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3 years ago

Round the nearest hundreds Place 52% of 210

Mathematics

2 answers:

statuscvo [17]3 years ago

8 0

Answer:

109.2

Step-by-step explanation:

% Off means multiply

52 % × 210

10,920

Change into decimal form , we get

109.2

Ket [755]3 years ago

4 0

Answer:

109.2

Step-by-step explanation:

Of means multiply

52% * 210

Change to decimal form

.52 * 210

109.2

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The Smith family went out to dinner.

kodGreya [7K]

Answer:

13.22

Step-by-step explanation:

3 0

3 years ago

Solve Sine inverse x +sine inverse 2x = π/3

sergeinik [125]

$\arcsin x+\arcsin2x=\dfrac\pi3$
$\sin\left(\arcsin x+\arcsin2x\right)=\sin\dfrac\pi3$
$\sin(\arcsin x)\cos(\arcsin2x)+\sin(\arcsin2x)\cos(\arcsin x)=\dfrac{\sqrt3}2$

Note that $\arcsin x$ is defined for $|x|\le1$ , and $\arcsin2x$ is defined for $|x|\le\dfrac12$ , where the latter will be the "total" domain. Under this condition, you have $\sin(\arcsin x)=x$ and $\sin(\arcsin2x)=2x$ . The cosine terms can be found with Pythagoras' theorem.

So provided that $|x|\le\dfrac12$ , it follows that the above reduces to

$x\sqrt{1-4x^2}+2x\sqrt{1-x^2}=\dfrac{\sqrt3}2$

Squaring both sides gives

$x^2(1-4x^2)+4x^2\sqrt{(1-4x^2)(1-x^2)}+4x^2(1-x^2)=\dfrac34$
$5x^2-8x^4+4x^2\sqrt{(1-4x^2)(1-x^2)}=\dfrac34$
$8x^4-5x^2+\dfrac34=4x^2\sqrt{(1-4x^2)(1-x^2)}$

Squaring both sides again gives

$\left(8x^4-5x^2+\dfrac34\right)^2=16x^4(1-4x^2)(1-x^2)$
$64x^8-80x^6+37x^4-\dfrac{15}2x^2+\dfrac9{16}=64x^8-80x^6+16x^4$
$21x^4-\dfrac{15}2x^2+\dfrac9{16}=0$
$112x^4-40x^2+3=0$
$(4x^2-1)(28x^2-3)=0$
$(2x-1)(2x+1)(\sqrt{28}x-\sqrt3)(\sqrt{28}x+\sqrt3)=0$

$\implies x=\pm\dfrac12,\pm\sqrt{\dfrac3{28}}$

Three of these solutions are extraneous, however.

When $x=-\dfrac12$ , we have $\arcsin x+\arcsin2x=-\dfrac{2\pi}3$ .

When $x=\dfrac12$ , we have $\arcsin x+\arcsin2x=\dfrac{2\pi}3$ .

When $x=-\sqrt{\dfrac3{28}}$ , we have $\arcsin x+\arcsin2x=-\dfrac\pi3$ .

Finally, when $x=\sqrt{\dfrac3{28}}$ , we have $\arcsin x+\arcsin2x=\dfrac\pi3$ , so this is our only solution.

7 0

3 years ago

In hopes of encouraging healthier snacks at school, Wanda brought in a tray of carrot sticks and apple slices to share. The tray

lana66690 [7]

Answer:

Wanda brought 9 carrot sticks.

Step-by-step explanation:

Convert 30% to a decimal by removing the percent sign and dividing by 100: 30 ÷ 100 = 0.30
Substitute 0.30 for 30% in the equation: 30% x 30 = Y becomes 0.30 * 30 = Y
Do the math: 0.30 x 30 = 9
Y = 9
So 30% of 30 is 9
Double check your answer with the original question: How many carrot sticks did Wanda bring? Multiply 0.30 x 30 = 9

4 0

2 years ago

Which of the following expressions is equivalent to (6x-2) (3x+3)?

OverLord2011 [107]

Answer:

18x^2 + 12x - 6

Step-by-step explanation:

(6x - 2) (3x + 3 )

= 18x^2 + 18x -6x - 6

= 18x^2 +12x - 6

4 0

3 years ago

3. An automobile manufacturer has three factories, A, B, and C. They produce 50, 30, and 20%,

julsineya [31]

Answer:

Step-by-step explanation:

P(white) = .5%2A.3%2B.3%2A.4%2B.2%2A.25=+.15+%2B+.12+%2B.05+=+.32 0r 32%

4 0

3 years ago