Solve the equation. 36^6x-1 = 6^5x

Pleaase help! Find h. 11 in. h = ✓ [?] in. 14 in Enter

Aleksandr [31]

Answer:

$h=8.48\ \text{inches}$

Step-by-step explanation:

Given that,

Radius of cone, r = 7 inches

Slant height of the cone, l = 11 inches

We need to find the height of the cone. Let the height be h. Using trigonometry to find it as follows :

$h^2+r^2=l^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{11^2-7^2}\\\\h=8.48\ \text{inches}$

So, the height of the cone is equal to $8.48\ \text{inches}$ .

3 0

3 years ago

Determine whether n^2+20n+100 is a perfect square trinomial. Yes No

Black_prince [1.1K]

N²+20n+100 = (n+10)(n+10)
Yes is it a perfect square trinomial

7 0

3 years ago

Write an equation that represents the data in the table:

Nadya [2.5K]

Y = x + 12 or x = y - 12

5 0

3 years ago

Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,

Kazeer [188]

Answer: 2.66 × 10⁻¹³

Step-by-step explanation:

First, use the decay formula $A=A_oe^{kt}$ where

A is the final amount (amount left)
A₀ is the initial amount (amount you started with)
k is the rate of decay (you need to solve for this)
t is the time

Given:

A = 1/2(300) = 150
A₀ = 300
k = unknown
t = 28.8

$150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\$

Next, input the k-value and the new t-value to solve for A.

A = unknown
A₀ = 300
k = -0.0240676
t = 1440

$A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\$

5 0

4 years ago

Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and

Volgvan

Answer:

The correct answer is the last option, that is,

112 + 25m + 45 = 50 + 60m

Step-by-step explanation:

We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 112 + 45 + 25m

We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 50 + 60m

In order for amount of money to be equal in accounts of both the runners, we set up: 112 + 45 + 25m = 50 + 60m

Upon rewriting the left hand side using commutative law, we get:

112 + 25m + 45 = 50 + 60m

Therefore, we can see that the last option is the correct answer.

I hope this helped. I am sorry if you get this wrong.

4 0

3 years ago

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