Which expression is equivalent to 6(4 + 9)?

A. 6(36)

C. 6(4) + 6(9)

B. (6 + 4). (6 + 9)

D. 6(4):69)

Answer:

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

Step-by-step explanation:

To find - Write the exact value of the side length of a square whose are in square units are given

a) 36

b) 37

c) 100/9

d) 2/5

e) 0.0001

f) 0.11

Proof -

We know that ,

If a is the side length of the square then,

Area of square = a²

Now,

a) 36

⇒a² = 36

⇒a² = (6)²

⇒a = 6

∴ we get

Side length of the square is 6 units.

b.) 37

⇒a² = 37

⇒a² = [sqrt(37)]²

⇒a = sqrt(37)

∴ we get

Side length of the square is sqrt(37) units.

c.)100/9

⇒a² = 100/9

⇒a² = [10/3]²

⇒a = 10/3

∴ we get

Side length of the square is 10/3 units.

d.)2/5

⇒a² = 2/5

⇒a² = [sqrt(2/5)]²

⇒a = sqrt(2/5)

∴ we get

Side length of the square is sqrt(2/5) units.

e.)0.0001

⇒a² = 0.0001

⇒a² = [0.01]²

⇒a = 0.01

∴ we get

Side length of the square is 0.01 units.

f.)0.11

⇒a² = 0.11

⇒a² = [sqrt(11)/10]²

⇒a = sqrt(11)/10

∴ we get

Side length of the square is sqrt(11)/10 units.

We get the value of the,

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

We have to find the exact value of the side length of a square whose are in square units are given

a) 36

b) 37

c) 100/9

d) 2/5

e) 0.0001

f) 0.11

We have given that,sqrt(9) to represent the square root of 9.

We know that ,

If a is the side length of the square then,

Area of square = a²

For option a) 36

⇒a² = 36

⇒a² = (6)²

⇒a = 6

∴ we get side length of the square is 6 units.

For the option b is  37.

⇒a² = 37

⇒[tex]a^2 = \sqrt{37} ^2[/tex]

⇒[tex]a = sqrt(37)[/tex]

∴ we get side length of the square is  [tex]\sqrt(37)[/tex]  units.

c.)100/9

⇒[tex]a^2 = 100/9[/tex]

⇒[tex]a^2= [10/3]^2[/tex]

⇒[tex]a = 10/3[/tex]

∴ we get side length of the square is 10/3 units.

for the option d.)2/5

[tex]a^2= 2/5[/tex]

[tex]a^2 = [\sqrt(2/5)]^2[/tex]

⇒[tex]a = \sqrt(2/5)[/tex]

∴ we get side length of the square is [tex]\sqrt(2/5)[/tex]units.

for the option e.)0.0001

[tex]a^2 = 0.0001[/tex]

[tex]a^2 = [0.01]^2[/tex]

[tex]a = 0.01[/tex]

∴ we get side length of the square is 0.01 units.

For option f.)0.11

⇒[tex]a^2 = 0.11[/tex]

⇒[tex]a^2= [\sqrt(11)/10]^2[/tex]

[tex]a = \sqrt(11)/10[/tex]

∴ we get side length of the square is[tex]\sqrt(11)/10[/tex] units.

Therefore we get,we get the value of the,

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

To learn more about  the area visit:

https://brainly.com/question/25292087

Answer:

Step-by-step explanatio

1mile = 5280 feet

607,200 / 5280 = 115

607,200 feet per hour = 115 miles per hourn

Answer:

diameter of the wheel = 28.98 in (2 d.p.)

Step-by-step explanation:

Given information:

Circumference of a circle = πd  (where d is the diameter)

One rotation of the wheel is equal to the circumference of the wheel.

Therefore, 5 rotations is equal to the sum of 5 circumferences.

