Needs answered ASAP
What is the volume of the triangular prism below?

Answer:

p/√(1-p^2)

Step-by-step explanation:

Firstly we can write our sin (θ) = p/1

Mathematically, the sine of an angle refers to the ratio of the opposite to that of the hypotenuse. Hence we can say that p is the opposite while 1 is the hypotenuse of the right-angled triangle.

Now to get the third side of the right angled triangle, we use the pythagoras’ theorem. This states that the square of the hypotenuse equals the addition of the squares of the other two sides of the right angled triangle. Thus, mathematically:

1^2 = p^2 + adjacent^2

Adjacent^2 = 1 - p^2

Adjacent = √(1-p^2)

The tan of an angle refers to the ratio of the opposite to the adjacent.

Thus, our tan here will be p/√(1-p^2)

Tan θ = p/√(1-p^2)

Answer:

3)p/(√ 1-p^2)

Step-by-step explanation:

In trigonometry, the three fundamental or basic functions are represented by the notation SOH CAH TOA where

SOH

Sin θ = opposite/hypotenuse

Cos θ = Adjacent / hypotenuse

Tan θ = Opposite / Adjacent

And from Pythagoras theorem,

Opposite ² + Adjacent ² = Hypotenuse²

Hence if  Sin θ = p/1, the opposite side is p, the hypotenuse side is 1 then

the adjacent side from the equation above

Adjacent side² = 1 - p²

Adjacent side = √(1 - p²)

Tan θ = p/√(1 - p²)

Answer:

6.5 years

Step-by-step explanation:

The formula for area of a triangle is 1/2 x base x height.

Let the height = x

Then the base (length) = 2x ( twice the height)

You know have 16 = 1/2 * 2x * x

Multiply both sides by 2 to remove the 1/2:

32 = 2x * x

Simplify the right side:

32 = 2x^2

Divide both sides by 2:

16 = x^2

Take the square root of both sides:

X = 4

The height is 4 units and the length is 8 Units

Answer:

C 12 inches

Step-by-step explanation:

you get the circumference formula C = 2 *pi *r

then divide 2 from 75 and then pi and then you get your radius

i hope this helped<3

Step-by-step explanation:

a 38 inches

The radius is half of the circumference.

Now lets figure out what we know.

1.Our circumference is 75 inches

We would have to divide 75 by two to get it in half.

75÷2=37.5

Now we round to the nearest inch.

And our answer is 38 inches (A)

Answer:

I think it's the first one.

Answer:

The equation of the circle is [tex]{ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 = \frac{ 25 }{ 4 } }[/tex].

Step-by-step explanation:

This is the general standard equation for the circle centered at (h, k) with radius r.

                                           [tex](x-h)^2+(y-k)^2=r^2[/tex]

From the graph we know that the center, the red point, is (1, 2) and the circle pass through the point (2.5, 4) the blue point.

To find the standard equation of the circle you must:

Step 1: Find circle radius.

To find a radius of a circle we will compute the distance between points [tex]C=(1, 2)[/tex] and [tex]P=(2.5, 4)={ \left( \frac{ 5 }{ 2 } , 4 \right) }[/tex]. The distance can be computed by using formula:

[tex]r = \sqrt{ \left(C_x - P_x\right)^2 + \left(C_y - P_y\right)^2 }\\\\r = \sqrt{ \left(1 - \frac{5}{2} )^2 + \left(2 - 4)^2 }[/tex]

[tex]r=\sqrt{\frac{3^2}{2^2}+2^2}=\sqrt{\frac{9}{4}+4}=\sqrt{\frac{25}{4}}=\frac{5}{2}[/tex]

Step 2: Substitute the values of the radius and the center into the general standard equation for the circle.

