A rectangle has a height of 5 cm and a diagonal of 10 cm. What is the length?

Answers

Answer 1

The length of the rectangle is approximately 8.66 cm.

To solve this problem

The Pythagorean theorem can be used to resolve this issue. Theorem states that the square of the hypotenuse (in this case, the diagonal) in a right triangle is equal to the sum of the squares of the lengths of the other two sides.

Let's denote the length of the rectangle as 'l'.

Given:

Height = 5 cm

Diagonal = 10 cm

Using the Pythagorean theorem, we have:

\(l^2 + 5^2 = 10^2\)

\(l^2 + 25 = 100\)

\(l^2 = 100 - 25\)

\(l^2 = 75\)

Taking the square root of both sides, we get:

l = √75

l ≈ 8.66 cm

Therefore, the length of the rectangle is approximately 8.66 cm.

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Related Questions

(I need to make sure)
Which pair of numbers has the greatest GCF?
A = 140 and 210
B = 130 and 390
C = 240 and 320
D = 550 and 880

Answers

i think it’s C not completely sure tho

Answer answer please please

Answer answer please please

Answers

Answer: The answer is the first choice ( >)

Step-by-step explanation: 4.3 × 10⁶ = 4300000 . 12.1 × 10⁵ = 1210000 . So 4300000 is greater than 1210000 . HOPE IT HELPS YOU . PLEASE GIVE BRAINLIEST . THANKS .

Find the surface area of the triangular prism.

Find the surface area of the triangular prism.

Answers

Answer:

159

Step-by-step explanation:

5×7×3+ 9×6÷2×2

=105+54

=159 cm²

Find the greatest possible error for each measurement. 1 1/4

Answers

Answer:

12 should be 1 as in 1 foot. 1' 1/4"

Step-by-step explanation:

Is the function shown linear or nonlinear?
Explain your answer.

Is the function shown linear or nonlinear?Explain your answer.

Answers

Non linear because linear lines go up an not down I think

there are five unmarked envelopes on a table, each with a letter for a different person. if the mail is randomly distributed to these five people, with each person getting one letter, what is the probability that exactly four people get the right letter?

Answers

The probability that exactly four people get the right letter is 1/120.

Let the people form a line and the envelopes are on the table.

The first person has a 1 in 5 chance of selecting the right letter.  (He selects the correct one)

Now there are 4 on the table so the second person has a 1 in 4 chance of getting the right one (He selects the correct one)

Now there are 3 on the table so the second person has a 1 in 3 chance of getting the right one (He selects the correct one)

Now there are 2 on the table so the second person has a 1 in 2 chance of getting the right one (He selects the correct one)

and so on

so

P(everyone getting the correct letter) = 1/5*1/4*1/3*1/2*1/1=1/5!=1/120.

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Maria has 64 flowers. She makes 8 bouquets with the flowers. How many bouquets of flowers will she have if she has 80 flowers?​

Answers

Answer:

10 bouquet of flowers

Step-by-step explanation:

64÷8=8

80÷8=10

a survey asked 10 boys and 10 girls how many hours they spent playing video games the previous week. the number of hours are given in the line plots. select from the drop-down menus to complete each statement. the data set with the greater range is

Answers

The statement "The data set with the greater range is boys" is correct. To determine which data set has the greater range, we need to compare the ranges of the number of hours spent playing video games.

The range of a data set is the difference between the maximum and minimum values. Let's compare the ranges for boys and girls: For boys: The minimum value is 1 hour. The maximum value is 9 hours. Range for boys: 9 - 1 = 8 hours.

For girls: The minimum value is 2 hours. The maximum value is 7 hours. Range for girls: 7 - 2 = 5 hours. Comparing the ranges, we find that the data set with the greater range is the data set for boys, which has a range of 8 hours. Therefore, the statement "The data set with the greater range is boys" is correct.

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A rectangular carpet is 2 times as long as it is wide. Its width is 5
yards. What is the perimeter of the carpet?

Answers

Answer:

30 units

Step-by-step explanation:

If the w=5 and we know that the length is 2(5)=10

For perimeter, there are two sides.

