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natka813 [3]
4 years ago
6

A windstorm Knocks a pole over, forming a slight angle with the ground. The pool is 18 m tall, and the top of the pool is now 15

m above the ground. What angle does the polenow form with the ground
Mathematics
1 answer:
ivolga24 [154]4 years ago
5 0

Answer:

Step-by-step explanation:

Looking at the scenario, a right angle triangle is formed.

The length of the pole represents the hypotenuse of the right angle triangle.

The distance from the top of the pole to the ground represents the opposite side of the right angle triangle.

To determine the angle formed by the pole and the ground, we would apply we would apply the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin θ = 15/18 = 0.833

θ = Sin^-1(0.833)

θ = 56.4°

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Sodium - 24 has a hourly decay rate of 5%
allsm [11]

Answer:

The amount of sodium- 24 remain after 90 hours of decay is 8.90 gram

Step-by-step explanation:

Given as :

The amount of sodium-24 = 900 gram

The decay rate of sodium is 5 %

The time period for its decay  = 90 hours

Final value of sodium -24 = initial value \times  (1 - \frac{Rate}{100})^{Time}

Or, Final value of sodium -24 = 900 gram \times  (1 - \frac{5}{100})^{90}

Or, Final value of sodium -24 = 900 g × (0.95)^{90}

Or,  Final value of sodium -24 = 900 g × (9.88)^{-3}

∴ Final value of sodium -24 = 8.899 gram

Hence The amount of sodium- 24 remain after 90 hours of decay is 8.90 gram    Answer

5 0
3 years ago
Which expression is equivalent to (5-2i)^2-i^3 where i^2=-1?
mr_godi [17]

\text{use:}\\(a-b)^2=a^2-2ab+b^2\\\\(5-2i)^2=5^2-2\cdot5\cdot2i+(2i)^2=25-20i+2^2i^2\\\\=25-20i+4(-1)=25-20i-4=21-20i\\\\i^3=i^2\cdot i=(-1)i=-i



(5-2i)^2-i^3=21-20i-(-i)=21-20i+i=21-19i

8 0
4 years ago
Help i’m begging plsss
olga_2 [115]

Answer:

x=8

Step-by-step explanation:

Given

AB||CD

\angle ABC = 5x + 50

\angle BCD = 7x + 34

Required

Find x

If AB||CD i.e. If AB is parallel to CD, then

\angle ABC = \angle BCD

Substitute values for ABC and BCD

5x + 50 = 7x + 34

Collect Like Terms

5x - 7x = -50 + 34

-2x = -16

Multiply through by -\frac{1}{2}

-\frac{1}{2} * -2x = -16 * -\frac{1}{2}

\frac{1}{2} * 2x = 16 * \frac{1}{2}

\frac{2x}{2} = \frac{16}{2}

x = \frac{16}{2}

x=8

3 0
3 years ago
A rectangular equation that is a function will be a function in any coordinate system. true or false ?
Andru [333]

Answer:

True.

Step-by-step explanation:

In this true or false question, the answer is true.

Hope this helps!

7 0
2 years ago
What is the HCF of two consecutive numbers?
Luba_88 [7]

Answer:  The HCF o two consecutive numbers is always one.

Step-by-step explanation: The reason behind this is that the two consecutive numbers do not have any common factor other than 1. Hence 1 becomes the highest common factor between two consecutive numbers

please mark brainliest

6 0
3 years ago
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