All categories

3 years ago

In ΔHIJ, j = 33 cm, ∠H=148° and ∠I=21°. Find the length of i, to the nearest centimeter.

Mathematics

1 answer:

Butoxors [25]3 years ago

4 0

Answer:

The length of i to the nearest centimeter is 62 cm

Step-by-step explanation:

Please find the image uploaded for diagram and solution.

You might be interested in

Solve the system of linear equations. separate the x- and y- values with a coma.

kobusy [5.1K]

Solve the following system:
{7 x - 3 y = 37 | (equation 1)
{14 x + 11 y = 23 | (equation 2)
Swap equation 1 with equation 2:
{14 x + 11 y = 23 | (equation 1)
{7 x - 3 y = 37 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{14 x + 11 y = 23 | (equation 1)
{0 x - (17 y)/2 = 51/2 | (equation 2)

Multiply equation 2 by 2/17:
{14 x + 11 y = 23 | (equation 1)
{0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:
{14 x + 11 y = 23 | (equation 1)
{0 x+y = -3 | (equation 2)
Subtract 11 × (equation 2) from equation 1:
{14 x+0 y = 56 | (equation 1)
{0 x+y = -3 | (equation 2)

Divide equation 1 by 14:
{x+0 y = 4 | (equation 1)
{0 x+y = -3 | (equation 2)
Collect results:
Answer: {x = 4
{y = -3

4 0

3 years ago

What’s the reciprocal of 5 4/9

stealth61 [152]

Answer:

9/49

Step-by-step explanation:

5 4/9 =49/9 and49/9*9/49=1 then reciprocal of 49/9 is9/49

5 0

2 years ago

Mark drank 3 2/5 cups of orange jucie in the morning and 2 1/5 cups in the afternoon. How much orange jucie did mark drink in al

Alinara [238K]

Solutions

1) Convert mixed fractions into improper fractions.

$\frac{17}{5}+ \frac{11}{5}$

$= ((17 * 5) + (11 * 5)) / (5 * 5)$

$= (85 + 55) / 25$

$= 140/25$

$= 28/5$

$5 \frac{3}{5}$

5 0

3 years ago

Brielle and Joshua are running a half marathon race, which is 13.1 miles long. It takes Brielle 10 minutes to run 1.25 miles and

CaHeK987 [17]

Answer: Brielle will run the marathon faster.

Brielle = 104.8 minutes

Joshua = 157.2 minutes

Step-by-step explanation:

Speed rate = distance /time

Brielle = 1.25 /10 = 0.125 miles per minute

Joshua = 1.5/18 = 0.083333 =1/12 miles per minute

Since 0.125 (Brielle) > 1/12 (Joshua)

Brielle will run the marathon faster.

To calculate the time that takes each one to run the entire race (13.1 miles)

Time= distance / speed

Brielle = 13.1 /0.125 = 104.8 minutes
Joshua = 13.1 / (1/12)= 157.2 minutes

Feel free to ask for more if needed or if you did not understand something.

8 0

2 years ago

Samuel has a hamster cage that is a rectangular prism. It is 20 1/2 inches long, 12 inches

AleksandrR [38]

Answer:

Step-by-step explanation:

Volume= length × width × height.... Volume= 20 1/2 × 12 × 10 1/4..... Volume= 2521 1/2 cubic inches or 2521.5 cubic inches

6 0

3 years ago