Answer:
Given: BD is an altitude of △ABC .
Prove: sinA/a=sinC/c
Triangle ABC with an altitude BD where D is on side AC. Side AC is also labeled as small b. Side AB is also labeled as small c. Side BC is also labeled as small a. Altitude BD is labeled as small h.
Statement Reason
BD is an altitude of △ABC .
Given △ABD and △CBD are right triangles. (Definition of right triangle)
sinA=h/c and sinC=h/a
Cross multiplying, we have
csinA=h and asinC=h
(If a=b and a=c, then b=c)
csinA=asinC
csinA/ac=asinC/ac (Division Property of Equality)
sinA/a=sinC/c
This rule is known as the Sine Rule.
So we are using the denominator 20.
1/2 of 20 would be 10.
So, out of 20 we multiply it by 10 since it is our numerator.
Now, we have converted it to 100/200.
Freshman : 100 students
Sophomores : 10 students
Juniors : 20 students
Seniors : 70 students
Notice the picture below
the lateral area, or just the area of the sides, well, the sides are really just 4 triangles, so just get the area of each, and sum them up, that's the lateral area
Hello and Good Morning/Afternoon
<u>Let's take this problem step-by-step</u>:
<u>To find the solution to a system of equation</u>
⇒ <em>must set</em> the equations equal to each other
⇒ and solve
<u>Let's put that into action</u>
- At this point, to make the whole thing equal zero
⇒ either 'x+3' or 'x-3' equals zero
⇒ must find 'x' that satisify either equation
<u>Let's find the corresponding f(x) to each x-value</u>
<u>Therefore the solutions are (3,6) and (-3,18)</u>
<u />
<u>Answer: (3,6), (-3,18)</u>
<u></u>
Hope that helps!
#LearnwithBrainly
Answer:
<h3>The length is 35cm</h3><h3>The width is 5cm</h3><h3 />
Step-by-step explanation:
Area of a rectangle = l × w
where
l is the length
w is the width
The length is seven times the width is written as
l = 7w
Area of the rectangle = 175 cm²
7w × w = 175
7w² = 175
Divide both sides by 7
w² = 25
Find the square root of both sides
w = √25
w = 5cm
But l = 7w
l = 7(5)
l = 35cm
The length is 35cm
The width is 5cm
Hope this helps you.
