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brilliants [131]
3 years ago
5

The question on the top old explain

Mathematics
2 answers:
Elis [28]3 years ago
8 0
So it's asking you to create an expression on how much you spent.
So you have already spent $30 on a DVD and $20 for a CD. And we don't know how much the videos are so that is x.
Your equation is going to be something like 30+20+5x but since it says it wants it in simplest form it's going to be 50+5x or 5x+50 either way that will be your equation answer. The reason it's that equation is because we know how much you spent already which is 50 and since you bought 5 videos of an unknown number that's how you get 5x.
50+5x
Hatshy [7]3 years ago
4 0
Total amount spent = 5c+30+20
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In triangle JKL, tan(b°) = 3/4 and cos(b°) =4/5. If triangle JKL is dilated by a scale factor of 1/2, what is sin(b°)?
zysi [14]

Answer:

\sin (b^\circ)=\dfrac{3}{5}.

Step-by-step explanation:

It is given that,

\tan (b^\circ)=\dfrac{3}{4}

\cos (b^\circ)=\dfrac{4}{5}

If a figure is dilated, then the image is similar to the figure. It means the corresponding angles of figure and image are congruent.  

So, the value of sin(b°) after dilation is equal to the value of sin(b°) before dilation.

We know that,

\dfrac{\sin \theta}{\cos \theta}=\tan \theta

\dfrac{\sin (b^\circ)}{\cos (b^\circ)}=\tan (b^\circ)

\sin (b^\circ)=\tan (b^\circ)\times \cos (b^\circ)

\sin (b^\circ)=\dfrac{3}{4}\times \dfrac{4}{5}

\sin (b^\circ)=\dfrac{3}{5}

Therefore, \sin (b^\circ)=\dfrac{3}{5}.

5 0
4 years ago
A farmer planted 3 types of trees on 22 acres of land. He planted 48 trees per acre. What is the total of trees the farmer plant
antoniya [11.8K]
Hey there! :D

He planted 48 trees per acre. Ignore the '3 types of trees' part. I think the question is trying to confuse you. Multiply 48 by 22.

48*22= 1056

The farmer has planted 1056 trees.

I hope this helps!
~kaikers 
7 0
4 years ago
Read 2 more answers
Complete the steps to calculate the density of the steel. Calculate the volume of the prism. Recall that the area of a hexagon i
Salsk061 [2.6K]

Answer:

1. B 2. A 3. A 4. C

Step-by-step explanation:

did the assignment

6 0
2 years ago
The vector wequalsaiplusbj is perpendicular to the line axplusbyequalsc and parallel to the line bxminusayequalsc. It is also tr
Likurg_2 [28]

Answer:

\theta=45^{\circ}

Step-by-step explanation:

We are given that the equation of lines

x+\sqrt 3y=1

(1-\sqrt 3)x+(1+\sqrt 3)y=8

According to question

The vector perpendicular to the lines is given by

i+\sqrt 3j and (1-\sqrt 3)i+(1+\sqrt 3)j

Therefore, the  angle between two vectors is given by

cos\theta=\frac{a_1a_2+b_1b_2}{\sqrt{a^2_1+b^2_1}\sqrt{a^2_2+b^2_2}}

Using the formula

cos\theta=\frac{1(1-\sqrt 3)+\sqrt 3(1+\sqrt 3)}{2\times 2\sqrt 2}

cos\theta=\frac{1-\sqrt 3+\sqrt 3+3}{4\sqrt 2}=\frac{1}{\sqrt 2}

cos\theta=cos 45^{\circ}

\theta=45^{\circ}

Hence, the acute angle between the lines is given by

\theta=45^{\circ}

3 0
3 years ago
Factor completely the polynomial:ax–y+x–ay
11111nata11111 [884]

Answer:

The factors for the given polynomial is (x-y) and (a+1)

Therefore ax-y+x-ay=(x-y)(a+1)

Step-by-step explanation:

Given polynomial expression is ax-y+x-ay

To simplify the given polynomial:

ax-y+x-ay

=ax+x-ay-y ( Rewritting the above polynomial)

=(a+1)x-(a+1)y (Taking the common terms )

=x(a+1)-y(a+1)(using commutative property )

=(x-y)(a+1) (taking common factor )

Therefore ax-y+x-ay=(x-y)(a+1)

Therefore the factors for the given polynomial is (x-y) and (a+1)

3 0
3 years ago
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