Answer:
length of diagonals are BD = 33.039 cm and AC = 38.84 cm
Step-by-step explanation:
given,
sides of parallelogram is 20 cm and 30 cm
Angle between them is 80°. opposite angle of parallelogram are same the opposite angle is same.
other angle = 360° - 80° - 80° + 2 x = 200
x = 100°
Using cosine law
c² = a² + b² - 2ab cos γ
In ΔDAB
BD² = 30² + 20 ² - 2 × 30 × 20 cos 80°
BD = 33.039 cm
now in ΔADC
c² = a² + b² - 2ab cos γ
AC² = 20² + 30² - 2 × 30 × 20 cos 100°
AC = 38.84 cm
length of diagonals are BD = 33.039 cm and AC = 38.84 cm
The answer to number 1 is $7.78. all ya got to do is divide 140 by 18 to find out how much is just one foot squared.
The answer to number 2 is $0.21. same as number one just divide $2.99 by 14lbs, to find out how much money is needed to pay for one pound.
numbers 3 and 4 are a bit more tricky, i suggest getting those denominators to 100 first to be able to find the percentage value of everything, number 3 seems pretty easy when using this strategy, the denominator is 25 so just multiply both the top and bottom numbers by 4 so that the 25 equals out to 100 and 56X4=224. now the second one the denominator is 15 so i would first divide both numbers by 3 to get that 15 into an easier number like 5. so divide $32.05 by 5 to equal $6.41. now its $6.41 over 5. so multiply the top and bottom numbers by 20 to make the denominator into 100. so $6.41X100=$641.00. so essentially what we've done is make the denominators into (like) denominators. Now treat the numbers as a fraction, so the one that has a smaller number is the better deal. so $56/ 25 gal is the better deal.
for number 4, you're basically doing the same thing but they've made it pretty easy for us, all you got to do on this one is make that denominator on the second proportion a 5. so divide the second proportion by nine to make the denominator into a 1. so dividing $315 by 9 will equal 35. so now multiply the (35/1) by 5 to equal ($175/5) now just pick the answer choice that has the bigger numerator and that'll be the best deal. so number 4 is ($160/5 g).
Making the denominators into like terms makes the units the same, so getting the numerators to the prices for however many units will show you the pricings for that many units. so if your wanting to pick the best deal, then at that point u would pick the proportion that cost less for that many units.
Answer: its −2
Step-by-step explanation:
3*(5*x+2)-(2*(3*x-6))=0
Step by step solution :
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
3x - 6 = 3 • (x - 2)
Equation at the end of step
2
:
(3 • (5x + 2)) - 6 • (x - 2) = 0
STEP
3
:
Equation at the end of step 3
3 • (5x + 2) - 6 • (x - 2) = 0
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
9x + 18 = 9 • (x + 2)
Equation at the end of step
5
:
9 • (x + 2) = 0
STEP
6
:
Equations which are never true
6.1 Solve : 9 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
6.2 Solve : x+2 = 0
Subtract 2 from both sides of the equation :
x = -2
One solution was found :
x = -2
Square root (8-0)^2 + (8+7)^2
square root 64+15^2
=8+15
= 23
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