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3 years ago

Express this number in scientific notation. 0.00061

Mathematics

1 answer:

shutvik [7]3 years ago

7 0

Answer:

6.1×10^-4

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1 square kilometre equals to 100000000000 square centimetres Express it in scientific notation

umka21 [38]

Answer:

1Km^2 = 100000000000 cm^2

8 0

3 years ago

The diagram below shows a pennant in the shape of an isosceles triangle. The equal sides each measure 13. The altitude is x + 7

Kisachek [45]

Answer: The length of the base is 10.

Step-by-step explanation:

You can draw an isosceles triangle like the one shown attached.

An isosceles triangle has two equal sides. Then, you can divide it into two right triangles, where the base of each one of them will be:

$b'=\frac{2x}{2}=x$

The hypotenuse of each right triangle shown is 13 and the other legs are (x+7) and x, therefore you can apply the Pythagorean Theorem:

$13^2=x^2+(x+7)^2$

Simplify the expression:

$169=x^2+(x^{2}+2(x)(7)+7^2)\\169=x^{2}+x^{2}+14x+49\\0=2x^{2}+14x-120$

Use the quadratic formula, where:

$a=2\\b=14\\c=-120$

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

Then:

$x=\frac{-14\±\sqrt{14^2-4(2)(-120)}}{2+2}$

$x_1=5\\x_2=-12$

Choose the positive value, because lengths are not negative.

Substitute the value of x into the base 2x. Therefore, the answer is:

$b=2x=2(5)=10$

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3 years ago

Two six-sided dice are rolled (one red and one green). Some possibilities are (Red=1,Green=5) or (Red=2,Green=2) etc.

klasskru [66]

A.) There are going to be 72 total possibilities.
Because if you have 6 times 6 is 36 times 2 is 72.
B.) The probability that the sum on the dice come out to be 11 is 2:72
Because you can only have (6,5) and (5,6)
C.) The probability that the sum on the two dice comes out to be 7 is 6:72
Because you have (6,1) (1,6) (5,2) (2,5) (4,3) (3,4)
D.) The probability that the numbers on the two dice are equal is 6:72
<span>Because you have (6,6) (5,5) (4,4) (3,3) (2,2,) (1,1) </span>

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3 years ago

Simplify the expression:<br> (-4 + v)(3) - =

lara31 [8.8K]

Answer:

-12 + 3v Is the answer

Hope this helps :)

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2 years ago

Simplify this expression.

Tresset [83]

Answer:

Step-by-step explanation:

Second option correct

6 0

3 years ago