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vaieri [72.5K]
3 years ago
11

What is 2 2/3×3 1/4 as a fraction form

Mathematics
1 answer:
fgiga [73]3 years ago
8 0
The fraction form is 26/3 or 8 2/3
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Annabelle the ant and Archibald the ant are on a large coordinate grid. Annabelle is at (3,4) and Archibald is at (33,44). If bo
kvasek [131]

<u>Part a)</u> If both ants skate directly towards each other, starting at the same time and skating the same speed, what will be the coordinates of their meeting place?

Let

A(3,4)  B(33.44)

we know that

If both ants skate directly towards each other, starting at the same time and skating the same speed

then

the coordinates of their meeting place is the midpoint AB

<u>Find the midpoint AB</u>

in the x-coordinate

(3+33)/2=18

in the y-coordinate

(4+44)/2=24

the midpoint AB is (18,24)

therefore

<u>the answer Part a) is </u>

the coordinates of their meeting place is (18,24)

<u>Part b)</u> How far will each ant skate?

<u>Find the distance AB</u>

d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}

substitute the values

dAB=\sqrt{(33-3)^{2}+(44-4)^{2}}

dAB=\sqrt{2,500} units

dAB=50 units

<u>Find the half distance AB</u>

50/2=25 units

therefore

<u>the answer part b) is</u>

Each ant will skate 25 units

7 0
3 years ago
Square root of x-5 +7=11
Nitella [24]

x=21 when you make it a square root> your welcome

7 0
3 years ago
Rewrite the following as a decimal<br> -5 1/11
Maru [420]

Answer:

-5.09

Step-by-step explanation:

Convert 5 1/11 to an improper fraction.

Exact Form:

-56/11

Decimal Form:

-5.09

Mixed Number Form:

-5 1/11

3 0
3 years ago
Find the length of the third side. If necessary, write in simplest radical form.<br> 10<br> 7
oksian1 [2.3K]

Answer:

\sqrt{51}

Step-by-step explanation:

10²-7² (C squared minus B squared equals A squared) (basically Pythagorean theorem but reversed)

100-49= 51 (square the numbers and subtract)

\sqrt{51}  

6 0
3 years ago
The football coach is overseeing the installation of new goal posts on the football field. He is wondering if the goal posts are
Westkost [7]

Answer:

Correct option is D. No, since the ratios of the corresponding sides are not proportional.

Step-by-step explanation:

Please refer to the attached figure

Let height of coach represents by AB = 6 feet

And shadow of coach represents by BC = 4 feet

Let height of goal post represents by DE = x feet

And Shadow of goal post represents by EF = 12 feet.

Since measurement of shadows are at same time. therefore  ratio of height of coach and height of goal post  must be same as ratio of shadow of coach and shadow of goal post.

⇒ 6/x = 4/12

⇒x = 72/4 = 18 feet

So goal post is not at regular height , since expected height is 20 feet while actual height is 18 feet . And if we consider value of x as 20 feet instead of 18 feet , ratio of corresponding sides will not match.

Hence correct answer is D. No, since the ratios of the corresponding sides are not proportional.

8 0
3 years ago
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