Find the value of the variable to the nearest tenth.

Answer: 160

Step-by-step explanation:

So first you start by making the percent which is 20 a decimal (.20) . Then , you multiplu .20 by 800 and get 160 , or if you know 10% is 80 2 times that would be 20 percent . And 80 plus 80 is 160 .

The equation of the given sine graph is gotten as; y = 4 sin [(0.4(x + 2.5)] - 1

We know that the  general formula for equation of a sine graph is;

y = A sin [(B(x - D)] + C

where;

A is Amplitude

Period = 2π/B.

Phase Shift = -C/B.

Vertical Shift = D.

From the graph;

A = 4

B = 2π/5π = 2/5

C = -1

D = -5/2

Thus;

y = 4 sin [(0.4(x + 2.5)] - 1

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Answer:

\(44\)

Step-by-step explanation:

Formulate equation/expression:

\(22 \times 10 \div 5\)

Calculate:

\( \frac{22 \times10 }{5} \)

Reduce the fraction:

\(22 \times 2\)

Calculate the product or quotient:

\(44\)

Answer:

2.76

Step-by-step explanation:

Z - 2.3 = 0.46

Z = 0.46 + 2.3

Z = 2.76

Thus, The value of Z is 2.76

-TheUnknownScientist

The circumference of a circle with diameter of 42 cm is 131.88 cm

The circumference of a circle of diameter 3.5 cm is 11 cm.

The circumference of a circle of diameter 42 cm can be found as follows:

Therefore,

circumference of a circle = 2πr

where

Hence,

diameter = 42 cm

radius = 42 / 2

radius = 21 cm

circumference of a circle = 2 × 3.14 × 21

circumference of a circle = 42 × 3.14

circumference of a circle = 131.88 cm

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Answer:

No, a triangle cannot be created with these measurement.

Step-by-step explanation:

It must follow these rules:

a + b > c

b + c > a

a + c > b

Answer:

Yes it does looks correct

Answer:its right good job

The probability that you will be satisfied with 3 or more of the purchased products is 0.916

Given that,

The chance of being pleased with an internet purchase is 0.555. if you purchase 8 items online

Solution -

let  X denote the no of success of

Purchased product online

X ~ B(n,p)

n = 8

P= 0. 555

a = 1 - 0 .555 = 0.445

P ( X = x) = \(nc_{x} b^{x} a^{n-x}\)

P ( X = x)= \(8c_{x} (0.555^{x} )(0.445)^{8-x\)

P ( X>=3)= \(\lim_{3 \to 8} 8c_{x} (0.555^{x} )(0.445)^{8-x\)

P ( X>=3)) = 0.91614

                 =0.916

Therefore we can conclude the probability that you will be satisfied with 3 or more of the purchased products is 0.916

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Answer:

578 sq ft

Step-by-step explanation:

he length of a rectangular garden is twice its width and its area is 578 square feet.

The optimal solution, obtained through graphical method, is: x₁ = 4, x₂ = 2, with the maximum value of Z = 80.

To solve the given linear programming problem graphically, we start by plotting the feasible region defined by the constraints:

Constraint 1: 10x₁ + 20x₂ ≤ 120

Constraint 2: 8x₁ + 8x₂ ≤ 80

Non-negativity constraint: x₁ ≥ 0, x₂ ≥ 0

The feasible region is the area of the graph that satisfies all the constraints.

Next, we calculate the objective function Z = 12x₁ + 16x₂. We plot the objective function as a line on the graph.

The optimal solution, which maximizes Z, is the point where the objective function line intersects the boundary of the feasible region.

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Answer:c

Step-by-step explanation:

(a) The maximum distance from O to XY that allows students to see corners B and C at the same time is 2.68 meters.

(b) The minimum width of the mirror required for the student to see corners B and C at the same time when standing in the center of the room, with a distance of 2.2 meters from O to XY, is 1.52 meters.

Therefore, angle OZB should be equal to angle OZC. Considering the geometry of the problem, we can use similar triangles to calculate the length of OZ. By dividing the length of AD (6m) into two equal segments, we get a length of 3m. Using the properties of similar triangles, we can set up the following equation:

4.4 / OZ = 3 / (6 - OZ)

Solving this equation, we find OZ to be approximately 2.68 meters.

1.6 / OZ = 3 / (6 - OZ)

By substituting the known values, we can solve for OZ, which gives us a value of approximately 3.42 meters. To find the minimum width of the mirror, we subtract OZ from 6 meters (the length of AD) and then multiply it by 2, since the width of the mirror extends on both sides. Thus, the minimum width of the mirror is 1.52 meters.

