In a right triangle, a and b are the lengths of the legs and c is the length
of the hypotenuse. If a = 9 centimeters and b = 3 centimeters, what is c? If
necessary, round to the nearest tenth.
4) c = ?
centimeters

Answer:

radius r = 1.41047396 m

base circumference C = 8.86226925 m

volume V = 5.87697483 m^3

curved surface area A = 12.5 m^2

base surface area B = 6.25 m^2

total surface area K = 18.75 m^2

base circumference C = 2.82094792 π m

volume V = 1.87069919 π m3

curved surface area A = 3.97887358 π m^2

base surface area B = 1.98943679 π m^2

total surface area K = 5.96831037 π m

Step-by-step explanation:

V = (2/3)πr^3

C = 2πr

A = 2πr^2

B = πr^2

K = (2πr^2) + (πr^2) = 3πr^2

Answer:

Approximately 6.4 ft³

Step-by-step explanation:

A *hemisphere* is half of a sphere. As far as surface area goes, we not only need to account for the curved area, but also the area of the circular disc at the bottom. The area of the curved region is going to be half the area of the whole sphere. Since a sphere with radius r has a surface area of 4πr², the curved part of the hemisphere must have half that, or 2πr². Add in the area of the circular disc, πr², and we have a total area of 3πr². Setting this equal to the given area of 12.5 ft², we can solve for r:

[tex]3\pi r^2=12.5\\r^2=12.5/3\pi\\\\r=\sqrt{12.5/3\pi}[/tex]

Now, using the formula for the volume of a sphere, [tex]V=(4/3)\pi r^3[/tex], we can substitute our new value for r and solve:

[tex]V=(4/3)\pi r^3\\=(4/3)\pi(\sqrt{12.5/3\pi})^3\\\approx 6.4[/tex]

Answer:  60

8 + 92 = 100

4 × 10 = 40

100 + 40 = 60

Answer:

[tex]60[/tex]

Step-by-step explanation:

[tex](8 + 92) - 4 \times 10[/tex]

[tex]100 - 4 \times 10[/tex]

[tex]100 - 40[/tex]

[tex]60[/tex]

Hope this helps!

Answer:

See below ~

Step-by-step explanation:

Q1

Q2

Q3

Q4

Q5

Answer:

t + 11 = 29

Step-by-step explanation:

Since you are combining your total and your friend's total marbles together, this will be an addition equation.

t + 11 = 29

============================================================

Explanation:

The point (9,8) is in the original set of ordered pairs.

We cannot include (9,-8) since x = 9 is already listed. We can't have repeated x values. If x repeats, then we don't have a function.

This rules out choice A.

Choices B and D are eliminated for similar reasoning.

Choice C can be included because x = -9 hasn't been mentioned yet.

Note: A function is when any given x value leads to exactly one y value.

since it's diameter is 24, its radius must be 12.

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies SA=4\pi (12)^2\implies SA=576\pi[/tex]

now, that's for a sphere, for a hemisphere with the same radius it'd just be half that or 288π, now let's add the area of the circular base.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{hemisphere}{288\pi} ~~ + ~~\stackrel{circular~base}{\pi (12)^2}}\implies 288\pi ~~ + ~~144\pi \implies 432\pi[/tex]

The total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.

A hemisphere is "half the part of sphere".

According to the question,

The diameter of greater circle is 24 this implies radius of circle is 12.

Surface area of sphere = 4πr²

= 4×π × (12)²

= 576π.

Surface area of sphere is 576π

Surface area of Hemisphere is half of the surface area of sphere.

(576π)/2 = 288π

In order to include the base in the total area only if add surface area of hemisphere and area of circle.

surface area of hemisphere + rea of circle = 288π + π(r)²

= 288π + π(12)²

= 288π + 144π

= 432π

Hence, the total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.

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Answer:

46,145 yards

Step-by-step explanation:

convert miles to yards then add

Answer:

290 in^2.

Step-by-step explanation:

Adding all the areas of rectangles:

= 11*8 + 11*3 + 11*8 + 11*3 + 3*8 + 3*8

= 290 in^2.

Answer:

B)  290 in²

Step-by-step explanation:

Area of a rectangle = length × width

⇒ SA of the net = 2(11 × 8) + 2(11 × 3) + 2(8 ×3)

                           = 176 + 66 + 48

                           = 290 in²

Explanation:

There are 8 red marbles out of 22 total

8/22 = 4/11 is the probablity of randomly selecting red.

