Find the volume of the shape.

Answer:

x =53.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adjacent side

tan x = 28 /21

Take the inverse tan of each side

tan ^-1 (tan x) = tan ^-1 (28/21)

x = 53.13010235

Rounding to the nearest tenth

x =53.1

Answer:

I need to know what the radius or diameter is to answer this question

If for example, you were given y = 2(x-3)^2 + 5, then the vertex is (3,5)

As another example, the equation y = 7(x+1)^2 + 10 has the vertex (-1,10)

The general vertex form is y = a(x-h)^2 + k with the vertex (h,k)

Answer:

(-h,k)

Step-by-step explanation:

vertex form:

y＝a(x-h)^2+k

switch sign of h and you get the x

keep sign of k and you get y

ex- 3(x-5)+7

vertex＝（5,7）

Answer:

19

Step-by-step explanation:

-9b -5 -7b = -309

-16b - 5 = -309

16b = 309 - 5

16b = 304

b = 304 ÷ 16

b = 19

Answer:

the relationship between these two angle is they r straight angle.

hope it helps

Step-by-step explanation:

3x+4+101=180

3x+105=180

3x=180-105

3x=75

x=75/3

x=25

we can say it supplemantary angle or straight angle.

hope it helps

have a good and take care.✌✌

Answer:

B (-4)(3) + (-4)(1/4)

Step-by-step explanation:

We must find the product of -4 and 3 1/4, which is (-4)(3 1/4). We know that 3 1/4 = 3 + 1/4, so we substitute that to the expression we want.

(-4)(3 1/4) = (-4)(3 + 1/4)

Using the distributive property, we distribute the -4 to the 3 and the 1/4 and the expression becomes

(-4)(3 + 1/4) = (-4)(3) + (-4)(1/4)

I hope this helps! :)

9514 1404 393

Answer:

  (x, y) = (-7, 5)

Step-by-step explanation:

I find a graphing calculator to be useful for solving equations by graphing. The graph shows the solution to be ...

  (x, y) = (-7, 5)

__

In these equations, the y-coefficients are the same, so we can eliminate y by subtracting the first equation from the second.

  (4x -6y) -(-2x -6y) = (-58) -(-16)

  6x = -42 . . . . . . . . . simplify

  x = -7 . . . . . . . . divide by 6

Substituting into the first equation gives ...

  -2(-7) -6y = -16

  6y = 30 . . . . . . . . . . add 16+6y to both sides

  y = 5 . . . . . . . . .divide by 6

The solution is (x, y) = (-7, 5).

Answer:

for perimeter you add all sides. so Lenth x2 + width x2 is 24+30 which would equal 54

for area it's Lenth times width so 12 times 15 equals 156

Answer:

First image:

C, D, and E are true.

Second image:

30 tbsp

Step-by-step explanation:

1 cup = 8 ounces

A is false.

1 quart = 4 cups

7 qt = 28 cups

28 + 4 = 32

32 < 34

B is false.

1 gallon = 8 pints

4 gallons = 32 pints

31 < 32

C is true.

1 gallon = 4 quarts

5 gallons = 20 quarts

20 < 21

D is true.

1 quart = 2 pints

15 quarts = 30 pints

30 = 30

1 ounce = 2 tablespoons

15 ounces = y tablespoons

[tex]\frac{1}{2}: \frac{15}{y}[/tex]

1 × y = 15 × 2

y = 30

30 tbsp

x = 2

Step-by-step explanation:

Since sides have the same base (7), then we can simply write

[tex] {x}^{2} + 11 = 15[/tex]

[tex] {x}^{2} = 4[/tex]

or

[tex]x = 2[/tex]

the answer would be A.) C+15

Answer:

27%

Step-by-step explanation:

divide 6 by 22. you get .27 and then you move the decimal point to the right twice

Answer:

27%

Step-by-step explanation:

six divided by twenty two is 0.272, which is 27%

Answer:

[tex]p=0.5[/tex]

Step-by-step explanation:

A standard die has six numbers (1 through 6). That means there is a 1/6 probability of rolling any one number. There is a 3/6 probability of rolling one of the selected numbers which simplifies to 1/2 or 0.50

= x² - 4x + 58 - 23 = 0

= x² - 4x + 35 = 0

Sorry but it cann't be solved more futher.