2(10)+2(5)=30 units

I would say 30 units

5/25^x =25
How do I solve for x

Answers

See the picture below

The figure does not have enough information to state that the two triangles are similar. Explain why you can not prove the triangles similar? What additional information would be needed? (worth 20 points)

The figure does not have enough information to state that the two triangles are similar. Explain why

Answers

Answer:

We can't prove it equal because the measures are different, it cannot be proved through AAS, ASA, SAS or SSS

angle U=Angle R

but UW≠ RT &RS

Step-by-step explanation:

A store manager predicts that 60 hats will be sold if each hat costs $20. The manager predicts that 2 less hats will be sold for every $1 increase in price. For what prices can the manager predict that at least 30 hats will be sold?

Answers

40 is ur correct answer

100-60=40 is the number of hat sales the manger can afford to lose 40/4=10

Write and solve an inequality that represents the value of x.

Write and solve an inequality that represents the value of x.

Answers

The inequality would be: x + 2 > 10.

Th value of x is: x

How to Solve Inequality?

To solve an inequality is to find the value of the unknown variable. To do this, isolate the variable as you would to a normal equation.

Given the following:

Height = 10

Base = x + 2

The inequality would be:

x + 2 > 10

Subtract 2 from both sides

x + 2 - 2 > 10 - 2

x > 8

The value of x is: 8.

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Close ties between the members of the group typically are formed during which stage of group development? a. Storming b. Adjourning c. Norming d. Forming

Answers

Close ties between the members of the group typically are formed during the norming stage of group development.

The norming stage of group development is the third stage, where the group begins to establish a sense of cohesion and unity. During this stage, members start to accept each other's ideas and opinions, develop relationships with one another, and establish patterns of communication and interaction. As a result of these positive developments, close ties between the members of the group often begin to form.

In the norming stage, group members also start to identify common goals and work together to achieve them. This shared sense of purpose can further strengthen the bonds between group members and contribute to the formation of close ties.

Overall, the norming stage is an important period of transition for groups as they move from the early stages of forming and storming to a more cohesive and productive group dynamic. The close ties formed during this stage can help to foster a supportive and collaborative environment that benefits the group as a whole.

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Find the slope of the line passing through the points (-6,2), (0,-6).


A-6
B. 2
C. -4/3
DO
E-3/1

Answers

C. -4/3

\(slope = \frac{(y _{2} - y _{1}) }{(x _{2} - x _{1} )} \\ = \frac{( - 6 - 2)}{(0 -( - 6)} \\ = \frac{ - 8}{ 6} \\ = - \frac{4}{3} \)

There are 1.5 litres of water in a bottle.
There are 250 millilitres of water in another bottle.
Work out the total amount of water in the two bottles

Answers

Answer:

1.75 liters

Step-by-step explanation:

250 mililters is a quarter of 1 litre

Why would the median be a better measure of the center than the mean for the following set of data? 3, 4, 4, 4, 5, 6, 7, 23

Answers

Answer:

Step-by-step explanation:

If I found the mean, the answer would be:

3+ 4+4+4+5+6+7+23= 56

56/ 8 = 7


If I found the average value using the median, the answer would be 4.5.


In this set of data, the anomaly is 23 as it is much higher than the other numbers.

The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.

Therefore, the median is better to work out the average in this set of data.


:)

What is the equation of a line with a slope of 6 and a y-intercept of -8

Answers

Answer:

COULD BE Y=6x-8

Step-by-step explanation:

Answer:

y=6x-8

Step-by-step explanation:

I'm using the y=mx+b formula. m always represents the slope, and b the y-intercept. So all I did was plug the numbers in. (This can help with determining the slope and y-intercept as well, btw)

A teacher wants to buy 9 boxes of granola bars for a school trip. Each box usually costs $7, but many grocery stores are having a sale on granola bars this week. Different stores are selling boxes of granola bars at different discounts.

Answers

Answer:

well I think the question's not complete but if that's the question then 9 boxes would cost about $63 dollars. since some stores have a sale, you should add the word 'about' or 'around' with the answer. hope it was helpful ))

The minimum discount teacher will need to buy 9 boxes of granola bars for a school trip is 42.86%.

Complete Question -  

A teacher wants to buy 9 boxes of granola bars for a school trip.

● Each box usually costs $7, but many grocery stores are having a sale on granola bars this week, and different stores are selling boxes of granola bars at different discounts.

● This teacher can spend at most $36 on granola bars. Write and solve an inequality to represent the amount that the granola bars could be discounted so that this teacher can stay within his budget.

Given to us

Cost of a box of granola bars = $7Number of boxer teacher wants to buy = 9Budget of teacher = $36

Assumption

Let's assume that the discount teacher want is x, therefore, the teacher wants to buy a box of granola bars in (100-x) times the price.

