Solve the inequality.
3x + 5
———- <4
2

x < [?]

Step-by-step explanation:

Pythagoras, Pythagoras, Pythagoras.

c² = a² + b²

for c being the Hypotenuse (the side opposite of the 90 degree angle).

that is something you should really burn into your brain for life. you will need that many times.

1.

89² = 80² + side²

side² = 89² - 80² = 1521

side = sqrt(1521) = 39 ft

2.

D

because here the x value of 2 has to different assigned result (y) values. but for a function it had to be exactly 1 value.

3.

the longer of the 2 given sides must be the Hypotenuse, because otherwise we would get a negative length.

97² - 72² = side² = 4225

sqrt(4225) = side = 65 cm

4.

the distance between 2 point is the Hypotenuse of a right-angled triangle, with its legs being the differences in x and y coordinates.

F = (-1, 6)

G = (3, 4)

FG² = (-1 - 3)² + (6 - 4)² = 16 + 4 = 20

FG = sqrt(20) = 4.472135955... ≈ 4.5

so, A is the right answer.

5.

that creates a right-angled triangle, with the flag pole and the distance on the floor to the flag pole as the legs, and the rope as Hypotenuse.

rope² = 53² + 28² = 3593

rope = sqrt(3593) ≈ 60 ft

6.

A

85² = 36² + 77²

7225 = 1296 + 5929 = 7225

correct. this is a right-angled triangle.

B

101² = 99² + 20²

10201 = 9801 + 400 = 10201

correct. this is a right-angled triangle.

C

123² = 120² + 27²

15129 = 14400 + 729 = 15129

correct. this is a right-angled triangle.

D

42² = 33² + 24²

1764 = 1089 + 576 = 1665

incorrect.

1764 - 567 = 1089 ?

1197 = 1089

also incorrect.

as is 1764 - 1089 = 567 and 1089 - 567 = 1764

so, this is not a right-angled triangle.

7.

the sum of all angles in a triangle (also in general triangles) is always 180 degrees.

since the right angle is already 90 degrees, it leave only 90 degrees for the other 2 angles.

A is the only correct option. 25 + 65 = 90.

8.

BC = 13

AC = 3

AB² = AC² + BC² = 3² + 13² = 9 + 169 = 178

AB = sqrt(178) = 13.34166406... meter

the tree was then originally

3 + 13.34166406... = 16.34166406... meter high

12.1.1

35² = 21² + side²

side² = 35² - 21² = 1225 - 441 = 784

side = sqrt(784) = 28 m

12.1.2

side² = 16² + 30² = 256 + 900 = 1156

side = sqrt(1156) = 34 ft

12.2.3

61² = 60² + 11²

3721 = 3600 + 121 = 3721

correct. this is a right-angled triangle.

12.2.4

40² = 37² + 9²

1600 = 1369 + 81 = 1450

incorrect. this is not a right-angled triangle.

neither is 1600 - 1369 = 81 nor 1600 - 81 = 1369 nor 1368 - 89 = 1600

12.2.5

38² = 35² + 15²

1444 = 1225 + 225 = 1450

incorrect. this is not a right-angled triangle.

neither is 1444-1225=225 nor 1444-225=1225 nor 1225-225 = 1444

12.2.6

53² = 45² + 28²

2809 = 2025 + 784 = 2809

correct. this is a right-angled triangle.

12.3.8

the x and y coordinate differences between A and B are 6 and 3.

AB² = 6² + 3² = 36 + 9 = 45

AB = sqrt(45) = 6.7

12.3.9

the x and y coordinate differences between B and C are 1 and 7.

BC² = 1² + 7² = 1 + 49 = 50

BC = sqrt(50) = 7.1

12.3.10

the x and y coordinate differences between A and C are 5 and 4.

AC² = 5² + 4² = 25 + 16 = 41

AC = sqrt(41) = 6.4

final question : you need that in many distance calculations, side lengths, diagonals, heights,... for rooms, yards, acres, buildings, mountains, ...

Answer:

y< or equal to x^2-3.

I hope it helps.

Answer:

  you need to show the number is prime

Step-by-step explanation:

To show 2^7 -1 is prime, you have to show it is not divisible by any prime less than its square root. That root is approximately 2^(7/2) = 2^3×√2 ≈ 11.3.

The primes of in that range are 2, 3, 5, 7, 11. The prime we're testing is ...

  2^7 -1 = 128 -1 = 127

The sum of digits is 10, which is not a multiple of 3: not divisible by 3.

The units digit is 7, not 0 or 5: not divisible by 5.

The test for divisibility by 7 is to subtract twice the units digit from the rest of the number: 12 -2(7) = -2. This is not 0 or a multiple of 7, so 127 is not divisible by 7.

We know that 11² = 121, so 127 is not divisible by 11.

All of the tests for primality pass, so 2^7 -1 is a Mersenne prime.

_____

Additional comment

It is known that 2^n -1 being prime requires n to be prime. (The converse is not true: 2^11 -1 = 2047 = 23×89 is not prime.) The discovery of Mersenne primes is an ongoing process involving thousands of computers around the world. Only about 50 such primes are known.

You will notice that we have made use of some divisibility rules in order to simplify the process of dividing by small numbers. These can be helpful in many situations, so can be useful to learn.

Answer:

-103

Step-by-step explanation:

Just subtract

Answer:

-103

Step-by-step explanation:

You add all the numbers then put the negative sign.

