Mathematics Middle School

What is the length of the diagonal of a 10cm by 15com rectangle

Answers

Answer 1

a2 + b2 = c2

102 + 152 = c2

100 + 225 = c2

√325 = c

5√13 = c

The diagonal measures 5√13 cm.

Related Questions

Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.

Which polling methods are likely to be biased?

Select each correct answer.

A. Five of Janine's friends are selected and asked for whom they intend to vote.

B. From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.

C. Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.

D. Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.

Answers

A and D are the most biased answers. Your welcome.

I need help on question #84 !

Answers

Area of whole thing is 900
900=l*w
Since it is a square they are the same length so the answer to this part is 30
30-6 gives you the remainder which is 24
You have a sidewalk on both sides so you divide by 2
24/2=12
12 should be the width

Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the bestestimate of the speed Morris is traveling?

1 mile = 5,280 feet

45 miles per hour

46 miles per hour

47 miles per hour

48 miles per hour

Answers

3 ft/s * (3600 s/h) * (1 mi)/(5280 ft) = 45/22 mi/h ≈ 2.045 mi/h

Morris's speed is about 50 mi/h -2.045 mi/h = 47.955 mi/h ≈ 48 mi/h

The 4th selection is appropriate.

Answer:

Step-by-step explanation:

Solve z3+3z2−25z−75=0 .

Answers

z^3 + 3z^2 -25z - 75 = 0
Factor out common terms in the first two terms, then in the last two terms
z^2(z+3)−25(z+3)=0
Factor out the common term z+3
(z+3)(z^2−25)=0
Ask: When will (z+3)(z^2−25) equal zero?
When z+3=0 or z^2−25=0
Solve each of the 2 equations above
z=−3,±5

Hope this helps

The strategy we were introduced to says to _________ as the last step before you declare that you have completed the problem. Look back to see whether you solved the problem that was given Check your math Re-read the problem just in case. Use a calculator to double check your work.

Answers

Use a calculator to double check your work.

Instructions: Select the correct answer.

If the radius of a flying disc is 7.6 centimeters, what is the approximate area of the disc?

A. 23.864 square centimeters

B. 90.6832 square centimeters

C. 181.3664 square centimeters

D. 238.64 square centimeters

Answers

The formula for the area of a circle (in this case, the disc) is
[tex]\pi {r}^{2} [/tex]
So, we apply the given radius to the formula to give us our answer:
[tex]\pi \times {7.6}^{2} = 181.4583917[/tex]
So, your approximate answer is C.

Answer:

the answer would be C

Step-by-step explanation:

what is equivalent to 3 to the negative 2nd power

Answers

3 to the negative second power is written like this: [tex] 3^{-2} [/tex].

When simplifying an expression with a negative exponent, you take a positive version of the exponent, in this case that would be 2, and apply that to the base.
After doing that, we have 9.
The next step is to put one over that number.
In this case, now after doing that the answer is [tex] \frac{1}{9} [/tex].

Hope this helps!

A spinner is divided into equal parts 1-5. George spun the spinner 300 times

Answers

2 and 4 are the only even numbers, so add the two and divide by 300. 66+72 = 138/300 = 23/50 or .46 or 46%

three friends go to the local farmers market. latasha spends $3.35. helen spends 4 times as much as latasha. Dee spends $7.50 more than helen. how much does Dee spend?

Answers

3.35 times 4 is 13.40 and then you add 7.50 more to 13.40 which gives you 20.90 which is how much dee spent

Solve the system of linear equations by elimination.

x+y=3
x−y=1
I need the solution so ordered pair (x,y)

Answers

x+y=3
+ x-y=1
2x=4
x=2

x+y=3
2+y=3
-2. -2
y=1

(2,1)

the first x is 2 and the second x is 2,1

i need to know what the variable of x is please explain

Answers

The answer is: x = 36

i think its x=36 hope this explains it

amy has 30 grams of flour. she puts 4 grams of flour in each pot of chowder that she make. she puts 5 grams of flour in each pot of potato soup that she makes. she makes 4 pots of chowder. does amy have enough flour left over to makes 3 pots of potato soup.

Answers

No because if she has 30 grams of flower, 16 are being used by the chowder. She would only have 14 grams of flour left and she would need 15 for 3 pots of potato.

After using 16 grams of flour to make 4 pots of chowder, Amy has only 14 grams of flour left, which is not enough to make 3 pots of potato soup, each requiring 5 grams of flour.

To solve this problem, we need to calculate the total amount of flour Amy uses for the chowder. Since she makes 4 pots of chowder, she would need:

4 pots × 4 grams/pot = 16 grams of flour

After making the chowder, Amy would have 30 grams - 16 grams = 14 grams of flour left.

Amy wants to make 3 pots of potato soup, and each pot requires 5 grams of flour. Therefore, she would need:

3 pots × 5 grams/pot = 15 grams of flour for the potato soup

Since Amy has only 14 grams of flour remaining, she does not have enough flour to make 3 pots of potato soup.

