Answer:
32.5 feet
Step-by-step explanation:
This situation forms a right triangle. We are given the distance from the base of the tower (long leg of the triangle) and are asked to find the height (short leg of the triangle).
With this information, we can use the tan ratio, opposite over adjacent, to find the height of the tower.
tan 18 = 
Multiply each side by 100:
(100) tan 18 = x
Simplify and round to the nearest tenth:
32.49 = x
32.5 = x
So, the height of the tower is approximately 32.5 feet
Answer:
Step-by-step explanation:
I think in this question we have to find slope, if so, its y = 10x.
to find the slope just pick two numbers, i chose (2,20) and (7,70) and then put them in the slope formula y2-y1/x2-x1. That gave me 10. I hope its correct. :)
Answer:
-2
Step-by-step explanation:
Let x be the unknown value
Log₆ ( 1/36) = x
( 1/36) = 36⁻¹ = (6²)⁻¹ = 6⁻²
Log₆ ( 1/36) = Log₆
6⁻² = -2 Log₆
6
Log₆
6 = 1
-2 Log₆
6 = -2(1) = -2
Hey there!
Let's first simplify this expression using our rules of exponents.
We know that:
1)
And:
2)
Finally:
3)
One more:
4)
Now, we can simplify the top. Using our rule number 1<em />, we know we can just multiply the exponents to get 7^12. On the bottom, using our rule number 2, we know we can add out exponents to also get 7^12.
Without even simplifying the powers, we know that everything over itself if one. Therefore, in our answer choices, we're looking for everything not equal to one.
For the 7^12/7^12, we know that's what we just got so it equals one. For the 1, well, one equals one. For the next one, referring to our last rule, 4, anything to the power of 0 equals one, therefore that's also equal to one.
Now for our final answer choice. If we take another look at rule number 3, we know we have to subtract the exponent at the bottom from the one at the top because the exponents have the same base. That gives us 7^-24, and that surely does not equal one.
Therefore, your answer is:
Hope this helps!
Answer:
solution given:
volume of lower one[V1]=l×b×h=1.5×0.5×0.5=0.378m³
volume of upper one [V2]=l×b×h=1×0.5×(0.75-0.5)=
0.125m³
total volume=V1+V2=0.378m³+0.125m³=0.503m³
0.503m³ is your answer
