Work out the length of x

Work Out The Length Of X

Answers

Answer 1

Answer:

x = 25

Step-by-step explanation:

we are given a right triangle and the measure of its two legs .

x represents the length of the hypotenuse.

……………………………………………………………………

Then (by applying the Pythagorean theorem) we obtain :

[tex]x=\sqrt{24^{2}+7^{2}}[/tex]

  [tex]=\sqrt{576+47}[/tex]

  [tex]=\sqrt{625}[/tex]

  [tex]=25[/tex]


Related Questions

Solve the inequality.
-3(4n+1) < -6(2n-6)

Answers

Answer:

no solution

Step-by-step explanation:

Given :

-3(4n+1) < -6(2n-6)

Divide by -3 on each side (and remember to change the sign) :

-1/3 x -3(4n+1) < -1/3 x -6(2n-6)

4n + 1 > 2(2n - 6)

Expand the RHS :

4n + 1 > 2(2n) - 2(6)

4n + 1 > 4n - 12

Solution :

As the coefficient of x is the same on both sides, and the constants are different, this inequality has no solution

Answer:

Given inequality:

-3(4n + 1) < -6(2n - 6)

Expand the brackets:

⇒ -12n - 3 < -12n + 36

Add 12n to both sides:

⇒ -12n - 3 + 12n < -12n + 36 + 12n

⇒ -3 < 36

Solution:  True for all n

Interval Notation: (-∞, ∞)

The length of a rectangle is 3m less than double the width, and the area of the rectangle is 65m^2 .
What is the length & width of the rectangle?

Answers

By solving a quadratic equation, we will see that the length is 10m and the width is 6.5m

How to find the length and width of the rectangle?

For a rectangle of width W and length L, the area is:

A = W*L

In this case, we know that the area is 65m² and that the length is 3 meters less than 2 times the width, so:

L = 2*W - 3m

Then we can write:

65m² = (2*W - 3m)*W = 2*W² - 3m*W

This is a quadratic equation:

2*W² - 3m*W - 65m² = 0.

The solutions are given by the Bhaskara's formula:

[tex]W = \frac{3 \pm \sqrt{(-3)^2 - 4*2*(-65)} }{2*2} \\\\W = \frac{3 \pm 23 }{4}[/tex]

We only care for the positive solution, which is:

W = (3m + 23m)/4 = 26m/4 = 6.5m

Then the length is:

L = 2*6.5m - 3m = 10m

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What is the angle of rotation of the figure?
300

Answers

Answer:

The angle of the figure is 90°

The seventh-grade students at Charleston Middle School are choosing one girl and one boy for student council. Their choices for girls are Michaela (M), Candice (C), and Raven (R), and for boys, Neil (N), Barney (B), and Ted (T). The sample space for the combined selection is represented in the table. Complete the table and the sentence beneath it.


Boys
Neil Barney Ted
Girls Michaela N-M
T-M
Candice N-C
T-C
Raven N-R

T-R

Answers

The new sample size based on the information will be B-M, B-C, B-R, 8.

What is a sample size?

Sample size is the number of participants or observations that are included in a study. This is usually represented by n.

When the boys and girls are to be chosen, the new sample size based on the information will be B-M, B-C, B-R, 8.

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Answer:

Step-by-step explanation:

B-M, B-C, B-R, 8.

48 / 48 hrs Completed, Read watch every Single thing and answer it in comments.

48 / 48 = ?

Answers

Answer:

1

Step-by-step explanation:

48 / 48 = 1

Jill, Ally, and Maria ran the 50-yard dash. Jill ran the race in 6.87 seconds. Ally ran the race in 6.82 seconds. Maria ran the race in 6.93. Who ran the race the fastest? Explain how you can use a place-value chart to find the answer.

Answers

Answer:

Ally

Step-by-step explanation:

The fastest time of the race will be the one lesser in value.

=============================================================

Comparing the tenths place :

⇒ Jill = 8 in the tenths place

⇒ Ally = 8 in the tenths place

⇒ Maria = 9 in the tenths place

Since Maria's time's tenth place value is greater than that of the other two, she had the slowest time.

===========================================================

Comparing the hundredths place (for Jill and Ally) :

⇒ Jill = 7 in the hundredths place

⇒ Ally = 2 in the hundredths place

Since Ally has the lower hundredths' place value, she has the fastest time.

The median height of the players on my basketball team is 6 feet, A inches. What is the shortest that the tallest player on the team could possibly be?

Answers

The median height is the middle height when the players are put in order of height.
The heights of all the players above the median could also be 6 feet A inches.
So the shortest height of the tallest person is 6 feet A inches.

For a simple example, what is the median value of 3, 4, 5, 6, 6, 6, 6. The answer is 6, the middle value.

