Set up an equation to find the length of the diagonal of the rectangle.

Set Up An Equation To Find The Length Of The Diagonal Of The Rectangle.

Answers

Answer 1

Answer:

Set length as l

Use the Pythagorean Theorem to find the diagonal:

[tex]5^{2} +l^{2} =(\sqrt{125})^{2}\\ 5^{2} +l^{2} =125[/tex]

Set Up An Equation To Find The Length Of The Diagonal Of The Rectangle.

Related Questions

Michael has a project due in exactly 83 hours. It is currently 8:30 on a Monday morning. What time is his project due

Answers

Answer: it wll be thursday at 7:30PM

Christina buys 3 DVDs . 2 of the DVDs cost X+Y . Write an expression that shows the amount the 3 DVDs cost

Answers

Answer:

3/2(x+y)

Step-by-step explanation:

The cost of 2 DVD is x+y

Divide by 2 to get the cost of one DVD

(x+y) /2

Multiply by 3 to get the cost of 3

3/2(x+y)

Answer:

= 3(x + y)/2

Step-by-step explanation:

Cost of two DVD's is shown as :-

= x + y

If we divide by 2 we'll get the cost of each DVD

= (x + y)/2

Then, multiplying by 3 gives us the total amount.

= 3(x + y)/2

what is the external angle of a polygon where the corresponding interior angle equals 105 degrees

Answers

Answer:

75 degrees maybe.......

Answer:

75 degrees

Step-by-step explanation:

the external angle is between the outside of one of the sides of the angle and the continued line of the second side of the angle.

and because it is measured against a line, where we have a total of 180 degrees for angles, we have

exterior angle = 180 - interval angle = 180-105 = 75

One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhombus?

Answers

Answer:

8 inches

Step-by-step explanation:

A rhombus is a four sides quadrilateral with the four sides equal in length

A rhombus has 4 equal sides and the diagonal bisect at right angles

Adjacent sides = 9/2 = 4.5

we are to determine the value of the hypotenuse given the adjacent side and angle (108/2) = 54

Cos 54 = adjacent / hypotenuse

0.58778 = 4.5 / hypotenuse

hypotenuse = 4.5 / 0.58778

=7.6559

= 8 inches

Which point should Julio use to determine the amount of pizza sauce he needs to bring?
A
B
C
D
On a coordinate plane, a graph titled Pizza Recipe has Pizzas on the x-axis and Cups of Pizza Sauce on the y-axis. Point A is (3, 2), point B is (4, 2.6), point C is (4.5, 3), point D is (6, 4).

Answers

Answer:

The question is incomplete, but after a small search I've found that the complete question is something like:

To celebrate something, a teacher will make pizzas for the class.

There are 30 students in his class and each pizza serves 8

Julio will bring the pizza sauce. Which point should Julio use to determine the amount of pizza sauce he needs to bring?

In a graph, the vertical axis is represented with the variable y, which is defined as the dependent variable, while the horizontal axis represents the variable x, which is the independent variable.

The notation for a point in that graph is (x, y)

Here, we know that the x-axis represents the number of pizzas, and the y-axis represents the number of cups of pizza sauce needed for the x pizzas.

So, for example, the point (3, 2) means that:

for x = 3 pizzas, you need y = 2 cups of pizza sauce.

So, now let's find the number of pizzas that will feed the whole class.

There are 30 students, Each pizza serves for 8.

Then the number of pizzas needed is:

30/8 = 3.75 pizzas.

But we can round it to 4 pizzas because making a 0.75 of a pizza does not make a lot of sense.

Then we could use point B, which is (4, 2.6)

This means that, for 4 pizzas, they need 2.6 cups of pizza sauce.

So Julio should bring 2.6 cups of pizza sauce.

Which point should Julio use to determine the amount of pizza sauce he needs to bring?

(B 4,26)

Find the value of x in Circle O.

Answers

Answer:

x=8

Step-by-step explanation:

x^2+15^2=17^2, x=sqrt(64)=8

I need help to find the missing side of this right triangle

Answers

Answer:

[tex]\sqrt{136}[/tex]

Step-by-step explanation:

Formula for Pythagorean theorem: [tex]a^{2} +b^{2} = c^{2}[/tex]

Plug in:

[tex]6^{2}+10^2=x^2[/tex]

Solve:

36 + 100 = [tex]x^{2}[/tex]

136 = [tex]x^{2}[/tex]

[tex]\sqrt{136}[/tex] = x

The answer is [tex]\sqrt{136}[/tex].

Hope this helped.

Evaluate the powers of 3 to find each value.?

Answers

Answer:

The value of 3^-2 is 1/9

Step-by-step explanation:

This is because negative exponent such as [tex]2^{-1}[/tex] transfer to 1/2. Therefore, you might notice a pattern of negative exponent -> fraction. 3^-2 -> 1/(3^2)-> 1/9

PLEASE MARK BRAINIEST IF THIS HELPED!!!

Answer:

1 /91327

Step-by-step explanation:

Concept:

Here, we need to know the idea of exponents.

The exponent of a number says how many times to use the number in a multiplication.

When the exponent is positive, just multiply the base number by the number of times the exponent states.For example: 5² = 5 × 5 = 25When the exponent is negative, turn to the reciprocal of the base number, then multiply the base number by the number of times the exponent states as the denominator.For example: 6⁻² = 1 / 6² = 1 / (6 × 6) = 1/36

Any number to the 0th power, it is equal to 1.

Solve:

Question 1. What is the value of 3⁻²?

The exponent ⁻² on 3² is negative3⁻² = 1 / 3² = 1 / (3 × 3) = 1/9

Question 2. What is the value of 3⁰?

The exponent of 3⁰ is 03⁰ = 1

Question 3. What is the value of 3¹?

The exponent of 3¹ is positive3¹ = 3

Question 4. What is the value of 3³?

The exponent of 3³ is positive3³ = 3 × 3 × 3 = 27

Hope this helps!! :)

Please let me know if you have any questions

What is the slope of the function? Then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Answers

Complete question is;

Alejandra correctly wrote the equation y – 3 = (1/5) (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Answer:

y – 3 = 2(x – 10)

Step-by-step explanation:

Since the original line is;

y – 3 = (1/5) (x – 10)

This means the slope is 1/5 and the x and y coordinates are (10, 3) respectively.

Now, if she changes the slope to 2 and it still passed through the same point, then it means it's x and y points are still (10, 3). Thus, the equation will now be;

y – 3 = 2(x – 10)

1. When decimal currency came to Australia in 1966 (that's exactly
50 years ago!), there were 6 coins -- 1 cent, 2 cent, 5 cent,
10 cent, 20 cent and 50 cent coins. What is the SMALLEST
number of these coins you would need to make 89 cents?

Answers

To find the smallest amount of coins needed, we start taking the coins with the biggest value until we get to the desired value.

Doing this, we get that the smallest number of coins is: 6

89 cents:

89 is more than 50 cents, but less than 50*2 = 100, so 1 50 cent coin is needed, which leaves 89 - 50 = 39 cents remaining.39 is more than 20 cents, but less than 20*2 = 40, so 1 20 cent coin is needed, which leaves 39 - 20 = 19 cents remaining.19 is more than 10 cents, but less than 10*2 = 20, so 1 10 cent coin is needed, which leaves 19 - 10 = 9 cents remaining.9 is more than 5 cents, but less than 5*2 = 10, so 1 5 cent coin is needed, which leaves 9 - 5 = 4 cents remaining.The remaining 4 cents are achieved with 2 2 cent coins.

Thus, the smallest amount of coins needed is 1 + 1 + 1 + 1 + 2 = 6.

A similar question can be found at https://brainly.com/question/21776594

if sinA=4/5 and cosB=12/13 find the value of:
Sin2A​

Answers

Answer:

24/25

I hope this will help you.

Find the equation of a line perpendicular to 8x - 2y = 4 and passes through the point (4, 3).

Answers

y = -2x-3

Lines that are perpendicular have slopes that are negative reciprocals of each other. Meaning, if a line has slope  , then a line perpendicular to this has slope . That means the slope of our perpendicular line is

The equation of the line that is perpendicular to 8x - 2y = 4 and passes through the point (4, 3) is y = (-1/4)x + 4.

