find the value of given expression

[tex] \sqrt{401 - 1} [/tex]
​

Each piece of ribbon that had been cut has a length of approximately 3.7 m.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The total length of ribbon to tie 12 gifts is calculated as,

⇒ 12 gifts × 1.85 m/gift = 22.2 m

The length of the ribbon remaining is calculated as,

Total length = [22.2 / (1/3)] x 2/3

Total length = 66.6 x 2/3

Total length = 44.4

The length of each piece of ribbon that had been cut is calculated as,

Length of each piece = 44.4 m ÷ 12 = 3.7 m

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Answer: 22.5°

Step-by-step explanation:

Complementary angles are the angles that when we add them together, they're equal to 90°.

Let the smaller angle be represented by x.

Then, the larger one will be 3 × x = 3x

We then add both angles together and equate them to 90°. Therefore,

x + 3x = 90°

4x = 90°

x = 90/4

x = 22.5°

The smaller angle is 22.5°

Answer:

A 303.66

Step-by-step explanation:

b1+b2÷2×h is the formula.

So step by step.

29.2+19=48.2

48.2÷2=24.1

24.1×12.6=303.66

The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.

It is required to find the area of a trapezoid.

It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.

We know the formula for the area of a trapezoid:

[tex]\rm Area = \frac{a+b}{2} \times h[/tex]   Where 'a' is the long base, 'b' is the short base and 'h' is the height.

We have a = 29.2 in

               b = 19 in

               h = 12.6

By putting these values in the formula, we get:

[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]

Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

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Answer:

14587676

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

I believe the answers are;

m<1 = 50°

m<2 = 130°

m<3 = 50°

m<4 = 130°

m<5 = 40°

m<6 = 30°

Answer:

y= 3x + 5

Step-by-step explanation:

The +5 represents the starting 5 action figures, and the 3x represents the 3 action figures he collects each month.

Answer:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...

Step-by-step explanation:

Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.

Answer:

No, a unit rate is a rate for one quanity such as 1 drink for 0.75 cents.

Step-by-step explanation:

Answer:

5/12 ounces

Step-by-step explanation:

If each tube holds 1/3 oz of paint, the you multiply 1/3 by the number of tubes that she used. 1/3oz/tube(1.25 tubes)= 5/12 ounces

Answer:

7

Step-by-step explanation:

3*7+4=25

5*7-10=25

Answer:

Step-by-step explanation:

we are given opposite, adjacent and hypotenuse

and said to find cos(B)

recall trigonometric identity [tex]\cos(\theta)=\dfrac{adj}{hypo}[/tex]

let adj and hypo be 9 and 41 respectively

so

[tex] \displaystyle \: \cos( \beta ) = \frac{9}{41} [/tex]

hence our answer is b

Answer:

yes

Step-by-step explanation:

:)

Answer:

[tex] - x - 3[/tex]

Step-by-step explanation:

1) regroup term.

[tex] - \frac{1}{2} (8x - 4) + 3x - 5[/tex]

2) Simplify 1/2 ( 8x - 4 ) to 8x - 4/2.

[tex] - \frac{8x - 4}{2} + 3x - 5[/tex]

3) Factor out the common term 4.

[tex] - \frac{4(2x - 1)}{2} + 3x - 5[/tex]

4) Simplify 4( 2x - 1 ) / 2 to 2( 2x - 1).

[tex] - 2(2x - 1) + 3x - 5[/tex]

5) Expand by distributing terms.

[tex] - (4x - 2) + 3x - 5[/tex]

6) Remove parentheses.

[tex] - 4x + 2 + 3x - 5[/tex]

6) Collect like terms.

[tex]( - 4x + 3x) + (2 - 5)[/tex]

8) Simplify.

[tex] - x - 3[/tex]

Therefor, the answer is -x - 3.

Answer:

x=10

Step-by-step explanation:

work in the photo

Answer:

x=10

Step-by-step explanation:

Subtract 3 from both sides

2x=23-3

Simplify 23-3 to 20

2x=20

Divide both sides by 2  

x=  2 0/2

Simplify 20/2 to 10

x=10

​  

Answer:

y < 1

Step-by-step explanation:

the value of y in the whole part is less than or equal to 1.

Answer:

The speed of the plane is [tex]v=1.2\: m/s[/tex]

Step-by-step explanation:

The vector (5,6) represents a point in the coordinate system time-position.

So, we have that at t = 5 s the position is x = 6.

Let's recall that the slope of this vector is the speed, then using the tangent definition:

[tex]v=\frac{x}{t}=\frac{6}{5}[/tex]

[tex]v=1.2\: m/s[/tex]

I hope it helps you!

Answer:

A2 = 120

A3 = 60

A5 = 60

A6 = 120

Step-by-step explanation:

Angle 1 and 2 are supplementary, so A2 = 180 - 60, which is 120.

Angle 1 and 3 are vertical angles, which are always the same measure.

Angle 5 is alternate interior angles with 3, which means it is also 60.

Angle 6 is alternate interior angles with 4, which means it is 120.

Answer:

1680.25

Step-by-step explanation:

Step-by-step explanation:

the answer to your question is

16/9

Answer:

16/9

Step-by-step explanation:

remove the bracket

Answer:

x = - 2 -[tex]\sqrt{15\\[/tex]

x = - 2 + [tex]\sqrt{15[/tex]

Step-by-step explanation:

The given equation needs to be solved by completing the squares.

The required values are -2+√15, -2-√15

The given equation is [tex]x^2+4x-11=0[/tex]

The general form of a quadratic equaiton is [tex]ax^2+bx+c=0[/tex]

Comparing with the given equation we have

a = 1

b = 4

c = -11

Rearranging the equation

[tex]x^2+4x=11[/tex]

Finding (b/2)²

[tex](\dfrac{4}{2})^2=4[/tex]

Adding to both sides of the equation

[tex]x^2+4x+4=11+4\\\Rightarrow (x+2)^2=15\\\Rightarrow x+2=\pm\sqrt{15}\\\Rightarrow x=-2+\sqrt{15},-2-\sqrt{15}[/tex]

Learn more about completing the squares:

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Answer:

the slope is 2

Step-by-step explanation: the slope is the rise over run

The answer is 2. In the future try the rise over run method and when the line is / the slop is positive and when it is like \ the slope negative.

Answer:

madision be $12

Jasmine be $24

And, the devanie be $18

Step-by-step explanation:

The computation is shown below:

Madison be x

Jasmine be 2x

Devanie be x + 6

And, the total is $54

Now the equation is

x + 2x + x + 6 = $54

4x = $48

x = $12

So madision be $12

Jasmine be $24

And, the devanie be $18

Answer:x = 8.5

Step-by-step explanation:

1. Combine like terms

62+75+9 = 146

2.Set up equation

146+4x = 180

3. Subtract 146 to each side

146-146 + 4x = 180-146 = 34

4. Divide by 4

4x/4 = 34/4

X= 8.5

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

all triangles have a sum of 180 degrees. so 115+35=150

180-150= 30

Answer:a) $5.64  b)  21 ounces of tea leaves

Step-by-step explanation:

Step 1

5 ounces of tea leaves can be bought with  $2.35

1 ounce of tea can be bought with =$2.35/5 =$0.47

12 ounces at the same rate  can be bought with

=12 x $0.47 = $5.64

b) 5 ounces of tea leaves can be bought with  $2.35

? Ounces of tea leaves can be bought with $10

$2.35 =5 ounces of tea

$10 = ? ounces of tea

           = (10 x  5)/2.35

           =50/2.35

=21.27 rrounded to 21 ounces of tea leaves