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Neporo4naja [7]

3 years ago

5

An equilateral triangle ΔLMQ (see picture to the right) is drawn in the interior of square LMNP so that side LM is common. Find

m∠LQP.

1 answer:

Tom [10]3 years ago

4 0

Answer:

lqp=75 degrees

Step-by-step explanation:

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A collection of nickels and quarters is worth 2.85 . There are 3 more nickels than quarters how many nickels and quarters are th

Zolol [24]

A nickel is equal to 5 cents or 0.05 dollars.

A quarter is equal to 25 cents or 0.25 dollars.

Let number of nickels be = n

Let number of quarters be = q

$0.05n+0.25q=2.85$ ...........(1)

As it is given, there are 3 more nickels than quarters so equation becomes,

$n=q+3$ ................(2)

Plug in the value of 'n' from (2) in (1)

$0.05(q+3)+0.25q=2.85$

= $0.05q+0.15+0.25q=2.85$

$0.30q=2.70$

$q=9$

As $n=q+3$ we get, $n=9+3=12$

Hence, there are 12 nickels and 9 quarters.

3 0

3 years ago

A carpect salesperson claims that a carpet on sid for $12.95 per square yard is 30% off its original price. What was its origina

Amiraneli [1.4K]

12.95 30
-------- = ----
x 100

1295 = 30x
------- -----
30 30

x = 43.16666667

not sure how u want to round

8 0

3 years ago

Read 2 more answers

Evan enjoys eating fresh fruits and vegetables. This

Arlecino [84]

Answer:

$2304 \ in^3$

Step-by-step explanation:

Given the surface dimensions of the garden as 24 inches by 48 inches:

#Calculate surface area of the garden's top:

$A=lw\\\\=48\times 24\\\\=1152 in^2$

Given the soil's thickness is 2 Inches, we multiply this thickness by the garden's surface area to get volume of soil used:

$V=tA, t-thickness, A=Area=1152 \ in^2\\\\=2 \ in \times 1152\ in^2\\\\=2304 \ in^3$

Hence, the amount of soil used is 2304 cubic inches.

4 0

3 years ago

Differentiate the function. f(x) = sin(9 ln(x))

gayaneshka [121]

Answer: $f'(x)=\dfrac{9\cos(9\ln (x))}{x}$ .

Step-by-step explanation:

The given function is

$f(x)=\sin(9\ln (x))$

Using chain rule differentiate w.r.t. x.

$f'(x)=\cos(9\ln (x))\dfrac{d}{dx}(9\ln (x))$ $\left[\because \dfrac{d}{dx}\sin x=\cos x\right]$

$f'(x)=\cos(9\ln (x))\left[9\dfrac{d}{dx}(\ln (x))\right]$

$f'(x)=\cos(9\ln (x))\left[9\times \dfrac{1}{x}\right]$ $\left[\because \dfrac{d}{dx}\ln x=\dfrac{1}{x}\right]$

$f'(x)=\dfrac{9\cos(9\ln (x))}{x}$

Therefore, $f'(x)=\dfrac{9\cos(9\ln (x))}{x}$ .

5 0

3 years ago

A box contains 6 red marbles, 4 green marbles, 3 blue marbles, and 2 yellow marbles. If one marble is chosen at random, what is

blondinia [14]

Answer:

0.2

Step-by-step explanation:

6+4+3+2=total no of marble

=15

no of blue marble 3

$\frac{3}{15} \\ = \frac{1}{5 } \\ = 0.2$

3 0

3 years ago