Please help me solve this question.
Answers
They're congruent, so pick one to work with, and discard the other one
temporarily.
In the right triangle:
-- The length of one leg is 'x'.
-- The length of the other leg is (2x + 7).
-- The length of the hypotenuse is 35.47 inches.
You know that in any right triangle:
(The square of the hypotenuse) =
(the square of one leg) + (the square of the other one.)
so you can use that to find the value of 'x'.
One you know the value of 'x', go back to the whole sign before you cut it
in half, and notice that the height of the sign is '2x' ... which is the answer.
if we cut the triangle in half from with the line from left to right, we have a trianlgle that is x high and 2x+7 wide and the hyposonuse that is 35.47 so
a^2+b^2=c^2
x^2+(2x+7)^2=35.47^2
x^2+4x^2+28x+49=1258.12
group like terms
5x^2+28x+49=1258.12
subtract 1258.12 from both sides
5x^2+28x-1209.12=0
factor 5(x-13.0008)(x+18.6008)=0
therefore
(x-13.0008) or/and (x+18.6008)=0
x-13.0008=0
add 13.0008 to both sides
x=13.0008
x+18.6008=0
subtract 18.6008 from both sides
x=-18.6008
since heights cannot be negative, this solution can be discarded
so x=13.0008
2x=height=26.0016
Related Questions
Jen wants to tile the floor of her kitchen . The floor is recrangular and measures 12 feet by 8 feet. If it costs $2.50 per square foot for the materials, what is the total cost of the materials, what is the total cost of the materials for tiling the kitchen floor?
Factor completely 12x^5 6x^3 8x^2
Please help me with this question, its geometry.
A cube has a volume of 1000 cubic feet. What us the edge length of the cube?
3x-4y=27
A.7x=29
B.x=-23
C.7x=35
D.4x=29
Answers
Final answer:
By manipulating and then adding the given system of equations, we can eliminate the variable 'y', resulting in the equation 7x = 35.
Explanation:
To eliminate the variable y in the given system of equations, we need to manipulate the equations to cancel out the y term. The system of equations is:
x + y = 2
3x - 4y = 27
We can accomplish y-elimination by first multiplying the first equation by 4 to match the coefficient in front of y in the second equation. The equations now are:
4x + 4y = 8
3x - 4y = 27
Now, we can add the two equations together, effectively eliminating the y-variable:
4x + 3x = 8 + 27
7x = 35
Learn more about Elimination Method in System of Equations here:
#SPJ3
Answer:
C
Step-by-step explanation:
x + y = 2
Subtract x from both sides;
y = -x + 2
3x - 4y = 27
Substitute y;
3x - 4(-x + 2) = 27
Distribute;
3x + 4x - 8 = 27
7x - 8 = 27
Add 8 to both sides;
7x = 35
Divide both sides by 7;
x = 5
Answers
Answer:
Step-by-step explanation:
Answer:
100
102
Step-by-step explanation:
Let the first even number be 2x
Let the next even number be 2x + 21/5 *(2x) + 2/3 (2x + 2) = 882/5 *x + 4/3 (x) + 4/3 = 88
Multiply by 15 to get rid of the fractions.2*3 x + 20x + 20 = 88 * 156 x + 20x + 20 = 1320 26x + 20 = 132026x = 1300x = 1300/26x = 502x = 1002x + 2 = 1021/5 * 100 = 202/3 * 102 = 34*2 = 6820 + 68 = 88
Use až 3.14 and round your answer to the nearest hundredth.
11 cm
----
15 cm
cubic centimeters
Answers
Answer:
570 cm³
Step-by-step explanation:
V=πr²h
V= 3.14*11²*15
V= 5699.1
Round answer:
V= 570 cm³
Answer:
Step-by-step explanation:
V=πr2h=π·112·15≈5701.99067
5701.99 is your final answer
Have a nice day:)
Answers
each contains 24 cans of soup
number of cans total=number of boxes times number of cans per box
total=12 times 24
tota=288
answer is 288 cans
A) 24°
B) 30°
C) 72°
D) 108
Answers
x+y=180
x=2n+12
y=3n+18
2n+12+3n+18=180
5n+30=180
minus 30
5n=150
divide 5
n=30
sub back
x=2n+12
x=2(30)+12
x=60+12
x=72 degrees
C
Answers
The graph of that function would be centered on the y-axis.
These are the Choices:
The graph will always have zero x-intercepts.
The function will always have a minimum.
The y-intercept will always be the vertex.
The axis of symmetry will always be positive.