can somebody help with this? i have less than an hour to do it lol .. it has to do with z-scores 40pts

What is the length of side AD?. . . 6 cm. 8.5 cm. 10.4 cm. 12 cm

ludmilkaskok [199]

In triangle ABC, AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x) tan30 =(24−x)/√3


In triangle ADB using Pythagorean Theoremx2+((24−x)/√3)2=12^2x2+(24−x)^2/3=12^23x2+(24−x)^2=4324x2−48x+576=4324x2−48x+144=0x2−12x+36=0
x1 = x2 =6

AD = AC - DC = 24- (24-x) = 6

5 0

3 years ago

Read 2 more answers

Could someone help me please

Alexxx [7]

1. 3x+9-9=18-9

3x=9

x=3

2. 4x-12=20

4x-12+12=20+12

4x=32

x=8

3. x+0-0

x=0

4. x/2-2+2=9+2

x/2=11

(2)(x/2)=11(2)

x=22

5. 12x-21=3

12x-21+21=3+21

12x=24

x=2

6. 3x-15=18

3x-15+15=18+15

3x=33

x=11

7. 3x-25=14

3x-25+25=14+25

x=13

8. 3x+16=22

3x+16-16=22-16

x=2

9. 2x-8=2

2x-8+8=2+8

2x=10

x=5

10. 9x-18=9

9x-18+18=9+18

9x=27

x=3

11. x+0=0

x=0

12. 9x-8=19

9x-8+8=19+8

9x=27

x=3

If you want to check my answers

use substitution method by using the x into for each equation.

7 0

3 years ago

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Farmer Bill sold potatoes at the farm market. He sold a quarter to the first person, 4/9 of what was left to the second person,

mel-nik [20]

Answer: 120 lb of potatoes.

Step-by-step explanation:

Let the pounds of potatoes sold by farmer Bill = X lb

Fractional part sold to the first person = 1/4

Therefore 1/4 of X = 1/4 x X

= X/4 lb of potatoes.

No of potatoes left for sale = X - X/4

= ( 4x - x )/4

= 3x/4 lb.

Fractional part sold to the second person out of the reminder = 4/9

Therefore 4/9 of 3x/4 = 4/9 x 3x/4

= x/3 lb of potatoes.

Amount of potatoes left for sale = 3x/4 - x/3

Resolve into fraction , we have = (9x - 4x)/12, because 12 is the LCM.

= 5x/12

Third buyer bought 4/5 of the left over = 4/5 of 5x/12

= x/3 lb of potatoes.

Amount of potatoes left = 5x/12 - x/3

Resolve in to fraction again taking 12 as the LCM = ( 5x - 4x )/12

= x/12 lb of potatoes .

Therefore, the left over was 10 lb .

To determine the value of x now which correspond to the amount of potatoes sold by Farmer Bill, we shall the equate the left to x/12 = 10

we now cross multiply to get the value of x x = 120 lb.

therefore the pound of potatoes sold by farmer Bill = 120 lb.

4 0

3 years ago

A town's population increases in one year from 50,000 to 58,000. If the population is growing linearly, at a steady rate, the

jolli1 [7]

Answer:

66,000

Step-by-step explanation:

If a relation is linear, then for equal changes in x there are equal changes in y. If in 1 year the population increases by 8,000, then in any 1-year period, the population will also increase 8,000. The population started at 50,000. In 1 year, it became 50,000 + 8,000 = 58,000. At the end of the second year, it will have increased by another 8,000. 58,000 + 8,000 = 66,000.

4 0

3 years ago

The isosceles triangle below has height AQ of length 3 and base BC of length 2. A point P may be placed anywhere along the line

eduard

The question is missing parts. Here is the complete question.

The isosceles triangle below has height AQ of length 3 and base BC of length 2. A point P may be placed anywhere along the line segment AQ.

What is the minimum value of the sum of the lengths of AP, BP and CP?

Answer: The sum is 4.73.

Step-by-step explanation: Height of a triangle is a perpendicualr line linking a vertex and its opposite side.

Because triangle ABC is isosceles, point Q divides the base in 2 equal parts:

BQ = CQ = 1

Suppose QP = x