The equation for the area of a triangle is A= b*h /2. So, plug in your known variables, and you get 270in^2= b*30 /2. First you multiply by 2 to cancel out the division for 2, which gets you 540= b* 30. To get "b" by itself, divide both sides by 30, giving you 18=b.

To check this, plug in your new known variable, as 270= 18* 30 /2. This will equal as 270=270, confirming 18in as the correct measurement.

3 0

3 years ago

(sinx-1)(sinx+cos^2x) multiply and simplify

sveta [45]

$\bf [sin(x)-1][sin(x)+cos^2(x)]\\\\
-------------------------------\\\\
sin^2(x)+sin(x)cos^2(x)-sin(x)-cos^2(x)
\\\\\\\
[sin^2(x)-cos^2(x)]+[sin(x)cos^2(x)-sin(x)]
\\\\\\
-[cos^2(x)-sin^2(x)]-[sin(x)-sin(x)cos^2(x)]
\\\\\\
-[\stackrel{cos(2x)}{cos^2(x)-sin^2(x)}]-sin(x)\stackrel{sin^2(x)}{[1-cos^2(x)]}
\\\\\\
-cos(2x)-sin(x)sin^2(x)\implies -cos(2x)-sin^3(x)$

7 0

3 years ago

3a+2b=193 Find a and b

galina1969 [7]

Hope this made sense

6 0

3 years ago

A Cylinder has a base diameter of 4cm and a height of 2cm. What is it’s volume in cubic cm, to the nearest tenths place

s2008m [1.1K]

Answer: The answer is v=25.1 cm³

Step-by-step explanation:

b=4

h= 2

r= 4/2 r =2 radius is half of the diameter

V=πr²h

v= π(2)²2

v= 25.132741228718

v=25.1 cm³

6 0

2 years ago