wite the value of divide 27 over 9 as a fraction in its lowest terms

Answer:

a + b + c = 12

Step-by-step explanation:

The given information are;

a² + b² + c² = 138

a·b + b·c + c·a = 3

The required data = a + b + c

Using an online tool, we have;

(a + b + c)² = (a + b + c) × (a + b + c) = 2·a·b + 2·b·c + 2·c·a + a² + b² + c²

∴ (a + b + c)² = 2·(a·b + b·c + c·a) + (a² + b² + c²)

Where;

a·b + b·c + c·a = 3, and a² + b² + c² = 138, we have;

(a + b + c)² = 2 × 3 + 138 = 144

(a + b + c)² = 144

(a + b + c) = √144 = 12

a + b + c = 12.

Answer:

[tex]V=210\ cm^3[/tex]

Step-by-step explanation:

The legs measuring 10 cm and 14 cm.

The height of the pyramid is 9 cm.

We need to find the volume of the pyramid. The formula for the volume of a right pyramid is given by :

[tex]V=\dfrac{1}{3}Bh[/tex]

Where

B is area of base,

[tex]B=\dfrac{1}{2}\times 10\times 14=70\ cm^2[/tex]

Put all the values,

[tex]V=\dfrac{1}{3}\times 70\times 9\\\\V=210\ cm^3[/tex]

So, the volume of the right pyramid is equal to [tex]210\ cm^3[/tex].

Answer:

A grizzly bear's normal heart rate when not hibernating is about 50 beats per minute.

Step-by-step explanation:

10÷50=.20

Answer:

Step-by-step explanation:

12x-6/3

=12x/3 - 6/3

=4x-2

or

12x-6/3

take 6 common

6(2x-1)/3

2(2x-1)

4x-2

Answer:

4x -2

Step-by-step explanation:

(12x - 6) / 3

= 6 common

= 6(2x-1)/3

= 2(2x-1)

= 4x-2

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

An arithmetic sequence is defined by:

[tex]a_n = a_{n-1} + d[/tex]

Here, we know that:

[tex]a_3 = 14\\a_{10} = 98[/tex]

Using the recursive relation, we can write:

[tex]a_{10} = 98 = a_9 + d[/tex]

And can keep applying the recursive relation, so we will have:

[tex]98 = a_9 + d = (a_8 + d) + d = a_8 + 2*d[/tex]

And so on, until we get to a known term:

[tex]98 = a_8 + 2*d = a_7 + 3*d = a_6 + 4*d = a_5 + 5*d = a_4 + 6*d = a_3 + 7*d[/tex]

[tex]98 = a_3 + 7*d = 14 + 7*d[/tex]

Then we can solve:

98 = 14 + 7*d

for d:

98 - 14 = 7*d

84 = 7*d

84/7 = d = 12

Now we know the value of d, we can keep using the recursive relation to find the first 3 terms:

Here, we can rewrite the recursive relation as:

[tex]a_{n-1} = a_n - d[/tex]

Then:

[tex]a_2 = a_3 - d = 14 - 12 = 2\\a_2 = 2[/tex]

[tex]a_1 = a_2 - d = 2 - 12 = -10\\a_1 = -10[/tex]

[tex]a_0 = a_1 - d = -10 - 12 = -22\\a_0 = -22[/tex]

Then the first 3 terms are:

-22, -10, 2

Answer:

5 men and 2 women = 7 people with no restriction

a) Two women must sit next to each other:

b) The two women must not sit next to each other:

3 men and 5 women with no restriction:

Step-by-step explanation:

RAMS SALARY=RS.200×20%

=40+200

=RS.240.00

ANSWER IS OPTION B

Answer:

x = 21º

Step-by-step explanation:

∆ ABC is isosceles therefor

Angles B and C are congruent

(180  - 18)/2 = 162/2 = 81º

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

∆ BCD is equilateral  therefor all angles are 60º

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

x = = 81 - 60

x = 21º

Answer:

6

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

I took the test :)

line y = − x / 5 + 4 / 5

slope( m1) = -1/5

Slope of required line( m2) = 5

[as it is perpendicular to given eqn of line

m1×m2= -1

m2=1/m1= 5]

y-4= 5(x+3)

y-4=5x+15

y=5x+19

Answer:

7x

Step-by-step explanation:

Common ratio = 2nd term ÷ first term

[tex]= \frac{35x^{2}}{5x}=\frac{35 * x * x}{5 *x}\\\\= 7x[/tex]

Answer: $775.50

explanation: I just looked it up and another website had the same question but also had the answer

Answer:

Step-by-step explanation:

D) Has a five sided shape as a base so its a pentagon-based pyramid

E)Two pentagons and retangular sides Pentagonal Prism

F)All sides and bases are rectangular so Rectangular Prism

G) Eight sided base and triangle shaped sides, Octogon-based Cone

Answer:

6^10

Step-by-step explanation:

6^2 * 6^11

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

6^3

First simplify the numerator.  We know a^b*a^c = a^(b+c)

6^(2+11)

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

6^3

6^(13)

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

6^3

Then a^b / a^c = a^(b-c)

6^(13-3) = 6^10

Answer:

6^10

Step-by-step explanation:

To solve this you need to remember 2 things.

First off, multipication is addition with exponents.

And secondly, division is subtraction with expoinents.

So on the top we have 6^2*6^11

So this is really 6^11+2

=

6^13

Now we need to divide by 6^3:

6^13/6^3

And this would tecnically be:

6^13-3

=

6^10

So the expression 6^10 is your answer.

