MATHEMATICS HIGH SCHOOL

The equatorial diameter of a model of earth is 25.6 cm. What is the total surface area of the model​

Answers

Answer 1
Answer:

Answer:

2059.7\,\,cm^2

Step-by-step explanation:

Diameter of a model of earth (D) = 25.6 cm

Radius of a model of earth (r) = (D)/(2)=(25.6)/(2)=12.8\,\,cm

Earth has the shape of a sphere.

Total surface area of a sphere = 4\pi r^2

Put \pi=(22)/(7)\,,\,r=12.8\,\,cm

So,

Total surface area of the model =4((22)/(7))(12.8)^2=2059.7\,\,cm^2

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Let f(x) = 3x2 – x 2 and g(x) = 5x2 – 1. Find f(g(x)). Show each step of your work.
4/9 of the 270 members of a hunting club are females. How many male members are there ?
Solve for D 6/34 = D/68
A bicycle is on sale at $12 more than half of the regular price. If the sale price is $75, find the regular price.

Vertex (0,0) focus (0,-1)A) y=1/4 x^2
B) y=-1/4x^2
C) y=1/16x^2
D) y=-1/16x^2

Answers

Answer:B

Step-by-step explanation:

This system has one solution. What is the y-coordinate of the solution? y = 5x - 9
y = x^2 - 3x + 7

Answers

set 5x-9 = x^(2) - 3x + 7
⇒ 0 = x^(2) - 8x + 16
⇒ factoring we get... 0 = (x-4)² so the x-coordinate for the solution is x = 4
To find the y-coordinate, plug x = 4 into one of the equations (you can plug it into both just to make sure you're right).
y = 5x - 9 plug in x = 4 ⇒ y = 5(4) - 9 = 20 - 9 = 11
y = x^(2) - 3x + 7 plug in x = 4 ⇒ y = (4)² - 3(4) + 7 = 16 - 12 + 7 = 11
∴ The solution to the system is (4, 11) which has y-coordinate 11.

A student constructs the angle bisectors of a triangle and then uses their intersection point as the center of a circle. The student has constructed which of the following?A. Concentric circles of a triangle
B. A circumscribed circle of a triangle
C. An inscribed circle of a triangle
D. The perpendicular bisector of the triangle

Answers

"An inscribed circle of a triangle" is the one among the following choices given in the question that the student has constructed. The correct option among all the options that are given in the question is the penultimate option or option "C". I hope that this is the answer that you were looking for and it has come to your help.

The answer is C. An inscribed circle of a triangle APEX 2018

The product of (3+2i)and a complex number is (17+7i). The complex number is?

Answers

Hi there! Let x be the complex number. (3+2i)(x)=(17+7i), (x)=(17+7i)/(3+2i)=(17+7i)/(3+2i)*(3-2i)/(3-2i), (17+7i)*(3-2i)/(9+4), (51-34i+21i+14)/13), (65-13i)/13, 13(5-i)/13=(5-i). Therefore, the complex number is (5-i).

What is the area of the figure?

Answers

area of the square is 30 . area of the triangle is 6 . so 36

You want to buy an item that costs $100. Which of these is the most cost-effective choice for buying the item?. a. using a paid membership card to buy it at a 10 percent discount. b. buying it online at a 10 percent discount with a $5 shipping charge. c. buying it at a 10 percent discount without sales tax.

Answers

Answer

c. buying it at a 10 percent discount without sales tax.


Explanation

We are going to compare the 3 choices and then determine the most cost effective.

a. using a paid membership card to buy it at a 10 percent discount.

10% of $100 = 10/100×100 = $10

cost = $100 - $10 = $90

On top of this $90 there is the charges of the membership card.

b. buying it online at a 10 percent discount with a $5 shipping charge.

100%-10% = 90%

90% of 100 = $90

Cost: $90 + $5 = $95

c. buying it at a 10 percent discount without sales tax.

100% - 10% = 90%

90/100 × 100 = $90. This is the must cost effective method since there is no other cost involved.


the one that is the most cost-effective choice for buying the item would be : C. buying it a percent discount without sales tax

With this option, you can get a clear $ 10 cut which is higher compared to the other options

hope this helps
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