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Sphinxa [80]
3 years ago
10

Jada is putting a border around her rectangular garden. The garden is 12.63 meters long and 3.28 meters wide.

Mathematics
1 answer:
Sergio [31]3 years ago
6 0

Answer/Step-by-step explanation:

Length of rectangular garden = 12.63 m

Width of rectangular garden = 3.28

Part A: Perimeter of garden if the length and height is rounded to nearest whole number.

12.63 rounded to nearest whole number = 13

3.28 rounded to nearest whole number = 3

Equation that shows her estimate would be: C. 13 + 3 + 13 + 3 = 32 meters

Part B: Perimeter of garden if the length and height is rounded to nearest tenth.

12.63 rounded to nearest tenth = 12.6

3.28 rounded to nearest tenth = 3.3

Equation that shows this estimate would be: B. 12.6 + 3.3 + 12.6 + 3.3 = 31.8 meters

Part C: Exact Perimeter of her garden.

Exact perimeter would be 12.63 + 3.28 + 12.63 + 3.28 = 31.82 meters

Part D:

Difference between 31.82 and the exact perimeter is 0.02, while difference between 32 and the exact perimeter is 0.18.

Therefore:

The numbers rounded to the nearest TENTH are closer because 31.8 meters is closer to the exact perimeter than 32 meters.

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One student can paint a wall in 16 minutes. Another student can paint the same wall in 24 minutes. Working together, about how l
Mazyrski [523]
Let's look at work rates per minute.

Together they can paint the wall in x minutes.
Working together, in 1 minute, they do 1/x of the job.

The student who paints the wall in 16 minutes does 1/16 of the job in 1 minute.
The student who paints the wall in 24 minutes does 1/24 of the job in 1 minute.
Together, they do 1/16 + 1/24 of the job in 1 minute, but from above, we see that together, they do 1/x of the job in 1 minute, so 1/16 + 1/24 must equal 1/x. That gives us our equation.

1/16 + 1/24 = 1/x

1/16 * 3/3 + 1/24 * 2/2 = 1/x

3/48 + 2/48 = 1/x

5/48 = 1/x

x = 48/5 = 9.6

Answer: It takes them 9.6 minutes, or about 10 minutes to do the job together.


5 0
3 years ago
Please solve this with explanation
SpyIntel [72]

Answer:

-27/8

Step-by-step explanation:

just times than the power -3

5 0
3 years ago
Ten is 5% of what number?
Karo-lina-s [1.5K]

Answer:

200

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Equation álgebra<br> 3x^2 = 12<br> a. +3<br> b. +2<br> C. +3.5<br> d. +1.5
Tom [10]

Answer:

x=-2,2

Step-by-step explanation:

Since this is a quadratic equation, -2 or 2 could be the possible answer

Steps

$3x^2=12$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3x^2}{3}=\frac{12}{3}$

$\mathrm{Simplify}$

$x^2=4$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{4},\:x=-\sqrt{4}$

Show Steps

$\sqrt{4}=2$

Show Steps

$-\sqrt{4}=-2$

$x=2,\:x=-2$

3 0
4 years ago
ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R
shutvik [7]

Answer:

A'= (2,-1) and R'=(4,-2) under this translation.

Step-by-step explanation:

A translation in R^{2} is a mapping T from R^{2} to R^{2}  defined by T(x,y) = (x + v_1,y+v_2), where v=(v_1,v_2) is a fixed vector in R^{2}.

From the problem we know that T(2,4)=(3,2), so we need to find the values v_1 and v_2 such that  T(2,4) = (2 + v_1,4+v_2)=(3,2), so 3=2 + v_1 and 4+v_2=2, thus v_1=1 and v_2=2.

Then T(x,y) = (x + 1,y-2) and  

T(1,1)=(1+1,1-2)=(2,-1)=A'

T(3,0)=(3+1,0-2)=(4,-2)=R'

Therefore A'= (2,-1) and R'=(4,-2). The triangles CAR and C'Q'R' are shown in the figure below.

7 0
3 years ago
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