Volume
This shape has a base that is a polygon and three or more triangular faces that meet at a point called the apex.
What is pyramid?
pi*R^2+pi*Rl, where R is a base radius and l - is a slant height - formula for the surface area of which shape?
What is a cone?
The angle down from the horizontal to the line from the object to the person's eye
What is the angle of depression?
This rule used when you have the measures of an angle and it's opposite side, along with one more piece of information.
What is SINe rule?
Who discovered the area of a triangle in terms of the lengths of its sides?
Who is Heron of Alexandria?
This shape is defined as a set of all points in 3D-space that are equidistant from a central point. How do we call the half of this shape?
What is hemisphere?
Formula to find the surface area of a sphere?
What is 4pi*R^2?
Which of the following is the longest side in a right triangle?
What is hypotenuse?
This rule used when you know the measures of two sides and the included angle, or when you know the measures of all three sides.
What is COSine rule?
The area of a triangle is 100. If c=20 and the measure of angle a is 30, what is b equal to?
What is 20?
The midpoint of AB in the square-based pyramid ABCDE, with the coordinates of A(1, 0, 3), B(1, 5, 3), and apex E(7, √ 15, 10)?
What is (1, 2.5, 3)?
The surface area of a cone with radius 6cm and height 8cm as an exact value (in terms of pi)
What is 96pi cm^2?
The hypotenuse in right-angled triangle with the angle 45° and with the opposite side 1?
What is √ 2?
DAILY DOUBLE
During Term 1 we were on that Chapter
What are Series and Sequences?
Find the exact area of a triangle with two sides that measure 6 yd and 2 yd with an included angle of 10°.
What is 1?
The volume of a cone with radius 6cm and height 8cm as an exact value (in terms of pi)
What is 96pi cm^3?
A sphere has a volume of (32/3)*pi. Exact value of its surface area is?
What is 16pi?
I put a ladder 1.5 m away from a tree. The ladder is inclined at 70° above the horizontal. What is the height of the tree?
What is 4.12 m?
An archery video game has an auto-aim feature.
An archer wants to hit point T, but his bow is aimed at point A, which is 15m away from T. The auto-aim feature also knows that the archer is 60 m away from T and 50 m away from A.
How many degrees will the auto-aim feature adjust the shot?
Do not round during your calculations. Round your final answer to the nearest degree.
What is 12?
Which option is INCORRECT ?
Heron's Formula is used to find the area of triangle when:
a) Three sides are given
b) Two sides & perimeter is given
c) Height is given
d) Two sides & semi perimeter is given
What is C?
A metal fuel tank is made of a cylinder of length 8.5m and diameter 3m with a hemisphere welded to each end. What is a volume of the fuel tank?
What is 74.2 m^3?
Find the surface area of a tetrahedron with all faces equilateral triangles of side 6 cm.
What is 36√ 3 cm^2?
Bugs Bunny was 33 meters below ground, digging his way toward Pismo Beach, when he realized he wanted to be above ground. He turned and dug through the dirt diagonally for 80 meters until he was above ground.
What is the angle of elevation, in degrees, of Bugs Bunny's climb?
Round your final answer to the nearest tenth.
What is 24.3°?
“I think I can make it. I’ll just jump.” says Denis, flashing a grin as he looks to the neighboring rooftop.
“Wait!” Vera exclaims. “First let's find the distance! We know we're 4.7m apart. I see a 40° angle between you and your landing point. From your point of view, there's a 105° angle between me and your landing point. All we need to do is...”
Denis jumps.
“...use some trig,” Vera gasps.
How far did Denis need to jump to reach the rooftop?
Do not round during your calculations. Round your final answer to the nearest tenth of a meter.
What is 5.3m?
Ms Olga's full name? (3 words)
What is Olga Nikolaevna Neustroeva?