The roof of a house rises 9 ft over a run of 12 ft.
Determine the height of a vertical brace placed
8 ft from the low end of the roof.

Answers

Answer 1

The height of a vertical brace placed 8 ft from the low end of the roof is 6 feet.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Slope of roof = ratio of rise to run = rise / run = 9/12 = 3/4

If the brace is placed 8 ft from the low end of the roof, hence:

height of brace = slope * 8 = 3/4 * 8 = 6 ft

The height of a vertical brace placed 8 ft from the low end of the roof is 6 feet.

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Related Questions

Find the value of x,y and z​

Answers

Answer:

x = 95°

y = 40°

z = 95°

Step-by-step explanation:

a = 45° (Vertical angles)

y = 40° (corresponding angles)

z = 180° - (45° + 40°) (Interior angle sum theorem of a triangle)

-> z = 180° - 85°

-> z = 95°

x = z (vertical angles)

-> x = 95°

Chris wants to create a rectangular rose garden in a yard. he has 40 meters of fencing to go around the garden and he has to use it all. pick two ways he could construct the garden

Answers

Answer:

4x10 8x5

Step-by-step explanation:

Answer
1st way = 8W x 12L
2nd way = 6W x 14L
Reason
Using W as width and L length
We know Perimeter is 2w + 2L
1st way
8m width x 12m length =
2(8) + 2(12) =
16 + 24 = 40
2nd way
6m width x 14 length
2(6) + 2(14)=
12 + 28 = 40

how to round to 4 decimal places using calculator with the given number of tan 30

Answers

Answer:

0.5774

Step-by-step explanation:

1) Input tan(30) into a calculator to get 0.5773502692...

2) To count 4 decimal places, we start after the decimal point. This means that we end it at the first 3. Additionally, we round 3 up to 4 because of the digit after it which is 5.

[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]

What is the tangent of 30, rounded to 4 decimal places?

.

[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]

First, let's focus on this phrase - "tan 30"

.

What in the world could that possibly mean?

"tan" is the tangent, which is one of the six trig ratios.

.

The simplest way to find the tangent of 30 degrees is ... with a calculator!

[tex]\bf tan\quad 30 \approx 0.5774[/tex]

The answer has been rounded to 4 decimal places, like you asked.

Since the fifth decimal place was more than 5, I added 1 to the fourth decimal place - 0.5774, and not 0.5773.

[tex]\rule{300}{1.7}[/tex]

[tex]\bf tan 30\approx 0.5574. \quad Hope\;you\;will\;have\;a\;fantabulous\;day![/tex]

~ [tex]\boxed{\bf aesthetic\;\not{101}}[/tex]~

Games Made x
(in 1000s)
Profit y
(in $1000s)
4
6
8
10 12
118 142 150 142 118
Which type of function best models the data in the
table? Justify your choice.

Answers

The type of function that best models the data in the table is the quadratic function

How to determine the function type?

The table of values is represented as:

x: 4 6 8 10 12

y : 118 142 150 142 118

From the above table, we can see that:

The y values increase from 118 to 150The y values then decrease to 118The x values increase

This is only possible in a quadratic function

Hence, the type of function that best models the data in the table is the quadratic function

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A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?.

Answers

The number of rounds of bingo when the two costs would be the same is 3.

When would the two costs be the same?

The equation that represents the total cost for adults is : 13 +2r

The equation that represents the total cost for children: 10 + 3r

where r is the number of rounds

When the two costs are the same, the two above equations would be equal: 13 + 2r = 10 + 3r

13 - 10 = 3r - 2r

r = 3

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Smallest to greatest 4/9, 4.9, 49%

Answers

Answer:

4/9, 49%, 4,9

Step-by-step explanation:

4/9=0,444444

49%=0,49

4,9=4,9

answer?.............

Answers

Answer:

-21

Step-by-step explanation:

My guess would be -21 Im not sure but that is my guess because x=5 the normal answer would be negative 25 so my guess would negative 21

Solve 6x+7=3x+16
X=6
X=3
X=4
X=2

Answers

Answer:

x=3

Step-by-step explanation:

6x-3x=16-7

3x=16-7

3x=9

x=3

answer?.......................

Answers

When we mark the coordinates (0, 2), (1, 1), (x, 0), (9, -1) on graph we obtain option C.

The given function is [tex]y=2-\sqrt{x}[/tex].

We need to find which is the graph of the given function from the options.

What are coordinates?

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Take, x=0, 1, 4, 9, 16, 25, 36,....

Now, when x=0, y=2.

When x=1, y=1.

When x=4, y=0.

