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3 years ago

Riley used the distributive property to find the product of 37 and 24. Which expression

Mathematics

1 answer:

Viktor [21]3 years ago

5 0

Answer:

The expression Riley could have used to find the product of the two numbers is 24 × (30 + 7).

Step-by-step explanation:

The distribution property for multiplication is:

$a\times (b+c)=a\cdot b+a\cdot c$

In this case we need to determine the product of 37 and 24.

Compute the product as follows:

$37\times 24=24\times (30 +7)$

$=(24\times 30)+(24\times 7)\\=720+168\\=888$

Thus, the product of 37 and 24 is 888.

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4 years ago

PLS ANSWER ASAP THIS QUESTION IS VERY HARD FOR ME

Tpy6a [65]

Answer:

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Step-by-step explanation:

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3 years ago

Will a 9/32 inch diameter pin fit into a reamed hole with a diameter of 0.278 inch? (Do not round off your answer and express it

ollegr [7]

Answer:

9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch

Step-by-step explanation:

Diameter of reamed hole = 0.278 inch

Radius of reamed hole = $\frac{0.278}{2} =0.139$

Surface area of reamed hole = $\pi r^2$

Surface area of reamed hole = $3.14 \times (0.139)^2$

Surface area of reamed hole = 0.06066794

Diameter of pin = $\frac{9}{32}$

Radius of pin = $\frac{9}{64}$

Surface area of pin = $\pi r^2 = 3.14 \times ( \frac{9}{64})^2=0.0620$

Since the surface area of pin is more than the surface area of hole .

So, a 9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch

7 0

4 years ago

<img src="https://tex.z-dn.net/?f=%20%5Crm%20%5Cint_%7B0%7D%5E%7B%20%20%5Cpi%20%7D%20%5Ccos%28%20%5Ccot%28x%29%20%20%20%20-%20%2

Nikolay [14]

Replace x with π/2 - x to get the equivalent integral

$\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

but the integrand is even, so this is really just

$\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

Substitute x = 1/2 arccot(u/2), which transforms the integral to

$\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du$

There are lots of ways to compute this. What I did was to consider the complex contour integral

$\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz$

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

$\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}$

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

$\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}$

and it follows that

$\displaystyle \int_0^\pi \cos(\cot(x)-\tan(x)) \, dx = \boxed{\frac\pi{e^2}}$

7 0

2 years ago

A phone company advertises a new plan in which the customer pays a fixed amount

Irina-Kira [14]

Answer:

<h2>it will take 30 minutes</h2>

Step-by-step explanation:

obtain a formula

<u>insert the value of p dollars</u>

<u>multiply 50 by 0.10</u>

<u>So it takes 30 minutes for international minutes</u> <em><u>Thank </u></em><em><u>You</u></em>

^_^

3 0

2 years ago