To find the diagonal of a door frame, use the Pythagorean theorem. Substitute the door's height and width into the formula, then find the square root of the sum. Round your answer to the nearest tenth.
Explanation:To find the length of the diagonal of the door frame, we can use the Pythagorean theorem, which states that the square of the hypotenuse (the long side, or in this case, the diagonal) is equal to the sum of the squares of the other two sides (height and width of the door).
So, the formula becomes: Diagonal = √((Height)^2 + (Width)^2)
Substitute the given values of the height and width into the equation: Diagonal = √((80 inches)^2 + (36 inches)^2) = √(6400 + 1296) = √7696
The square root of 7696 is about 87.7 inches. So, the length of the diagonal of the door frame, rounded to the nearest tenth, is 87.7 inches.
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To calculate the length of the diagonal of the door frame, use the Pythagorean theorem by squaring the width and height, adding the squared values, and then taking the square root. The length of the diagonal is approximately 87.9 inches.
Explanation:To calculate the length of the diagonal of the door frame, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the width and the height of the door frame form the legs of the right triangle, and the diagonal is the hypotenuse. Using the Pythagorean theorem, we can calculate the length of the diagonal as follows:
Therefore, the length of the diagonal of the door frame is approximately 87.9 inches, rounded to the nearest 10th.
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Add 4 yards 2 feet 8 inches, 3 feet 11 inches and 6 yards 6 feet and 6 inches
The sum of 4 yards 2 feet 8 inches, 3 feet 11 inches and 6 yards 6 feet and 6 inches is 11 yards and 1 foot or 11 1/3 yards and 7 inches, using standard conversions between inches, feet, and yards.
Explanation:To solve this problem, we first need to recall the relationships between inches, feet, and yards. There are 12 inches in a foot, and 3 feet in a yard.
Starting with the yards, you have 4 yards plus 6 yards giving you a total of 10 yards. Moving on to feet, you have 2 feet from the first measurement, and 6 feet from the third measurement. Also, remember to convert the 3 feet in the second measurement into 1 yard and add it to your yards total, which makes 11 yards and leaves you with no feet. For inches, add 8 inches from the first measurement and 11 inches from the second measurement for a total of 19 inches.
Then, convert these measurements to the highest unit possible. Your 19 inches equals 1 foot and 7 inches. Add this foot to your feet total and you have 1 feet and 11 yards. Finally, convert feet to yards: 1 foot is 1/3 of a yard, so you finish with a total of 11 1/3 yards and 7 inches.
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Which points are on the graph of g(x)=(1/5)x
Select EACH CORRECT ANSWER
If a point is on the graph of the exponential equation then it should be true when you solve.
g(x) = (1/5)^x
y = (1/5)^x
1/125 = (1/5)^3
cbrt(1/125) = 1/5
.2 = 1/5
.2 = .2 YES
5 = (1/5)^-1
5 = 5 YES
1/25 = (1/5)^-2
-2root(1/25) = 1/5
5 = 1/5 NO
0 = (1/5)^1
0 = .2 NO
The correct answers are A and B.
This is about understanding input and output of a graph.
Correct Points are;
Option B; (-1, 5) and Option A; (3, 1/125)
The graph function is given as; g(x) = (1/5)ˣ
x is the input value which is on the x-axis
g(x) is the output value which is on the y-axis
This will follow a coordinate writing system of (x, y)
Option A; (3, 1/125) means that when x = 3, y = 1/125Let us put 3 for x in the function;
y = (1/5)³
y = 1/125
y = 1/125 corresponds to y = 1/125 and so it is correct.
Option B; (-1, 5) means that when x = -1, y = 5
Let us put -1 for x in the function;
y = (1/5)⁻¹
y = 5
y = 5 corresponds to y = 5 and so it is correct.
Option C; (-2, 1/25) means that when x = -2, y = 1/25Let us put 3 for x in the function;
y = (1/5)⁻²
y = 25
y = 1/25 doesn't correspond to y = 25 and so it is not correct.
Option D; (1, 0) means that when x = 1, y = 0Let us put 1 for x in the function;
y = (1/5)¹
y = 1/5
y = 0 doesn't correspond to y = 1/5 and so it is not correct.
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John is a software salesman. Let y
represent his total pay (in dollars). Let x represent the number of copies of Math is great he sells. Suppose that x and y are related by the equation
What is the change in John's total pay for each copy of Math is great he sells?
What is Johns total pay if he doesn't sell any copies of Math is great?
Answer:
see below please give brainliest
Step-by-step explanation:
X times cost = Y
If he doesn't sell any books than he doesn't make any money. Each time he sells a book his pay will go up the cost of the book.
2.0 is what times greater than 0.02
what is the equation in point-slope form of the line passing through (0,6) and has a slope of 4
I hope this helps.
Y - 4 = 4 ( X-0)
So the main equation is
Y - y1 = m ( X - x1 )
Y1 = 6
M (slope) = 4
X1 = 0
What is the first step in solving a quadratic equation with the form given below (ax+b)^2=c
Answer:
rearrange all of the terms
Step-by-step explanation:
The first step is to arrange the TERMS correcty
a survey was taken of children between the ages 7 and 12. let A be the event that the person rides the bus to school, and let B be the event that the person has 3 or more siblings.