When x=9, y=-1

So, when we mark the coordinates (0, 2), (1, 1), (x, 0), (9, -1) on graph we obtain option C.

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convert the following numbers into scientific notation
3,400=
0.000023=
4.50=
1,000,000=
0.00671=

Answers

The Scientific notation of given numbers are  [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

The given numbers are 3400, 0.000023, 4.50, 1,000,000 and 0.00671.

What is scientific notation?

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

Now, [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

Therefore, the Scientific notation of given numbers are  [tex]3400=3.4 \times 10^{-3}[/tex], [tex]0.000023=2.3 \times 10^{5}[/tex], 4.50, [tex]1,000,000=1 \times 10^{6}[/tex] and [tex]0.00671=6.71 \times 10^{-3}[/tex].

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TIME REMAINING
57:11
Solve the equation for a.

K = 4a + 9ab

a = K(4 + 9b)
a = 4(K + 9b)
a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.
a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h.

Answers

An equation is formed of two equal expressions. The given equation can be solved for 'a' as a = K/(4+9b). Thus, the correct option is D.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation, K = 4a + 9ab can be solved for a as shown below,

K = 4a + 9ab

K = a(4+9b)

a = K/(4+9b)

Hence, the given equation can be solved for 'a' as a = K/(4+9b). Thus, the correct option is D.

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please help me. I really need to get this right. I appreciate the hard work

Answers

A function assigns the values. The value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The value of g(x) can be found by substituting the value of x as given in the function. Therefore, the values will be,

A.) x = -1

[tex]g(-1) = 6(\dfrac32)^{-1}\\\\g(-1) = 4[/tex]

B.) x = 0

[tex]g(0) = 6(\dfrac32)^0\\g(0) = 6[/tex]

C.) x = 1

[tex]g(1) = 6(\dfrac32)^1\\\\g(1) = 9[/tex]

D.) x = 2

[tex]g(2) = 6(\dfrac32)^2\\\\g(2) = 13.5[/tex]

Hence, the value of g(x) can be filled as 4, 6, 9, and 13.5, respectively.

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Please help me on this question!

Answers

Answer:

u = 10 ft

Step-by-step explanation:

cuboid volume = w × h × l

width * hight * length

560 = 7 × 8 × u

u = 10 ft

Answer:

u = 10 ft

Step-by-step explanation:

Volume of a rectangular prism = lwh

where:

l = lengthw = widthh = height

Given:

Volume = 560 ft³width = 7 ftlength = 8 ftheight = u

Substitute the given values into the formula and solve for h:

⇒ 560 = 8 × 7 × u

⇒ 560 = 56u

⇒ 56u ÷ 56 = 560 ÷ 56

⇒ u = 10 ft

Therefore, the height of the prism is 10 ft.

The pieces of a puzzle are placed half by Giulio, one fifth by Marco and Fabrizio in equal parts, while Michele arranges on the 90 pieces of the frame. how many pieces does Marco place?

Answers

The number of pieces that Marco places is given as follows:

30 pieces.

How to obtain the number of pieces that Marco places?

The number of pieces that Marco places is obtained applying the proportions in the context of the problem.

The fractions of each person are given as follows:

Giulio: 1/2.Marco and Fabricio: 1/5.

Hence the fraction composed by these three people is given as follows:

1/2 + 1/5 = (5 + 2)/10 = 7/10 = 0.7.

Hence Michele's fraction is given as follows:

1 - 0.7 = 0.3.

As Michele arranges 90 pieces, the total number of pieces is given as follows:

0.3x = 90

x = 90/0.3

x = 300.

Marco arranged one tenth, hence the number is:

0.1 x 300 = 30.

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Which of the following equations have exactly one solution?
Choose all answers that apply:

Answers

the equations that will have only one solution are:

19x - 18 = -19x + 18  (option c)19x + 18 = -19x + 18  (option d)

When we have only one solution?

An equation of the form:

a*x + b = c*x + d

Has one solution only if a ≠ c.

With that in mind, we can see that the equations that will have only one solution are:

19x - 18 = -19x + 18  (option c)

19x + 18 = -19x + 18  (option d)

In the other two cases, the slopes of the linear equations are equal, so these equations have no solutions or infinite solutions.

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Write the next 3 numbers in each sequence.

