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MakcuM [25]
3 years ago
15

Kate build a garden box with four sides if two sets of parallel sides. Which of the following shape could her garden not be

Mathematics
1 answer:
shtirl [24]3 years ago
3 0

Answer:

A Trapezoid

Step-by-step explanation:

Just took the Test (mark As Brainliest PLz

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the trailer cost one-fourth as much as the boat. the total cost of both is 4,000 how much did each cost
Katarina [22]

Answer: Boat  cost $ 3200

Trailer cost $ 800

Step-by-step explanation:  From the statement , the coat of Trailer (t) = 1/4 of the coat of the boat ( b)

i.e t = 1/4b

multiply through by 4

4t = b

both cost 4,000

i.e t + b = 4000

recall: b = 4t

therefore

t + 4t = 4000

5t      = 4000

       t = 4000/5

       t = 800

       b = 4000 - 800

       b = 3200

4 0
4 years ago
What is the mean of these numbers ? <br> 2,8,4,6,5
MrRa [10]

Answer:

5 is the mean

Step-by-step explanation:

4 0
3 years ago
Question 2
prisoha [69]

Answer:

Please check the explanation.

Step-by-step explanation:

<u>Calculating the area of the outer rectangle:</u>

Given

  • The length outer rectangle = l = 3x - 1
  • The width of outer rectangle = w = 5x + 2

Thus,

The area of the outer rectangle:

A = wl

    = (5x + 2) (3x - 1)

    =5x\cdot \:3x+5x\left(-1\right)+2\cdot \:3x+2\left(-1\right)

     =5\cdot \:3xx-5\cdot \:1\cdot \:x+2\cdot \:3x-2\cdot \:1

      =15x^2+x-2

<u>Calculating the area of the inner rectangle:</u>

Given

  • The length inner rectangle = l = x + 7
  • The width of inner rectangle = w = x

Thus,

The area of the outer rectangle:

A = wl

   = x(x+7)

   = x² + 7

<u>Calculating the area of the shaded region:</u>

As

The area of the outer rectangle = 15x² + x - 2

The area of the inner rectangle = x² + 7

  • The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.

Thus,

shaded region Area = Outer Rectangle Area - Inner Rectangle Area

                                  = 15x² + x - 2 - (x² + 7)

                                   =  15x² + x - 2 - x² - 7

                                   = 14x² + x - 9

Therefore, the Area of the shaded region is: 14x² + x - 9

4 0
3 years ago
The variables x and y vary inversely. When y is 10, x is 10. What is x when y is 20
dezoksy [38]
<span>inversely
y = k/x
k = yx
k = 10*10 = 100

when y = 20

20 = 100/x
20x = 100
   x = 5

answer
</span><span> x = 5 when y is 20</span>
8 0
3 years ago
1 The prism-shaped roof has equilateral triangular bases. Use the model you created in question #1 to calculate the height of th
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

Step-by-step explanation:  As shown in the attached figure, the prism-shaped roof has equilateral triangular bases, one of which is ΔABC. We need to create an equation that models the height of one of the roof's triangular bases in terms of its sides. Let ii be AD.

See the figure attached herewith, ΔABC forms an equilateral triangle, in which AD is the height. So, D will be the mid-point of BC and ∠ADB = ∠ADC = 90°.

Now, in ΔADB, we have

AD^2=AB^2-BD^2

AD^2=AB^2-(1/2AB^2)^2

AD=√3/4AB^2

we can find the height of any one of the roof's triangular bases.

2.1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythagorean theorem, as shown in the picture, the height is √3/2a

2. if a=25 ft, then the height is  √3/2a=√3/2*25=1.732/2*25=21.7(ft)

3. consider picture 2. Let the length of the roof be l feet.

one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l

the lateral Area of the roof is 3a*l

the area of the equilateral surfaces is 2*(1/2*a*√3/2a)=√3/2a^2  

so the total area of the roof is  

4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.

So the total area found previously will be decreased by al

5. so the area now is √3/2a^2 + 2al  

6. now a=25 and l=2a=50

Area= √3/2a^2+2al=√3/2*25^2+2*25*50=25^2(√3/2+4)=625*4.866

=3041.3 (ft squared)

6 0
3 years ago
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