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sesenic [268]
3 years ago
8

the providence children muesuem installed a fence around the perimeter of the propety. the propety is a rectangle. one side is 3

7 meters long. and the entire perimeter is 164 meters. what are the measurements of the other three sides.
Mathematics
1 answer:
mash [69]3 years ago
7 0
Its a rectangle so two sides are equal and both sides that are opposite of each other are equal. So two sides are 37. Then you add them together to get 74, then subtract it from 164 to get 90 the rest of the fence length. Then divide it by two to get 45 which is the other side lengths, so it would be a 37 by 45 rectangle one side would be 37 while the other two are 45.
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A store sells Brazilian coffee for $10 per lb. and Columbian coffee for $14 per lb. If the store decides to make a 150-lb. blend
Artemon [7]

Answer:

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

Step-by-step explanation:

Let "b" be the amount of Brazilian coffee, in pounds, required for the blend and "c" the amount of Colombian coffee required, in pounds.

Since there are two unknown variables a two-equation system is needed to solve the problem, we can set up one equation for weight and another for price as follows:

b+c=150\\10*b+14*c=11*150

Solve for "c" by multiplying the first equation by -10 and adding it to the second one:

b+c=150\\10b+14c -10b-10c=11*150 -(10*150)\\4c=150\\c = 37.5

Now, solve for b by replacing the value obtained into the first equation

b+c=150\\b= 150 - 37.5\\b=112.5

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

6 0
3 years ago
The base of a solid oblique pyramid is an equilateral triangle with an edge length of s units. Which expression represents the h
aev [14]

Answer:

The height of the triangular base of the pyramid is s√3/2 units

Step-by-step explanation:

Here in this question, what we are concerned with is to calculate the height of the equilateral-triangle base of the oblique pyramid.

From the question, we are told that the equilateral triangle has a length of a units.

Let’s have a recall on some of the properties of equilateral triangles;

a. All sides are of equal lengths. Meaning side s is the length of all the sides in this case.

b. All angles are equal, meaning they are 60 degree each.

c. Dropping a perpendicular line from the top vertex to the base length will split the equilateral triangle into two right-angled triangles of angles 60 and 30 each.

So to find the height of this triangular base, we can use any of the two right angled triangles.

Kindly recall that the properties of each would be angles 30, 60 and side length s

so to calculate the height h, we can use trigonometric identities

Mathematically, the trigonometric identity we can use is the sine( side length s represents the hypotenuse, while the height h represents the opposite facing the angle 60 degrees)

Thus; we have

Sine of an angle = length of the opposite/length of hypotenuse

sin 60 = h/s

h = s sin 60

In surd form,

sin 60 = √3/2

Thus;

h = s * √3/2 = s√3/2 units

3 0
3 years ago
HURRYYYYY PLEASSSSEEE
liubo4ka [24]

Answer:

This is getting reported.

Step-by-step explanation:

6 0
3 years ago
Which function has two x-intercepts, one at (0,0) and one at (4,0)?
Tcecarenko [31]

Answer:

f(x)=x(x-4)

Step-by-step explanation:

Given: Function has two x-intercepts, one at (0,0) and one at (4,0)

To choose: the correct option

Solution:

x-intercepts of are the points whose x-coordinate is 0.

Consider f(x)=x(x-4)

Put x=0

f(0)=0(0-4)=0

Put x=4

f(4)=4(4-4)=0

So, the function f(x)=x(x-4) has two x-intercepts, one at (0,0) and one at (4,0).

6 0
3 years ago
Solve the equations by elimination method
notsponge [240]

Answer: 1375

Step-by-step explanation:

70-2= 70

70/2=35 (x=35)

4x=140

x^35=1225

1225+140=1375

3 0
3 years ago
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