Simplify (2^5/3^2)^4 I need help asap within 10 min

Answers

Answer:

[tex]\frac{2^{20} }{3^{8} }[/tex]

Step-by-step explanation:

Exponent Multiplication Rule :

[tex](\frac{x^{a} }{y^{b} } )^{c} = \frac{x^{ac} }{y^{bc} }[/tex]

=============================================================

Solving :

⇒ [tex](\frac{2^{5} }{3^{2} } )^{4}[/tex]

⇒ [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]

⇒ [tex]\frac{2^{20} }{3^{8} }[/tex]

what is the answer to 7 times 6

Answers

7 times 6 is 42
Hope that helps!!

Answer:

[tex]7 \times 6 = 42[/tex]

f(x) = x². What is g(x)?

Answers

Answer:

Which class is this

I can't believe the question

What is the surface area of the solid that this net can form?
13 cm
5cm
13cm
5 cm
13 cm
106 square centimeters
150 square centimeters
210 square centimeters
270 square centimeters
O 210
12 cm
12cm
13cm
5cm
5cm
5cm
5 cm

Answers

Answer:C Or 210 Sc

Step-by-step explanation:

The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown in the table below.

Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 400 meter Relay Track Teams

Team A
Team B
Mean
59.32 s
59.1 s
Mean Absolute Deviation

1.5 s

2.4 s

What is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B?
0.09
0.15
0.25
0.65

Answers

The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

What is mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The difference between the mean times is about 16 times the mean absolute deviation of the data set.

59.32 - 59.1 = 0.22

2.4 - 1.5 = 0.9

0.22 / 0.9 = 0.25

Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.

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Answer:

c

Step-by-step explanation:

Describe the slope of this line of best fit

Answers

Answer:

there is no line

Find the common denominator needed to subtract the following fractions. 5/6 -2/7 =

Answers

Answer:

42

Step-by-step explanation:

We need to find the Least Common Multiple (that isn't 0) between 6 and 7. To do this, list each number's multiples.

Multiples of 6: 0, 6, 12, 18, 24, 30, 36, 42, 48, 54

Multiples of 7: 0, 7, 14, 21, 28, 35, 42, 49, 56, 63

Their LCM is 42. Now, we multiply the fractions so the denominators are both 42. !You have to multiply both the numerator and denominator by the same number! For 6, 6*7 is 42, so you multiply both 6 and 5 by 7. When you do this, you get 35/42. For 7, 7*6 is 42, so you have to multiply both 7 and 2 by 6. When you do this, you get 12/42. The new problem is 35/42-12/42.

Hope this helps!

The weight of a bag of Brand A cookies is labeled as 3 ounces on the bag. However, the actual weights of the bags vary by a small amount. According to the packaging specifications, the weights are approximately normally distributed with a mean of 3.05 ounces and a standard deviation of 0.06 ounce. Select the number to complete the sentence. According to the specifications, approximately percent of the bags weigh 3.00 ounces or more​

Answers

Using the normal distribution, it is found that approximately 79.67% of the bags weigh 3.00 ounces or more​.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 3.05, \sigma = 0.06[/tex]

The proportion of the bags that weigh 3.00 ounces or more​ is one subtracted by the p-value of Z when X = 3, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 3.05}{0.06}[/tex]

Z = -0.83

Z = -0.83 has a p-value of 0.2033.

1 - 0.2033 = 0.7967 = 79.67%.

79.67% of the bags weigh 3.00 ounces or more​.

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7. What is the value of x?

Answers

Answer:

29


the triangle on the right has 2 sides the same so the lower two corners have the same angle which would be (180-64)/2 = 58 degrees


the lower right angle of the triangle on the left Sadie would be 180-58 = 122.

Since 2 sides of the triangle on the left are the same the other two angles would be equal to each other.

x = (180-122)/2 = 29 degrees

Answer:

x = 29°

Explanation:

The triangle on right side is an isosceles triangle with two similar angles.

Let that angle be z:

⇒ z + z + 64° = 180°

⇒ 2z = 180° - 64°

⇒ 2z = 116°

⇒ z = 58°

After finding z, find the opposite angle:

⇒ 180° - 58° = 122°

Find the value of x:

⇒ x + x + 122° = 180°

⇒ 2x = 180° - 122°

⇒ 2x = 58°

⇒ x = 29°

Practise the Skill 5
a) Josie is going to a conference in 48 hours
How many days is this?