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Answer:

False.

Step-by-step explanation:

A triangle's two smaller sides have to add to be bigger than the larger side.

Answer:

False, that cannot exist by the hypotenuse rule

Hope it helps!

Answers:

\(\sqrt[c]{a^b}\)

\((\sqrt[c]{a})^b\)

Answer:

first 1 last 1 third 1 and forth 1

Step-by-step explanation:

Answer:

B)

Step-by-step explanation:

Because it can't be a because if you wanna get P it is 20/16 not 1 /12

Answer:

msrk the side BC and DF that way it will be SAS axiom

Answer:

3/2

Explanation:

To divide by a fraction multiply by the reciprocal of that fraction

9/10×5/3

reduce the numbers with greatest common factor 3

3/10×5

reduce the numbers with the greatest common factor of 5

3/2 is your answer

The fraction 9/10 divided by 3/5, in simplest form, is 3/2.

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 3/5 is 5/3.

So, we have:

(9/10) ÷ (3/5) = (9/10) x (5/3)

Next, we multiply the numerators and denominators:

= (9 x 5) / (10 x 3)

= 45/30

To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 15:

= (45/15) / (30/15)

= 3/2

Therefore, 9/10 divided by 3/5, in simplest form, is 3/2.

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Answer:

he should have gotton 2/4 or 1/2

Step-by-step explanation:

Answer:

a=10.8; c=4.3

Step-by-step explanation:

The sum of all the angles in a triangle is 180 degrees.

Two of the angles are given as 40 deg and 120 deg.

Subtract the measures of both from the sum to get the last angle:

180-40-120=20; ∠C=20°

Using Law of Sines: \(\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}\)

\(\frac{a}{sin120}=\frac{8}{sin40}; a=\frac{8*sin120}{sin40}; a=10.77837084\)

\(\frac{c}{sin20}=\frac{8}{sin40}; a=\frac{8*sin20}{sin40}; c=4.25671109\)

Answer:

c=20 a=10.8 c=4.3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If you multiply 8 times 3 you’ll get 24

Answer:

Step-by-step explanation:

CBA = 31

BAC = 59

31 + 59 = 90

The two angles = 90 degrees.

There are complementary.

Answer:

CBA = 31

BAC = 59

31 + 59 = 90

The two angles = 90 degrees.

There are complementary.

The height of the triangle is the distance that is found between the tip of the triangle at the top to the base of the triangle.

A triangle's height is determined by drawing a perpendicular line from its vertex to its opposite side. The altitude, sometimes referred to as the triangle's height, forms a right-angle triangle with the base.

The length of a perpendicular segment from the base to the vertex directly across from it determines the height that corresponds to it. The vertex that is not an endpoint of the base is the one on the opposite side.

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The number of teams in the field hockey championship tournament is 16.

The total number of matches played in the field hockey championship are 120 matches.

Each pair of team played one match with each other.

So, let us say that there are N teams in the tournament.

So, we can chose any two teams for a match,

So, applying the permutation formula,

ⁿC₂ = 120

Solving further,

N!/2!(N-2)! = 120

N(N-1)/2 = 120

N(N-1) = 240

On observing closely and applying hit and trial method,

16(15) = 240

So, the values of N is 16.

Hence, 16 teams participated in the tournament.

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The sum of the decimal fraction equation is:

seventy-six hundredths

The equation we are given is sixteen hundredths plus six-tenths

Now, when we talk about the decimal hundredths. Hundredths after decimal points shows 1/100th part of a whole. It represents the place value of the digit that occurs two places after the decimal.

Thus:

sixteen hundredths = 16/100

Similarly, six-tenths = 6/10

Thus:

The sum is:

16/100 + 6/10

= (16 + 60)/100

= 76/100 or seventy-six hundredths

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The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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The length of the surface in scientific form is

\(3 \times {10}^{ - 2}\)

Given that :

Width = 0.0002 m

Width = 0.0002 mArea = 0.000006 m²

Length = l

Recall :

Area of rectangle = Length × width

Length = width / Area of rectangle

Length = 0.000006 / 0.0002

Length = 0.03 m

In scientific form ; 0.03 = 3 × 0.01 = 3 × 10^-2

=

\(3 \times {10}^{ - 2} \)

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Answer:

2

Step-by-step explanation:

just better lol

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