To find the diameter of the wheel in feet, equate the expression for 5 circumferences to the total distance traveled and solve for d:

[tex]\begin{aligned}\textsf{5 circumferences} & = \textsf{total distance traveled}\\\implies 5 \pi d & = \sf 37.94\: ft\\d & = \sf \dfrac{37.94}{5 \pi}\\d & = \sf 2.415335416... \:ft \end{aligned}[/tex]

As 1 foot = 12 inches, multiply the found diameter in feet by 12 to calculate the diameter in inches:

[tex]\begin{aligned}d & =2.415335416... \times 12\\\implies d & = \sf 28.98\:\:in\:(2\:d.p.)\end{aligned}[/tex]

Therefore, the diameter of the wheel is 28.98 in (2 d.p.).

Answer:

Jillene will spend $345.60 in 6 months.

Step-by-step explanation:

To find the answer we will turn 24% into a decimal.  24% ÷ 100 = 0.24.  Now multiply 0.24 by $240 and we get $57.60.  Because we are trying to find how much Jillene will spend in 6 months, we will multiply $57.60 by 6, which is $345.60.  Therefore, $345.60 is our answer.

Answer: $1785.60

Step-by-step explanation:

240 x 6 = 1440

240 x 0.24 = 57.6

57.6 x 6 = 345.6

1440 + 345.6 = 1785.60

Final Answer: $1785.60

Answer: [tex]y=-\frac{3}{2}x+12[/tex]

Step-by-step explanation:

To find the equation of line B, we need to find the slope first, then the y-intercept. We first want to convert line A into slope-intercept form, so we can find the slope.

[tex]3x+2y=10[/tex]            [subtract both sides by 3x]

[tex]2y=10-3x[/tex]            [divide both sides by 2]

[tex]y=5-\frac{3}{2}x[/tex]

With the slope-intercept form of line A, we can see that the slope is [tex]-\frac{3}{2}[/tex]. We take the slope and the given point (4,6) to find the y-intercept of line B.

[tex]y=-\frac{3}{2}x+b[/tex]            [plug in (4,6)]

[tex]6=-\frac{3}{2}(4)+b[/tex]         [multiply]

[tex]6=-6+b[/tex]              [add both sides by 6]

[tex]b=12[/tex]

With the y-intercept, we know the equation for line B is [tex]y=-\frac{3}{2}x+12[/tex].

Answer:

[tex]<ADB=9[/tex]×[tex]5+4[/tex][tex]=49[/tex]

Step-by-step explanation:

[tex]<(13x-16)=<(9n+4)\\\\13x-9x=4+16\\\\4x=20\\\\x=\frac{20}{4} \\\\x=5\\\\<ADB=9*5+4=49[/tex]

hope it helps....

Answer:

Step-by-step explanation:

We have solution:

Add up these two equations:

Find c:

The original equation is:

Pythagorean Theorem

Step-by-step explanation:

a squared time b squared plus c squared I think

Answer:

3ft

Step-by-step explanation:

c^2 = a^2 + b^2 so, we have c = 5ft, and  lets call this one a = 4ft

so: x^2 = 5^2 - 4^2 => x = sqrt(25 - 16) => x = 3ft

Answer:

D 18

Step-by-step explanation:

Answer:

The answer I think would be 8.

Step-by-step explanation:

Answer:

it will take around 4.5 weeks

Step-by-step explanation:

614 divided by 134 will give you 4.582

Answer:

4.6 weeks

Step-by-step explanation:

In the question, it stated that the plant grows at the rate of 134 inches per week. And we can get the proportion:

[tex]\frac{1 week}{134 inches}[/tex]

Now, if you want to get the number of weeks it takes to grow 614 inches, set up the proportion

[tex]\frac{x }{614 inches}[/tex]

with x representing the number of weeks we are trying to find.

Since the two fractions are proprtional - we assume that the plant will always grow at the same rate, then we can state:

[tex]\frac{x }{614 inches}[/tex] = [tex]\frac{1 week}{134 inches}[/tex]

Now, cross multiply and simplify:

134x = 614

x = 614/134

x = 4.6 (Weeks)

Answer:

it's either b or d.

Step-by-step explanation:

I'm not entirely sure, but its one of those.

