b. 21.8°
5. Find the measure of the angle to the nearest tenth of a degree.
cos Y=0.5135
30.9
c.

Given:

A semicircle with radius 7 cm.

To find:

The circumference of the given semi circle.

Solution:

We know that,

Circumference of a semi circle = Half of circumference of the circle + Diameter

                                                    [tex]=\dfrac{1}{2}(2\pi r+d[/tex]

                                                    [tex]=\pi r+2r[/tex]

Putting [tex]\pi=\dfrac{22}{7},r=7[/tex], we get

Circumference of the semi circle [tex]=\dfrac{22}{7}(7)+2(7)[/tex]

                                                        [tex]=22+14[/tex]

                                                        [tex]=36[/tex]

Therefore, the circumference of the given semi circle 36 cm.

Answer:

3rd one

.

.

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

Answer:

Length of rectangle = 16 cm

Width of rectangle = 4 cm

Step-by-step explanation:

Given:

Area of rectangle = 64 cm²

Find:

Length and width

Computation:

Assume;

Length of rectangle = a

So,

Width of rectangle = a -12

Area of rectangle = l x b

So,

a(a-12) = 64

a² - 12a - 64 = 0

a² - (16-4)a - 64 = 0

a² - 16a+ 4a - 64 = 0

a (a-16) + 4(a-16)= 0

(a-16)(a+4) = 0

a= 16 , a = -4

So,

Length of rectangle = 16 cm

Width of rectangle = a -12

Width of rectangle = 16 -12

Width of rectangle = 4 cm

Answer:

60.1°

Step-by-step explanation:

We solve the above question using the Trigonometric function of Sine

sin x = Opposite/Hypotenuse

x = Angle of Depression

Opposite = 15ft

Hypotenuse = 17.3ft

sin x = 15ft/17.3ft

x = arc sin (15ft/17.3ft)

x = arcsin(0.8670520231213873)

60.117851927°

Approximately Angle of depression = 60.1°

Answer:

Step-by-step explanation:

Multiple the numbers one by one and the answers you’ll get u can choose to divide multiple plus or minus and u will get the answer

Answer:

The correct answer is;

The replacement cone holds 4·π cubic inches more than the volume of the original cone  

Step-by-step explanation:

The given measurements of the cones are;

The radius of the original cone, r₁ = 3 inches

The height of the original cone, h₁ = 4 inches

The radius of the replacement cone, r₂ = 4 inches

The height of the replacement cone, h₂ = 3 inches

The volume of a cone, V = (1/3)·π·r²·h

The volume of the original cone, V₁ = (1/3)·π·r₁²·h₁

∴ V₁ = (1/3) × π × (3 in.)² × 4 in. ≈ 37.7 in.³

The volume of the replacement cone, V₂ = (1/3)·π·r₂²·h₂

∴ V₂ = (1/3) × π × (4 in.)² × 3 in. ≈ 50.27 in.³

The ratio of the volume of the two cones is given as follows;

Volume ratio = V₁/V₂

∴ Volume ratio = (1/3) × π × (3 in.)² × 4 in. /((1/3) × π × (4 in.)² × 3 in.) = 3/4

The difference in volume, ΔV = V₂ - V₁ = (1/3) × π × ((4 in.)² × 3 in. - (3 in.)² × 4 in. = 4·π in.³

Therefore, the volume of the replacement cone is 4·π in.³ more than the volume of the original cone.

Step-by-step explanation:

I need the graph. I'll answer if you send me the graph that is uses

Answer:

s/2 is the equation

Step-by-step explanation:

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB  be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]

PROCEDURE :-

Let the co-ordinates of another endpoint be (x , y)

So ,

[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]

First , lets solve for x.

[tex]=> \frac{x - 4}{2} = -8[/tex]

[tex]=> x - 4 = -8 \times 2 = -16[/tex]

[tex]=> x = -16 + 4 = -12[/tex]

Now , lets solve for y.

[tex]=> \frac{y - 10}{2} = -4[/tex]

[tex]=> y - 10 = -4 \times 2 = -8[/tex]

[tex]=> y = -8 + 10 = 2[/tex]

∴ The co-ordinates of another endpoint = (-12 , 2)

Answer The answer is c.

Step-by-step explanation:

cause i said it was

Answer:

it's the 3rd option (eeeexxxxttteeennndddeeerrr)

Answer:

the correct answer is c i hoped this helped

Answer:

Step-by-step explanation:

So it 22

Answer: 0.007

Step-by-step explanation:

Answer:

x=27

Step-by-step explanation:

Answer:

The answer would be 27

Step-by-step explanation:

Times three by nine to get the value of x.

Answer:

210

Step-by-step explanation:

Answer:

217

Step-by-step explanation:

5³ − (64/8) + 10²=125-8+100=217

Answer:

$52

Step-by-step explanation:

first 2/3*156 and you get 104

Then you do 156 -104 and you will have your answer

Answer:

Max has $52 remaining

Step-by-step explanation:

[tex]\frac{2}{3}*\frac{156}{1} = \frac{312}{3} \\[/tex]

simplify [tex]\frac{312}{3}[/tex] by 3 to get [tex]\frac{104}{1}[/tex]

Given:

The equation is:

[tex](2x+1)(x-2)=0[/tex]

To find:

The values of a, b and b from the standard form.

