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svet-max [94.6K]
3 years ago
13

Round each addend to the nearest whole number and estimate the sum 19.43+11.5+3.08

Mathematics
1 answer:
Talja [164]3 years ago
5 0

19+12+3=34

because 11.5 is right between 11 and 12 you always round up

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This trapezium is drawn on a centimetre grid.<br> Find the area of the trapezium.
aivan3 [116]

Answer:

20 unit²

Step-by-step explanation:

A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.

<u>From </u><u>the</u><u> </u><u>grid</u><u> </u><u>:</u><u>-</u>

\rm\implies Side_1 = 7 \ units

\rm\implies Side_2 = 3 \ units

\rm\implies \perp \ Distance =4  \ units

Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,

\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times   \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm  Area = 20 \ unit^2}

3 0
3 years ago
Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or infinitely
navik [9.2K]

Answer:

Never

Never

Never

Step-by-step explanation:

The equations given are

2x1−6x2−4x3 = 6 ....... (1)

−x1+ax2+4x3 = −1 ........(2)

2x1−5x2−2x3 = 9 ..........(3)

the values of a for which the system of linear equations has no solutions

Let first add equation 1 and 2. Also equation 2 and 3. This will result to

X1 + (a X2 - 6X2) - 0 = 5

And

X1 + (aX2-5X2) + 2X3 = 8

Since X2 and X3 can't be cancelled out, we conclude that the value of a is never.

a unique solution,

Let first add equation 1 and 2. Also equation 2 and 3. This will result to

X1 + (a X2 - 6X2) - 0 = 5

And

X1 + (aX2-5X2) + 2X3 = 8

The value of a = never

infinitely many solutions. 

Divide equation 1 by 2 we will get

X1 - 3X2 - 2X3 =3

Add the above equation with equation 3. This will result to

3X1 - 8X2 - 4X3 = 12

Everything ought to be the same. Since they're not.

Value of a = never.

4 0
3 years ago
The base of a 50-ft ladder that is leaning against a building is placed 35 ft away from the bottom of a building. What angle doe
Andreas93 [3]
46 degrees! use inverse cosine

7 0
3 years ago
Solve 15n &gt; 12n + 18
gogolik [260]
15n > 12n + 18
3n > 18
n > 6
3 0
3 years ago
Read 2 more answers
If a basketball player made 72 out of 85 free throws attempts how many could she make in 200 attempts
DedPeter [7]

Answer:

169

Step-by-step explanation:

Use a proportion:

72/85=x/200

Solve for x

(72)(200)=85x

x=(72)(200)/85

x=169.41≈ 169

She can make 169 of 200 free throws.

6 0
2 years ago
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