Answers

There are two days in fourty-eight hours

find the area of the triangle ABC

Answers

Answer:

1/2 x 8 x 6
answer: 24

Step-by-step explanation:

formula of area of triangle= 1/2 x base x height

Using the change-of-base formula, which of the following is equivalent to the
logarithmic expression below?
log5 13

Answers

Answer:

See below

Step-by-step explanation:

There could be INFINITE possibilities....(you didn't list any choices to choose from)

 here is one to change to base 10

     log5 ( 13)   =   log10 ( 13) / log10 ( 5)  

el cociente de un numero y 6

Answers

Answer:

No Hablo Espaniol

Step-by-step explanation:

A wholesaler gets 1.5% commision on the total annual sales and a bonus of 2% on the sales above Rs. 20,00,000. If, in a particular yearm the wholesaler recieved as bonus and commision the sum of Rs. 65000 in all, find the total sales of the year.

Answers

The total sales of the year after is Rs. 1857143

How to find the total sales after commission?

He gets 1.5% commission on the total annual sales and a bonus of 2% on the sales above Rs. 20,00,000.

Therefore, since he received a bonus, the sale is over Rs. 20,000.

Hence,

let

x = total sales

Therefore,

1.5% of x + 2% of x   = 65000

1.5 / 100 × x + 2 / 100 × x = 65000

0.015x +0.02x = 65000

0.035x = 65000

x = 65000 / 0.035

x = 1857142.85714

Therefore,

total sales = Rs. 1857143

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ABCD is a parallelogram. Determine the length of AD.

Answers

Answer:

  D)  10 units

Step-by-step explanation:

Opposite sides of a parallelogram are congruent.

__

setup

The relation between opposite sides tells you ...

  BC = AD

  2x = x +5

solution

  x = 5 . . . . . . . subtract x from both sides of the equation

We want the length of AD, which is ...

  AD = x +5 = 5 +5

  AD = 10

_____

Additional comment

Often, it seems like the question is answered once the value of x is found. Here, finding the value of x is an intermediate step. The value of x is needed in order to be able to answer the question about the value of an expression involving x.

Answer:

10

Step-by-step explanation:

→ Equate both sides of the parallelogram as they are equal

2x = x + 5

→ Solve

x = 5

→ Resubstitute for the length AD

5 + 5 = 10

Logic and proof , need help asap

Answers

Answer:

Step-by-step explanation:

Please Simplify
3(4x2+2x)+2(5x2+x)

Answers

what please explain in the comments so i can help you :)
2x(11x + 4) is the simplified equation

The area of Louisiana is approximately 4 x
104 square miles. The area of the United
States is approximately 225 times greater
than the area of Louisiana. What is the
approximate area of the United States?

Answers

Answer:

93,600

Step-by-step explanation:

4x104= 416

416x225 = 93,600

Julie puts 67 blue buttons in a bag. This number is 13 more than half the number of red buttons. The number of yellow buttons is one quarter the number of red buttons. How many yellow buttons are there in the tin?

Answers

Answer:

[tex]13 \times 1 \div 67 [/tex]

an elevator descends into a mine shaft at the rate of 6 m/min. if the descent starts from 10m above the ground level, how long will it take to reach -350m.

Answers

Distance descended is denoted by a negative integer,

Initial height =+10 m

Final Depth =−350 m

Total distance to be descended by the elevator =(−350)−(+10)=−360 m

Given, the time is taken by the elevator to descend −6 m=1 minute

Thus, time taken by the elevator to descend −360 m=
(−6)
(−360)

------- [from the formula : speed=
time
distance

]

Answer =60 minutes
Was this answer helpful?

Which of the following numbers is not an integer? A -32 B 80 C 5.81 D 0 O

Answers

Answer: C.5.18 because you cant have a decimal as an integer

Step-by-step explanation: brainliest???

Question 2 of 8
Which choice is equivalent to the fraction below?
17/2
O A. 7.12
OB. 7-12
O C. 12 ÷7
O D. 7 ÷ 12

Answers

Answer: [tex]17 \div 2[/tex]

Step-by-step explanation:

[tex]a/b[/tex] is the same thing as [tex]a \div b[/tex]

Solve for the variable: 4+3(x+22)=5x-10

Answers

When we solve the equation, we will get the real answer x=40 as a variable.

First Degree Equation

First degree equation is a mathematical sentence, which has values represented by letters.

These letters can indicate a variable or an unknown - which at the end of the equation will be the final value.

— To solve this equation, just: apply the distributive property (multiply the terms that are outside the parentheses, for the terms that are inside the symbol).

— Next, let's add the real numbers together. Next, we'll subtract the like terms before the equality, thus moving the common term after the equality by adding.

— Finally, let's divide the equation, thus obtaining the final result.

4 + 3(x + 22) = 5x - 10

4 + 3x + 66 = 5x - 10

70 + 3x = 5x - 10

3x - 5x = -10 - 70

-2x = -80

x = 80 ÷ 2

x = 40

Therefore, the correct value of X in this equation, will be x = 40.

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