The total cost of 9 boxes of granola bars

The total cost of 9 boxes of granola bars

= Number of boxes x Cost of a box of granola bars

= 9 x $7

= $63

Discount teacher will need

As we know the budget of teachers is only $36, the inequality can be written as,

\((100-x)\%\ of\ \$63 \leq \$36\\\\\dfrac{(100-x)}{100} \times 63 \leq 36\\\\(100-x) \leq \dfrac{36 \times 100}{63}\\\\(100-x)\leq 57.14 \\\\ -x \leq -42.86\%\\\\ x \geq 42.86\%\)

Hence, the minimum discount teacher will need to buy 9 boxes of granola bars for a school trip is 42.86%.

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A technical machinist is asked to build a cubical steel tank that will hold 340 L of water.Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.01 m.

Answers

ANSWER:

0.7 m

STEP-BY-STEP EXPLANATION:

The first thing is to convert the liters to cubic meters, like this:

\(340\text{ L}\cdot\frac{1000\text{ mL}}{1\text{ L}}\cdot\frac{1cm^3}{1\text{ mL}}\cdot\frac{1m^3}{1000000{}cm^3}=0.340m^3\)

Volume of any cube = x^3,

where,

x = length of each side.

Therefore:

\(\begin{gathered} x^3=0.340 \\ \text{ solving for x} \\ x=\sqrt[3]{0.340} \\ x=0.6979\cong0.70\text{ m} \end{gathered}\)

please help for algebra 1

please help for algebra 1

Answers

Answer:

A: first choice

x^4

Step-by-step explanation:

When you divide two powers with the same base, you subtract the exponents, not divide.

The step x^8/x^4 is correct.

The next step should be x^(8 - 4), not x^8/4.

The correct simplification is x^4.

Answer:

A: first choice

x^4

Which
equation represents a line that passes through (-2, 4) and has a slope of 2/5?

Answers

Answer:y - 4 = 2/5(x + 2)

Step-by-step explanation:

Mark me brainliest

Solution set for the inequality for 4 - 5G greater than 39

Answers

Answer:

G < -7

Step-by-step explanation:

We can create an equation first with what the problem provides:

4 - 5G > 39

Now, since the question asks for the solution, we can solve for G:

-5G > 39-4

-5G > 35

-G > 7

Since G is still a negative, we need to switch the inequality around:

(-1)(-G) > (7)(-1) (To cancel out the negative)

G < -7

I need help on this ASAP

I need help on this ASAP

Answers

Answer:

B and D

Step-by-step explanation:

Distributive property on 3(c-3) is 3c-12=20. D is the same. Divide instead.

Answer:

the 2nd and 4th one

Step-by-step explanation:

4( c - 3 ) = 8

you can either distribute the 4 which means multiply whats inside of the parenthesis by 4 , 4 * c = 4c and 4 * -3 = -12 to get 4c - 12 = 8

or you can divide both sides by 4 which will get you c - 3 = 2

4(c-3)/4 = c - 3

8/4 = 2

c - 3 = 2

an item is regularly priced at $91 . it is on sale for 35% off the regular price. use the aleks calculator to find the sale price.

Answers

The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:

Step 1: Calculate the amount of discount = Regular Price × Discount rate

Discount rate = 35/100

Simplifying the value we have:

Discount rate = 0.35

Amount of discount = 91 × 0.35

Amount of discount = $31.85

Step 2: Calculate the sale price

Sale price = Regular price − Amount of discount

Sale price = $91 − $31.85

Sale price = $59.15

Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

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r(t) = (8 sin t) i (6 cos t) j (12t) k is the position of a particle in space at time t. find the particle's velocity and acceleration vectors. r(t) = (8 sin t) i (6 cos t) j (12t) k is the position of a particle in space at time t. find the particle's velocity and acceleration vectors.

Answers

The given equation: r(t) = (8 sin t) i + (6 cos t) j + (12t) k gives the position of a particle in space at time t. The velocity of the particle at time t can be calculated using the derivative of the given equation: r'(t) = 8 cos t i - 6 sin t j + 12 k We know that acceleration is the derivative of velocity, which is the second derivative of the position equation.

