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4 years ago

7

1 4/5 × 2 1/4 show work

1 answer:

frozen [14]4 years ago

6 0

Answer:

Step-by-step explanation:

here,both the fractions are in mixed so convert into improper fracton.

so 1 4/5=9/5,2 1/4=9/4

9/5*9/4

=81/8

=1 1/8

thanxxx

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A ladder 16 feet long is leaning against the wall of a tall building. The base of the ladder is moving away from the wall at a r

svet-max [94.6K]

Answer:

a. 0.588

b. 0.0722

c. 4.576 sqft/sec

Step-by-step explanation:

Let b and h denote the base and height as indicated in the diagram. By pythagoras theorem, $h^2 + b^2 = 16^2 = 256 \dotsc\;(1)$ because it is a right angle triangle.

It is given that $\frac{db}{dt} = 1$

Now differentiate (1) with respect to t (time) :

$\displaystyle{2h\frac{dh}{dt} + 2b\frac{db}{dt} = 0 \implies \frac{dh}{dt} = -\frac{b}{h} \frac{db}{dt}}$

$\displaystyle{=-\frac{b}{\sqrt{256 - b^2}} \frac{db}{dt} = -\frac{8}{13.856} \times 1 = -0.588}$

The minus sign indicates that the value of h is actually decreasing. The required answer is 0.588.

b. From the diagram, infer that $16 \sin{\theta} = b$ . When b = 8, then $\theta = \arcsin{0.5} = \ang{30}$ .

Differentiate the above equation w.r.t t

$\displaystyle{16 \cos{\theta} \frac{d\theta}{dt} = \frac{db}{dt} \implies \frac{d\theta}{dt} = \frac{1}{16 \cos{\theta}} = \frac{1}{13.856} = \mathbf{0.0722}}$

c. The area of the triangle is given by $A = 0.5\times h \times b$ . Differentiating w.r.t t,

$\displatstyle{\frac{dA}{dt} = 0.5 b \frac{dh}{dt} + 0.5 h \frac{db}{dt}}$

Plugging in b = 8, h = 13.856, $\frac{dh}{dt} = -0.588$ ,

$\frac{dA}{dt} = -2.352 + 6.928 = \mathbf{4.576 ft^2/sec}$

8 0

4 years ago

Which situation represents a proportional relationship?

m_a_m_a [10]

I think they already have the answer to this question on Brainly

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3 years ago

At Rose State College Allison Wells received the following grades her accounting class 93, 60, 78, 89 ,78 and 82 Allison's instr

Lunna [17]

so you drop the 60.
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$420 \div 5 = 84$

so the answer is 84

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3 years ago

The difference of two complementary angles is 30 degrees. Find the measures of the angles.

oee [108]

Answer:

60 degrees and 30 degrees

Step-by-step explanation:

let the angles be x and y

we are given that the angles are complementary (i.e they sum up to 90 degrees). Hence we can write the first equation:

x + y = 90 ------(eq 1)

we are also given that the difference between the two angles is 30 degrees). Similarly we can write

x - y = 30 ------(eq 2)

now we have a system of 2 equations with 2 unknowns, which we can solve by elimination:

eq 1 + eq 2:

(x + y) + (x - y) = 90 + 30

2x = 120 (divide both sides by 2)

x = 120/2

x = 60 deg (substitute this back into eq 1)

x + y = 90

60 + y = 90 (subtract 60 from both sides)

y = 90 - 60

y = 30 deg.

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3 years ago

Find the nonpermissible replacement for x in<br> this expression.<br> X-4/X-8

vitfil [10]

Answer:

8.

Step-by-step explanation:

x cannot be 8 because that would make the denominator zero.

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3 years ago