Answers

Answer:

The next 3 numbers will be 1 3/4, 2, and 2 1/4

Step-by-step explanation:

The numbers in the sequence are increase by 1/4. So to find the next number in the sequence and 1/4 to the previous number. Don't foget to simplify your answers. Ex.) Rather than saying 2 2/4 you would say 2 1/2.

simplify 2e + 3f + 7e + 5f

Answers

2e + 7e + 3f + 5f
= 9e + 8f

Convert the following common fractions to decimals. Round to three decimal places if necessary. You may use a
calculator. 3/4

1. 0.75
2. 3.4
3. 0.34
4. 7.5

Answers

1. 3/4
2.3 2/5
3. 34/100
4. 7 1/2

Which expression has a value of 16 when n = 5?
StartFraction 25 Over n EndFraction + 7
30 minus 3 n
7 + StartFraction 45 Over n EndFraction
n cubed minus 114

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

To solve the problem substitute the value of n as 5 in each expression and then simplify to check if it equals to 16 or not.

A.) (25/n) + 7

      = (25/5) + 7

      = 12

This is not the required expression.

B.) 30 - 3n

      = 30 - 3(5)

      = 15

This is not the required expression.

C.) 7+ (45/n)

       = 7 + (45/5)

       = 7 + 9

       = 16

This is the required expression.

D.) n² - 114

       = (5)³ - 114

       = 125 - 114

       = 11

This is not the required expression.

Hence, the correct option is C.

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A small dairy farm writes a business plan. It includes a graph showing the estimated amount of feed used each day in thousands of pounds, y, compared to the number of years since the farm began operating, x.



What does the y-intercept represent?

the estimated amount of years the farm can afford feed
the maximum feed per day estimated for the life of the farm
the estimated amount of feed per day for the start of the farm
the maximum years the farm needs the originally estimated feed per day

Answers

The y intercept means , the estimated amount of feed per day for the start of the farm , Option C is the right answer.

What is a function ?

A function is a law that relates two variables , independent and dependent variable.

It is given that

On y axis , amount of feed used each day in thousands of pounds,

On x axis,  number of years since the farm began operating

The y intercept means x = 0 , which means at the starting of the farm , the feed needed per day.

Therefore Option C is the right answer , the estimated amount of feed per day for the start of the farm.

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Multiply (5z + 6)(2z + 1)(2z - 1)
Pls help and explain WELL ty

Answers

Answer:

[tex]\huge\boxed{\sf 20z\³ + 24z\² - 5z - 6}[/tex]

Step-by-step explanation:

Given expression:

= (5z + 6)(2z + 1)(2x - 1)

Using formula (a + b)(a - b) = a² - b²

= (5z + 6)[(2z)² - (1)²]

= (5z + 6)(4z² - 1)

Distributing

= 5z (4z² - 1) + 6(4z² - 1)

= 20z³ - 5z + 24z² - 6

Arrange

= 20z³ + 24z² - 5z - 6

[tex]\rule[225]{225}{2}[/tex]

ST
6
9
10
Which phrase best describes the translation from the graph y = 2x² to the graph of y = 2x² + 5?
O 5 units up
O 5 units down
O 5 units right
O 5 units left

Answers

The answer to the question is 5 units up.

if each interior angle of a regular polygon measures 180° how many sides does it have

Answers

Answer:

This is impossible.

Step-by-step explanation:

The interior angle of a regular polygon is equal to

[tex] \frac{180(n - 2)}{n} [/tex]

where n is the number of sides.

Setting this equal to 180°,

[tex] \frac{180(n - 2)}{n} = 180 \\ \\ \frac{n - 2}{n} = 1 \\ \\ n = n - 2 \\ \\ 0 = - 2[/tex]

which is false.

Se calcula que el 2013 habia 19,000 árboles en la ciudad. el año 2014.para prevenir caídas de árboles viejos, se corto el 2% y el 2015 se quemó en un incendio el 5% de lo que quedaba
A) En que porcentaje disminuyó el número de árboles de 2013 a 2015?
B) Cuantos árboles quedan en esta ciudad a fines del 2015?

Answers

Answer:

yyjyidsksjsjsosiddhdoehsudidhdhsjidjsjsjejsksksksjsjsjdd

Simplify the expression when j = 5 and k = 3
*
1 point
Captionless Image
3
-9/5
41/3
6

Answers

Answer:

1 7

_

8

Step-by-step explanation:

5 x 3 = 15

5 + 3 = 8

=1 7

_

8

A seal went 15 feet below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a larger fish. What expression represents the sea lion’s position in relation to sea level?

Answers

Answer:

The sea lion dives 24 feet.

Step-by-step explanation:

A seal (S) dives 15 feet.

A sea lion (SL) dives 6 feet less than 2 times the seal's dive.  That can be expressed as:

SL = 2S -6

Since we know S = 15, we can say:

SL = 2*(15) - 6

SL = 24 feet

The sea lion dives 24 feet.

HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help

Answers

Using proportion, the equivalent units of the following units rounded to the nearest hundredth are as follows:

6km =  3.73 miles2.5 Litres = 0.66 gallons90 pounds = 40.82 kg

How to use proportion to find equivalent units?

Using proportion,

1.60934 km = 1 miles

6 km = ?

cross multiply

distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles

1 litre = 0.264172 gallons

2.5 litres = ?

volume(gallons) = 2.5 × 0.264172 = 0.66 gallons

1 pounds = 0.453592 kg

90 pounds  = ?

cross multiply

weight(kg) = 40.82328 = 40.82 kg

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3n-5p+2n=10 solve for n

Answers

Answer:

n=3p

Isolate the variable by dividing each side by factors that don't contain the variable.



3n - 5p + 2n = 10
5n - 5p = 10
5n = 10 + 5p
n = 2 + p

Write the quadratic equation whose roots are 3 and 1, and whose leading coefficient is 1

Answers

Answer:

x² - 4x + 3 = 0

Step-by-step explanation:

given roots x = a and x = b then the corresponding factors are

(x - a) and (x - b)

the equation is then the product of these factors , that is

(x - a)(x - b) = 0

given

roots x = 3 and x = 1 , then factors are (x - 3) and (x - 1) , then

(x - 3)(x - 1) = 0 ← expand factors using FOIL

x² - 4x + 3 = 0

Does the chart below represent a proportional relationship? What is the rate of change?

x
y
1
4
2
7
3
10
4
13

Answers

Answer:

C will be your answer.

Please Mark as brainlist!

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Product package sizes are becoming smaller around the world in a phenomenon called. The absolute value of -183 is _______. Oscar consumes both video games and Pepsi.a. Given the table, what is Oscars total utility from purchasing three video games and 2 Pepsis?b. Assume that Oscar has a weekly income of $20. If the price of a video game is $5 and the price of Pepsi is $2, what quantity of video games and Pepsi maximizes Oscars utility (he does not use his money for any other purchases)?c. Assume that the price of Coca Cola drops. Does this increase, decrease, or not change Oscars demand for Pepsi?d. Suppose that Oscars income elasticity for Pepsi is -0.5. Does the value of Oscars income elasticity indicate that Pepsi is a normal good, an inferior good, a substitute, or a complement?e. Suppose that when the price of video games increases by 20 percent, Oscar buys 10 percent fewer video games and 2 percent less of other computer equipment. Calculate the cross-price elasticity for video games and computer equipment and indicate if it is positive or negative. in january of 2013, mr edwards turned 64 years old. in what year was mr edwards born. What are the requirements for taking part in a federal election? Check allthat apply. WHAT ARE THE SOUND SIGNALS DO YOU EXPECT TO HEAR FROM EACH OF THE TARGETS? Billy attends a training session that he enjoys tremendously. However, when he takes a knowledge test after the training, it is clear that he has not gained any new knowledge on the training content. In this example, the training demonstrated good results in terms of __________ criteria, and poor results in terms of __________ criteria identify wheather each statement describes the torah or the talmud whats 10 + 4? i need to know if you answer you get 25 points What is the square root of 48 simplified? A researcher uses an anonymous survey to investigate the social media habits of American college students. Based on the set of 300 surveys that were completed and returned, the researcher finds that students spend an average of 2 hours each day using social media. The set of 300 students who returned surveys is an example of a _____. factoring 8x^2-12x-8 Which line is perpendicular to a line that has a slope of -5/6? Bees are commonly found near flowering plants.(a) Describe how bees help plants to reproduce. Mark's Digital Place has a compact digital camera at a price of $425, a 8 inch tablet for $540 and agame console for $610. If you want to get an additional three years warranty, then you need to pay15% extra on the original price and $50.Daphne wants to buy a digital camera and a tablet to start a photography course. When she went intothe store, she found that the store id offering a discount of 5% on the camera and 80 on the tablet.Daphne also want the additional three years warranty. How mch money does Daphne need to pay tobuy both the items with a three years additional warranty on each item? Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system? The equation -x = y + 7 written in slope-intercept form is is it possible to use this cpu with mb still even with the warning? The Voyager spacecraft is moving at 17 000 m/s. How far will it travel in one year? Give your answer in km. Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown below:A coordinate grid is shown from negative 5 to 0 to 5 on both x- and y-axes. A polygon ABCD has A at ordered pair 2, 3, B at ordered pair 4, 4, C at ordered pair 3, 1, D at ordered pair 2, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 1, 3, B prime at ordered pair negative 3, 4, C prime at ordered pair negative 2, 1, D prime at ordered pair negative 1, 1.Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?