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ziro4ka [17]
3 years ago
10

Common denominator and strategy 2/3 and 10/15

Mathematics
2 answers:
inessss [21]3 years ago
8 0
The common denominator of 2/3 and 10/15 is 15.
To go further,
2/3 can be multipled by 5.
So 2 • 5 = 10
And 5 • 3 = 15
Therefore the new fraction is 10/15
When comparing to the 10/15, both of them are equivalent fractions.
Tom [10]3 years ago
3 0
Their common denominator is 15. Hope it helps! :) If you could vote my answer as the brainliest, that would be awesome! :)
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Evaluate<br> —2y – 3x for x = 1 and y= -2.<br><br> The value of the expression is
bulgar [2K]

Answer:

1

Step-by-step explanation:

Given

- 2y - 3x ← substitute x = 1 and y = - 2 into the expression

= - 2(- 2) - 3(1)

= 4 - 3

= 1

7 0
3 years ago
A road has a 10% grade, meaning increasing 1 unit of rise to every 10 units of run.
fenix001 [56]

The grade is the ratio of rise to run, i.e. the slope aka the tangent.

\tan \theta = \dfrac{1}{10}

\theta = \arctan 0.1 \approx 5.711^\circ

Answer: (a) 6 degrees

For part b, the road is the hypotenuse c of a right triangle whose tangent of the small angle is 1/10.    The height h or rise is the side opposite the small angle.

\sin\theta = \dfrac h c

h = c \sin \theta

We could just take the sine of the angle we got but let's get it from the tangent exactly.

\cos^2 \theta + \sin ^2 \theta = 1

Dividing by squared cosine

1 + \tan ^2 \theta = 1/\cos^2 \theta = 1/(1- \sin^2 \theta)

(1- \sin^2 \theta) = 1/(1 + \tan^2 \theta)

\sin^2 \theta = 1 - 1/(1 + \tan^2 \theta)

\sin^2 \theta = 1 - 1/(1 + (1/10)^2) = 1-1/(101/100) = 1/101

h = c \sin \theta = 2 \sqrt{1/101} \approx 0.199

Answer: (b) Rise of 0.199 km

6 0
3 years ago
Find the indicated side of the<br> triangle.<br> 7<br> 30°<br> b<br> a = [?]
nirvana33 [79]

Answer:

14

Step-by-step explanation:

you have opposite but need to find hypotenuse so you use SOH (sine=opposite/hypotenuse)

so sin(30)= 7/a

7/sin(30)=14

Hope its right

5 0
3 years ago
Jk,kl, and lj are all tangent to circle o, ja=13,al=7, and ck=10 what is the perimeter of angle JKL
Alex73 [517]

see the picture attached to better understand the problem


we know that

two tangent segments drawn from the same exterior point are congruent

so

JA=JB ,

LA=LC,

KC=KB

JA=13 units

LA=7 units

kC=10 units

hence

perimeter = JA+JB+LA+LC+KC+KB------> 13+13+7+7+10+10------> =60 units


therefore


the answer is

the perimeter of triangle JKL is 60 units

8 0
3 years ago
Write an equation in slope-intercept form that passes through (-6,-2) and had a y-intercept located at y=-5
valina [46]

Answer:

(-6, -2) is the answer

Step-by-step explanation:

8 0
2 years ago
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