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3 years ago

Complete the equation so that it has infinitely many solutions. 1/2(4−z)

Mathematics

1 answer:

Semenov [28]3 years ago

7 0

Answer:

2−0.5z

Step-by-step explanation:

boom shacka laka so I've had this question before and i was just like whatever so i got it wrong and then i got the answer in the answer key :)

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Helpp!!!! I need the correct answer

zmey [24]

Answer:

Negative Association, Linear Association and Non-Linear Association

Step-by-step explanation:

7 0

2 years ago

What’s 3•5+-5•4 And the dot is multiplication!

NeTakaya

-5 is the answer ...............

8 0

3 years ago

A garden is shaped in the form of a regular heptagon (seven-sided), MNSRQPO. A circle with center T and radius 25m circumscribes

Alenkinab [10]

The relationship between the sides MN, MS, and MQ in the given regular heptagon is $\dfrac{1}{MN} = \dfrac{1}{MS} + \dfrac{1}{MQ}$

The area to be planted with flowers is approximately 923.558 m²

The reason the above value is correct is as follows;

The known parameters of the garden are;

The radius of the circle that circumscribes the heptagon, r = 25 m

The area left for the children playground = ΔMSQ

Required;

The area of the garden planted with flowers

Solution:

The area of an heptagon, is;

$A = \dfrac{7}{4} \cdot a^2 \cdot cot \left (\dfrac{180 ^{\circ}}{7} \right )$

The interior angle of an heptagon = 128.571°

The length of a side, S, is given as follows;

$\dfrac{s}{sin(180 - 128.571)} = \dfrac{25}{sin \left(\dfrac{128.571}{2} \right)}$

$s = \dfrac{25}{sin \left(\dfrac{128.571}{2} \right)} \times sin(180 - 128.571) \approx 21.69$

$The \ apothem \ a = 25 \times sin \left ( \dfrac{128.571}{2} \right) \approx 22.52$

The area of the heptagon MNSRQPO is therefore;

$A = \dfrac{7}{4} \times 22.52^2 \times cot \left (\dfrac{180 ^{\circ}}{7} \right ) \approx 1,842.94$

$MS = \sqrt{(21.69^2 + 21.69^2 - 2 \times 21.69 \times21.69\times cos(128.571^{\circ})) \approx 43.08$

By sine rule, we have

$\dfrac{21.69}{sin(\angle NSM)} = \dfrac{43.08}{sin(128.571 ^{\circ})}$

$sin(\angle NSM) =\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ})$

$\angle NSM = arcsin \left(\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ}) \right) \approx 23.18^{\circ}$

∠MSQ = 128.571 - 2*23.18 = 82.211

The area of triangle, MSQ, is given as follows;

$Area \ of \Delta MSQ = \dfrac{1}{2} \times 43.08^2 \times sin(82.211^{\circ}) \approx 919.382^{\circ}$

The area of the of the garden plated with flowers, $A_{req}$ , is given as follows;

$A_{req}$ = Area of heptagon MNSRQPO - Area of triangle ΔMSQ

Therefore;

$A_{req}$ = 1,842.94 - 919.382 ≈ 923.558

The area of the of the garden plated with flowers, $A_{req}$ ≈ 923.558 m²

Learn more about figures circumscribed by a circle here:

brainly.com/question/16478185

6 0

2 years ago

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 6 rows of the same length, he

vladimir2022 [97]

We will need to have two equations here, having x as the missing length. We know that the chairs are in the same amount on each occasion, so each equation should be equal to the other.

This sets up a problem of:

6x + 7 = 4x + 13

7 and 13 being the leftover chairs and 6 and 4 being the rows. Let’s solve for x.

x = 3

Knowing this, we plug in x for one of the equations

6(3) + 7
18 + 7
25

Liam has 25 chairs.

7 0

2 years ago

A grain silo has a circular base with an area of 260 square feet and is 21 feet tall What is the total volume?

Leya [2.2K]

The correct answer is 5460 cubic feet or 5460 $ft^{3}$

Explanation:

The silo has a cylindrical shape, in this context, the volume of the silo or any other cylinder can be calculated by using the formula $Volume =\pi r^{2} h$ . In this formula the symbol $\pi$ refers to the number 3.1415..., the letter $r$ refers to the radius of the base and the letter $h$ refers to the height.

Moreover, in this case, it is known the heigh (21 feet) and the area of the base (260 square feet). Additionally, this area of the base is the result of the formula $Area = \pi r^{2}$ , which is exactly the first section of the formula to find the volume. This implies that by multiplying the area of the base by the height the volume is known. Here is the process:

$Volume = \pi r^{2} h$ or $Volume = Ah$ (Area of the base × height)

$V = 260 square feet$ × $21 feet$

$V = 5460 cubic feet$

6 0

2 years ago