= 16 × 2 + 56 + 2√4

= 32 + 56 + 2√4

= 88 + 2√4

The minimum sum-of-products expression for the given Boolean function is x₁[x₂'x₃' + x₂'x₄' + x₂x₄] .

To find the minimum sum-of-products expression for the given Boolean function, we can use algebraic manipulation techniques, including Boolean algebra laws and Karnaugh maps.

Let's start with the given expression:

F = x₁x₂'x₃' + x₁x₂x₄ + x₁x₂'x₃x₄'

F = x₁[x₂'x₃' + x₂x₄ + x₂'x₃x₄']

F = x₁[x₂'(x₃' + x₃x₄') + x₂x₄]       ....(1)

As we know that the Boolean rule as:

a + bc = (a + b)(a + c)

a' + a = 1

As per the equation (1),

F = x₁[x₂'{(x₃' + x₃)(x₃'+x₄') + x₂x₄]  

F = x₁[x₂'x₃' + x₂'x₄' + x₂x₄]  

Thus, the minimum sum-of-products expression for the given Boolean function is x₁[x₂'x₃' + x₂'x₄' + x₂x₄] .

Learn more about the Boolean function here:

https://brainly.com/question/32616360

#SPJ12

Answer:

a) Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .

probability distribution of outcomes

= (3/14*3/14),  (3/14*4/14),  (3/14*4/14),  (3/14*3/14),  (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14),  (4/14 * 3/14 ),  ( 4/14 *4/14 ),  (4/14*3/14),  ( 4/14 *4/14 ),  

(4/14*3/14),   (3/14 *3/14 ), (3/14*3/14),  (3/14 *4/14 ), ( 3/14 * 4/14 )

b)  0.0459

c) ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )

Step-by-step explanation:

Total number of balls = 3 + 4 + 4 + 3 = 14 balls

3 Red balls = 3/14

4 blue balls  = 4/14

4 green balls = 4/14

3 yellow balls = 3/14

a) Determine the sample space and probability distribution of outcomes

since ball is drawn with replacement

Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .

i.e. The sample space has 16 possible combination

probability distribution of outcomes

= (3/14*3/14),  (3/14*4/14),  (3/14*4/14),  (3/14*3/14),  (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14),  (4/14 * 3/14 ),  ( 4/14 *4/14 ),  (4/14*3/14),  ( 4/14 *4/14 ),  

(4/14*3/14),   (3/14 *3/14 ), (3/14*3/14),  (3/14 *4/14 ), ( 3/14 * 4/14 )

b) Determine  P( R and R )

P ( R and R ) = 3/14 * 3/14

                    = 9/196 =  0.0459

C) Determine probability of drawing two different balls

P( R and B ) + P ( R and G ) + P ( R and Y ) + ------ P ( Y and G )

= ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )

Answer:

28 minutes

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

so it is 28 minutes

Step-by-step explanation:

Step-by-step explanation:

It's an intercept graph

Answer:

y = 7.

Step-by-step explanation:

The work for this is in the attachment. Since WXY = ZOP, then sides OP and XY are congruent.

Therefore, you can use XY on the other side of the equal sign to figure out the variable.

Answer:

N'(9, -1)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation include translation, reflection, rotation and dilation.

Reflection is the flipping of an object over the line of reflection. If the point A(x, y) is reflected over the line x = a, the y coordinate would remain but the x coordinate will change.

The vertices of figure KLMN are K(−2, −1), L(−2, −3), M(−5, −3), and N(−5, −1). If figure KLMN is reflected across the line x = 2, the new points would be at:

K'(6, -1), L'(6, -3), M'(9, -3) and N'(9, -1)

Answer:

value of 4 in 543007 is 40,000 bc it falls in the 10,000 spot.

