The average age of 4 children is 15 years. If the ages of their parents are added, the average age is 25. What is the age of the father if he is 4 years older than his wife?

Answer:

16 cm, 30 cm, 34 cm

Step-by-step explanation:

I got this answer simply by plugging each number into my calculator with the following equation:

[tex]\sqrt{x^{2} +y^{2} }[/tex]

When you the lower numbers into the equation, if the lengths really do give you a triangle, then you should get the largest number as your output. This can help you with any of the other questions that you may have to answer.

Only the measurements of 16 cm, 30 cm, and 34 cm could represent the side lengths of a right triangle.

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,

The side lengths of a right triangle must satisfy the Pythagorean theorem, which states that the sum of the squares of the two shorter sides (the legs) is equal to the square of the longest side (the hypotenuse). Therefore, we need to check which sets of measurements satisfy this condition.

Only the measurements of 16 cm, 30 cm, and 34 cm could represent the side lengths of a right triangle.

For the first set of measurements, we have:

a = 16 cm, b = 30 cm, c = 34 cm

a² + b² = 256 + 900 = 1156

c² = 1156

Since a² + b² = c², these measurements do represent the side lengths of a right triangle.

Learn more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ5

Answer:

Hypoteneuse (y) = b /cos(α)

= 4.24264 = 3√2

Height (x) = √c2 - b2

= √4.24264068711932 - 3^2

= √9

= 3

Answer:

Median: 15

Range: 9

25th: 14

75th: 17

IQR: 3

Answer:

$280 dollars

Step-by-step explanation:

When they were leaving

[tex]\$1 \approx \frac{7}{10}$ Euro\\Therefore:\\\$1000 \approx \dfrac{7}{10}\times 1000 =700$ Euro[/tex]

When they returned home, they brought 196 Euros.

[tex]If\:\:\$1 \approx \frac{7}{10}$ Euro\\Then: 1 Euro $=\$ \dfrac{10}{7}\\\\$Therefore:\\\\196 Euros = \$ 196 \times \dfrac{10}{7} =\$280[/tex]

They brought back $280 dollars to the United States.

Answer:

They brought back 280 dollars.

Step-by-step explanation:

From the question, one United States dollar was worth about $\frac{7}{10}$ of a euro implies that:

$1 = 7/10 euro, or 0.70 euro. That is, the exchange rate is $1:0.70 euro.

The equivalence of the exchange $1:0.70 euro can also be obtained by dividing both sides by 0.70 as follows:

$1 / 0.7 = 0.7 / 0.7 => $1.43:1 euro. That is, $1.43 is equal to one euro.

Since they returned with 196 euros and $1.43 is equal to one euro, we will simply multiply 196 euros by $1.43 to obtain the amount of dollars they brought back as follows:

Amount of dollars they brought back = $1.43 * 196 = $280 to the nearest dollar.

Therefore, they brought back 280 dollars.

Answer:

x=23/3

Step-by-step explanation:

x=c+ay

7=c+3a     | *(-1)

9=c+6a

-7=-c-3a

9=c+6a

------------

9-7=c-c+6a-3a

2=3a

a=2/3

7=c+3*2/3

7=c+2

-2   -2

5=c

so   x=5+2/3*y

when y=4 then  x=5+2/3*4=5+8/3

x=15/3+8/3

x=23/3

please which one I'm I meant to solve

Answer:

y = csc (x) + 2

Step-by-step explanation:

From the graph, we can derive the parent function y = csc(x). Notice how there are asymptotes at x = 2πk and x = π + 2πk, which is where csc(x) is undefined.

Finally, we can see a vertical shift of 2 which we can see from the mid-line of the graph which is at y = 3.

Answer:

c

Step-by-step explanation:

edg 2021

Answer:

-7, -4, 3

Step-by-step explanation:

Tn = 2n² - 3n - 6

Answer:

4

Step-by-step explanation:

perimeter=4a

8/4=a

a=2

area=a square

=2*2

=4

hope so this will help you

Step-by-step explanation:

given,

perimeter (p)=8cm

or, 4 l =8cm

or, l =8/4

therefore l =2cm

now area of square =l^2

=(2cm)^2

therefore l= 4 cm^2.....is ans wer..

Answer:

114.96 pounds at angle 81.76°

Step-by-step explanation:

Let i be the component along x-axis and j be the component along y-axis.