[tex]\begin{aligned} \left(x - 1 \right)^2 + \left(y - 2 \right)^2 &= \left(\frac{ 5 }{ 2 }\right)^2 \\ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 &= \frac{ 25 }{ 4 } \end{aligned}[/tex]

Answer:

undefined

Step-by-step explanation:

We can find the slope of a line using two points by

m = (y2-y1)/(x2-x1)

   = (-9- -4)/(-4 -  -4)

    = (-9+4)/(-4+4)

   = -5/0

When we divide by zero, our solutions is undefined

The slope is undefined

Answer:

i would say 3/8 if thats an option

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. The probability that the two pieces of fruit are oranges is 3/28.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that the two pieces of fruit are randomly picked out of a covered basket with 5 apples and 3 oranges. Therefore, the probability that the two pieces of fruit are oranges is,

Probability = (3/8) × (2/7) = 6/56 = 3/28

Hence, the probability that the two pieces of fruit are oranges is 3/28.

Learn more about Probability:

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Answer:

[tex]9\pi[/tex], which is approximately [tex]28.26[/tex].

Step-by-step explanation:

Consider two sectors in the same circle. The area of the two sectors is proportional to their central angles. In other words, if the central angle is [tex]\theta_1[/tex] for the first sector in this circle, and [tex]\theta_2[/tex] for the second, then:

[tex]\displaystyle \frac{\text{Area of Sector 1}}{\text{Area of Sector 2}} = \frac{\theta_1}{\theta_2}[/tex].

In this question, think about the whole circle as a sector. The central angle of this "sector" would be [tex]360^\circ[/tex] (a full circle.) Compare the area of this circle to that of the [tex]60^\circ[/tex]-sector in this circle:

[tex]\displaystyle \frac{\text{Area of Circle}}{\text{Area of $60^\circ$-Sector}} = \frac{360^\circ}{60^\circ} = 6[/tex].

In other words, the area of this circle is six times that of the [tex]60^\circ[/tex]-sector in it.

The area of that [tex]60^\circ[/tex]-sector is [tex]\displaystyle \frac{3}{2}\pi[/tex]. Therefore, the area of this full circle will be [tex]\displaystyle 6 \times \frac{3}{2}\pi = 9\pi \approx 28.26[/tex].

Answer:

8

Step-by-step explanation:

y < mx+c

here  y will be the temperature on any particular winter day, x will be the variable on whixh temperature is dependent  and m will be the gradient.

The temperature must always be less than 8 so c will be 8.

y < 8

8 should be the maximum value of the inequaltiy

Answer:

your anwser is 8

Step-by-step explanation:

Answer:

-9x + x = 17 – 1  

8x = 16

X = 16/8  

X=2

Answer: The value of x is 479

Step-by-step explanation:

x -14 = 465

   +14     +14

x=  479

Answer:

x=479

Step-by-step explanation:

x-14=465 Move constant to the right-hand side and change its sign

x=465+14 add the numbers

x=479

HOPE THIS HELPS :)

Answer:

Step-by-step explanation:

Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.

In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example

[tex]\sqrt[3]{x} =-1[/tex]

We cube both sides

[tex](\sqrt[3]{x} )^{3} =(-1)^{3} \\x=-1[/tex]

If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side

[tex]\sqrt[3]{x}=\sqrt[3]{-1} \\\sqrt[3]{x}=-1[/tex]

There you have it, cubing both sides of an equation is reversible.

Answer:

.25 fraction form

Step-by-step explanation:

118th pie ft3

The missing dimension of the cone given is h = 3/2 feet.

Given a cone.

It is required to find the missing dimension of the cone.

It is given that:

Diameter of the base of the cone = 2/3 feet

The diameter is twice the length of the radius.

So, the radius of the base of the cone = (2/3) / 2 = 1/3 feet

Here the height of the cone is the missing dimension.

Given the volume of the cone = 1/18 π ft³

The formula to find the volume of the cone is:

V = 1/3 πr²h

Here r is the radius and h i the height.

Substitute the given values.

1/3 π(1/3)²h = 1/18 π

1/27 h = 1/18

h = 27/18 = 3/2 feet

Hence the height is 3/2 feet.