Answer:

I dont know

Step-by-step explanation:

Answer:

Maybe. But look at me, I have two F's and all D's in the last quarter when I had A's a B's and one C for the 1st, 2nd, and 3rd quarter. I am going to get kicked out if I have ONE F. Yay.... :,)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

it would be d because that's where the 3 is in the y axis

Answer:

A

Step-by-step explanation:

Graph A shows the parabola intersecting the x-axis at 1 and 3. Which are the solutions to the equation when you solve it by factoring, using the quadratic formula, the PQ formula, or completing the square.

Answer:

35i+13j

Step-by-step explanation:

Vector a = 9i+9j

Vector b = -4i+7j

We need to find the value of 3a-2b.

3a = 3(9i+9j) = 27i+27j

2b = 2(-4i+7j) = -8i+14j

3a-2b = 27i+27j-(-8i+14j)

= 27i+27j+8i-14j

= 35i+13j

Hence, the required vector is equal to 35i+13j.

Answer:12 yes 14 no 16 yes

Step-by-step explanation:its hard to explain

just plug the value in

12.

17 + 5 < 13

22 < 13

false

14.

10/2>6

5>6

false, you are correct

16.

-5 =< 0

it just has to be less OR equal

so it's true, it is a solution

In order to use the fundamental theorem of line integrals, you need to find a scalar potential function - that is, a scalar function f(x, y) for which

grad f(x, y) = F(x, y)

This amounts to solving for f such that

∂f/dx = x + 3

∂f/∂y = 6y + 3

Integrating both sides of the first equation with respect to x gives

f = 1/2 x ^2 + 3x + g(y)

Differentiating with respect to y gives

∂f/∂y = dg/dy = 6y + 3

Solving for g gives

g = ∫ (6y + 3) dy = 3y ^2 + 3y + C

and hence

f(x, y) = 1/2 x ^2 + 3x + 3y ^2 + 3y + C

(a) By the fundamental theorem, the integral of F along any path starting at the point P (1, 0) and ending at Q (3, 3) is

∫ F(x, y) • dr = f (3, 3) - f (1, 0) = 99/2 - 7/2 = 46

(b) Now we're talking about a closed path, so the integral is simply 0. We can verify this by checking the integral over the origin-containing paths:

• From the origin to P :

∫ F(x, y) • dr = f (1, 0) - f (0, 0) = 7/2 - 0 = 7/2

• From Q back to the origin:

∫ F(x, y) • dr = f (0, 0) - f (3, 3) = 0 - 99/2 = -99/2

Then the total integral is 7/2 + 46 - 99/2 = 0, as expected.

Step-by-step explanation:

7 + 2x + 3 = x + 10

2x - x = 10 - 7 - 3

x = 0

What?

I don't think this helps...

Answer:

x = 0.

Step-by-step explanation:

The distance between  the point U and W are x + 10 and 2x + 3 + 7 so we can make the following equation:

x + 10 = 2x + 3 + 7

x + 10 = 2x + 10

Subtract 10 from both sides:

x = 2x

Subtract x from both sides:

0 = x

x = 0

Answer:

mEOP is 29°

Step-by-step explanation:

mHOP is 48° and mHOE is 19°, so to get the missing angle you subtract the smaller value from the total to get 29°

- 19-48=29

Answer:

5196

Step-by-step explanation:

So it's 5040+(-156)

We have to find the absolute value

|-156|=156

5040+156=5196

Answer:

5196 m

Step-by-step explanation:

The sea is level = 0

If Punack Jaya, is 5040 m above sea level then it would be = + 5040 m

If Lake Assal is 156 m below sea level then it would be = - 156 m

The difference between the two elevations:

= 5040 - (-156)

= 5040 + 156 --> two negatives create a positive

= 5196 m