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3 years ago

If the sum of two natural numbers is 8 and their products is -33 .find the number

Mathematics

1 answer:

aleksklad [387]3 years ago

7 0

Answer:

Step-by-step explanation:

-3 and 11

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Find the Perimeter of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.

Dimas [21]

Answer:

50.6

Step-by-step explanation:

The perimeter of the circle is 12.56 because we take 1/2 of 8 (the length of the short side of the rectangle) and multiply that by pie (or 3.14). Now that we know that the perimeter of the circle is 12.56 we add that to 8 (short side of the rectangle) and we add that to 15 twice (which is 30)

8 0

3 years ago

A particle moves along a line with acceleration a (t) = -1/(t+2)2 ft/sec2. Find the distance traveled by the particle during the

amm1812

Answer:

$s(t)=(ln|7|+ln|2|)\,ft$

Step-by-step explanation:

Acceleration is second derivative of distance and are related as:

$a(t)=\frac{d^2s}{dt^2}\\\\\frac{d^2s}{dt^2}=\frac{-1}{(t+2)^2}\\$

Integrating both sides w.r.to t

$v(t)=\frac{ds}{dt}=\frac{1}{t+2} +C\\$

Using initial value

$v(0)=\frac{1}{2}\\\\\frac{1}{2}=\frac{1}{0+2} +C\\\\C=0\\\\\frac{ds}{dt}=\frac{1}{t+2}$

We have to calculate the distance covered in time interval [0,5], so:

$\int\limits^5_0 \frac{ds}{dt}=\int\limits^5_0 {\frac{1}{t+2}} \, dt\\\\s(t)=[ln|t+2|]^5_0\\\\s(t)=ln|5+2|+ln|0+2|\\\\s(t)=(ln|7|+ln|2|)\,ft$

3 0

3 years ago

Plz explain and prove the triangles congruence.

ziro4ka [17]

Answer:

The explanation is given below with the diagram.

Step-by-step explanation:

Given:

Δ ABC is an Isosceles triangle with base AB.

D is the midpoint of AB

∴ AD = BD

To Prove:

$\angle ACD \cong \angle BCD$

Proof:

Isosceles triangle property:

If Δ ABC is an Isosceles triangle with base AB, then the two sides are congruent and the base angles are congruent.

$\therefore \overline{AC} \cong \overline {BC}\ and\\\therefore \angle CAD} \cong \angle CBD$

$In\ \triangle ACD\ and\ \triangle BCD\\\overline{AC} \cong \overline{BC}\ \textrm{ Two sides of Isosceles Triangle are congruent}\\\angle CAD \cong \angle CBD\ \textrm{Base angles of Isosceles Triangle are congruent }\\\overline{AD} \cong \overline{BD}\ \textrm{ D is the midpoint of AB given}\\\therefore \triangle ACD \cong \triangle BCD\ \textrm{ By Side-Angle-Side test}\\\therefore \angle ACD \cong \angle BCD\ \textrm{corresponding parts(angles) of congruent triangles}\\$

$\therefore \angle ACD \cong \angle BCD\ \textrm{ Proved}$

7 0

3 years ago

Which of the following expresses the ratio of 3 inches to 2 yards?

Over [174]

$1\ yard=36\ inches\\
ratio:3\ inches:2\ yards\\
2\ yards=72\ inches\\
\\
ratio:
3:72[inches]\\
The\ correct\ answer\ is\ B.$

4 0

3 years ago

Read 2 more answers

Using the given points, determine the slope. (8, 1) and (8, -4) slope = 0 slope = -5 slope is undefined

Sophie [7]

You find the slope by putting the points in the formula y2-y1/x2-x1

when you plug them in it should look like this

-4 -1/8-8
then you would add or subtract, when you do you would get

-5/0
this can't be divide so the slope of this 2 points is undefined

Hope this helped

5 0

3 years ago

Read 2 more answers

If the sum of two natural numbers is 8 and their products is -33 .find the number​

If the sum of two natural numbers is 8 and their products is -33 .find the number