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3 years ago

An artist is making a mosaic using glass

Mathematics

2 answers:

Rudik [331]3 years ago

8 0

Answer:

200

the ratio is 1:2 i thought about how i could get a solution then i realized i could split the 600 in too three parts to match the ratios different aspects and walla i got 200

Ede4ka [16]3 years ago

8 0

Answer:

200 red tiles

Step-by-step explanation:

basically just 600 divided by 3 equals 200

Hope this helps, i did this a few days ago lol

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Find the length of AB

aniked [119]

FIRST QUESTION
Given points are:
A(2, -4) and B(6, 2)
Now, Use the distance formula.
distance formula = $\sqrt{ (x_{2}- x_{1})^{2} + ( y_{2} - y_{1} )^{2} }$

Now, plug the values into the formula, So,
distance = $\sqrt{ (6- 2)^{2} + ( 2 - (-4))^{2} }$

= $\sqrt{ (6- 2)^{2} + ( 2 +4))^{2} }$

= $\sqrt{ (4)^{2} + ( 6))^{2} }$

= $\sqrt{ 16+36}$

= $\sqrt{52}$

= $2 \sqrt{13}$

So, the length of AB is $2 \sqrt{13}$ .

THIRD QUESTION
Two points given are:
A(3, -2) and B(1, 1)
Also given that B is the midpoint of AC.

Let, the co-ordinates of C be C(a, b).
Now, using midpoint formula,
Midpoint = $(\frac{ x_{1}+ x_{2} }{2} , \frac{ y_{1}+ y_{2} }{2} )$

$(1, 1)=(\frac{ 3+ a }{2} , \frac{ -2+b }{2} )$

Now, equaling the ordered pair, we have,

$1=\frac{ 3+ a }{2}$ .............equation (1)

$1=\frac{ -2+b }{2}$ ................equation (2)

Now, taking equation (1)
$1=\frac{ 3+ a }{2}$

$1*2=3+a$

$2-3=a$

$a=-1$

Now, taking equation (2)
$1=\frac{ -2+b }{2}$

$1*2=-2+b$

$2+2=b$

$b=4$

So, the co ordinates of C are (a, b) which is (-1 , 4)


SECOND QUESTION:
Given equations are:
2x + 3y = 14.....................equation (1)
-4x + 2y = 4 .....................equation (2)
Taking equation (2)
-4x + 2y = 4
2y = 4 + 4x
y = (4 + 4x) / 2
y = 2 + 2x .......................equation (3)
Now, Taking equation (1)
2x + 3y = 14
Substituting the value of y from equation (3), we get,
2x + 3(2 + 2x) = 14
2x + 6 + 6x = 14
8x = 14 - 6
x = (14 - 6) / 8
x = 1

Taking equation (3)
y = 2 + 2x
Now, substituting the value of x in equation (3), we get,
y= 2 + 2 (1)
y = 2 + 2
y = 4

So, x=1 and y=4

6 0

3 years ago

The dimensions of a big dog house are 2 1/2 the dimensions of a small dog house. If the width of the small doghouse is 2 feet, w

Alchen [17]

The width of the big dog house is 2.5 times the small dog house.
multiply 2 by 2.5 to get your answer. hope this helps :)

6 0

4 years ago

If sec0+tan0=p,then find the value of cosec0.

Ugo [173]

Answer:

Step-by-step explanation:

p=sec0+tan0

=1/cos0 + sin0/cos0

=(1+sin0)/cos0

square both sides

(1+sin)^2 /cos^2 = p^2

(1+sin)^2/(1 - sin^2 ) = p^2

(1+sin)^2/((1-sin)(1+sin)) = p^2

(1+sin)/(1-sin)=p^2

1+sin=p^2-p^sin

sin+p^2sin=p^2-1

sin(1+p^2)=(p^2-1)

sin=(1-p^2)/(1+p^2)

cosec=1/sin

=(1+p^2)/(1-p^2)

6 0

3 years ago

3 squares = 27 feet How many feet represent 1 square?

Wittaler [7]

Answer:9

Step-by-step explanation:

27 divided by 3

3 0

3 years ago

Read 2 more answers

Can someone help me answe this last quiz thank you

nlexa [21]

Answer:

225

Step-by-step explanation:

5^2 * 3^2

(5 * 5) * (3 * 3)

25 * 9

225

6 0

3 years ago

Read 2 more answers