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brilliants [131]
3 years ago
15

10 POINTS!!!! Fast!!! Nick has designed a diamond-shaped kite as shown below. The measures of some sides of the kite are marked

in the figure. Find the value of x. (JUSTIFY)
Show your work.. thanks

Mathematics
1 answer:
choli [55]3 years ago
5 0

Answer: 3.5 in

Step-by-step explanation

∡DOC=90°

DC=7

OC=5

Using Pytagora equation:

DO=√DC²-OC²

DO=√49-25

DO=2√6

Use Equation for area of triangle:

area of ΔDOC=a*Ha/2

DC=a=7

Ha=x---hight of ΔDOC

Area of ΔDOC=DO*OC/2

2√6*5/2=5√6

5√6=7*x/2

10√6=7*x

x=10/7√6

x=24.5/7

X=3.5 in

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& A bowl made in the shape of a hemisphere has diameter of 12 centimeters. When the bowl is
son4ous [18]

Answer:

3

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 3.14

r = radius = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(2/3) X (6^3) X 3.14 = 452.16 cm^3

1 cm = 1 gram

452.16g

 

6 0
3 years ago
The Vega family has a three yourself own contract mark Vegas is the family gets a total of 3×10 to the fourth minutes of talk ti
Over [174]
120 minutes of talk time and share
4 0
4 years ago
Read 2 more answers
Convert the mixed number to an improper fraction. enter your answer below using the slash mark ( / ) as the fraction bar
eduard
The Answer Fam Is 99/10
5 0
4 years ago
The data table represents the distance between a well-known lighthouse and a cruise ship over time. The cruise ship is travellin
Trava [24]
Find the velocity first, the "slope".

m=(y2-y1)/(x2-x1)

m=(95.5-53)/(4-2)

m=21.25  ?  Your equations are wrong, I'll double check with another set of points...

m=(350.5-308)/(16-14)

m=21.25  LOL, yep none of your lines has the correct slope.

Anyway...

y=21.25x+b, using any point we can solve for the y-intercept, or "b", (2, 53)

53=21.25(2)+b

53=42.5+b

10.5=b so the distance to the lighthouse as a function of time is:

y=21.25x+10.5

So essentially, you should fire your teacher or burn that book you are using :)

6 0
4 years ago
Read 2 more answers
If y/5+8=7, what is the value of y/5-2
Andrei [34K]
"<span>y/5+8=7, what is the value of y/5-2?"  Simplify the first equation:  
 
y/5 = 7 - 8, or -1, so y/5 = -1, or y = -5.

Then y/5 - 2 equals -5/5 - 2, or -3.</span>
4 0
3 years ago
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