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Michelle is an architect who builds skyscrapers. She has a sheet of measurements that she needs convert before she can begin her next project. One wall is 12 ⅜ ft long and has a width of 19.73 ft. Change the given mixed number to a decimal. Circle the correct response.
A 12.3 ft
B 12.375 ft
C 12.38 ft
D 12.83 ft

Answer:

Circumference of the circle 2π(radius)=6π ft

Therefore, radius=3 ft

Area=π(radius)²=π×3²=9π ft²

9π ft² is the right answer.

The area of circle is 9π square feet.

Area is the amount of area occupied by an object's flat (2-D) surface or shape.

The circumference of circle = 2πr

6 = 2πr

r = 3π

And the area of circle is πr².

The area of the circle = 9π

Therefore, the area of the circle is 9π square feet.

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Answer:

Gallons of punch used = 4.94 gallons

Step-by-step explanation:

Given that:

Liters of punch purchased = 25 liters

Liters of punch left over = 6 liters

Liters of punch used = 25 - 6 = 19 liters

According to the given statement;

1 liter = 0.26 gallons

19 liters = 0.26*19 gallons

19 liters = 4.94 gallons

Hence,

Gallons of punch used = 4.94 gallons

Answer:

1 pound of bananas is 0.89

Step-by-step explanation:

Money over quantity 4.45/5

that means you divide so heres the layout

4.45/5 = x/1 so that is

5x=4.45 divide 5 so that gives us our variable 5÷5 that cancels out five 4.45 divide by 5 is 0.89

so for every pound of bananas is 0.89

And you would use Unite Rate as your strategy

Answer:

for 1 pound of banana...it is 0.89

Step-by-step explanation:

for 5 pound=4.45

for 1 pound =?(x)

5x=4.45×1

x=4.45/5

x=0.89

Answer:

Pie charts can generally be used instead of bar graphs

Step-by-step explanation:

A pie chart can be used instead of a bar chart. A pie chart is an alternative to the bar chart. Both of these can be regarded as data visualization tools. The pie chart shoes us generally how several parts makes up a whole. While the bar chart uses rectangular bars to show us the proportion of each of the categories of data

The statement which is true among the given group of options is; Pie charts can generally be used instead of bar charts.

Pie charts can be used as substitutes for bar charts. This stemmed from.the fact that both tools are data visualization tools.

On this note, pie charts can be used to replace the bar charts even though pie charts entails dividing the 360° angle in a circle in respective ratios.

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Answer:

0.430

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

9514 1404 393

Answer:

  -3/2

Step-by-step explanation:

The line crosses grid intersections at (-1, 2), (1, -1) and (3, -4). These points are separated by 2 units horizontally and 3 units vertically.

The rise (vertical change) is -3 for each run (horizontal change) of +2, so the ratio rise/run is -3/2. That is the slope of the line: -3/2.

Answer:

c. 3/5

Step-by-step explanation:

With reference angle A

perpendicular (p) = 3

hypotenuse (h) = 5

Now

Sin A =

[tex] \frac{p}{h} \\ = \frac{3}{5} [/tex]

Hope it will help :)

Answer:

The answer is 5/4

Step-by-step explanation:

Answer:

the mean weight is 22 tonnes

Step-by-step explanation:

mean=total sum/number of numbers you added

in this case the question already gave you the total so just divide right away

mean weight= 330/15 = 22 tonnes

Answer:

49/11 I think I'm not sure

Answer:

Part A = A

Part B = C

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

17/15-4/5

17/15-4*3/5*3

17/15-12/15

17-12/15

5/15

1/3

The equivalent value of the fraction is A = 1/3

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be p

Let the second fraction be q

Now , A = p - q

when the value of p = 17/15

And , when the value of q = 4/5

On simplifying the equation , we get

A = 17/15 - 4/5

So , the left hand side of the equation is equated to the right hand side by the value of ( 17/15 - 4/5 )

A = ( 17/15 - 4/5 )

Taking the LCM of the denominators of the fraction , we get

A = ( 17 - 12 ) / 15

On simplifying , we get

A = 5/15

A = 1/3

Therefore , the value of A = 1/3

Hence , the fraction is A = 1/3

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Answer:

8 × 6.98

Step-by-step explanation:

..............

