An equivalent ratio to the tape diagram shown is _ to _?​

The missing side of the right triangle is as follows:

a = 22.7 units

b = 10.6 units

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The sides a and b can be found using trigonometric ratios as follows:

Hence,

sin 25 = opposite / hypotenuse

sin 25° = b / 25

cross multiply

b = 25 sin 25

b = 25 × 0.42261826174

b = 10.5654565435

b = 10.6 units

cos 25 = adjacent / hypotenuse

cos 25 = a / 25

cross multiply

a = 25 cos 25

a = 22.6576946759

a = 22.7 units

learn more on right triangle here: https://brainly.com/question/29145634

#SPJ1

Answer:

25

Step-by-step explanation:

\(\frac{20}{1}*\frac{5}{4}\) multiply by the reciprocal to divide

25 cross cancel and multiply to get 25

Answer:

it is 80 degrees for first and then 105 degrees for second

Step-by-step explanation:

The measure of ∠BAC is 105°.

Given that, ∠DAC=(x-20)°=25° and ∠DAB=(2x-10)°.

The two angles are said to be adjacent angles when they share the common vertex and side.

Now, ∠DAC=(x-20)°=25°

⇒x=45°

So, ∠DAB=(2x-10)°=80°

Then ∠BAC=∠DAC+∠DAB=25°+80°=105°

Therefore, the measure of ∠BAC is 105°.

To learn more about the adjacent angles visit:

https://brainly.com/question/12838185.

#SPJ5

The required percentage yield for the reaction when theoretical yield and actual yield are given is calculated to be 85.5 %.  

The maximum mass that can be generated when a particular reaction occurs is referred to as theoretical yield.

Theoretical yield is given as mt = 9.23 g

The actual amount of product recovered is given as ma = 7.89 g

We must comprehend that in order to calculate the reaction's percent yield, we must divide the total amount of product recovered by the utmost amount that can be recovered. If we multiply by 100%, we can represent this fraction as a percentage.

Percentage yield = ma/mt × 100 = 7.89/9.23 × 100 = 85.5 %

To know more about reactions:

https://brainly.com/question/29191570

#SPJ4

The rate of change (slope) is -2.

To determine if the table of values describes a linear function, we need to check if there is a constant rate of change between any two points.

Using the first two points, we can find the rate of change (slope) as:

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

         = (8 - 10) / (6 - 5)

         = -2

Using the second two points, we can also find the rate of change as:

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

       = (6 - 8) / (7 - 6)

       = -2

Since both rates of change are the same, the table of values describes a linear function. The rate of change (slope) is -2.

To know more about slope visit:

https://brainly.com/question/3605446?

#SPJ1

The component d1 of the vector d obtained by solving Ld=b is 32.

Given the system of equations as below:

A = [3 -2 A]12 -9 21-3 0 13

[x y z] = [32 144 21]

We need to solve this system using LU decomposition where L has the form

L= [1 0 0]I21 1 0I32 I32 1

To solve this system using the LU decomposition method, follow these steps:

We find the lower and upper triangular matrices, L and U, as follows:

Step 1: Write the augmented matrix

[A | b] = [3 -2 A 32]12 -9 21 144-3 0 13 21

Step 2: Multiply R1 by (1/3) to make the leading coefficient 1.

[3 -2 A 32] -> [1 -2/3 A/3 32/3]12 -9 21 144-3 0 13 21

Step 3: Subtract R1 from R2 and R3 to get zeros in the first column of R2 and R3.

[1 -2/3 A/3 32/3]12 -9 21 144-3 0 13 21 [1 -2/3 A/3 32/3]0 -3/4 7 1040/3 2 13 19

Step 4: Multiply R2 by (-4/3) to make the leading coefficient 1.

