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1 year ago

Simple math equation but in not very bright in the head, help would be appreciated :)

Mathematics

1 answer:

algol [13]1 year ago

4 0

Answer:

AA similarity

Step-by-step explanation:

Using angle sum theorem, you can clearly find out the missing angles on the left and right triangles are 40° and 50° respectively.

Therefore, by using any two angles in the triangles, you can prove they are similar by AA similarity.

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Find the number of permutations of the first 9 letters of the alphabet, taking 4 letters at a time.

Vinil7 [7]

Solution-

First 9 letters of alphabet are- A,B,C,D,E,F,G,H,I

Total number of ways of selection of 4 letters from 9 alphabets = 9C4

=9!÷((4!).(9-4)!) = 9!÷(4!×5!) = (9×8×7×6)÷(24) = 126

The number of ways of arranging these 4 numbers = 4! = 24

∴ Total number of possible permutations = 9C4×4! = 126×24 = 3024

∴ option number 2 is correct.

8 0

3 years ago

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What is the number 1,340,000 from standard form to scientific notation

Kisachek [45]

6 1.34*10 Just move it to the left 6 times

7 0

3 years ago

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What is the slope of =-8x +3

sveta [45]

Answer:

-8

Step-by-step explanation:

5 0

2 years ago

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Ben is standing 8 feet from

never [62]

Answer:

Approximately 15.05 ft

Step-by-step explanation:

You need to use tangent for this question.

Since tan θ = $\frac{Opposite}{Adjacent}$

to find the Opposite, we need to rearrange the equation to:

Adjacent × tan θ = Opposite.

So if you insert 62 for θ and 8 feet for Adjacent, you will get:

8 × tan(62) = Opposite.

and you will get approximately 15.05 feet for your Opposite side

5 0

2 years ago

Given a cone with a volume of 288, and height 7 in., find the base radius of the cone. Use 3.14 for pi. Round your answer to the

jek_recluse [69]

Answer:

The radius of the base is $r=6.3\ in$

Step-by-step explanation:

we know that

The volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$V=288\ in^{3}$

$h=7\ in$

$\pi=3.14$

substitute and solve for r

$288=\frac{1}{3}(3.14)r^{2} (7)$

$864=(3.14)r^{2} (7)$

$r^{2}=864/[(3.14)(7)]$

$r=6.3\ in$

3 0

2 years ago