Hope this helps!

Answer:

89*

Step-by-step explanation:

To find the value of m<1, you need to find the angle right next to it (the third interior angle that isn't labeled).

To find that angle (let's call it x), we have to use an equation.

Since a triangle has a sum of 180* for the interior angles in it, then we can use that to solve for x.

x + 53 + 36 = 180

x + 89 = 180

x = 91

Now to find m<1, we need to use the supplementary angles theorem.

Since m<1 and x are supplementary angles, the sum of those angles would be 180. Using this, we can create an equation.

x + m<1 = 180

91 + m<1 = 180

m<1 = 89

Hence, m<1 is 89*!

Hope this helped! <3

Answer:

2

Step-by-step explanation:

take any point

i am taking F

coordinate of F is (5 , 3)

F' is (10,6)

so use formula

(x , y) = (kx , ky)

(5 , 3) = (5k , 3k) = (10 , 6)

compare corresponding elements

5k = 10

k = 10/5

k = 2

3k = 6

k = 6/3

k = 2

note here k means scale factor

Answer:

2(13x – 7)

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

Okay so as you can see there is an x shape and whenever you have that it means they are verticle angles. So we can conclude that 25 is verticle to x and so x is equal to 25.

Answer:

14/15 :]

Step-by-step explanation:

you dont have to follow me buts its appreciated!

Let G be some point on the diagonal line away from point E.

Angle DEG represents angle 1.

We're given that angle DEF is a right angle which means it's 90 degrees. Angle DEG is some angle smaller than 90 degrees. By definition, that must mean angle 1 is acute. Any acute angle is smaller than 90 degrees. There's not much else to say other than this is just a definition problem.

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

Extra side notes:

If angle 1 was a right angle, then that would mean angle GEF would have to be 0 degrees; however the diagram shows this isn't the case.

If angle 1 was obtuse, then there's no way we'd be able to fit it into angle DEF. In other words, there's no way to have an angle larger than 90 fit in a 90 degree angle.

Answer:

x = [tex]\frac{3+\sqrt{105} }{8} , \frac{3-\sqrt{105} }{8} x=1.655,-0.905[/tex]

Step-by-step explanation:

3x+6 = 4x^2

4x^2 -3x -6 = 0

x = [tex]\frac{3+\sqrt{105} }{8} , \frac{3-\sqrt{105} }{8} x=1.655,-0.905[/tex]

Answer:

952

Step-by-step explanation:

If you have anything else that has to do with donuts it goes straight to me.

Answer:

102 more donuts

Step-by-step explanation

when dealing with how much percent increase you multiply the amount by the percent in decimal form . So 850x0.12 is 102.

Answer:

25.2 in.

Step-by-step explanation:

Given:

RQ = 7 in.

QL = 24 in.

LK = 3 in.

Required:

Length of diagonal RK

Solution:

Apply the extension of the Pythagorean theorem which is:

d² = x² + y² + z²

Where,

d = RK

x = RQ = 7 in.

y = QL = 24 in.

z = LK = 3 in.

Plug in the values

d² = 7² + 24² + 3²

d² = 634

d = √634

d = 25.1793566 ≈ 25.2 in. (nearest tenth)

Answer:

[tex]x=100\\y=60[/tex]

Step-by-step explanation:

The shape of the figure is quadrilateral, that means overall it will be 360 degrees.....

Angle of straight line to find x:

[tex]x+80=180[/tex]

[tex]x=180-80[/tex]

[tex]x=100[/tex]

Now, both the values of x will be 100

Find the value of y:

[tex]y+100+120+80=360[/tex]

[tex]y+300=360[/tex]

[tex]y=360-300[/tex]

[tex]y=60[/tex]

Therefore, [tex]x=100[/tex] and [tex]y=60[/tex]

hope this helps, have a good day.....

f(-6) = 5

Just look at the graph when x= -6 , y = 5

Answer:

Step-by-step explanation:

See image -->Answer

Answer:

The expressions are not equivalent.

Step-by-step explanation:

Here we have two expressions:

4*(2 + p)

14 + p

We want to evaluate these two expressions in two different values of p to check if the expressions are equivalent or not.

First, we evaluate both of them in p = 2, this is just replace p by 2 in each expression and then solve it.

4*(2 + 2) = 4*4 = 16

14 + 2 = 16

In this case, we can see that both expressions yield the same number, so we could think that the expressions are equivalent, now let's try with other value of p.

Now let's do it with p = 8

4*(2 + 8) = 4*10 = 40

14 + 8 = 22

Now we can see that the results are different, then we can conclude that the expressions are not equivalent.

Answer:

Use p = 2 and p = 8 to determine if the two expressions are equivalent.

   4(2 + p)    14 + p

Complete the statements.

If both expressions have the same value after substituting two different values and simplifying, then they are

✔ equivalent expressions

.

When p = 2, the first expression is

✔ 16

and the second expression is 16.

When p = 8, the first expression is 40 and the second expression is

✔ 22

.

The expressions are

✔ not equivalent

.

Answer:

Step-by-step explanation:

none in the first 3 box

none in the second 3 boxes

2 in the third 3 boxes

1 in the 4th three boxes

1 in the 5th three boxes

3 in the 6th three boxes

and none in the last 3 boxes

hope this helped :D

Answer:

see screenshot

general formula is

r² = (x - x-center)² + (y - y-center)²