Answer:
16 ft
Step-by-step explanation:
Based on the situation above, it forms into a right triangle. Therefore we can apply the Pythagorean Theorem. We will use the formula below:
c = √( a² + b²)
In the problem above, the ladder acts as the hypotenuse denoted by c. It has a length of 20 ft. While the base denoted by b is 12 ft. Therefore, we need to solve for a. We will derive the formula above.
c² = a² + b²
a² = c² - b²
a = √( c² - b² )
a = √( 20² - 12² )
a = 16
The unit is in ft.
Correct me if I'm wrong. I hope it helps.
Answer:
Simplifying
4u = 10.24
Solving
4u = 10.24
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Divide each side by '4'.
u = 2.56
Simplifying
u = 2.56
Step-by-step explanation:
<span>32 · 43 = 1376
this is your answer</span>
The length is 14 how I know it.
you don't know the value of the length so you will represent length by "X", you know you get the volume multiplying height by width by length so you multiple all the values.
6×10(X)=840
10(X)=140
X=14
if you do not know this process in detail leave it in the comments and I'll explain it, for now the value of length will be 14
1) Data:
Meal calories consumed
Breakfast 400 cal
Lunch 350 cal
Dinner x
------------------
Total 400 + 350 + x = 750 + x
2) Equation: <span>
She consumes 2/3 of her daily calories at dinner => (2/3)[750+x] = x
3) Analyze each statement:
</span><span>a) Lena
consumed 1500 cal at dinner.
Solve the equation to find if the statement is true:
</span>
<span><span>(2/3)[750+x] = x</span>
2(750+x) = 3x
1500 + 2x = 3x
1500 = 3x - 2x
x = 1500
Conclusión: TRUE stament.
b) Do you equation 2/3 (x+400+350)=x can be
used to model the situation.
That is the same equation that I found above.
Conclusion: TRUE statement
c) Lena consumed 500 cal at dinner.
She consumed (2/3) * 1500 = 500 cal
Conclusion: TRUE statement
d) Lena
consumed 1000 cal at dinner.
No, we calculated that she consumed 500 cal at dinner.
Conclusion: FALSE statement
e) The equation 2/3(x)=x(400+350) can be used
to model the situation.
No: (2/3) x = 500 and x(400+350) = 500*750 = 375,00, which are not equal.
Conclusion: FALSE statement.
f) The equation 2/3x(400+350)=x Can’t be used to
model the situation
No: in that equation the variable x cancels out because it appears a factor at both sides.
</span>Conclusion: TRUE statement
