Answer:
x = 3√7
Step-by-step explanation:
From the right triangle given in the picture,
Altitude or height of the triangle (AD) = x
Base or hypotenuse of the given triangle (BC) = 16
Length of segment BD = 16 - 7 = 9
By using geometric mean theorem in the given triangle,

(AD)² = (BD)(CD)
x² = 9×7
x = √63
x = 3√7
Answer:
H - 6x^7y^15
Step-by-step explanation:
Volume of a rectangular prism (box) is l x w x h
3x^2y^4 * 4x^2y^5 * 1/2x^3y^6
= 6x^7y^15
Step-by-step explanation:
the union of two sets is a new sets that contains all of the elements that are in at least one or two sets and written as (A U B)
while intersection of two sets is a new set that contains all of the elements in both sets and written as (A n B)
Answer:
<em>The cost price of each mango was $3</em>
Step-by-step explanation:
The man bought 500 mangoes, but 1/4 of them were rotten. There were 1/4*500 = 125 rotten mangoes, thus the number of mangoes he sold is
500 - 125 = 375 mangoes
Selling them at $3.36 each, he had revenue of
375*3.36=$1,260
That amount includes the 12% profit, that is, it's 112% of the cost price, thus the cost price of all mangoes is
1,260 / 112 * 100 = $1,125
The price of each mango was $1,125 / 375 = $3
The cost price of each mango was $3
Answer:
79+94+91+92+test5)/5=90
The lowest score have to be 94
Step-by-step explanation:
Our goal is gona be to have an average of 90, it can be higher but we are going to use this.
For average the equation is
(test1+test2+test3+test4+test5)/5=average
We know the result for the first 4 tests
Test 1=79
Test 2=94
Test 3=91
Test 4=92
But we dont know test 5
(79+94+91+92+test5)/5=average
Our goal for the average is 90
(79+94+91+92+test5)/5=90
79+94+91+92+test5=90*5
test5=450-79-94-91-92
Test5=94