Jerry was dividing 877.34 by 0.01.

Mathematics

2 answers:

iren2701 [21]3 years ago

5 0

It will most def be less than 90,000

Anni [7]3 years ago

3 0

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A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

dusya [7]

1. Check the picture. Let the radius of the semicircle be R, so the width of the rectangle is 2R, and let the height of the rectangle be H.

2. The perimeter of the semicircle is $\frac{1}{2}*circumference = \frac{1}{2}*2 \pi R=\pi R$

the total perimeter is $\pi R+2H+2R=2H+( \pi +2)R$

We can write H in terms of R, in order to decrease the number of variables:

$2H+( \pi +2)R=22$

$2H=22-( \pi +2)R$

$H= \frac{22-( \pi +2)R}{2} =11- \frac{( \pi +2)R}{2}$

3. The total area as a function of R is the area of the semicircle + the area of the rectangle:

$A(R)= \pi R^2+2R*H=\pi R^2+2R*(11- \frac{( \pi +2)R}{2})=$

$\pi R^2+22R-( \pi +2)R^2=\pi R^2+22R- \pi R^2 -2R^2=22R-2R^2$

so $A(R)=22R-2R^2$ is clearly a quadratic function, with its graph a parabola which opens downward (since the coefficient of R^2 is negative)

The maximal value of A(R) is the maximal value the parabola can reach, that is its vertex.

4. $A(R)=22R-2R^2=2R(11-R)$ means the roots are at R=0 and R=11, so the axis of symmetry passes through R=11/2

thus the vertex point is (11/2, A(11/2))=(11, 2*(11/2)(11-11/2))=(11, 11*11/2)=(11,121/2)
=(11, 60.5)

5. Answer: Largest possible area is 60.5 feet squared

8 0

3 years ago

Please please please help me with two questions. Answer correctly for brainlist!!!!

Vesnalui [34]

1. 28.57

2. 16

Hope this is right.

5 0

4 years ago

Read 2 more answers

Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the

Klio2033 [76]

This question is incomplete because the options are missing; here is the complete question:

Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the best way Kareem can get a representative sample?

A. He can randomly survey 50 boys in the school.

B. He can survey 30 students in the school band.

C. He can randomly survey 50 6th graders in the school.

D. He can survey 20 friends from his neighborhood.

The correct answer is C. He can randomly survey 50 6th graders in the school.

Explanation:

A representative sample is a portion of a population that shows the characteristics of all the population. In this context, for a sample to be representative it needs to include only individuals of the population that is studied. Also, ideally, individuals should be selected randomly as this guarantees the sample is not influenced by the researcher. According to this, option C is the best as this is the only one that focuses on the target population (6th graders) and the sample is random, which contributes to the sample being objective and representing the behavior of 6th-graders.

4 0

3 years ago

Which triangles are similar by the angle-angle criterion for similarity of triangles ?

Alex Ar [27]

Answer:

Option D is correct.

$\triangle ADE \sim \triangle ABC$