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2 years ago

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Convert 6% to an equivalent decimal

1 answer:

Burka [1]2 years ago

8 0

Answer:

0.06

Step-by-step explanation:

You might be interested in

Explain why 3/4 of 16 is the same as 3x16 divided by four?

kolbaska11 [484]

Its not. because 16 / .75 (which is 3/4) = 21.33--

3 * 16 = 48 / 4 = 12

I hope this helps :)

4 0

2 years ago

If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle?

Leni [432]

Answer:

1.6 units

Step-by-step explanation:

Coordinates of A : (-1,1)

Coordinates of B : (3,2)

Coordinates of C :( -1,-1)

Now to find the length of the sides of the triangle we will use distance formula :

$d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

To find length of AB

A = $(x_1,y_1)=(-1,1)$

B= $(x_2,y_2)=(3,2)$

Now substitute the values in the formula:

$d =\sqrt{(3-(-1))^2+(2-1)^2}$

$d =\sqrt{(4)^2+(1)^2}$

$d =\sqrt{16+1}$

$d =\sqrt{17}$

$d =4.12$

Now to find length of BC

B= $(x_1,y_1)=(3,2)$

C = $(x_2,y_2)=(-1,-1)$

Now substitute the values in the formula:

$d =\sqrt{(-1-3)^2+(-1-2)^2}$

$d =\sqrt{(-4)^2+(-3)^2}$

$d =\sqrt{16+9}$

$d =\sqrt{25}$

$d =5$

Now to find length of AC

A = $(x_1,y_1)=(-1,1)$

C = $(x_2,y_2)=(-1,-1)$

Now substitute the values in the formula:

$d =\sqrt{(-1-(-1))^2+(-1-1)^2}$

$d =\sqrt{(0)^2+(-2)^2}$

$d =\sqrt{4}$

$d =2$

Thus the sides of triangle are of length 4.12, 5 and 2

Now to find area of triangle we will use heron's formula :

To calculate the area of given triangle we will use the heron's formula :

$Area = \sqrt{s(s-a)(s-b)(s-c)}$

Where $s = \frac{a+b+c}{2}$

a,b,c are the side lengths of triangle

a = 4.12

b=5

c=2

Substitute the values

Now substitute the values :

$s = \frac{4.12+5+2}{2}$

$s =5.56$

$Area = \sqrt{5.56(5.56-4.12)(5.56-5)(5.56-2)}$

$Area = 3.99$

Now to find the height of altitude corresponding to side BC

So, formula of area of triangle $=\frac{1}{2} \times Base \times Height$

Since Area = 3.99 square units

So, $3.99 =\frac{1}{2} \times BC \times Height$

So, $3.99 =\frac{1}{2} \times 5\times Height$

$3.99 =2.5 \times Height$

$\frac{3.99}{2.5}=Height$

$1.596=Height$

Thus the altitude corresponding to the BC is of length 1.596 unit ≈ 1.6 units

Thus Option D is correct.

7 0

2 years ago

Read 2 more answers

Solveee 3x^2 - 9 = 0

Scorpion4ik [409]

Answer:

x = ± $\sqrt{3}$

Step-by-step explanation:

Given

3x² - 9 = 0 ( add 9 to both sides )

3x² = 9 ( divide both sides by 3 )

x² = 3 ( take the square root of both sides )

x = ± $\sqrt{3}$

8 0

3 years ago

10 ÷ (20 ÷ 2² × 5 ÷ 5) × 8 - 2

dangina [55]

Use PEMDAS:

P arenthesis
E xponents
M ultiplication
D ivision
A dd
S ubstract

Paranthesis and Exponents
(20 / 2^2 * 5 / 5) = 5

Multiplication
5*8= 40

Division
10 / 40 = 0.25

Subtraction
0.25 - 2 = −1.75

Therefore,
The answer is -1.75

5 0

3 years ago

I need to know the answer but it would be nice to have the steps too

Maslowich

Answer:

The perimeter of the rectangle is 27n + 1 feet

Step-by-step explanation:

The formula of the perimeter of the rectangle is P = 2(L + W), where

L is the length of the rectangle

W is the width of the rectangle

∵ The width of a rectangle is 7n - 6.5 feet

∴ W = 7n - 6.5 feet

∵ The length of the rectangle is 6.5n + 7 feet

∴ L = 6.5n + 7 feet

→ Substitute W and L in the formula of the perimeter above

∵ P = 2[6.5n + 7 + 7n - 6.5]

→ Add the like terms

∴ P = 2[(6.5n + 7n) + (7 - 6.5)]

∴ P = 2[13.5n + 0.5]

→ Multiply the terms in the bracket by 2

∴ P = 27n + 1

∴ The perimeter of the rectangle is (27n + 1) feet

3 0

2 years ago