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yarga [219]
3 years ago
5

Disebuah perpustakaan, buku-buku disusun rapi didalam lemari dengan membentuk deret aritmatika. Pada sebuah lemari terdapat 6 su

sun rak yang diisi buku-buku dengan berbagai jenis. Jika rak pertama terdapat 10 buku, rak kedua terdapat 12 buku dan rak ketiga terdapat 14 buku. Jumlah seluruh buku dalam sebuah lemari tersebut adalah . . . . *
Mathematics
1 answer:
iragen [17]3 years ago
6 0
Huh I don’t speak this language
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12<br> Using side lengths only, could the triangles be similar?<br> 0.5<br> m05 1 1.5
Murljashka [212]

Answer:

\large\boxed{\text{No.}\ \dfrac{0.5}{1}\neq\dfrac{1}{1.5}\neq\dfrac{1.5}{2}}

Step-by-step explanation:

\text{Let}\\ a,\ b,\ c\ -\ \text{sides of a triangle ABC, where}\ a\leq b\leq c\\d,\ e,\ f\ -\ \text{sides of a triangle}\ DE F,\ \text{where}\ d\leq e\leq f.\\\\\triangle ABC\sim\triangle DE F\iff\dfrac{a}{d}=\dfrac{b}{e}=\dfrac{c}{f}\\\\/\text{corresponding sides are in proportion}/

\bold{WARNING !!!}\\\\\text{No triangle like QRS exists!}\\\\1 + 0.5 = 1.5 !!!\\\\\text{The sum of the lengths of the two shorter sides of the triangle}\\\text{must be greater than the length of the longest side.}

\text{Despite this, let's check the ratios}

\text{We have:}\\\\\triangle XYZ\to a=1,\ b=1.5,\ c=2\\\triangle QRS\to d=0.5,\ e=1,\ f=1.5

\text{Check:}\\\\\dfrac{d}{a}=\dfrac{0.5}{1}=0.5\\\\\dfrac{e}{b}=\dfrac{1}{1.5}=\dfrac{10}{15}=\dfrac{2}{3}\\\\\dfrac{f}{c}=\dfrac{1.5}{2}=\dfrac{15}{20}=\dfrac{3}{4}\\\\\dfrac{d}{a}\neq\dfrac{e}{b}\neq\dfrac{f}{c}\neq\dfrac{d}{a}

8 0
3 years ago
HELP<br> Write an equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1
MArishka [77]

The line is parallel so it has the same slope as the other line, -4.

Substitute the x and y variables with the given points and find the y-intercept.

(-8, 6)

y = -4x + b

6 = -4(8) + b

6 = -32 + b

6 + 32 = b

38 = b

So the equation is:

y = -4 + 38

4 0
3 years ago
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a t
Olin [163]

Answer:

  • large: 18.5 kg
  • small: 15.75 kg

Step-by-step explanation:

Let b and s represent the weights of the big and small boxes, respectively. Then the two delivered weights can be summarized as ...

  5b +6s = 187

  3b +2s = 87

We can eliminate the "s" variable by subtracting the first equation from 3 times the second:

  3(3b +2s) -(5b +6s) = 3(87) -(187)

  4b = 74 . . . . . collect terms

  b = 18.5 . . . . . divide by 4

Using this value in the second equation, we find ...

  3(18.5) +2s = 87

  2s = 31.5 . . . . . . . . subtract 55.5

  s = 15.75 . . . . . . . . divide by 2

The large box weighs 18.5 kg; the small box weighs 15.75 kg.

5 0
3 years ago
dirk sold 7 more than 2 times as many gym memberships this month than last month. this month he sold 43 memberships​
adelina 88 [10]

Answer:

14.5

Step-by-step explanation:

I am smart

4 0
2 years ago
Read 2 more answers
5/6x - 4 = 11 what does x equal?
dezoksy [38]

Answer:

18

Step-by-step explanation:

(5/6)x – 4 = 11

(5/6)x = 11 + 4

(5/6)x = 15

5x = 15×6 = 90

x = 90/5 = 18

7 0
2 years ago
Read 2 more answers
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