solve the right triangle. round your answers to the nearest tenth​

Answer:

60

Step-by-step explanation:

Central angle = intercepted arc

the radius of the distance between the middle point of the circle and the outside, we have the diameter which is 6 so the radius will be 3

slant height is

[tex]\sqrt{r^2+h^2}[/tex]

h is 4.7 and r is 3

[tex]\sqrt{3^2+4.71^2} \\5.58427[/tex]

slant height is 5.58427

lateral surface area

[tex]\pi r\sqrt{h^2+r^2}[/tex]

[tex]\pi (3)\sqrt{4.71^2+3^2} \\52.63053[/tex]

lateral surface area is 52.63053

total surface area

[tex]\pi r(r+\sqrt{h^2+r^2})[/tex]

[tex]\pi 3(3+\sqrt{4.71^2+3^2})[/tex]

[tex]80.90486[/tex]

total surface area is 80.90486

The slant height of the cone is 5.6km, the total surface area is 50.4πkm, the lateral surface area is 16.8π km.

A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreases to a certain point.

The volume of a cone is (1/3)πr²h.

The total surface area of a cone is πr(r + l).

The curved surface area is πrl.

In the given question radius of the cone is (6/2) km = 3 km.

The slant height of the cone is 5.6 km.

The total surface area of the cone is = π×3(3 + 5.6) km.

= 3π(16.8) km.

= 50.4π km.

lateral surface area is = π×3×5.6 km.

= 16.8π km.

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Answer:

Step-by-step explanation:

point-slope equation looks like  y-y1 = m(x-x1)

plug in the given point for x and y.... and the slope for m

y-9 = 3/2(x-6)

y-9 = 3/2x - 9

y = 3/2x

Answer:

65°

Step-by-step explanation:

81°+124°+90° (right angle) = 295

360-295 = 65°

Answer:

(x-4)(x-4)(x+2)

Step-by-step explanation:

Given p(x) = x^3-6x^2+32 when it is divided by  x - 4, the quotient gives

x^2-2x-8

Q(x) = P(x)/d(x)

x^3-6x^2+32/x- 4  =  x^2-2x-8

Factorizing the quotient

x^2-2x-8

x^2-4x+2x-8

x(x-4)+2(x-4)

(x-4)(x+2)

Hence the polynomial as a product if linear terms is (x-4)(x-4)(x+2)

Answer:

(x-4)(x-4)(x+2)

Step-by-step explanation:

Answer:

(0.69, 0.91)

Step-by-step explanation:

Hope this helps!

The 99% confidence interval for p is (0.698, 0.902), which is closest to option (B) (0.70, 0.90).

A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.

To find the 99% confidence interval for the proportion of adults who shop online, we need to use the formula:

CI = p ± z√((p(1-p))/n)

where p is the sample proportion (72/90 = 0.8), n is the sample size (90), and z is the z-score corresponding to the 99% confidence level (from the z-table, this is 2.576).

Substituting the values, we get:

CI = 0.8 ± 2.576√((0.8(1-0.8))/90)

Simplifying, we get:

CI = 0.8 ± 0.102

Therefore, the 99% confidence interval for p is (0.698, 0.902).

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the angle is 37 degrees

Answer:

36.87°

Step-by-step explanation:

tan x= opposite/adjacen

x=tan ^-1(300/400)

x=36.86989765

Answer:

,,,,,,,,,,,,,,,,,,,,,,,,,

The distance between the given points is 13 units and the coordinates of the midpoint of the segment is (4.5, 4, 6)

3D geometry refers to the mathematics of shapes in three-dimensional space and consists of 3 coordinates. These 3 coordinates are x-coordinate, y-coordinate and z-coordinate. In three-dimensional space, there is a requirement of three parameters for the purpose of finding the exact location of a point.

Given are two points in 3-dimension, (2,4,12) and (7,4,0), we need to find the distance between them, and the midpoint of the segment for which these are the endpoints,

Distance between two points in 3d is given by =

D = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]

Here, [tex](x_1, y_1, z_1)[/tex] = (2,4,12)

[tex](x_2, y_2, z_2)[/tex] = (7,4,0)

Therefore,

D = [tex]\sqrt{(7-2)^2+(4-4)^2+(0-12)^2}[/tex]

D = [tex]\sqrt{5^2+(-12)^2}[/tex]

D = [tex]\sqrt{25+144}[/tex]

D = [tex]\sqrt{169}[/tex]

D = 13

Therefore, the distance between the given points is 13 units.

