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vovangra [49]
3 years ago
14

Which ordered triple is plotted?

Mathematics
1 answer:
Naddik [55]3 years ago
7 0

Answer:

(3,5,4)

Step-by-step explanation:

For x, y, z axis plots, we see how many units it goes in x direction(front/back), how many units in y(right/left) direction, and how many units in z direction (up/down).

Looking at the graph, we see that point goes in x-direction 3 units positive, so x point is +3.

Also, looking at y-direction, it goes 5 units to the right, which is +5 units. So y = +5

Then, the point then goes UP (which is positive z direction) 4 units, so that's z = +4

The ordered triple is (3,5,4)

2nd answer choice is right

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Step-by-step explanation:

7 0
3 years ago
A carpenter is making a rectangular form for a concrete pad she wants the length of the path to be 11 feet more than the width o
Basile [38]

Answer:

Length = 16 or -5 feet.

Width = 5 or -16 feet.

Step-by-step explanation:

Let the length of the concrete pad = l

Let the width of the concrete pad = w

<u>Given the following data;</u>

Area of concrete pad, a = 80ft²

Translating the word problem into an algebraic equation, we have;

l = 11 + w

<em>We know that, the area of rectangle, A = length * width</em>

A = l*w

<em>Substituting the values into the equation, we have;</em>

80 = (11 + w)w

<em>Expanding the bracket, we have;</em>

80 = 11w + w^{2}

w^{2} + 11w - 80 = 0

*Solving the quadratic equation by using factorization method*

w^{2} + 16w - 5w - 80 = 0

w(w + 16) - 5(w + 16) = 0

(w - 5)(w + 16) = 0

Width, w = 5 feet or w = -16 feet.

<em>Therefore, the width of the concrete pad is 5 feet or -16 feet.</em>

<em>To find its length, l;</em>

l = 11 + w

When w = 5 feet

l = 11 + 5

Length, l = 16 feet

When w = - 16 feet

l = 11 + (-16)

l = 11 - 16

Length, l = -5 feet.

Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.

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3 years ago
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The percentage of the week is 50.245.
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2 years ago
? A mug can hold 13.46 oz of coffee without overflowing. The radius of the mug is 3 cm. Given that 1 cm3 equals 0.034 oz, what i
Elan Coil [88]

Answer:

14 cm

Step-by-step explanation:

Given:

A mug can hold 13.46 oz of coffee.

The radius of the mug is 3 cm.

Given that 1 cm^{3} equals 0.034 oz.

Question asked:

What is the height of the mug to the nearest centimeter ?

Solution:

Given that 1 cm^{3} equals 0.034 oz.

By unitary method:

0.034 oz = 1 cm^{3}

1 oz = \frac{1}{0.034}

13.46 oz = \frac{1}{0.034}\times13.46 =395.88 \ cm^{3}

A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88 cm^{3}. Now we can find the height of the mug by using volume of cylinder formula:

volume of cylinder = \pi r^{2} h

                   395.88=\frac{22}{7} \times3\times3\times \ h\\395.88=\frac{198 \ h}{7}

By cross multiplication:

                 395.88\times 7 =198\ h\\2771.16= 198\ h

By dividing both side by 198

h = 13.99 cm

Therefore,  height of the mug to the nearest centimeter is 14 cm.

                   

6 0
3 years ago
Read 2 more answers
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