Convert these percent to a decimal 89.2%, 5%, 177%, 78.4%, 7%, and 46.3%

2 answers:

4 0

Each of these percents can be converted to a decimal by moving the decimal 2 places to the left. 89.2% would become 0.892, 5% would become 0.05, 177% would become 1.77, 78.4% would become 0.784, 7% would become 0.07, and 46.3% would become a 0.463.

BabaBlast [244]2 years ago

4 0

To convert a percent to a decimal, move the decimal point two places to the left.

89.2% ⇒ 0.892
5% ⇒ 0.05
177% ⇒ 1.77
78.4% ⇒ 0.784
46.3% ⇒ 0.463

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the standard addition algorithm below is being used to add three two-digit numbers 4z + 27 + x 5 equals y 14. If x, y, and z eac

Studentka2010 [4]

For the units positions of all numbers we have:
$z+7+5=4 \\ z+12=4$
From this we can conclude that total sum of these three numbers is 14. Number 1 we carry to next step. So we have:
$z+12=14 \\ z=2$

For the tens positions of all numbers we have:
$4+2+x+1=1 \\ 7+x=1$
The extra number 1 on left side comes from the carry from last step. Similar to ones position we know that total sum is 11.
$7+x=11 \\ x=4$

Now we insert x and z to find out y:
$42+27+45=y14 \\ 114=y14 \\ y=1$

Now we need to find out the product of these three numbers:
$x*y*z=4*1*2=8$

3 0

3 years ago

John wants to measure the width of a stream using the methods he has learned in geometry. He puts a stake in the ground opposite

otez555 [7]

John's method to determine the width of the stream uses the knowledge

that the tangent of 60° is approximately 1.7.

The proper sequence John would use to find the width of the stream are;

Step 1; John drives a stake opposite the tree to establish a line between two points

Step 2; John uses a compass to walk away from the stakes at a right angle

Step 3; On the path John walks until he finds a line of sight to the tree that equals 60 degrees

Step 4; John drives a second stake in the ground

Step 5; John measures the the distance between the two stakes

Step 6; John multiplies the distance between the two stakes by 1.7 to find the distance.

Reasons:

The steps that can be used to measure the width of the stream are;

Step 1: Drive a stake opposite the tree on the other side of the stream.

Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.

Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.

Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.

Step 5; Measure the distance between the stakes that are placed in the ground.

Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.

$\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}$