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Zanzabum
3 years ago
10

Use substitution to solve. x-5y=2 and 9x+8=32y​

Mathematics
1 answer:
Flauer [41]3 years ago
6 0

Answer:

x=-8,y=-2

Step-by-step explanation:

x=2+5 y

put value of x in eq 2

9(2+5 y)+8=32 y

18+45 y+8=32 y

26=32 y-45 y

26=-13 y

y=26/-13

y=-2

put value of y in eq x=2+5 y

x=2+5(-2)

x=2-10=-8

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A square pyramid has a base length of 4 inches. The height of each triangular face is 12 inches. What is the surface area of the
Wittaler [7]

Answer:

The surface area of the given pyramid is 112 inches^{2}.

Step-by-step explanation:

Base length of the pyramid = 4 inches

Area of the base = length^{2}

                            = 4^{2}

                            = 16

Area of its base = 16 inches^{2}

Area of one of its triangular surface = \frac{1}{2} x base x height

                                 = \frac{1}{2} x 4 x 12

                                 = 2 x 12

                                 = 24 inches^{2}

Area of all its four triangular surfaces = 4 x 24

                                                       = 96 inches^{2}

surface area of the pyramid = sum of areas of all its surfaces

                                               = 16 + 96

                                       = 112 inches^{2}

The surface area of the given pyramid is 112 inches^{2}.

8 0
3 years ago
For the right triangle find the missing length Round your answer<br> the nearest teren
Talja [164]

Answer:

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5 0
3 years ago
Evan randomly selects 30 marbles from a bag. His data is given in the table.
Igoryamba
The probability of selecting a yellow marble is #of yellow marbles/total # of marbles= 6/30 or .2 or 20%

If there are 300 marbles in the bag, a good estimate for the total number of red marbles in the bag is 90.

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2 years ago
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ExtremeBDS [4]

Answer:

\frac{24}{25}

Step-by-step explanation:

using the cosine ratio;

\cos(\theta)= \frac{adjacent}{hypotenuse}

From the question, the side of the right angle triangle that is adjacent to the measured <a,(i.e BAC) is AC=24 and the hypotenuse is AB=25

This implies that,

cos(a)= \frac{24}{25}

6 0
3 years ago
Given that ∫51f(x)dx=1,∫53 f(x)dx=3 and ∫61f(x)dx=9 find ∫63 f(x)dx.
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6 0
3 years ago
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