Answer:
BD = 3 units
Step-by-step explanation:
Since, AD is an angle bisector of ∠BAC,
m∠BAD = m∠CAD = 20°
CD = 3 units
In ΔACD and ΔABD,
m∠BAD = m∠CAD = 20° (Given)
AD ≅ AD [Reflexive property]
Therefore, by H-A property of congruence both the triangles will be congruent.
And by CPCTC,
CD ≅ BD = 3 units
4x²+4x-35=0
factor: (2x+7)(2x-5)=0
2x+7=0, or 2x-5=0
2x=-7 or 2x=5
x=-3.5 or x=2.5
I don't see any rounding necessary in this case.
when you factor ax²+bx+c, you take the two factors of a and the two factors of c, one factor of a times one factor of c, the other factor of a times the other factors, the sum of the two products make b.
in this case, the factors of 4 is 2 and 2, the factors of -35 is -5 and 7. I line them up in the following way:
2 -5
2 7
then I multiple them diagonally, the top left 2 multiplying the bottom right 7=14, and the other 2 multiplying -5=-10, 14 and -10 make a sum of 4.
if you don't get the desired sum, switch the factors up and down till you have the right combination. Note: Do not switch left and right.
I hope this makes sense to you.
It’s the second one, 65.4
V=1
6πd3=1
6·π·53≈ 65.44985in³
Answer:
60
Step-by-step explanation:
Sum the parts of the ratio, 5 + 9 + 13 = 27 parts
Divide the amount of concrete by 27 to find the value of one part of the ratio.
324 ÷ 27 = 12 ← value of 1 part of the ratio , thus
5 parts = 5 × 12 = 60 ← cement
9 parts = 9 × 12 = 108 ← sand
13 parts = 13 × 12 = 156 ← gravel
Answer:
9 gram/cm³
Step-by-step explanation:
Volume of a square (L³) = 2³ = 8cm³
Volume of a square (L³) = 2³ = 8cm³
But Density = mass/volume
But Density = Mass/Volume
Density = 72grams/8cm³
Density = 9grams/cm³