If the first marble is put back, then that probability will not change.

The probability of two red marbles in a row is (4/11)*(4/11) = 16/121

Side note: 16/121 = 0.1322 = 13.22% approximately

Answer:

hi,as u promise,lets go!!

a)1min=30w

x=400w

b)1min=30w

x=400w

1min×400w=x×30w

400w min=x×30w

30w 30w

x= 13mins and 3 sec.

c)1min=30w

10 min=x.

d)1min=30w

10min=x

1min×x=10min×30w

1min ×x = 300wm

1min 1min

x=300words.

Answer:

a.) 1:30 :: x:400

b.) About 13 minutes and 35 seconds

c.) 1:30 :: 10:x

d.) 300 words

Step-by-step explanation:

a.) 1 = minute 30 = words typed in that minute 400=words typed x=minutes

b.) 400 / 30 = 13.3

c.) 1 = minute 30 = words typed in that minute x=words typed 10=minutes

d.) 10 x 30 = 300

Part A

To shift the curve 3 units to the right, we'll replace x with x-3. What this does is move the xy axis 3 units to the left. If we held the curve in place as the axis moves, then it gives the illusion the curve is moving 3 units to the right.

[tex]f(x) = x^2 + 5\\\\f(x-3) = (x-3)^2 + 5\\\\g(x) = (x-3)^2 + 5\\\\[/tex]

Do not expand out the (x-3)^2 term, because you want to keep the function in vertex form. The old vertex of (0,5) moves three units to the right to arrive at (3,5)

==============================================================

Part B

We use the same idea as before. This time we're moving the curve 10 units to the left, so we'll replace x with x+10

[tex]f(x) = x^2 + 5\\\\f(x+10) = (x+10)^2 + 5\\\\g(x) = (x+10)^2 + 5\\\\[/tex]

The arc length of the circle will be equal to 5.89 units.

The length of the curve on the circumference of the circle making an angle with the centre is called the length of the arc of the circle.

Given that:-

The length of the arc will be calculated as:-

Arc  =  Angle  x  radius

Arc  =  ( 3π / 4  )  x  2.5

Arc  =   5.89 units.

Therefore the arc length of the circle will be equal to 5.89 units.

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Answer:

[tex]volume \: of \: triangular \: prism = \frac{1}{2} \times b \times h \times h \\ = \frac{1}{2} \times 8 \times 12 \times 9 \\ = 432m {}^{3} [/tex]

Answer:

Negative correlation

Step-by-step explanation:

You can draw a line of best fit the would go downhill from left to right which would be a negative slope. This means it has a negative correlation.

Color Number of times picked from jewelry box

blue      14

green   8

red        16

white      12

The probability values are:

Here, we use the color of the earrings;

There are 4 colors in total, one of which is red

So, the theoretical probability of selecting a red earring is:

P(Red) = n(Red)/Total

This gives

P(Red) = 1/4 = 25%

Hence, the theoretical probability of selecting a red earring is 25%

The distribution of the earrings is given as:

Red = 2

Total = 20

The probability of selecting a red earring is:

P(Red) = n(Red)/Total

So, we have:

P(Red) = 2/20

Evaluate

P(Red) = 1/10 or 10%

Hence, the experimental probability of selecting a red earring is 10%

Here, we use the color of the earrings;

There are 4 colors in total, one of which is blue

So, the theoretical probability of selecting a blue earring is:

P(Blue) = n(Blue)/Total

This gives

P(Blue) = 1/4 = 25%

Hence, the theoretical probability of selecting a blue earring is 25%

The distribution of the earrings is given as:

Blue = 4

Total = 20

The probability of selecting a blue earring is:

P(Blue) = n(Blue)/Total

So, we have:

P(Blue) = 4/20

Evaluate

P(Blue) = 1/5 or 20%

Hence, the experimental probability of selecting a blue earring is 20%

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Answer:

(5^6)/(5^3) = 5^3 or 125

Step-by-step explanation:

^ = raised power

(5^6)/(5^3)

because base (5) is same:

law of indices: n^a ÷ n^d = n^(a-d)

therefore

5^6 ÷ 5^3 = 5^(6-3)

= 5^3 which is 125

Answer:

please write question with full info

Answer:

87.36 ft.

Step-by-step explanation:

Angle of depression : 41°

Length of shadow : 76 ft.

