Download HW17: Combine the radicals

HW17: Combine the radicals
1.
4 52 5
2.
3.
4 11  2 11
4. 3 13  5 13
3. a = 8 and c = 10
4. a = 4 and b = 4
5. A triangle has sides 12, 9 and 15.
Is it a right triangle?
5. 2 12  3 27
6. 4 125  6 5
HW22:
3 2 8 2
HW18: Combine the radicals
4.
12  75  3 3
4 32  5 2  2
2 48  3  27
2 72  2  5 8
5.
2 12 x  3 27 x
6.
4 20x2  3 5x2
1.
2.
3.
2. Find the length of the diagonal of the
triangle, if the length and the width of
the rectangle are 5m and 3m.
3. Find the length of the diagonal of the
triangle, if the length and the width of
the rectangle are 2m and 4m.
HW19: Find the missing side.
1.
2.
3.
4.
5.
1. Find the length of the diagonal of the
triangle, if the length and the width of
the rectangle are 4m and 6m.
4. Find the length of the diagonal of the
triangle, if the length and the width of
the rectangle are 3 m and 5 m.
a = 3 and c = 5
b = 15 and c = 17
a = 5 and b = 12
a = 8 and b = 6
a = 24 and c = 26
HW20:
In 1 and 2, c represents the length of
the hypotenuse of a right triangle
and a and b represent the lengths of
the legs. For each right triangle, find
the length of the side whose
measure is not given.
1. a = 8, b = 15
2. c = 10, a = 6
In 3,4 and 5, express the length of
the third side in radical form.
3. a = 3, b = 3
4. b = 3 , c = 14
5. a = 5 , b = 6
HW21: Find the missing side.
HW25:
Find the value of each trigonometric
ration to the nearest ten-thousandth.
1. a =
2. a =
5 and b =
3 and b =
6
2
1. sin48
2. sin38
3. cos61
4. cos51
5. tanC
HW26: Find the measure of the
indicated angle to the nearest degree.
HW29:
1. A man is walking along a straight road. He
notices the top of a tower subtending
an angle A = 45 with the ground at the point
where he is standing. If the height of the
tower is h = 5 m, then what is the distance (in
meters) of the man from the tower?
2.A little boy is flying a kite. The string of the
kite makes an angle of 30o with the ground. If
the height of the kite is h = 10 m, find the
length (in meters) of the string that the boy
has used.
HW30:
1. Find x and y
2. In the figure on the left,
ABCD is a square
whose side is 8 units.
Find the length of
diagonal AC to the nearest tenth.
HW27:
In right triangle ABC, c = 13, a = 12,
b = 5 and angle C is a right angle.
1. Express tan B.
2. Express cos B.
3. Express sin B.
HW31: Write as ordered number pairs
the coordinates of the points
A,B,C,D,E,F,G,H and O in the graph
4. A ladder 5 feet long leans against a
wall and makes an angle of 30º with the
ground. Find to the nearest tenth of a
foot how high up the wall the ladder will
reach.
HW28:
1. A piece of lumber leans against a
wall. The top of this 32 foot piece of
lumber touches a point on the wall that is
16 feet above the ground. Find to the
nearest degree the measure of the angle
that the lumber makes with the wall.
2. A ladder leans against a building.
The foot of the ladder is 12 feet from the
building.
The ladder reaches a height of 28 feet on
the building.
a. Find the length of the ladder to the
nearest foot.
b. Find to the nearest degree, the angle
the ladder makes with the ground.
HW32:
a. Graph the points and connect
them with straight lines in order,
forming a polygons.
b. Identify the polygon.
c. Find the area of the polygon.
1. A(1,1), B(8,1), C(1,5)
2. P(0,0), Q(6,0), R(3,4)
3. A(-1,3), L(1,3), F(0,7)
4. H(-4,0), O(0,0), M(0,4), E(-4,4)
HW33: Find y
1. y + x = 3
2. x - y = 5
3. 2y - 4x = 10
4. 5x - y = -4
5. 2y +4x = 12
6. 2x - 6y + 10 = 6