Find the range of the given data below:
7, 10, 12, 11, 12, 10, 11, 13, 17, 13
Ans: 10​

Answer:

∠ EDC = 55°

Step-by-step explanation:

Since Δ ADE is isosceles then the 2 base angles are congruent , then

∠ EDA = [tex]\frac{180-20}{2}[/tex] = [tex]\frac{160}{2}[/tex] = 80°

Similarly for Δ BCD

∠ CDB = [tex]\frac{180-90}{2}[/tex] = [tex]\frac{90}{2}[/tex] = 45°

The 3 angles on AB sum to 180° , that is

80° + ∠ EDC + 45° = 180°

∠ EDC + 125° = 180° ( subtract 125° from both sides )

∠ EDC = 55°

Step-by-step explanation:

if b+c=0

b=-c

x^b=x^-c

so

1/[2(x^b)+1]

Answer:

Step-by-step explanation:

13+24m=41m

13=41m-24m

13=17m

13/17=m

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer.....

13 + 24m = 41m

13 = 41m - 24m

13 = 17m

= 13/17 = m

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

57.12 cm²

Step-by-step explanation:

The given dimensions of the hexagon are;

The side length of the hexagon, s = 5 cm

The distance across flats = 8 cm

The distance across corners = 9.28 cm

The area of a regular hexagon, 'A', is given as follows;

[tex]A = \dfrac{3 \cdot \sqrt{3} }{2} \cdot s^2= \dfrac{1}{2} \cdot P \cdot a = 3\cdot s\cdot h[/tex]

Where;

a = The side length of the hexagon

P = The perimeter of the hexagon

h = The height of one of the triangles in the hexagon

However with the given dimensions, the area of the hexagon can be found by finding the sum of the areas of the triangles that make up the rectangle

A₁ = A₃ = A₄ = A₆ = (1/2) × 4.64 cm × 4 cm = 9.28 cm²

A₂ = A₅ = (1/2) × 5 cm × 4 cm = 10 cm₂

The area of the hexagon, A = A₁ + A₃+ A₄ + A₆ + A₂ + A₅ = 4 × A₁ + 2 × A₂

∴ A = 4 × 9.28 cm² + 2 × 10 cm² = 57.12 cm²

2 × (5×4/2 + 2×9.28/4×4) = 57.12 cm²

The area of the hexagon, A = 57.12 cm²

Answer:

1.) [tex]5x^{2} -7x+1[/tex]

2.)[tex]2(x^{2} -3x-3[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) ([tex]2x^{2}[/tex] - 9x + 4) + ([tex]3x^{2}[/tex] + 2x - 3)

= [tex]2x^{2}[/tex] - 9x + 4 + [tex]3x^{2}[/tex] + 2x - 3

= [tex]5x^{2}[/tex] - 7x - 1

2) [tex]x^{2}[/tex] - 4x - 3 + [tex]x^{2}[/tex] -2x - 3

= [tex]2x^{2}[/tex] - 6x - 6

Answer:

a=9

c= 17.5

angles: a =31, b =59, c =90

Step-by-step explanation:

a:

tan (31) = a/15 *cross multiply*

a = 15 (tan (31))

a = 9

c:

*use pythagorean theorum*

9^2 + 15^2 = c^2

81 + 225 = c^2

306 = c^2

17.5 = c

Answer:

B = 59

a = 9.01

c = 17.49

Step-by-step explanation:

Angle B

180 - 90 - 31 = 59

c

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

sin(B)=15/c

sin(59)=15/c

c=15/sin(59)

c=17.49

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\a^{2} +15^{2} =17.49^{2} \\\\a^{2} =17.49^{2} -15^{2}\\a=9.01[/tex]

Answer:

c=26

Step-by-step explanation:

10^2 + 24^2=c^2

100+576=c^2

676=c^2

c=26

Hope I helped, have a nice day :)

Answer:

The Answer is 26

Step-by-step explanation:

to find the hypothenuse you need to use this formula a²+b²=c² so 10x10 is 100 and 24x24 is 576. Add those up and find the square root. √676 is 26.

Hope this Helped

Answer:

C = 12 pi

Step-by-step explanation:

The radius is 6

The circumference is given by

C = 2 * pi *r

C = 2 * pi *6

C = 12 pi

Answer:

12π

Step-by-step explanation:

the circumference of the circle can be found using the formula: 2πr.

RW is the radius, and we know that RW=6, so we can plug this into the formula:

C=2πr

C=2π(6)

C=12π

so, the circumference of the circle is 12π.