Describe a real-world situation that the graph could represent

Answers

You could say one person is at 1:5 and say they moved up and up

!!!15 POINTS!!! A rectangle is 13 yards long and 23 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form.

Answers

Answer:

i think the answer should be

2/9 yd2

hope i helped :)

The required area of the rectangle with dimensions 13 yards long and 23 yards wide is 299 square yards.

How to calculate the area of the rectangle?

In order to evaluate the area of the rectangle we must know the length and width of the rectangle and put this measure of length and width of the rectangle in the formula of area,
Area of the rectangle = length × width

Here,
From the question,
we have length = 23 yard and width = 13 yards

Area of the rectangle = 23 × 13
= 299 square yards

Thus, the required area of the rectangle with dimensions 13 yards long and 23 yards wide is 299 square yards.

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give all of the possible numbers that could be hals mystery one-digit number

Answers

Mystery one-digit number
Well... all of the possible numbers must have only one digit
1, 2, 3, 4, 5, 6, 7, 8, 9, 0 are all possible numbers.

Hope this helps

In triangle XYZ, the length of side XY is 29 mm and the length of side YZ is 43 mm. Which of the following could be the length of side XZ?

Answers

The possible length of side XZ could be 50 mm

Which could be the length of side XZ?

From the question, we have the following parameters that can be used in our computation:

The length of side XY = 29 mmThe length of side YZ = 43 mm

Using the triangle inequality theorem, we have

Smallest length of XZ = 43 - 29

Smallest length of XZ = 14

Largest length of XZ = 43 + 29

Largest length of XZ = 72

So, we have

Range: 14 < x < 17

This means that the length of side XZ could be 50 mm because 50 is in the range 14 < x < 17

Question

In triangle XYZ, the length of side XY is 29 mm and the length of side YZ is 43 mm. Which of the following could be the length of side XZ?

10 mm

89 mm

50 mm

3 mm

For the data set summarized in the boxplot, identify the interquartile range (IQR).
A) 22.0
B) 37.5
C) 57.0
D) 59.0

Answers

The interquartile range of the data set summarized in the boxplot is 22.

What is the interquartile range?

The interquartile range is the difference between the third quartile and the first quartile. On a boxplot, the third quartile is the third line on the box and the first quartile is the first number on the box.

Interquartile range = 70 - 48 = 22

To learn more about box plots, please check: https://brainly.com/question/27215146

On average, 75% of the days in Henderson county are sunny, with little or no cloud cover. Describe a model that you could use to find experimental probability of sunny days each day for a week in Henderson county.

Answers

We have that the probability to have a sunny day is approximately 75%. Hence, the probability that we have 2 sunny days in a row is 75%* 75% (we are kind of assuming that the weather of a day plays no role on the weather of the next day, which is not completely true). That is because for it to 2 sunny days, both days have to be sunny. It is analogous to a coinflip; the chance we get 2 heads is 50%*50%, the chance we get 3 heads is 50%*50%*50% and so on. Hence, we have that the chance that a week is sunny in the county is 75% to the seventh power. This yields that the chance is around 13.3%

One possible model is:

You could place 3 red marble and 1 blue marble in a bag. The probability of drawing a red marble would be 3/4, which is 75%; this means red marbles would be sunny days and blue marbles would be cloudy days.

Each draw out of the bag would represent one day of the week. Draw a marble 7 times, replacing it after each draw. This would represent the weather for the days of the week.

What do ranges compare

Answers

Answer: A range compares the highest and lowest value in a data set.

Range compares the spread of the data.

I'll give brainliest if you show your work.
Jeremy surveyed students in his class about their spending habits in the school cafeteria. He used the data to create a scatterplot.

How Students Spend Money in the Cafeteria
Which is the equation of his trend line?
y= 2.75x
y= 3.05x- 0.6
y= 3.25x- 1
y= 9.75x- 14

Answers

Answer:

[tex]y=3.25x-1[/tex]

Step-by-step explanation:

step 1

Find the slope

we have the points

(2,5.5) and (5,15.25)

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute

[tex]m=\frac{15.25-5.5}{5-2}[/tex]

[tex]m=\frac{9.75}{3}=3.25[/tex]

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

[tex]m=3.25\\point\ (2,5.5)[/tex]

substitute

[tex]5.5=3.25(2)+b[/tex]

solve for b

[tex]b=-6.5+5.5=-1[/tex]

therefore

[tex]y=3.25x-1[/tex]

Answer: c

Step-by-step explanation:

What is the best estimate for the sum of 3/8 and 1/12

Answers

you should estimate it to 7/8

We can use the bench marks for fractions which are 0, 1/2, and 1 . We need to figure out what benchmark 3/8 is closest to which is 1/2 or we can say 4/8 to make it more easier. Now we can look at 1/12 . 1/12 is closer to 0. If we’re looking for the sum, we need to add 1/2 with 0. 1/2+0= 1/2. 1/2 is your answer.

