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3 years ago

Solve for a in the diagram below.

Mathematics

2 answers:

Marat540 [252]3 years ago

8 0

Answer:

Step-by-step explanation:

Angles form a right angle, hence they add up to 90

x + 2x + x + 10 = 90

4x + 10 = 90

4x = 80

x = 20

Tresset [83]3 years ago

7 0

Answer:

Step-by-step explanation:

We can tell from the little square in the corner that this is a 90 degree angle, so all three of the expressions of x should add up to 90:

x + 2x + (x + 10) = 90

Combine like terms:

4x + 10 = 90

4x = 80

Divide by 4:

x = 80/4 = 20

The answer is 20.

Hope this helps!

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For f(x) = 3x +1 and g(x)=x²-6, find (ƒ•g)(x)

eimsori [14]

Answer:

$\bigodot \: A.\: 3x^2-17$

Step-by-step explanation:

$f(x) =3x + 1$ (Given)

$g(x)=x^2-6$ (Given)

$\implies (f.g)(x)=3(x^2-6)+1$

$\implies (f.g)(x)=3x^2-18+1$

$\implies (f.g)(x)=3x^2-17$

3 0

1 year ago

The terminal arm of an angle drawn in standard position rotates in a positive direction through two quadrants of the coordinate

miskamm [114]

There are 4 quadrants and each quadrant is has a measure of 90° angle.

Because the direction is positive, it means that the arm is going from 1st quadrant to 2nd quadrant.

90° + 90° = 180°

Because there is an additional rotation of 25°, the arm is now in the 3rd quadrant.

180° + 25° = 205°

The measure of the angle is 205°

3 0

2 years ago

Brian,Chris,and Damien took a math test that had 20 questions.the number of questions Brian got right is 14 more than 1/4 the nu

Tom [10]

B = 1/4c + 14
d = 5/4c - 2
b = d

1/4c + 14 = 5/4c - 2
1/4c - 5/4c = -2 - 14
-c = - 16
c = 16 <=== chris got 16 correct

b = 1/4c + 14
b = 1/4(16) + 14
b = 4 + 14
b = 18 <=== Brian got 18 correct

d = 5/4c - 2
d = 5/4(16) - 2
d = 20 - 2
d = 18 <=== damien got 18 right also

5 0

2 years ago

Read 2 more answers

Suppose you want to count the number of four-letter passwords that can be formed using the letters in the word NUMBER. The four

WITCHER [35]

Answer:

D.The password must not follow order matter

Step-by-step explanation:

We are given that suppose you want to count the number of four letters password that can be formed using the letters in the word NUMBER.

We are given that all letters in the password must be all different .There is no nothing saying about order so we can make combination without order .

We have to find the number of 4- letter password that can be formed using letters in the word NUMBER.

By using Permutation formula we find the number of 4- letters password that can be formed by using the letters N,M,B,U,E,R.

Permutation formula : The number of arrangements when taken r objects at a time out of n objects

= $\frac{n!}{(n-r)!}$

Total letters in word NUMBER=N,U,M,B,E,R=6

n=6,r=4

Therefore, the number of arrangements can be made from 6 letters when 4 letters taken at a time = $\frac{6!}{(6-4)!}$

The number of selection can be made from 6 letters when 4 letters taken at a time = $\frac{6!}{(6-4)!}$

The number of selection can be made from 6 letters when 4 letters taken at a time = $\frac{6\times5\times 4\times3 \times 2!}{ 2!}$

$n!=n(n-1)(n-2)(n-3)...........3\cdot.2\cdot.1$

The number of selection can be made from 6 letters when 4 letters taken at a time =360

Option D is correct.

Answer : D.The password must not follow order matter

6 0

2 years ago

I need help with this ASAP!! someone

Furkat [3]

Answer:

791.28 cubic feet

Step-by-step explanation:

3.14*6²=113.04

113.04 is the area of the top, sop now we need to multiply it by 7, to get the volume.

113.04*7=791.28

3 0

2 years ago

Read 2 more answers