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KengaRu [80]
3 years ago
11

What is the length of the diagonal of a 10cm by 15cm rectangle to the nearest whole number​

Mathematics
1 answer:
Brums [2.3K]3 years ago
7 0

Answer:

18cm (nearest whole number)

Step-by-step explanation:

Let the length of the diagonal be x cm.

Please see the attached picture for the full solution.

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Lorna has 60$ and her sister has 120$ Lorna saves 7$ Per week and solution represent the number of weeks w it will take for girl
Dominik [7]
Let x be the amount of weeks.

60 + 7x = 120
60 - 60 + 7x = 120 - 60
7/7x = 60/7
x = 8.571428571
8 0
3 years ago
3 1/2 - 1 1/3 x x= 1
slamgirl [31]

Answer:

The value of x for the given expression is \frac{15}{8}

Step-by-step explanation:

Given as :

<u>The expression is written </u>

3\dfrac{1}{2} - 1\dfrac{1}{3} × x = 1

Or, 1\dfrac{1}{3} × x = 3\dfrac{1}{2} - 1

Or, \frac{(1\times 3) + 1}{3} × x = \frac{(3\times 2) + 1}{2} - 1

Or, \dfrac{4}{3} × x = \dfrac{7}{2} - 1

Or,  \dfrac{4}{3} × x = \dfrac{7-2}{2}

Or, \dfrac{4}{3} × x = \dfrac{5}{2}

∴ x = \frac{\frac{5}{2}}{\frac{4}{3}}

Or, x = \frac{5\times 3}{2\times 4}

I.e x = \frac{15}{8}

So, The value of x = \frac{15}{8}

Hence The value of x for the given expression is \frac{15}{8} Answer

6 0
3 years ago
Evelyn pets the box with 1 inch cubes with represents does not show how evelyn can’t find the volume of the box
erastovalidia [21]

Question Correction

Evelyn packed this box with 1 inch cubes. Which expression does not show how Evelyn can find the volume of the box?

  • (A)6+6+6+6+6+6
  • (B) 2 X 3 X 6
  • (C) 2 + 3 + 6
  • (D) 6 X 6

Answer:  

(C) 2 + 3 + 6

Step-By-Step Explanation

In the diagram,  

  • Height = 6 Units
  • Length =2 Units
  • Width =3 Units

Volume  = Height X Length X Width

= 6 X 2 X 3

=36 cubic units

Consider the options:

(A)6+6+6+6+6+6 =36 cubic units

(B) 2 X 3 X 6 =36 cubic units

(C) 2 + 3 + 6 = 11 cubic units

(D) 6 X 6 =36 cubic units

Out of the option, that which is not equivalent to 36 cubic units is:

(C) 2+3+6

Therefore, it does not show how Evelyn can find the volume of the box.

6 0
3 years ago
According to a report, 11 people got colds for every 2000 people.
lianna [129]

Answer:

Probability that one or more people in Arbalest got a cold is 0.9987.

Step-by-step explanation:

We are given that according to a report, 11 people got colds for every 2000 people.

There are 1200 people in the town of Arbalest.

The above situation can be represented through binomial distribution;

P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......

where, n = number of trials (samples) taken = 1200 people

           r = number of success = one or more people got a cold

           p = probability of success which in our question is probability  

                 that people got colds, i.e; p = \frac{11}{2000} = 0.55%

Let X = <u><em>Number of people in Arbalest who got a cold</em></u>

So, X ~ Binom(n = 1200 , p = 0.0055)

Now, Probability that one or more people in Arbalest got a cold is given by = P(X \geq 1)

                     P(X \geq 1) =  1 - P(X = 0)  

                                  =  1- \binom{1200}{0} \times 0.0055^{0} \times (1-0.0055)^{1200-0}

                                  =  1- (1 \times 1 \times 0.9945^{1200})

                                  =  0.9987 or 99.87%

Hence, the required probability is 99.87%.

8 0
4 years ago
Which ordered pair gives the coordinates of the image of R(-a, b) if R is rotated clockwise 180°?
Igoryamba
The answer is 2. (a, -a)
4 0
3 years ago
Read 2 more answers
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