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Anarel [89]
3 years ago
14

C. 46.97 D. 45.07 Math question don't guess Please help

Mathematics
1 answer:
alexandr402 [8]3 years ago
4 0

sin 51 = BC / 58

BC = 58 sin 51

= 45.07 to nearest hundredth.

Its D

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A 25​-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away from the wall at a constant ra
dsp73

Answer: The ladder is sliding down the wall at a rate of 5\dfrac{17}{50}\ ft/sec

Step-by-step explanation:

Since we have given that

Length of ladder = 25 foot

Distance from the wall to the bottom of ladder = 15 feet

Let base be 'x'.

Let length of wall be 'y'.

So, by pythagorus theorem, we get that

x^2+y^2=25^2\\\\15^2+y^2+625\\\\225+y^2=625\\\\y^2=625-225\\\\y^2=400\\\\y=\sqrt{400}\\\\y=20\ feet

\dfrac{dy}{dx}=-4\ ft/sec

Now, the equation would be

x^2+y^2=625\\

Differentiating w.r.t x, we get that

2x\dfrac{dx}{dt}+2y.\dfrac{dy}{dt}=0\\\\2\times 15\dfrac{dx}{dt}+2\times 20\times -4=0\\\\30\dfrac{dx}{dt}-160=0\\\\\dfrac{dx}{dt}=\dfrac{160}{30}=5.34\ ft/sec

Hence, the ladder is sliding down the wall at a rate of 5\dfrac{17}{50}\ ft/sec

8 0
3 years ago
Define the opposite and the absolute value of 6
Yakvenalex [24]
The opposite is a negative so the answer would be -6
5 0
3 years ago
Read 2 more answers
PLZ HELP!!!!!!!!!!!!
Ira Lisetskai [31]
P = 2l + 2w
48 = 2(14) + 2w
48 = 28 + 2w

Therefore you could use the equation A.) 2n + 28 = 48, to find the value of N.
6 0
3 years ago
Help : Math ...........................
katen-ka-za [31]
\frac{-6*10^{-1} }{-3*10^{-2}}

You divide -6 and -3

\frac{2*10^{-1}}{10^{-2}}

Because the exponents are both negative, you make them positive and change the position (the exponent which is at the denominator is now at the numerator and viceversa)

\frac{2*10^{2}}{10^{1}}


\frac{2*10^{2}}{10^1}

You divide the exponents (so 2-1)

2*10 = 20
3 0
3 years ago
What’s the answers?
Bad White [126]

Answer:

Step-by-step explanation:

1). If the given triangles are similar their corresponding sides will be proportional.

\frac{8}{a}= \frac{8}{12}=\frac{5}{b}

\frac{8}{a}= \frac{8}{12}

a=\frac{12\times 8}{8}

a=12

\frac{8}{12}=\frac{5}{b}

b=\frac{5\times 12}{8}

b=7.5

2). By using proportional relationship in the similar polygons,

\frac{3}{c}=\frac{6}{8}

c=\frac{8\times 3}{6}

c=4

d = 8

c = e = 4

3). If the pentagons are similar their corresponding sides will be proportional.

\frac{6}{g}=\frac{8}{18}=\frac{10}{h}= \frac{8}{I}=\frac{6}{f}

\frac{6}{g}=\frac{8}{18}

g=\frac{18\times 6}{8}

g=13.5

\frac{8}{18}=\frac{10}{h}

h=22.5

\frac{8}{18}=\frac{6}{f}

f=13.5

\frac{8}{18}= \frac{8}{I}

I=18

7 0
3 years ago
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