[1 -2/3 A/3 32/3]

0 1 -28/12 -139/12[1 -2/3 A/3 32/3]0 -3/4 7 1040/3 2 13 19

Step 5: Add 2R2 to R3 to get a zero in the third row, second column. [1 -2/3 A/3 32/3]

0 1 -28/12 -139/12[0 1 -35/12 -67/12]0 0 49/4 145/4

Step 6: Rewrite the matrix in terms of L and U.

L = [1 0 0;-4/3 1 0;0 -35/12 1]

U = [3 -2 A;0 -3/4 7;0 0 49/4]

Step 7: Solve the lower triangular system Ly = b by forward substitution.

Ly = [32; 144; 21]

y1 = 32y2 -4/3 y1 + 144

= 0

=> y2 = 128/3y3 -35/12 y2 + 21/3 y1 + 21

= 0

=> y3 = -413/7

Therefore, y = [32; 128/3; -413/7]

Step 8: Solve the upper triangular system Ux = y by backward substitution.

Ux = [3 -2 A;0 -3/4 7;0 0 49/4]

x3(49/4) = -413/7

=> x3 = -169/49-2 x2 -169/49

x3 = 128/3

=> x2 = -1219/4413 x1 + 2 x2 -169/49 x3

= 32

=> x1 = -14332/441

Therefore, x = [-14332/441; -1219/441; -169/49]

Conclusion: From the above explanation, it is observed that the component d1 of the vector d obtained by solving Ld=b is 32.

To know more about vector visit

https://brainly.com/question/24486562

#SPJ11

The given system A can be solved using LU decomposition as follows:

To perform LU decomposition, perform Gaussian elimination on the matrix A to obtain the upper triangular matrix U, while keeping track of the multipliers used to perform the elimination to form the lower triangular matrix L.

In order to solve the system Ax = b,

we first solve the system Ld = b for the vector d,

where L is a lower triangular matrix.

Then we solve the system Ux = d for the vector x,

where U is an upper triangular matrix.

Let us perform Gaussian elimination on the matrix A as shown below:

[3 -2 A|32] [12 -9 21|144] [-3 0 13|21]→ [3 -2 A|32]  R2 = R2 - 4R1→ [0 -1 13|48]  R3 = R3 + R1→ [3 -2 A|32]  R3 = R3 + R1→ [0 -1 13|48]  R3 = R3 - 5R2→ [3 -2 A|32]  R1 = R1 - 3R2⇒[3 -2 A|32]  R2 = -R2d1

is the first component of d and can be obtained by solving the first equation of Ld = b as follows:

L11d1 = b1d1 = b1/L11

The first equation of Ld = b is given as below: L11d1 = b1

Substituting the value of L11 and b1 in the above equation, we get;

d1 = 32/3

Thus, the component d1 of the vector d obtained by solving Ld = b is 32/3.

Answer: d1 = 32/3

To know more about LU decomposition visit:

https://brainly.com/question/32248777

#SPJ11

Answer:

answer is rs 192100ra 395500

Answer:

No, it is not a irrational number

It will take Vincent 24 number of days to build the cubby house by himself.

Let's assume that Vincent can build the cubby house alone in h days.

From the given information, we know that Nadia takes 12 days to build the cubby house, and when Nadia and Vincent work together, they can finish it in 8 days.

We can use the concept of "work done" to solve this problem. The amount of work done is inversely proportional to the number of days taken.

Nadia's work rate is 1/12 of the cubby house per day, while the combined work rate of Nadia and Vincent is 1/8 of the cubby house per day.

When Nadia and Vincent work together, their combined work rate is the sum of their individual work rates:

1/8 = 1/12 + 1/h

To solve for h, we can rearrange the equation:

1/h = 1/8 - 1/12

1/h = (3 - 2) / 24

1/h = 1/24

Taking the reciprocal of both sides, we find:

h = 24

for more such questions on equation

https://brainly.com/question/17145398

#SPJ8

the exact length of the curve described by the given parametric equations is 84 units.

we can find the length of the curve by using the arc length formula for parametric curves. The arc length formula states that the length of a curve described by parametric equations x = f(t) and y = g(t) over the interval [a, b] is given by:  L = ∫\([a,b] √(f'(t)^2 + g'(t)^2) dt\)

In this case, we have x = 5t^2 and y = 9t^3, and the interval is 0 ≤ t ≤ 2. We need to find the derivative of x and y with respect to t to calculate the integrand.

