find the surface area ​

Answer: x=14

Step-by-step explanation:

cb=10.

ac=14

The value of X will be 14.

This is a simple mathematics problem that can be solved by using ratios.

Given, AC : BC : AB = 7 : 5 : 8

AC = X ; BC = 10 ; AB = X + 2

AC/ BC = X/ 10 = 7/5  (Ratios can also be represented as fractions)

X/10 = 7/5

On Transposing,

5X = 70

X = 70/5

X = 14

Alternatively,

BC/AB = 5/8 = 10/ (X + 2)

5/8 = 10/ (X + 2)

On Transposing,

80 = 5X + 10

5X = 70

X = 14

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The plane degrees off course is 6.79 degrees off at a speed of 541. 92 km / hr relative to the ground.

To find the airplane's course deviation and its ground speed, we need to first determine the velocity vectors of the airplane and the wind.

W x = W x cos(225) = 90 x cos(225) = -63.64 km/hr

Wy = W x sin(225) = 90 x sin(225) = -63.64 km/hr

Magnitude: |R| = sqrt(Rx^2 + Ry^2) = √(536.36^2 + (-63.64)^2) = 541.92 km/hr

Direction: θ = arctan(Ry / Rx) ≈ arctan (-63.64 / 536.36) = -6.79 degrees

So, the airplane is 6.79 degrees off course, and its ground speed is 541.92 km/hr.

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Step-by-step explanation:

From 1860 to 2018 is  158 years

 Use compounding formula

$ 28.95    =   $ 1   ( 1 +i) ^158       where i is decimal inflation rate %

[tex]\sqrt[158]{28.95}[/tex]  = 1 + i

i = .0215       = 2.15 %

Answer:

y=9 (3x/9-2) + 18=3x

Step-by-step explanation:

To create points for the graph of f(x) = (2/3)x - 1, we can choose values of x and calculate the corresponding values of f(x). See explanation below and attached graph.

To create points for the graph of f(x) = (2/3)x - 1, we can choose values of x and calculate the corresponding values of f(x). For example:

So, we have the following points for the graph: (-3, -4), (-2, -2 1/3), (-1, -1 2/3), (0, -1), (1, -1/3), (2, 1/3), (3, 1).

We can now plot these points on a graph, with x-values on the horizontal axis and f(x) values on the vertical axis. We can label the horizontal axis as "x" and the vertical axis as "f(x)" or "y".

Note that the graph of f(x) = (2/3)x - 1 is a straight line with slope 2/3 and y-intercept -1.

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Answer:

167.6190 approximately 167.62 inches

Step-by-step explanation:

formula for surface area of a cone is 1/3πr×r×slant height. How this helps.

To convert the expression, Y=x^2-64/16 into the polar form, we would have: r = 2 / √(sin^2θ + cos^2θ).

The polar form of a mathematical expression is a way of representing complex numbers using their magnitude and angle.

For a complex number z = a + bi, where a and b are real numbers, its polar form is given by z = r(cosθ + i sinθ), where r is the magnitude of z and θ is the angle that z makes with the positive real axis.  

So, for the given expression, the polar form can be converted this way:

r^2 sin^2θ = r cos^2θ - 4

r^2(sin^2θ + cos^2θ) = 4

r = 2 / √(sin^2θ + cos^2θ)

Therefore, the polar form is r = 2 / √(sin^2θ + cos^2θ).

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Since all the students in the class are more than 10 years old, we can write the inequality: greater than

x > 10

what is greater than ?

The symbol ">" is commonly used in mathematics to represent "greater than." It is used to indicate that one quantity or value is larger than another. For example, if we say that 5 > 3, we mean that 5 is greater than 3. Similarly, if we say that x > y, we mean that x is greater than y.

In the given question,

The symbol ">" is commonly used in mathematics to represent "greater than." It is used to indicate that one quantity or value is larger than another.

Let "x" be the age of a student in the class.