Since, the midpoint divide the segment in 1:1 ratio,

Therefore,

(x, y, z) = [tex](\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2},\frac{z_2+z_1}{2} )[/tex]

(x, y, z) = [tex](\frac{7+2}{2}, \frac{4+4}{2},\frac{0+12}{2} )[/tex]

(x, y, z) = (9/2, 8/2, 12/2)

(x, y, z) = (4.5, 4, 6)

Hence, the distance between the given points is 13 units and the coordinates of the midpoint of the segment is (4.5, 4, 6)

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Answer:

When the line intercepts the x axis, this means that y will be 0.

therefore the 2 coordinates the line passes through are (2,-5) and (4,0)

given equation of line:

y=mx+b

where m = slope

b = y-intercept.

Let (2,-5) and (4,0) be (x1,y1) and (x2,y2) correspondingly.

slope of line = y1-y2 / x1 - x2

[tex] = \frac{ - 5 - 0}{2 - 4} \\ = \frac{ - 5}{ - 2} \\ = \frac{5}{2} [/tex]

Now substitute x = 4, y = 0 and m = 5/2 into equation of line to find b.

[tex]0 = ( \frac{5}{2} )(4) + b \\ 10 + b = 0 \\ b = 0 - 10 \\ = - 10[/tex]

therefore equation of line will be:

[tex]y = \frac{5}{2} x - 10[/tex]

Answer:

i am sorry i can not see it

Step-by-step explanation:

Answer:

3 units is the answer..

hope it helps

Answer: 7/8 of a mile

Answer:

27 and 50

Step-by-step explanation:

they are both greater than the original side length of 20

Answer:

I can't see the diagram could you attach it

Step-by-step explanation:

Answer:

1) 28

2) 28

B) 1 and 1/2 hr

Answer:

[tex]1.2 \times 3.14[/tex]

Step-by-step explanation:

The ratio of a circumference to its diameter is equal to an irrational number, called pi, roughly equal to 3.14, denoted by symbol

[tex]\pi[/tex]

Therefore, knowing the diameter d, the circumference is equal to d*π

Answer:

X

Step-by-step explanation:

Mathematically, the tangent of an angle is the ratio of the opposite side to the adjacent side

So, for 20/22; 20

is the opposite while 22 is the adjacent

The opposite side simply refers to the side that faces the given angle

We have the opposite side here as facing the angle X and that makes X the correct answer

Answer:

30°

Step-by-step explanation:

if correct pls mark brainliest

Step-by-step explanation:

use the distance formula. calculate the distance between AB and then between CD showing AB = CD.

then use the distance formula on BC and AD, showing they are equal.

d=√((x_2-x_1)²+(y_2-y_1)²)

Answer:

it’s a

Step-by-step explanation:

just do rise over run count how many it is going up from your y intercept to a point on the graph then count to the right from your y intercept to get your answer.

Answer:

b

Step-by-step explanation:

centroid

x=(x1+x2+x3)/3=(0+3+0)/3=3/3=1

y=(y1+y2+y3)/3=(0+0-3)/3=-3/3=-1

centroid =(1,-1)

Di are you alright? I noticed the fact that you aren't online from 7th April or so-

Answer:

5^8/5^x=5^6 the asnwer is 2

Answer:

[tex]the \: third \: answer \: is \: correct[/tex]

Answer:

the first graph

Step-by-step explanation:

change the two equations into the slop-intercept form: y = mx + b

=> y = 6 + x/5 => y = 1/5 x + 6                                          slope↑      ↑y-intercept

=> x = y/6 - 5 => 6x = y - 30 => y = 6x + 30

find the line with y-intercept = 6, slope = 1/5 and the other line with y-intercept = 30, slope = 6

Answer:

y = (x + 1)^2 + 2

Step-by-step explanation:

The graph is 2 units up and 1 unit to the left

a = 1 because from the vertex, it goes 1 up when left/right, then 4 up when left/right

Step-by-step explanation:

[tex] \frac{360 - 2(99)}{2} = \\ = \frac{360 - 198}{2} = \\ = \frac{162}{2} = \\ = 81[/tex]

Answer: 81°

Step-by-step explanation:

Angles on a straight line always add up to 180°.

So as a and 99° are on the same straight line you would have to do 180-99=81°

Hope this helps :)