Answer:
15,000 from her savings
Step-by-step explanation:2,500*12=30,000 45000-30,000=15,000
Question: Find the perimeter of the right triangle. If necessary, round to the nearest tenth. 4 cm 15 cm a. 15.5 cm
b. 30 cm
c. 60 cm
d. 34.5 cm
Answer:
d. 34.5 cm
Step-by-step explanation:
Applying
Perimeter of the right triangle (P) = a+b+c
P = a+b+c.................... Equation 1
But we can find the hyotenuse (a) using pythagoras theorem
a² = b²+c²
a = √(b²+c²)............... Equation 2
Substituting equation 2 into equation 1
P = √(b²+c²)+b+c................... Equation 3
From the diagram,
Given: b = 4 cm, c = 15 cm
Substitute these values into equation 2
P = √(4²+15²)+4+15
P = √(241)+4+15
P = 15.5+4+15
P = 34.5 cm
Hence the right answer is d. 34.5 cm
Answer:
x = 1
, y = 4
Step-by-step explanation:
Solve the following system:
{5 x + y = 9 | (equation 1)
10 x - 7 y = -18 | (equation 2)
Swap equation 1 with equation 2:
{10 x - 7 y = -18 | (equation 1)
5 x + y = 9 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{10 x - 7 y = -18 | (equation 1)
0 x+(9 y)/2 = 18 | (equation 2)
Multiply equation 2 by 2/9:
{10 x - 7 y = -18 | (equation 1)
0 x+y = 4 | (equation 2)
Add 7 × (equation 2) to equation 1:
{10 x+0 y = 10 | (equation 1)
0 x+y = 4 | (equation 2)
Divide equation 1 by 10:
{x+0 y = 1 | (equation 1)
0 x+y = 4 | (equation 2)
Collect results:
Answer: {x = 1
, y = 4
Answer:
true
Step-by-step explanation:
Supplementary angles are any two angles whose measures sum to 180 degrees. Supplementary angle pairs will either be two right angles (both 90 degrees) or be one acute angle and one obtuse angle. If two angles are both supplementary to the same angle, then the two angles are of equal measure two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
The answer is C. First, the area of the plot should be the multiplication of the two side lengths, so 11.7 * 15.4=180.18. However, we have to look at the significant digits to decide to what digit should we round the answer to. Since both 11.7 and 15.4 are accurate to the tenths digit, 180.18 should also be so, so we should round it to 180.2.
