Phillip hod 45 marbles. He gave 2/3 to his Brother. How many marbles did he give to his Brother?
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Answer:

see explanation

Step-by-step explanation:

Using the identity

cos²Θ = 1 - sin²Θ

Consider the left side

sin²Θ - cos²Θ

= sin²Θ - (1 - sin²Θ ) ← distribute parenthesis by - 1

= sin²Θ - 1 + sin²Θ

= 2sin²Θ - 1

= right side , thus verified

Chad's house is 3/8 units farther away than Kelly's house.

By reading the number line, we can see that:

These fractions are the positions of each location. We want to find how much farther is Chad's house than Kelli's house from the library, this is given by:

(Chad's house position - library position) - (Kelli's house position - library position)

Writting the fractions, we get:

(7/8 - 0) - (4/8 - 0)  = 3/8

So Chad's house is 3/8 units farther away than Kelly's house.

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

Answer: 3/8

Step-by-step explanation: 7/8 -4/8 equals 3/8

Answer:

that would be:::

2(p+q)

Answer:

[tex] \frac{ - 2 - 1}{4 - 0} \\ \\ \frac{ - 3}{4} \\ \\ \frac{3}{ - 4} [/tex]

Answer:

2 rhombus

3 parallelogram

Answer:

yards: 14080

miles: 8

that's basically it

Answer:

14080 yards

Step-by-step explanation:

A yard is 1/1760 mile, meaning 1 mile = 1760 yards.

5 miles + 3 miles = 8 miles

8 miles to yards = ?

8 x 1760 = 14080.

The Sims family drove 14.08k yds or 14080 yards.

Answer:

230

Step-by-step explanation:

multiply 12 by 15 and add it onto the 50 to get your answer!

Have a good day!

Answer:

-10

Step-by-step explanation:

if negative meets a negative its gone come out as a positive

The solution to the trigonometric equation in the interval is given by:

[tex]x = \frac{\pi}{4}[/tex]

In this problem, the equation is given by:

[tex]\frac{1}{\sin{\theta}} = 2\cos{\theta}[/tex]

Applying cross multiplication, we have that:

[tex]2\sin{\theta}\cos{\theta} = 1[/tex]

Applying a trigonometric identity, we have that:

[tex]\sin{2x} = 1[/tex]

We have that on the interval [0, 2π), [tex]\sin{\left(\frac{\pi}{2}\right)} = 1[/tex]

Hence:

[tex]\sin{2x} = 1[/tex]

[tex]\sin{2x} = \sin{\left(\frac{\pi}{2}\right)}[/tex]

[tex]2x = \frac{\pi}{2}[/tex]

[tex]x = \frac{\pi}{4}[/tex]

For [tex]\frac{3\pi}{4}[/tex], we have that:

[tex]\sin{2x} = \sin{\left(\frac{3\pi}{2}\right)} = -1[/tex]

Hence only the first solution is correct.

More can be learned about trigonometric equations at https://brainly.com/question/24680641

Answer: 8 spools

Step-by-step explanation:

There are 12 apartments, and each apartment will need 60 meters of cable, so 12×60= 720 meters of cable needed.

If each spool only has 100 meters and he needs 720 meters, then 720÷100= 7.2. So he would need to purchase at least 8 spools, and will have 80 meters left over.

Answer:

5. the other angle has to be 2x because of the other lines being equals so

2x+2x+x-15=180

5x-15=180

5x=195

x=19

6. the other two angle is ajacent to the other two so

3x+17+3x+17+x-9+x-9=360

8x+16=360

8x=344

x=43

7. this ones pretty simple

2x-4+3x+5+2x+11=180

7x+12=180

7x=168

x=24

8. this one to

x+x+4+3x-9=90

5x+5=90

5x=85

x=17

Hope This Helps!!!

Answer: I think it’s 647.96

Step-by-step explanation:

warning: this is not the exact value (it’s rounded)

First you find the height of the traingle

To do that, do pythagoras theorem

square root 36 squared minus 25.5 squared

then use formula for area of a triangle

answer:

y = 3x + 5

steps-explanation:

given sample equation:

comparing to the formula of slope intercept form: y = mx + b

                                              [ where m is the slope and b is the y-intercept ]

we can determine here that the slope is 3 and -1 is the y-intercept.

but here we need only the slope.

in parallel, the slope is same: 3

formula:                  

using the formula:                     [ here known that y1 is -1 and x1 is -2 ]

Answer:

9, 30, 27

Step-by-step explanation:

To find the perimeter, you must add up each side. In this scenario, we know that the perimeter is 66 feet. We also know the sides, which are n, 3n+3 and 4n-9.

So, we must add the sides to get 66 feet.

n+3n+3+4n-9=66

Combine like terms, and solve:

(n+3n+4n)+(3+-9)=66

8n+-6=66

8n-6=66

n=9

So if n=9, we can easily find the value of the other sides.

