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3 years ago

Kyle swan 450 yards in 5 minutes. What is the average number of yards he swam per minute?

Mathematics

2 answers:

Delicious77 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

450/5

Kipish [7]3 years ago

6 0

Answer:

Step-by-step explanation:

450 / 5 = 90

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Explain each step for solving x^2 - 4x=6 by the method of completing the square.

deff fn [24]

Answer:

If you aren't looking for the quadratic solving method then comment it down below and tell me what you're looking for

QUADRATIC EQUATION

x²- 4x = 6

(x - 2)²- 4 = 6

(x - 2)² = 10

x - 2 = ±10

x = ±10+2

x = -8, 12

3 0

4 years ago

In the diagram, VZ/YZ=WZ/XZ. To prove that △VWZ ~ △YXZ by the SAS similarity theorem, which other sides or angles should be used

Vitek1552 [10]

Answer:

The angles $\angle VZW\cong \angle YZX$ are used to prove the similarity of triangles VWZ and YXZ.

Step-by-step explanation:

Given information: $\frac{VZ}{YZ}=\frac{WZ}{XZ}$

Two triangles are called congruent if their corresponding sides are in same proportion or the corresponding angles are same.

If two corresponding sides of triangle have same proportion and their inclined angle is same, then by SAS rule of similarity both triangles are similar.

From the given figure it is noticed that the ∠VZW and ∠YZX are vertically opposite angles. The vertically opposite angles are always equal.

$\angle VZW=\angle YZX$ (Vertically opposite angles)

$\frac{VZ}{YZ}=\frac{WZ}{XZ}$ (Given)

By SAS rule of similarity

$VWZ\sim YXZ$

Therefore the angles $\angle VZW\cong \angle YZX$ are used to prove the similarity of triangles VWZ and YXZ.

4 0

3 years ago

Read 2 more answers

The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of ∆ABC is units is? What is the area?

11111nata11111 [884]

we have

$A(-2, 2),B(6, 2),C(0, 8)$

see the attached figure to better understand the problem

we know that

The perimeter of the triangle is equal to

$P=AB+BC+AC$

and

the area of the triangle is equal to

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB\\heigth=DC$

we know that

The distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step $1$

Find the distance AB

$A(-2, 2),B(6, 2)$

Substitute the values in the formula

$d=\sqrt{(2-2)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$dAB=8\ units$

Step $2$

Find the distance BC

$B(6, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-6)^{2}}$

$d=\sqrt{(6)^{2}+(-6)^{2}}$

$dBC=6\sqrt{2}\ units$

Step $3$

Find the distance AC

$A(-2, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0+2)^{2}}$

$d=\sqrt{(6)^{2}+(2)^{2}}$

$dAC=2\sqrt{10}\ units$

Step $4$

Find the distance DC

$D(0, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-0)^{2}}$

$d=\sqrt{(6)^{2}+(0)^{2}}$

$dDC=6\ units$

Step $5$

Find the perimeter of the triangle

$P=AB+BC+AC$

substitute the values

$P=8\ units+6\sqrt{2}\ units+2\sqrt{10}\ units$

$P=22.81\ units$

therefore

The perimeter of the triangle is equal to $22.81\ units$

Step $6$

Find the area of the triangle

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB=8\ units\\heigth=DC=6\ units$

substitute the values

$A=\frac{1}{2}*8*6$

$A=24\ units^{2}$

therefore

the area of the triangle is $24\ units^{2}$

4 0

3 years ago

Read 2 more answers

Ann's watch runs 2 minutes per hour too slow. Beth's watch runs 1 minute per hour too fast. For example, if both watches were co

Elenna [48]

Answer:

8 am Monday

Step-by-step explanation:

The difference between the two watches is 2+1= 3 minutes.

It would take 60/3 = 20 hours to have a difference of 60 minutes.

From noon Sunday it would be more 20 hours the earliest time there would be a difference of one hour between the two watches' time.

12 noon + 20 hours= 8 am Monday

7 0

3 years ago

Will give 50 points!!! ASAP!!!!!!!!!!!

Nostrana [21]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

Since there are a total of 4 colors, and there are 5 of each colors, the total marbles in the bad would be;

5 x 4 = 20

If a color is selected at random the probability would be

$\frac{part}{whole}$

our part is 5

our whole is 20

so the probability would be;

$\frac{5}{20}$ or $\frac{1}{4}$ when reduced

Hope this helps!

5 0

2 years ago

Read 2 more answers