All categories

3 years ago

???add up the sides?????

Mathematics

2 answers:

CaHeK987 [17]3 years ago

8 0

Answer:

PR = 20

Step-by-step explanation:

The perimeter is the sum of the 3 sides, thus

4z + z + 3 + 3z + 2 = 45 ← simplify left side

8z + 5 = 45 ( subtract 5 from both sides )

8z = 40 ( divide both sides by 8 )

z = 5

PR = 4z = 4 × 5 = 20

qaws [65]3 years ago

8 0

Answer:

Step-by-step explanation:

Using the triangle perimeter formula [P=2(l) + 2(w) / 2]:

45 = 2 (z + 3) + 2 (3z + 2) / 2

45 = 2z + 6 + 6z + 4 / 2

45 = 8z + 10 / 2

45 = 4z + 5

40 = 4z

z = 10

4 (10)

You might be interested in

Each one of four people will request either Coke D Let X denote the number that request Coke, where the remainder request Sprite

34kurt

Answer:

a) E(x)=2.5 V(x)=1.59

b) E(R)=17 V(R)=6.36

c) The probability that, when the four make their orders, everyone gets what they ordered is P=0.66.

Step-by-step explanation:

a) The mean E(x) can be calculated as:

$E(x)=\sum^4_{i=0} p_ix_i\\\\E(x)=0.09*0+0.15*1+0.18*2+0.33*3+0.25*4\\\\E(x)=0.00+0.15+0.36+0.99+1.00\\\\E(x)=2.5$

The variance V(x) can be calculated as:

$V(x)=\sum^4_{i=0} p_i(x_i-\bar x)^2\\\\V(x)=0.09(0-2.5)^2+0.15(1-2.5)^2+0.18(2-2.5)^2+0.33(3-2.5)^2+0.25(3-2.5)^2\\\\V(x)=0.09*6.25+0.15*2.25+0.18*0.25+0.33*0.25+0.25*2.25\\\\V(x)=0.5625+0.3375+0.045+0.0825+0.5625\\\\V(x)=1.59$

b) The revenue can be expressed as:

$R=5*x+3*(4-x)$

Then, the expected value of R canbe expressed in function of x:

$E(R)=E(5x+3(4-x))=5E(x)+3(4-E(x))\\\\E(R)=5*2.5+3(4-2.5)=12.5+4.5=17$

The expected revenue is $17.

The variance of R is

$V(R)=V(5*x+3(4-x))=V(5x+12-3x)=V(2x+12)\\\\V(R)=V(2x)+V(12)=2^2V(x)+0=4*1.59\\\\V(R)=6.36$

c) In the case there are only 3 Cokes and 3 Sprites available, the only orders that can not be fullfilled are when X=0 (they order 4 Sprites) and X=4 (they order 4 Cokes).

The probability of these events is:

$P(x=0,x=4)=P(x=0)+P(x=4)=0.09+0.25=0.34$

So, the probability of everyoned getting what they ordered is:

$P=1-P(x=0,x=4)=1-0.34=0.66$

The probability that, when the four make their orders, everyone gets what they ordered is P=0.66.

3 0

4 years ago

X+y=3 x-y=1 find the Find the determinants

Mkey [24]

Answer:

D = -2
Dx = -4
Dy = -2

Step-by-step explanation:

System Determinant

The determinant of the system is the determinant of the matrix of coefficients:

$D=\left|\begin{array}{cc}1&1\\1&-1\end{array}\right|=(1)(-1)-(1)(1)=-2$

X Determinant

This is the determinant of the matrix with the x-coefficients replaced by the constants.

$D_x=\left|\begin{array}{cc}3&1\\1&-1\end{array}\right|=(3)(-1)-(1)(1)=-4$

Y Determinant

This is the determinant of the matrix with the y-coefficients replaced by the constants.

$D_y=\left|\begin{array}{cc}1&3\\1&1\end{array}\right|=(1)(1)-(3)(1)=-2$

_____

This problem didn't ask, but the solution is ...

x = Dx/D = -4/-2 = 2

y = Dy/D = -2/-2 = 1

(x, y) = (2, 1)

3 0

3 years ago

Solve the equation. Then check your solution.

motikmotik

Answer:

D -13/35 ( negative 13/35 )

Step-by-step explanation:

4/5 + x = 3/7

Convert to equivalent fractions with a common denominator:

28/35 + x = 15/35

Subtract 28/35 from both sides

x = - 13/35

3 0

3 years ago

Please help me! thanks in advance trying to raise my grade

Igoryamba

Answer:

x=53

Step-by-step explanation:

In the attachment, it shows how the angle 53 is vertically opposite to the one in blue. Which happens to be corresponding, therefore equal, to the angle x.

Have a nice day!!! :-)

KA

3 0

3 years ago

Read 2 more answers

Convert the following into fractions in their simplest form

sladkih [1.3K]

Answer:

1/10

13/100

4/5

12/25

3/10

63/100

3/5

51/200

2/9

5/11

To prove the last 2 recurring ones:

0.222222... = x

10x = 10 * 0.22222... = 2.222222....

Notice how the decimal part of 10x is the same as for x:

10x - x = 2.2222222... - 0.222222... = 2

10x - x = 9x = 2

x = 2/9

Same procedure for the other one but times by 100 instead:

x = 0.454545...

100x = 45.454545...

100x - x = 45.454545... - 0.454545... = 45

100x - x = 99x = 45

x = 45/99 = 5/11

3 0

3 years ago