Answer:
The statement is true about whether A and B are independent eventa is fourth option:
A and B are not independent events because P(A/B)=0.375 and P(A)=0.25
Step-by-step explanation:
Let A be the event that the person rides the bus to school, then:
P(A)=75/300
P(A)=0.25
Let B be the event that the person has 3 or more siblings, then:
P(B)=24/300
P(B)=0.25
P(A/B)=9/24
P(A/B)=0.375
Like P(A/B)=0.375 is different to P(A)=0.25 the events are not independent
Answer. Fourth option:
A and B are not independent events because P(A/B)=0.375 and P(A)=0.25
Answer: D is the answer
Step-by-step explanation:
whuch of the following truth tables shows the statement ~p ~q
Answer:
i dont understand but this is what i got from it
I think it b because p and q haves 4 T and 4 F and when formated with -q and -p it makes T(times 3) F(1)
Answer:
B.
p q ~q p ∧ ~q
T T F F
T F T T
F T F F
F F T T
Step-by-step explanation:
Which table represents a nonlinear function?
a number divided by 70 has a quotient of 5 with the remainder of 14 what is the number and show your work
The number that divided by 70 results in a quotient of 5 with a remainder of 14 is 364. This can be calculated using the division algorithm formula 'Dividend = Divisor* Quotient + Remainder'.
Explanation:The division mentioned in the question can be represented using the division algorithm formula: Dividend = Divisor* Quotient + Remainder.
In your problem, the divisor is 70, the quotient is 5, and the remainder is 14. To find the dividend (which is the number you are trying to find), you simply substitute these values into the formula:
Dividend = 70*5 + 14
So, Dividend = 350 + 14 = 364.
Therefore, the number that when divided by 70, gives a quotient of 5 with the remainder of 14 is 364.
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What additional information can be used to prove ΔVUW ≅ ΔYXZ by SAS? A) WU ≅ ZX B) WU ≅ ZY C) XZ ≅ VU D) XY ≅ VU
Answer:
Step-by-step explanation:
A
and
D
Answer:
A) WU and ZX
Step-by-step explanation:
The points are (-2,4) and (6,-1)
Answer: the slope is -5/8 so the mid point would be 2,1.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
You are half way there when you record the endpoints from the graph correctly. Nice work.
The midpoint is found by this formula
(x_mid,y_mid) = (x1 + x2)/2 , (y1 + y2)/2
Givens
x1 = -2x2 = 6y1 = 4y2 = -1Solution
(x_mid,y_mid) = (-2 + 6)/2, (4 + - 1)/2
(x_mid,y_mid) = (2, 1.5) Answer
Graph
really confused and am on final attempt!
Answer:
C
Step-by-step explanation:
the legs of a 30-60-90 triangle are 1 and [tex]\sqrt{3}[/tex], while the hypotenuse is 2.
the ratio of the legs is therefore 1 : [tex]\sqrt{3}[/tex] → C
PLEASE HELP THIS IS VERY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
I would have to that it would be about 9 miles because is you go up from oceanfront the it is 9 but if you going sideways it is more then 10. I am so sorry if i get this wrong. Good luck
Why is the result of converting 1500 yards into miles? Remember that 1 mile =1760 yards
Answer:
x = 75/88 miles
or
x = 0.85227 (27 repeated) miles
Step-by-step explanation:
1 mile =1760 yards
x miles = 1500 yards
x = 1500 / 1760
x = 75/88
or
x = 0.85227 (27 repeated)
Answer:
1500 yards=0.85 miles
Step-by-step explanation:
we are given
1500 yards
we have to convert it into miles
we are also given
1 mile=1760 yards
hence
1 yard=1/1760 mile
and
1500 yards=1500/1760 miles
1500 yards=0.85 miles
Azul orders 5 veggie pizzas for his birthday party.he orders enoghe for every one to eat 5/6 of the pizza hpw many people can he feed
Answer:
He can feed 5 people
Step-by-step explanation:
divide pizzas in the number of people to how much people will eat.
divide 5 by invisible number, x. getting the answer of 5/6
x=6
Answer:6
Step-by-step explanation:
The admission fee at a county fair is $2 for children and $4 dollars for adults. Suppose that on the last day, 1600 people enter the fair and $5000 is collected. Choose the two equations that can be solved as a system of equations to determine how many children and how many adults attended the fair.
1.) a-c=1600
2.) 4a+2c=5000
3.) 4a-2c=5000
4.) a+c=1600
Answer:
2500 children and 625 adults could have attended on this day.
Step-by-step explanation:
5000 divided by 2 is 2500, so 5000 - 2500 = 2500
2500 divided by 4 is 625.
--Emilie Xx
The two equation which are required to know the number of children and student attended the fair are a+c=1600 and 4a+2c=5000. Option 2 and 4 are correct.