Answer:

$6.90

Step-by-step explanation:

23/100 X 30 = $6.90

Answer:

2/3  is the probability that Sandra will not make the team.

Hope it helps!!!

Answer:

2/3

Step-by-step explanation:

If something will happen with 100% certainty, then the probability is 1 or 100%.

If she has a 1/3 chance of making the team, the the chance of not making the team is 1 - 1/3 which equals 2/3.

Answer: 2/3

Answer:

15 -2

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

5x1=5

Answer:

450 cm^3

Step-by-step explanation:

( 1/2 (5+7.5) 6 ) 12

Answer:

11/4

Step-by-step explanation:

Answer:

40 twenties and 85 tens

Step-by-step explanation:

10x+20y=1650

10x+10y=1250

10y=400

y=40

Answer:

The triangles are not similar

Step-by-step explanation:

Answer:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

please amrk this answer as brainliest

Answer:

4.5 feet

Step-by-step explanation:

One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:

Answer:

y = 4x-2

Step-by-step explanation:

y = mx+b

y = 4x+b

y = 4x-2

Answer: 8:10, 7:54, 26 minutes

Step-by-step explanation:

a) Go to the row labeled Church Street, start in the column with time 7:59, read down until you get to the row labeled Bus Station.

b) Go to the High Street row. The latest arrival time that is still before 8:30 is 8:10. Starting in the column with 8:10, read UP to the Hope Street row. The bus leaves there at 7:54

c) Pick any column in the row for School Road. In that column, read down to the Bus Station row. The difference between the two times is 26 minutes no matter which column is selected.

Answer:

natural resource department does not receive a 4 star rating

Step-by-step explanation:

The type I error is also known as the 'false positive'.

It means we means we reject or make an error while the condition or the result is actually true. In other words, we can say that we are rejecting the null hypothesis but the hypothesis is actually true in all populations.

A 'false negative' is considered a type II error.

in the context, the hypothesis is concentration of fluoride in water which should be less than 4%. This is true but the department does not a 4 star rating when the concentration is less than 4% on the water supply. So this is the type I error.

Answer:

y = -1/3x - 7/3

Step-by-step explanation:

To find the slope, you have to plug the values into the slope formula.

y2 - y1/ x2 - x1

-4 - (-2) / 5 - (-1)

-1/3

Now to find the y-intercept, plug in one of the coordinates into the equation.

y = -1/3x + b

-2 = -1/3(-1) +b

-2 = 1/3 + b

-7/3 = b

The equation is y = -1/3x - 7/3.  

The Solution is Y = - ( 1 / 3 )X - 7 / 3 where points are ( 5 , - 4) and ( - 1 , - 2) that passes through a straight line. Y = MX + C is the Formula for Straight line equation.

As per given problem, M is Slope

M = (Y2 - Y1) / (X2 - X1)

M = (- 4 - (- 2)) / ( 5 - (- 1))

M = - (1 / 3)

Now, Line becomes

- 2 = - ( 1 / 3) x (- 1)+ C

- 2 = 1 / 3 + C

C = - (7 / 3)

So, Solution:  Y = - (1 / 3)X - (7 / 3)

To know more about Straight Line Problems, refer to the below link

brainly.com/question/1617520

Answer:

$448.76

$73.76

Step-by-step explanation:

We are to calculate the future value with monthly compounding

The formula for calculating future value:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate

m = number of compounding

N = number of years  

$375 x ( 1 + 0.06/12)^12 x 3

$375 x (1.005)^36 = $448.76

Interest earned = future value - amount saved

$448.76 -  $375  = $73.76

Answer:

-x

Step-by-step explanation:

Answer:

33.1in³

Step-by-step explanation:

Volume of the square based pyramid = BH/3

B is the base area

H is the height

Base area = L²

Base area = 4.7²

Base area = 22.09 square inches

Height = 4.5in

Get the volume

Volume of the pyramid = 22.09*4.5/3

Volume of the pyramid = 22.09 * 1.5

Volume of the pyramid = 33.135in³

Hence the volume of the square based pyramid to the nearest tenth of a cubic inch is 33.1in³