Answer:
51 m^2
Step-by-step explanation:
The shaded area is the difference between the area of the overall figure and that of the rectangular cutout.
The applicable formulas are ...
area of a triangle:
A = (1/2)bh
area of a rectangle:
A = bh
area of a trapezoid:
A = (1/2)(b1 +b2)h
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We note that the area of a triangle depends only on the length of its base and its height. The actual shape does not matter. Thus, we can shift the peak of the triangular portion of the shape (that portion above the top horizontal line) so that it lines up with one vertical side or the other of the figure. That makes the overall shape a trapezoid with bases 16 m and 10 m. The area of that trapezoid is then ...
A = (1/2)(16 m + 10 m)(5 m) = 65 m^2
The area of the white internal rectangle is ...
A = (2 m)(7 m) = 14 m^2
So, the shaded area is the difference:
65 m^2 -14 m^2 = 51 m^2 . . . . shaded area of the composite figure
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<em>Alternate approach</em>
Of course, you can also figure the area by adding the area of the triangular "roof" to the area of the larger rectangle, then subtracting the area of the smaller rectangle. Using the above formulas, that approach gives ...
(1/2)(5 m)(16 m - 10 m) + (5 m)(10 m) - (2 m)(7 m) = 15 m^2 + 50 m^2 -14 m^2
= 51 m^2
Answer:
d
Step-by-step explanation:
The observed results would be very unlikely if the alternative hypothesis were true.
What does the alternative hypothesis mean?
A statement used in experiments using statistical inference is known as the alternative hypothesis. It is indicated by Ha or H1 and runs counter to the null hypothesis.
Alternatively, it is only a null-free option, as we can also state. An alternative theory is a claim that a researcher is testing in a hypothesis test.
What is an illustration of a different hypothesis?
Just like the null, the alternative hypothesis is an option. For instance, if your null is "I'm going to win up to $1,000" and your alternate is "I'm going to win $1,000 or more," you're essentially determining whether there is sufficient variance in the alternate hypothesis to allow you to reject the null hypothesis.
Learn more about alternative hypothesis
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Take it apart mentally cylinder+2hemispheres 2hemispheres=2half spheres=1 sphere 15=radius of sphere+legnth of cylinder+radius of spehre diameter=5 d/2=5/2=r 15=2.5+legnth+2.5 10=legnth of cylinder surface area of sphere=4pir^2 surface area of cylinder (not including bases) is pidh sphere radius=2.5 SA=4pi2.5^2 SA=4pi6.25 SA=25pi SA=78.5 sphere area SA=5pi10 SA=50pi SA=157 add them 78.5+157=235.5 mm^2
