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2 years ago

HELP ITS URGENT WILL MARK BRAINLEST

Mathematics

2 answers:

sesenic [268]2 years ago

7 0

= 16 * 10^13

which in scientific notation is 1.6 * 10^14

zzz [600]2 years ago

3 0

It is 1.0 xc 14*3 thAT IS BECAUSE OG THTRE FRSCTOION THT IT FOLLOWS

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If the sine of an acute angle is 3/5, what is the cosine of that angle?

Korvikt [17]

Answer:

The cosine of the angle is 4/5.

Step-by-step explanation:

An acute angle is between 0º and 90º, in the first quadrant of the trigonometric circle, in which both the sine and the cosine are positive values.

For each angle $\alpha$ , we have that:

$\sin^{2}{\alpha} + \cos^{2}{\alpha} = 1$

We have that:

$\sin{\alpha} = \frac{3}{5}$

$\sin^{2}{\alpha} + \cos^{2}{\alpha} = 1$

$(\frac{3}{5})^{2} + \cos^{2}{\alpha} = 1$

$\cos^{2}{\alpha} = \frac{16}{25}$

$\cos{\alpha} = \frac{4}{5}$

The cosine of the angle is 4/5.

8 0

2 years ago

What is 350 enlarged by 20% equal to?

Ira Lisetskai [31]

Answer:

420

Step-by-step explanation:

The first step is to convert 20% to decimal form. 20%=20/100=0.2. Now, you can multiply this by 350 to get 70. Adding this to the original value of 350, you get 350+70=420. Hope this helps!

4 0

2 years ago

Read 2 more answers

Explain why a rotation of 90 degrees around any point zero never maps a line to a line parallel to itself

Elis [28]

Answer:

Since zero is on the origin (0,0) a 90 degree rotation will intercept the origin no matter what so, it can't be parallel.

Step-by-step explanation:

8 0

2 years ago

A cosmetic company makes three bottles of scented lotion using the recipe shown. Each bottle holds a different amount of lotion.

seropon [69]

Answer:

Part 1) Bottle 1 (vanilla=1,almond=3,pineapple=4)

Part 2) Bottle 2 (vanilla=2,almond=6,pineapple=8)

Part 3) Bottle 3 (vanilla=1 1/2,almond=4 1/2,pineapple=6)

Step-by-step explanation:

Let

x ----> the amount of vanilla sent

y ----> amount of almond sent

z ----> the amount of pineapple sent

we know that

$x:y:z=\frac{1}{8}:\frac{3}{8}:\frac{1}{2}$

$\frac{x}{y}=\frac{1}{8}:\frac{3}{8}$

$\frac{x}{y}=\frac{1}{3}$

$x=\frac{y}{3}$ -----> equation A

$\frac{x}{z}=\frac{1}{8}:\frac{1}{2}$

$\frac{x}{z}=\frac{1}{4}$

$x=\frac{1}{4}z$ -----> equation B

$\frac{y}{z}=\frac{3}{8}:\frac{1}{2}$

$\frac{y}{z}=\frac{3}{4}$

$y=\frac{3}{4}z$ -----> equation C

Part 1) Bottle 1

vanilla=?

almond=?

pineapple=4

we have

$z=4$

Find the value of x

substitute the value of z in equation B

$x=\frac{1}{4}(4)$

$x=1$

Find the value of y

substitute the value of z in equation C

$y=\frac{3}{4}(4)$

$y=3$

therefore

Bottle 1

vanilla=1

almond=3

pineapple=4

Part 2) Bottle 2

vanilla=?

almond=6

pineapple=?

we have

$y=6$

Find the value of x

substitute the value of y in equation A

$x=\frac{6}{3}=2$

Find the value of z

substitute the value of x in equation B

$2=\frac{1}{4}z$

solve for z

$z=8$

therefore

Bottle 2

vanilla=2

almond=6

pineapple=8

Part 3) Bottle 3

vanilla=1 1/2

almond=?

pineapple=?

we have

$x=1\frac{1}{2}$

convert to an improper fraction

$x=1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}$

Find the value of y

substitute the value of x in equation A

$\frac{3}{2}=\frac{y}{3}$

$y=\frac{9}{2}$

convert to mixed number

$y=\frac{9}{2}=\frac{8}{2}+\frac{1}{2}=4\frac{1}{2}$

Find the value of z

substitute the value of x in equation B

$\frac{3}{2}=\frac{1}{4}z$

$z=6$

therefore

Bottle 3

vanilla=1 1/2

almond=4 1/2

pineapple=6

5 0

2 years ago

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To the nearest foot, what amount of fencing is needed to surround the perimeter of the flower bed? 17 feet 33 feet 40 feet 50 fe

KATRIN_1 [288]

We have two flower beds in this example, the first has a perimeter of 100 feet, and the second has a perimeter of 180 feet

The total is 280 feet

<h3>Perimeter of Rectangle</h3>

Given Data

Dimension of the first flower bed

Length = 17 feet

Width = 33 feet

Perimeter = 2L + 2W

Perimeter = 2*17 + 2*33

Perimeter = 34 + 66

Perimeter = 100 feet

Dimension of the second flower bed

Length = 40 feet

Width = 50 feet

Perimeter = 2L + 2W

Perimeter = 2*40 + 2*50

Perimeter = 80 + 100

Perimeter = 180 feet

The total length will be 100+180 = 280 feet

Learn more about Perimeter here:

brainly.com/question/19819849

4 0

2 years ago