4/3 ÷21/5 what is this answer​

Answer:

Answer. c

Step-by-step explanation:

Answer: its c

Step-by-step explanation:

Using trigonometric ratio, the height of the tree is 70 feet

The angle of elevation is the angle between the horizontal plane and the line of sight when an observer looks upward to see an object. It is typically measured in degrees and is used in geometry and trigonometry to calculate the height of an object or the distance between two objects.

Using trigonometric ratio, we can use the tangent of the angle to find the height of the tree.

tan θ = opposite / adjacent

tan 70 = x / 25

x = 25tan70

x = 68.7 ft≅ 70 feet

The height of the tree is 70 feet

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Answer:

a=2 and b=2...............

Step-by-step explanation:

(i) Sum the forces at point M in the x direction.

∑F = ma

-T sin 30° − T sin 30° + 5 N = 0

2T sin 30° = 5 N

T = 5 N

(ii) Sum the forces on the ring in the x direction.

∑F = ma

T sin 30° − N = 0

N = 2.5 N

Sum the forces on the ring in the y direction.

∑F = ma

T cos 30° − mg − Nμ = 0

Nμ = T cos 30° − mg

2.5 μ = 5 cos 30° − 2

μ = 0.932

(iii) Sum the forces on the ring in the y direction.

∑F = ma

T cos 30° − m₁g − m₂g + Nμ = 0

m₂g = T cos 30° − m₁g + Nμ

m (10) = 5 cos 30° − 2 + (2.5)(0.932)

m = 0.466 kg

Answer:

56 ...

Step-by-step explanation:

70-14 = 56

Since it’s the sum of their age it’s just jiri’s age plus Pamela’s so you just subtract Pamela’s age from the total sum. And that would make jiri 56. (Sum means the total from adding) So if you do the problem over again. “The sum of 56 and 14” it would take you back to the question you have now. This is inverse addition.

Answer:42

Step-by-step explanation: you split 70 in half, 35 and 35. Then you add 7 to one (Jiri) and subtract 7 from one(Pamela). You get 42 and 28. To check you do 42-28=14 and 42+28=70.

Answer:

$12

Step-by-step explanation:

Hi there!

What we know:

Therefore, 8 × (cost of 1 bag) - 5 = 91

Form an equation with x as the cost of 1 bag of dog food:

8 × (cost of 1 bag) - 5 = 91

\(8x-5=91\)

Add 5 to both sides

\(8x-5+5=91+5\\8x=96\\\)

Divide both sides by 8

\(\frac{8x}{8} = \frac{96}{8} \\x=12\)

Therefore, 1 bag of dog food costs $12.

I hope this helps!

If Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

To show that x is also an eigenvector of QT, we need to demonstrate that QT * x is a scalar multiple of x.

Given that Q is an orthogonal matrix, we know that QT * Q = I, where I is the identity matrix. This implies that Q * QT = I as well.

Let's denote x as the eigenvector corresponding to the eigenvalue λ1 This means that Q * x = λ1 * x.

Now, let's consider QT * x. We can multiply both sides of the equation Q * x = λ1 * x by QT:

QT * (Q * x) = QT * (λ1 * x)

Applying the associative property of matrix multiplication, we have:

(QT * Q) * x = λ1 * (QT * x)

Using the fact that Q * QT = I, we can simplify further:

I * x = λ1 * (QT * x)

Since I * x equals x, we have:

x = λ1 * (QT * x)

Now, notice that λ1 * (QT * x) is a scalar multiple of x, where the scalar is λ1. Therefore, we can rewrite the equation as:

x = λ2 * x

where λ2 = λ1 * (QT * x).

This shows that x is indeed an eigenvector of QT, with the eigenvalue λ2 = λ1 * (QT * x).

