one leg of a right triangle is 5 millimeters shorter than the longer leg and the hypotneuse is 5 millimeters longer than the longer leg. Find the lenghts of the sides
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The Pythagorean theorem (also known as Pythagoras's Theorem) can be used to solve this. This theorem states that one leg or a right triangle squared plus the other side of that same triangle squared equals the hypotenuse of that triangle squared. To put it in equation form, L² + L² = H².
Let's call the longer leg B, the shorter leg A, and the hypotenuse H.
From the question, we know that A = B - 5, and H = B + 5.
So if we put those values into an equation, we have (B - 5)² + B² = (B + 5)²
Now, to solve. Let's square the two terms in parentheses first:
(B² - 5B - 5B + 25) + B² = B² + 5B + 5B + 25
Now combine like terms:
2B² -10B + 25 = B² + 10B + 25
And now we simplify. Subtract 25 from each side:
2B² - 10B = B² + 10B
Subtract B² from each side:
B² - 10B = 10B
Add 10B to each side:
B² = 20B
And finally, divide each side by B:
B = 20
So that's the length of B. Now to find out A and H.
A = B - 5, so A = 15.
H = B + 5, so H = 25.
And your final answer is A = 15mm, B = 20mm, and H = 25mm
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Kevin is 7 years, Tonya is 14 years and uncle rob is 54 years
What is Equation?
Two or more expressions with an Equal sign is called as Equation.
Tonya is twice Kevin's age
In three years, Tonya will be 17.
t+3=17
t=14
tonya is now 14 years.
As Tonay is 2 times kevin
t=2k
Substitute t value in above equation.
14=2k
divide both sides by 2
7=k
kevin is 7.
And in another three years, Uncle Rob will be three times Tonya’s age.
17+3, rob is 3 times Tonya
20(3)=60 years.
60, that is in 6 years, so 60-6=54
Kevin is 7 years
Tonya is 14 years
unclerob is 54 years
Hence, Kevin is 7 years, Tonya is 14 years and uncle rob is 54 years
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t+3=age in 3 years
t+3=17
minus 3
t=14
tonya is now 14
tonay is 2 times kevin
t=2k
14=2k
divide 2
7=k
kevin is 7
in another 3 years (3+3=6) so t+6, or 17+3, rob is 3 times tonya
20*3=60
60, that is in 6 years, so 60-6=54
kevin is 7
tonya is 14
uncle rob is 54
B. Graph the solution to your inequality on the plane below
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Answer:
x+2y </= 10
Step-by-step explanation:
6.4 meters
2 meters
1.8 meters
7 meters
3.5 meters
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The height of the person (6 feet and 6.5 inches) is equivalent to 1.994 meters (approx. 2 meters).
How to determine the equivalent height by conversion factor
In this problem we know that height of a person measure in feet and inches, please notice that 1 foot is 12 inches and 1 meter is 3.28 foot. The conversion formula is shown below:
y = k · x
Where:
- x - Original height, in feet.
- k - Conversion factor, in meters per foot.
- y - Resulting height, in feet.
Now we proceed to determine the equivalent height:
y = (1 m / 3.28 ft) · [6 ft + (6.5 in) · (1 ft / 12 in)]
y = (1 m / 3.28 ft) · (6 ft + 0.541 ft)
y = (1 m / 3.28 ft) · (6.541 ft)
y = 1.994 m
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Step-by-step explanation:
2 meters is the answer
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144.64 is the number whose 56% is 81.
To find what number 81 is 56% of, we can set up the equation:
81 = 0.56x
To solve for x, we divide both sides of the equation by 0.56:
81 / 0.56 = x
x ≈ 144.643
Therefore, 81 is approximately 56 percent of 144.643.
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81=0.56x
Divide 81/.56=144.64
x=144.64
So, 81 is 46% of 144.64
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Josh will have to make a minimum of 12 shots to the basket to reach his goal on Tuesday. Basically, 12 shots are 80% of 15 shots he decides to take every Monday and Tuesday.
- Baskets are said to be done when the basketball ends up passing through the basket in the opponent's side of the basketball field. However, Josh is practicing his free throws here.
- Josh has set a goal to himself that at least 80% of his shots should be basket. Considering that he takes 15 throws on Monday the calculation of baskets will be done as below.
- So the Josh's required free throws on Tuesday will be,
- It can be concluded that Josh will have to make at least 12 of his 15 free throws into the basket on Tuesday to achieve his set goal of 80%.
Hence, Josh will have to make 12 free throws into the basket on Tuesday to be able to score at least 80% of his free throws as baskets.
To know more about basketball free throws, click the link below.
Answer:
he has to make 12 shots
Step-by-step explanation: