Answer:
7 millimeters
Step-by-step explanation:
Volume is the area of the base times it's length.
140/10 is 14
so the area of the triangle is 14
the formula for area of a triangle is base times height divided by 2
so
d x 4/ 2 = 14
multiply both sides by 2
d x 4 = 28
divide both sides by 4
d=7
Answer:
See below
Step-by-step explanation:
<u>Sides of the garden</u>
<u>New dimensions of the garden</u>
<u>1. The area of the new garden</u>
- (16 + 2x)(8 + x) =
- 2x^2 + 32x + 128
<u>2. The difference in area </u>
- 2x^2 + 32x + 128 - 16*8 =
- 2x^2 + 32x
<u>3. x= 2 effect on the area</u>
- 2*2^2 + 32*2 =
- 8 + 64 =
- 72 ft²
<u>4. Area difference = 160</u>
- 2x^2 + 32x = 160
- x^2 + 16x - 80 = 0
- Solving we get positive root of 4 ft
<u>5. Area difference = 4 times</u>
- 2x^2 + 32x = 128*3
- 2x^2 + 32x - 384 = 0
- x^2 + 16x - 192= 0
- Solving we get positive root of 8 ft
<span>2h + 4 = m (twice the value of Helena's age plus 4 will equal Mark's age)
3j - 6 = g (three time John's age minus 6 will equal Glenn's age)
3.35s + .80b = 11.75</span>
Answer:
AC = 2.44
Step-by-step explanation:
Reference angle = 26°
Opposite side = AC = ?
Adjacent side = BC = 5
Applying TOA, we have:
Tan 26 = opp/adj
Tan 26 = AC/5
multiply both sides by 5
Tan 26 × 5 = AC
AC = 2.44 (nearest hundredth)
