Statements
2. right triangle
3. PQ = OP
5. ∆ONP = ∆PQO
Reasons
1. Given
4. Given
5. SAS
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The answer is <em>x</em>=5.
Solve for <em>x</em>. (The question mark should be <em>x</em>.)

Answer:
57.3°
Step-by-step explanation:
A 25 feet ladder leans against a building.
The ladder's base is 13.5 feet from the building.
The ladder, the wall of the building and the ground form a right-angled triangle of:
Hypotenuse = 25 feet
Base = 13.5 feet
We are to find the angle of elevation which the ladder makes with the ground (or rather the angle created by hypotenuse and base)
Let's say the angle = X°
According to a trigonometric equation;
cos X° = adjacent side ÷ hypotenuse =
= 0.54
= 57.5=3° (Answer rounded up to nearest one decimal place).
∴ The angle of elevation = 57.3°
Answer:
The surface area that Sergio needs to frost on each cake is 3,238 square centimeters
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The surface area of the cylindrical cake is equal to the lateral area plus the area of the top of cylinder (remember that the bottom of the cake does not need frosting)
so

we have
---> the radius is half the diameter


substitute the given values


Round up to the nearest whole number

therefore
The surface area that Sergio needs to frost on each cake is 3,238 square centimeters
Answer:

So we want to find this probability:

And using the normal standard distirbution or excel we got:

Step-by-step explanation:
Let X the random variable that represent the age of men married of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
The sample size is n =66. We can use the z score to solve this problem:
If we find the z score for 25 we got:

So we want to find this probability:

And using the normal standard distirbution or excel we got:
