.Solve for x
x = 192
x = 336
x = 8√3
x = 4√21

Answers

Answer 1

We can solve this question by using Pythagoras Theorem . The value of x in the given question is 8√3.

What do you mean by Pythagoras Theorem?

The well-known Pythagorean Theorem, which states that the square of the hypotenuse is equal to the sum of squares of the lengths of the other two sides of the right-angled triangle, states that the square on the hypotenuse (the side opposite the right angle) is equal to the square on the legs of a right triangle. Pythagorean Theorem is written as a2 + b2 = c2. Alternatively, the square of the hypotenuse of a right triangle is equal to the sum of the squares of its two legs.

Calculation

From the given triangle using Pythagoras theorem,

Assume the triangle as ABC where AB=y BC=z and AC=28

D is the altitude from B and BD=x

AD=12 so CD=16

Now using Pythagoras theorem,

(y)2 = (12)2 + (x)2 - eq1

(z)2 = (x)2 + (16)2 -eq2

(y)2 + (z)2 =(28)2 -eq3

Substitute eq 1 and 2 in 3

⇒2(x)2 + (12)2 + (16)2 =(28)2

⇒(x)2 =192

∴x =8√3

We can solve this question by using Pythagoras Theorem . The value of x in the given question is 8√3.

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Related Questions

What is the sum of the interior angles of the polygon pictured below?

Answers

3420°

explanation:

the equation of the sum of interior angles are (n-2)x180

polygon above has 21 sides so you sub n as 21 and plug the equation in the calculator

Answer: 3420

Step-by-step explanation: To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.

Therefore the formula is (n-2)×180, n being the number of sides. Therefore it's (21-2)×180 which gives you 3420.

Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.

Answers

Answer: y=5x-11

Step-by-step explanation:

Write the equation of the line that passes through (3, 4) and (2, 1) in slope-intercept form.

paraboloid is a 3D shape whose cross sections are parabolas. A solar cooker is in the shape of a paraboloid. It generates heat for cooking by reflecting sunlight toward a single point, the common focus of those parabolas. A cross section of the solar cooker can be modeled by the parabola shown below, opening up whose vertex is at the origin. If the cooker is 116 cm wide and 14.5 cm deep, how far above the base is the focal point?

Answers

To find the focal point of the parabola, we need to use the formula:

f = (1/4) * d^2 / h

where f is the focal length, d is the width of the cooker, and h is the depth of the cooker.

Plugging in the values, we get:

f = (1/4) * (116cm)^2 / (14.5cm)
f = 116^2 / 58
f = 232cm

Therefore, the focal point of the parabola is 232 cm above the base of the solar cooker.

if a house has 3 bedrooms, 3 bathrooms, and is 10 years old, what is the estimated value of the home (in thousands of dollars)?

Answers

The estimated value of the home (in thousands of dollars) is 340.

Let X be the estimated value of the home (in thousands of dollars).

Then, the estimated value of the home can be given as:

X = 50 + 30B + 20T

where B is the number of bedrooms and T is the age of the home in years.

Substituting the given values for B, T, and the constant we have:

X = 50 + 30(3) + 20(10)

= 50 + 90 + 200

= 340

Thus, the estimated value of the home (in thousands of dollars) is $340, which is the final answer.

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Consider the economy whose data appear in the table below. Working-age population 100,000 Labor force 60,000 Unemployed 12,000 Instructions: Round your answers to one decimal place.

a. The unemployment rate is ___%.

b. The labor-force participation rate is ___ %.

Answers

a. The unemployment rate is 20%.

b. The labor-force participation rate is 60%.

According to the question,

Working age population- 100,000

Labour force - 60,000

Unemployed - 12000 instructions

a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:

Unemployment Rate = $\frac{Number of unemployed People}{Labor force}$ × 100

When an unemployed population is 12,000 and the labor force is 60,000,

the unemployment rate is = $\frac{12000}{60000}$ × 100 = 20%

b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:

Labor Force Participation Rate = $\frac{Labor force}{working age population}$ × 100

When the labor force is 60,000 and the working-age population is 100,000

Labor Force Participation Rate = $\frac{60000}{100000}$ × 100 = 60%

So, a. The unemployment rate is 20%.

b. The labor-force participation rate is 60 %.

Answers

The value of the z score is 1.03.

According to the statement

we have given that the value of mean and standard deviation and we have to find the value of the z score.

So, For this purpose we know that the

Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.

And the given values are:

mean value = 69 inches

s.d value = 2.8 inches

And the value of x is 71.9 inches.

So, The Z score is

z = x - mean / standard deviation

substitute the values in it then

z = 71.9 - 69 / 2.8

then

z = 2.9 /2.8

z = 1.03

So, The value of the z score is 1.03.

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please explain every step clearly

Answers

As a result, for the two schools, the measures of variability are:

Mountain View School:

Range = 4, Variance = 9.1733, Standard deviation = 3.029

Bay Side School:

Range = 10, Variance = 7.84, Standard deviation = 2.8.

How do you define standard deviation?

The degree of variance or dispersion in a set of data values is measured by standard deviation. The degree to which the data values deviate or vary from the mean or average value of the data set is indicated by this statistical indicator.

We must ascertain the range, variance, and standard deviation for each dataset in order to determine the measures of variability for the two schools.

Mountain View School:

Range: The smallest class size is 5 and the largest is 9, so the range is 9-5 = 4.

Variance: To calculate the variance, we need to find the mean first.

Mean = (5+6+8+9+8+2+0+10+2+4+5+6+8)/15

= 5.6

Then, we can find the variance using the formula:

Variance = Σ(xi - μ)²/n

= [(5-5.6)² + (6-5.6)² + (8-5.6)² + (9-5.6)² + (8-5.6)² + (2-5.6)² + (0-5.6)² + (10-5.6)² + (2-5.6)² + (4-5.6)² + (5-5.6)² + (6-5.6)² + (8-5.6)²]/15

= 9.1733

Standard deviation = √(9.1733) = 3.029

Bay Side School:

Range: The smallest class size is 0 and the largest is 10, so the range is 10-0 = 10.

Variance: To calculate the variance, we need to find the mean first.

So,

Mean will be = (8+7+6+5+5+4+4+3+1+0+2+0+0+2+3+5)/15

= 3.6

Then, we can find the variance using the following formula:

Variance = Σ(xi - μ)²/n

= [(8-3.6)² + (7-3.6)² + (6-3.6)² + (5-3.6)² + (5-3.6)² + (4-3.6)² + (4-3.6)² + (3-3.6)² + (1-3.6)² + (0-3.6)² + (2-3.6)² + (0-3.6)² + (0-3.6)² + (2-3.6)² + (3-3.6)² + (5-3.6)²]/15

= 7.84

Standard deviation will be = √(7.84)

= 2.8

As a result, for the two schools, the measures of variability are:

Mountain View School:

Range = 4, Variance = 9.1733, Standard deviation = 3.029

Bay Side School:

Range = 10, Variance = 7.84, Standard deviation = 2.8

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need help please and

Answers

Answer:

B. 16x^2 - 9

Step-by-step explanation:

(4x-3) x (4x+3) = 4x(4x) + 3(4x) - 3(4x) - 9 = 16x^2 - 9

Answer:

the answer is B

Step-by-step explanation:

good luck on your assignment

Flagpole a and flagpole c are both casting a shadow that ends at point s.

The distance of (x) between the flagpole is 12 m.
The distance (y) from flagpole c to point s is 10 m.

The height of flagpole a is 4.4 m.

What is the height of flagpole c?

Answers

In linear equation, 60m is the height of flagpole c .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Height/ Shadow

Shadow of the pole = 12 m

Height of the pole = x m

Tim's shadow = Height of the pole - Tim's distance

12 m - 10 m = 2 m

Tim's height = 2 m

Hence:

x/12 = 2/10

Cross Multiply

2x = 12 × 10

x = 120/2

x = 60 m

Approximately = 60m

Hence, the height of the flagpole = 60m

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is an acute triangle sometimes, always or never equilateral? if the answer is always or never explain how you know.

Answers

An acute triangle is never equilateral. The reason is that in an acute triangle, all three angles are less than 90 degrees. An equilateral triangle has three equal angles, each measuring 60 degrees. Since all angles of an acute triangle are less than 90 degrees, none of them can be equal to 60 degrees, which is necessary to form an equilateral triangle.

As a result, an acute triangle cannot be equilateral. An acute triangle is a triangle in which all three angles are acute, meaning that each angle is less than 90 degrees. On the other hand, an equilateral triangle is a triangle with three sides of equal length and three equal angles. Since all angles of an acute triangle are less than 90 degrees, none of them can be equal to 60 degrees, which is necessary to form an equilateral triangle.

Therefore, an acute triangle cannot be equilateral. In conclusion, an acute triangle can never be equilateral, because an equilateral triangle requires all three angles to measure 60 degrees, while all three angles of an acute triangle are less than 90 degrees.

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What number if doubled gives ninety-eight?

Answers

Answer:

Step-by-step explanation:

Answer:

98/2=49

Hence, 49 is doubled to get 98.

Step-by-step explanation:

If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP

Answers

Answer:

Step-by-step explanation:

cos 45° cos 30° + sin 45° sin 30°

Answers

Answer: hi hope this helps

Step-by-step explanation:

Write an equation of the line that passes through (2, 1) and is parallel to the line y=2x+7.

Answers

Answer: y=2x-3

Step-by-step explanation:

A doctor has invented a relaxation method that he
thinks will relieve anxiety and help students score
higher on exams. He wants to test the method on a
group of statistics students to see if it improves their
scores on the final exam. All of the students have
volunteered to participate.
What is the response variable for the experiment?

Answers

Answer:

Exam score

Step-by-step explanation:

The response variable also known as the d pendent variable, is simply the variable we intend to measure based in a set of variables (independent variables or explanatory variables) which might cause it to change. For instance, the scenario above aims to look into how a certain relaxation method will affect the exam score, here, the variable we intend to measure is the response variable which is exam score. The exam score is affected by the impact the relaxation method has on the student, hence, the relaxation method is the independent or explanatory variable.

Can Someone help me?

Answers

Step-by-step explanation:

first- b

swcond- a

third- c

HELP ME DUE TODAY
CALCULATE THE SLOLE OF THE LINE THAT PASSES THROUGH THE LABELED PONITS ON THE GRAPH

Answers

Answer

if you mean slope then there is no answer

Step-by-step explanation:

20)

A single card is chosen at random from a standard deck of 52 playing cards. Which BEST describes the probability of drawing a king

from the deck?

Answers

The best description of the probability of drawing a king from the deck is 1 out of 13, or 1/13.

The probability of drawing a king from a standard deck of 52 playing cards can be determined by dividing the number of favorable outcomes (number of kings) by the total number of possible outcomes (total number of cards in the deck).

In a standard deck, there are 4 kings (one king for each suit: hearts, diamonds, clubs, and spades). Therefore, the number of favorable outcomes is 4.

The total number of possible outcomes is 52 (the total number of cards in the deck).

So, the probability of drawing a king is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 4 / 52

Simplifying the fraction gives us:

Probability = 1 / 13

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la tarifa de un recorrido de taxi es de 7.25 de cargo fijo y de 7 por cada km recorrido determina la ecuación si p corresponde al valor del pago por x km recorridos

Answers

The equation that illustrates the amount to be paid for the number of kilometers will be 7.25 + 7x.

How to illustrate the information?

Fixed rate for taxi = 7.25

Additional charges per kilometers = 7

Number of kilometers = x

Therefore, the equation that illustrates the amount to be paid for the number of kilometers will be:

= 7.25 + (7 × x)

= 7.25 + 7x

Therefore, the equation is 7.25 + 7x.

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Find an equation for the hyperbola with foci (0,±5) and with asymptotes y=± 3/4 x.

Answers

The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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Suppoe you earn 2% on $1000 for 2 year if thi interet rate i doubled the then interet would be

Answers

Earning 2% on $1,000 for two years would result in interest of $80 if the interest rate were to double to 4%.

How should the information be illustrated?

According to the data, if someone earns 2% interest on $1,000 for two years, the interest rate will be: = 2% 2 = 4%.

The sales for the two years are divided by two to arrive at the midpoint formula, which will be used to predict sales (in billions of dollars) for 2017 as follows:

[Sales from 2016 and 2018] / 2

It should be remembered that the formula for simple interest is:

Interest is calculated as follows: Principal x Rate x Time / 100

Interest is equal to 1000 4 2 /100.

Interest equals 8000/100.

$80 plus interest

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how have income levels for most americans changed in recent years apex?

Answers

Answer:

from 2015 to 2018 us household income has increased from 70,200 to 74,600

Step-by-step explanation:

Help please I have 25 min left. I’ll name you brainliest !!

Answers

Answer:

the last two

Step-by-step explanation:

Junior's family is making mini pizzas. They have 35 pieces of pepperoni. if they put 6 pieces of pepperoni on each pizza, how many pizzas can they make? will they have any leftover pepperoni? (Long division)

Answers

Answer:

Step-by-step explanation:

35/6=5.83 round down and you get five

Which graph represents a system of linear equations that has multiple common coordinate pairs?
sorry if the image is blurry

Answers

Answer:

Step-by-step explanation:

The fourth image because when looking for liner equations if you draw a line through them and it only touches once its linear equation!

sorry if im wrong...

Natalie is shopping for new clothes and does not want to spend more than $65. She buys one dress for $26 and wants to buy a few shirts that cost $13 each. Which inequality represents the number of shirts she can buy? A. x≥7 B. x≤7 C. x≥3 D. x≤3

Answers

Answer:

D. x ≤ 3

Step-by-step explanation:

26 + 13x ≤ 65

13x ≤ 65-26

13x ≤ 39

13x ≤ 39 ÷13

x ≤ 3

Please help with this and you will get 50 points.

Answers

Answer: C and E

Step-by-step explanation: P would equal 13. For A, 25 more than 38 would equal 63 so that would be incorrect. For B it says 25 times as p (13) would equal 38. That is incorrect. And for D, for Rachel to jog 38 more times as Will, who jogged 25 blocks, wouldn't make sense for the equation. C and E makes the most sense.

help ASAP
will give brainliest

a car travels along the highway to Yuma at a steady speed. when it begins, it is 400 miles from Yuma. after 7 hours, it is 50 miles from Yuma. which function describes the cars distance from Yuma ?

A. y-350x - 400
B. y=50x + 400
C. y= -50 + 400
D.y= -10x + 400

Answers

it’s not a because she started at 400, which leaves us b,c, and d
since she’s getting closer, it cannot be c or d
which leaves us b
b) y = 50x + 400

hope this helps, please mark brainliest:)

Answer:

b. y = 50x + 400

Step-by-step explanation:

why is the answer here (-∞, 6)
why 6

Answers

Answer:

Step-by-step explanation:

Basically, because till x = 6, f(6) was less than 0.

They are asking the value of f(x), not x.

Thanks

A function, f(x), is equal to the value of y (f(x)=y). So f(x) (or the value of y) is negative when x goes from negative infinity to 6.

Which of these is a statistical question?

A.How tall is the Willis Tower?
B.How many times has Mark visited the Willis Tower?
C.How many people visit the Willis Tower each day?
D.How tall is Mark?

Answers

Answer:

Step-by-step explanation:

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.Solve for x x = 192 x = 336 x = 8√3 x = 4√21

Answers

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.Solve for x
x = 192
x = 336
x = 8√3
x = 4√21