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2 years ago

What is the sum of 5 feet 9 inches and 12 feet 3 inches

Mathematics

2 answers:

OlgaM077 [116]2 years ago

8 0

The answer is 18 feet.

mestny [16]2 years ago

6 0

5 ft + 12 ft = 17 ft

9 in + 3 in = 12 in = 1 ft 

17 ft + 1 ft = 18 ft
hope this helps

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Plot the following points to create a rectangle.

Tanya [424]

Answer:

(5, -1)

Step-by-step explanation:

The three coordinates of a triangle are given as:

(5,3), (-5,3), (-5,-1).

To find:

The missing vertex = ?

Solution:

Let us label the vertices:

A (5,3),

B(-5,3),

C(-5,-1).

Let the missing vertex be ( $x, y$ ).

Let us recall the properties of a rectangle.

The opposite sides of the rectangle are equal and parallel to each other.

Let us consider the side AB, we can see that only x coordinate is changed from A to B.

Let us consider the side BC, we can see that only y coordinate is changed from B to C.

A and B are adjacent vertices.

Similarly the opposite vertices will be C and D.

Same pattern will be followed in CD as that of AB.

x coordinate will be changed by same difference as that of AB.

Change in x coordinate from D to C = $-5-x$

Change in x coordinate from A to B = $-5-5 =-10$

Equating them:

$-5-x=-10\\\Rightarrow x = 5$

Same pattern is followed in BC and AD.

Their change in y coordinate will be same.

$-1-3=y-3\\\Rightarrow y =-1$

Missing vertex is (5, -1).

Please refer to the attached image for the rectangle.

3 0

3 years ago

The value of U.S exports to China increased from $1480 million in 2011 to $2768 million

aliya0001 [1]

The percentage of increase was 87.027... %

Explanation

The value of U.S exports to China increased from $1480 million to $2768 million.

Suppose, the percentage of increase is $x\%$

So, the amount of increase = $x\%$ of 1480 $=1480*\frac{x}{100}=14.8x$

Thus, the equation will be......

$14.8x= 2768-1480\\ \\ 14.8x=1288\\ \\ x= \frac{1288}{14.8}=87.027....$

So, the percentage of increase was 87.027... %

7 0

3 years ago

Factor completely 5ax2 − 20x3 + 2a − 8x.

Viefleur [7K]

Answer:

Step-by-step explanation:

5ax²-20x³+2a-8x

=5 x²(a-4x)+2(a-4x)

=(a-4x)(5x²+2)

3 0

2 years ago

Read 2 more answers

A contractor is required by a county planning department to submit one, two, three, four, five, or six forms (depending on the n

Ratling [72]

Answer:

$k = \dfrac{1}{21}$

b) 0.476

c) 0.667

Step-by-step explanation:

We are given the following in the question:

Y = the number of forms required of the next applicant.

Y: 1, 2, 3, 4, 5, 6

The probability is given by:

$P(y) = ky$

a) Property of discrete probability distribution:

$\displaystyle\sum P(y_i) = 1\\\\\Rightarrow k(1+2+3+4+5+6) = 1\\\\\Rightarrow k(21) = 1\\\\\Rightarrow k = \dfrac{1}{21}$

b) at most four forms are required

$P(y \leq 4) = \displaystyle\sum^{y=4}_{y=1}P(y_i)\\\\P(y \leq 4) = \dfrac{1}{21}(1+2+3+4) = \dfrac{10}{21} = 0.476$

c) probability that between two and five forms (inclusive) are required

$P(2\leq y \leq 5) = \displaystyle\sum^{y=5}_{y=2}P(y_i)\\\\P(2\leq y \leq 5) = \dfrac{1}{21}(2+3+4+5) = \dfrac{14}{21} = 0.667$

8 0

3 years ago

Yoda soda is the intergalacatic party drink .You are throwing a party and you need 5 liters of Yoda soda for 12 guest. If you ha

aksik [14]

Answer:

15 liters

Step-by-step explanation:

Given:

We need 5 liters of Yoda soda for 12 guest.

To find:

If we have 36 guest how many liters of Yoda soda we need.

Solution:

By unitary method:

For 12 guests, we need liters of Yoda soda = 5

For 1 guest, we need liters of Yoda soda = $\frac{5}{12}$

For 36 guests, we need liters of Yoda soda = $\frac{5}{12}\times36=\frac{180}{12} =15\ liters$

Therefore, we need 15 liters of Yoda soda for 36 guests.

7 0

2 years ago