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Fudgin [204]
2 years ago
12

Simplify-6√20+2√45+7√5 show Woking out to prove ans please​

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
6 0

Answer:

\sqrt{5}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplifying the radicals

\sqrt{20} = \sqrt{4(5)} = \sqrt{4} × \sqrt{5} = 2\sqrt{5}

\sqrt{45} = \sqrt{9(5)} = \sqrt{9} × \sqrt{5} = 3\sqrt{5}

Thus

- 6(2\sqrt{5}) + 2(3\sqrt{5}) + 7\sqrt{5}

= - 12\sqrt{5} + 6\sqrt{5} + 7\sqrt{5}

= \sqrt{5}

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A rectangular box has length x and width 3. The volume of the box is given by y = 3x(8 – x). The greatest x-intercept of the gra
CaHeK987 [17]

Consider rectangular box with

  • length x units (x≥0);
  • width 3 units;
  • height (8-x) units (8-x≥0, then x≤8).

The volume of the rectangular box can be calculated as

V_{box}=\text{length}\cdot \text{width}\cdot \text{height}.

In your case,  

V_{box}=3\cdot x\cdot (8-x).

Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).

From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.

Then the volume will be V=0 (minimal).

Answer: correct choices are B (the maximum possible length), C (the minimum possible height)

7 0
3 years ago
AB is a diameter of circle C. What is the degree measure of x?
UNO [17]
It’s a right angle. it follows the circle theorem ‘the angle in a semi-circle is 90 degrees’
8 0
3 years ago
Triangle KML and triangle PRQ are shown in the figure belowK404008 cms4 cms10 cmsOL3 cms6 cmsRM17) Are these triangles similar?1
s2008m [1.1K]

Two triangles are similar if the only difference between them is the size, this means that their internal angles must be the same. If we look at the picture the first triangle has one angle equal to 40 degrees, one equal to 80 degrees and the third one is unkown (x). The second triangle has one angle equal to 40 degrees, one equal to 60 degrees and the third one is unkown (y). The sum of the internal angles of a triangle must be equal to 180 degrees, with this information we can find the values of the missing angles. We have:

\begin{gathered} 40+80+x=180 \\ 120+x\text{ = 180} \\ x\text{ = 180-120=60} \end{gathered}\begin{gathered} 40+60+y=180 \\ 100+y=180 \\ y=180-100=80 \end{gathered}

Therefore the internal angles of the first triangle are (40,80,60) and the angles of the second triangle are (40,80,60) as well, therefore they are similar.

Two triangles are congruent if they have sides with the same length. Which is not the case, because the sides of one triangle is (8, 10, 6) while the other is (4,3 and unkown). Therefore they are not congruent.

8 0
1 year ago
Which of the following pair of sets are equal?
s344n2d4d5 [400]

Answer:

0 (1,2,3,4,5,)and (0,1,2,3,4,5,)

7 0
3 years ago
I need help ASAP anyone
Lilit [14]

Answer:

12%

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I = Prt

r = I/Pt

r = 792 / 2200(3)

r = 0.12

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3 years ago
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