Answer:
Your answer should be 824,000.
Step-by-step explanation:
Hope this helps you!
Answer:
17
Step-by-step explanation:
Answer:
Step-by-step explanation:
a.
The angles given are 62° and 90°.
We know sum of angles in any triangle is 180° so the third angle must be 180-90-62 = 28°
We can find the sides if we know trigonometric functions
sin28° = opp. side/ hypothenuse = CA/BA = 8/BA
BA = 8/sin 28° ≈ 17
tan62°= opp.side/adj.side= BC/AC = BC/8
BC = 8 · tan62° ≈ 15
b.
We are given 2 sides 8.5 and 6.5 and that one angle is right, so the triangle is a right triangle, therefore we can apply Pythagorean Theorem to find the third side.
6.5² +FD² = 8.5², subtract 6.5² from both sides
FD² = 8.5²- 6.5², square and combine like terms
FD² = 30, square-root both sides
FD = √30
FD ≈ 5.47722, round to the nearest tenth
FD ≈ 5.5
We can find the angles if we know trigonometric functions.
sin ∡D = FE/DE = 6.5/8.5
∡D = sin^-1 (6.5/8.5)
∡D ≈ 49.9°
cos ∡E = FE/DE = 6.5/8.5
∡E = cos^-1 (6.5/8.5)
∡E ≈ 40.1°
4
x
+
5
y
=
15
4
x
+
5
y
=
15
Solve for
y
y
.
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y
=
3
−
4
x
5
y
=
3
-
4
x
5
Rewrite in slope-intercept form.
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y
=
−
4
5
x
+
3
y
=
-
4
5
x
+
3
Use the slope-intercept form to find the slope and y-intercept.
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Slope:
−
4
5
-
4
5
y-intercept:
3
3
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
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x
y
0
3
1
11
5
x y 0 3 1
11
5
Graph the line using the slope and the y-intercept, or the points.
Slope:
−
4
5
-
4
5
y-intercept:
3
3
x
y
0
3
1
11
5
x y 0 3 1
11
5
image of graph
Steps in constructing a circumscribed circle on a triangle using a just a compass and a straight edge.
1) construct a perpendicular bisector of one side of ΔRST.
2) construct another perpendicular bisector of another side of ΔRST
3) the point where the two bisectors intersect will be the center of the circle.
4) place the compass on the center point, adjust its length to ensure that any corner of the triangle will be reached and draw the circumscribed circle.
