Answer:
D. 70°
Step-by-step explanation:
the sum of the unknown angle and 110° is 180 °
so, let the unknown angle be x
x+110 = 180
x = 180-110
x = 70°
For this case we have the following exponential function:
Evaluating the function for x = -1 we have:
By power properties we can rewrite the function.
We have then:
Answer:
The value that completes the table when x = -1 is:
D. 2
Answer:65miles
Step-by-step explanation:
Let the needed miles be x
(67+62+59+47+x)/5=60
235+x=60×5
235+x=300
x=300-235
x=65miles
Answer:
289.877 ft
Step-by-step explanation:
You can draw the eagle and mouse by using a right triangle. You know that the height of the triangle will be 280 feet and the distance between eagle and mouse should be the hypotenuse. Since we know the angle and one side of the triangle, we can use trignometry (cosine(angle)=adjacent/hypotenuse). Plug in your values and solve for the hypotenuse.
Answer:
1400 square units
Step-by-step explanation:
The area can be computed by subtracting the areas of the white rectangles at three corners from the overall 60×30 rectangle.
The upper left corner white space is 10×10 = 100 square units.
The upper right and lower left white spaces are 15×10 = 150 square units each.
Then the shaded area is ...
60×30 -100 -2(150) = 1800 -100 -300 = 1400 . . . square units
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<em>Alternate solution</em>
You can extend each of the horizontal edges across the figure to divide it into three rectangles. From the top down, these have dimensions and areas of ...
35×10 +60×10 +45×10 = 10(35+60+45) = 10(140) = 1400 . . . square units
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Area of a rectangle is the product of length and width.
