Since 6 is not a prefect square the square root of 6 is rational?

Answer:

16 9/20 years old

Step-by-step explanation:

Leo is 13 3/ 4 years old.

Step 1

Sheila is 1 1 /2 years older than Leo

Sheila = 13 3/4 years + 1 1/2 years

13 + 1 + ( 3/4 + 1/2)

Lowest common denominator 4

14 + ( 3 + 2/4)

14 + 5/4

= 14 + 1 1/4

= 15 1/4 years old

Jane is 1 1/ 5 years older than Sheila.

Jane's age = 15 1/4 years old + 1 1/5 years

15 + 1 + (1/4 + 1/5)

Lowest common denominator = 20

16 + (5 + 4/20)

16 9/20 years old

Therefore, Jane is 16 9/20 years old

Answer:

angle NKP = 60 degrees

Step-by-step explanation:

A line will always equal 180 degrees

If angle JKM and angle MKN are complentary, that means they will add up to 90. Since angle JKM is 40 degrees, angle MKN must be 50 degrees

Angle LKP is 30 degrees

Form an equation:

180 = 40 + 50 + 30 + angle NKP

Combine like terms

180 = 120 + angle NKP

Subtract 120 from both sides to isolate the unknown angle

60 = angle NKP

Answer:

54, 32, 76, 72, 68, 29, 24,

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5

Answer:

y=11x-18

Step-by-step explanation:

y=11x+b (b is the unknown y-int)

to find the y-int, substitute in (2, 4), and solve for b *substitute in 2 for x and 4 for y*

y=11x+b

4=11(2)+b

4=22+b

b=-18

the equation of the line:

y=11x-18

Answer:

I believe its C

Step-by-step explanation:

If you take the coordinates of each point then you will realize all of them went 1 unit up and 9 units to the left.

Answer:

5×3-6×1/6×3=15-6/18=9/18=9

Answer:

5/6-1/3

taking LCM

(5-2)/6=3/6=1/2 is your answer

9514 1404 393

Answer:

  152°

Step-by-step explanation:

If two pairs of congruent angles total 360°, then the different angles must total 180°. The other angle measure is 180° -28° = 152°.

The measure of each angle in the other congruent pair is 152°.

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Answer: 20.28 cm^2

Explanation:

First find the area of the square!

7 x 2 = 14

then find the area of the circle!

We know that the DIAMETER of the circle is 4 because the total length of the square is 7 cm and there are 3cm of length on the sides of the circle

so 7-3 = 4

Then to find the area of a circle you need to use this formula:

r = radius

A = 3.14r^2

3.14(2)^2 = 12.57

Then you need to divide it by TWO because its a half circle!

12.57 / 2 = 6.285

14 + 6.285 = 20.28 cm^2

I hope this helped!

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- Zack Slocum

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Step-by-step explanation:

there are 3 ways to solve SAS triangle

first figure out [tex]\angle C [/tex]

to do so we will use the formula of law of cosine of C angle

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]

substitute the given values of a,b and [tex]\angle C[/tex]

[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]

simplify squares:

[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]

simplify addition:

[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]

square root both sides

[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]

simplify:

therefore

[tex]\bold{c=3.23}[/tex]

use law of sine to figure out angle A

[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]

therefore

[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)

therefore

[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]

[tex]\bold{= 100.64}[/tex]

Answer: D

Step-by-step explanation:

Answer:

[tex]6x^{2}+10x-12[/tex]

Step-by-step explanation:

Answer:

It should be Ratio and Proportions .

Answer:

Step-by-step explanation:

a proportion.  Both ratios are the same thing. If you divide 15000 by 30 you get 500

If you divide 210 by 30, you get 7

It is always true that a proportion will have equal equal ratios on either side of the equal sign.

Answer:6x=-23 - 1

6x=-24

X=-4

Step-by-step explanation:

Answer:

She will need 17 flats and will have 1 plant left over.

