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musickatia [10]
3 years ago
5

Show a step-by-step process of solving 7/20 and getting a decimal answer.

Mathematics
1 answer:
Luden [163]3 years ago
5 0
First we have to multiply the numerator and the denominator by 5:
\frac{7}{20}* \frac{5}{5}= \frac{35}{100} = 0.35

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The circumference of a circle varies directly as the diameter of a circle. When the diameter of a circle is 5, the circumference
Naya [18.7K]

Answer:

20.3 units

Step-by-step explanation:

Write and solve an equation involving ratios:

 5 units       15.7 units

------------- = ----------------

 9 units             C

Cross-multiplying, we get 5C = 9(15.7), with C measured in "units."

Then 5C = 141.3, so that C = 141.3 units   /   5   =   20.3 units.

5 0
3 years ago
Read 2 more answers
Prove that if b is a square matrix then b+b^t is symmetric
WARRIOR [948]
A matrix \mathbf X is symmetric if \mathbf X=\mathbf X^\top. We have

(\mathbf B+\mathbf B^\top)^\top=\mathbf B^\top+(\mathbf B^\top)^\top=\mathbf B^\top+\mathbf B=\mathbf B+\mathbf B^\top

and so \mathbf B+\mathbf B^\top is indeed symmetric.
6 0
3 years ago
Quadrilateral ABCD has the following vertices.
Marizza181 [45]
A(-5,5)
B(4,5)
C(2,0)
D(-5,-2)

AB,BC,CD,DA

AB = [4-(-5)),5-5]=[9,0]
Lenght  AB= \sqrt{9^2+0^2}= \sqrt{81}  =9

BC = [2-4,0-5]=[-2,-5]
Lenght  BC=\sqrt{(-2)^2+(-5)^2}=\sqrt{4+25}=\sqrt{29}

CD = [-5-2,-2-0]=[-7,-2]
Lenght  CD=\sqrt{(-7)^2+(-2)^2}=\sqrt{49+4}=\sqrt{53}

DA =[-5-(-5),-2-5]=[0,-7]
Lenght DA=\sqrt{0^2+(-7)^2}=\sqrt{49}=7

sorted from longest to shortest:
AB, CD,DA,BC
\sqrt{81}, \sqrt{53}, \sqrt{49}, \sqrt{29}

3 0
3 years ago
Factor this expression completely 9x^2- y^2
Nina [5.8K]

Answer:

(3x - y)(3x + y)

Step-by-step explanation:

Both 9x^2 and y^2 are perfects squares.

The rule for factoring perfect squares is a^2 - b^2 = (a - b)(a + b).

Here, factoring (3x)^2 - y^2 results in (3x - y)(3x + y).

7 0
3 years ago
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Find the point closest to the origin in the line of intersection of the planes y + 2z = 10 and x + y = 11. The point closest to
Bogdan [553]

Answer with explanation:

The equation of two planes are

  1.→y +2 z=10

   2.→x+y=11

To find the point of Intersection of two planes

let,→ y=t

→2 z=10 - t

10 -2 z=t

→x=11 -t

11 -x=t

So,Writing equation of line which is intersection of two planes

    → 11 -x = y= 10-2 z=t

\rightarrow \frac{x-11}{-1}=\frac{y}{1}=\frac{z-5}{\frac{-1}{2}}=t

                                          ---------------------------------(1)

⇒Putting , x=0, y=0 and z=0 in the above equation ,to find the point Closest to Origin which will be

    =(11, 0, 10)

6 0
3 years ago
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