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Mandarinka [93]

2 years ago

5

This is for 50 brainly points a brainliest for the best explained answer so here's the question.

1 answer:

Montano1993 [528]2 years ago

6 0

D) 37 degrees, 52 minutes
Step-by-step explanation:
3x-2y+1=0 y = 3/2 x + 1/2 ... slope₁ (m₁ = 3/2)
x-3y=0 3y =1/3 x ... slope₂ (m₂ = 1/3)
acute angle between two slopes: tan θ = (m₁-m₂) / (1+m₁*m₂)
tan θ = (3/2 - 1/3) / (1 + 3/2*1/3) = (7/6) / (3/2) = 7/9 = 0.77777777
θ = 37.875°

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Juan sells 2 sizes of dried wreaths it takes him 3 hours to make each large and 2 hours to make each small one. he has material

Karo-lina-s [1.5K]

Answer: The answer is (2,9) and (6,3).

Step-by-step explanation: Given that Juan sells 2 sizes of dried wreaths. He takes 3 hours to make each large one and tales 2 hours to make each small one. Also, he has material for maximum 6 large wreaths or maximum 9 small wreaths.

Let, 'x' and 'y' be the number of number of large wreaths and number of small wreaths respectively made by Juan.

So, according to the given information, we have the following relations -

$3x+2y\leq 24,~~x\leq 6,~~y\leq 9.$

We tried plotting these inequalities in the graph paper (please see the attached figure), and found that the following two solutions will fit the situation perfectly.

Point A (x = 2, y = 9) and point B (x = 6, y = 3).

Thus, the two possible combinations are

(i) 2 large wreaths and 9 small wreaths, and

(ii) 6 large wreaths and 3 small wreaths.

7 0

4 years ago

Caleb has an offer from a credit card issuer for 0% APR for the first 30 days and 17.68%

svetlana [45]

Solution:- Answer is 19.33%

Annual percentage rate (APR) is the yearly rate for a price which have to pay for borrowing money through credit card.

Here Caleb has an offer from a credit card issue for i=0% APR for the first 30 days.

now, effective interest rate for n= 30 days

= $r=(1+\frac{i}{n} )^n-1\\\Rightarrow\ r=(1+\frac{0}{30} )^{30}-1\\\Rightarrow\ r=(1+0)^{30}-1=1-1=0$

After 30 days APR =17.68%=0.1768

n=365-30=335 days

now the effective interest rate for n=335 days

= $r=(1+\frac{i}{n} )^n-1\\\Rightarrow\ r=(1+\frac{0.1789}{335} )^{335}-1\\\Rightarrow\ r=(1+0.000527)^{335}-1=(1.000527)^{335}-1=1.1933-1=0.1933$

=19.33%

So the effective interest rate for 365 days =0+19.33% =19.33%

So fourth option is correct.

6 0

4 years ago

Read 2 more answers

Myles had 185 songs in his music library. He then purchased an additional 30 songs. To the nearest percent, what was the percent

Firdavs [7]

Hey!

Myles had 185 songs. He purchased 30 extra songs.

30 ÷ 185 = 0.162 = 16.2%

Answer ⇒ 16.2%

Hope this helps! :)

5 0

3 years ago

Read 2 more answers

Write a function to model the volume of a rectangular prism if the length is 24cm and the sum of the width and height is 16cm.

Salsk061 [2.6K]

24 plus 16 equals 40 is your answer <span />

7 0

3 years ago

Find the missing lengths of the sides.

Anarel [89]

Given:

The figure of a right angle triangle.

$a=b$

Hypotenuse = $9\sqrt{2}$ in.

To find:

The missing lengths of the sides.

Solution:

In the given right angle triangle both legs a and b are equal, and hypotenuse is $9\sqrt{2}$ in.

Using Pythagoras theorem, we get

$Hyponteuse^2=Base^2+Perpendicular^2$

$(9\sqrt{2})^2=(a)^2+(b)^2$

$81(2)=(a)^2+(a)^2$ $[\because a=b]$

$81(2)=2(a)^2$

Divide both sides by 2.

$81=(a)^2$

Taking square root on both sides.

$\pm \sqrt{81}=a$

$\pm 9=a$

Side cannot be negative. So,

$9=a$

Thus, the missing side lengths are a=9 in and b=9 in.

Therefore, the correct option is C.

6 0

3 years ago