MATHEMATICS HIGH SCHOOL

Solve the inequality
-5a-12<-18

Answers

Answer 1
Answer: - 5a - 12 < -18

Add 12 to each side:

-5a < -6

Divide each side by 5 :

-a < -1.2

a > 1.2
Answer 2
Answer: -5a-12 < -18\ \ \ /+12\n\n-5a < -6\ \ \ \ /:(-5) < 0\ \then\ change\

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Please helpfirst one to answer or if correct will be marked brainliest

On Monday, it took Helen 3 hours to do a page of science homework exercises. The next day she did the same number of exercises in 2 hours. If her average rate on Monday was pexercises per hour, what was her average rate the next day, in terms of p?

Answers

p- it is amount of exercises
average= (exercises)/(hour)
Monday average= (p)/(3h)
Tuesday average= (p)/(2h)
If we take into account both days and calculate average from Monday and Tuesday ( we sum 3h on Monday and 2 hours on Tuesday and p exercises on Mon and p exercises on Tuesday):
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1.) A ladder is leaning against the side so that the distance on the ground betweenthe base and the house is 7 feet.
If the ladder is 15 feet long, then what is the angle at which the ladder is leaning?

Answers

The angle at which the ladder is leaning is 62.18°.

What is trigonometry?

Trigonometry is the branch of mathematics that deals with calculating the angles of triangles or the lengths of their sides. It mainly concerned on the properties of right angled triangle.

For the given situation,

The length of the ladder = 15 feet

The distance between the house and the ladder base = 7 feet

The angle at which the ladder is leaning can be found by using trigonometric ratio, cos θ.

we know that, cos θ = (Base)/(Hypotenuse)

The figure below shows the relationship between the sides.

⇒ cos θ = (7)/(15)

⇒ θ = cos^(-1)((7)/(15) )

⇒ θ = 62.18

Hence we can conclude that the angle at which the ladder is leaning is 62.18°.

Learn more about trigonometry here

brainly.com/question/24174128

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Answer:

62.182°

Step-by-step explanation:

Using cos and sin you are able to find the height of the ladder from the bottom of the house to the place the top of the ladder is. You can do this by making a triangle. By using the lengths and angles already present you are able to find all angles of the triangle.

If a whole number is even then the number is divisible by 4 are the statement and it’s converse true

Answers

The statement is false, but the converse is true.

One side of a triangle is 1 in. longer than the shortest side and is 1 in. shorter than the longest side.  The perimeter is 17 in.  Find the dimensions of the triangle.

Answers

X + (x+1) + (x+2) = 17 3x + 3 = 17 3x = 14 X = 14/3 Shortest side = 14/3 = 4-2/3 Medium side = 5-2/3 Longest side = 6-2/3 . Their sum is 17 .

There are 28 pens in a full box. how many pens are in 35 full boxes

Answers

Answer:

980

Step-by-step explanation:

Multiply the number of pens in a box by the number of boxes.

Is 31.010 greater or less than 31.01

Answers

31.010 is equal to 31.01. This is because 31.010 and 31.01 is the same thing. 31.010 is just adding a zero at d end and 31.01 has no zero but it is the same thing as 31.010.

So, 31.010 = 31.01

Hope I helped ya!! 
They are equal, you just can add 0's to the last digits of number and it's still the same.
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