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3 years ago

How can you change numbers from standard to scientific notation?

1 answer:

5 0

Hello,

To convert a number from standard form to scientific notation,

number>10 Move the decimal to the left until thee number is between 1 and 10. Add " x 10^n," where n is the number of places you moved the decimal.

number <1 Move the decimal to the right until thee number is between 1 and 10. Add " x 10^-n," where n is the number of places you moved the decimal.

Faith xoxo

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A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base

Olenka [21]

Answer:

The base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = $x\times\frac{1}{2} =\frac{x}{2} \ m.$

The height of triangle = $x\times \frac{3}{4} =\frac{3x}{4}\ m.$

The area of triangle = $16\ m^2.$

Now, we put the formula of area to solve:

$Area=\frac{1}{2} \times base\times height$

$16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}$

$16=\frac{3x^2}{16}$

Multiplying both sides by 16 we get:

$256=3x^2$

Dividing both sides by 3 we get:

$\frac{256}{3} =x^2$

Using square root on both sides we get:

$\frac{16}{\sqrt{3}}=x$

$x=\frac{16}{\sqrt{3}}$

Now, by substituting the value of $x$ to get the base and height:

$Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.$

So, the base of triangle = $\frac{8}{\sqrt{3}} \ m.$

$Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.$

Thus, the height of triangle = $\frac{12}{\sqrt{3}} \ m.$

Therefore, the base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

7 0

3 years ago

Six oranges cost 5.34. How much does 1 Orange cost?

ikadub [295]

Divide the total cost with the amount there is

5.34/6 = 0.89

Each orange costs $0.89, or 89 cents

hope this helps

6 0

3 years ago

Read 2 more answers

You originally draw a design for an art contest on a 2 inch by 5 inch card. The second phrase of the contest requires the drawin

Bingel [31]

4.2.
If the 2 inch side was scaled to 10.5 inches the 5 inch side would be scaled by 10.5/2 = 5.25, so would be 25.125 inches which is too big.

So the 10.5 inches is the 5 inch side on the original, and so it 10.5/5 = 2.1 times bigger.

Therefore the smaller side would be 2*2.1/= 4.2 inches.

4 0

3 years ago

Given(33×-2) y+22=15

Leona [35]

Answer:

11x(3y+66)+2y=59.

Step-by-step explanation:

33x(y+22)-2(y+22)=15

33xy+726x-2y-44=15

33xy+726x-2y=15+44

33xy+726x-2y=59

11x(3y+66)-2y=59

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3 years ago

What elements in domain has the image 5 under function f(x)= 3x+ 2?

bekas [8.4K]

Answer:

Step-by-step explanation:

hello

calculate x : 3x+2 =5

means : 3x+2-2 =5-2

3x = 3

so : x = 3/3 =1

1 is the element in domain has the image 5 under function f(x)= 3x+ 2

7 0

1 year ago