Solution:

The standard form of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]            ....(i)

We have,

[tex](2x+1)(x-2)=0[/tex]

In can be rewritten as

[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]

[tex]2x^2-4x+x-2=0[/tex]

[tex]2x^2-3x-2=0[/tex]             ...(ii)

On comparing (i) and (ii), we get

[tex]a=2,b=-3,c=-2[/tex]

Therefore, the correct option is C.

Answer:

4067

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

If you use a calculator, 3/4 x 60 = 45

It’s the number closet to 100-55

Answer: 3:8

Step-by-step explanation:

Number of rainy days = 42

Number of sunny days = 112

To calculate the rainy day to sunny day ratio, we can first use the numbers given as fraction and divide to its lowest term. This will be:

= Number of rainy days / Number of sunny days

= 42 / 112

= 3/8

Therefore, the ratio of rainy days to sunny days will be 3:8

São eles: (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41), (11, 60, 61), (12, 35, 37), (13, 84, 85), (16, 63, 65), (20, 21, 29)

Answer:

Blue = 30

Green = 24

Red = 54

Orange = 12

Step-by-step explanation:

hahahshahhahahahahahauehfudbrog f ghg

Answer:

Step-by-step explanation:

i dont know

Answer:

y = -1/2x+5

Step-by-step explanation:

South Street: y = 2x-4

Perpendicular slope to 2 is -1/2

Find any point on new street: (2,4)

4 = -1/2(2) + b

4= -1 + b

5 = b

Given:

The height of 44 students (in centimeter) are presented in the given frequency distribution.

To find:

The median of the given data.

Solution:

The given intervals are inclusive first make the intervals exclusive by adding 0.5 in upper limit and by subtracting 0.5 from the lower limit.

The complete frequency distribution table is shown below:

Height              Frequency           L                            <cf

182 - 188                  1                  181.5 - 188.5            44

175 - 181                   3                 174.5 - 181.5             43

168 - 174                  6                 167.5 - 174.5            40

161 - 167                 15               160.5 - 167.5            34   Median class

154 - 160                 12                153.5 - 160.5           19

147 - 153                   4                146.5 - 153.5             7

140 - 146                   3                139.5 - 146.5             3

We have, [tex]n=44[/tex].

[tex]\dfrac{n}{2}=\dfrac{44}{2}[/tex]

[tex]\dfrac{n}{2}=22[/tex]

The 22th term is include in the class 160.5 - 167.5 because is cf is greater than 22 but the cf of o preceding class is less than 22. So, it is the median class is 160.5 - 167.5.

Formula for median:

[tex]Median=l+\dfrac{\dfrac{n}{2}-cf}{f}\times h[/tex]

Where, l is the lower limit of median class, cf is the cumulative frequency of preceding class, f is the frequency of median class and h is the size of the class.

Now, [tex]l=160.5,f=15,cf=19,h=7[/tex].

[tex]Median=160.5+\dfrac{22-19}{15}\times 7[/tex]

[tex]Median=160.5+\dfrac{3}{15}\times 7[/tex]

[tex]Median=160.5+1.4[/tex]

[tex]Median=161.9[/tex]

Therefore, the median of the given data table is 161.9.

Answer:

(4, -2),  (3, 7),  (5, 1),  (6, -2),  (7, -5)

Step-by-step explanation:

These are a few of the points, so you can just connect them!

Hope this helped! :)

Answer:

Step-by-step explanation:

If you have both the slope and a point on the line, use the point-slope formula y - k = m(x - h), which here is y + 2 = -3(x - 4).

Now you can choose a few x values at random and calculate the associated y values.  Let's try x = -1, x = 3, x = 0:

For x = -1:  y + 2 = -3(-1 - 4), or y = -2 -3(-5) = -2 + 15 = 13.  The point is (-1, 13).

For x = 3, we get y + 2 = -3(-1), or y = -2 + 3 = 1.  The point is (3, 1).

For x = 0, y = -2 - 3(-4), or y = -2 + 12 = 10.  The point is (0, 10).

Plot these three points and draw a line through them.

Answer:

-1/3

Step-by-step explanation:

-6+3=-3

2 and -7 is 9

Answer:

the correct answer is B

Step-by-step explanation:

go it right!!!

Answer:

360 tons

Step-by-step explanation:

Coke burned : cast iron = 15 : 16

The smelter produces 384 tons of cast iron a day

Let x = tons of coke burned

Coke burned : cast iron = x : 384

Equate both ratios

15 : 16 = x : 384

15/16 = x/384

Cross product

15 * 384 = 16 * x

5,760 = 16x

x = 5,760/16

x = 360

x = tons of coke burned = 360 tons

Answer:

x = 50°

y = 50°

Step-by-step explanation:

x = y because it is an isosceles triangle

2x + 80 = 180°

2x = 100°

x = 50°

y = 50°