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3 years ago

3. The expanded form of a number is shown below.

Mathematics

1 answer:

n200080 [17]3 years ago

6 0

I believe it’s c because the number written is a standard porabala which it’s standard

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What is 2/3 as many as 18

vladimir1956 [14]

2/3 of 18 would be 12 if thats what youre asking. you would do 2/3 x 18

3 0

2 years ago

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Need help with this question

alexgriva [62]

Answer:

4 : 3

Step-by-step explanation:

QRS to VUT

$\frac{QR}{RS} =\frac{VU}{UT} \\\\\frac{8}{12} =\frac{6}{x} \\\\8x=72\\x=9$

$\frac{RS}{UT} =\frac{12}{9} =\frac{4}{3}$

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3 years ago

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Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides? It would be a great he

bija089 [108]

Answer: AC= 10 cm and CE= 5 cm

Step-by-step explanation:

In the given picture, Δ ADE is a right triangle

∴ By Pythagoras theorem,

$AD^2+DE^2=AE^2\\\Rightarrow\ (8+4)^2+9^2=AE^2\\\Rightarrow\ AE^2=12^2+9^2\\\Rightarrow\ AE^2=144+81=225\\\Rightarrow\ AE=15\ cm$

Since triangles ABC and ADE are similar and corresponding sides of similar triangles are proportional therefore,

$\frac{AB}{AC}=\frac{AD}{AE}\\\Rightarrow\frac{8}{AC}=\frac{12}{15}\\\Rightarrow\ AC=\frac{8\times15}{12}\\\Rightarrow\ AC=10\ cm$

Now, AE=AC+CE

⇒CE=AE-AC

⇒CE=15-10=5 cm

4 0

3 years ago

The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation

labwork [276]

Answer:

Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center O has the co-ordinates i.e. (-5,2) and the diameter given is 12 units.

We know that radius is half of diameter.

$\text{Radius = }\dfrac{\text{Diameter}}{2}$

$\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}$

The equation for circle given the center and radius, can be represented as:

$(x-a)^{2}+ (y-b)^{2} = r^{2}$

Where (a,b) is the co-ordinate of center and r is the radius.

Let us consider the following formula:

$(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq$

$(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0$

Hence, Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

4 0

3 years ago

Find the measure of one exterior angle for the following regular polygon.

JulsSmile [24]

Answer:

72º

Step-by-step explanation:

Hey there!

Well the interior of a pentagon's angle is 108º,

so we do,

180 - 108 = 72º

Hope this helps :)

8 0

3 years ago

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