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3 years ago

Stepping off a distance by counting your paces is generally a more precise method of measuring than using a measuring tape.

Mathematics

1 answer:

dimulka [17.4K]3 years ago

5 0

Answer:

False

Step-by-step explanation:

It depends on the distance and the curvature of the path. It is a straight line between endpoints and the length is a reasonable multiple of the full length of the tape measure then the tape measure is more accurate. If on the other hand the terrain is rugged and/or curvy then there isn't much to choose between the two. I think you are intended to answer false. The question leaves a lot to be desired.

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What is the completed square of x^4 + 7x^2 - 3

Anuta_ua [19.1K]

I have to write here as well apparently, but have added answer as picture

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3 years ago

The formula v =bh means that the volume of a prism is equal to its base area times its height. Solve v= bh for b

svetlana [45]

Solve for b means isolate b:

V = bh
V/h = b

Answer:
b = V/h

7 0

3 years ago

Read 2 more answers

Colin & Brian share a lottery win of £2100 in the ratio 4 : 1. Colin then shares his part between himself, his wife & th

Paraphin [41]

Answer:

His wife gets $336 more than his son.

Step-by-step explanation:

Colin and Brian:

Ratio of 4:1.

So Colin gets $\frac{4}{4+1} = \frac{4}{5}$ of the prize.

$\frac{4*2100}{5} = 1680$

Colin got $1680. Dividing between himself, his wife and their son:

Ratio of 2:5:3.

So Colin gets $\frac{2}{2+3+5} = \frac{2}{10}$ , his wife gets $\frac{5}{2+3+5} = \frac{5}{10}$ and his son gets $\frac{3}{2+3+5} = \frac{3}{10}$

Wife:

$\frac{5*1680}{10} = 840$

His wife got $840.

Son:

$\frac{3*1680}{10} = 504$

His son got $504.

How much more does his wife get over their son?

840 - 504 = 336

His wife gets $336 more than his son.

8 0

2 years ago

Help please this is also do very very soon thank you!!!

stepan [7]

Answer:

700

Step-by-step explanation:

100:2

???:14

14*100

=1400

1400/2

=700

3 0

3 years ago

Read 2 more answers

The area of the triangle formed by x− and y− intercepts of the parabola y=0.5(x−3)(x+k) is equal to 1.5 square units. Find all p

Juliette [100K]

Check the picture below.

based on the equation, if we set y = 0, we'd end up with 0 = 0.5(x-3)(x-k).

and that will give us two x-intercepts, at x = 3 and x = k.

since the triangle is made by the x-intercepts and y-intercepts, then the parabola most likely has another x-intercept on the negative side of the x-axis, as you see in the picture, so chances are "k" is a negative value.

now, notice the picture, those intercepts make a triangle with a base = 3 + k, and height = y, where "y" is on the negative side.

let's find the y-intercept by setting x = 0 now,

$\bf y=0.5(x-3)(x+k)\implies y=\cfrac{1}{2}(x-3)(x+k)\implies \stackrel{\textit{setting x = 0}}{y=\cfrac{1}{2}(0-3)(0+k)} \\\\\\ y=\cfrac{1}{2}(-3)(k)\implies \boxed{y=-\cfrac{3k}{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of a triangle}}{A=\cfrac{1}{2}bh}~~ \begin{cases} b=3+k\\ h=y\\ \quad -\frac{3k}{2}\\ A=1.5\\ \qquad \frac{3}{2} \end{cases}\implies \cfrac{3}{2}=\cfrac{1}{2}(3+k)\left(-\cfrac{3k}{2} \right)$

$\bf \cfrac{3}{2}=\cfrac{3+k}{2}\left( -\cfrac{3k}{2} \right)\implies \stackrel{\textit{multiplying by }\stackrel{LCD}{2}}{3=\cfrac{(3+k)(-3k)}{2}}\implies 6=-9k-3k^2 \\\\\\ 6=-3(3k+k^2)\implies \cfrac{6}{-3}=3k+k^2\implies -2=3k+k^2 \\\\\\ 0=k^2+3k+2\implies 0=(k+2)(k+1)\implies k= \begin{cases} -2\\ -1 \end{cases}$

now, we can plug those values on A = (1/2)bh,

$\bf \stackrel{\textit{using k = -2}}{A=\cfrac{1}{2}(3+k)\left(-\cfrac{3k}{2} \right)}\implies A=\cfrac{1}{2}(3-2)\left(-\cfrac{3(-2)}{2} \right)\implies A=\cfrac{1}{2}(1)(3) \\\\\\ A=\cfrac{3}{2}\implies A=1.5 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{using k = -1}}{A=\cfrac{1}{2}(3+k)\left(-\cfrac{3k}{2} \right)}\implies A=\cfrac{1}{2}(3-1)\left(-\cfrac{3(-1)}{2} \right) \\\\\\ A=\cfrac{1}{2}(2)\left( \cfrac{3}{2} \right)\implies A=\cfrac{3}{2}\implies A=1.5$

7 0

3 years ago