Since all the students in the class are more than 10 years old, we can write the inequality:

x > 10

This inequality means that the age "x" of any student in the class must be greater than 10 years.

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Answer: q= -2/35

Step-by-step explanation:

Rearrange terms 2 Subtract  from both sides 3.Simplify the expression Subtract the numbers Subtract the numbers 4 Divide both sides by the same factor 5 Simplify the expression Divide the numbers Cancel terms that are in both the numerator and denominator Move the variable to the left

Answer:

q = -2/35

Step-by-step explanation:

2/7 = 4/5 + 9q

(2/7) - (4/5) = 9q

(10/35) - (28/35) = 9q

-18/35 = 9q

(-18/35) / 9 = q

(-18/(35*9)) = q

-18/315  = q

q = -2/35

Check:

2/7 = 4/5 - 9*2/35

2/7 = 4/5 - 18/35

10/35 = 28/35 -18/35

10 = 28 -18

Answer:1111

Step-by-step explanation:

Step-by-step explanation:

5 cos (307)  = 3

5 sin (307) = -4  

just plot the point   ( 3, -4 )     Done.

Answer:

The point is (3, -4) because 5 cos [307] = 3 and 5 sin [307] = -4

Answer:

40 cm²

Step-by-step explanation:

you have to multiply the top of the triangle by the base(40) which is 80 then you divide by two since it's a triangle then you get 40 again since your finding the area you have to put the 2 above the cm

To cover a 2000 sq ft wall, we will need 5 gallons of paint.

what is area?

Area is the measure of the size of a two-dimensional surface or region, expressed in square units. It is a fundamental concept in geometry and is used to quantify the amount of space inside a shape, such as a square, rectangle, triangle, or circle. The unit of measurement for area varies depending on the system used, but in the International System of Units (SI), the standard unit of area is the square meter (m²). In everyday life, we often use other units of area such as square feet, square inches, or square centimeters.

To find the conversion factor, we need to divide the number of square feet by the number of square feet covered by one gallon of paint:

Conversion factor = 1 gallon / (400 sq ft/gallon)

So, for a wall that is 2000 sq ft, we can use this conversion factor to find the number of gallons of paint needed:

Number of gallons = (2000 sq ft) / (400 sq ft/gallon) = 5 gallons

Therefore, to cover a 2000 sq ft wall, we will need 5 gallons of paint.

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I hope this helps you.

you can check your ans. by sub. in the value of x and y into both the equation which must give you the same answer.

Answer:

We can use the Pythagorean theorem to solve this problem. Let's call the distance Brenda is away from the fish "x". Then, we have a right triangle with legs of length 12 and x, and a hypotenuse of length 16. So:

x^2 + 12^2 = 16^2

Simplifying:

x^2 + 144 = 256

x^2 = 112

Taking the square root of both sides:

x ≈ 10.6 feet

Therefore, Brenda is approximately 10.6 feet away from the fish.

The expression 10m‾‾√ is an expanded form of the mathematical term ln10.

To the nearest block, Landon's house is at distance of 12 blocks away from Maria's house if Maria could walk in a straight line.

A basic mathematical theorem relating to the sides of a right-angled triangle is known as Pythagoras' theorem. The square of the length of the hypotenuse, the side that faces the right angle, is said to be equal to the sum of the squares of the lengths of the other two sides, known as the legs, in a right triangle.

This can be written in mathematical notation as:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the legs of the right triangle.

In this case, we can consider the straight line between Maria's house and Landon's house as the hypotenuse of a right triangle, with the distances they walked as the other two sides. We can use the distance formula to find the lengths of those sides:

Distance walked by Maria = √(9² + 3²) = √90 ≈ 9.49 blocks

Distance walked by Landon = √(5² + 7²) = √74 ≈ 8.60 blocks

Now we can use the Pythagorean theorem to find the distance between their houses:

Distance between houses = √(9.49² + 8.60²) ≈ 12.46 blocks

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2298 divided by 24 using long division shows what is the quotient and remainder while 2298 divided by 24 and the complete steps for how to find it.