To find the equation of a line that is perpendicular to the line 8x - 2y = 4 and passes through the point (4, 3), we can use the fact that the slopes of perpendicular lines are negative reciprocals of each other.

First, let's rewrite the given equation in slope-intercept form (y = mx + b), where m represents the slope:

8x - 2y = 4

-2y = -8x + 4

Divide both sides by -2:

y = 4x - 2

The slope of the given line is 4.

The slope of a line perpendicular to this line would be the negative reciprocal of 4, which is -1/4.

Now, we have the slope (-1/4) and a point (4, 3). We can use the point-slope form of a linear equation:

y - y₁ = m(x - x₁)

Substituting the values, we have:

y - 3 = (-1/4)(x - 4)

Expanding and simplifying, we get:

y - 3 = (-1/4)x + 1

Adding 3 to both sides, we have:

y = (-1/4)x + 4

To learn more about equation click on,

https://brainly.com/question/20712656

#SPJ2

Mike, the barista at Moose Jaw Coffee, has to mix together two kinds of coffee beans - Mocha Madness, which costs $12 a pound, and Sumatra Sweetness, which costs $20 a pound - to produce forty pounds of a coffee that costs $14 a pound. The beans in the mixture sell for the same price as they would separately. How many pounds of Mocha Madness coffee will Mike put into the mixture

Answers

Answer:

mocha madness = 30 pounds

Step-by-step explanation:

Let

x =  Mocha Madness

y = Sumatra Sweetness

two equations can be derived from the question

x + y = 40 equation 1

12x + 20y = 14 x 40 equation 2

Multiply equation 1 by 12

12x + 12y = 480 eqn 3

subtract eqn 2 from 3

8y = 80

y = 10

substitute for y in equation 1

x + 10 = 40

x = 40 - 10

x = 30

8y = 180

y = 10 pounds

x = 30 pounds

If mn, solve for x.
(3x + 9) (x + 21)

Answers

2

3x. + 63x + 9x + 189

Step-by-step explanation:

Use distributive law, in other words multiply the first bracket terms by the second bracket terms

what is the point-slope equation of a line with slope-4 that contains the point (-2 7)\

Answers

Answer:

y - 7 = -4 (x + 2)

Step-by-step explanation:

y - 7 = -4 (x + 2)

PLZ HELP! Also, give an explanation. :)

Answers

Answer: First option (your selected answer)

Step-by-step explanation:

(rotating an object 360° will bring it to its original position)

(rotating an object 180° will turn it upside-down)

(rotating an object 90° will make it sideways)

(to calculate the scale factor, pick a point on both triangles that are of the same corner)

ex: A: (-12,12) and A': (4,-4)

(ask yourself what you need to multiply the x and y coordinates of ΔABC by to get the resulting x and y coordinates of the ΔA'B'C')

[tex]-12*-\frac{1}{3}=4\\12*-\frac{1}{3}=-4[/tex]

(you multiply -1/3 to get the x and y value of the second triangle)

(though the provided options do not display the negative scale factor, the scale factor should be negative)

ΔABC - ΔA'B'C', because ΔA'B'C' is obtained by dilating ΔABC by a scale factor of 1/3 and then rotating it about the origin by 180°

The ratio of carbon-14 to carbon-12 in a piece of wood discovered in a cave is R = 1/917. Estimate the age of the piece of wood

Answers

Answer:

The answer is "[tex]\bold{6.6 \times 10^{12}\ years}[/tex]"

Step-by-step explanation:

Let the given value is:

[tex]R=\frac{1}{9^{17}}\\\\\to \frac{N_{c_{14}}}{N_{c_{12}}}=\frac{1}{9^{17}}\\\\\to t=\frac{2.303 \times 9^{17}}{5717}=6.6\times 10^{12}\ years[/tex]

what is the answer?
A. 41°
B. 98°
C. 123°
D. 139°

Answers

Answer:

139

Step-by-step explanation:

Supplementary angles add to 180 degrees

BOC + 41 = 180

BOC = 180-41

BOC = 139

Which descriptions can describe more than one triangle? Select two options.

