The diagonal of a square measures 16 inches. What is the length of the sides?

Answers

Answer 1

Answer:

The length of the sides is 8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Since the diagonal divide a square into 2 45-45-90 triangles:

The diagonal is the hypotenuse of the triangle

Divide 16 by [tex]\sqrt{2}[/tex] and you will get 8[tex]\sqrt{2}[/tex].

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Related Questions

Te dog’s nap started at 7:14am and ended
at 7:57am. How long was the dog’s nap?

Answers

Answer:

The answer is 43 minutes I'm pretty sure.

Answer:

43 mins

Step-by-step explanation: All you have to do is subtract 57 from 14 then you will get your amount of time. And that is all you have to do

1+2(x+3)=7
how do you solve ​

Answers

Answer:

1

Step-by-step explanation:

you have to minus the 7 by 6 which you get from adding all the other numbers up together


Express in lowest terms.

Answers

Answer:

3x^3

Step-by-step explanation:

57/19=3

x^5 - x^2 = x^3

Answer:

3x^3

Step-by-step explanation:

You have to divide 15 over nineteen, which is 3x with the exponent of 5 over x with the exponent of 2. Then you have to apply the exponent rule and subtract the exponents:5-2, which would give you 3x with the exponent of 3

Which number best represents the situation. "A plane descends 1, 500ft?
1,500
15
-1,500
-15

Answers

Answer:

-1500

Step-by-step explanation:

"descends," means to go down (ascend means to go up), so the number would be negative. The number given is 1500, so we use that, and get -1500.

Answer:

-1500

Step-by-step explanation: Descending means "going down" negative numbers are below normal. They had descended  from the normal numbers.

PLEASE HURRY!! The ratio of the volumes of two geometrically similar pyramids is 1 : 8. If the height of the larger pyramid is 24 inches, what is the height of the smaller pyramid?

a = 3 inches
b = 6 inches
c = 12 inches
d = 17 inches

Answers

Answer:

Answer C.12

Step-by-step explanation:

v/V=(h/H)^3

1/8=(h/24)^3

1/8=h^3/24^3

1/8=h^3/13824

8h^3=13824

H=1728√3

h= \sqrt[3]{1728}

h=12 cm

the height of the smaller pyramid is 12 inches.

What is a triangular pyramid?

A triangular pyramid is a 3D geometric shape in which all the three lateral faces are triangles with a common vertex. If all the three triangular faces are equilateral, then such a pyramid is called a tetrahedron.

For the given situation,

The ratio of the volumes of two geometrically similar pyramids = 1:8

The height of the larger pyramid = 24 inches.

Let the volume of smaller pyramid be v1 and larger pyramid be v2.

Let the height of smaller pyramid be h1 and larger pyramid be h2.

The relation between the volume of pyramid and height is given as

[tex]v=\frac{1}{3} (base area)(height)[/tex]

Let us consider the triangle to be equilateral triangle. So all the sides are equal.

We know that, Base area = [tex]a^{2}[/tex] and [tex]a=h[/tex]

The volume becomes [tex]v=\frac{1}{3} h^{3}[/tex]

The ratio becomes,

⇒ [tex]\frac{v1}{v2} =\frac{h1^{3} }{h2^{3}}[/tex]

⇒ [tex]\frac{1}{8} =\frac{h1^{3} }{24^{3}}[/tex]

⇒ [tex]h1^{3}=\frac{24^{3} }{8}[/tex]

⇒ [tex]h1^{3}=\frac{13824 }{8}[/tex]

⇒ [tex]h1^{3}=1728[/tex]

⇒ [tex]h1=\sqrt[3]{1728}[/tex]

⇒ [tex]h1=12[/tex]

Hence we can conclude that the height of the smaller pyramid is           12 inches.