Step-by-step explanation:

six can go into 103 17 times, with a remainder of one.

Answer:

A = 24 points

B = 12 Points

Step-by-step explanation:

Team A and team B play in a competition

Team A has 12 more points than team B

A = B + 12

Team A has twice as many points as team B

A = 2B

We substitute

2B = B + 12

2B - B = 12

B = 12 points

Solving for A

A = 2B

A = 2 × 12

A = 24 points

Answer:

24 more chocolotae chip cookies are sold

Step-by-step explanation:

CCC  7(15)+6    105+6=111

SC   6(15)-3      90-3 = 87

111-87 = 24

Answer:

general, efficiency is the amount used divided by the amount ... irrigation such as reduced labor and water cost also factor into ... What is the percent change from Loose to Hard. ... 2 hours if average hourly radiation energy input (RS) is ... minimum temperature is 8 ... (c) What is the pressure in the container at a depth 0.5 ft.

Step-by-step explanation:

Answer:

m^3 + 3m, I simplified.

Answer:

12 drawings

Step-by-step explanation:

Here is the question used in answering this question ;

Paisley works on her drawings for 2 hours. She spends 1/6 hour on each drawing. How many drawings does she work on in 2 hours?

to determine the answer, divide 2 hours by 1/6 hour

2 ÷ [tex]\frac{1}{6}[/tex]

2 x 6 = drawings

Answer:

y = -x+4

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( 4-3)/(0-1)

   = 1 /-1

  = -1

The y intercept is (0,4) or 4

The slope intercept form is

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

y = -x+4

Answer:

0 and 1

Step-by-step explanation:

Answer:x=−4,x=0,x=5

Step-by-step explanation:

take out a common factor of

x

2

f

(

x

)

=

x

2

(

x

2

−

x

−

20

)

the factors of - 20 which sum to - 1 are - 5 and + 4

⇒

f

(

x

)

=

x

2

(

x

−

5

)

(

x

+

4

)

to find zeros set

f

(

x

)

=

0

⇒

x

2

(

x

−

5

)

(

x

+

4

)

=

0

equate each factor to zero and solve for x

x

2

=

0

⇒

x

=

0

with multiplicity 2

x

−

5

=

0

⇒

x

=

5

x

+

4

=

0

⇒

x

=

−

4take out a common factor of

x

2

f

(

x

)

=

x

2

(

x

2

−

x

−

20

)

the factors of - 20 which sum to - 1 are - 5 and + 4

⇒

f

(

x

)

=

x

2

(

x

−

5

)

(

x

+

4

)

to find zeros set

f

(

x

)

=

0

⇒

x

2

(

x

−

5

)

(

x

+

4

)

=

0

equate each factor to zero and solve for x

x

2

=

0

⇒

x

=

0

with multiplicity 2

x

−

5

=

0

⇒

x

=

5

x

+

4

=

0

⇒

x

=

−

4

Answer:

64 degrees

Step-by-step explanation:

Combining the 90 degrees, x degrees, and 26 degrees creates a flat angle or 180 degrees

so first, combine 90 and 26 degrees

90+26= 116

then subtract 116 from 180

180-116= 64 degrees

Answer:

no it is not able to be factored

Answer:

Step-by-step explanation:

(a) 7x = 56

divide through by 7

x= 8

(b) 4n = 48

divide through by 4

n = 12

(b) 5c = 80

divide through by 5

n = 16

Answer:

a. 8

b. 12

c.  16

Step-by-step explanation:

7x= 56

You have to get x alone so divide

Divide by 7 to get answer (whatever you do to one side, do to the other)

x= 8

EDIT:

4a. 7x=56

7x/7 = 56/7

x= 8

4b. 4x=48

4x/4=48/4

x= 12

4c. 5c= 80

5c/5=80/5

c=16

the same goes for the rest

p.s. pls practice your multiplication as you will need it throughout high school :)