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Alchen [17]
3 years ago
9

John runs the 400 meter dash in 50.1 seconds, what is his average speed in meters per second?

Mathematics
1 answer:
STatiana [176]3 years ago
3 0

Answer:7.98403194 m / s

and i dont know how to work it out because I did it in my head

Step-by-step explanation:

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What is the approximate area of the shaded portion of the diagram? (Use 3.14 as an estimate for pi.)
Nadusha1986 [10]

Answer:

218

Step-by-step explanation:

first find the area of the circle-

A=\pi r^{2} \\A=\pi 10^{2} \\A=100\pi \\A=314

to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).

a^{2} +b^{2} =c^{2} \\a^{2} +16^{2} =20^{2} \\a^{2} +256=400\\a^{2} =144\\a=12

Now I know the height is 12. Find the area of the triangle

A=\frac{1}{2} bh\\A=\frac{1}{2} (16)(20)\\A=96

subtract the area of the triangle from the area of the circle

314-96=218

6 0
3 years ago
B. Using your answer in letter a or write the equation of the line in the form Ax + By = C
Svetradugi [14.3K]

Answer:

Step-by-step explanation:

(1, 5.5) ; (2, 9)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\

         = \frac{9-5.5}{2-1}\\\\=\frac{3.5}{1}\\\\= 3.5

         = 7/2

m = 7/2 ; (2 , 9)

y - y1 =m(x -x1)

y - 9 = \frac{7}{2}(x- 2)\\\\y - 9 = \frac{7}{2}x - \frac{7}{2}*2\\\\y -9 = \frac{7}{2}x - 7\\\\y = \frac{7}{2}x - 7 + 9\\\\y = \frac{7}{2}x + 2

Multiply the equation  by 2

2y = 2*\frac{7}{2}x + 2 *2\\\\2y = 7x + 4\\\\7x - 2y = -4\\

         

4 0
3 years ago
Tickets for a school play sold for $7.50 for each adult and $3.00 for each child. The total receipts for 118 tickets totaled $69
NeX [460]
X= number of adult tickets
y=number of child tickets.
we can suggest this system of equations: 
x+y=118                 ⇒x=118-y
7.5x+3y=696

we can solve this system of equations by substitution method:
7.5(118-y)+3y=696
885-7.5y+3y=696
-4.5y=-189
y=-189/-4.5
y=42

x=118-y
x=118-42
x=76

Answer: the number of adult tickets sold was 76. 
7 0
3 years ago
2/9 divided by 4 what is the answer
Brrunno [24]
2/9 ÷ 4/1 (keep,change,flip) is 1/18.
3 0
3 years ago
Which list could not be the measures of lengths of the three sides of a given triangle?
liubo4ka [24]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
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