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lyudmila [28]
3 years ago
8

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x –

72.5| = 4. What are the minimum and maximum temperatures in the house? 72.5°F and 76.5°F 68.5°F and 76.5°F 70.5°F and 74.5°F 72.5°F and 74.5°F
Mathematics
2 answers:
harkovskaia [24]3 years ago
5 0

Answer:

B

Step-by-step explanation:

68.5 and 76.5

slava [35]3 years ago
4 0

Answer:

The minimum and maximum temperatures in the house are 68.5°F and 76.5°.

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The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l
sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

A=\frac{\sqrt{3} }{4} x^2

(c)

A=\frac{3\sqrt{3} }{2} x^2

(d)

V=\frac{3\sqrt{3} }{2} x^3 units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

=\frac{\sqrt{3} }{4} b^2

h=3x

b=x

now, we can plug values

A=\frac{\sqrt{3} }{4} x^2

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

=6\times \frac{\sqrt{3} }{4} x^2

=\frac{3\sqrt{3} }{2} x^2

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)

V=\frac{3\sqrt{3} }{2} x^3 units^3


3 0
3 years ago
Read 2 more answers
Suppose you are the president of the student government. You wish to conduct a survey to determine the student​ body's opinion r
patriot [66]

The best way to five students from a list of 626 students available such that it exhibits a random process is to List each name on a separate piece of paper; place them all in a hat, and pick five.

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Hence, listing the names of each student on a Seperate piece of paper, placing it in a hat and making 5 selections showcase randomness and transparency, hence, it should be the adopted selection process.

Learn more : brainly.com/question/12719645?referrer=searchResults

5 0
3 years ago
(7^2)^4= n^8 solve for n
S_A_V [24]

Answer:

n=7

Step-by-step explanation:

(7^2)^4= n^8

We know that a^b^c = a^(b*c)

7^(2*4) = n^8

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4 0
3 years ago
-12 - 6p - (-2) combining like terms with negative coefficients
vlada-n [284]

- 12 - 6p - (-2) =

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4 0
3 years ago
1
ANEK [815]

9514 1404 393

Answer:

  x > -5

Step-by-step explanation:

  (2/5)(x -1) < (3/5)(x +1) . . . . . given

  2(x -1) < 3(x +1) . . . . . . . . . . .multiply by 5

  2x -2 < 3x +3 . . . . . . . . . . .  eliminate parentheses

  -5 < x . . . . . . . . . . . . . . . . . . add -2x-3 to both sides

This matches the second answer choice: x > -5.

6 0
3 years ago
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