A. 1/3=0.33 B. 1/6=0.17 C. 1/10=0.10 D. 1/4=0.25

Please, somebody, solve this quick and reply with step by step explanation AND provide all steps of working!

Alexxx [7]

Answer:

For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:

A = (1/2)*H*(X + Y)

with this we can complete the table.

a)

Here we know:

X = 7cm

Y = 11cm

H = 6cm

Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2

b)

Here we know:

X = 8 m

Y = 10 m

A = 126 m^2

Then:

126 m^2 = 0.5*H*(8m + 10m)

126 m^2 = H*9m

126 m^2/9m = H = 14m

Then the height of this trapezoid is 14m

c)

Here we know:

X = 5mm

H = 8mm

A = 72 mm^2

Then:

72 mm^2 = 0.5*8mm*(5mm + Y)

72 mm^2 = 4mm*(5mm + Y)

72mm^2/4mm = 5mm + Y

18 mm = 5mm + Y

18mm - 5mm = Y

13 mm = Y

Then the parallel side 2 is 13 mm long.

7 0

3 years ago

1.) What is the best approximation of the solution to the system to the nearest integer values?

melisa1 [442]

Part 1) we have

$5x+2y=16$ ------> equation A

$x+3y=12$

$x=12-3y$ ------> equation B

Substitute the equation B in equation A

$5[12-3y]+2y=16$

$60-15y+2y=16$

$13y=44$

$y=44/13=3.38$

Find the value of x

$x=12-3(44/13)=1.85$

the best approximation is the point $(2.3)$

therefore

the answer Part 1) is the option C

$(2.3)$

Part 2) we have

$y=-x-2$ ------> equation A

$y=3x+2$ ------> equation B

equate equation A and equation B

$-x-2=3x+2$

$4x=-4$

$x=-1$

Find the value of y

$y=-(-1)-2=-1$

the solution is the point $(-1,-1)$

therefore

the answer Part 2) is

$(-1,-1)$

5 0

3 years ago

Read 2 more answers

-5/4-(-1/6) help please

tiny-mole [99]

A way to add fractions that always works is to multiply each numerator by the denominator of the other, then express the sum of products over the product of the denominators.
$\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{d}+\dfrac{c}{d}\cdot\dfrac{b}{b}\\\\=\dfrac{ad+bc}{bd}$

Here, you have
$\dfrac{-5}{4}-\dfrac{-1}{6}=\dfrac{-5\cdot6-(-1)\cdot4}{4\cdot6}=\dfrac{-26}{24}\\\\=\dfrac{-13}{12}=-1\frac{1}{12}$

The sum is -1 1/12

3 0

3 years ago

HELP DUE IN 10 MINUTES!!

Pavlova-9 [17]

Answer:

x intercept = 26

y intercept = 6.5

Step-by-step explanation:

n/a

3 0

2 years ago

Read 2 more answers

What is the slope of a line with endpoints at (3,4) and (2,5)?

Lesechka [4]

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-4}{2-3}\implies \cfrac{1}{-1}\implies -1$

6 0

3 years ago

Read 2 more answers

A. 1/3=0.33B. 1/6=0.17C. 1/10=0.10D. 1/4=0.25​

A. 1/3=0.33B. 1/6=0.17C. 1/10=0.10D. 1/4=0.25