If m and n are rational numbers such that root m + root n = root 7+ 48, calculate the possible
value of m^2+n^2?.

Answer: 3 7/12

Step-by-step explanation:

1. Solving the whole number

4-1=3

2. Solving the fraction parts

3/4 - 1/6=

Find the LCM. The LCM is 12 so we rewrite the factions like this:

9/12-2/12=7/12

3. Add.

3+ 7/12= 3 7/12

Hey there!

4 3/4 - 1 1/6

= 19/4 - 7/6

= (19 × 6) - (7 × 4) / 4 × 6

19 × 6 = 114

7 × 4 = 28

= 114 - 28 / 4 × 6

4 × 6 = 24

114 - 28 / 24

114 - 28 = 86

= 86/24

= 3 7/12

Answer: 86/24 OR 3 7/12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

a = 5

Step-by-step explanation:

Angles A and B are the same at 45, a and b are also the same

The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.

sin(A)/a = sin(B)/b = sin(C)/c

Substitute the known values into the law of sines to find a.

SinA / a = sin(90) / 5√2

a = 5

Cylinder A -

Surface Area:

A = 2πrh + 2πr^2

A = 2 · π · 5 · 7.5 + 2 · π · 25 ≈ 392.69908

A = 392.7 cm^2

Volume:

V = πr^2h

V = π · 25 · 7.5 ≈ 589.04862

V = 589 cm^3

Cylinder B -

Surface Area:

A = 2πrh + 2πr^2

A = 2 · π · 3.5 · 5 + 2 · π · 12.25 ≈ 186.92476

A = 186.9 cm^2

Volume:

V = πr^2h

V = π · 12.25 · 5 ≈ 192.42255

V = 192.4 cm^3

Answer:

a) surface area: 125pi     volume: 187.5pi

b) (i dont know what you mean by "in terms of ." so ill give both)

surface area: 210pi or 659.734     volume: 61.25pi or 192.422

Step-by-step explanation:

a) surface area is this

2pirh+2pir^2

plug it in..

2pi(5)(7.5)+2pi(5)^2

simplify...

75pi+50pi

125pi

volume is this

pir^2h

plug it in...

pi(5)^2(7.5)

simplify...

187.5pi

b is basically same steps.

(i had to replace all the pi symbols with "pi" because it was inappropriate???)

Answer:

C = 2πr

Step-by-step explanation:

We know that, the perimeter of a figure is equal to the sum of all sides.

A circle having no sides.

The perimeter of a circle = The circumference of the circle

The formula for the circumference of the circle is given by :

C = 2πr

Where

r is the radius of the circle

Hence, this is the required solution.

Answer

177.62

Step-by-step explanation:

Answer:

r≈5.09cm

Step-by-step explanation:

Answer:

-25, -14, -10, -9, -8, -7, 0, 2

Step-by-step explanation:

You do thing and it work

Answer:

95

Step-by-step explanation:

jdisusyhsyysysyydyydyyddhdhhdhhdhhd random

Answer:

A. 8/5

Step-by-step explanation:

please be careful when typing the question. you made a mistake here (you wrote "x+2" instead of "x+1"). luckily you have provided also the screen shot.

the used symbolism of a composite function is nothing else than asking for

g(h(x)) for x=-3.

so, first we need to calculate h(-3) = 4 - -3 = 7

then we take that result as argument for g : g(7) = 8/5

so, altogether

g(h(-3)) = g(7) = 8/5

we can do this generically for x by substituting x in g by the expression of h

g(h(x)) = ((4-x) + 1) / ((4-x) - 2) = (5-x)/(2-x)

for x = -3 this gives (5- -3)/(2- -3) = 8/5

The value of the composite function  (g o h) (-3) is 9/5.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

First, we need to find the composition g o h, which means we need to substitute h(x) into g(x), so that:

(g o h)(x)

= g(h(x))

= g(4 - x)

= [(4 - x) + 2] / [(4 - x) - 2]

= (6 - x) / (2 - x)

Now, we can find (g o h)(-3) by substituting x = -3 into the expression above, which gives:

(g o h)(-3)

= (6 - (-3)) / (2 - (-3))

= 9 / 5

Therefore,

The value of (g o h)(-3) is 9/5.

Learn more about functions here:

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Answer:

2700 seconds

Step-by-step explanation:

The notation " ' " is said as "minutes".

