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Rus_ich [418]
4 years ago
5

The length of a rectangle is 6 cm longer than the width. the perimeter of the rectangle is 92 cm. find the length and the width

of the rectangle.
Mathematics
1 answer:
Bess [88]4 years ago
3 0
Taking that the width is x

width: x cm
length: (x+6)cm
perimeter:
92 = 2((x + 6) + x)
hence,
4x = 92 - 12 = 80
therefore, x=20

hence, since the width is 20cm, the length would be 26cm
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The Louvre museum in France has a glass pyramid in front. The sides measure 114 feet and it reaches a height of 71 feet. How man
enot [183]

Answer:

307,572\ ft^{3}

Step-by-step explanation:

we know that

The volume of a pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the base of the pyramid

h is the height of the pyramid

Find the area of the base B

B=114^{2}=12,996\ ft^{2}

we have

h=71\ ft

substitute the values

V=\frac{1}{3}(12,996)(71)=307,572\ ft^{3}

6 0
4 years ago
Are f and g inverses of each other? Support your response algebraically
NeTakaya

Answer:

see explanation

Step-by-step explanation:

If f(x) and g(x) are the inverses of each other, then

f(g(x)) = g(f(x)) = x

f(g(x)) = f(x - \frac{1}{2}) = x - \frac{1}{2} + \frac{1}{2} = x

g(f(x)) = g(x + \frac{1}{2}) = x + \frac{1}{2} - \frac{1}{2} = x

Hence f(x) and g(x) are the inverse of each other


4 0
3 years ago
Find the range of the data set 7,510,9,15,12,6,9,7,10
Blizzard [7]

Answer: 10

Step-by-step explanation:

So to find range you take the highest number and subtract it by the lowest

3 0
2 years ago
Read 2 more answers
These five frames show a shapes different positions
kipiarov [429]

From the attached image, we can tell that:

From 1 to 2: There is a shift from left to right along the same plane (x-axis).

From 2 to 3: There is a 90° rotation in the clockwise direction.

From 3 to 4: There is a negative vertical shift. Assuming a y-axis this would be from the top down.

From 4 to 5: There is a 180° rotation in the clockwise direction.

<h3>What is a rotation?</h3>

It is to be noted that a rotation is a sort of transformation that rotates each point in a figure a specific number of degrees around a particular point.

Learn more about rotation in math:
brainly.com/question/26249005
#SPJ1

Full Question:

These five frames (in the attached image_ show shapes of different positions. Describe how the shape moves to get from its position in each frame to the next.

7 0
1 year ago
The diagram shows two campsites on opposite ends of a lake and two triangles formed by intersecting segments from the campsites.
Aleks [24]

Answer:

x=42.3m

Step-by-step explanation:

x/47=82.8/92

92x=3891.6= 42.3m is the distance

6 0
3 years ago
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