• side lengths of 6 ft, 8ft, and 10 ft
• angle measurements of 350, 350, and 110°
• angle measurements of 30°, 40°, and 50°
• angle measurements of 40°, 60°, and 80°
• side lengths of 4 cm, 6 cm, and 9 cm

Answers

Answer:

angle measurements of 35, 35, and 110°  

angle measurements of 40°, 60°, and 80°

Have a nice day! :)

tìm kiếm x y z
x-1/y =1
y-1/z =1
z-1/x =1

Answers

y - 1/z = 1   ==>   y = 1 + 1/z

z - 1/x = 1   ==>   z = 1 + 1/x

==>   y = 1 + 1/(1 + 1/x) = 1 + x/(x + 1) = (2x + 1)/(x + 1)

x - 1/y = x - (x + 1)/(2x + 1) = (2x ² - 1)/(2x + 1) = 1

==>   2x ² - 1 = 2x + 1

==>   2x ² - 2x - 2 = 0

==>   x ² - x - 1 = 0

==>   x = (1 ± √5)/2

If you start solving for z, then for x, then for y, you would get the same equation as above (with y in place of x), and the same thing happens if you solve for x, then y, then z. So it turns out that x = y = z.

15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer. PLEASE HELP ITS RLLY IMPORTANT

Answers

Answer:

No

Step-by-step explanation:

The line of best fit should follow the correlation of the data and it should go through as many of the plotted data as possible.

The Data is showing a negative correlation but she has drawn on a positive correlation and it also only goes through 1 point.

Hope this helps :)

in a survey of 100 people, 60 like farming and 65 like civil service. find the number of people who likes farming as well as civil service. also find out how many people like only civil war

Answers

Let

A=set of people like farmingB=set of people like civil service A[tex]\cup[/tex] B =Total peopleA[tex]\cap[/tex]B=People like both

We know

[tex]\boxed{\sf n(A\cup B)=n(A)+n(B)-n(A\cap B)}[/tex]

[tex]\\ \sf\longmapsto n(A\cap B)=n(A)+n(B)-n(A\cup B)[/tex]

[tex]\\ \sf\longmapsto n(A\cap B)=60+65-100[/tex]

[tex]\\ \sf\longmapsto n(A\cap B)=125-100[/tex]

[tex]\\ \sf\longmapsto n(A\cap B)=25[/tex]

Choose the inequality that represents the following graph.

Answers

Answer:

D)  x ≥ -2

Step-by-step explanation:

please help me with this also if your good at geometry please dm me I need serious help!!​

Answers

Answer:

0.92

Step-by-step explanation:

cosine = adjacent/ hypotenuse

cosine of t = 12/ 13

cos t= 0.92308

In the diagram provided, line l is parallel to line m. Select which of the following statements could be used to prove that the interior angles of a triangle have a sum of 180°. You may choose more than one correct answer.

m 4 + m 5 + m 6 = 180.
1 and 4 are alternate interior angles.
m 5 = m 3 + m 2
. m 5 + m 1 = 180.

Answers

Answer:

all except the first

Step-by-step explanation:

do u really want an explanation

solve
(a) 32x + 1 = 92x - 1​

Answers

Answer:

30 is your answer

Step-by-step explanation:

32x + 1 = 92x - 1

+1+1=92x-32x

2=60x

x=60÷2

x=30

Rita offers to pay for 8 of her friends to play laser tag, but 3
of them don't want to play.
If laser tag costs $5 per person, how much will Rita spend on her friends?
Choose the correct expression and solution to this problem,

Answers

Last Option

Rita will spend $25

5(8-3)

Answered by Gauthmath must click thanks and mark brainliest

Answer:  The correct answer is D.

Step-by-step explanation:

Since 3 of Rita's 8 friends don't want to play laser tag, Rita only has to pay for 5 of her friends to go.

So, the expression would be:

5 (8 - 3)

= 5 (5)

= $25

Hope this helps! :)

please HELP ME!!! (16 POINTS) due today :)))

Answers

Answer:

Step-by-step explanation:

I'm not sure what the question is asking, but if you mean the angles in the blue lines

First one, we know that the full length is 90, and it has gacen us 80, so the angle would be 10

Second one, we see that the angle is still 90, and since the given degree is 30, the unkown angle would be 60

Third one, the given angle is 75 so 90-75=15.

