see the attached figure to better understand the problem
Step 1
<u>Find the value of c</u>
we know that
Applying the Pythagorean Theorem
we have
substitute the values in the formula
Step 2
<u>Find the value of angle A (α)</u>
we know that
in the right triangle ABC
Step 3
<u>Find the angle B (β)</u>
we know that
in the right triangle ABC
angle A and angle B are complementary angles
so
A+B=90
solve for B
B=90-A-------> B=90-60.48-----> B=29.52°
therefore
<u>the answers are</u>
a) the measure of side c is 580.36 mm
b) the measure of the angle α is 60.48°
c) the measure of the angle β is 29.52°
First of all we have to find the cost of a book then multiply it by 5 :
$ 11.20 ÷ 8 = $ 1.4
$ 1.4 × 5 = $ 7
Thus 5 books have a cost of $ 7 .
<span>the question does not have the options, but this does not limit its resolution
</span>
we know that
volume of the cone=(1/3)*pi*r²*h
where
r is the radius of the cone
h is the height of the cone
r=12 ft
Volume=1506.96 ft³
h=?
clear the variable h
v=(1/3)*pi*r²*h-----> multiply by 3
3*v=pi*r²*h----> divided by (pi*r²)
h=3*v/(pi*r²)------> h=3*1506.96/(pi*12²)----> h=9.99 ft---> h=10 ft
the answer is
h=10 ft
Answer:
- notice: temperature rises quickly at sunrise, and drops before sunset
- wonder: whether this location is shaded by mountains later in the day
Step-by-step explanation:
<u>notice</u>
The temperature starts off below zero in the early morning and stays cold until the sun comes up. Then it warms rapidly to an above zero temperature that peaks in early afternoon. Once the sun gets lower, the temperature starts cooling off again. (The daily temperature range of 25-27 degrees is pretty typical for partly-cloudy sky conditions and stable weather.)
<u>wonder</u>
We wonder if this isn't a location that is on the east- or north-side of a mountain, or in a mountain valley, where the sun hits it early and is shaded later in the day. (The topo map attached seems to show it is in such a location.)
Using proportions, it is found that the value of x is of x = 5, hence option A is correct.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Since the triangles are similar, the lengths are proportional. Researching the problem on the internet, we have that the proportions are given as follows:
- A side with a length of x is proportional to a side with length 25.
- A side with a length of 3 is proportional to a side with length 15.
Hence:
Simplifying the denominators:
x = 5.
More can be learned about proportions at brainly.com/question/24372153
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