Answer:
Option B
Step-by-step explanation:
<u>Step 1: Determine the range and domain</u>
Range is asking for what y values are being used. We can see that the vertex of the parabola is at y = 4 so we know that anything equal or above 4 would be included in the range.
Domain is asking for what x values are being used. We can see that the parabola is pointing in both the negative and positive x direction which means that it will go to infinity on both sides. This gives us the answer that the domain is all real numbers.
Looking at the given options, options C and D are automatically removed because the range is incorrect. Next looking at the domain we see that option A is incorrect which leaves us with option B.
Answer: Option B
Im not that sure but I think its the prism
Answer:
Angle CED must also measure 60°.
Because angle m is shown to be congruent to angles ABC and CDE, this means that angle m has a measure of 60 degrees.
There can only be 180 degrees in a triangle, so the measure of angle ACB must be 180-60-60, which equals 60 degrees.
Using the Vertical Angles Theorem, the measure of angle ACB is the same as the measure of angle CED.
Therefore, angle CED measures 60°.
Step-by-step explanation:
m, because Triangle ABC is similar to triangle EDC
m over 2, because Triangle ABC is congruent to triangle DCE
m + 60 degrees, because Triangle ABC is similar to triangle DCE
120 degrees − m, because Triangle ABC is congruent to triangle DCE
Answer:
0.69473828 radians east of north.
Step-by-step explanation:
Interpreting the information given on a Cartesian plane, the position of the ship will be (1,0) and that of the rock will be (7,5). Connecting the point (1,0) and (7,5) with a line and dropping a perpendicular line from point (7,5) to the x-axis to intersect the x-axis at (7,0), will form a right-triangle with base length 6 units and a height of 5 units.
<u>Finding the base length from points (1,0) and (7,0)</u>
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(7-1)²
d= √6²
d=6 units
<u>Finding the height from points (7,5) and (7,0)</u>
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(7-7)² + (0-5)²
d=√-5²
d=√25
d=5 units
So you now have a right triangle with base length 6 units and height 5 units.
To get the bearing of rock from ship position you apply the formula for tangent of an angle
Tan Ф = length of opposite side/length of adjustment side
TanФ=5/6
Tan Ф =0.83333333333
Tan⁻¹ (0.83333333333) =0.69473828 radians east of north.
Answer:
The answer is B:8
Step-by-step explanation:
because when you line up the numbers in order
5 6 7 8 11 11 15
The middle number is 8
