In geometry, it would be always helpful to draw a diagram to illustrate the given problem.
This will also help to identify solutions, or discover missing information.
A figure is drawn for right triangle ABC, right-angled at B.
The altitude is drawn from the right-angled vertex B to the hypotenuse AC, dividing AC into two segments of length x and 4x.
We will be using the first two of the three metric relations of right triangles.
(1) BC^2=CD*CA (similarly, AB^2=AD*AC)
(2) BD^2=CD*DA
(3) CB*BA = BD*AC
Part (A)
From relation (2), we know that
BD^2=CD*DA
substitute values
8^2=x*(4x) => 4x^2=64, x^2=16, x=4
so CD=4, DA=4*4=16 (and AC=16+4=20)
Part (B)
Using relation (1)
AB^2=AD*AC
again, substitute values
AB^2=16*20=320=8^2*5
=>
AB
=sqrt(8^2*5)
=8sqrt(5)
=17.89 (approximately)
Answer:
It will take Madeline 13 minutes to heat her hot tub from 93° to 103°
Step-by-step explanation:
Hot tub is 70.15 cubic feet
70.15 cubic feet = 524.76 gallons
n is the number of sides of the shape, so apothem will always be
side length/2tan(30) on a regular hexagon
Apothem comes out to 2.598 multiplied by perimeter yields 23.3827 (area of base)
The answer is they can remain playing for 2,401 minutes because 2^4 =16 so you do 7^4 as well and that gives u your answer
Answer: Cole and his sister Chloe will take 81 minutes to clean the whole house.
Step-by-step explanation:
Total rooms in the house = 9
Total persons to clean the house = 2 (Cole and his sister Chloe)
Time taken by 1 person to clean one=18 minutes
Time taken by 2 persons to clean one room together=18 divided by 2 = 9 minutes
Time taken by 2 persons to clean 9 rooms (which is the total number of rooms in the house)=9 multiply 9 = 81 minutes
therefore, they will take 81 minutes to clean the whole house.
268.082573106329. Hope this helps. Tell me if this is correct.