° = degrees; ' = minutes; " = seconds

45 minutes

1 minute = 60 seconds

1*45=60*45

45 minutes = 2700 seconds

Answer:

6 triangles

i am not very sure thou

Answer:

The answer is A.

Step-by-step explanation:

The answer is A because an obtuse angle rounds to 120 degrees, then you divide it by 6 which is A.

Answer:

the value of p is 7

Step-by-step explanation:

Given function;

f(x) = 2x³ - 7px + (p - 12)

factor of the given function = x - 5

Apply remainder theorem to solve for p

f(x - 5) = 0

x - 5 = 0

x = 5

f(5) = 2(5)³ - 7p(5) + (p - 12) = 0

        2(125) - 35p  + p - 12 = 0

         250 - 34p  - 12 = 0

        238  - 34p = 0  

           34p  = 238

                p = 238/34

                 p = 7

Therefore, the value of p is 7

Answer:

2 ( 3x - 9y + 18)

3 ( 3x - 6y + 12)

Inclusively:

6 ( x - 3y + 6)

Answer:

y = -2x+6

y=8  when x = -1

Step-by-step explanation:

2x + y = 6

Slope intercept form is  y = mx+b where m is the slope and y is the intercept

Solve for y

Subtract 2x from each side

y = -2x+6

The slope is -2 and the y intercept is -6

Let x = -1

y = -2(-1) +6

y = 2+6

y=8

(-1,8)

Answer:

y = -2x + 6

y = 8

Step-by-step explanation:

Rewrite this equation in Slope Intercept form

2x + y = 6

Subtract 2x from both sides

y = -2x + 6

------------------------------

solve the equation at x = -1

y = -2(-1) + 6

y = 2 + 6

y = 8

Answer:

below

Step-by-step explanation:

steps are shown above

Answer:

a). 840 b). 14

Step-by-step explanation:

a). 840 miles

350 miles ÷ 25 gallons = 14

14 (miles per gallon) x 60 gallons of gas = 840

b). 14

(first step of the first answer)

350 miles ÷ 25 gallons = 14 miles per gallon

hope this helped!

a) 840 miles can go for 60 gallons of gas.

b) The mileage is 14 miles per gallon.

Here, we have,

given that,

A new truck can travel 350 miles on 25 gallons of gas.

now, we have,

a). we get,

the milage of the truck is:

350 miles ÷ 25 gallons = 14

so, we get,

for 60 gallons of gas it can go:

14 (miles per gallon) x 60 gallons of gas = 840

so, 840 miles can go for 60 gallons of gas.

b). and, again we have,

the milage of the truck is:

(first step of the first answer)

350 miles ÷ 25 gallons = 14 miles per gallon

so, The mileage is 14 miles per gallon.

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Answer:

False ..... ....... . . .. ..

Answer:

-6 and 11

Step-by-step explanation:

The only factors of 66 are 11, 6, 2 and 3

11*6 is the only pair whose product is 66

The difference betwen 11 and 6 is 5

11 must be positive and 6 negative since the sum is positve

Answer:

Sophia can drive 3672 miles using 18 galloons of gas.

Step-by-step explanation:

204 x 18 = 3672.

Calculate miles per gallon by dividing the miles she drove you the gallons used:

204/8 = 25.5 miles per gallon.

Now multiply miles per gallon by gallons:

25.5 x 18 = 459 miles

Answer: 459 miles

Answer:

2√10

Step-by-step explanation:

√40 = √(2 × 2 × 2 × 5) = 2√10.

Answer:25%

Step-by-step explanation:A pectange has to be out of 100 so that means 5/20 is 25/100 because 20 times 5 equals 100 and 5 times 5 equals 25 making it 25%.

Answer:

6748.8 km

Step-by-step explanation:

in 1 hour = 1824

in 3.7 hour = 1824×3.7

=6748.8 km

Answer:

1 a) 124

Step-by-step explanation:

x +1 /5 =25

x +1 =25*5

x+ 1=125

x = 125-1

x=124

Answer:

Step-by-step explanation:

3

Answer:

Box Number 3.

Step-by-step explanation:

4 is a coefficient in 4x because 4x is really 4*x which has 4 multiplying x. This is the same as 4 working with x. Also none of the other answers are true.