Answer:
SURFACE ARE: 1068.14
Lateral surface area: 439.82
Step-by-step explanation:
A=2πrh+2πd=2×π×10×7+2×π×1000=1068.14
Al= 2drh=2×π×10×7≈439.82
Plug in y=3x+2 into the y in the second equation.
x + 2(3x+2) = 11
x + 6x + 4 = 11
7x + 4 = 11
7x = 7
x = 1
then, plug the x value into x in the first equation.
y = 3(1) + 2
y = 3 +2
y = 5
Answer:
34 degrees; 56 degrees
The measures of each of the acute angles are 56 degrees and 34 degrees.
Step-by-step explanation:
The measures of a triangle add up to 180 degrees.
One angle has the measure of 90 degrees since it is marked as a right angle.
Using this info we can create an equation to solve for x.
(19x-1)+(13x-5)+90=180
Now solve for x.
32x-6+90=180
32x=96
x=3
Now to find the measure of each angle subsitute the value of x.
(19x-1)=19*3-1=56 degrees
(13x-5)=13*3-5=34 degrees
The measures of each of the acute angles are 56 degrees and 34 degrees.
Answer:
9^-15
Step-by-step explanation:
Division means you subtract the exponents
so when you take +12 (the exponent of denominator) and take it up it becomes -12 so -3-12 = -15 so the exponent is -15
Step-by-step explanation:
Hey, there!!
While simplifying the algebraic expression, you must be very careful about the signs.
Here,
(6x-4) (9x-2)
Multiply 2nd expression by 1st expression,
= 6x ( 9x - 2) -4 ( 9x - 2)
Opening brackets,
Simplifying them we get,
Therefore, the answer is 54x^2 - 48x +8.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>
