What is the distance between the points (-2,-1) and (-2,4)? A. 0 B. 3 C. 5 D. 6

Lena [83]

The correct answer is A) $75.85.

A discount of 20% means that the cost is 80% of the original. 80%=80/100=0.8

0.8(129) = 103.20

A discount of 30% means that the cost is 70% of the amount before discount. 70%=70/100=0.7
0.7(103.20) = 72.24

A sales tax of 5% means that it is 105% of the amount pre-tax. 105%=105/100=1.05
1.05(72.24) ≈ 75.85

8 0

3 years ago

Jamie needs to build a fence around his garden, as illustrated by polygon ABCDEF on the coordinate grid below. If each unit repr

NNADVOKAT [17]

Answer:

C. 26 yards

Step-by-step explanation:

Jamie's fence total length = perimeter of the polygon

Perimeter of the polygon = AB + BC + CD + DE + EF + FA

AB, FA and DE can be worked accordingly as shown below:

AB = |-5 - 0| = 5 units

FA = |5 - 2| = 3 units

DE = |1 -(-2)| = 3 units

BC, CD, and EF can be calculated using the formula $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Distance between B(0, 5) and C(4, 2):

$BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$B(0, 5) = (x_1, y_1)$

$C(4, 2) = (x_2, y_2)$

$BC = \sqrt{(4 - 0)^2 + (2 - 5)^2}$

$BC = \sqrt{(4)^2 + (-3)^2}$

$BC = \sqrt{16 + 9} = \sqrt{25}$

$BC = 5 units$

Distance between C(4, 2) and D(1, -2)

$CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$C(4, 2) = (x_1, y_1)$

$D(1, -2) = (x_2, y_2)$

$CD = \sqrt{(1 - 4)^2 + (-2 - 2)^2}$

$CD = \sqrt{(-3)^2 + (-4)^2}$

$CD = \sqrt{9 + 16} = \sqrt{25}$

$CD = 5 units$

Distance between E(-2, -2) and F(-5, 2):

$EF = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$E(-2, -2) = (x_1, y_1)$

$F(-5, 2) = (x_2, y_2)$

$EF = \sqrt{(-5 -(-2))^2 + (2 -(-2))^2}$

$EF = \sqrt{(-3)^2 + (4)^2}$

$EF = \sqrt{9 + 16} = \sqrt{25}$

$EF = 5 units$

Total length of the wall in yards = 5 + 5 + 5 + 3 + 5 + 3 = 26 yards

4 0

3 years ago

Which conditional statement has a false converse?

exis [7]

Consider the converses:

a) If two planes have no points in common, then they are parallel. (true)

b) If a point lies on the y-axis, then it has x-coordinate 0. (true)

c) If two angles have the same measure, then they are congruent. (true)

d) If a figure has four sides, then it is a square. (FALSE) (A figure with 4 sides may not even be a plane figure.)

8 0

4 years ago

Use the law of cosines to find the value of cos theta. round your answer to two decimal places.

blondinia [14]

Use the law of cosines to find the value of cos theta. round your answer to two decimal places.
The opposite side of the theta is 5.7. Adjacent to the theta is 9.8.
Hypotenuse is 10.2

A. 0.35
B. 0.23
☆☆☆☆☆☆☆☆☆☆☆☆☆☆C. 0.84
D. 1.23

7 0

3 years ago

Read 2 more answers

AABC ~ AQRS

Tasya [4]

Answer:

Step-by-step explanation:

6

3 0

3 years ago