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3 years ago

Do 1/3 and 2/6 name the same part of one whole?

Mathematics

1 answer:

alina1380 [7]3 years ago

7 0

Yes. 1/3 = 2/6.
To test, simplify 2/6 by dividing the numerator and denominator each by 2 (as 2/2 = 1) and you get 1/3.

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4/2 as a mixed number

balu736 [363]

Four halves equals 2.

6 0

3 years ago

Read 2 more answers

– 7р — 4 >26р – 94<br> I don’t understand how to solve, what is the answer?

pishuonlain [190]

Answer:

I don't know either but thanks for asking me

3 0

3 years ago

Identify a solution of the equation: log2x+log(x−5)=2

Harrizon [31]

Answer:

3.x= 10

Step-by-step explanation:

log 2x + log (x - 5) = 2
log (2x(x - 5)) = 2
2x(x - 5) = 10²
2(x² - 5x) = 100
x² - 5x - 50 = 0
x² + 5x - 10x - 50 = 0
x(x + 5) - 10(x + 5) = 0
(x - 10)(x + 5) = 0
x = 10
x = -5, this root is discounted as log should be positive.

Correct choice is 3.

6 0

3 years ago

Given:

oksian1 [2.3K]

Answer:

9 units

Step-by-step explanation:

By the midsegment theorem,

$AB=\dfrac{KN+LM}{2}$

Since the ratio $LM:KN=1:5,$ then $LM=x,\ KN=5x$ and

$18=\dfrac{x+5x}{2}\\ \\18=\dfrac{6x}{2}\\ \\18=3x\\ \\x=6\\ \\LM=6\ units\\ \\KN=30\ units$

Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.

Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

$KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units$

Consider right triangle KLE. By the Pythagorean theorem,

$KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units$

3 0

3 years ago

Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Aliun [14]

Answer:

Part 1) $c=21.9\ units$

Part 2) $B=61.1\°$

Part 3) $A=28.9\°$

Part 4) $C=90\°$

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

substitute the given values

$c^{2}=10.6^{2}+19.2^{2}$

$c^{2}=481$

$c=21.9\ units$

step 2

Fin the measure of angle B

we know that

In the right triangle

$tan(B)=b/a$

substitute the given values

$tan(B)=19.2/10.6$

$B=arctan(19.2/10.6)=61.1\°$

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

$B=61.1\°$

$C=90\°$

substitute

$A+61.1\°+90\°=180\°$

$A=28.9\°$

4 0

3 years ago