Solve for x and y

Both questions please ❤️

Answers

Answer 1

Answer:

Answer:

1. $x=18, y=6√(10)$

2. x=108, y=180

Step-by-step explanation:

The height of the right triangle drawn to the hypotenuse is the geometric mean of two segments of the hypotenuse (two legs' projections)

1. Use this property, so

$CD^2=AD\cdot BD\n \n6^2=2\cdot x\n \n36=2x\n \nx=18$

Consider right triangle BCD. By the Pythagorean theorem,

$BC^2=BD^2+CD^2\n \ny^2=18^2+6^2\n \ny^2=324+36\n \ny^2=360\n \ny=√(360)=6√(10)$

2. Consider right triangleGM*. By the Pythagorean theorem,

$G*^2=GM^2+M*^2\n \n240^2=GM^2+192^2\n \nGM^2=240^2-192^2=(240-192)(240+192)=48\cdot 432=144^2\n \nGM=144$

Use this property to find x:

$GM^2=192\cdot x\n \n144^2=192\cdot x\n \nx=(144^2)/(192)=108$

Consider right triangle GMCup. By the Pythagorean theorem,

$y^2=x^2+GM^2\n \ny^2=108^2+144^2\n \ny^2=32,400\n \ny=180$

Related Questions

At t=2 hours, the populations of bacteria colony was 456 and at 4.2 hours, the population was 988. At what time can we expect the population to be 8700?
This math has letters.
What is this answer?????
a rectangle has an area of 30 square meters reminder of 34 meters what are the dimensions of the rectangle
The ptoduct of two rational numbers will always equal a rational number. A true. B false

What is the answer of 9m-14= -8

Answers

$9m-14= -8 \ \ \ | +14 \n \n9m -14 + 14=-8+14 \n \n 9m = 6 \ \ /:9 \n \nm=(6)/(9)\n \nm=(2)/(3)$

$9m-14=-8$
$9m-14+14=-8+14$
$(9m)/(9)=(6)/(9)$
$x=(6)/(9)$

What is the value of 3 in 3,538

Answers

Well, one of them represents 3,000
and the other one represents 30 .
You haven't told us which one
you're interested in.

chris is on a vacation at a lake house for the weekend and decided to rent a canoe for the day. they charge $10 service free plus $38 per hour and he can spend at most $200 how many hours can he rent the canoe

Answers

10 +38h < =200

subtract 10 from each side

38h < =190

divide by 38

h<=5

Answer: They can rent at most 5 hours

$200 - the $10 fee leaves you with $190 to spend with $38 per hour

divide 190 by 38 to get 5

you can rent the canoe for 5 hrs

What is the factorization of the trinomial below? 2x^2 +11x+15

Answers

Answer:

(2x+5)(x+3)

Step-by-step explanation:

2x^2+11x+15

(2x+5)(x+3)

Answer:

(2x+5)(x+3)

Step-by-step explanation:

When a number is a multiple of 6, what are the possible values for the ones digits?

Answers

I would do this by first listing the multiples of 6 until I start to see a pattern with the one's digit.
6x0=0
6x1=6
6x2=12
6x3=18
6x4=24
6x5=30
6x6=36
6x7=42
6x8=48
...
The digits in bold are the one's digits so those are the only ones we really care about. If you list just them it looks like: 0,6,2,8,4,0,6,2,8
Notice how the first set of 5 numbers seems as though it repeats in the 6th, 7th, and 8th numbers. This probably means the pattern continues infinitely so the first 5 numbers are all the one's digits that can come from multiples of 6. Thus your answer is: 0,6,2,8,or 4

An artificial lake is in the shape of a rectangle and has an area of 9/20 square mile. The width of the lake is 1/5 the length of the lake. What are the dimensions of the lake?