In conclusion, if Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

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The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the sine of angle 41°

sin 41° = 2.5/x {opposite/hypotenuse}

x = 2.5/sin 41° {cross multiplication}

x = 3.8106

Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

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The probabilities for this problem are given as follows:

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of the commute times are given as follows:

\(\mu = 25, \sigma = 6.1\)

The probability that the time is more than 31 minutes is one subtracted by the p-value of Z when X = 31, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (31 - 25)/6.1

Z = 0.98

Z = 0.98 has a p-value of 0.8365.

1 - 0.8365 = 0.1635 = 16.35%.

The probability that the time is less than 8 minutes is the p-value of Z when X = 8, hence:

Z = (8 - 25)/6.1

Z = -2.79

Z = -2.79 has a p-value of 0.0026.

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Answer: -3, 0

Step-by-step explanation:

If a line segment with endpoints (0,−3) and (0,−7) is rotated 90° clockwise, an endpoint of this rotated segment is (-3, 0) and (-7, 0).

In Mathematics and Geometry, a rotation is a type of transformation that moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying either a rotation of 90° clockwise or a rotation of 270° counterclockwise to the coordinate of this line segment with endpoints (0,−3) and (0,−7), the coordinate of its image;

(x, y)                            →            (y, -x)

Point (0,−3)          →     Point (-3, 0)

Point (0, -7)          →     Point (-7, 0)

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Answer:

I don't really know what you were asking

Answer:

0.75 U.S. dollars

Step-by-step explanation:

Answer: seventy-five cents

Answer:

a

Step-by-step explanation:

the answer is a

√192=13.85.....

8√3= 13.85

answer is a

Answer:

Step-by-step explanation:

25

The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14

From the question, we have the following ordered pairs

x intercepts = (6,0) and (18, 0)

Vertex = (12, -36)

Points (21, 41.25)

The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is the calculated using

m = [f(21) - f(18)]/[21 - 18]

This becomes

m = [f(21) - f(18)]/3

Substitute the known values in the above equation

m = [41.25 - 0]/3

Evaluate the difference

m = 41.25/3

Evaluate the quotient

m = 13.75

Approximate

m=14

Hence, the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14

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Complete question

The graph below shows the value of Edna's profits f(t), in dollars, after t months:

What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?

See attachment for graph

Answer:

FH = 35.64

Step-by-step explanation:

(∠A = 360 so the other angle is 40)

By law of cosines,

FH² = AH² + FA² - 2(AH)(FA) * cos(A)

= 30² + 25² - 2(30)(25) * cos(80)

= 900 + 625 - 1500 * 0.17

= 1525 - 255

FH²  = 1270

FH = √1270

FH = 35.64

Answer:

1. Given

2. Subtraction property of Equality

3. Division property of Equality

I hope I helped you^_^

To graph the parametric path x = t^2, y = (t - 1)(t^2 - 4) on a Slope-Direction diagram, we need to plot points by evaluating the expressions for different values of t within the given interval [-3, 3].

First, let's calculate the coordinates for several values of t:

For \(t = -3: x = 9, y = 0\)

For\(t = -2: x = 4, y = 6\)

For \(t = -1: x = 1, y = 0\)

For \(t = 0: x = 0, y = -4\)

For\(t = 1: x = 1, y = 0\)

For\(t = 2: x = 4, y = 6\)

For \(t = 3: x = 9, y = 0\)

Plotting these points on the Slope-Direction diagram, we can observe the shape of the curve. The path starts at (9, 0), moves downward to (4, 6), reaches the lowest point at (0, -4), and then goes back up to (4, 6) and (9, 0).

To find the length of the curve given by (2cost - cost2t, 2sint - sin2t) over the interval 0 ≤ t ≤ π/2, we can use the arc length formula:

L = ∫√(dx/dt)² + (dy/dt)² dt

First, calculate the derivatives of x and y with respect to t:

dx/dt = -2cost - 2costsin2t

dy/dt = 2cost - 2sintcos2t

Next, square and add these derivatives:

(dx/dt)² + (dy/dt)² = 4cost² + 4costsin2t + 4cost² + 4sint²cos²2t

Simplify the expression:

(dx/dt)² + (dy/dt)² = 8cost² + 4costsin2t + 4sint²cos²2t

Now, integrate the square root of this expression over the given interval 0 ≤ t ≤ π/2 to find the length of the curve:

L = ∫√(8cost² + 4costsin2t + 4sint²cos²2t) dt, from 0 to π/2

Evaluating this integral will provide the final answer for the length of the curve.

