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3 years ago

Classify the real number -1.125

Mathematics

1 answer:

Kamila [148]3 years ago

8 0

It is a rational number because it can be expressed by a quotation or fraction of an integer

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1. Solve and verify each of the following systems of linear equations.

kakasveta [241]

5x - 2y = -6 ⇒ 10x - 4y = -12
2x - 1y = 1 ⇒ 10x - 5y = 5
 y = -17
 5x - 2(-17) = -6
 5x + 34 = -6
 - 34 - 34
 5x = -40
 5 5
 x = -8
 (x, y) = (-8, -17)

2x + 3y = 432 ⇒ 10x + 15y = 2160
5x + 2y = 16 ⇒ 10x + 4y = 32
 11y = 2128
 11 11
 y = 193.4545455
 2x + 3(193.4545455) = 432
 2x + 580.3636364 = 432
 - 580.3636364 - 580.3636364
 2x = -148.3636364
 2 2
 x = -74.1818182
 (x, y) = (-74.1818184, 193.4545455)

6 0

4 years ago

Read 2 more answers

The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is

alexgriva [62]

<h2>Answer:</h2>

Rounded to the nearest hundredth the volume of the composite figure is:

1308 33 cubic millimeters

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

$V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height$

While the volume of half a sphere is:

$V_{hs}=\frac{2}{3}\pi r^3$

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

$V_{s}=\frac{4}{3}\pi r^3$

Then, the composite figure is:

$V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)$

The radius of the cylinder is the same of the radius of each half sphere. So:

$r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}$

7 0

3 years ago

The sides of △FGH are FG = 6 x+ 7, GH = 8x - 5, and FH = 10x - 11. If the perimeter of △FGH is 87, list the angles in order from

irga5000 [103]

Answer:

From largest to smallest: FG, FH, GH

Step-by-step explanation:

Given

$FG = 6x + 7$

$GH = 8x - 5$

$FH = 10x - 11$

$Perimeter = 87$

Required

Order the sides in descending order

First, we need to solve for x.

Perimeter of FGH is calculated as thus:

$Perimeter = FG + GH + FH$

Substitute values for FG, GH, FH and Perimeter

$87 = 6x + 7 + 8x - 5 + 10x - 11$

Collect Like Terms

$87 - 7 + 5 + 11= 6x + 8x + 10x$

$96= 24x$

Reorder

$24x = 96$

Divide through by 24

$x = 96/24$

$x = 4$

Substitute 4 for x in FG, GH and FH

$FG = 6x + 7$

$FG = 6 * 4 + 7$

$FG = 24 + 7$

$FG =31$

$GH = 8x - 5$

$GH = 8 * 4 - 5$

$GH = 32 - 5$

$GH = 27$

$FH = 10x - 11$

$FH = 10*4 - 11$

$FH = 40 - 11$

$FH = 29$

In order of arrangement in descending order, we have:

$FG =31$ $FH = 29$ $GH = 27$

4 0

3 years ago

If B equals 7 what is the value of the expression 2 + (10 - B )?

avanturin [10]

We just need to plug in 7 for B!

Let's do it !

2 + (10 - 7)

We always start with the parenthesis first ! It's just a rule in math :)

10 - 7 = ?

10 - 7 = 3

Now we have ...

2 + 3

2 + 3 = 5

Your final answer is 5!

I hope I helped :) Just comment if you have any questions and remember to vote me "brainliest" if you like my answer !!!

6 0

4 years ago

Read 2 more answers

What is the value of the 6 in 861

NISA [10]

Answer:

tens-or 60

Step-by-step explanation:

the 1 is in the ones place the 6 is in the tens place and the 8 is in the hudreths place.

6 0

4 years ago

Read 2 more answers