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Natali5045456 [20]
4 years ago
10

Which linear system of equations does this matrix represent

Mathematics
1 answer:
NNADVOKAT [17]4 years ago
4 0

.\ \ \ x\ \ \ \ y\\\left[\begin{array}{ccc}-3&5\\2&5\end{array}\right\left|\begin{array}{ccc}15\\-10\end{array}\right]\\\\\left\{\begin{array}{ccc}-3x+5y=15\\2x+5y=-10\end{array}\right \to\boxed{C.}

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The total area of the polygon is 176 square feet. Find the value of x.
My name is Ann [436]

Answer:

x = 6 ft

Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 = \frac{1}{2}(\text{Base})(\text{Height})

                                                              = \frac{1}{2}(x)(8)

                                                              = 4x square feet

Area of rectangle 2 = Length × Width

                                 = 16 × 8

                                 = 128 square feet

Total area of the given polygon = 4x + 128 + 4x

176 = 8x + 128

8x = 176 - 128

x = \frac{48}{8}

x = 6 ft

5 0
3 years ago
Read 2 more answers
Mr. Jones bought a block of fudge that weighed 1/4 of a pound. He divided the fudge into 2 equal pieces. What was the weight of
Korolek [52]
You would do 1/4 x 1/2 to get 1/8 of a pound.
7 0
3 years ago
Historical data for a local steel manufacturing company shows that the average number of defects per standard sheet of steel is
Yanka [14]

Answer:

Therefore the correct answer is A.) 84.88%

Step-by-step explanation:

i) λ = 2

ii) λ for three units = 2 \times 3 = 6

iii) P(x ≥ 4) = 1 - P(x < 4) = 1 - {P(x = 0) + P(x = 1) + P(x = 2)  + P(x = 3) }

                                = 1 - { \frac{e^{-6}6^{0} }{ 0!} + \frac{e^{-6}6^{1} }{ 1!}  + \frac{e^{-6}6^{2} }{ 2!} + \frac{e^{-6}6^{3} }{ 3!}  }

                                = 1 - (0.0025 + 0.0149 + 0.0446 + 0.0892)

                                = 0.8488

 Therefore the correct answer is A.) 84.88%

 

8 0
3 years ago
Which graph is an example of a function?
Artist 52 [7]

Answer:

the graph that represents a function is B

Step-by-step explanation:

if you look at B it is facing from-to +, which means that question B is a function

4 0
3 years ago
A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?
xenn [34]

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³   (1)

Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

<h2>Vs = 4/3 Vc</h2>

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

8 0
3 years ago
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