The answers would be 10, 60, and 15.

Answer:

4. 170*

5. 330*

6. 285*

Step-by-step explanation:

4. Explanation: 90* is added by the other angle in the right + 80* for the same angle

90* + 80* = 170*
————————————————————

5. Explanation: we are trying to find out the total among every angle measure except for 30.

Total angle measure = 360*

360 - 30 = 330*
—————————————————————

6. Explanation: 360 - 75 = 285*


1 pump fill resovoir in 60 hrs other 80 hrs other 90 hrs when they are together how long to fill resovoir? Rsm

Answers

Answer:

24.83 hours

Step-by-step explanation:

Given that :

Let time taken by pumps be :

Pump A = 60 hours

Pump B = 80 hours

Pump C = 90 hours

Recall :

Rate = 1 / time taken

The rates of the pumps are :

Pump A rate = 1 / 60

Pump B rate = 1/80

Pump C rate = 1/90

Combined rate : 1/60 + 1/80 + 1/90

Combined rate = (12 + 9 + 8) / 720 = 29/720

Combined rate = 29/720

The time taken together will be :

1 / combined rate = 1/(29/720) = 720 / 29 = 24.827 hours

The least-squares regression method is: Multiple Choice A graphical method to identify cost behavior. An algebraic method to identify cost behavior. A statistical method to identify cost behavior. The only identify cost estimation method allowed by GAAP. A cost estimation method that only uses the two extreme values.

Answers

Answer:

A statistical method to identify cost behavior.

Step-by-step explanation:

Costing is the measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.

In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

Hence, the least-squares regression method is a statistical method that is typically used for identifying cost behavior.

Generally, the sum of the residuals of a least squares regression line is always equal to zero.

Other Questions
Please Help!!!If you cant answer it dont bother putting an answer down.Question 2(Multiple Choice Worth 1 points)(07.01 HC)Listen, read the question, and choose the option with the correct answer, based on the audio.Based on the audio, where is Gertrudis most likely going today?El mercadoLa escuelaLa plaza mayorEl restaurante what is the balanced equation of 2HCl + Mg - MgCla + Ha even through people are aware of law but still they do not follow it true or false FIRST ANSWER GETS BRAINLIEST!!(sorry for the colors on the picture) On December 31, 2020, the Bennett Company had 110,000 shares of common stock issued and outstanding. On July 1, 2021, the company sold 22,000 additional shares for cash. Bennett's net income for the year ended December 31, 2021, was $630,000. During 2021, Bennett declared and paid $72,000 in cash dividends on its nonconvertible preferred stock. What is the 2021 basic earnings per share For the function f(x)=-4(0.3)^x+1, identify the y-intercept and asymptote.Y-intercept:Asymptote: Calvin and Jamel each havr cats as pets. Calvin buys cat food in cylindrical can that are 6 centimeters in diameter and 12 centimeters high. Jamel buys cat food in cylindrical can that 12 centimeters in diameter and 6 centimeters high. What is the ratio of the volume of one of Calvin's cans of to the volume of one of Jamel's cans? express 40% of a right angle into radian measure Which are characteristics that make up capitalism?(Select all that apply.)government controlcompetitionequality freedom Which of the following is most likely to happen when a sound wave reflectsoff a hard surface? (Assume that neither the source of the sound nor the hardsurface is moving.)A. A change in speedB. An echoC. A change in pitchD. A beat frequency what is the answer to this equation? With a "vacuum breaker" you can ___. Please explain on how to do this. Themes are always clearly stated in stories. true or false? You discover that many consumers want easy access to pens in their cars, so you decide to produce a steering wheel that has a pen tucked inside that can conveniently pop out whenever someone needs it. The steering wheels become very popular with car companies. Developing this product is an example of what Can someone help me out nhit chit rt ca my chit rt c van trt l bao nhiu Because the American news Industry is dependent on advertising revenues to function and make a profit, decisions about news items may depend on:A. educational valueB. political significanceC. social importance ofD. how entertaining it is What is the volume of the cone below? radius is 10 and height is 81 What did Donatellos use of expression add to his sculptures?a.interestb.grace and poisec.a realistic qualityd.a mythic beauty