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3 years ago

Solve for h. -98 = -7h h =

Mathematics

1 answer:

klio [65]3 years ago

7 0

Answer:

Step-by-step explanation:

$- 98 = - 7h \\ \\ - 98 \div - 7 = h \\ \\ 14 = h$

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The area of the rectangular computer chip is 112a3b2 square microns. Write a simplified expression that represents the length. T

andreev551 [17]

Question:

The area of a rectangular computer chip is 112a^3b^2 square microns. Write a simplified expression that represents the length, if the width is 8ab

Answer:

$Length = 14a^2b$

Step-by-step explanation:

Given

$Area = 112a^3b^2$

$Width = 8ab$

Required

Determine the height

Area is calculated as:

$Area = Length * Width$

Make Length the subject

$Length = \frac{Area}{Width}$

$Length = \frac{112a^3b^2}{8ab}$

$Length = \frac{14a^3b^2}{ab}$

Apply law of indices

$Length = 14a^{3-1}b^{2-1}$

$Length = 14a^2b$

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2 years ago

A line that passes through point (3,7) and has a slope of 3/4. The equation of the line is ? If point a(x,5) lies on the line ,

Amanda [17]

Y = mx + b
slope(m) = 3/4
(3,7)...x = 3 and y = 7
now we sub...we r looking for b, the y int
7 = 3/4(3) + b
7 = 9/4 + b
7 - 9/4 = b
28/4 - 9/4 = b
19/4 = b

equation is : y = 3/4x + 19/4...lets put this in standard form

y = 3/4x + 19/4
-3/4x + y = 19/4...multiply by -4
3x - 4y = -19 <== standard form

if (x,5) is on the line
3x - 4y = -19.....sub in 5 for y
3x - 4(5) = -19
3x - 20 = -19
3x = -19 + 20
3x = 1
x = 1/3 <====so point a = (1/3,5)

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2 years ago

Which Expression is equivalent to 11 + 22q + 22 - 5q? if correct, I'll reward brainlest

kakasveta [241]

Answer:

I think it would be 33+27q

tell me if this helps! :)

Sorry if it doesn't though :(

8 0

3 years ago

In ΔCDE, the measure of ∠E=90°, the measure of ∠D=23°, and EC = 1.3 feet. Find the length of DE to the nearest tenth of a foot.

BabaBlast [244]

Answer: length of DE is about 3.3 ft

Step-by-step explanation: A calculator is necessary!

DE is the unknown hypotenuse of the triangle

get the sine of 23° = 0.3907311285

Use the equation for sine

<em>sin = o/h</em> .

To find h, Substitute values for sin and o. O is EC, Opposite the 23° angle D

<em>0.3907311285 = 1.3/h</em> multiply both sides by h

h(0.3907311285) = 1.3 divide both sides by 0.3907311285

h = 1.3/0.3907311285

3.327096065 = h, the length of the hypotenuse, DE.

7 0

2 years ago

Explorers on a planet with a thin atmosphere want to measure the acceleration of gravity at its surface. So they use a spring gu

Murljashka [212]

Answer:

The value of $g_s$ is $g_s=\frac{30}{21} \:\frac{m}{s^2}$ .

Step-by-step explanation:

We know that the position function is given by

$s(t)=30t-\frac{g_s}{2} t^2$

Velocity is defined as the rate of change of position. Therefore,

$v(t)=\frac{d}{dt}(s(t))$

So, the velocity function is

$v(t)=\frac{d}{dt}(s(t))\\\\v(t)=\frac{d}{dt}(30t-\frac{g_s}{2} t^2)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(30t\right)-\frac{d}{dt}\left(\frac{g_s}{2}t^2\right)\\\\v(t)=30-g_st$

When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,

$v(t)=30-g_st=0\\\\g_s=\frac{30}{t}$

We know that the ball bearing reaches its maximum height 21 seconds after being launched (t = 21 s).

So, the value of $g_s$ is $g_s=\frac{30}{21} \:\frac{m}{s^2}$ .

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3 years ago