Taking the tan ratio (let the height of the tree be 'h') :

tan 41° = 76/h

0.87 = 76/h

h = 76/0.87

h = 87.36 ft.

Answer:

the height of the tree = 87.4 ft (Rounded to the tenths place)

Step-by-step explanation:

the tree form a right angle with the ground

Then , we have a right triangle .

let H be the height of the tree.

[tex]\tan 41=\frac{76}{H}[/tex]

[tex]\Longrightarrow H = \frac{76}{\tan(41)} = 87.427998948797[/tex]

Answer:  8 root 2 or 11.3

Step-by-step explanation:

square 16 and divide by two to find square of other sides. Then root it to find answer

The values for the highlighted variables that show how to subtract the rational expressions correctly are a = 6, x^2 + 6x is equal to x(x+6), and b=2.

From the informaation, the denominator and numerator of the first term are multiplied by x.

The second term is multiplied by (x-6)/(x-6).

Now that they have the same denominator, the two terms are combined. 2 is the coefficient of the first term. In the same way as d is carried over from b, e is carried over from c.

We factor out the (x+6) from the numerator and denominator.

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[tex]\textit{sum of all interior angles in a regular polygon}\\\\ \theta n=180(n-2) ~~ \begin{cases} \theta =\stackrel{degrees}{angle}\\ n=\stackrel{side's}{number}\\[-0.5em] \hrulefill\\ n=13 \end{cases}\implies \theta (13)=180(13-2) \\\\\\ 13\theta =180(11)\implies 13\theta =1980\implies \theta =\cfrac{1980}{13}\implies \theta \approx 152.3^o[/tex]

Answer:

78 sq. units

Step-by-step explanation:

1/2 × (7+19) × 6 = 78

Answer:

m=15/14

Step-by-step explanation:

y2-y1

x2-x1

(3, 0) (-11, -15)

x1 y1   x2   y2

-15-0

-11-3          = -15/-14 m=-15/-14 = 15/14

Answer:

P(not A) = 8/9

Step-by-step explanation:

To write a simple probability, write a fraction. The bottom is all the possibilities, here there are 9. So put a 9 on the bottom. Then on top write how many ways the event can happen. There are 8 ways you can land on "Not A" (that is: B, C, D, E, F, G, H, I) So 8 goes on top. Simplify if possible. 8/9 cannot be simplified.

P(not A) = 8/9

As per the probability of an event, the value of P(not A) is 8/9.

The probability of an event is the chance of happening that particular event.

Given, total number of events in the sample space = 9.

Number of favorable events in that sample space is = 1.

Therefore, the probability P(A) = 1/9.

Now,  P(not A)

= 1 - P(A)

= 1 - 1/9

= 8/9

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Answer:

11 shelves.

Divide 96 by 9

96 ÷ 9 = 10.6

Since 10.6 rounds to 11, and it is more than 10, we will need 11 shelves to store the books, since there is no such thing as a half-bookshelf here.

Answer:

Angle 1 = 78 degrees

Angle 2= 90 degrees.

Angle 3= 12 degrees

Step-by-step explanation:

For angle 1,

Since all opposite angles of a kite is congruent, if the opposite half of the angle is 78 degrees, then the other opposite half is also 78 degrees.

For angle 2,

Diagonals of a kite will ALWAYS form right angles, this since angle 2 is formed by intersecting diagonals, it would be 90 degrees.

For angle 3,

Opposite angles of a kite are supplementary, meaning that the two angles will form a straight line, or 180 degrees.

We know that 78 degrees is half of one opposite angle, so the opposite angle can be concluded as 156 degrees.

The other set of two angles is unknown, so we take it as this formula:

156+2x=180

We subtract 156 from 180 to cancel out the coefficient.

2x=24

Now we use the division property of equality.

2x/2=24/2

x=12.

Angle 3= 12.

The probability that both I and my best friend get the 100 classroom credits is 0.06%.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Since Mr Q's class is having a give-away where his students can receive 100 classroom credits, he will pull names out of a hat and select two winners, and once a student wins, they are not eligible to win a second time, if there are 40 total people in the class, including me and my best friend, to determine what is the probability that both I and my best friend get the 100 classroom credits, the following calculation must be performed:

I = 1/40 = 0.025

my best friend = 1/39 = 0.02564

0.02564 x 0.025 = X

0.0006410 = X

X x 100 = 0.064

Therefore, the probability that both I and my best friends get the 100 classroom credits is 0.06%.

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