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alisha [4.7K]
3 years ago
11

A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of

inclination of the roof to the nearest degree?
Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

41 degrees to the nearest degree.

Step-by-step explanation:

A line drawn from the vertex and bisecting the base forms 2 right triangles.

The base of one right triangle = 1/2 * 12 = 6 m.

So cos A = adjacent side /hypotenuse   where A is the angle of inclination.

cos A=  6 / 8 = 0.75

m < A = 41.41 degrees.

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A train leaves thorn junction at 1:25 p.m. and arrives in niles at 3:05 p.m. the train makes two stops along the route for a tot
KonstantinChe [14]

The time taken by the first and the second train is 1 hour 40 minutes and 1 hour 25 minutes. Then the time when the second train at Niles junction is 5:55 p.m.

<h3>What is speed?</h3>

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

\rm Speed = \dfrac{Distance}{Time}

A train leaves Thorn junction at 1:25 p.m. and arrives in Niles at 3:05 p.m. the train makes two stops along the route for a total of 15 minutes.

A second train leaves Thorn junction at 4:30 p.m. and heads to Niles.

This train does not make any stops.

Let the speed of both trains be equal.

Then the time taken by the first train will be

t₁ = 3:05 p.m. - 1:25 p.m.

t₁ = 1 hour 40 minutes

Then the time taken by the second train will be

t₂ = 1:40 - 00:15

t₂ = 1:25 = 1 hour 25 minutes

The time when the second train is at Niles junction will be

→ 4:30 p.m. + 1:25

→ 5:55 p.m.

More about the speed link is given below.

brainly.com/question/7359669

#SPJ1

3 0
2 years ago
Frank and his mom are planting vegetables in their garden. Frank has finished planting 8 rows of carrots so far and is planting
Yuliya22 [10]

Answer:

It will take 3 hours. They will both have completed 11 rows.

Step-by-step explanation:

1 row of carrots per hour = frank

3 rows of tomatoes per hour = frank's mom

right now, this is how many they have completed

frank - 8 rows

mom - 2 rows

1st hour

f - 9

m - 5

2nd hour

f - 10

m - 8

3rd hour

f - 11

m - 11

8 0
2 years ago
Write a compound inequality for the graph shown below.<br> Use x for your variable.
ICE Princess25 [194]

Answer:

wheres your graph?

Step-by-step explanation:

i could do this with a graph lol

3 0
3 years ago
Read 2 more answers
A 5-lb bag of apples costs $4.50. What is the cost of apples per pound?
laiz [17]

Answer:

.9

Step-by-step explanation:

do 4.50 divided by 5 to get .9

7 0
3 years ago
Read 2 more answers
One-third of a storeâs inventory is childrenâs clothing. Two-fifths of its inventory is womenâs clothing. What fraction of the t
Eva8 [605]

Answer:  C. 11/15

Step-by-step explanation:

Given : The fraction of stores inventory is children's clothing=\dfrac{1}{3}

The fraction of stores inventory is women's clothing=\dfrac{2}{5}

Since both events are independent.

Therefore, the fraction of the total inventory is children's or women's clothing =  (Fraction of stores inventory is children's clothing ) + (Fraction of stores inventory is women's clothing )

=\dfrac{1}{3}+\dfrac{2}{5}=\dfrac{5+2(3)}{15}

=\dfrac{11}{15}

∴ The fraction of the total inventory is children's or women's clothing =\dfrac{11}{15}

Hence, the correct answer is C. 11/15 .

6 0
3 years ago
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