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3 years ago

What equation is equivalent to P = mgh, but solved for Y? please explain

Mathematics

1 answer:

Elan Coil [88]3 years ago

7 0

Potential energy = mass * acceleration due to gravity ( $9.8m/s^2$ ) * height

$P = mgh$
$P/mg = mgh/mg$
$P/mg = h$

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The bank has accepted Mrs. Hudson's application for a mortgage to buy property worth $375,575. She has to pay 19 percent of the

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The loan amount will equal to 304,215.75

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4 years ago

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Unit 7: Polygons and Quadrilaterals Homework 6: Kites Need Help Stat PLEASE HELP!!!!! 20 POINTS

balu736 [363]

1) The measures of angles H and F are 121°, respectively.

2) The measures of angles U and V are 65° and 139°, respectively.

3) The missing angles are $m \angle 1 = 72^{\circ}$ , $m\angle 2 = 72^{\circ}$ , $m\angle 3 = 47^{\circ}$ , $m\angle 4 = 90^{\circ}$ , $m\angle 5 = 18^{\circ}$ , $m\angle 6 = 47^{\circ}$ and $m\angle 7 = 43^{\circ}$ .

4) The missing angles are $m \angle 1 = 55^{\circ}$ , $m\angle 2 = 35^{\circ}$ , $m\angle 3 = 35^{\circ}$ , $m\angle 4 = 90^{\circ}$ , $m \angle 5 = 55^{\circ}$ , $m \angle 6 = 67^{\circ}$ , $m\angle 7 = 67^{\circ}$ , $m\angle 8 = 23^{\circ}$ and $m \angle 9 = 23^{\circ}$ , respectively.

5) The measure of side $QT$ is $\sqrt{105}$ .

6) The measure of side $DF$ is $4\sqrt{26}$ .

7) The measure of side $NP$ is $3\sqrt{65}$ .

8) The value of $x$ is 17.

9) The value of $x$ is 6.

10) The measure of angle EDC is 107°.

11) The measure of angle RST is 122°.

<h3>How find missing angles and sides in rhombuses</h3>

1) According to geometry, the sum of internal angles in a quadrilateral equals 360°. Since the given figure is a kite-type rhombus, the measures of angles H and F are 121°, respectively. $\blacksquare$

2) According to geometry, the sum of internal angles in a quadrilateral equals 360°. Since the given figure is a kite-type rhombus, the measures of angles U and V are 65° and 139°, respectively. $\blacksquare$

3) According to geometry, the sum of internal angles in a triangle equals 180° and the sum of internal angles in a quadrilateral equals 360°. The missing angles are $m \angle 1 = 72^{\circ}$ , $m\angle 2 = 72^{\circ}$ , $m\angle 3 = 47^{\circ}$ , $m\angle 4 = 90^{\circ}$ , $m\angle 5 = 18^{\circ}$ , $m\angle 6 = 47^{\circ}$ and $m\angle 7 = 43^{\circ}$ , respectively. $\blacksquare$

4) According to geometry, the sum of internal angles in a triangle equals 180° and the sum of internal angles in a quadrilateral equals 360°. The missing angles are $m \angle 1 = 55^{\circ}$ , $m\angle 2 = 35^{\circ}$ , $m\angle 3 = 35^{\circ}$ , $m\angle 4 = 90^{\circ}$ , $m \angle 5 = 55^{\circ}$ , $m \angle 6 = 67^{\circ}$ , $m\angle 7 = 67^{\circ}$ , $m\angle 8 = 23^{\circ}$ and $m \angle 9 = 23^{\circ}$ , respectively. $\blacksquare$

5) In this case we need to apply Pythagorean theorem and triangle and quadrilateral properties to determine the missing side:

$QT = \sqrt{PQ^{2}-PT^{2}}$

$QT = \sqrt{13^{2}-8^{2}}$

$QT = \sqrt{105}$

The measure of side $QT$ is $\sqrt{105}$ . $\blacksquare$

6) In this case we need to apply Pythagorean theorem and triangle and quadrilateral properties to determine the missing side:

$DF = 2\cdot DH$ , $DH = \sqrt{DE^{2}-EH^{2}}$

$DF = 2\cdot \sqrt{DE^{2}-EH^{2}}$

$DF = 2\sqrt{15^{2}-11^{2}}$

$DF = 4\sqrt{26}$

The measure of side $DF$ is $4\sqrt{26}$ . $\blacksquare$

7) In this case we need to apply Pythagorean theorem and triangle and quadrilateral properties to determine the missing side:

$NK = 7\cdot x - 1$ , $NM = 10\cdot x - 13$ , $KM = 24$ , $NK = NM$ , $KP = \frac{KM}{2}$

$NP = \sqrt{NK^{2}-KP^{2}}$

$NP = \sqrt{[7\cdot (4)-1]^{2}-12^{2}}$

$NP = 3\sqrt{65}$

The measure of side $NP$ is $3\sqrt{65}$ . $\blacksquare$

8) According to geometry, the sum of internal angles in a quadrilateral equals 360°. Since the given figure is a kite-type rhombus, the value of $x$ is 17. $\blacksquare$

9) According to geometry, the sum of internal angles in a quadrilateral equals 360°. Since the given figure is a kite-type rhombus, the value of $x$ is 6. $\blacksquare$

10) According to geometry, the sum of internal angles in a triangle equals 180°. Hence, we have the following expressions:

$m\angle EDC = 180^{\circ}-90^{\circ}-[2\cdot (2)+13]$

$m\angle EDC = 107^{\circ}$

The measure of angle EDC is 107°. $\blacksquare$

11) According to geometry, the sum of internal angles in a triangle equals 180°. Hence, the angle RST is:

$m\angle RST = 2\cdot (3\cdot 12 +25)$

$m \angle RST = 122^{\circ}$

The measure of angle RST is 122°. $\blacksquare$

To learn more on quadrilaterals, we kindly invite to check this verified question: brainly.com/question/25240753

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3 years ago

The summer has ended and it's time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of wate

jek_recluse [69]

Answer:

a) -900 L/min

b) 63000 L

c) -900t +63000

d) 7200 L

Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

(t, V) = (20, 45000) and (70, 0)

The rate of change of volume

= ΔV/Δt = (0 -45000)/(70 -20) = -45000/50 = -900 liters per minute

b) In the first 20 minutes, the change in volume was

(20 min)(-900 L/min) = -18000 L

So, the initial volume was

initial volume - 18000 = 45000

initial volume = 63,000 liters

c) Since we have the slope and the intercept, we can write the equation in slope-intercept form as

V= -900t +63000.

d) now putting the number in the equation and do the arithmetic.

When t=62, the amount remaining is

= -900(62) +63000 = -55800 +63000 = 7200

Thus, 7200 L remain after 62 minutes.

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3 years ago

An inspector at a factory examines 320 drinking glasses, and 12 of them have defects. The inspector then examines 560 drinking g

fgiga [73]

Answer: 539 without defects

Step-by-step explanation: Im pretty sure we have to turn 12/320 into a percent, which is 0.0375, or 3.75%

So with that information, we need to find 3.75% of 560.

do 0.0375 x 560, which is 21.

21 are defects, so do 560 - 21 is 539.

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2 years ago

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round the decimal to the nearest whole number. then , estimate the value of the following. 34.8÷5.4 is approximately equals to _

8_murik_8 [283]

If it's asking for us to round both to the nearest whole number then divide:

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3 years ago

What equation is equivalent to P = mgh, but solved for Y? **please explain**

What equation is equivalent to P = mgh, but solved for Y? please explain