Answer:2.21
Step-by-step explanation:I used a calculator
Answer:
A=L*W
Let w be width
L=(w+6)
40=(w+6)*w
40= w^{2} +6w
w^{2} +6w-40=0
w^{2}+10w-4w-40=0
w(w+10)-4(w+10)=0
(w-4)(w+10)=0
w=4
Length= 10 units
Width=4 units
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
The side lengths satisfy the Pythagorean theorem, so the triangle is a right triangle.
7.5² +10² = 12.5²
56.25 +100 = 156.25
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You may recognize that the ratios of side lengths are ...
7.5 : 10 : 12.5 = 3 : 4 : 5
A 3-4-5 triangle is a well-known right triangle, as this is the smallest set of integers that satisfy the Pythagorean theorem. They also happen to be consecutive integers, so form an arithmetic sequence. Any arithmetic sequence that satisfies the Pythagorean theorem will have these ratios.
_____
If you're familiar with trigonometry, you know the law of cosines tells you ...
c² = a² + b² - 2ab·cos(θ) . . . . where θ is the angle between sides a and b. This reduces to the Pythagorean theorem when θ=90°, which makes cos(θ)=0. If the sides do not satisfy the Pythagorean theorem, cos(θ)≠0 and the triangle is not a right triangle.
Answer: 108 ft³
Step-by-step explanation:
V= 4/3πr³
Facts:
Pi= 3
Diameter = 6
Step1; find the radius
Diameter is the length acaross the whole circle, but the radius is just 1/2 the circle. Therefore, if the diameter is 6, then the radius can be found by finding 1/2 of 6.
1/2 of 6= 1/2x6= 3.
R= 3
Step 2: Plug in the numbers (into the formula)
PEMDAS
(exponents go first)
(then multiply from left to right)
V= 4/3πr³
V= 4/3x3x3³
V= 4/3x3x (3x3x3)
V= 4/3x3x27
V= (4/3x3) x 27
V= 12/3x27
V= 4x27
V= 108
<u><em>Volume= 108 ft³ </em></u>
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Hope this helps :)) Also brainliest would be appreciated, i worked pretty hard on this thanks! :)
