Help! 2a+2b=360
a) a = 60 degrees
b) a= 75 degrees
use algebra to solve for b

radius= 10 inches

3 revolutions in 2 seconds.

the linear velocity.

[tex]2\pi \: r = 2 \times \pi \times 10[/tex]

[tex] = 62.85inches[/tex]

[tex](3 \times 62.85)[/tex]

[tex] = 188.57[/tex]

[tex] \frac{188.87}{2} [/tex]

[tex] = 94.28[/tex]

hence, the linear velocity of the object is 94.28 in/s.

Answer:

164 ft

Step-by-step explanation:

The TIME of maximum height   (this is a dome shaped parabola)

        will be given by t = -b/2a = - 64 / (2)(-16) = 2 sec

Putting in t = 2   into the equation will give the max height

-16 (2^2) + 64(2) + 100 = max = 164 ft

Answer:

20

Step-by-step explanation:

Answer

128

Step-by-step explanation:

72+56=128

You are welcome

Answer:

17. 125 ft^2

18. 9.4 in^2

Step-by-step explanation:

Both 17 and 18 are similar. You split that it into pieces.

Area of Rectangle/Square: Area = Length * Width

Area of a Triangle: Area = 1/2 * Base * Height.

17.

Area Rectangle:

Area = Length * Width

Area = 10 ft * 6 ft = 60 ft^2

Area Triangle:

Area = 1/2 * Base * Height

Area = 1/2 * 10 ft * 13 ft = 65 ft^2

Total Area = 60 ft^2 + 65 ft^2 = 125 ft^2

18.

Area Rectangle:

Area = Length * Width

Area = 2.7 in * 2 in = 5.4 in^2

Area Triangle:

Area = 1/2 * Base * Height

Area = 1/2 * 2 in * 4.4 ft = 4.4 ft^2

Total Area = 5.4 ft^2 + 4.4 ft^2 = 9.4 ft^2

Answer:

The answer is B

Step-by-step explanation:

Btw if its wrong im sorry

Hi!

The words "y varies inversely as x" automatically means we can write:

[tex]y=\cfrac{k}{x}[/tex]

Note that this is a fraction because it said "inversely". If it had said "jointly" or "directly", it would have been [tex]y=kx[/tex].

Now, we plug in the given values to solve for k.

We are given:

[tex]y = 0.4[/tex]

[tex]x = 0.8[/tex]

Plug those in and we have:

[tex]0.4=\cfrac{k}{0.8}[/tex]

Multiply both sides by [tex]0.8[/tex]:

[tex]0.32=k[/tex]

Now, with the value of [tex]k[/tex] solved for, we put it back into the original equation, and that's your answer:

[tex]y=\cfrac{0.32}{x}[/tex]

For a similar problem, see:

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The only solution that is true about the dependent system of equations is "There are infinitely many solutions".

Inconsistent System

For a  system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of equations to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

As discussed above the Dependent consistent system has infinitely many solutions as their line are coinciding, therefore, the only solution that is true about the dependent system of equations is "There are infinitely many solutions".

Learn more about the System of equations:

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Answer:

Step-by-step explanation:

from Cyrus' to Jane's ,  the distance is  D= [tex]\sqrt{8^{2} +21^{2} }[/tex] = 22.47 mi

from Adriana's to Madisyn's , the dist. is D =[tex]\sqrt{21^{2} +14^{2} }[/tex] = 25.24 mi

Answer:

Step-by-step explanation:

h=b+2(assume h is hieght and b is base)

b*(b+2)=60

bb+2b=60

b=-1+√61

h=1+√61

Answer:

base=10

height=12

Step-by-step explanation:

Area of triangle formula is given by: A = (1/2)*b*h

where b: base of the triangle

           h: height of the triangle

Given that: h=b+2

                  A= 60 square yards

Solution:

60= (1/2)*b*(b+2)

[tex]\frac{b(b+2)}{2}[/tex] = 60

b²+2b=120

b²+2b-120=0

We got the quadratic equation: b²+2b-120=0

solve it to find b:  

Let x: coefficient of b² (x=1)

Let y: coefficient of b  (y=2)

Let z: constant (z= -120)

discriminant= y² - 4xz = 4 - 4(1)(-120) = 484

discriminant>0 so the equation has two roots:

b1= (-y-redical discriminant)/2x = (-2-redical(484))/2 = -12

b2= (-y+redical discriminant)/2x = (-2+redical(484))/2 = 10

b1= -12 is rejected because the base can't be negative

So b2=base=10

Now that we found the base, substitute to get the height:

h= b+2 = 10+2 =12

So height=12

Answer:

Describe a set of transformations that would map triangle FGH onto F'G'H

Step-by-step explanation:

Answer:

0.01296  to 5 decimal places.

Step-by-step explanation:

P(3) =  10! / 3! 7! * (0.68)^3 (1 - 0.68)^(10-3)

= 120 * (0.68)^3 * (0.32)^7

= 120 * 0.314432 * 0.00034359738

= 0.01296456

Answer:

B) r = -0.35

Step-by-step explanation:

Correct me if I'm wrong

From the definition, we have

[tex]\displaystyle f'(10) = \lim_{x\to0} \frac{f(x) - f(10)}{x - 10}[/tex]

With [tex]f(x)=\sqrt{x-1}[/tex], we get [tex]f(10)=\sqrt{10-1}=\sqrt9=3[/tex]. So the limit we want to compute is

[tex]\displaystyle f'(10) = \lim_{x\to0} \frac{\sqrt{x-1} - 3}{x - 10}[/tex]

Rationalize the numerator by multiplying by its conjugate:

[tex]\displaystyle \frac{\sqrt{x-1} - 3}{x - 10} \times \frac{\sqrt{x-1}+3}{\sqrt{x-1}+3} = \frac{\left(\sqrt{x-1}\right)^2-3^2}{(x-10)\left(\sqrt{x-1}+3\right)} = \frac{x-10}{(x-10)\left(\sqrt{x-1}+3\right)}[/tex]

x is approaching 10, which is to say x ≠ 10, so we can cancel the factors of x - 10 and remove the discontinuity.

