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V125BC [204]
3 years ago
15

Fill in the missing number or pattern

Mathematics
1 answer:
jasenka [17]3 years ago
8 0

Answer:

1. 12,14 2. 50, 54 3. 68, 50

Step-by-step explanation:

1. +2

2. +4

3. -6

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Find the value of x and the value of y.
Elan Coil [88]

Answer:

Step-by-step explanation:

According to the diagram ,

Hypotenuse = 10√3

Opposite = x

Adjacent = y

α = 60

Using SOHCAHTOA ,

Sin α = opp / hyp

Sin 60= x/10√3

√3/2= x/10√3

x = 15

Pythagoras theorem ;

Hypotenuse ^2 = Opposite ^2 +Adjacent ^2

10√3 ^2 = 15^2+ y^2

300 = 225 +y ^2

300 -225 = y^2

75 = y^2

y = √75y

y = 5√3

5 0
3 years ago
Can someone pls pls pls help me with this ?
Yakvenalex [24]

Answer:

i have

Step-by-step explanation:

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8 0
3 years ago
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How do i find the derivative of<br><img src="https://tex.z-dn.net/?f=9%20%5Cdiv%20%20%5Csqrt%7Bx%7D%20" id="TexFormula1" title="
Alekssandra [29.7K]
Possible derivation:
d/dx(3)
The derivative of 3 is zero:
Answer: = 0
4 0
4 years ago
A city planner designs a park that is a quadrilateral with vertices at J(-3,1), K(1,3), L(5,-1), and M(-1,-3). There is an entra
Ksivusya [100]
The Quadrilateral is JKLM, 

let M_{JK}, M_{KL}, M_{LM}, M_{JM}, be the midpoints of JK, KL, LM and JM respectively.

---------------------------------------------------------------------------------------------------------

Given any 2 point P(m,n) and Q(k,l),<span>

the coordinates of the midpoint of the line segment PQ are given by the formula:

M_{PQ}=( \frac{m+k}{2} ,&#10;\frac{n+l}{2}), </span>

-------------------------------------------------------------------------------------------------

thus the coordinates of points M_{JK}, M_{KL}, M_{LM}, M_{JM},

are as follows:

M_{JK}= (\frac{-3+1}{2}, \frac{1+3}{2})=(-1,2), \\\\M_{KL}= (\frac{1+5}{2}, \frac{3-1}{2}=(3,1), \\\\M_{LM}= (\frac{5-1}{2}, \frac{-1-3}{2})=(2, -2),\\\\ M_{JM}= (\frac{-3-1}{2}, \frac{1-3}{2})=(-2,-1)


------------------------------------------------------------------------------------------------

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:<span>

 |PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}&#10;}</span>

------------------------------------------------------------------------------------------------

thus the distances connecting the opposite entrances can be calculated as follows:


|M_{JK},M_{LM}|= \sqrt{ (-1-2)^{2} + (2-(-2))^{2} }= \sqrt{9+16}=5

|M_{KL}M_{JM}|= \sqrt{ (3-(-2))^{2} + (1-(-1))^{2}}= \sqrt{25+4}= \sqrt{29}=5.39


Thus the total distance of the paths joining the opposite entrances is 

5+5.39 units = 50 m + 53.9 m = 104 m (rounded to the nearest meter)


Answer: 104 m



8 0
3 years ago
List price List price: Divide 7434 items between four people, A,B,C and D in the proportions: 3:6:8:4. How many items do B and D
Dafna1 [17]

Answer:

B  2124

D 1416

Step-by-step explanation:

Take the ratio

A    B    C      D      Total

3     6     8    4         21            (3+6+8+4 = 21)

B gets 6 out of every 21 items

Take that fraction times the total items

6/21 * 7434 = 2124

D gets 4 out of every 21 items

Take that fraction times the total items

4/21 * 7434 = 1416

3 0
4 years ago
Read 2 more answers
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