Is 70.61 a rational or irrational number?

Answer:

1.2875 × 10^4

Step-by-step explanation:

Answer:

Obtuse scalene triangle

Step-by-step explanation:

1. Angles:

- Given the information above, we can see that the triangle has one angle that's greater than 90° (129°), so this triangle is obtuse.

2. Sides:

- Given the information above, we can see that all the sides in the triangle are different, so this triangle is scalene.

Therefore, the answer is an obtuse scalene triangle.

Answer: x=45/3

Step-by-step explanation:

Answer:

y = x + 3

Step-by-step explanation:

Given: (6,9)  (14, 17)

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{17-9}{14-6}=\frac{8}{8}=1[/tex]

slope, m = 1

Equation of line ⇒ y=mx+b

y = 9 , x = 6 , m = 1, b = ?

9 = 1*6 + b

9 = 6 + b

b = 9 - 6 = 3

Therefore, the equation of line will be:

y = 1x + 3

y = x + 3

Step-by-step explanation:

You simply have to multiply 3 by all what is in the bracket forinstance

3x+6 , this is so because 3 is multiplied by x and also multiplied by 2

Answer:

y = 1

Step-by-step explanation:

Hello!

2x2=4 so 2 is the quotient and half of 2 is obviously 1. So you add y to that and its y = 1.

The expression of half the quotient of 4 and a number y is gotten as; ¹/₂ * 4/y

From the definition of quotients, we know that a quotient is a result obtained by dividing one quantity by another.

Thus, quotient of 4 and a number y is; 4/y

To get half of the value above, we will just multiply it by half to get;

¹/₂ * 4/y

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Answer:

Ok, so the total answer in going to be 180 degrees. You have that 180 degrees between the two angles divided by 5. Once you divide 180 by 5, you will get the answer that is A=36

Answer:

x = 79

y = 12

Step-by-step explanation:

x + y = 91

x - y = 67

=> x = (91 + 67) : 2 = 79

=> y = (91 - 67) : 2 = 12

P/s: I don't know how to explain what I just did actually, since we learn how to solve this kind of problem in primary at my place already so it's like a blurry memory about how I learn it. If the math problem is to find 2 numbers, knowing their sum and the difference already, this is how to solve it:

=> Larger number: (Sum + difference) : 2

=> Smaller number: (Sum - difference) : 2

If you can memorize it, good for you! If not then it's alright, this is just a nice tips from me to you. You'll have more advantages in solving these kind of math problem if you can memorized these 2 formulas.

Answer:

 [tex]\Large \text{$ \frac{1}{w^2} $}[/tex]

Step-by-step explanation:

Given the exponential expression, [tex]\displaytext\mathsf{w^3\:\times\:w^{-5}}[/tex], where it involves the multiplication of the same base, w, with varying powers.  

Using the Product Rule of Exponents, where it states that, [tex]\displaystyle\mathsf{a^{m}\:\times\:a^{n}\:=\:a^{(m\:+\:n)}}[/tex].

Hence, we simply need to add the exponents:  

[tex]\displaytext\mathsf{w^3\:\times\:w^{-5}\:=\:w\:^{[3\:+\:(-5)]}\:=\:w^{-2}}[/tex]

Next, apply the Negative Exponent Rule, where it states that: [tex]\displaystyle\mathsf{a^{-n}\:=\:\frac{1}{a^n}}[/tex].

Transforming the negative exponent of  [tex]\displaytext\mathsf{w^{-2}}[/tex]  becomes a positive exponent by using the Negative Exponent Rule.

  [tex]\displaytext\mathsf{w^{-2}\:=\:\frac{1}{w^2}}[/tex]

Answer:

-5/2 is the answer

Step-by-step explanation:

Answer:

y = (1/2)x + 1

Step-by-step explanation:

y = mx + b

m = slope = (y2 - y1)/(x2 - x1) = (6 - 2)/(10 - 2) = 4/8 = 1/2

y = (1/2)x + b

Use point (2, 2) to find b.

