What is the area of a right triangle with a leg length of 15 feet and hypotenuse length of 39 feet
Answers
A=(1/2)a*b
where a and b are the two shortest legs of the triangle, keeping in mind that the longest side of a triangle is the hypotenuse.
Since we are given with the length of a short leg and the hypotenuse, we can calculate for the length of the second short leg through the Pythagorean Theorem which is given as
c^2=a^2+b^2
Hence,
(39)^2=(15)^2+b^2
1521=225+b^2
1296=b^2
b=36 feet
The length of the other short leg is then 36 ft. Substituting this to the formula of the area we have
A=(1/2)(15)(36)
A=270 ft^2
The area of the specified right triangle is 270 square feet.
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Double the product of 6 and 7 expression
the regular price of a new washer and dryer is 975 and the sales price is 850. find the percent of decrease to the nearest whole percent
I need to know what the sum of 347.89 + 23.52!!!
Answers
Subtract 500 from each side:
10n = 14,500
Divide each side by 10 :
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X^2+6x+9=20
Answers
Answer:
x = 1.47 or x = -7.47
Step-by-step explanation:
x²+6x+9=20
This is a quadratic equation
x²+6x+9-20=0
x²+6x-11=0
Step 1 : Write the quadratic formula
x = -b±√b²-4(a)(c)
2a
Step 2 : Substitute values in the formula
a = 1
b = 6
c = -11
x = -6±√6²-4(1)(-11)
2(1)
x = -6±√80
2
x = -3 + 2√5 or x = -3 - 2√5
x = 1.47 or x = -7.47
!!
Answer:
x=1.472 or x=-7.472
Step-by-step explanation:
Lets begin by rearranging the equation into the format ax²+bx+c=0
The equation will be:
x²+6x+9-20=0
x²+6x-11=0
We shall use the quadratic formula to solve the equation.
x=[-b±√(b²-4ac)]/2a
=[-6±√(6²-4×1×-11)]/2
=[-6±√80]/2
=[-6±8.944]2
x= Either (-6+8.944)/2 or x= (-6-8.944)/2
Solving for x in each case gives:
x=1.472 or x=-7.472
B. Lichen secrete chemicals which cause chemical changes in rocks and cause chemical weathering, but
plant roots split rocks apart through physical (mechanical) weathering,
C. All living things cause chemical weathering.
D. Living things only cause mechanical weathering.
Answer B
Answers
Answer:
B
Step-by-step explanation:
Answers
Answer:
2/3 in
Step-by-step explanation:
We can use ratios to solve this problem.
1/4 inch x inches
-------------- = ---------------------
3 /8 ft 1 ft
Using cross products
1/4 * 1 = 3/8 * x
Multiply each side by 8/3 to isolate x
1/4 * 8/3 = 3/8*8/3 x
2/3 = x
Answers
You will have the points: (0,0) and (1,10) and (2,20) and (3,30) etc etc
Plot at least 2 of these points. Then draw a line through them.
Each point has an x,y pair such that the y value is ten times the x value
For example, if x = 2, then
y = 10*x = 10*2 = 20
so that shows how (2,20) is one of the points.
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The domain would be the set of positive whole numbers assuming Tyler can only work a whole number of hours. If partial time values are accepted, then the domain would be the set of positive real numbers. Negative x values are not allowed as Tyler can't work negative 3 hours for instance.
In a similar fashion, the range is the set {0, 10, 20, 30, 40, ...} incrementing by multiples of 10 if x is the set of positive whole numbers. If x is the set of positive real numbers, then y can be 0 or larger which sets up the range of y being the set of positive real numbers as well.