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Nastasia [14]
3 years ago
12

If s = 1 over 2 unit and A = 12s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)

Mathematics
2 answers:
TiliK225 [7]3 years ago
8 0
<span> For this case we have the following expression:
</span> A = 12s ^ 2&#10;
<span> Where, the value of s is given by:
</span> s = 1/2&#10;
<span> So, replacing values we have:
</span> A = 12 (1/2) ^ 2&#10;
<span> Rewriting we have:
</span> A = 12 (1/4)&#10;&#10;A = 12/4&#10;&#10;A = 3 units ^ 2<span>
 Answer:
 the value of A, in square units is:
 3 square units</span>
photoshop1234 [79]3 years ago
5 0

Answer:

The value of A is 3 square units.

Step-by-step explanation:

Given: s=\frac{1}[2} unit  and A is given by A=12s^2

We have to find the value of A.

Consider the given formula A=12s^2

Put s=\frac{1}[2}

We get,

A=12(\frac{1}{2})^2

Simplify, we have,

A=12\cdot\frac{1}{4}

Further simplify, we have,

A=3

Thus, The value of A is 3 square units.

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Jerry started doing sit-ups every day. The first day he did 19 sit-ups. Every day after that he did 4 more sit-
Verizon [17]

Answer:

81 - 19 = 62 ÷ 4 = 15.5 days (?)

3 0
3 years ago
A 13-foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how fast will the foot be moving
dimulka [17.4K]

Answer:

\frac{db}{dt}=\frac{20\sqrt{69}}{69}\approx2.4077\text{ ft/s}

Step-by-step explanation:

We know that the ladder is 13 feet long.

We also know that the top of the ladder is slipping down at a rate of 2ft/s.

And we want to find the rate at which the foot of the ladder is moving away when the top is 10 feet above the ground.

We can use the Pythagorean Theorem for this problem:

a^2+b^2=c^2

Let's let a be the leg by the wall, and b be the leg on the ground.

Our hypotenuse is 13 and it stays 13. So, let's substitute 13 for c:

a^2+b^2=(13)^2=169

Now, let's take the derivative of both sides with respect to t:

\frac{d}{dt}[a^2+b^2]=\frac{d}{dt}[169]

Evaluate. Use implicit differentiation:

2a\frac{da}{dt}+2b\frac{db}{dt}=0

We know that the top of the ladder is slipping down at a rate of 2ft/s. So, da/dt is -2 (it's negative because it's slipping <em>downwards</em>).

We want to find db/dt when the top is 10 feet above the ground. So, substitute 10 for a.

Since a is 10 and we know that c stays constant at 13, we can figure out b using the Pythagorean Theorem:

10^2+b^2=13^2

Evaluate:

100+b^2=169

Solve for b:

b^2=69\\b=\sqrt{69}

So, substitute -2 for da/dt, 10 for a, and √69 for db/dt. This yields:

2(10)(-2)+2(\sqrt{69})(\frac{db}{dt})=0

Solve for db/dt. Multiply:

-40+2(\sqrt{69})(\frac{db}{dt})=0

Add 40 to both sides:

2\sqrt{69}(\frac{db}{dt})=40

Divide both sides by 2√69:

\frac{db}{dt}=\frac{20}{\sqrt{69}}

Rationalize:

\frac{db}{dt}=\frac{20\sqrt{69}}{69}\approx2.4077\text{ ft/s}

So, the foot will be moving at approximately 2.4077 feet per second.

7 0
3 years ago
The coordinates of point C are . The slope of is . The possible coordinates of point D are and .
Aleonysh [2.5K]

Answer:

The answer is below

Step-by-step explanation:

The endpoints of AB are A(2, 3) and B(8, 1). The perpendicular bisector of AB is CD, and point C lies on AB. The length of CD is (root of 10) units.

The coordinates of point C are (-6, 2) (5, 2) (6, -2) (10, 4) . The slope of is -3 -1/3 1/3 3 . The possible coordinates of point D are (4, 5) (5, 5) (6, 5) (8, 3) and (2, 1) (4, -1) (5, -1) (6, -1) .

Solution:

Since CD is the perpendicular bisector of AC, hence line CD is perpendicular to AB and divides line AB into two equal parts.

Point C(x, y) is the midpoint of AB.

hence:

x = (2 + 8) / 2 = 5

y = (3 + 1)/2 = 2

The coordinates of point C = (5, 2)

The slope of line AB is:

slope of AB = (1 - 3) / (8 - 2) = -1/3

Since CD is perpendicular to AB, hence the product of the slope of AB and the slope of CD is -1

slope of AB * slope of CD = -1

slope of CD * -1/3 = -1

slope of CD = 3

Line CD has slope of 3 and pass through C(5, 2). The equation of line CD is:

y - 2 = 3(x - 5)

y = 3x - 13

The possible coordinates of point D are (6, 5) and (4, -1), because this point lie on line CD.

4 0
3 years ago
Help i am stuck 48/r = 12
DiKsa [7]

Answer:48/12 is how you solve this so your answer is 4 BRAINLY PLZZZZZZZZZZ

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help will mark brainly
Serga [27]

Answer:

its c

Step-by-step explanation:

because 6 divided by 2 is three

7 0
3 years ago
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