First force that is given is 150 acting at angle 40; [tex]F1 = 150cos170i + 150sin40j = 114.91i +96.42j[/tex]

The second force 100 is acting at angle 170;

[tex]F2 = 100cos170i + 100sin170j = -98.48i + 17.36j[/tex]

We now have the resultant force, which is: [tex]114.91i + 96.42j + (-98.48i + 17.36j) = 16.43i + 113.78j[/tex]

Magnitude of resultant:

[tex]\sqrt{16.43^{2} + 113.78^{2} }[/tex] = 114.96 pounds

Angle it makes with horizontal; inverse tangent of [tex]\frac{(113.78)}{(16.43)}[/tex] = 81.76 degrees

Hope this helps; Brainliest appreciated!

Answer:

b-4/5b

Step-by-step explanation:

b is decreased by 80%

dat is 80/100×b

= b-80/100b

b-4/5b

Answer:

Total um of the digits of the first 25 numbers is 127

Step-by-step explanation:

Notice that:

The sum of the digits:

0+1+2+3+4+5+6+7+8+9 = 45

Also notice that the addition of:

10+11+12+13+14+15+16+17+18+19=0+1+2+3+4+5+6+7+8+9 + 10*1 = 45 + 10 = 55

And for the last 6 numbers:

20+21+22+23+24+25 = 0+1+2+3+4+5 + 2 * 6 = 15 + 12 = 27

So the total sum of all this is: 45 + 55 +27 = 127

Answer:

1620

Step-by-step explanation:

If a number decreased by 95% is 81, then

5% is 81.

So, the number = 100/5 x 81= 20 x 81 = 1620

Hope this helps

Answer:

the answer is 1620

Step-by-step explanation:

Answer:

Minimum = 92 ; maximum =100

Step-by-step explanation:

Total number of quizzes = 6

Number of completed quizzes = 4

Number of quizzes left = 2

Average score on completed quizzes = 87

Target average = 90

Maximum score for any individual quiz = 100

Current total score on the 4 quizzes to obtain an average of 87:

87 * 4 = 348

To obtain an average of 90:

Total score must in the six quizzes must be :

90 * 6 = 540

Therefore total score needed in the remaining 2 quizzes to attain an average of 90:

540 - 348 = 192

Since the highest attainable score is 100:

Maximum score Ron can attain on one quiz = 100

Minimum he can attain in the other = 192 - 100 92 in other to score an average of 90 in the six quizzes.

Answer:

first option

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ([tex]\frac{x}{y}[/tex] )

log[tex]x^{n}[/tex] ⇔ n log x

ln e = 1

Given

4 + 5[tex]e^{x+2}[/tex] = 11 ( subtract 4 from both sides )

5[tex]e^{x+2}[/tex] = 7 ( divide both sides by 5 )

[tex]e^{x+2}[/tex] = [tex]\frac{7}{5}[/tex] ( take ln of both sides )

ln [tex]e^{x+2}[/tex] = ln ([tex]\frac{7}{5}[/tex] )

(x + 2) lne = ln ([tex]\frac{7}{5}[/tex] )

x + 2 = ln ([tex]\frac{7}{5}[/tex] ) ( subtract 2 from both sides )

x = ln([tex]\frac{7}{5}[/tex] ) - 2

Answer:what are you solving it by

Step-by-step explanation:

Answer:

1 1/12

Step-by-step explanation:

b - 7/4 = -2/3

Add 7/4 to each side

b - 7/4+7/4 = -2/3+7/4

b  = -2/3+7/4

Get a common denominator

b = -2/3 *4/4 + 7/4 *3/3

   = -8/12 + 21/12

    =13/12

   = 12/12 +1/12

    = 1 1/12

Answer:

Point used by Harold was:

(7, 0)

Step-by-step explanation:

Given that

Equation of linear function used by Harold:

[tex]y = 3(x - 7)[/tex]

We know that linear equation in point slope form can be represented as:

[tex]y - y_1 = m(x - x_1)[/tex]

Where [tex](x_1,y_1)[/tex] are the coordinates of a given point.

[tex]m[/tex] is the slope of line.

Formula for Slope, m is given as:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the two points on the line.

If slope and a point with coordinates [tex](x_1,y_1)[/tex] is know, the equation of a line can be represented in linear form as:

[tex]y - y_1 = m(x - x_1)[/tex] ....... (1)

Now, the given equation is:

[tex]y = 3(x - 7)[/tex]

Re-writing the equation with a slight modification:

[tex]y-0 = 3(x - 7)[/tex]

Now, comparing the above equation with equation (1):

We get that:

[tex]x_1=7\\y_1=0[/tex]

So, the point used by Harold is (7, 0).

Answer:

(7,0)

Step-by-step explanation:

Step-by-step explanation:

The first differences are 7,9,11,13,15,17 and the second differences are 2.

This means that the first term of the sequence is n^2.

Subtracting n^2 from the sequence gives 6,10,14,18,22,26, which has nth term of 4n + 2.

