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aleksklad [387]
3 years ago
12

Round 4.0987 to the nearest 1/10

Mathematics
2 answers:
Gnom [1K]3 years ago
6 0
4.0987 rounded to the nearest tenth.

4.0987
   ^ This is the tenths place

Look at the number after it, if it's 5 or more, round up, if it's 4 or less, round down.

<span>It's 9, so we round up to 4.1</span>
diamong [38]3 years ago
5 0
I guess the working will depend upon how you're supposed to deal with fractions/decimals, but 1 = 10/10, so 4 = 40/10. 

0.0987 rounded to the closest 1/10 or 0.1 is simply 0.1, so the final answer is 4.1 or 41/10.

There are many ways of working to this answer though. 
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Solve the inequality 2x&gt;30+5/4x
insens350 [35]

Answer:

Step-by-step explanation:

2x > 30+\frac{5}{4x} \\2x-\frac{5}{4x} > 30\\\frac{8x^2-5}{4x} > 30\\case~1\\if~x > 0\\8x^2-5 > 120x\\8x^2-120x > 5\\x^2-15x > \frac{5}{8} \\adding~(-\frac{15}{2} )^2~to~both~sides\\(x-\frac{15}{2} )^2 > \frac{5}{8}+\frac{225}{4} \\(x-\frac{15}{2} )^2 > \frac{455}{8} \\x-\frac{15}{2} < -\sqrt{\frac{455}{8} }  \\x < \frac{15}{2}-\sqrt{\frac{455}{8} } \\or~x < 0\\rejected~as~x > 0

x-\frac{15}{2} > \sqrt{\frac{455}{8} } \\x > \frac{15}{2} +\sqrt{\frac{455}{8} }

case~2

if~x < 0\\8x^2-5 < 120x\\8x^2-120x < 5\\x^2-15x < \frac{5}{8} \\adding~(-\frac{15}{2} )^2\\(x-\frac{15}{2} )^2 < \frac{5}{8} +(-\frac{15}{2} )^2\\|x-\frac{15}{2} | < \frac{5+450}{8} \\-\sqrt{\frac{455}{8} } < x-\frac{15}{2} < \sqrt{\frac{455}{8} } \\\frac{15}{2} -\sqrt{\frac{455}{8} } < x < \frac{15}{2} +\sqrt{\frac{455}{8} } \\but~x < 0\\7.5-\sqrt{\frac{455}{8} } < x < 0

8 0
1 year ago
Add 10 to z, then double the result<br> Do not simplify any part of the expression.
dybincka [34]

2(z+10)

2z+20

Answer:

2z+20

4 0
2 years ago
5% of what number is 85?
Semmy [17]
5% = 0.5

0.5n = 85

Divide by 0.5

0.5n = 85
/0.5      /0.5

n = 170.

The number is 170.
8 0
3 years ago
Use the figure below to answer the questions.
Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

S=2A_{b}+P_{b}h

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism


b. What is the formula for total surface area for this shape?

Total Surface area:

S=2A_{b}+P_{b}h

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h


c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

P_{b}=4cm+3cm+5cm\\ P_{b}=12cm

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}


8 0
3 years ago
Triangle LMN has coordinates L (0, 0), M (0, -2), and N (2, 0). If ΔLMN ≅ ΔXYZ, what is the measure of XZ?
salantis [7]

Check the picture below.

3 0
3 years ago
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