Answer:
The triangle's perimeter is 61.77 inches.
Step-by-step explanation:
Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:
Isosceles triangle = 2 equal sides
To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.
(9/2) ^ 2 + 26 ^ 2 = X ^ 2
4.5 ^ 2 + 26 ^ 2 = X ^ 2
20.25 + 676 = X ^ 2
√ (20.25 + 676) = X
√696.25 = X
26.38 = X
26.3865 x 2 + 9 = X
52.77 + 9 = X
61.77 = X
Therefore, the triangle's perimeter is 61.77 inches.
Answer:
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Step-by-step explanation:
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2. Because if 1/3 + 2/3 is 1 then 1+1=2
Answer:
503,049
Step-by-step explanation:
250,000 × 1.06^12 is the formula.
You take the percentage which is 6% and you add 1 to it.
So, you get 1.06
Then you take the 1.06 and raise it to the number of years which is 12.
1.06^12
Then you multiply that number to the base number which is 250,000 and get 503,049.
Hope this helps!
Answer:
y = 3x+9
Step-by-step explanation:
The standard form of equation of a line is in the form y = mx + c
m is the gradient
c is the y intercept
Get the y-intercept
Substitute m = 3 and the point (-2, 3) into the formula y = mx+c
3 = 3(-2) + c
3 = -6+c
c = 3+6
c = 9
Get the required equation;
y = 3x + 9
Hence the required equation is y = 3x+9