Learn more about triangular pyramid here

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Please can anyone help me answer this question I'm really struggling with it

Answers

Answer:

[tex]v = {210cm}^{3} [/tex]

Step-by-step explanation:

Formula for finding the volume of a triangular prism is given as:

[tex]v = \frac{1}{2} \times b \times h \times l[/tex]

where,

b = breadth = 7cm

h = height = 6cm

l = length = 10cm

Thus,

[tex]v = \frac{1}{2} \times 7cm \times 6cm \times 10cm[/tex]

[tex]v = \frac{1}{2} \times 420 {cm}^{3} [/tex]

[tex]v = \frac{ {420cm}^{3} }{2} [/tex]

[tex]v = {210cm}^{3} [/tex]

At Sports Shoe Warehouse, the cost of 11 pairs of soccer shoes is $1100 plus $66 for each additional pair. From Winning Team Shoes, the cost of 11 pairs of soccer shoes is $825 plus an additional 6% for each additional pair. For how many total pairs of soccer shoes does each vendor cost about the same? Write the equations

Answers

Final answer:

Both vendors cost about the same for 20 pairs of soccer shoes.

Explanation:

For Sports Shoe Warehouse, the cost for 11 pairs is $1100, and each additional pair costs $66. So, the total cost for x additional pairs would be $1100 + $66x.

For Winning Team Shoes, the cost for 11 pairs is $825, and each additional pair costs 6% more than the previous pair. So, the total cost for x additional pairs would be $825 + 0.06(825)x.

To find when both vendors cost the same, we set their expressions equal: $1100 + $66x = $825 + 0.06(825)x. Solving for x gives x = 20. Therefore, both vendors cost about the same for 20 pairs of soccer shoes.

What is the sum of 2 2/4 and 8 3/4

Answers

Answer:

11 1/4 or 11.25.

Step-by-step explanation:

how do i solve this using imaginary numbers? PLEASE HELP

Answers

Answer:

14 -2i

Step-by-step explanation:

9 + sqrt(-4) - ( -5 + sqrt(-16))

We know the sqrt of a negative number is i * sqrt(number)

9 + isqrt(4) - ( -5 + isqrt(16))

9 + 2i - (-5 + 4i)

Distribute the negative sign

9+2i +5 -4i

Combine like terms

14 -2i

What is the area of this circle?

Answers

Answer:

100 pi (314.16)

Step-by-step explanation:

Because the diameter is 20 in, that makes the radius = 20/2 inches = 10 inches.

10^2 * pi = area

100 pi =  area

314.16 is approx. area.

Answer:

It should be 1,256.6 in square inches

Step-by-step explanation:

ANSWER THESE ASAP Carla got a ride from her mom to school on 13 of 20 school days in November. Which is NOT equivalent to the fraction of days she got a ride to school?
Question 1 options:


13/20



35%


0.65


65%
Harold left a 23% tip when he went out to eat. What answer choice is equivalent?
Question 2 options:


2.3


23


0.23


0.023
Blair spent 45% of her birthday money on new clothes. What fraction of her money is that equivalent to?
Question 3 options:


9/20



22/50



4/11



4/5
Byron drank 1.36 liters of water yesterday. How many milliliters is that equivalent to?
Question 4 options:


13,600 ml


1,360 ml


136 ml


13.6 ml
The perimeter of the schoolhouse is 5,982 feet. How many yards is that equivalent to?
Question 5 options:


598.2 yds


2,991 yds


1,994 yds


498.5 yds

Answers

question 1: 35%

question 2: 0.23

question 3: 9/20

question 4: 1,360 mL

question 5: 1,994 yds

Answer:

1. 35%

2. 2.3

3. 9/20

4. 1360 ml

5. 1994 Yards

How many solutions can be found for the system of linear equations represented on the
graph?
A) no solution C) two solutions
B) one solution D) infinitely many solutions

Answers

Answer:

A) no solution

Step-by-step explanation:

Parallel lines never intersect

Answer:

A

Step by step explanation:

help please and explain why

Answers

Answer:

9 cm tall

Step-by-step explanation:

The formula to find the volume of a cylinder is

V = pi r^2 (h)

pi r^2 is the base

Plug in the volume and the base

198 = 22 (h)

divide by 22

9 = h

Find the length of a pendulum that makes one swing in 3 s. The equation for the time of one swing of a pendulum is T= 2pi sqrt(L/32) , where T is the time in seconds and L is the length in feet. Round to the nearest hundredth.