Answer:

x=7

Step-by-step explanation:

by pythagoras, 25^2=24^2+x^2

solve for x

True

False - 25% of 50 is 12.5

False - 70% of 80 is the same as 7/10

True

Answer:

: If you cut it in 2 equal-sized pieces and eat one, you have eaten ... whole number - you will get a fraction equivalent to 1/ 2

Answer:

XD yall all ways doing this to me so yall somthings don't give me the Answer

Step-by-step explanation:

Answer:

It is the second graph, the one with two filled in dots, but no line.

Step-by-step explanation:

The reason it is not the first one is because it has not filled in dots, AND no line, so it's basically saying there is no answer, which is not true.

The reason the third one (the one with a line) is wrong is because, for example, x cannot be 1, because 1 ≠ 2, and if there is a line, it should be true.

Answer:

its the awnser with the 2 not the -2

Step-by-step explanation:

Answer:

1) terminating decimal

2) 0.7 is a terminating decimal

3) a non-terminating, non-repeating decimal

4) a rational number

Step-by-step explanation:

Answer:

Write a list of steps

Step-by-step explanation:

Pls mark me brainliest! Tnx

Therefore, k = 49.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer:

angle A=30°

angle B=60°

angle C=90°

Step-by-step explanation:

given : A=30°,C=90° the mark states it is 90°

find :C=?

A+B+C=180°

30°+90°+x°=180°

=120°+x°=180°

=120°-120°+x°=180°-120°

=x°=60°

Answer:

a bit hard q

Step-by-step explanation:

becoz i am not good at algebra

Answer:

1. A. falling asleep

2. D. taking more time to wind down before bedtime

3. B. There is more than one reason that people have trouble sleeping.

4. C. The problem of falling asleep has been around for a long time and affects many people

5. A. why kids have trouble falling asleep and what they can do about it

6. A. something done over and over

Step-by-step explanation:

Answer:

16 it's answer

Step-by-step explanation:

√121 + ³√125

11+5

16

Answer:

4

Step-by-step explanation:

The graph of the function is attached in the solution.

A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.

Given is an equation, y = 2x-4, we need to determine its graph,

So, for the same, finding the coordinates,

y = 2x-4

Put x = 0

y = -4

(0, -4)

Put x = 1

y = -2

(1, -2)

Put the coordinates on the graph and the join them, the line obtained by this will represent the graph of the function given.

Hence. the graph of the function is a straight line.

Learn more about graphs, click;

https://brainly.com/question/17267403

#SPJ7

-3x-7+4x+7

Negative -7 and positive 7 will give you 0.

So we're left with x. Therefore, the answer is x.

Answer:

bro pls someone hurry i need help

Step-by-step explanation:

Answer: the height of a triangle can be determined in many different ways depending on whether it's a right triangle, isosceles triangle (a triangle with two equal sides), or equilateral triangle.

Step-by-step explanation:

Step-by-step explanation:

The formula for the Area of a triangle is A = (1/2)bh where b is the base an h is the height. Since the triangle is a right triangle, the base and height are the two shorter sides

Answer:

EF

Step-by-step explanation:

BC is the hypotenuse of the left triangle. The corresponding side on the right triangle would be EF.

Answer:

EF

Step-by-step explanation:

The corresponding side to BC is EF.

Look at the bolded letters

ABC ⇒ DEF

notice the similarities?

Answer:

x=3

Step-by-step explanation:

3 squared is 9. 9 plus 2 times 2=22 each of the sides on the angle are 11. 22 plus 22= 44. then 3 -1 equals 2. 44 minus 4 equals 40. equaling the area

Answer:

3

Step-by-step explanation:

First you change 2 1/4 into an improper which is 9/4. Then you do KFC(Keep Change Flip)  9/4 x  4/3=36/12.  THEN YOU SIMPLIFY=9/3,that can still be simplified so the final answer is 3.Its 3 because there are 3 wholes in 9/3.

Answer: What does I stand for? If you meant 1, 1 to the power of 5 is 1.

Answer:

i

Step-by-step explanation:

i^5=(i)(i)(i)(i)(i)

Since i^2=(i)(j)=-1,

it follows that i^4=(i^2)(i^2)=(-1)(-1)=1.

Thus i^4*i=i^5=1*i=i.

Therefore, i^5=i.

The segments on triangle HJK are illustrations of equivalent ratios

The length of line AJ is 8.75 inches

The given parameters are:

[tex]H A = 5.25[/tex]

[tex]HB = 3[/tex]

[tex]BK = 5[/tex]

Because lines AB and JK are parallel lines, then we have the following equivalent ratios

[tex]HA:HB = AJ:BK[/tex]

Substitute values for length HA, HB and BK.

[tex]5.25:3 = AJ:5[/tex]

Express both ratios as fractions

[tex]\frac{5.25}{3} = \frac{AJ}5[/tex]

Multiply both sides by 5

[tex]\frac{5.25}{3} \times 5= AJ[/tex]

[tex]8.75= AJ[/tex]

Rewrite as:

[tex]AJ = 8.75[/tex]

Hence, the length of line AJ is 8.75 inches

Read more about equivalent ratios at:

https://brainly.com/question/2328454

Answer:

The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

Step-by-step explanation:

Hope it's help

Answer:

  C -- see attachment

Step-by-step explanation:

The graph you're looking for has a y-intercept of -2 (as they all do) and a negative slope that is steeper than -1. It will have a "rise" of -4 for each "run" of 3, so point (-3, 2) will also be on the graph.

The graph shown in the attachment is the one you're looking for.

_____

Two of the offered graphs have negative slope. One (B) has a slope of -3/4, so is not the correct graph. The other (C) has a slope of -4/3. It is attached.

the 1st and 2nd ones r correct

Step-by-step explanation:

hope this helps