this?

Mathematics

1 answer:

goblinko [34]3 years ago

3 0

Answer:

Area of the figure = 109 cm. square

Step-by-step explanation:

The radius of the semi circle is 12 ÷ 2 = 6 cm.

Area of the semi circle = $\frac{1}{2}\pi(6^{2})=18\pi$

The radius of the quarter circle is 6 cm.

Area of the quarter circle = $\frac{1}{4}\pi(6^{2}=9\pi$

The area of the rectangle = 12 × 2 = 24

The area of the figure = 18π + 9π + 24 = 108.78 ≅ 109 cm. square

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In the graph increasing, decreasing, or constant?

shepuryov [24]

The graph is increasing

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3 years ago

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What is the missing coefficient?

Afina-wow [57]

For this case we have the following expression:

$(15x ^ 2 + 11y ^ 2 + 8x) - (7x ^ 2 + 5y ^ 2 + 2x) =$

We eliminate the parentheses taking into account that:

$- * + = -\\15x ^ 2 + 11y ^ 2 + 8x-7x ^ 2-5y ^ 2-2x$

We add similar terms:

$15x ^ 2-7x ^ 2 + 11y ^ 2-5y ^ 2 + 8x-2x =$

Different signs are subtracted and the sign of the major is placed:

$8x ^ 2 + 6y ^ 2 + 6x$

Finally, the expression is reduced to:

$8x ^ 2 + 6y ^ 2 + 6x$

Answer:

$8x ^ 2 + 6y ^ 2 + 6x$

Option B

6 0

3 years ago

Read 2 more answers

Keith bought 6 new baseball trading cards to add to his collection. The next

sergeinik [125]

Keith started with 44 cards.

So we need to work backwards.

After his dog ate half his collection, he had 25 cards.

To reverse that, you need to multiply 25 by 2.

25×2=50

If he bought 6 new cards that day, then he started with 6 cards less.

So you have to subtract 6 from 50.

50-6=44

♡ Hope this helped! ♡

❀ 0ranges ❀

4 0

3 years ago

The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other

Drupady [299]

Answer:

Height of fir tree = 9 meters

height of pine tree= 12 meters

Step-by-step explanation:

The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Let x be the height of fir tree and y be the height of pine tree

$x+y=21$

Subtract x from both sides

$y=21-x$

height of 4 fir trees = pine tree +24

$4x=y+24$

Substitute 21-x or y in the above equation

$4x=21-x+24$

Add x on both sides

$5x=45$

Divide by 5 on both sides

x=9

Now plug in 9 for x and find out y

$y=21-x$

$y=21-9$

y=12

Height of fir tree = 9 meters

height of pine tree= 12 meters

4 0

4 years ago

Solve for x. Leave your answer in simplest radical form.

strojnjashka [21]

There are two Right angled triangles in the given figure, with two missing sides, let's name the other missing side be " y "

According to Pythagoras theorem,

$\boxed{ \large \boxed{h {}^{2} = {b}^{2} + p{}^{2} }}$

note :

p = perpendicular / opposite side
b = base / adjacent side
h = hypotenuse

let's solve for " y² " first ( square of other missing side )

$➢ \: \: {y}^{2} = {8}^{2} + 3 {}^{2}$

$➢ \: \: {y}^{2} = 64 + 9$

$➢ \: \: {y}^{2} = 73$

now let's solve for " x " , by using pythagorous theorem

$➢ \: \: {x}^{2} = {y}^{2} + {6}^{2}$

$➢ \: \: {x}^{2} = 73 + 36$

$➢ \: \:x {}^{2} = 109$

$➢ \: \: x = \sqrt{109}$

Approximate :

$➢ \: \: 10.44 \: \: units$

$\mathrm{✌TeeNForeveR✌}$

5 0

3 years ago