Then we're left with

[tex]\displaystyle f'(10) = \lim_{x\to0} \frac1{\sqrt{x-1}+3} = \frac1{\sqrt{10-1}+3} = \frac1{\sqrt9+3} = \frac1{3+3} = \boxed{\frac16}[/tex]

evaluated by direct substitution, which we can do since the limand is continuous.

Answer:

41.65

Step-by-step explanation:

First do 5.5*20.7 because of PEMDAS or GERMDAS which is basically saying the order of how to solve expressions/equations

5.5*20.7=113.85

Then subtract 113.85 from 155.5

155.5-113.85=41.65

[tex]\sqrt[3]{4 a^4 b^5} = \sqrt[3]{4 \times 4^4 \times 2^5} = \sqrt[3]{(4\times 2)^5} = \sqrt[3]{(2^2\times2)^5} = \sqrt[3]{(2^3)^5} = \sqrt[3]{2^{15}} = \sqrt[3]{(2^5)^3} = 2^5 = 32[/tex]

[tex]\dfrac{a-c}{(b+c)^2} = \dfrac{4-(-5)}{(2+(-5))^2} = \dfrac{4+5}{(2-5)^2} = \dfrac9{(-3)^2} = \dfrac99 = 1[/tex]

Then the expression evaluates to 32 + 1 = 33.

The value of the expression

[tex]$\sqrt[3]{4a^4b^5} + \dfrac{a - c}{(b+c)^2}$[/tex]

is 33 when $a = 4$, $b = 2$, and $c = -5$.

Let's substitute the given values into the expression and calculate the result:

Given:

$a = 4$

$b = 2$

$c = -5$

Substituting the values:

[tex]$\sqrt[3]{4a^4b^5} + \dfrac{a - c}{(b+c)^2} = \sqrt[3]{4(4)^4(2)^5} + \dfrac{4 - (-5)}{(2+(-5))^2}$[/tex]

Calculating the values within the cube root:

[tex]$\sqrt[3]{4(4)^4(2)^5} = \sqrt[3]{4 \cdot 256 \cdot 32} = \sqrt[3]{32768} = 32$[/tex]

Calculating the values within the fraction:

[tex]$\dfrac{4 - (-5)}{(2+(-5))^2} = \dfrac{4 + 5}{(-3)^2} = \dfrac{9}{9} = 1$[/tex]

Now we can substitute the calculated values back into the expression:

[tex]$\sqrt[3]{4a^4b^5} + \dfrac{a - c}{(b+c)^2} = 32 + 1 = 33$[/tex]

Therefore, the value of

[tex]\sqrt[3]{4a^4b^5} + \frac{a - c}{(b+c)^2} \: is \: 33 \: when \: a = 4, \: b = 2, and \: c = -5[/tex]

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Answer:

A complementary angle is 63 degrees and supplementary angle is 153 degrees.

Step-by-step explanation:

Complementary angle:

A complementary angle adds up to 90 degrees, so you have to subtract 27 from 90.  90-27=63

Supplementary angle:

A supplementary angle adds up to 180 degrees, so you have to subtract 27 from 180. 180-27=153

For this case we have the following expression:

[tex]5(y-6)[/tex]

We observe that the number 5 is a common factor of both terms within the parenthesis.

To prove it, we can apply the distributive property.

We have then:

[tex]5y-30[/tex]

We observe then that 5 is a common factor of the given expression.

Answer:

An algebraic expression that is a product with a factor of 5 is:

A) 5 (y-6)

Answer:

11/3

Step-by-step explanation:

convert the 7 1/3 to 22/3 then convert the 3 2/3 to 11/3 and subtract.

Answer:

3rd option

Step-by-step explanation:

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{15}{17}[/tex]

Answer:

bc it dose

Step-by-step explanation:

Answer:

y=5

x=31

Step-by-step explanation:

5y=25

y=5

25+25+10x=360

50+10x=360

x=31

Answer:

$ 12 926.56

Step-by-step explanation:

If compounded annually:

  FV = 6000 ( 1 + .0525)^15 =

Answer:

x = 6

Step-by-step explanation:

Step 1. Rewrite in the form of y=mx+b

Step 2. Set y = 0 and solve for x

y - 6 = x - 12

y = x - 12 + 6

y = x - 6

0 = x - 6

6 = x

Answer:

y = x - 6

x = y + 6

Step-by-step explanation:

For y:

y - 6 = x - 12

y = x - 12 + 6

y = x - 6

For x:

y - 6 = x - 12

y - 6 + 12 = x

y + 6 = x

_______

Hope it helps ⚜

They do through following ways

Answer:

Second and third one

Step-by-step explanation:

2 nd and third one ( are the same equation)

Answer:

5.

Step-by-step explanation:

Have you heard of something called reading?

[tex] \alpha + \beta = 90[/tex]

[tex] \beta + 4 \alpha = 180[/tex]

[tex] - \alpha - \beta = - 90[/tex]

[tex] \beta + 4 \alpha = 180[/tex]

[tex]3 \alpha = 90[/tex]

[tex] \alpha = 30[/tex]

[tex] \beta = 90 - \alpha = 90 - 30 = 60[/tex]

[tex]( \alpha = 30) < = > ( \beta = 60)[/tex]