Answer:
40, 20, 19, 10, 4
Step-by-step explanation:
In order for a triangle to be possible, any two sides added together must be greater than the third side. <u>Not equal!</u>
Answer:
17
Step-by-step explanation:
triangle has 180 degrees
equation
90+53+(2x+3)=180
146+2x=180
2x=34
x=17
The area of a rectangle is obtained through the equation,
A = L x W
The width of the yard is 4 ft less than the length and may be expressed as L - 4. Length may be solved through the following steps,
A = (L)(L-4) ; 96 = L(L - 4) ; L = 12 ft
The length and width are 12 ft and 8 ft, respectively. Perimeter may be solved through the equation,
P = 2 x (L + W)
Substituting the values of L and W
P = 2 x ( 12 ft + 8 ft) = 40 ft
Therefore, the perimeter of the yard is 40 ft.
Answer:
∠ CDA = 32.3°
Step-by-step explanation:
See the given figure attached to this answer.
Draw perpendiculars from B and C on AD which is BE and CF.
Now, Δ ABE is a right triangle and AE² = AB² - BE² = 7.5² - 6² = 20.25
⇒ AE = 4.5 cm
Now, DF = AD - EF - AE = 24 - 10 - 4.5 = 9.5 cm {Since BC = EF}
And CF = BE = 6 cm.
Now, Δ CFD is a right triangle and
{Where β = ∠ CDA}
⇒ Degree.
So, ∠ CDA = 32.3° {Correct to one decimal place} (Answer)
A = 3i - j - 4k
B = -2i + 4j - 3k
C = i + 2j - k
2A - B + 3C =
= 2(3i - j - 4k) - (-2i + 4j - 3k) + 3(i + 2j - k) =
= 6i - 2j - 8k + 2i - 4j + 3k + 3i + 6j - 3k =
= 6i + 2i + 3i - 2j - 4j + 6j - 8k + 3k - 3k =
= <u>1</u><u>1</u><u>i</u><u> </u><u>-</u><u> </u><u>8</u><u>k</u>