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3 years ago

What is 1 5/6 + 1/2 ? a. 14/6 b. 17/12 c. 17/6 d. 25/12

1 answer:

3 0

Make bottom numbers same

convert to improper fraction

1 and 5/6=1+5/6=6/6+5/6=11/6

1/2 and 11/6
2 times 3=6
1/2 times 3/3=3/6

1/2+11/6=3/6+11/6=(4+11)/6=14/6

answer is A

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To solve y and x, I am adding a picture

Viktor [21]

Answer:

$x =\sqrt 5$

$y = \sqrt{5$

Step-by-step explanation:

Given

The attached triangle

Required

Solve for x

Considering angle 45 degrees, we have:

$\cos(45) = \frac{y}{\sqrt{10}}$ --- cosine formula i.e. adj/hyp

Solve for y

$y = \sqrt{10} * \cos(45)$

In radical form, we have:

$y = \sqrt{10} * \frac{1}{\sqrt 2}$

$y = \sqrt{10/2}$

$y = \sqrt{5$

To solve for x, we make use of Pythagoras theorem

$x^2 + y^2 = (\sqrt{10})^2$

$x^2 + y^2 =10$

Substitute for y

$x^2 + (\sqrt 5)^2 =10$

$x^2 + 5 =10$

Collect like terms

$x^2 =10-5$

$x^2= 5$

Solve for x

$x =\sqrt 5$

4 0

3 years ago

Which value of x will make the triangles similar by the SSS similarity theorem

masha68 [24]

Answer:

x = 30.

Step-by-step explanation:

For the triangles to be similar corresponding sides must be in the same ratio.

So 50/ 75 = x / 45

75x = 50*45

x = 50* 45/75

= 2 * 45 / 3

= 30. (answer).

4 0

3 years ago

I Need help please I only have a little bit of time

kvasek [131]

Answer:

Step-by-step explanation:

if its asking for inches

6 0

3 years ago

Read 2 more answers

Car is driving at 30 kilometers per hour. How far in meters does it travel in 3 seconds?

Alenkasestr [34]

Answer:

25 meters

Step-by-step explanation:

30 km/hr = (30 km/1 hr)*(1000 m/1 km)*(1 hr/60 min)*(1 min/60 sec)

30 km/hr = (30*1000*1*1)/(1*1*60*60) meters per second

30 km/hr = 8.3333333333 m/s (approximate)

----------

The speed or rate is r = 8.3333333333 meters per second approximately, and the time is t = 3 seconds, so,

distance = rate*time

d = r*t

d = 8.3333333333 * 3

d = 24.9999999999

Due to rounding error, the true answer should be d = 25. We can see this if we opted to use the fraction from of 8.3333... instead of the decimal representation which isn't a perfect exact measurement.

4 0

3 years ago

a woman is 10 times as old as her daughter. In 8 years she will be 4 times as old as her daughter. How okd is her mother now?

Bond [772]

Answer:

48 yr. old

Step-by-step explanation:

Assume daughter is 4 and mom is 10 times her age, so mom is 40.

10 (woman) * 4 (daughter's age) = 40 yr. old mom

Present day...

40 (yr old mom) + 8 (yrs later) = 48 yr. old mom today

4 (yr old daughter) + 8 (yrs later) = 12 yr. old daughter today

So, if mom is 4 times as her daughter's age today...

48 (yr. old mom) / 12 (yr. old daughter) = 4

5 0

2 years ago