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choli [55]
2 years ago
10

Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the expression belo

w to describe his movement.
6 + (negative 8)

Which statement could describe Ahmed’s movement?

Mathematics
2 answers:
cluponka [151]2 years ago
7 0

Answer:

He moved 6 floors up, then moved 8 floors down. So he is now 2 floors below ground level.

I hope this helps.

Step-by-step explanation:

Orlov [11]2 years ago
7 0

Answer:

As the Options are not given

6 + (-8)

It means Ahmed is on the Sixth floor, above the ground floor and then goes 8 floor Downwards which is 2 level below the ground floor.

The Answer in form of numbers is = -2

Because when we add a positive integer and a negative integer , we just subtract smaller integer from larger integer , and keep that sign before the result which the larger number bears.

6 + (-8)=

8 is larger integer which bears negative sign.

One integer is positive and another one is negative,

8 -6= 2

So, 6 + (-8) = -2 →→   2 level below the ground level

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Find the measures of the three angles, in radians, of the triangle with the given vertices: d(1,1,1), e(1,−5,2), and f(−2,2,7).
Oduvanchick [21]

Consider triangle DEF with vertices D(1,1,1), E(1,-5,2) and F(-2,2,7).

1. Find

\overrightarrow{DE}=(1-1,-5-1,2-1)=(0,-6,1),\\ \\\overrightarrow{DF}=(-2-1,2-1,7-1)=(-3,1,6).

Then

\cos \angle D=\dfrac{0\cdot (-3)+(-6)\cdot 1+1\cdot 6}{\sqrt{0^2+(-6)^2+1^2}\cdot \sqrt{(-3)^2+1^2+6^2}}=\dfrac{0}{\sqrt{37} \cdot \sqrt{46} }=0.

2. Find

\overrightarrow{ED}=(1-1,1-(-5),1-2)=(0,6,-1),\\ \\\overrightarrow{EF}=(-2-1,2-(-5),7-2)=(-3,7,5).

Then

\cos \angle E=\dfrac{0\cdot (-2)+6\cdot 7+(-1)\cdot 5}{\sqrt{0^2+6^2+(-1)^2}\cdot \sqrt{(-3)^2+7^2+5^2}}=\dfrac{37}{\sqrt{37} \cdot \sqrt{83} }=\sqrt{\dfrac{37}{83}}.

3. Find

\overrightarrow{FE}=(1-(-2),-5-2,2-7)=(3,-7,-5),\\ \\\overrightarrow{FD}=(1-(-2),1-2,1-7)=(3,-1,-6).

Then

\cos \angle F=\dfrac{3\cdot 3+(-7)\cdot (-1)+(-5)\cdot (-6)}{\sqrt{3^2+(-7)^2+(-5)^2}\cdot \sqrt{3^2+(-1)^2+(-6)^2}}=\dfrac{46}{\sqrt{83} \cdot \sqrt{46} }=\sqrt{\dfrac{46}{83}}.

4.

\angle E=\arccos0=\dfrac{\pi}{2},\\ \\
\angle D=\arccos\letf(\sqrt{\dfrac{37}{83}}\right)\approx 0.27\pi,\\ \\
\angle F=\arccos\letf(\sqrt{\dfrac{46}{83}}\right)\approx 0.23\pi.

3 0
1 year ago
Suppose that 5 out of 13 people are to be chosen to go on a mission trip. In how many ways can these 5 be chosen if the order in
algol [13]

5 People can be chosen  in 1287 ways if the order in which they are chosen is not important.

Step-by-step explanation:

Given:

Total number of students= 13

Number of Students to be selected= 5

To Find :

The number of ways in which the 5 people can be selected=?

Solution:

Let us use the permutation and combination to solve this problem

nCr=\frac{(n)!}{(n-r)!(r)!}

So here , n =13  and r=5 ,  

So after putting the value  of n and r , the equation will be

13C_5=\frac{(13)!}{(13-5)!(5)!}

13C_5=\frac{(13 \times12 \times11 \times10 \times9 \times8\times7 \times6 \times5 \times4 \times3 \times2 \times1)}{(8 \times7 \times6 \times5 \times4 \times3 \times2 \times1)(5 \times4 \times3 \times2 \times1)}

13C_5=\frac{(13 \times12 \times11 \times10 \times9 )}{((5 \times4 \times3 \times2 \times1)}

13C_5=\frac{154440}{120}

13C_5= 1287

8 0
2 years ago
if the exchange rate between argentina and chile is based on their relative value to the US$, what is the exchange rate for chil
natta225 [31]

Answer:

Hi,

In converting Chilean Pesos(CLP) to Argentine Pesos(ARS) relative to the value of $ then;

$1.00 CLP = $ 0.06 ARS

Step-by-step explanation:

In converting the Chilean Pesos (CLP) to USD, 1CLP equals 0.0015 $

And while converting the Argentine Pesos(ARS) to USD, 1ARS equals $0.0245

Hope this helps!

8 0
2 years ago
Which of the following is the least reduced equivalent of 243/729?
Vladimir79 [104]

Answer:

1/9

Step-by-step explanation:

243/729 to it's equivalent fraction is

243/729 divide numerator and the denominator by 3 = 81/243

81/243 divide numerator and denominator by 3 =27/81

27/81 divide both numerator and denominator by 3 =9/81

9/81 divide both numerator and denominator by 9 =1/9

answer = 1/9

Therefore, 243/729 reduced to it's equivalent fraction is = 1/9

7 0
2 years ago
Find the value of x in each case:
timurjin [86]

Answer:

angle FGE = 36

angle GEL = 72

and angle GFH = 144

Step-by-step explanation:

well you know that angle GEF = 180 -2x

and that angle GFE = 180 -4x

so all the angles in triangle GEF must add to 180

so you have 180 = 180 -2x + 180 -4x + x

180 = 360 -5x

5x = 180

x = 36

so angle FGE = 36

angle GEL = 72

and angle GFH = 144

7 0
2 years ago
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