Question:

2298/24 = (?)

what is 2298 divided by 24?

the quotient is 95 and the remainder is 18 when 2298 is divided by 24.

Answer:

Step-by-step explanation:

Okay so when a smaller number is divided by a larger number, the quotient is less than 1.  Hope this helps Bye sisters slay.

This null hypothesis prompt is actually straight forward. Note that where the above conditions exist, we must NOT reject the null hypothesis due to the values of the z-statistics and the significance level.

The idea that there is no influence on the population is known as the null hypothesis. We can reject the null hypothesis if the sample contains sufficient data to refute the assertion that there is no impact in the population (p≤α ).

So to determine whether or not to accept or reject the null hypothesis, we must determine dthe z-score.

To find the the critial value for a left-tailoed test, where the signifiance level is 0.01, note that we must find the z-score that leaves 1% of the area in the left tail.

Using the standard distribution table, the z-score for 0.01 left tail is about -2.33.

Since

z-satistics which  is equal to -1.95 (as given) is greater than the z-score, we must NOT reject the null hypothesis.

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The answer of the given question based on the graph is ,  The locations of A′ and B′ are A′ (0, 1) and B′ (1, 0); lines f and f′ are parallel.

A scale factor is a number that scales, or multiplies, a quantity by some factor. It is used in mathematics to describe the relationship between corresponding measurements of two similar figures, such as triangles or rectangles.

To dilate line f by scale factor of one half with center of dilation at origin, we  multiply coordinates of each point on line f by 1/2.

The equation of line f can be found by using the points A and B:

slope of line f = (0 - 2)/(2 - 0) = -1

y-intercept of line f = 2

Therefore, the equation of line f is y = -x + 2.

To find the coordinates of A' and B' after dilation, we can apply the dilation factor to each point:

A' = (0, 2)*1/2 =(0, 1)

B' = (2, 0)*1/2 =(1, 0)

So A' is located at (0, 1) and B' is located at (1, 0) after dilation.

Now let's analyze the relationship between lines f and f'. The dilation was centered at the origin, so the origin is a fixed point of the dilation. This means that the point where lines f and f' intersect must be the origin.

If we plug in x = 0 into the equation of line f, we get y = 2. This means that point A is located at (0, 2) and intersects with line f at y = 2. After dilation, point A' is located at (0, 1), which means that lines f and f' intersect at point A.

To determine the relationship between lines f and f', we can compare their equations. The equation of f' can be found by using the points A' and B':

slope of f' = (0 - 1)/(1 - 0) = -1

y-intercept of f' = 0

Therefore, the equation of f' is y = -x.

Comparing the equations of f and f', we can see that they have the same slope of -1, which means they are parallel. Therefore, the correct answer is: The locations of A′ and B′ are A′ (0, 1) and B′ (1, 0); lines f and f′ are parallel.

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The percent of the box that will remain unwrapped by the 60 square feet of paper is about 20.70%

A percentage is a proportion of a number expressed as fraction of a 100

The dimensions in mixed fractions can be expressed as follows;

Height of the box = 1 2/3 feet = 5/3 feet

Width of the box = 4 feet

Length of the box = 5 1/2 feet = 11/2 feet

Surface area of the box, A = 2 × (5/3) × 4 + 2 × 4 × 11/2 + 2 × (5/3) × 11/2 = 227/3 = 75 2/3 square inches

The percent of the box that will remain unwrapped is therefore;

Percentage = 60/(227/3) × 100 ≈ 79.3%

The percentage of the box that will remain unwrapped is about (100 - 79.3)% = 20.70%

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Answer:

Step-by-step explanation:

We get triangle PQR by plotting the point P (1, 4), Q (3, 1), R (2, -1) on the graph paper when rotated through 180° about the origin. The new position of the point is: P (1, 4) → P' (-1, -4) Q (3, 1) → Q' (-3, -1) R (2, -1) → R' (-2, 1) Thus, the new position of ∆PQR is ∆P’Q’R’.

