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gavmur [86]
3 years ago
10

Which symbol makes this statement true? 0.35 ____ 1/4 <, >, =

Mathematics
1 answer:
alekssr [168]3 years ago
4 0

Answer:

>

Step-by-step explanation:

if you change 1/4 into a decimal, it turns into 0.25. So 0.35 is greater than 0.25

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Thirty-six divided by six
Musya8 [376]

Answer:

6

Step-by-step explanation:

6 0
2 years ago
Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right and lef
I am Lyosha [343]
So hmm notice the picture below

you're simply being asked to, approximate the area, by using 4 rectangles, like in the graph, it doesn't have to be an exact value, just an approximation, based on the width and height of the rectangles, and getting  their area by that

those rectangles are 0.39 radian long, since if you split π/2 in 4 pieces, you get around that much, the last rectangle there is a bit smaller than 0.39.... but they don't have to be 4 rectangles of equal length

so, get the area of the rectangles, based on their width and height, and sum them up

7 0
3 years ago
On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N
ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

R =(5,5)

S= (2,1)

T = (1,3)

LMN

L = (0,-1)

M= (2,-4)

N= (-2,-3)

Required

Compare both areas

The area of triangle is:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

For RST, we have:

Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|

Area = \frac{1}{2}|-10|

Remove absolute signs

Area = \frac{1}{2}*10

Area = 10

For LMN, we have:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|

Area = \frac{1}{2}|-14|

Remove absolute signs

Area = \frac{1}{2}*14

Area = 7

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

3 0
2 years ago
What value should be added to the expression to create a perfect square? x^2 - 20x
boyakko [2]
To complete the square:
we take the coefficient ox "x" (which in this problem is -20)
we divide it by 2
square that number
then add it to both sides of the equation

-20 / 2 = -10
-10^2 = 100
then we add 100 to both sides of the equation:
x^2 -20x
x^2 -20x +100 = 100
******************************************************
To get the roots of the equation, we take the square root of both sides:
(x -10) * (x-10) = 10
(x-10) = square root (10)
x-10 = <span> <span> <span> 3.1622776602 </span> </span> </span>
x1 = <span> <span> <span> 13.1622776602 </span>
and don't forget that square root of 10 also equals  </span></span><span><span><span> -3.1622776602 </span> </span> </span>
x2 = 10 -<span> <span> <span> 3.1622776602
x2 = </span></span></span> <span> <span> <span> 6.8377223398 </span> </span> </span>


4 0
3 years ago
the system of equations is graphed on the coordinate plane y=-1/2x-1 and y=1/4x-4 enter the coordinates of the solution to the s
pochemuha

Answer:

The coordinates are ( 4, -3).

Step-by-step explanation:

We can find the coordinates by solving the 2 equations

y =  1/4x-4

y = -1/2x-1

As both left sides of the equation are y we can say:

-1/2x-1 = 1/4x-4

-1/2x - 1/4x = -4 + 1

-3/4 x = -3

x = -3 * -4/3

x = 4.

- and y = 1/4(4) - 4 = -3.

7 0
2 years ago
Read 2 more answers
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