2 years ago

Find the total number of outcomes if Johnny can choose between 6 pair of pants, 5 shirts, and 4 belts

Mathematics

1 answer:

andrew11 [14]2 years ago

7 0

A, B, D are the answers if you are talking about constants

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Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

Find the value of AC

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

Find the value of BC

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

Find the value of BD

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

the answer is

the length of BD is 11.93 units

8 0

3 years ago

Read 2 more answers

HELP!!!!!!!!!!!

erica [24]

Your answer would be (b.) because -2+-3=-5

3 0

3 years ago

Read 2 more answers

Solve the following equation for y: 2x-3y=6

Minchanka [31]

2x-3y=6

-y=6

y=-6

Check your Work

-6(2) - 3(-6)=

-12-(-18)=

-12+18=6

5 0

3 years ago

Evaluate-a-function f(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B7%7D" id="TexFormula1" title="\frac{x}{7}" alt="\f

OLga [1]

Step-by-step explanation:

Hey there!

f(x) = 7/x

~ Simply keep the "7" in the place where "x" is there.

$f(7) = \frac{7}{7}$

Therefore, X= 1.

Hope it helps....

3 0

2 years ago

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make mathematical expression and simplify. The sum of 4 and 5 is subtracted form one-third of the difference of 40 and 4.

Ne4ueva [31]

Answer:

X= -3

Step-by-step explanation:

(4+5)-1/3(40-4)=X

X=9- 1/3(36)

X=9-12

5 0

1 year ago