V = (1/2) area of cross-section times length.
Note: I will use L in place of x to represent the length of the prism.
In short, V = (1/2)*b*h*L.
To find the surface area, use
A = bh + 2Ls + Lb
Volume given to be 15, 510.
Part (a) set up:
15, 510 = (1/2)(60)(11)L
Can you finish? Just solve for L to find your x-value.
Part (b) set up:
To answer part (b), you must find the value of L in part (a).
A = (60)(11) + 2L(61) + L(60)
Understand? Take it from here.
Step-by-step explanation:
-3x + 7y = 5x + 2y (you subtract the 2y from both sides)
-3× + 5y = 5x (then add 3x to both sides)
5y = 8x (use x = - 5)
5y = 8x - 5 = -40 (both sides are divided by 5)
y = -8
answer is (-5, -8)
On analyzing the question we can say that the angle ∠JKM of the triangle ΔJKL would be 42 as line MK bisects ∠JKL into ∠JKM & ∠MKL.
From the question it follows that line MK bisects angle ∠JKL into ∠JKM & ∠MKL where M is the point in the interior of ∠JKL.
Therefore, as we have given m∠JKL = 84 & m∠MKL = 42
and we have to find m∠JKM , we will simply write the equation as follow
m∠JKL = m∠JKM + m∠MKL
Inserting values we get,
84 = m∠JKM + 42
m∠JKM = 42
Hence, angle m∠JKM of the triangle ΔJKL is 42.
Learn more about questions related to triangles and their angles here
brainly.com/question/13273388
#SPJ9
Answer:
$755.80
Step-by-step explanation:
Determine the compound amount first and then subtract the principal from it, to find the amount of interest.
The compound amount formula is A = P (1 + r/n)^(nt), where
P is the initial principal, r is the interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years. Here, P = $2179; t = 5 yrs; r = 0.06; and n = 4 (quarterly compounding).
We get:
A = $2179(1 + 0.06/4)^(4*5), or $2179(1.015)^20, or $2179(1.347) = $2937.80.
The compound amount is $2934.80. Subtracting the $2179 principal results in the interest earned: $755.80.
0.9 ..............................
