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elena-s [515]
3 years ago
13

Please help me solve this maths problem ☺

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0
I cant see the image sorry man wish i could help

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Two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 44at the4, AV = 372 and AC = 589.
nikklg [1K]
<span>The right information from the figure is:

AU = 20x + 108,
UB = 273,
BC = 703,
UV = 444,
AV = 372 and
AC = 589

The similarity of the two triangles leads to:

[AB] / [AC] = [AU] / [AV]

[AB] = [AU] + [UB] = 20x + 108 + 273 = 20x + 381

=> (20x + 381) / (589) = (20x + 108) / 372

Now you can solve for x.

(372)(20x + 381) = (20x + 108)(589)

=> 7440x + 141732 = 11780x + 63612

=> 11780x - 7440x = 141732 - 63612

=> 4340x = 78120

=> x = 18

Answer: x = 18
</span>
3 0
4 years ago
A milk bottle has radius 7cm and milk is filled upto a height
stich3 [128]

radius of bottle is 7 cm. height is 28 cm

so total milk in bottle is equal to total volum of bottle.

so volume of cylinder is = pi × r^2 × h

V = (22/7 )× 7×7×28 = 22×7×28

= 4312 cm^3

so volume of the milk before used to make tea is 4312 cm^3

now milk taken to make tea make height reduced to 20 cm.

so volume of the left milk in bottole is

= (22/7) × 7×7×20 = 22×7×20

= 3080 cm^3

so milk used for making tea = total milk before making the tea - total milk left in bottle after making the tea

= 4312 - 3080 = 1232 cm ^3

so volume of milk used

4 0
4 years ago
Jeremiah just got hired for a new job and will make $35,000 in his first year. Jeremiah was told that he can expect to get raise
trasher [3.6K]

Answer:

Jeremiah make $66,500 in his 9th year

Step-by-step explanation:

3,500*9=31,500

35,000+31,500=66,500

5 0
3 years ago
What is the volume of a sphere with a radius of 4.5 inches?
schepotkina [342]

Answer:

D 381.7 in^3

Step-by-step explanation:

V=4/3pi r^3

V=4/3pi 4.5^3

4/3x3.14x4.5x4.5x4.5

It is approximately 381.51 when you use 3.14 as pi. This is closest to answer D, so I would assume it is that.

Sorry, I thought it said circle at first.

3 0
4 years ago
add the term that makes the given expression into a perfect square. write the result as the square of a bracketed expression c s
Molodets [167]
<h2>Perfect Squares</h2>

Perfect square formula/rules:

  • a^2+2ab+b^2=(a+b)^2
  • a^2-2ab+b^2=(a-b)^2

Trinomials are often organized like ax^2+bx+c.

The <em>b</em> value in this case is <em>c</em>, and it will always equal the square of half of the <em>b</em> value.

  • Perfect square trinomial: ax^2+bx+(\dfrac{b}{2})^2
  • or ax^2-bx+(\dfrac{b}{2})^2

<h2>Solving the Question</h2>

We're given:

  • c^2-4c

In a trinomial, we're given the ax^2 and bx values. <em>a</em> in this case is 1 and <em>b</em> in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:

  • 4 ÷ 2 = 2
  • 2² = 4

Therefore, the term that we can add is + 4.

c^2-4c+4

To write this as the square of a bracketed expression, we can follow the rule a^2-2ab+b^2=(a-b)^2:

(c-2)^2

<h2>Answer</h2>

c^2-4c+4

(c-2)^2

4 0
2 years ago
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