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3 years ago

13

Find all missing side lengths

1 answer:

saul85 [17]3 years ago

6 0

Answer:

Sin 60=y/46

y=39.8

-39.8^2+46^2=x^2

X=23

So y=39.8 and x=23

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Find the point of intersection:<br> 3x=y-2<br> 6x=4-2y

IgorC [24]

Answer: (0, 2)

3x = y - 2
6x = 4 - 2y

3x = y - 2
- y - y
-y + 3x = - 2
- 3x - 3x
-y = - 3x - 2
/-1 /-1
y = 3x + 2

6x = 4 - 2y
+ 2y + 2y
2y + 6x = 4
- 6x - 6x
2y = - 6x + 4
/2 /2
y = -3x + 2

y = 3x + 2
y = -3x + 2

3x + 2 = -3x + 2
- 2 - 2
3x = -3x
/3 /3
x = 0

y = 3x + 2
y = 3(0) + 2
y = 2

(x, y) --> (0, 2)

Therefore, the two equations intersect at (0, 2)

Hope this helps!

7 0

3 years ago

The first part of a trip driving at 40 mph was 15 miles longer and took 30 minutes longer than the second part of the trip drivi

kenny6666 [7]

Answer:

65 miles

Step-by-step explanation:

There are two simultaneous equations . Remeber that v=d/t, 1hour = 60 minutes.

1. 40 = (d+15)/(t+0.5)

2. 50 = d/t

solving: d= 25 miles and t=0.5 hours.

The distance traveled is:

D=d+d+15

D=65 miles

5 0

3 years ago

Read 2 more answers

Find dy/dx<br><br> y = 5/8x^3/7 + 8x^4 + 6x - 9

aleksandrvk [35]

Answer:

15/56x^(-4/7) + 32x^3 + 6.

Step-by-step explanation:

Using the rule for algebraic differentiation:

If y = ax^n, dy/dx = anx^(n-1).

So :

If y = 5/8x^3/7 + 8x^4 + 6x - 9

dy/dx = 5/8* 3/7 x^(3/7-1) + 8*4 x^(4-1) + 6x(1-1)

= 15/56x^(-4/7) + 32x^3 + 6.

5 0

4 years ago

Arnold has $24 to spend at the movies. His ticket is $12. He bought popcorn, candy bar, and soda. Popcorn is double the prize of

Anastasy [175]

Given:

Arnold has $24 to spend at the movies.

Ticket = $12

Popcorn is double the price of the soda.

The soda and candy bar are same price.

To find:

The price for the soda.

Solution:

Let x be the price of soda.

According to the question,

Price of candy = Price of soda = x

Price of popcorn = 2(price of soda) = 2x

Total amount = Ticket + Popcorn + Soda + Candy

$24=12+2x+x+x$

$24=12+4x$

$24-12=4x$

$12=4x$

Divide both sides by 4.

$\dfrac{12}{4}=x$

$3=x$

Therefore, the price of soda is $3.

8 0

3 years ago

The expression n2 + n represents the total number of blocks used in the nth figure of a pattern. Use the equation n2 + n = 56 to

Brrunno [24]

We have to solve this quadratic equation $n^{2}+n=56$ for n to get <em>which figure has 56 blocks</em>.

$n^{2}+n=56\\n^{2}+n-56=0$

For middle term factorization, we need <em>two numbers that multiplied gives us -56 and added gives us 1 (coefficient of n).</em>

<em>Such two numbers are </em><em>8</em><em> and </em><em>-7</em><em>. We can now write,</em>

<em> $n^{2}+n-56=0\\(n+8)(n-7)=0\\n=-8, 7$ </em>

<u><em>"There is no negative figure number possible, so we disregard -8"</em></u>

Our answer is 7.

ANSWER: The 7th figure has 56 blocks.

3 0

3 years ago

Read 2 more answers