Answer:
BC = 15.01
Step-by-step explanation:
7 x tan(65) = 15.01154844
9514 1404 393
Answer:
120 m²
Step-by-step explanation:
If you divide the isosceles triangle into two right triangles, each has a leg and hypotenuse of 8 and 17, respectively. You may recognize these numbers as part of the Pythagorean triple (8, 15, 17). That recognition tells you the triangle's height is 15 m, so its area is ...
A = 1/2bh
A = 1/2(16 m)(15 m) = 120 m² . . . . triangle area
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<em>Alternate solutions</em>
Given the three sides, you can find the smallest angle from the Law of Cosines. It will be ...
α = arccos((17² +17² -16²)/(2·17·17)) ≈ 56.144°
Then the area is ...
A = 1/2·ab·sin(C) . . . for triangle with sides a, b, c and opposite angles A, B, C
A = 1/2sin(α)·17·17 = 120 . . . m²
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Using Heron's formula:
s = (17 +17 +16)/2 = 25
A = √(25(25 -17)(25 -17)(25 -16)) = 5×8×3 = 120 . . . m²
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If you need to, you can compute the triangle's height from the Pythagorean theorem.
a² +b² = c² . . . . generic Pythagorean theorem equation
8² + h² = 17² . . . with relevant values filled in
h² = 289 -64 = 225
h = √225 = 15
x = -38/9 !!!
27(x+4)=−6
Step 1: Simplify both sides of the equation.
27(x+4)=−6
(27)(x)+(27)(4)=−6 (Distribute)
27x+108=−6
Step 2: Subtract 108 from both sides.
27x+108−108=−6−108
27x=−114
Step 3: Divide both sides by 27.
27x/27=−114/27
x=−389
x< -1 is the graph going down or up when x is less than -1? its going down , so this is true
Range is the y values. It appears to go down to y=5 and go up so its not all reals
x< -1 is the graph going down or up when x is less than -1? its going down , so this isn't true
Domain is the x values and it does include all reals
Minimum (-1, 5), is that the value of vertex at the bottom, yes it is, so this is true
