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ryzh [129]
3 years ago
11

Help me solve this please

Mathematics
1 answer:
Semenov [28]3 years ago
5 0

\huge\underline{ \underline{ \bf{Answer࿐} }}

parallel sides measure :

  • 10 ft -(a)
  • 12 ft. -(b)

Area :

  • 44 ft²

height (h) = x

___________________

\boxed{Area =  \frac{1}{2}  \times (a + b) \times h}

  • \dfrac{1}{2}  \times (10 + 12) \times x = 44

  • \dfrac{1}{2}  \times 22 \times x = 44

  • 11x = 44

  • \boxed{ 4 \:  \: ft}

Therefore, height of Trapezoid is 4 ft

_____________________________

\mathrm{ \#TeeNForeveR}

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A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?
schepotkina [342]

Answer:

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

0.25x+ 0.4y = 72...... Equation 2

We substitute 240 - y for x in Equation 2

0.25(240 - y)+ 0.4y = 72

60 - 0.25y + 0.4y = 72

Collect like terms

- 0.25y + 0.4y = 72 - 60

0.15y = 12

y = 12/0.15

y = 80 Liters

Solving for x

x = 240 - y

x = 240 liters - 80 Liters

x = 160 liters

Therefore,

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

5 0
2 years ago
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slava [35]
5p-4p-8=-2+3

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Add 8 to both sides to isolate p
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<span>CD=AC it is shown in diagram so which means AC is bisected</span>
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The domain of the function <br> g(x) = √(x2−3x−4) is? Use the fishball method
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Result: 
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eduard

Answer:

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Step-by-step explanation:

Construction of parallel lines is accomplished by copying an angle. Here, the steps shown will result in copying the angle IDJ if the distance IJ is marked on the arc through k, then a line drawn through C and the point just marked.

4 0
3 years ago
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