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2 years ago

Round 0.578 to the nearest tenth

Mathematics

2 answers:

Deffense [45]2 years ago

5 0

0.578 rounded to the nearest tenth would be 0.6, since the 7 in the hundredths spot is higher than 5.

noname [10]2 years ago

3 0

The answer is 0.58 because 8 is a bigger number than five and you always round up when the number is larger than five. Therefore you get 0.58

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Write 107% as a decimal. Pls with solutions

otez555 [7]

Answer:

1.07

Step-by-step explanation:

1 To convert to a decimal, divide the percent number by 100.

2 Therefore, the decimal form is 1.07

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2 years ago

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Richard was thinking of a number. Richard adds 9.5 to the number, then doubles the result to get an answer of 59.4. Form an equa

Jet001 [13]

The answer is 49.9 because he thought of a number and added 9.5 and the result was 59.4 then you should do 59.4-9.5 and the answer is 49.9

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3 years ago

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Convert the angle θ=180∘ to radians.

Kazeer [188]

Answer:

Step-by-step explanation:

To convert from degrees to radians, we multiply by pi/180

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3 years ago

Please help!! MathsWatch, Surd Expressions, Clip 207c

dexar [7]

Answer:

$A=(72+36\sqrt{3})\ mm^2$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

$b=AB+BC+CD+DE$ ----> by segment addition postulate

substitute

$b=3+3+3+3=12\ mm$

step 2

Find the height of rectangle

$a=FB+CG+GH$ ---> by segment addition postulate

substitute the given values

$a=3+CG+3\\a=6+CG$

Find the length sides CG

Applying the Pythagorean Theorem

$BG^2=BC^2+CG^2$

substitute the given values

$6^2=3^2+CG^2$

$CG^2=6^2-3^2$

$CG=\sqrt{27}\ mm$

simplify

$CG=3\sqrt{3}\ mm$

therefore

$a=(6+3\sqrt{3})\ mm$

step 3

Find the area of rectangle

$A=ab$

we have

$a=(6+3\sqrt{3})\ mm$

$b=12\ mm$

substitute

$A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2$

8 0

3 years ago

The equation $(x - 7)^2 + (y + 13)^2 = 12$ represents a circle. What is its radius?

miskamm [114]

Answer:

Step-by-step explanation:

The standard equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the center of the circle

r is the radius of the circle

Given the equation (x - 7)^2 + (y + 13)^2 = 12

On comparing;

r² = 12

Take the square root of both sides

√r² = √12

r = √12

r = √4*3

r = 2√3

Hence the radius of the circle is 2√3

7 0

3 years ago