PLEASE help with these math questions
2 answers:
Pythagorean theorem: a² + b² = c²
a = long leg
b = short leg
c = hypotenuse
graph can form a right triangle:
JK: a = 7 - 3 = 4 ; b = 5 - 3 = 2
⇒ 4² + 2² = c² ⇒ 16 + 4 = 20 ; c = √20 = 4.47 or 4.5 units
VW: a = 6 - (-2) = 6 + 2 = 8 ; b = -3 - (+4) = 7
⇒ 8² + 7² = c² ⇒ 64 + 49 = 113 ; c = √113 = 10.63 units
EG: a = 7 - (-2) = 7 + 2 = 9 ; b = 9 - 1 = 8
⇒ 9² + 8² = c² ⇒ 81 + 64 = 145 ; c = √145 = 12.04 units
EG: a = -1 - 6 = 7 ; b = 2 - (-2) = 2 + 2 = 4
⇒ 7² + 4² = c² ⇒ 49 + 16 = 65 ; c = √65 = 8.06 units
Trapezoid: Rectangle and right triangle.
Rectangle = 1 side of the width is the long leg of the right triangle.
a = 8 - 2 = 6 ; b = 12 - 9 = 3
6² + 3² = c² ; 36 + 9 = 45 ; c = √45 = 6.71 units
upper base:CD: 9 - 2 = 7
lower base: BA: 12 - 2 = 10
side: DA: 8 - 2 = 6
side: CB: 6.71
Perimeter = 7 + 10 + 6 + 6.71 = 29.71 units
The first one is just some simple application of Pythagora's theorem.
Since you go up -2 (no negative lengths), and across 4. You can apply the theorem to get:
2^2 + 4^2 = x^2
x = 4.4721
x = 4.5
I won't answer all of these for you, if you need more help just say please.
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A reciprocal is when you take the numerator and the denomenator switch.
So the reciprocal of 2/7 1/9 3/8 1/2 and 11/12 is 7/2 9/1 8/3 2/1 and 12/11
Answer:
2
u
^3+
6
u
^2
+
9
u
+
10
Step-by-step explanation:
x=-3
-6x + 8 + 3x = 17
-3x + 8 = 17
-3x = 17 - 8
-3x=9
x=-9/3
x=-3
Answer:
an increase of 12%
Step-by-step explanation:
68 divided by 77 is 0.88 approximately
100-88 is 12
Tip:
do this for increase and decrease in percentage question
divide small number by big number, and subtract the quotient from 100
The exercise is basiacally asking for the perimeter of the garden. The perimeter of a rectangle is twice the sum of its dimensions, so we have