3(9)+3=30 feet.

4(9)-9=27 feet

So, the sides are 9, 30, and 27 feet (in order).

Solution:

Given:

Let's substitute the values of Length, Breadth, and Height to obtain the volume of the tank.

Now, let's convert meters into liters.

Hoped this helped!

Linear functions are functions that change at a constant rate

The linear function that models the data is [tex]P(x) = 0.025x -49.695[/tex]

From the question, we have the following ordered pairs

(x,P(x)) = (2005,43%) and (2011,58%)

Start by calculating the slope (m)

[tex]m = \frac{P(x2) - P(x1)}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{58\% - 43\%}{2011 - 2005}[/tex]

Evaluate the differences

[tex]m = \frac{15\%}{6}[/tex]

Evaluate the quotient

[tex]m = 2.5\%[/tex]

The linear function is then calculated as:

[tex]P(x) = m(x - x_1)+ P(x_1)[/tex]

So, we have:

[tex]P(x) = 2.5\%(x - 2005) + 43\%[/tex]

Rewrite as:

[tex]P(x) = 0.025(x - 2005) + 0.43[/tex]

This gives

[tex]P(x) = 0.025x -50.125 + 0.43[/tex]

[tex]P(x) = 0.025x -49.695[/tex]

Hence, the linear function that models the data is [tex]P(x) = 0.025x -49.695[/tex]

Read more about linear functions at:

https://brainly.com/question/15602982

Answer:

3884.4 is what percent of 46.8 is 8300

Answer:

1:2

Step-by-step explanation:

this would be the answer as 1 2/3: 2 2/3 are the same as 1:2 if you cancel out the 2/3 from both sides.

Answer:

5 : 8

Step-by-step explanation:

1 [tex]\frac{2}{3}[/tex] : 2 [tex]\frac{2}{3}[/tex] ( change both mixed numbers to improper fractions )

= [tex]\frac{5}{3}[/tex] : [tex]\frac{8}{3}[/tex] ( multiply both parts by 3 to eliminate the fractions )

= 5 : 8

Answer:

Option B

Step-by-step explanation:

Given the following question:

53 oz = c?
[tex]1c=8oz[/tex]
[tex]53\div8=6.625[/tex]
[tex]6.625=\frac{6625}{1000}\div125=\frac{53}{8}[/tex]
[tex]\frac{53}{8} =53\div8=6\frac{5}{8}[/tex]
[tex]=6\frac{5}{8}[/tex]

Your answer is option B or "6 5/8 cups."

Hope this helps

Answer: The first four terms are 33/4, 63/8, 15/2, and 57/8.

Step-by-step explanation: To make it easier, turn 8 1/4 into an improper fraction: 33/4. 33/4=66/8. Because the denominator is the same, it’s easier to subtract.

66/8 - 3/8 = 63/8

63/8 - 3/8 = 60/8

60/8 - 3/8 = 57/8

The first 4 terms in the sequence are 66/8, 63/8, 60/8, and 57/8. But we’re not done b/c we need to simplify. That means the first four terms are 33/4, 63/8, 15/2, and 57/8.

Answer:

1[tex]\frac{4}{15}[/tex] of straw

Step-by-step explanation:

The total amount of straw and hay together is, [tex]4 \frac{2}{3}[/tex].

and the total amount of hay alone is, [tex]3\frac{2}{5}[/tex]

All you need to do is subtract the hay from the total, which gives you, the answer above.

Answer:

third answer

Step-by-step explanation:

solve for and isolate x by moving over all other numbers to the left and then take the fifth power to make x^1/5 = to x

Answer:

10

Step-by-step explantion

Simplifying

2x + 3 + 25 = 3x + -17

Reorder the terms:

3 + 25 + 2x = 3x + -17

Combine like terms: 3 + 25 = 28

28 + 2x = 3x + -17

Reorder the terms:

28 + 2x = -17 + 3x

Solving

28 + 2x = -17 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

28 + 2x + -3x = -17 + 3x + -3x

Combine like terms: 2x + -3x = -1x

28 + -1x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0

28 + -1x = -17 + 0

28 + -1x = -17

Add '-28' to each side of the equation.

28 + -28 + -1x = -17 + -28

Combine like terms: 28 + -28 = 0

0 + -1x = -17 + -28

-1x = -17 + -28

Combine like terms: -17 + -28 = -45

-1x = -45

Divide each side by '-1'.

x = 45

Simplifying

x = 45

Answer:

Step-by-step explanation:

Exterior angle is same as sum of two remote interior angles:

Answer:

[tex]y = -\frac54x -7[/tex]

Step-by-step explanation:

Slope:

Y-intercept:

y = -5/4x -7

-Chetan K