B
( A P E X )................
If a triangle has sides of 7 cm and it is an equilateral you can draw a line right down the middle to form two congruent triangles.
These smaller triangles have a hypotenuse of 7cm and a base of 3.5 cm (7/2)
To work out the height, use Pythagoras’ theorem.
a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the other two sides
7^2 - 3.5^2 = 36.75
Square root answer
= 6.06 cm
That’s the height of the triangle
Area of a triangle is base x height divided by 2
So 7 x 6.06 = 42.43…
/2
= 21.2 cm^2 to one d.p
Hope this helped!
Please mark Brainliest!!
Answer:
52 adult tickets and 4 children's tickets
Step-by-step explanation:
596=11a+6c
Multiple answers are possible:
Let's use guess and check with (52,4)
596=572+24 when x=54 and y=4
52 adult tickets and 4 children's tickets being sold can total to $596
The
capital budget will be supported with 30% debt and 70% equity. Since the
company's income will be $825,000 this is the maximum equity that can be put
towards the capital budget and therefor is matched in the ratio 70:30 by
borrowings. If $825000 is 70%, divide that (825,000/.70) you’ll get the total
maximum budget of $1,178,571 which is letter c. To get the 30%, just deduct the
$825,000 to $1,178,571, you’ll get $353,571. To make sure your answer is
correct, add up the 70% and 30% values and if they make the original total
value, then the answer is correct. $825,000 + $353,571 = $1,178,571
Answer:
Area of the triangle = 0
Step-by-step explanation:
We are given the vertices of a triangle as: (- 8,4 ), (- 6,6), (- 3,9)
The formula to find the Area of the triangle =
1/2[ x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]
Where :
(x₁, y₁) = (- 8,4 )
(x₂, y₂) = (- 6,6)
(x₃, y₃) = (- 3,9)
Area of the triangle = 1/2[-8(6 - 9) + -6(9 - 4) + -3(4 - 6)]
= 1/2[ (-8 × -3) +( -6 × 5) +( -3× -2)]
= 1/2[ 24 - 30 + 6)
= 1/2[ 24 + 6 - 30]
= 1/2 [30 - 30]
=1/2[ 0 ]
= 0
Therefore, the area of triangle whose vertices are (- 8,4 ), (- 6,6) and (- 3,9) is ZERO( = 0 )