2 = (1/2)(2) + b

2 = 1 + b

b = 1

Equation: y = (1/2)x + 1

Answer:

The slope is 3 or 3/1

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

200-65= 135

135/13.5=10

Step-by-step explanation:

Write the equation of the line that has a slope of zero and passes through the point (2, -3). [A] y=-3x+2 [B] y=-3 [C] y=2 C] y=2x-3 [D] y=2x + 2

Answer:

10 hours

Step-by-step explanation:

let x be the total number of hours

Amazing design total charge = 45x+250

super structures total charge = 60x+100

both companies charge the same amount when both equation equals

45x+250=60x+100

60x-45x=250-100

15x=150

x=10

therefore at 10 hours both companies will charge the same amount

Answer: y = -3/5x

............................................

Answer:

B. 12 per 16 minutes

Step-by-step explanation:

4×4=16, so multiply 3x4to get 12

Answer:

Jayden has 13 pairs of gloves.

Step-by-step explanation:

2 packages multiplied by 5 pairs = 10

10 pairs plus 3 pairs he already had

= 13 pairs of gloves total  

Answer:

8.28

Step-by-step explanation:

this is the answer because

.08*6= .48

.3*6= 1.8

1*6=6

.48+1.8 = 2.28

6+2.28=8.28

Answer:

114 degrees

Step-by-step explanation:

6x+12=3x+63

-3x -12 -3x  -12

3x=51

x=17

6(17) +12 = 114

Answer:0.16 bar ontop of 6

Step-by-step explanation:

Answer:

0.166

Step-by-step explanation:

I did this about 2 years ago

Answer:

b, or 1b

Step-by-step explanation:

First of all, you have to combine like terms. In this situation though, they are all b. So start at the beginning. 8-9 is -1. -1 - 5 is -6. -6+7 is 1. So you say, b, because it is the same thing as 1 b.

Answer:

b

Step-by-step explanation:

I Think B is the right answer

Similar figures are two or more given figures that have some common properties. The answers to the questions are;

14. m<WYZ = [tex]157^{o}[/tex]

15. m<ACB = [tex]87^{o}[/tex]

Two or more figures are said to be similar if they have some common properties. Note that similar figures may not be congruent.

Thus, the solutions to the questions can be determined as follows:

14. Comparing WYZ and VXYZ, we can deduce that:

<WYZ + <YVX = [tex]180^{o}[/tex] (sum of angles on a straight line))

So that;

(16x - 3) + (3x - 7) = [tex]180^{o}[/tex]

19x - 10 = [tex]180^{o}[/tex]

19x = [tex]190^{o}[/tex]

x = [tex]\frac{190}{19}[/tex]

  = [tex]10^{o}[/tex]

Then,

m<WYZ = (16x - 3) = (16(10) -3)

             = [tex]157^{o}[/tex]

The measure of angle WYZ is [tex]157^{o}[/tex].

15. (11x - 2) = (6x + 13)     (similarity property)

11x - 6x = 13 + 2

5x = 15

x = 3

So that;

m<ABC = (6x + 13) = (6(3) + 13)

             = [tex]31^{o}[/tex]

m<ABC = [tex]31^{o}[/tex]

But,

m<BAC + m<ABC + m<ACB = [tex]180^{o}[/tex]  (sum of angles in a triangle)

[tex]62^{o}[/tex] + [tex]31^{o}[/tex] + m<ACB = [tex]180^{o}[/tex]

m<ACB = [tex]180^{o}[/tex] - 93

             = [tex]87^{o}[/tex]

m<ACB = [tex]87^{o}[/tex]

The measure of angle ACB is [tex]87^{o}[/tex].

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Answer:

X=20

Y=70

Step-by-step explanation:

All angles within a triangle add up to 180

180 - 40 = 140

140 is the top angle of the big triangle

140 + x + x = 180

x = 20

Now use x to find y by subtracting from the right angle (90 degrees)

90 - 20 = 70

70 + 40 + y = 180

Y = 70

The inequality that represents the numbers of large, x and small, y boxes of a 200 pound delivery person is; 75x + 40y ≤ 200

Weight of large boxes = 75 pounds

Weight of small boxes = 40 pounds

Number of large boxes = x

Number of small boxes = y

Thus;

Total weight of large boxes = 75x

Total weight of small boxes = 40y

If the delivery man has 200 pound weight to deliver, then inequality is;

75x + 40y ≤ 200

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