Answer:
Graph is attached below.
Step-by-step explanation:
If you want to solve for the variable x,
x = −4 / 5y + 7 / 5
Answer:
50.020 and 50.02
Step-by-step explanation:
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Answer:
The sides of all the shapes are straight
Step-by-step explanation:
Pedro animal has the shape of a horse. The animal is made up of different shapes, we can see that the shapes Pedro animal is made up of consist of two triangles, three rectangles and a hexagon.
All this shapes mentioned above (triangle, rectangle and hexagon) that are used in making this animal have sides with straight edges. Therefore the sides of all the shapes are straight.
Answer: The distance to the lodge is 1514 ft
Step-by-step explanation: Please refer to the diagram attached.
The point where Alexa is standing at the top of the hill is marked as point A. The vertical height of the hill is from point A to point B which has been given as 1209 ft. Also, when Alexa looks down, she does that at an angle of depression measuring 53 degrees. Therefore while looking at the lodge, she forms an angle between her line of sight and the height of the hill. That angle is calculated as 90 degrees minus 53 degrees and that equals 37 degrees (as shown in the diagram). Note that her line of sight is AC since the ski lodge is at point C. Therefore the distance she must ski in order to get to point C (which shall be represented by X) shall be calculated using trigonometric ratios.
Note that we have a reference angle which is 37. We also have an adjacent which is 1209 (the side that lies between the reference angle and the right angle). And then we want to calculate the hypotenuse, yet unknown, (which is the side facing right angle). Since we have an adjacent, a hypotenuse and the reference angle, X can be calculated as
Cos A = Adjacent/Hypotenuse
Cos A = AB/AC
Cos 37 = 1209/X
By cross multiplication we now have X = 1209/Cos 37
By using our calculator or checking the table of values, Cos 37 = 0.7986
X = 1209/0.7986
X = 1513.899
Approximated to the nearest feet,
X = 1514 ft

- Evaluate the expression ⇨ (-6) squared.


This will be equal to..

Multiply -6 by itself (squaring a number means to multiply the number by itself twice)

-6 multiplied by-6 will get you 36 as the answer.
