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3 years ago

Find the percent of change for #1-5

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

4 0

Answer:

1 50.1253%decrease

Step-by-step explanation:

$\frac{399-199}{399}$

= $\frac{100}{399}$

=0.501253

=50.1253

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What is the product?<br><br><br><br> (2x-1)(x+4)

MissTica

Answer:

2x² + 7x - 4

Step-by-step explanation:

(2x-1)(x+4)

= (2x)(x) + (2x)(4) + (-1)(x) + (-1)(4)

=2x² + 8x - x -4

=2x² + 7x - 4

4 0

3 years ago

There are many cylinders for which the height and radius are the same value. Let

VashaNatasha [74]

Answer:

Relation between V and c is represented as:

$V = \pi c^{3}$

When c is halved, V becomes $\frac{1}{8}$ of its initial value.

Step-by-step explanation:

Height of cylinder = Radius of cylinder = c

Volume of cylinder = V

As per formula:

$V = \pi r^{2} h$

Where $r$ is the radius of cylinder and

$h$ is the height of cylinder

Putting $r = h =c$

$V = \pi c^{2} \times c\\\Rightarrow V = \pi c^{3} ......(1)$

The values of c is halved:

Using equation (1), New volume:

$V' = \pi (\dfrac{c}{2})^3\\\Rightarrow \dfrac{1}{8} \pi c^{3}$

By equation (1), putting $\pi \times c^{3} = V$

$V' = \dfrac{1}{8} \times V$

So, when c is halved, V becomes $\frac{1}{8}$ of its initial value.

3 0

3 years ago

Find the lengths of the sides of the triangle PQR. P(2, −3, −4), Q(8, 0, 2), R(11, −6, −4) |PQ| = Incorrect: Your answer is inco

Aloiza [94]

Answer:

the length PQ is 9 units,the length QR is 9 units,the length PR is 9.48 units,the triangle is not a right triangle,this is a isosceles triangle

Step-by-step explanation:

Hello, I think I can help you with this

If you know two points, the distance between then its given by:

$P1(x_{1},y_{1},z_{1} ) \\P2(x_{2},y_{2},z_{2})\\\\d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}+(z_{2}-z_{1} )^{2} }$

Step 1

use the formula to find the length PQ

Let

P1=P=P(2, −3, −4)

P2=Q=Q(8, 0, 2)

$d=\sqrt{(8-2)^{2} +(0-(-3))^{2}+(2-(-4))^{2}} \\ d=\sqrt{(6)^{2} +(3)^{2}+(6 )^{2}}} \\d=\sqrt{36+9+36}\\d=\sqrt{81} \\d=9\\$

the length PQ is 9 units

Step 2

use the formula to find the length QR

Let

P1=Q=Q(8, 0, 2)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-8)^{2} +(6-0))^{2}+(-4-2 )^{2}} \\\\\\d=\sqrt{(3)^{2} +(6)^{2}+(-6 )^{2}}} \\d=\sqrt{9+36+36}\\d=\sqrt{81} \\d=9\\$

the length QR is 9 units

Step 3

use the formula to find the length PR

Let

P1=P(2, −3, −4)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-2)^{2} +(-6-(-3)))^{2}+(-4-4 )^{2}} \\\\\\d=\sqrt{(9)^{2} +(-6+3)^{2}+(-4-(-4) )^{2}}} \\d=\sqrt{81+9+0}\\d=\sqrt{90} \\d=9.48\\$

the length PR is 9.48 units

Step 4

is it a right triangle?

you can check this by using:

$side^{2} +side^{2}=hypotenuse ^{2}$

Let

side 1=side 2= 9

hypotenuse = 9.48

Put the values into the equation

$9^{2} +9^{2} =9.48^{2}\\ 81+81=90\\162=90,false$

Hence, the triangle is not a right triangle

Step 5

is it an isosceles triangle?

In geometry, an isosceles triangle is a type of triangle that has two sides of equal length.

Now side PQ=QR, so this is a isosceles triangle

Have a great day

3 0

3 years ago

10. In a class A of 25 students, 20 passed with 60% or more marks; in another class B of 30 students, 24 passed with 60% or more

shepuryov [24]

Answer:

class b

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the product of 25 x 24

Vanyuwa [196]

Answer:

600

Step-by-step explanation:

hope it helps :)

7 0

2 years ago

Read 2 more answers