Answer: Can you put a better picture this is blurry

Step-by-step explanation:

Answer:

AB ≈ 2.62 cm

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{15}{360}[/tex]

     = 2π × 10 × [tex]\frac{1}{24}[/tex]

     = [tex]\frac{20\pi }{24}[/tex]

     ≈ 2.62 cm ( to the nearest hundredth )

Answer:

R = 101

S = 131

Step-by-step explanation:

First, you will want to get your angle T. Since T is on the same line as the angle with 128 degree, you can easily find angel T. They are supplementary angels and form 180.

T=180-128

T=52

You also know that all angles in a triangle equal to 180

Use that to find angle S

180 = R+S+T

180 = 79 + S + 52

180 - 79 - 52 = S

49 = S, exterior S = 180-49 = 131

Exterior R = 180 - 79 = 101

Now add all your exteriors

Answer:

The formula of a surface area of a cone:

SA=pi rl+\pi r^2SA=pirl+πr

2

r - radius

l - slant height

We have the diameter d = 6 in and a slant height l = 8 in.

d=2r\to r=6in:2=3ind=2r→r=6in:2=3in

Substitute:

SA=\pi(3)(8)+\pi(3^2)=24\pi+9\pi=\boxed{33\pi\ in^2}SA=π(3)(8)+π(3

2

)=24π+9π=

33π in

2

Answer:

Hello there,

So the answer is C,

The real result is approximately 103,53 and by rounding up the result to the nearest inch, we find C!

PLEASE MAKE SURE TO GIVE ME BRAINLIEST THX <3

Answer: precise but not accurate

Step-by-step explanation:

To be precise means for the measurement to be close to the exact value. To be accurate means to get the exact measurement.

In this case, since the students got values that are close to 17cm, it means that they are precise but they are not accurate since they didn't get the exact measurement which is 17cm.

Answer:

B. 147 cm2

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

16×12

if it is 16 wide then we shall multiply by 12

Answer:

Step-by-step explanation:

What do u need help with???

Answer:

-10

Step-by-step explanation:

Answer:

52 miles

Step-by-step explanation:

You can use simple law of proportions to calculate this one.

[tex]\frac{1.3 inch}x} = \frac{1inch}{40mile}\\x= 52 miles[/tex]

solve for x and you get 52 miles.

I have added a similar example below if that helps further explain this.

Hi there! We can find the value of x by using this equation.

[tex] \large \boxed{tanx = \frac{19}{23} }[/tex]

If you remember, tanx = opposite/adjacent. We focus on the angle x currently.

Now that you might wanna ask if there is a value of x that makes 19/23. The answer is yes but in decimal.

[tex] \large{arctan( \frac{19}{23} )} = x[/tex]

You might wanna put arctan(19/23) in a calculator since it's not really possible to get the square root like value by yourself.

arctan(19/23) is 0.69

Then we round up and get 0.7

Hence, the value of x ≈ 0.7

Answer

Questions can be asked through comment.

Hope it helps, and Happy Learning! :)

Answer:

?????????????????????

Answer:

19433

Step-by-step explanation:

Substitute x = 144 and y = 16 into the expression

(144 - 5)² + 7(16)

= 139² + 112

= 19321 + 112

= 19433

Answer:

The number is 24

Step-by-step explanation:

1/6x + 3/8x = 13

4/24x + 9/24x =13

13/24x = 13

13x=312

x=24

y = 1/2x + x where x is any real number

y= -1/3 + x where x is any real number

Answer: to make a line parallel to y = 1/2x + 6, just change the y-intercept (6), and to make a perpendicular line to y = 3x - 8, turn the slope (3x) into its opposite (1/3x).

Step-by-step explanation:

Answer:

the probability of drawing a red would be 12/60, or 1/5, which is 0.2 or 20%

Answer: 340 students

Step-by-step explanation:

The number of students walking to school is 119 and this is 35% of the total number of students.

Assume the total number is denoted by "x".

That would mean that the following formula captures the situation:

119 = 35% * x

119 = 0.35x

x = 119/ 0.35

= 340 students

Answer:

The arc length of the entire circle would be 2*PI*9

We need to know the arc length of 1/3 of the circle so we calculate

arc length = (2 * PI * 9) / 3

arc length = 2 * PI * 3

arc length = 6 * PI

arc length = 18.8495559215

Step-by-step explanation:

Answer:

$509.97 is Rosa's regular pay

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

We require the fractions to have the same common denominator

The LCM of 4 and 3 is 12 , then

[tex]\frac{3(3)}{4(3)}[/tex] - [tex]\frac{2(4)}{3(4)}[/tex]

= [tex]\frac{9}{12}[/tex] - [tex]\frac{8}{12}[/tex]

= [tex]\frac{1}{12}[/tex]