Taking the derivatives, we have:

dx/dt = 10t

dy/dt = 27t^2

Now, we can substitute these derivatives into the integrand:

√\((f'(t)^2 + g'(t)^2)\)= √\(((10t)^2 + (27t^2)^2)\) = √\((100t^2 + 729t^4)\)

Integrating this expression with respect to t over the interval [0, 2], we have:

L = ∫[0,2] √\((100t^2 + 729t^4) dt\)

The integral can be challenging to solve analytically, so it is often evaluated using numerical methods or calculators. The result of the integral is approximately 84 units.

learn more about parametric equations here:

https://brainly.com/question/29275326

#SPJ11

The best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours

To answer the question, we need to know what a regression model is

A regression model is an equation or model that shows if there is a relationship between two variables.

Now, given that Yuki uses the regression model y = -2.8sin(0.65x + 120.2) + 12.2 to calculate the average number of sunlight hours per month, where x = 1 represents January.

Since we need to determine the average number of sunlight hours she can expect each day in June. Since June is the sixth month, we substitute x = 6 into the equation.

So, y = -2.8sin(0.65x + 120.2) + 12.2

y = -2.8sin(0.65(6) + 120.2) + 12.2

y = -2.8sin(3.9 + 120.2) + 12.2

y = -2.8sin(124.1) + 12.2

y = -2.8(0.8281) + 12.2

y = -2.32 + 12.2

y = 9.88

y ≅ 9.9

So, the best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours

Learn more about regression model here:

https://brainly.com/question/25987747

#SPJ1

Here are all the ways of halving a 4x4 pinboard to get two identical pieces, with lines that join 2 dots and must be straight.

Diagonal halving: This is the most obvious way to halve a 4x4 pinboard, and it can be done in two ways:

45-degree diagonal halving: This is the traditional way of halving a square, and it is done by drawing a line connecting the top-left and bottom-right dots, or the top-right and bottom-left dots.

Other diagonal halving: This is a less common way of halving a square, and it is done by drawing a line connecting any two opposite dots that are not diagonally adjacent.

Vertical halving: This can be done in two ways:

Vertical halving through center: This is done by drawing a line connecting the two center dots vertically.

Vertical halving through side dot: This is done by drawing a line connecting a side dot and the center dot on the opposite side.

Horizontal halving: This can be done in two ways:

Horizontal halving through center: This is done by drawing a line connecting the two center dots horizontally.

Horizontal halving through side dot: This is done by drawing a line connecting a side dot and the center dot on the opposite side.

In total, there are 6 ways of halving a 4x4 pinboard to get two identical pieces. These are the only possible ways, as any other line would either not divide the square in half, or would create two unequal pieces.

Learn more about having on

https://brainly.com/question/168482

#SPJ1

Answer:

d

Step-by-step explanation:

Answer:

Number of international passengers increased then decreased whereas the number of domestic passengers constantly increased

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

3x-6=12

   +6 +6

3x=18

3x/3= 18/3

x=6

Hope this helps!

Answer:

x=6

Steps

3x - 6 = 12

add 6 to both sides

3x - 6 + 6 = 12 + 6

simplify

3x = 18

Divide both sides by 3

3x/3 = 18/3

simplify

x=6

Answer:

m∠N = 72°

mNQ = 94°

Step-by-step explanation:

An inscribed angle is equal to half the measure of its intercepted arc

∠N is an inscribed angle and arc MP is it's intercepted arc

Thus, ∠N = 1/2 arc MP

if arc MP = 144

Then ∠N = 144/2

144/2 = 72

Hence, ∠N = 72°

For ∠P and arc NQ we are given the measure of the inscribed angle and need to find the measure of the intercepted arc.

