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3 years ago

What is 356346 to the nearest ten thousand

1 answer:

3 0

5 is in the ten thousands place now. Since the next digit (a 6) is greater than 5, we must round UP: 360000 is to the nearest ten thousand.

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Find the perimeter of the triangle

OleMash [197]

Answer:

73.7

Step-by-step explanation:

14 +14 +23+22.7=73.7

8 0

3 years ago

Round 1.983 to the nearest hundredth

svet-max [94.6K]

Answer:

1.98

Step-by-step explanation:

Find the number in the hundredth place 8 and look one place to the right for the rounding digit 3. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

4 0

3 years ago

Consider the following system of equations. -10x2-10y2=-300 5x2+5y2=150 Which statement describes why the system has infinite so

scoundrel [369]

Answer:

The equations represent circles that result in the same graph.

Step-by-step explanation:

we have

$-10x^{2}-10y^{2}=-300$

Divide by -10 both sides

$x^{2}+y^{2}=30$ -----> equation A

This is the equation of a circle centered at origin with radius $r=\sqrt{30} \ units$

and

$5x^{2}+5y^{2}=150$

Divide by 5 both sides

$x^{2}+y^{2}=30$ -----> equation B

This is the equation of a circle centered at origin with radius $r=\sqrt{30} \ units$

equation A and equation B are equal

therefore

The system has infinite solutions, because the equations represent circles that result in the same graph.

4 0

3 years ago

Please help!<br><br> If sin(xº)=cos(yº) find k if x=2k+3 and y=6k+7

USPshnik [31]

answer

step-by-step explanation

the equation given is sin(x) = cos(y) with x = 2k + 3 and y = 6k + 7

substitute in 2k+ 3 for x in sin(x) and substitute in 6k + 7 for y in cos(y)

sin(x) = cos(y)

sin(2k + 3) = cos(6k + 7)

we know that sin(x) = cos(90 -x)

sin(2k + 3)

= cos(90 - (2k + 3) )

= cos(90 - 2k - 3)

= cos(87 - 2k)

substitute this into the equation sin(2k + 3) = cos(6k + 7)

sin(2k + 3) = cos(6k + 7)

cos(87 - 2k) = cos(6k + 7)

87 - 2k = 6k +7

80 = 8k

k = 10

7 0

3 years ago

pickupchik [31]

Answer:

2.4cm

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

that means two lengths of the triangle have to be multiplied.

and to have 2 similar triangles means that all lengths inside one triangle are the corresponding lengths inside the other triangle multiplied by the scaling factor f.

multiplying 2 if these lengths with each other means also including the square of the scaling factor (multiplying with the scaling factor twice).

so, if the area of triangle 1 is

"baseline 1" × "height 1" / 2 = 45 cm²

then the area of triangle 2 is

"baseline 2" × "height 2" / 2 =

= "baseline 1"×f × "height 1"×f /2 =

= "baseline 1" × "height 1" × f² / 2 =

= ("baseline 1" × "height 1" / 2) × f² =

= 45 × f² = 20 cm²

f² = 20/45 = 4/9

f = 2/3

so, for a side of ABC being 3.6cm long, that means the corresponding side in DEF is

3.6 × f = 3.6 × 2/3 = 7.2/3 = 2.4cm

4 0

3 years ago