So putting these together gives a nth term of the quadratic sequence of n^2 + 4n + 2.

Hope it helped and tell me if I went wrong :)

Answer:

The information given in the question to solve it is insufficient.

The complete question related to this found at GMAT club forum is stated below:

Steve works at an apple orchard and is paid by the bushel for the apples he harvests each day. For the first 42 bushels Steve harvests each day, he is paid y dollars per bushel. For each additional bushel over 42, he is paid 1.5y. How many bushels of apples did Steve harvest yesterday?

1. Yesterday, Steve was paid $180 for the apples he harvested.

2. Today, Steve was paid $240, and he harvested 10 more bushels of apples than he harvested yesterday.

Step-by-step explanation:

1st 42 bushels Steve harvests each day:

Payment of 1 bushel = y dollar

Payment of ≤ 42 bushel = 42× y = $42y

Payment for Additional bushel after the 1st 42 bushels = 1.5y per bushel

Yesterday's Payment = $180

Today's payment = $240

Let the total number Steve harvested yesterday = p

Today he harvested 10 more bushels than he did yesterday

Total number Steve harvested today = p + 10

Now looking at the information in the question:

First statement did not tell us the amount he harvested that got him that pay, so it's insufficient. Second statement alone two is not sufficient to determine yesterdays pay.

In both statement, we were not told if he harvested more or less than 42 yesterday. Neither were we told if the additional 10 bushels was after he had harvested more than 42 bushels.

Let's assume the additional 10 bushels was after he had harvested more than 42 bushels (that is he harvested 42 yesterday) .

Difference in payment = 240-180 = 60

For the additional 10bushels, he was paid $60

10(1.5y) = 60

15y = 60

y = 60/15 = 4

If y = $4 per bushel and he was paid $180, the number he harvested will be:

4 × number of bushels = $180

4p = 180

p = 180/4 = 45 bushels

p = 45bushels isn't possible because the amount for the first bushels should either be less than or equal to 42

If we make another assumption, let's say he harvested more than 42 yesterday (42 + an additional number), we would get a different answer.

Thus the information given in the question to solve it is insufficient.

Answer:

6) g = 11p

7) This equation is an example of direct variaction because it is proportional because can make a slanted line with the equation C = 6g + 15

Step-by-step explanation:

Well to find g we seperate g and combine like terms,

[tex]81 = 6g + 15[/tex]

So we subtract 15 from both sides 66 = 6g,

66/6 = 11.

So g = 11.

Answer:

m∠x = 98°

Step-by-step explanation:

Step 1: Find the supplementary angle in the triangle

180 - (53 + 45) = 82

Step 2: Use Supplementary Angles to solve for x

180 - 82 = 98°

Answer:

1/3000

Step-by-step explanation:

3 meters to centimeters:

3 × 100 = 300

= 1/10 ÷ 300

= 1/10/300

= 1/(10×300)

= 1/3000

Answer:

0.

Step-by-step explanation:

Fair dice are dice that have 6 sides, and the probability of rolling a side is the same as rolling another.

Since each die has 6 sides, the most you can get from the two dice are 6 + 6 = 12. Therefore, getting a 13 is impossible. So, there is a probability of 0.

Hope this helps!

Answer:

1080

Step-by-step explanation:

Answer: h(-9)=4*(-9)-2=-36-2=-38

-38 is ur answer

Answer:-38

Step-by-step explanation:h(x) =4x -2

H(-9)

substitute for x using -9

H(-9) =4x -2

4(-9) -2

-36-2

H(-9) =-38

Answer: A

Step-by-step explanation: 2(−3k−5) = (2)(−3k+−5) = (2)(−3k)+(2)(−5) = −6k−10

Answer:

  B. 5 seconds

Step-by-step explanation:

A graphing calculator shows the answer easily.

__

h(t) = 0 = -16t^2 +400

t = √(400/16) = 5

It will take 5 seconds for the sandbag to hit the ground.

Answer:

X = 25

Step-by-step explanation:

We can calculate the value of x using Euclidean theorem

15^2 = 9 × x

225 = 9x divide both sides by 9

25 = x

Answer:

0.471

Step-by-step explanation:

Calculation for the probability that they spend less than $2,000 per year on insurance per year

First step is to find the base

Base =$2,000-$400

=$1,600

Second step is to find the probability using this formula

P=1/b+a×base

Where,

b represents $3,800

a represents $400

base represents $1,600

Let plug in the formula

P=1/$3,800-$400×$1,600

Hence,

P=1×$1,600/$3,800-$400

P=$1,600/$3,400

P=0.471

Therefore the probability that they spend less than $2,000 per year on insurance per year will be 0.471