An element with mass 780 grams decays by 17.1% per minute. How much of the element is remaining after 19 minutes to the nearest 10th of a gram

Answers

Step 1
Formulate a recursive sequence modeling the number of grams after n minutes.
we have that
100%-17.1%-------------- > 82.9%------------> 0.829

a(n) = 780*[0.829^n]

for n=19 minutes
a(19)=780*[0.829^(19)]=22.1121 g---------------> 22.1 g

the answer is 22.1 g

Answer:

Just 22.1

Step-by-step explanation:

if you dont want to see step by step like the one above just put in 22.1

Now reverse your process to describe the pattern represented by the rule y = −2x + 13. Be as detailed as you can. HEEELLLLLLLLLPPPPP PLEAAASEEE

Answers

the y intercept is 0,13

Terrance has one fewer sibling than Casey. Kolbie has three more siblings than Terrance

Answers

if Terrance has x siblings then Casey has x+1silblings and Kolbie has x+3siblings. what are you trying to solve??

Final answer:

By setting up simple equations based on the given statements, we can determine the relative number of siblings that Terrance, Casey, and Kolbie have.

Explanation:

Based on the provided statements, we can set up a system of simple algebraic equations to solve for the number of siblings each person has. Let's assume Casey has C siblings. According to the given information:

Terrance has one fewer sibling than Casey, which can be represented as T = C - 1.

Kolbie has three more siblings than Terrance, which can be represented as K = T + 3.

Therefore, Kolbie's equation becomes K = (C - 1) + 3 or K = C + 2 after simplifying. Through these relationships, we can understand the relative number of siblings each individual has.

which number dose 5 represent a value 10 times the value represented by 5 in 35,187

Answers

The thousands is the answer and you spelled does wrong

In 35,187, the digit 5 represents 50,000. Ten times this value is 500,000. Therefore, in the new number, the digit 5 represents 500,000.

To find the value represented by the digit 5 in the number 35,187, we need to consider its place value. In the given number, 5 is in the ten-thousands place, which means it represents 5 * 10,000 or 50,000.

Now, we're asked to find a number where 5 represents a value ten times that of its representation in 35,187. So, we need to multiply 50,000 (the value represented by 5 in 35,187) by 10.

50,000× 10 = 500,000.

Therefore, in the new number, the digit 5 represents 500,000.

To summarize, the number where 5 represents a value ten times its representation in 35,187 is 500,000.

complete question=

Which number represents a value 10 times the value represented by 5 in 35,187?

The ordered pairs (1, 3), (2, 6), (3, 9), (4, 12) and (5, 15) represent a function. What is a rule that represents this function? a: y=x^3 b: y= 3^x c: y=3x d: y= x+3

Answers

In case you don't know your times-3 numbers well enough to recognize the answer right away, you can check the second data point.
.. a. 2^3 = 8 ≠ 6
.. b. 3^2 = 9 ≠ 6
.. c. 3*2 = 6
.. d. 2 +3 = 5 ≠ 6

Only selection C makes sense.

Answer: option c: y = 3x

Justification:

All the ordered pairs meet that the second number of the pair equal 3 times the first number of the pair:

Here is the proof:

Pair         first number times 3   second number of the pair

(1, 3)         3 * 1 = 3                         3   => check

(2,6)          2 * 3 = 6                         6   => check

(3,9)          3 * 3 = 9                         9   => check

(4,12)        3 * 4 = 12                      12 => check

(5, 15)       3 * 5 = 15                      15 => check.

So, all the pairs meet the rule y = 3x

in a art class,40% of the students used watercolors for painting.Ten students in art class used watercolors.How many students were there in the class

Answers

There are 25 students Work

This cylindrical fish tank has a height of 36 inches and a diameter of 30 inches. What is the volume of the fish tank?

Answers

The formula for the volume of a cylinder is:
area of cross-section x the height.

First lets work out the area of the cross-section. Since the cross-section is a circle, we use the formula π x r²

Halve the the diameter to get the radius, so we can use the formula:
30 / 2 =15

Area of cross-section
π x 15² = 706.8583471 inches²

Now that we know the area of the cross-section, we multiply this by the height to get the volume.

706.8583471 x 36 = 25446.90049
= 25446.90 (2dp)

So the volume of the cylindrical fish tank is 25446.90

The volume of the cylindrical fish tank is 25446.90 inches cube.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The formula for the volume of a cylinder is:

The area of cross-section x the height.

Since the cross-section is a circle, we use the formula π x r²

Radius= 30 / 2 =15

Thus, Area of cross-section

π x 15² = 706.8583471 inches²

Now that we know the area of the cross-section,

706.8583471 x 36 = 25446.90049

= 25446.90 (2dp)

So. the volume is 25446.90

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What is the area of a square rug that measures 6 feet on a side? 3 square feet 24 square feet 12 square feet 36 square feet

Answers

Well we know the area of a square is l*w, or s^2. So we can use s^2 where s=6 in your case. Now 6^2 is 6*6, which is 36.

So the area of a square rug that measures 6 feet is 36 feet

Answer= 36 feet

36ft is the area of a square rug that measures 6ft on a side.

how to find answers for 4th grade Mixed number addition homework link 5 - 4?

Answers

Can us show us the problems.

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