If the measure of an inscribed angle equals half the measure of its intercepted arc, then the measure of the intercepted arc equals twice the measure of the inscribed angle.

Thus, arc mNQ = 2(∠P)

If ∠P = 47, then mNQ = 2(47)

2 * 47 = 94

Hence, mNQ = 94

Answer:

good i think

Step-by-step explanation:

Answer:

(-14/6) and (2/4) are standard form

Answer:

25.50

Step-by-step explanation:

25.51

If you look at the 1, you can see it is below 5, therefore, you round down. If you round down, it is 25.50

One Decimal Place Rule #1: If the last digit in 25.51 is less than 5, then remove the last digit.

One Decimal Place Rule #2: If the last digit in 25.51 is 5 or more and the second to the last digit in 25.51 is less than 9, then remove the last digit and add 1 to the second to the last digit.

One Decimal Place Rule #3: If the last digit in 25.51 is 5 or more and the second to the last digit in 25.51 is 9, then remove the last digit, make the second to last digit 0, and add 1 to the number to the left of the decimal place.

When rounding 25.51 to one decimal place we use One Decimal Place Rule #1. Therefore, the answer to "What is 25.51 rounded to 1 decimal place?" is: 25.50

Answer:

d. $50,499

Step-by-step explanation:

Given:

S = 40,000 (1.06)^t

Where,

t=4 years

S=40,000(1.06)^4

=40,000(1.26247696)

=50,499.0784

To the nearest dollar

S=$50,499

The answer is d. $50,499

Answer: slope intercept is y=mx+b

standard form is Ax+By=C.

point slope form is y-y₁=m(x-x₁)

so y=2/3x+2 is slope intercept

Answer:

+Slope-intercept is... y=mx+b

+The standard form is... Ax+By=C.

+A point-slope form is... y-y₁=m(x-x₁)

+So... y= x+2 is... slope-intercept

 ❤ I hope this helps you, ma'am/sir/whatever your pronouns are! ❤

Answer:

17

Step-by-step explanation:

use PEMDAS but it’s 17

Answer:

Simplifying

12 + -1[2 + 6 + (10 + -23)] = 0

Step-by-step explanation:

Answer:

set of even counting number is well-defined

Answer:

598-x=78

x=598-78

=520

Answer:

The constant of proportionality is 15/10 = 1.5.

The answer is 1.5.

The reason is because

10 x 1.5 = 15,

20 x 1.5 = 30,

30 x 1.5 = 45.

Mark me Brainliest. :)

Answer:

The discount is 36% off

Step-by-step explanation:

The total area of the pyramid is (24√3 + 72) square units or 113.57 square units.

A hexagonal pyramid is a 3D design in which the base is hexagonal and the faces or sides are isosceles triangles, which come together to form the hexagonal pyramid at the summit of the pyramid. A hexagonal pyramid has six sides on the base and six isosceles triangles on the sides.

Given a hexagonal pyramid,

base length = 4

slant height = 6

area of pyramid = sum of the area of the base to the lateral area

area of pyramid = A(base) + A(lateral)

Area of base = 3√3/2*(a²)

a = base length = 4

Area of base = 3√3/2*(4²)

Area of base = 24√3 square units

now lateral area or area of triangular faces,

lateral area = 6*1/2*b*h

h = height of triangle = 6

b = base of triangle = 4

lateral area = 6*1/2*4*6

lateral area = 72 square units

total area =  A(base) + A(lateral)

total area = (24√3 + 72) square units

Total area = 113.57 square units.

Hence the area of the pyramid is (24√3 + 72) square units or 113.57 square units.

Learn more about hexagonal pyramids;

https://brainly.com/question/29713978

#SPJ1