Answers

Answer:

7.30

Step-by-step explanation:

T = 2π √(L/32)

3 = 2π √(L/32)

3/(2π) = √(L/32)

(3/(2π))² = L/32

L = 32 (3/(2π))²

L ≈ 7.30

The length of the pendulum in feet nearest to hundredth is 7.29 feet.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given that the equation for the time of one swing of a pendulum is

T = 2π √(L/32).

And pendulum makes one swing in 3 seconds.

Now T is 3 second.

So , substituting the value of T in given expression;

3 = 2π √(L / 32)

3 / (2π) = √(L / 32)

Taking square on both sides,

{ (3/(2π) }² = L / 32

L = 32 × { 3 / (2π) }²

L = 7.295

L ≈ 7.29

Therefore, the length of the pendulum in feet nearest to hundredth is 7.29 feet.

To learn more about the equation;

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The table shows three unique, discrete functions. Which statements can be used to accurately compare the functions? Select two options. g(x) has the lowest minimum. f(x) has the greatest maximum. All three functions have a y-intercept. All three functions have an x-intercept. The domain of all three functions is the same.

Answers

The answer to your question would be:

B-  f(x) has the greatest maximum.  

C-  All three functions have a y-intercept.

(I know this question is old but I hope it helps someone else.)

:)

New help can anybody help

Answers

Answer:

we need the question

Step-by-step explanation:

At the beginning of 2012 Jacob's saving account had $675.20. He deposited $40 each month and earned $66.50 interest for the year What was the percent of increase for Jacob's saving account at the end of the year to he nearest whole percent
A.) 37%
B.) 45%
C.) 55%
D.) 81%

Answers

not sure but i think it’s B

Simplest form of 34/51

Answers

Answer:

[tex]\huge\boxed{\dfrac{34}{51}=\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]\dfrac{34}{51}\\\\34=17\cdot2\\51=17\cdot3\\\\LCM(34,\ 51)=17\qquad/\text{Largest Common Multiple}/\\\\\dfrac{34}{51}=\dfrac{34:17}{51:17}=\dfrac{2}{3}[/tex]

Answer:

Step-by-step explanation:

2

3

A scientist asked five of her dentist friends if they thought the new Brand X sugar dash free gum that she developed was effective. Four responded "yes." The scientist used the results to write a TV advertisement claiming that "4 out of 5 dentists prefer Brand X sugar dash free gum." Is this a valid inference? Explain.
Use pencil and paper. Explain all of the factors that are necessary for an inference to be valid.
Is the inference valid? Explain.

Answers

Answer:

80% agree because 4/5= 80/100

Step-by-step explanation:

nth term of 6 12 20 30 42 56 72​

Answers

Answer:

72, 90, 110, 132, 156

Step-by-step explanation:

The pattern goes, (56+16), (72+18), (90+20), (110+22), (132+24), (156+26), etc.

With the beginning pattern of +6, add +2 to each +6 for the following numbers.

Answer:

[tex]a_n=(n+1)(n+2)[/tex]

Step-by-step explanation:

Notice that the terms given in the sequence are the products of two consecutive numbers as follows:

[tex]a_1=6=2*3\\a_2=12=3*4\\a_3=20=4*5\\a_4=30=5*6\\a_5=42=6*7\\a_6=56=7*8\\a_7=72=8*9[/tex]

Therefore, we can write the nth term of the sequence as the product of a number and its consecutive, starting with the factor "2" for the first term instead of "1", thus making:

[tex]a_n=(n+1)(n+2)[/tex]

Dante has at most $12 to spend on entertainment each week. So far this week, he spent $7.50. Write and solve an inequality to determine how much money Dante can spend on entertainment the rest of the week.

Answers

Answer: 4.50

Step-by-step explanation:

Pay attention in math class

Answer:x+7.50 is less than or equal to 12

Step-by-step explanation: x is less than or equal to 4.5

The Fibonacci sequence is the sequence 1, 1, 2, 3, 5, ... where the first and second terms are 1 and each term after that is the sum of the previous two terms. What is the remainder when the 100th term of the sequence is divided by 8?

Answers

Final answer:

The remainder when the 100th term of the Fibonacci sequence is divided by 8 is 3.