Answer:

= 56.7 miles per hour

Step-by-step explanation:

Step-by-step explanation:

To find the average speed for the entire journey, we need to find the entire distance   and the  total time

Entire distance = 210 miles + 130 miles = 340 miles

Total time = 3.5 hours and 2.5 hours = 6 hours

Average speed = distance/ time = 340 miles/ 6 hours

                           = 56.66666666666 miles per hour

Rounding to the nearest tenth

                             = 56.7 miles per hour

Answer:

60 miles

Step-by-step explanation:

210=3.5

x =1

3.5×x= 210×1

3.5x=210

3.5x/3.5=210/3.5

x=60

Answer= 60 miles

Answer:

672

Step-by-step explanation:

(1/2×16×12)×2 + (10×12) + (10×16) + (20×10)

The total surface area of the figure is S = 672 cm²

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

Let the area of the 2 triangles be T

Let the area of the 2 rectangles be R

Let the area of the third side be U

Now , the total surface area of the prism = T + R + U

where T = 2 x ( 1/2 ) ( 16 x 12 )

T = 192 cm²

R = ( 16 x 10 ) + ( 12 x 10 )

R = 280 cm²

And , U = 20 x 10

U = 200 cm²

Therefore , the total surface area of prism S = 192 cm² + 280 cm² + 200 cm²

S = 672 cm²

Hence , the surface area of prism is S = 672 cm²

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Answer:

1st one is 16.

2nd one is 5.  

Step-by-step explanation:

Multiply 4x4 and you get 16.

Multiply 5x1 and you get 5.

Please give brainlest.

Answer:

0

Step-by-step explanation:

0

Answer:

$4

Step-by-step explanation:

40/10 = 4

Answer:

A. 0 and 4

Step-by-step explanation:

The x-intercepts are simply the values of x when y = 0. In other words it is the points where the line curve intercepts or cuts across the x-axis.

Form the graph given, we can see that at x = 0 and x = 4, the value of y = 0. Simply put, the curve cuts the x-axis at x = 0 and x = 4.

x-intercepts are 0 and 4.

Answer:

The shadow is 3 ft tall

Step-by-step explanation:

The older giraffe is 16 ft tall and 8 is half of 16 and 8ft is the length of the shadow so that means that half of the small girafe would be 3ft because half of 6 is 3.

Sorry if its not correct

Answer:

True

Step-by-step explanation:

Suppose a system contains a large number of variables than equations, then there is a need to make assumptions of some values for the extra variables in order to solve the system. So, the assigning of these values can be done in several ways. Thus, the system cannot contain a unique solution.

Also, for a system of the linear equation:

[tex]AX = B[/tex]  can have a unique solution if:

Augmented matrix(rank) = coefficient matrix(rank) = no. of variables.

Provided that there exist fewer equations and more variables,

Then;

coefficient matrix(rank) <  no. of variables

Thus, the system cannot contain a unique solution.

Answer:

Betty is right???

Step-by-step explanation:

Answer:

The area of given rectangle is 5/18 square feet.

Step-by-step explanation:

Let l be the length of rectangle and w be the width of the rectangle.

Given information is:

Length = l = 5/12 foot

Width = w = 2/3 foot

The area of a rectangle is given by the formula

[tex]Area = Length*Width\\A = l*w[/tex]

Putting the values for width and length

[tex]A = \frac{5}{12} * \frac{2}{3}\\= \frac{10}{36}\\=\frac{5}{18}[/tex]

The area is 5/18 square feet.

Hence,

The area of given rectangle is 5/18 square feet.

Answer:

The 95% confidence interval for the population mean is between $140.89 and $159.11.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{36}{\sqrt{150}} = 9.11[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 150 - 9.11 = $140.89

The upper end of the interval is the sample mean added to M. So it is 150 + 9.11 = $159.11

The 95% confidence interval for the population mean is between $140.89 and $159.11.

Answer:

The area of the yard is 4.34.

Step-by-step explanation:

a = l x w

a = 3.1 x 1.4

a = 4.34

A point has no length or thickness.

ALL OF THE ABOVE

Answer:

The first one is correct

Step-by-step explanation:

hope it helps ^^

Answer:

Graph C

Is the correct.

MARK BRAINLIEST (RELOAD AND CLICK THE CROWN)

Answer:

115°

Step-by-step explanation:

its in the middle of 60° and 70°

Answer:

=1

Step-by-step explanation:

multiply the numerator and denominator by common integer