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Answer:

360 naira hope its help

Step-by-step explanation:

brainliest me

The expressions which are found greater than 1 are-

It is described as the blending of mathematical operators, constants, and variables.

Expressions' worth can be summed up as,

1) 5 ÷ 9/10 = 5.5555

2)3/5 ÷ 6 = 0.1

3)4/5 ÷ 3/7 = 1.888

4)2 3/5 ÷ 1 3/5 = 1.625

5)12/5 ÷ 13/5 = 0.923

Thus, the expressions which are found greater than 1 are-

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The complete question is-

Select all the expressions that are greater than 1.

Group of answer choices

5 ÷ 9/10

3/5 ÷ 6

4/5 ÷ 3/7

2 3/5 ÷ 1 3/5

12/5 ÷ 13/5

Answer:

approximately 254.5

btw area of circle= pi multiplied by radius

Step-by-step explanation: I got you bro

Answer: Circle area = π * r² = π * 81 [inch²] ≈ 254.47 [in²]

but because it asks for nearest tenth

254.5 in²

this is your real answer

Answer:

simple interest=$97.50.

compound interest= $100.668

Step-by-step explanation:

Given:

Principal (P) = $750

Rate (R) = 6.5% (in decimal form, 0.065)

Time (T) = 2 years

Simple Interest = Principal*Rate*Time

Using the formula, the simple interest is calculated as follows:

Simple Interest = $750*0.065*2 = $97.50

Therefore, the simple interest for $750 with a 6.5% interest rate over 2 years is $97.50.

Again:

Compound Interest = Principal*(1 + Rate)^(Time)-Principal

Using the same values as above, the compound interest can be calculated as follows:

Compound Interest = $750*(1+0.065)^(2)-$750

= $750*1.065^2 -$750

= $750 × 1.134225 - $750

= $850.66875-$750

= $100.668

Therefore, the compound interest for $750 with a 6.5% interest rate over 2 years is $100.668

Answer:

A) 360

B) 360

Step-by-step explanation:

Part A)

Given that there are a total of 6 people and 4 person subcommittee is to be selected.

Number of ways to select 1st person = 6

Now, 1 person is selected, total persons left are 5

Number of ways to select 2nd person = 5

Now, 1 person is selected, total persons left are 4

Number of ways to select 3rd person = 4

Now, 1 person is selected, total persons left are 3

Number of ways to select 4th person = 3

So, total number of ways = 6\(\times\)5\(\times\)4\(\times\)3 = 360

Part B)

Given that there are a total of 6 people in the committee

Number of ways to select president  = 6

Now, 1 person is selected, total persons left are 5

Number of ways to select vice president = 5

Now, 1 person is selected, total persons left are 4

Number of ways to select secretary = 4

Now, 1 person is selected, total persons left are 3

Number of ways to select treasurer = 3

So, total number of ways = 6\(\times\)5\(\times\)4\(\times\)3 = 360

The correct option is C. P, J : 9 units from this origin, points are on the axes.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane.

Other coordinate types include:

Thus, Points P, J are 9 units from this origin which lies on the negative x axis and negative y axis respectively.

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Complete question is-

Which points are on the axes 9 units from the origin?

A.

D, Z, L

B.

L, P

C.

P, J

D.

J, E

The graph the question is attached.

Answer:

-241920

Step-by-step explanation:

negative × negative = positive

10 × 4 = 40

40 × -1 = -40

-40 × 7 = -280

-280 × 2 = -560

-560 × 6 = -3360

-3360 × 4 = -13440

-13440 × 3 = -40320

-40320 × 2 = -80640

-80640 × 3 = -241920

Answer:

$24,992

Step-by-step explanation:

The equation for simple interest is I = PRT where I is the interest earned, P is the principal deposited/borrowed, R is the rate as a decimal, and T is time in years.