Explanation:

The Fibonacci sequence is a sequence where each term is the sum of the previous two terms. The sequence starts with 1, 1, and then continues with 2, 3, 5, and so on. To find the remainder when the 100th term of the sequence is divided by 8, we can calculate the terms of the sequence modulo 8 until we reach the 100th term.

First term: 1 mod 8 = 1Second term: 1 mod 8 = 1Third term: (1 + 1) mod 8 = 2Fourth term: (1 + 2) mod 8 = 3Fifth term: (2 + 3) mod 8 = 5Sixth term: (3 + 5) mod 8 = 0Seventh term: (5 + 0) mod 8 = 5Eighth term: (0 + 5) mod 8 = 5Ninth term: (5 + 5) mod 8 = 2Tenth term: (5 + 2) mod 8 = 7

We can see from the pattern that the terms modulo 8 repeat every 6 terms. Therefore, to find the remainder when the 100th term is divided by 8, we can calculate the remainder when 100 is divided by 6. 100 mod 6 = 4. So, the remainder when the 100th term of the Fibonacci sequence is divided by 8 is the same as the remainder when the 4th term is divided by 8, which is 3.

What are interest rates? Please explain.

Answers

Answer:

An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited or borrowed. The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, the compounding frequency, and the length of time over which it is lent, deposited or borrowed.

3 times 1,000 +6 times 100 + 3 times 10 +7 times 1/10 + 2 times 100 +8 times 1/1000?

Answers

Answer:

3,006.0578‬ is your answer.

Step-by-step explanation:

3   ×   1000   +   6   ×   100   +   3   ×   10   +   7   ×   0.1   +   2   ×   100   +   8   ×   0.0001 =‬ 3,006.0578‬

Answer:3630.728

Step-by-step explanation:

Find log 47.2 to four decimal places.

Answers

Step-by-step explanation:

log 47.2 in four decimal places

= 1.6739

Final answer:

To find log 47.2 to four decimal places, use the logarithmic function. The result is approximately 1.6739

Explanation:

To find log 47.2 to four decimal places, we need to use the logarithmic function. The logarithm function is the inverse of exponentiation. In this case, we are looking for the logarithm of 47.2.

Using a scientific calculator or logarithmic tables, we can find that log 47.2 ≈ 1.6739 to four decimal places.

The four decimal places are determined by the precision of the logarithm function and the number of significant figures in the input value (47.2 has four significant figures).

please help i will mark brainliest part b (:

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:

OK UMMMM CAN YOU PUT THEE QUESTION

Step-by-step explanation:

Use a half-angle identity to find the exact value

Answers

Given:

[tex]\cos 15^{\circ}[/tex]

To find:

The exact value of cos 15°.

Solution:

[tex]$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}[/tex]

Using half-angle identity:

[tex]$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}[/tex]

[tex]$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}[/tex]

Using the trigonometric identity: [tex]\cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}[/tex]

            [tex]$=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}[/tex]

Let us first solve the fraction in the numerator.

            [tex]$=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}[/tex]

Using fraction rule: [tex]\frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}[/tex]

            [tex]$=\sqrt{\frac {2+\sqrt{3}}{4}}[/tex]

Apply radical rule: [tex]\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}[/tex]

           [tex]$=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}[/tex]

Using [tex]\sqrt{4} =2[/tex]:

           [tex]$=\frac{\sqrt{2+\sqrt{3}}}{2}[/tex]

[tex]$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}[/tex]

4. When -2 is substituted for x, in the equation y=2x+1, what is y?
Show work.

Answers

plug in -2 for x. y = (2)(-2) + 1. y = -4 + 1. y = -3.

1. Evaluate 4x
if x = 3.

Answers

Answer:

[tex]12[/tex]

Step-by-step explanation:

Step 1:  Set x to 3 and solve

[tex]4x[/tex]

[tex]4(3)[/tex]

[tex]4 * 3[/tex]

[tex]12[/tex]

Answer:  [tex]12[/tex]

Jacob is playing a game where he earns 3 points for a correct answer and loses 2 points for an incorrect answer. He currently has –6 points. What situation would end with him breaking even? answering one question correctly and the last question incorrectly answering one question incorrectly and the last question correctly answering the last two questions correctly answering the last two questions incorrectly

Answers

I think c

Step-by-step explanation:

Answer: C. answering the last two questions correctly

Step-by-step explanation: If each question were worth 3 points if he got it correctly then he would have to get 2 questions right since he has -6

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The following stem-and-leaf plot represents the test scores for 22 students in a class on their most recent test. Use the data provided to find the quartiles.Test Scores by StudentStemLeaves61666713481155788991333777Key: 6||1=61Step 1 of 3 : Find the second quartile. Snsnnesnsnsnsmsmzmzmzmzzksskss The top of the chimney needed to be replaced. The new top for the chimney will cost $800 plus $40 per hour for labor. If it took the chimney guy 75 minutes to complete the work, how much will Mrs. Bredice pay? You are in charge of the IT division for a company that has 1,048,576 customers. Your boss asks you to decide between buying a database system from Vendor A or Vendor B. Both systems are the same price but Vendor Bs computer (computers are included in each system) has hardware that is 1000 times faster than that provided by vendor A. However, Vendor As system is based on an algorithm that returns a response to a query in time proportional to 10nlog2n machine operations where n is the number of customers in the database while Vendor Bs system is based on an algorithm that returns a response to a query in time proportional to 10n2 machine operations. Vendor As computer has a speed of 1 nanosecond (=10-9 seconds) per operation. How long (in seconds, rounded correctly to three decimal places to the right of the decimal) would Vendor As system take to return a response to a query based on your current number of customers? seconds How long (in seconds, rounded correctly to three decimal places to the right of the decimal) would Vendor Bs system take to return a response to a query based on your current number of customers? seconds What was Truman's directive (directions) about where touse the bomb? PLease help me answer this**BRAINLIEST TO BEST ANSWER**Thx! Andrew draws triangle ABC. He then constructs a perpendicular bisector from vertex A that intersects side BC at point D. What can Andrew conclude, based on his drawing? AB = BC BD = DC AD = BC AC = BC rectangle 2 is a scale drawing of rectangle b and has 25% of its area if rectangle A has side lengths of 4cm and 5cm what are the side lengths of rectangle b ? What could break the circuit between your home and an electric power plant? Help please thank you What is the median number of pairs of shoes owned by the children ? What is the area of a triangle with a base of 7 cm and a height of 4cm Solve each of the following for x:a. 10x-18=22b. 1/2x+50=-5c. 5(x+4)=100 Do these hot-spot volcanoes tend to erupt more explosively than othervolcanoes? What three changes in motion show that an object is accelerating? Micah recorded the amount of time his mom and dad spend reading bedtime stories. He plotted the data in the box plot below.A box plot titled Minutes mom spends reading. The number line goes from 10 to 25. The whiskers range from 13 to 25, and the box ranges from 15 to 19. A line divides the box at 16.Minutes Mom Spends ReadingA box plot titled Minutes dad spends reading. The number line goes from 10 to 25. The whiskers range from 11 to 19, and the box ranges from 12 to 15. A line divides the box at 13.Minutes Dad Spends ReadingWhich is an accurate comparison of the two data sets?The lengths of time that his mom reads are typically longer and have less variability than the lengths of time that his dad reads.The lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads.The lengths of time that his mom reads are typically shorter and have less variability than the lengths of time that his dad reads.The lengths of time that his mom reads are typically shorter and have more variability than the lengths of time that his dad reads. The stage of drug and alcohol treatment where the client is forcefully confronted about the addiction and the need for treatment is which of the following? A. Stabilization B. Rehabilitation C. Maintenance D. Denial Why would increasing the size of the aristocracy lower their power People in many fields, including architects, economists, feminists, and even theologians, embraced the term postmodernism to express a climate of cultural change. Maddeningly vague and overused, this term became a byword in the last quarter of the twentieth century. Late modernism and ______________ are preferred as alternative terms for late twentieth-century design. Please Help!!!Using a video camera positioned on a table, Kat records her hanging flower basket to find out what is eating the blooms. The camera is positioned so that the line of sight to the basket forms a 25 angle of elevation. The camera sits 42 inches above the ground and the base of the table is 72 inches from the base of the rod the flower basket hangs on. To the nearest tenth of an inch, how high above the ground is the flower basket?Edit: I got the answer it's 75.5