They have not changed. They are still parallel.
Answer:
a. 3
b. 2.9
Step-by-step explanation:
![\sqrt[3]{25} ≈2.92](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B25%7D%20%E2%89%882.92)
a. An integer is a whole number. the nearest whole number to 2.92 is 3.
b. 2.92 rounds down to 2.9 when rounding the the tenths' place.
Cara’s total earnings in a month in which she sells $40,000 worth of merchandise is $ 4200
<h3><u>
Solution:</u></h3>
Given that Cara earns a base pay of $1,800 per month at a car dealership plus a commission of 6% of her sales
Let us first calculate commission earned from selling $40,000 worth of merchandise
commission earned from selling $40,000 = 6 % of $ 40,000


Also given that Cara earns a base pay of $ 1800 per month
So Cara’s total earnings in a month in which she sells $40,000 worth of merchandise is calculated by adding commission earned $ 2400 to base pay $ 1800 per month
<em>Cara’s total earnings in a month = base pay + commission earned</em>
Cara’s total earnings in a month = $ 1800 + $ 2400 = $ 4200
Thus the total earning of Cara in that month is $ 4200
Answer: The length of the ladder is 20 feet.
Step-by-step explanation:
Given : A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 8 feet less than the length of the ladder.
Mathematically,
Let x be the length of the ladder then
Distance from ground to the top of the ladder = x- 8
If distance from the bottom of the ladder to the building is 16 feet.
Since ground makes right angle with building , so the triangle made by ladder should be a right triangle.
By Pythagoras theorem of right triangle , we hae

![\Rightarrow\ x^2=(x-8)^2+16^2\\\\\Rightarrow\ x^2=x^2+64-16x+256\ [\text{Using identity :} (a-b)^2=a^+b^2-2ab]\\\\\Rightarrow 0=-16x+320\\\\\Rightarrow\ 16x=320\\\\\Rightarrow\ x=\dfrac{320}{16}=20](https://tex.z-dn.net/?f=%5CRightarrow%5C%20x%5E2%3D%28x-8%29%5E2%2B16%5E2%5C%5C%5C%5C%5CRightarrow%5C%20x%5E2%3Dx%5E2%2B64-16x%2B256%5C%20%5B%5Ctext%7BUsing%20identity%20%3A%7D%20%28a-b%29%5E2%3Da%5E%2Bb%5E2-2ab%5D%5C%5C%5C%5C%5CRightarrow%200%3D-16x%2B320%5C%5C%5C%5C%5CRightarrow%5C%2016x%3D320%5C%5C%5C%5C%5CRightarrow%5C%20x%3D%5Cdfrac%7B320%7D%7B16%7D%3D20)
Hence, the length of the ladder is 20 feet.
1 L = 1000ml
600/1000
= 6/10
= 3/5