1. solve the following pair of simultaneous equations.

2 answers:

6 0

From equation 1 e=23-6f
sub 1 into 2. 2(23-6f)-f=7
46-12f-f=7
46-7-12f-f=0
39-11f=0
39=11f
then u divide both side by 11
therefore f=3.55
subtitude f in 1
6(3.55)+e=23
21.3+e=23
e=23-21.3
e=1.7

Arisa [49]3 years ago

4 0

1.7 is the correct answer.

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The perimeter of rectangle ABCD is 256 inches. Its length is 3 times as long as its width. Find the area of triangle ABC.

Oliga [24]

Answer:

$\large\boxed{A_\triangle==1,536\ in^2}$

Step-by-step explanation:

The formula of a perimeter of a rectangle:

$P=2(l+w)$

The formula of an area of a rectangle:

$A=lw$

l - lenght

w - width

We have l = 3w and the perimeter P = 256 in. Substitute:

$2(3w+w)=256$ divide both sides by 2

$4w=128$ divide both sides by 4

$w=32\ in\to l=3(32)=96\ in$

Calculate the area of a rectangle:

$A=(96)(32)=3,072\ in^2$

The triangle ABC is the half of the rectangle. Therefore the area of a triangle ABC is:

$A_\triangle=\dfrac{3,072}{2}=1,536\ in^2$

5 0

3 years ago

Determine the area under the standard normal curve that lies to the right of the z-score 0.48 and to the left of the z-score 0.7

pychu [463]

Answer:

The area lies to the right of the z-score 0.48 means all the values greater than it. This can be calculated on a graphing calculator using the function normCdf, where

Lower bound = 0.48
Upper bound = 9999
Mean = 0
Standard deviation = 1

The result would be normCdf(0.48,9999,0,1) ≈ 0.315614

The area lies to the left of the z-score 0.79 means all the values less than it. This can be calculated on a graphing calculator using the function normCdf, where