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Virty [35]
2 years ago
6

John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that

is 2 centimeters longer than the width.
Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic?
Mathematics
2 answers:
Talja [164]2 years ago
8 0

Answer:

B, w(w + 2) = 48

Step-by-step explanation:

just got 100% on the test.

soldi70 [24.7K]2 years ago
7 0
I found the missing choices. These are:
w(w – 2) = 48
w(w + 2) = 48
2w(w – 2) = 48
<span>2w(w + 2) = 48
</span>
The mosaic to be formed is rectangular in shape. This is deduced from the use of the terms width and length.

Area of a rectangle = length * width
length is longer than the width by 2, so length = w+2

Area of a rectangle = (w+2) * w

<span>The correct equation is: w(w + 2) = 48</span>
Guest
1 year ago
thanks
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ACD is a triangle and B is a point on AC. AB = 8cm and BC is 6cm. Angle BCD = 48° and angle BDC = 50°. (a) Find the length of BD
FromTheMoon [43]

Answer:

  • 5.8206 cm
  • 10.528 cm
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Step-by-step explanation:

(a) The Law of Sines can be used to find BD.

  BD/sin(48°) = BD/sin(50°)

  BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm

__

(b) We can use the Law of Cosines to find AD.

  AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°

  AD^2 ≈ 110.841

  AD ≈ √110.841 ≈ 10.5281 . . . cm

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(c) The area of ∆ABD can be found using the formula ...

  A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°

  A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2

_____

Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.

5 0
2 years ago
The data below are times (in seconds) recorded when statistics students participated in an experiment to test their ability to d
RoseWind [281]

Answer:

Mean = 58.25

Median = 57.5

Mode = 49

Step-by-step explanation:

We are given the following data set:

55, 51, 74, 61, 67, 60, 49, 49

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{466}{8} = 58.25

Sorted data:

49, 49, 51, 55, 60, 61, 67, 74

Mode is the entry with highest frequency.

49 appeared two times.

Mode = 49

Formula:

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

\text{Median} = \dfrac{55+60}{2} = 57.5

All these are less than 60 seconds, which indicates that students perceive 1 minute to pass sooner than it actually has.

8 0
2 years ago
In a triangle the length of two sides are 1.9m and 0.7m. What is the length of the third side, if you know that it should be a w
monitta

Answer:

their sum: 2.8m

their difference: 1.2m

the third side's length should be smaller than their sum, larger than their difference

it could be: 1.3-1.4-1.5-1.6-1.7-1.8-1.9-2-2.1-2.2-2.3-2.4-2.5-2.6-2.7 but since it has to be a whole number, 2m is the only eligible answer.

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2 years ago
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daser333 [38]
12 - 2x < 16
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x > -2  will be this line ( dotted) and shaded to the right
4 0
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JUST ONE MORE I NEED HELP ON HW IM STRUGGLING 15pts
Gemiola [76]

Answer:

y equals one fourth times x minus 16

y = 4x − 16

Step-by-step explanation:

this is because you're taking the time it took to get there minus 16 because of the delay

3 0
2 years ago
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