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Answer:

Andy makes $13.25 per hour

Step-by-step explanation:

Take the total amount and divide by the hours worked

225.25/17

13.25

Andy makes 13.25 per hour

Answer:

13.25 an hour

Step-by-step explanation:

225.25 divided by 17 = 13.25

Kono Dio Da!!!!

Answer:

B). -3

add the -1.4 to-3.5 then divide the solution

Answer:

It's B. -3 (please mark as brainliest)

Step-by-step explanation:

0.7x−1.4=−3.5

Step 1: Add 1.4 to both sides.

0.7x−1.4+1.4=−3.5+1.4

0.7x=−2.1

Step 2: Divide both sides by 0.7.

0.7x

0.7

=

−2.1

0.7

So it's x=−3

Answer:

$0.60

Step-by-step explanation:

Answer:

number : number

Step-by-step explanation:

for example, 1:3

this means 1 to 3

so for every 1 banana there are 3 apples

Answer:

The equation of a circle is [tex](x-5)^2+(y+4)^2=4[/tex] .

Step-by-step explanation:

-The equation of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex] (where center is [tex](h,k)[/tex], the point [tex](x_{1},y_{1})[/tex] and the radius known as [tex]r[/tex]).

-Use the center (5,-4) and the point (5,-2) for the equation:

[tex](5-5)^2+(-2+4)^2=r^2[/tex]

-Solve the equation:

[tex](5-5)^2+(-2+4)^2=r^2[/tex]

[tex]0 + (-2)^2=r^2[/tex]

[tex]4 = r^2[/tex]

[tex]\sqrt{4} = \sqrt{r^2}[/tex]

[tex]2 = r[/tex]

-After you found the radius, use the center (5, -4)  and radius 2 to get the equation of a circle:

[tex](x-5)^2+(y+4)^2=2^2[/tex]

-Then, after you have the equation, the radius needs to simplified by the exponent:

[tex](x-5)^2+(y+4)^2=4[/tex]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image for the step by step explanation of the answer to the question

Answer:

I'm pretty sure it's 21 11/12. Don't get mad if I'm wrong

Step-by-step explanation:

-7 2/3 - 5 1/2 + 8 3/4

= -7 8/12 - 5 6/12 + 8 9/12

12 14/12 + 8 9/12

20 23/12

= 21 11/12

Answer:

He needs to sell at least 49 mugs.

Step-by-step explanation:

Since Ronny earned $228 and needs to earn more than $372, he needs to earn more than 372-228 = 144.

Since he sells a mug for $3 and needs more than $144, his earning must be greater than 144:

→ 3x > 144, x represents the number of coffee mugs

→ x > 48

→ x must be at least 49

Answer:

8.06/65

Step-by-step explanation:

4^2+7^2=8.06^2

16+49=65

Answer:

square root of 65

Step-by-step explanation:

4^2 + 7^2 = x^2

16+ 49= x^2

x^2 = 65

x= sqrt 65

Answer:

14

Step-by-step explanation:

.3a+.8=.5a-2

Subtract. 3a from both sides:

.8=.2a -2

Add 2 to both sides:

2.8=.2a

Multiply both sides by 5:

a=14

Hope this helps!

Answer:

a = 14

Step-by-step explanation:

.3a + .8 = .5a - 2

.3a - .5a = -2 - .8

-.2a = -2.8

a = -2.8/-.2

a = 14

Answer:

25 years old

Step-by-step explanation:

19+3=22

19+6=25

19+25+22=66

she is 25 years old

Answer:

116.6

Step-by-step explanation:

100^2 + 60^2 = c^2

1360 = c^2

square root of 1360 is 116.6

Answer:

Shortcut = 116.62

Step-by-step explanation:

Hypotenuse = [tex]\sqrt{a^{2} +b^{2} } = \sqrt{60^{2} +100^{2} } = 116.61904 = 116.62[/tex]