Required algebraic expression is (t+30).

What is algebraic expression?

An algebraic expression is a mathematical phrase that contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. It may also contain brackets or parentheses to indicate the order of operations.

Algebraic expressions can be written using letters or symbols to represent variables, and they are used to represent mathematical relationships or formulas. For example, the expression "3x + 4" represents the sum of three times a variable x and the constant 4.

Let's represent the amount of time that Jill spends watching television as the variable j. We know that she watches 30 minutes more than Bill, so we can write:

j = t + 30

This algebraic expression says that Jill's time j is equal to Bill's time t, plus 30 additional minutes.

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Answer:

data given

interest rate 12%

amount to be received 15ooo

time9years

Step-by-step explanation:

from

A=p[1+r/100]^n

where

A is amount

p is principal

r is rate interest

n number of interist period

now,

15000=p[1+12/100]^8

15000/1.12^8 =p×1.12^8/1.12^8

p=6058.24

p=6058)

: .you should invest 6,058

The amount to be invested initially if you want to have fifteen thousand dollars after nine years is $3947.18.

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

We are given that:

A=15000

r=0.12

t=9

We need to find P. You can do this by rearranging the formula:

P=ertA​

Then plug in the given values and use a calculator:

P=e0.12×915000​

P≈3947.18

Therefore, by the given interest rate the answer will be $3947.18.

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Thus, the height of flagpole from the ground is found as 23.34 feet.

The measurement of the angle between a person's eyes' line of sight to anything above and the horizontal line is known as the angle of elevation.

The movement of the observer's eyes determines the elevation angle. The angle of elevation is the angle formed by the line of sight and the horizontal line when a viewer is looking up at an object.

Given data:

Using the trigonometric ratios in the right triangle ABE.

tan 35 = h / 30

h = 30* tan(35)

h = 18.34

Height of flagpole = 18.34 + 5 = 23.34 feet

Thus, the height of the flagpole from the ground is found as 23.34 feet.

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When the car travels east on 4th Street and turns onto King Avenue heading northeast, the angle created by the car's turning is a 45-degree angle.

When the car travels southwest on King Avenue and turns left onto 3rd Street, the angle created by the car's turning is a 135-degree angle.

When the car travels northeast on King Avenue and turns right onto 3rd Street, the angle created by the car's turning is a 45-degree angle.

(a) When the car travels east on 4th Street and turns onto King Avenue heading northeast, the angle created by the car's turning is a 45-degree angle. This is because the intersection of 4th Street and King Avenue creates a right angle, and the car turns northeast, creating another 45-degree angle with the horizontal 4th Street.

(b) When the car travels southwest on King Avenue and turns left onto 3rd Street, the angle created by the car's turning is a 135-degree angle. This is because the intersection of King Avenue and 3rd Street creates a right angle, and the car turns left, creating an additional 90-degree angle. Therefore, the total angle is 90 degrees + 45 degrees = 135 degrees.

(c) When the car travels northeast on King Avenue and turns right onto 3rd Street, the angle created by the car's turning is a 45-degree angle. This is because the intersection of King Avenue and 3rd Street creates a right angle, and the car turns right, creating another 45-degree angle with the horizontal 3rd Street.

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The statements are classified as Exponential decay and Linear growth.

a. Exponential decay: The amount of caffeine in the bloodstream decreases by 50% every 5 hours, which indicates an exponential decay process where the quantity decreases at a constant percentage rate over time.

b. Linear growth: The amount of trash in a landfill increases by 350 tons per week, which indicates a linear growth process where the quantity increases by a constant amount over time.

c. Exponential decay: The amount of alcohol in the bloodstream decreases by 10 grams (the amount in a standard drink) per hour after stopping drinking, which indicates an exponential decay process where the quantity decreases at a constant percentage rate over time.

d. Linear growth: Your age increases every day, which indicates a linear growth process where the quantity (age) increases by a constant amount (1 day) over time.

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Answer:

good luck

Step-by-step explanation: