In a survey, 10% of people live in a city. If 60 people live in a city, how many people were surveyed?

Answer:

Step-by-step explanation:

Well the first fact is that you can solve H and J with 1 equation. Two remote (unconnected to) one of the exterior angles when summed, equals the unconnected exterior angle.

H + j are not connected to the exterior angle at I.

Put more directly

2x + 3x = 150        Combine

5x = 150                Divide by 5

x = 150/5

x = 30

So H = 2 * 30 = 60

and J = 3*30  = 90

All triangles have interior angles that add up to 180

We have already accounted for 150.

JIH + 150 = 180  Subtract 150

jIH = 180 - 150 = 30

Summary

x = 30

JIH = 30                      

H = 60

J = 90

Given : ΔABC  , AD || DE , C lies on DE

∠ABC = 80°  , ∠ACD = 50°

To Find : Type of triangle

Solution :

Properties of angles formed by transversal line  with two parallel lines :

Sum of angled of a triangle = 180°

AD || DE  and AC is transversal

∠CAB = ∠ACD   Interior alternate angles

=> ∠CAB =  50°

Sum of angled of a triangle = 180°

=> ∠CAB  + ∠ABC + ∠BCA = 180°

=> 50° + 80° + ∠BCA = 180°

=>  ∠BCA =50°

∠CAB = ∠BCA =50°

Two angles are equal

Hence Triangle is Isosceles triangle

All 3 angles are acute angles

Hence triangle is Acute triangle

Additional Info :

Types of triangles

Equilateral : All sides are equal

Isosceles : two sides are equal

Scalene : All 3 sides are of different length

Right angle triangle - One angle is Right angle

Obtuse Triangle - one angle is greater than 90°

Acute Triangle - All three angles are less than 90°

Equation: 10.00× 1.29

I THINK

Answer:

$1.29x=10

Step-by-step explanation:

You know that the goal is to reach 10 songs. So this number will go on one side of the equal sign. $1.29 is the amount to download a new song. Let x be the variable to mean each song. You are trying to find how many songs so you'd do: $1.29x/1.29=10/1.29 and x=7.75

The median of the given data is 52, the lower quartile (Q1) is 41, the upper quartile (Q3) is 74, and the interquartile range (IQR) is 33.

Median: 52

Q1: 41

Q3: 74

IQR: 33

1. Arrange the numbers in ascending order: 38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129

2. Count the number of data points: 12

3. Calculate the median by adding the two middle numbers and dividing by two: (47 + 48) / 2 = 52

4. Calculate the lower quartile (Q1) by finding the median of the lower half of the data: 41

5. Calculate the upper quartile (Q3) by finding the median of the upper half of the data: 74

6. Calculate the interquartile range (IQR) by subtracting the lower quartile from the upper quartile: 74 - 41 = 33

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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 %

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Answer: 65

Step-by-step explanation:

since the square root of 8 is 64 and 65 is closest to 64

Answer:

√65

√9= 3

√17= 4,12311

√65= 8,06226

√72 =8,48528

Answer:

x-intercept: -(\(\frac{35}{9}\),0)

y-intercept: (0,-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

We need to first find the perimeter of this oddly-shaped rink. We have a rectangle for which we are enclosing 3 of its sides, and the fourth "side" is a half-circle. Let's find the perimeter (or circumference) of the circle, divide it in half because we have half a circle, then add in the remaining 3 sides from the rectangle, shall we?

C = πd. The diameter of the circle is the same as the shorter length in the rectangle, 26. Therefore,

C = (3.14)(26) so

C = 81.64 m for a whole circle, and for half of that circle, the circumference is

C = 40.82 m

Now we can find the perimeter of the rink:

40.82 + 61 + 26 + 61 = p so

p = 188.82 m

If the fencing costs $6.20 per meter and we have 188.82 m, then the total cost is

\(cost=\frac{6.20dollars}{meter}*188.82meters\). The label "meter" cancels out, leaving us with

cost = $1170.82

Given:

1131 = number of adults surveyed

102 = people responded "tailgaters"

Asked: What percent of those surveyed were most irked by tailgaters?

Solution:

Let us divide the number of people responded "tailgaters"by the total adults surveyed and multiply it by 100 to get the percentage.

ANSWER: 9.0% (Rounded to the nearest tenth.)

Answer:

3) 6v+24

Step-by-step explanation:

6(v+4)=6×v+6×4=6v+24

Answer:

6v + 24

Step-by-step explanation:

The 6 has to be distributed to everything within the parentheses, multiplay the 6 by v and 6 by 4 which gives you 6v + 24.

According to the given question -12 \(\times\) 2/3 is equal to -8.

There are certain rules to solve this question.

multiply -12 × 2 = -24

And,

then divide it by 3 as stated in the denominator.

\(\frac{-24}{3}\) = -8

This is how we solve this equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

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From the given fractions change in percentage is 50 percent.

The two given fractions are 1/3 and 1/6.

Difference of given fractions = 1/3 - 1/6

= 1/6

The percentage change = Difference of fractions/Original fraction ×100

= 1/6 ÷ 1/3

= 1/6 × 3/1

= 0.5 ×100

= 50%

Therefore, from the given fractions change in percentage is 50 percent.

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Answer:

To find the product of 568.32 and \(10^{4}\), move the decimal point in 568.32 4 places to the right because \(10^{4}\) has 4 zeros.

Step-by-step explanation:

\(10^{4}\) = 10000

568.32 · 10000 = 5683200

the decimal point moved 4 places to the right because 10000 has 4 zeros.

hope this helps!

Answer:

720

Step-by-step explanation:

Heck that's a lot of erasers!!!

36 (erasers per child) x 20 (the number of children) = 720 (number of erasers)

Chow,...!

The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².

A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating

straight line of that surface.

The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.

The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.

The axis of symmetry is the line through the focus and perpendicular to the directrix.

The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens

up" or "opens down.

The directrix is a fixed straight line used in the definition of a

parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the

distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's

the solution to the given problem:

The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)

The vertex is (h,k) = ((18+2)/2,5) = (10,5)

Then we can use the following formula: (x - h)² = 4p(y - k)

Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)

Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)

The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).

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The mean of the distribution of X = 2.4

The mean of a binomial distribution represents the average number of successes or occurrences of an event in a given number of trials.

In this scenario, the event is a college student preferring pizza over tacos, and the distribution follows a binomial distribution.

The mean of the distribution is calculated by multiplying the number of trials (sample size) by the probability of success.

In this case, the sample size is 8 students, and the probability of a student preferring pizza is 30% or 0.30.

Multiplying 8 by 0.30 gives us a mean of 2.4.

This means that, on average, out of the 8 randomly selected college students, we can expect approximately 2.4 students to prefer pizza.

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Answer:

its 29.3

Step-by-step explanation:

Answer:

what is the angle? what what

Answer:

5 units

Step-by-step explanation:

find the length of the side

the area of a square is given by :

then Let

Area= 100 square units

replace and solve for side

Step 2

now, the square is divided

now, to check the measure of the side length of each of the small squares we need divide the original side by 2

so

therefore, the answer is

5 units

Answer:

The area of the large square is 100 square units, so the side length of the large square can be found by taking the square root of 100:

√100 = 10

Therefore, the side length of the large square is 10 units.

When the large square is divided into four congruent smaller squares, each square has an equal area. Since the area of the large square is 100 square units, each of the smaller squares must have an area of:

100/4 = 25 square units

The side length of each smaller square can be found by taking the square root of 25:

√25 = 5

Therefore, the side length of each of the small squares is 5 units.

We must raise the $1,190 starting rent by 1.7% in order to determine the monthly rent after a year.

We can begin by figuring out how much the rise will be:

Amount of increase: 1.7% of $1,190 multiplied by 0.017 times equals $20.23. (rounded to the nearest cent)

We must multiply the initial rent by this sum in order to determine the new monthly rate:

New rate is $1,190 plus $20.23 per month, or $1,210.23. (rounded to the nearest cent)

As a result, the rate will be $1,210 per month after a year.

When the input parameter value is 0, the output of a function is its starting value, or 0. The first number would be the amount of money you had to start with on day 0 if your function, for instance, was tracking the sum of money you earned over a specific period of time.

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The monthly rent after 1 year will be $1,210.

"Amount" is a general term that refers to the quantity, value, or total of something. It can be used in different contexts to refer to different things.

To calculate the monthly rent after 1 year, we need to find the 1.7% increase and add it to the initial rent.

First, we need to calculate the amount of the increase:

Increase = 1.7% of $1,190

Increase = 0.017 × $1,190

Increase = $20.23 (rounded to two decimal places)

Next, we can find the new monthly rent by adding the increase to the initial rent:

New rent = $1,190 + $20.23

New rent = $1,210.23 (rounded to two decimal places)

Therefore, the monthly rent after 1 year will be $1,210.

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Answer:

D

Step-by-step explanation:

number of games won over tickets

6 tickets for every game won

Answer:

D

Step-by-step explanation:

If the x-axis has 1 and the y-axis has 6, and it proceeds to go upward 6 on the y-axis each game she's won, so that's saying that she receives 6 tickets for every game she wins.

The distance between Ibadan and Onitsha is 450km

The distance between Ibadan and Kafanchan is 636. 4km

To determine the distance, we have that;

The distance of Onitsha from Kafanchan is 450km

The distance between Ibadan and Onitsha is x

The distance between Ibadan and Kafanchan is y

Note that the third quadrant is 270 degrees

Then, the value of the angle = 270 - 225 = 45 degrees

Then, using the tangent identity, we have that;

tan 45 = x/450

cross multiply the values

x = 450km

Also, using the sine identity

sin 45 = 450/y

cross multiply the values

y = 636. 4 km

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According to the question There will be approximately 39,681 lionfish in the bay after 6 years.

Part A:

The explicit equation for  \($f(n)$\) that represents the number of lionfish in the bay after \($n$\) years can be calculated using the formula for exponential growth:

\(\[f(n) = P \cdot (1 + r)^n\]\)

Where:

\($P$\) = Initial population (9,000 lionfish)

\($r$\) = Annual growth rate (69% or 0.69)

\($n$\) = Number of years

Substituting the given values into the equation:

\(\[f(n) = 9,000 \cdot (1 + 0.69)^n\]\)

Part B:

To find the number of lionfish in the bay after 6 years, we can substitute \($n = 6$\)  into the equation:

\(\[f(6) = 9,000 \cdot (1 + 0.69)^6\]\)

Calculating the value:

\(\[f(6) = 9,000 \cdot (1.69)^6\]\)

\(\[f(6) \approx 9,000 \cdot 4.409\]\)

\(\[f(6) \approx 39,681\]\)

Therefore, there will be approximately 39,681 lionfish in the bay after 6 years.

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Answer:

ok for the first one the lines only cross once 2. lines dont cross 3. its just one line

Step-by-step explanation:

im pretty sure thats right

Answer:

C) B>A

Step-by-step explanation:

if it doesn't make sense think of it like the number in between A and B is .5. You can visibly see that A is less than or below .5 and B is above or greater than .5, so B is greater than A.

Answer:

Explanation:

Generally, the slope-intercept form of the equation of a line is given as;

where m = the slope of the line

b = y-intercept of the line

From the question, we're told that the required line will pass through the origin and (3, 2), so we can find our slope(m) of the line using the given coordinates x1 = 0, y1 = 0, x2 = 3, and y2 = 2;

So the slope(m) of the line is 2/3.

Since we're told that the line will pass through the origin, it means that the y-intercept (b) = 0.

Since the gragh will be shaded above the dashed line, it means that the inequality will have a greater than sign(>).

We're told that the line will be dashed, it means that the function have only the greater than sign(>) without the equal to sign(=).

Combining all the information above, the function for the line can be

Answer:

x = −2

Step-by-step explanation:

4x + 1 = x − 5

Subtract 1 from both sides

4x + 1 − 1 = x − 5 − 1

Simplify

4x = x − 6

Subtract x from both sides

4x −x = x − 6 − x

Simplify

3x = −6

Divide both sides by 3

\({\frac{3x}{3}\)=\(\frac{-6}{3}\)

Simplify

x = −2

9(5 - y)

EXPLANATION

Difference means subtraction.

This implies that the difference of 5 and y can be expressed as 5 - y.

Hence, nine times the difference of 5 and y can be represented as:

9(5 - y)

Answer:

b=−5

Step-by-step explanation:

Subtract the numbers

b=2−7                                                            

b= −5

Answer:

b = -5

Step-by-step explanation:

b = 2 - 7

b = -5

Answer: 5 5/6

Step-by-step explanation: make them both into fractions so 7/1 and 5/6 multiply across 7*5=35 and 1*6=6 simplify that down into a mixed number gives you 5 5/6