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Gekata [30.6K]
3 years ago
15

Lee's family had a garden in the shape of a right triangle. the total area of the garden is 16 square feet. if they expand the g

arden to form a triangle with twice the base and twice the height, by how much will they increase the size of their garden? 16 square feet 32 square feet 48 square feet 64 square feet\
Mathematics
1 answer:
lana [24]3 years ago
5 0
Area of right-angled triangle  is given by;

Area, A = 1/2 *b*h, Where b=base, h=height

Therefore,

A1 = 1/2bh = 16 in^2
A2 = 1/2 (2b)(2h) = 2bh

Ratio of increase = A2/A1 = {2bh}/(1/2bh} = 4 (the area is increased 4 times)
The,
A2 = 4*16 = 64 in^2
Therefore,
The area is increased by (64-16) = 48 in^2
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The graph below shows the numbers of cups of apple juice that are mixed with different numbers of cups of lemon-lime soda to mak
Misha Larkins [42]
The ratio of the number of cups of apple juice to lemon-lime soda is 6:1.

If there is a point on the graph at (1, 6), where the x-coordinate the number of cups of lemon-lime soda and y-coordinate is the number of cups of apple juice, you can deduce the ratio (6 cups of apple juice for 1 cup of lemon-lime soda). 

As you imagine on the graph, this pattern continues, with 2 cups of lemon-lime soda for 12 cups of apple juice, that simplifies to 1 cup of lemon-lime soda for 6 cups of apple juice. Since the question asks for the ratio of apple juice to lemon-lime soda, you just reverse the values and get 6:1
7 0
3 years ago
Read 2 more answers
Compare the following functions: f(x) = 3 sin(x − π) + 4 g(x) graph of a quadratic with points at 1, 5 and 3, 1 and 5, 5 h(x) x
riadik2000 [5.3K]

Answer:

All three functions have the same minimum

Step-by-step explanation:

6 0
3 years ago
An irregular polygon has its external angles as 28°,40°,120°,142° and x. Find the value of x
zalisa [80]

Answer:

X=30

Step-by-step explanation:

The whole polygon is 360 degrees so:

360-28-40-120-142=X, which is 30

5 0
3 years ago
Three vertices of parallelogram WZXY are W(-5, 2), X(2, 4) and Z(-7, -3). Find the coordinated of the vertex, Y.
Dominik [7]

Answer:

Y = (4,9)

Step-by-step explanation:

Given

W(x_1,y_1) = (-5, 2)

Z(x_4,y_4) = (-7, -3)

X(x_2,y_2) = (2, 4)

Required

Find Y

To do this, we make use of the mid-point formula

i.e.

M = \frac{1}{2}(x_n+x_m,y_n+y_m})

WX and ZY are the diagonals of the parallelogram.

The mid-point of WX is:

M = \frac{1}{2}(-5+2,2+4)

M = \frac{1}{2}(-3,6)

The mid-point of ZY is:

M = \frac{1}{2}(-7+x,-3+y)

Equate both values of M

\frac{1}{2}(-3,6) = \frac{1}{2}(-7+x,-3+y)

Multiply both sides by 2

(-3,6) = (-7+x,-3+y)

By comparison:

-7 + x = -3

-3 + y = 6

-7 + x = -3

x = 7 -3

x = 4

-3 + y = 6

y = 6 +3

y = 9

Hence:

Y = (4,9)

3 0
2 years ago
Add the following fractions<br>answer the all questions.​
ANTONII [103]

Answer:

1a)  1141/660

3/5 + 6/11 +7/12

   find the LCM of the denominators

the LCM of 5,11,12 is 660

after finding the LCM divide it with the denominator.

after dividing 660 by 5 i get 132. So i need to multiply it with 3. Now, i got 396. Do the same with the rest of the numbers.

u will get smth like this: 396+360+385/660

and the final answer will be1141/660.

b) 71/40

c) 211/28

d) 103/20

5 0
2 years ago
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