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1 year ago

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For which inequality would x = 8 not be a solution?4x + 3 > 09x - 5 < 100x + 4 ≤ 1072 ÷ x ≥ 4

1 answer:

galina1969 [7]1 year ago

5 0

Given:

Given the inequalities:4

$\begin{gathered} 4x+3>0 \\ 9x-5$

Required: Identify the inequality in which x = 8 is a solution.

Explanation:

Substitute 8 for x in each inequality and check whether it satisfies the inequality.

Consider 4x + 3 > 0.

$4\cdot8+3=35>0$

So, x = 8 satisfies the inequality 4x + 3 > 0.

Consider 9x - 5 < 100.

$9\cdot8-5=67$

So, x = 8 satisfies the inequality 9x - 5 < 100.

Consider x + 4 ≤ 10.

$8+4=12>10$

So, x = 8 not satisfies the inequality.

Consider 72 ÷ x ≥ 4.

$72\div8=9\ge4$

So, x = 8 satisfies the inequality.

Final Answer: The inequality in which x = 8 is not a solution is x + 4 ≤ 10.

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makkiz [27]

Answer:

h=123,200

Step-by-step explanation:

First you must in the formula for the pyramid, which is

$v=\frac{wlh}{3}$

and as far as the question has gave us

V=18069333.33333

LW=440

1.) Plug those numbers into the the equation, which should be:

$(18,069,333.33333)= \frac{(440)h}{3}$

2.) Then isolate the "h" by dividing both sides by $\frac{440}{3}$ , or multiplying its reciprocal, which is $\frac{3}{440}$

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3 years ago

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Sonja [21]

The volume of the pyramid is $726 \mathrm\ {cm}^{3}$

Explanation:

The height of the square pyramid is 18 cm

The base of the square pyramid is 11 cm

The volume of the square pyramid can be determined using the formula,

$V=\frac{1}{3} b^{2} h$

Substituting $b=11$ and $h=18$ in the formula, we have,

$V=\frac{1}{3} (11)^{2} (18)$

Simplifying, we have,

$V=\frac{1}{3} (121)(18)$

Multiplying, we get,

$V=\frac{2178}{3}$

Dividing, we get,

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3 years ago

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of

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Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of D is five-halves the measure of Y. Find the measure of each angle of the deck.

Answer:

$\angle G = \angle Y = 51.43 ^{\circ}$

$\angle D = \angle R = 128.57 ^{\circ}$

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: $\angle D = \frac{5}{2}\angle Y$

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

$\angle D = \angle R = \frac{5}{2}\angle Y$

and

$\angle G = \angle Y$

The sum of angles is given as:

$\angle D + \angle G + \angle R + \angle Y=360^{\circ}$

Substitute values for $\angle D, \angle G \ \& \angle R$

$\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}$

Take LCM

$\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}$

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Multiply both sides by $\frac{2}{14}$

$\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}$

$\angle Y= 360^{\circ} * \frac{2}{14}$

$\angle Y= \frac{ 360^{\circ} *2}{14}$

$\angle Y= \frac{720^{\circ}}{14}$

$\angle Y= 51.43 ^{\circ}$

So:

$\angle G = \angle Y = 51.43 ^{\circ}$

$\angle D = \frac{5}{2}\angle Y$

$\angle D = \frac{5}{2} * 51.43^{\circ}$

$\angle D = \frac{5* 51.43^{\circ}}{2}$

$\angle D = \frac{257.15^{\circ}}{2}$

$\angle D = 128.57 ^{\circ}$

Hence:

$\angle D = \angle R = 128.57 ^{\circ}$

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