Answer:
1229 km
Step-by-step explanation:
The missing angle is ...
180° -60° -75° = 45°
Knowing that, the Law of Sines can be used to find the side opposite the 75° angle.
?/sin(75°) = 900 km/sin(45°)
? = (900 km)sin(75°)/sin(45°) ≈ 1229.423 km
The UFO is about 1229 km from KA-12.
Answer:
7 miles
Step-by-step explanation:
Let's call the distance between the library and police station x. Then, the distance between the police station and fire station would be 3 less than twice x. Twice means multiply by 2 so twice x is 2 * x = 2x and 3 less than means that you subtract 3 so 3 less than 2x is 2x - 3. Now, we know that x = 5 so all we have to do now is substitute x = 5 into 2x - 3, therefore, the answer is 2 * 5 - 3 = 7 miles.
Side FG is proportional to side BC. When showing that two figures are similar, they should always be typed in the order of the points they correspond to. In this instance, ABCD ~ EFGH, meaning that AB ~ EF, BC ~ FG, CD ~ GH, and AD ~ EH. Let's use a simpler example, with similar triangles MNO and XYZ.
MNO ~ XYZ Since the two triangles are written in this specific order, each side should be similar to the side in the same order on the other triangle.
MN ~ XY
NO ~ YZ
MO ~ XZ
Hope this helps!
Answer:
193 in
Step-by-step explanation:
Volume of a triangular prism:
The volume of a triangular prism is the base area multiplied by the wedge, that is:
The base area is one half times the triangle base times it's height, so:
The wedge of cheese is 7 inches tall.
This means that 
The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.
This means that 
Volume:
Rounding, approximately 193 in.
Answer:
Step-by-step explanation:
-3/4 * 2/5 = fraction multiplication.
-6/20 = -3/10
