Answer:
The distance is 5.20m
Step-by-step explanation:
Here, we want to get the height of the ladder
To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle
The angle here faces the height we want to calculate
This height is known as the opposite
What we have is the adjacent
Now, the trigonometric identity that relates the opposite and the adjacent is the tan
The tangent of an angle is the ratio of the opposite to the adjacent
Mathematically;
tan 60 = h/3
h = 3 tan 60
h = 5.20 m
The ladder is at a height of 5.20 m above the ground
Answer:
62,5721
Step-by-step explanation:
12,01 × 5,21
= 62,5721
Answer:
2406.17 cm³
Step-by-step explanation:
The following data were obtained from the question:
Height (h) = 24.4 cm
Base length (L) = 17.2 cm
Volume (V) =?
Next, we shall determine the base area of the pyramid. This can be obtained as follow:
Base length (L) = 17.2 cm
Base area (B) =.?
B = L × L
B = 17.2 × 17.2
B = 295.84 cm²
Finally, we shall determine the volume of the pyramid. This can be obtained as follow:
Height (h) = 24.4 cm
Base area (B) = 295.84 cm²
Volume (V) =?
V = ⅓Bh
V = ⅓ × 295.84 × 24.4
V = 2406.17 cm³
Thus, we volume of the pyramid is 2406.17 cm³
Answer:
1. A. 1
2. D. 
Step-by-step explanation:
Properties used:
- Power of a Power Property
- Product Property
- Quotient Property
- Zero Exponent Property
1. First, let's deal with the numerator.
can be turned into 
by using the Power of a Power Property.
And then use the Product Property, 
So now, our fraction is this: 
All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: 
or 
. Which then you plug the numbers in: 
. And since we know that in Zero Exponent Property: 
, we can see that 
. So either way, we get 1.
So the answer is 1, which is A
2. Power of a Power Property: 
So plug the numbers in the property: 
=
Product Property: 
We plug the equation in with turned into ---
So the answer is , which is D
I hope this helps!
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Have a great day!
If I had to choose a business to start off with I would start a lemonade stand With cookies
First let's do the lemonade Side Let's say I put $100 into the business And it cost a dollar per lemon $5 for 10 lb of sugar It takes about five lemons about and a pound of sugar to make one batch that makes about 20 cups of Lemonade Each cup of lemonade for cost me roughly $0.50 I would then sell Each cup of lemonade for $0.75 and make a 5 profit Now let's talk about the cookie portion of the business You have to get milk flour sugar and salt Together that cost maybe $10 per batch Of 50 cookies Which cost roughly $0.20 to Make You can sell them at with a profit of $0.05 for $0.25 After $25 Prophet.So overall you will make roughly $30