I = (17,600)(0.084)(5)

I = 7,392

The total amount that must be repaid is the interest + the principal:

7,392 + 17,600 = 24,992

Please let me know if you have questions

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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Answer:

Step-by-step explanation:

(4x8)+(3x5) = 32+15 = 47^2cm

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

The required answers are

1. f(-8) = 23

2. g(-2)= 18

3. h(2/3)= 9

4. h(5) + g(9) = -15

5. 1 - 2 f{(8/9)} = 61/3

6. If f(x) = -7,  x = 12

7. If h(x) = 48,  x = 11/3

8. f(-8c + 2) = 12c + 8

9. g(y-8) = y^2 - 23y  + 120

In mathematics, a function is an expression, rule, law that defines a relationship between one variable (the independent variable) and other variable (dependent variable).

Now the given function is,

f(x)= -3/2x+11,

g(x)=x^2-7x , and

h(x)=|15-9x|

1. f(-8)

Put x = -8 in f(x) we get,

f(-8) = -3/2*(-8) + 11

or f(-8) = 12 + 11

or, f(-8) = 23

2. g(-2)

Put g = -2 in g(x) we get,

g(-2)=(-2)^2-7 (-2)

or, g(-2)= 4 + 14

or, g(-2)= 18

3. h(2/3)

Put x = 2/3 in h(x) we get,

h(x) = |15 - 9(2/3)|

or, h(2/3)= |15 - 18/3|

or, h(2/3)= |15 - 6|

or, h(2/3)= |9|

or, h(2/3)= 9

4. h(5) + g(9)

Put x =5 in h(x) and x = 9 in g(x) we get,

h(5) + g(9) = |15-9(5)| + 9^2-7(9)

or, h(5) + g(9) = |-30| + (-45)

or, h(5) + g(9) = 30 -45

or, h(5) + g(9) = -15

5. 1 - 2 f{(8/9)}

Put x = 8/9 in f(x) we get,

f(8/9) = (-3/2)(8/9) + 11

or, f(8/9) =  (-4/3) + 11

or, f(8/9) = -29/3

⇒ 1 - 2 f{(8/9)} = 1 - 2(-29/3)

or, 1 - 2 f{(8/9)} = 1 + 58/3

or, 1 - 2 f{(8/9)} = 61/3

6. If f(x) = -7, then

⇒ -3/2x+11 = -7

or, -3/2x = -7 - 11

or, -3/2x = -18

or, x = 12

So If f(x) = -7,  x = 12

7. If h(x) = 48, then

⇒  |15-9x| = 48

⇒  15 - 9x = 48

⇒  - 9x = 33

or, x = 33/9

or, x = 11/3

So If h(x) = 48,  x = 11/3

8. f(-8c + 2)

Put x = -8c + 2 in f(x) we get,

f(-8c + 2) = (-3/2)( -8c + 2) + 11

or, f(-8c + 2) = (3)(4c - 1) + 11

or, f(-8c + 2) = 12c - 3 + 11

or, f(-8c + 2) = 12c + 8

9. g(y-8)

Put x = y-8 in g(x) we get,

g(y-8) = (y-8)^2 - 7(y-8)

or, g(y-8) = y^2 + 64 - 16y - 7y + 56

or, g(y-8) = y^2 - 23y  + 120

Hence,The required answers are

1. f(-8) = 23

2. g(-2)= 18

3. h(2/3)= 9

4. h(5) + g(9) = -15

5. 1 - 2 f{(8/9)} = 61/3

6. If f(x) = -7,  x = 12

7. If h(x) = 48,  x = 11/3

8. f(-8c + 2) = 12c + 8

9. g(y-8) = y^2 - 23y  + 120

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