Answer:
359.1
Step-by-step explanation:
100 - 20.2 is 79.8
79.8 x 4.5 is 359.1
therefore it is 359.1
Answer:
13 ft
Step-by-step explanation:
8(13.3) + 2(23.8) + 12.3 = 166.3
179.3 - 166.3 = 13
Answer:
x=20
Step-by-step explanation:
The Pythagorean theorem is
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse.
The legs are x and 15 and the hypotenuse is 25
x^2 + 15^2 = 25^2
x^2 +225 = 625
Subtract 225 from each side
x^2 +225-225 = 625-225
x^2 = 400
Take the square root of each side
sqrt(x^2) = sqrt(400)
x = 20
The answer is
Final result :
x - 2
Step by step solution :
Step 1 :
1
Simplify —
3
Equation at the end of step 1 :
2 1
((—•x)-7)+((—•x)+5)
3 3
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
5 5 • 3
5 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x + 5 • 3 x + 15
————————— = ——————
3 3
Equation at the end of step 2 :
2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 3 :
2
Simplify —
3
Equation at the end of step 3 :
2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 4 :
Rewriting the whole as an Equivalent Fraction :
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
7 7 • 3
7 = — = —————
1 3
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
2x - (7 • 3) 2x - 21
———————————— = ———————
3 3
Equation at the end of step 4 :
(2x - 21) (x + 15)
————————— + ————————
3 3
Step 5 :
Adding fractions which have a common denominator :
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(2x-21) + (x+15) 3x - 6
———————————————— = ——————
3 3
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
3x - 6 = 3 • (x - 2)
Final result :
x - 2
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Hope This Helps! :)
Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.
Let AD=x, Since given AB=3
AD+DB=3
x+DB = 3
DB = 3-x
Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem
Since given AD=BC,let us plugin BC=x in above step.
6x=11
x=
Now we know AD=x= and given CD=√2.
Let us apply Pythagoras theorem for ΔACD
= 2.315cm