The magnitude of the velocity at time t is given by:|r'(t)| = √(8²cos² t + 6²sin² t + 12²) = √(64 cos² t + 36 sin² t + 144)And the direction of the velocity is given by the unit vector in the direction of r'(t):r'(t)/|r'(t)| = (8 cos t i - 6 sin t j + 12 k) / √(64 cos² t + 36 sin² t + 144)Similarly, the magnitude of the acceleration at time t is given by:|r''(t)| = √(8²sin² t + 6²cos² t) = √(64 sin² t + 36 cos² t)And the direction of the acceleration is given by the unit vector in the direction of r''(t):r''(t)/|r''(t)| = (-8 sin t i - 6 cos t j) / √(64 sin² t + 36 cos² t)Therefore, the velocity vector is: r'(t) = (8 cos t i - 6 sin t j + 12 k) / √(64 cos² t + 36 sin² t + 144)The acceleration vector is: r''(t) = (-8 sin t i - 6 cos t j) / √(64 sin² t + 36 cos² t)

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What is 190% of 69.70?

Answers

Answer:

\(\huge\boxed{132.43}\)

Step-by-step explanation:

= 190 % of 69.70

[% means out of 100 and "of" means to "multiply]

= \(\displaystyle \frac{190}{100} * 69.70\)

= 1.9 * 69.70

= 132.43

\(\rule[225]{225}{2}\)

Hope this helped!

~AH1807

Answer:

132.43

Step-by-step explanation:

Calculate the percentage of a number.

For example: 190% of 69.70 = 132.43

Bus Company A claims that it is typically on time 95% of the time While Bus
Company B has a record of being on time 47 days out of the 50 days that it
operates. Which bus company seems to be doing b

Answers

Therefore, based on the information given, it seems that Bus Company A is doing slightly better in terms of on-time performance.

Which bus company seems to be doing better?

To determine which bus company seems to be doing better, we need to compare their on-time performance.

Bus Company A claims that it is typically on time 95% of the time. This means that out of 100 trips, it expects to be on time for 95 of them.

On the other hand, Bus Company B has a record of being on time 47 days out of the 50 days that it operates. This means that its on-time performance is:

47/50 = 0.94 or 94%

Comparing the two percentages,

we can see that Bus Company A claims to have a higher on-time performance (95%) than Bus Company B's actual on-time performance (94%).  Bus Company B's on-time performance is based on actual data from 50 days of operation.

Therefore, based on the information given, it seems that Bus Company A is doing slightly better in terms of on-time performance.

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Complete question:

Bus Company A claims that it is typically on time 95% of the time While Bus

Company B has a record of being on time 47 days out of the 50 days that it

operates. Which bus company seems to be doing better?

each side of a square is increasing at a rate of 3 cm/s 3 cm/s . at what rate is the area of the square increasing when the area of the square is 36 cm 2 36 cm 2 ?

Answers

Applying derivative to the formula of area of square and using the provided value of area to calculate the length with the rate of increase of sides, The answer is  \(36 cm^{2}/s\) .

What do you mean by derivative?

A function's rate of change with respect to a variable in mathematics. Calculus and differential equations problems must be solved using derivatives in order to be successfully solved. A function's sensitivity to change with respect to a change in its argument is measured by the derivative of a function of a real variable. Calculus's core tool is the derivative.

What is a square and it's formula for area?

A square has four equal sides, four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.

Required formula is:

\(A = l ^{2}\)

\(\frac{dl}{dt} =3cm/s\)

\(area = l^{2}\)

\(l = \sqrt{36}\)

\(l= 6 cm\)

apply derivative to the area formula we get,

\(\frac{dA}{dt} = 2*l*\frac{dl}{dt}\)

= 2 * 6 *3

=\(36 cm^{2}/s\)

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Find the lateral surface area of the figure.

Find the lateral surface area of the figure.

Answers

The evaluated lateral surface area is 261.8 square meters, under the condition that the base length is 20 m and height is 13 m.

The lateral surface area of a cylinder is given by the formula 2πrh
Here,
r = radius of the base
h = height of the cylinder.
For the given case, the base length is 20 m and height is 13 m. Then the base length is stated  instead of the radius, we have  to evaluate the radius first.
The radius of a cylinder can be found applying the formula r = l/2π
Here,
l = base length.
So, staging l = 20 m
, we get
r = 20/(2π)
≈ 3.18 m
Now that we have received the radius and height, we can evaluate the lateral surface area applying the formula mentioned above.
Staging
r = 3.18 m
h = 13 m,
we get:
Lateral surface area
= 2πrh
≈ 261.8 m²
Then, the lateral surface area of the given cylinder is approximately 261.8 square meters.
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