What is a system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Let c is the number of children attended the fair and a is the number of adults attended the fair. The total number of people attended the fair is 1600. Thus,
a+c=1600
The fee of admission at a county fair is $2 for children and $4 dollars for adults and total $5000 is collected. Thus,
4a+2c=5000
Hence, the two equation which are required to know the number of children and student attended the fair are a+c=1600 and 4a+2c=5000. Option 2 and 4 are correct.
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The weight of wrestlers on the team varies by 74 lbs is that mean,median,range or mode
Hmmm, I think it sound more like the average. So mean. I'm not 100% sure but it isn't the median or the mode.
Look at the figure shown below: A triangle RPQ is shown. S is a point on side PQ and T is a point on side PR. Points S and T are joined using a straight line. The length of PS is equal to 3x, the length of SQ is equal to 24, the length of PT is equal to 51 and the length of TR is equal to 34. Dora is writing statements as shown below to prove that if segment ST is parallel to segment RQ, then x = 12: Statement Reason 1. Segment ST is parallel to segment QR Given 2. Angle QRT is congruent to angle STP Corresponding angles formed by parallel lines and their transversal are congruent. 3. Angle SPT is congruent to angle QPR Reflexive property of angles. 4. Triangle SPT is similar to triangle QPR Angle-Angle Similarity Postulate 5. ? Corresponding sides of similar triangles are in proportion. Which equation can she use as statement 5? (3x + 24):3x = 85:51 (3x + 24):85 = 3x:51 (3x + 24):51 = 3x:85 34:24 = 3x:51
Answer:
(A)
Step-by-step explanation:
The Postulate states that corresponding sides of similar triangles are in proportion.
We know that similar triangles are the triangle which have congruent triangles and and the corresponding sides are in proportion
Now in ΔSTP and ΔRPQ, corresponding sides are : (RP,TP); (RQ,TS) ; (PQ,PS)
So we have RP:TP = PQ:PS
TP= 51; RP= 85; PS = 3x; PQ = 3x+24
PQ : PS = RP : TP
3x+24 : 3x = 85 : 51
Hence 5 statement represents (A) equation
Answer: A) (3x + 24):3x = 85:51
3x - 4y = 16 determine the missing coordinate in the ordered pair (0, ?) so that will satisfy the equation
Answer:
(0, - 4)
Step-by-step explanation:
What you are looking for is the y value when x = 0. So make x = 0 in the original equation.
3x - 4y = 16
3(0) - 4y = 16
- 4y = 16 Divide by -4 on both sides.
-4y/- 4 = 16/-4 Do the division.
y = - 4
solve for d if :s=d/c/6
I can't help you out my brother It's too hard
Answer: d=sc/6. that's what i got.
Step-by-step explanation:
Eduardo piensa en un número entre 1 y 20 que tiene exactamente 5 factores. ¿En qué número está pensando?
Answer:
Hola,
1, 2, 4, 5, 10, 20
Step-by-step explanation:
PLS HELP ME NOW!! 55 POINTS!
Answer:
x=56
The exterior angle is 116
Step-by-step explanation:
The three angles of a triangle add to 180 degrees.
Lets call the unknown angle in the triangle y
y ,2x+4 make a straight line so they are supplementary. That means they add together to make 180 degrees
y + 2x+4=180
Lets solve for y by subtracting 2x+4 from each side
y + 2x+4 - (2x+4) = 180 - (2x+4)
y = 180 -2x-4
y = 176 -2x
The three angles x , 60 and y add together to make 180 degrees.
x + 60 + y = 180
Substituting in for y
x + 60 + 176 -2x = 180
Combine like terms
-x + 236 = 180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Divide by -1
x = 56
The exterior angle is 2x+4
2(56) +4
112+4
116
Answer: 1) x=56
2) value of the exterior angle: 116
Step-by-step explanation:
1. to solve for x, set up the equation that equals to the exterior angle
60 + x = 2x + 4
-x + 60 = 4
-x = -56
x = 56
2. now insert x (56) to the exterior angle expression
2 (56) + 4
112 + 4
116 degrees
12. A pack of cinnamon-scented pencils sells for $4.00. What is the sales tax rate if the total cost of the pencils is $4.32?
13. How can you solve problems involving percents?
Answer:
12) tax rate is 8%
13) convert percent to decimal format
Step-by-step explanation:
12) 4.32/4.00 = 1.08
1.08 - 1 = 0.08
0.08 * 100 = 8%
13) Convert all % to decimal format.
Do this by dividing the percent by 100
e.g. 10% = 10/100 = 0.10
how do you graph the linear equation y=9.5X
To graph the linear equation y= 9.5X, plot the y-intercept at point (0,0) due to the absence of +b. From there, move 1 unit to the right and 9.5 units up and place another point and do it several more times. Connect the points to form the line.
Explanation:To graph the linear equation y=9.5X, you need to understand that this is an equation of a line in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is 9.5 and the y-intercept is 0 (since there is no +b following the 9.5).
Start by marking the y-intercept, which is at point (0,0), on your graph. The slope of 9.5 means that for every 1 unit you move to the right along the x-axis, you move up 9.5 units on the y-axis. So, from the y-intercept, you'd go over 1 and up 9.5, placing a point there. Do this several more times, then connect the points to form your line.
This line represents all solutions to the equation y=9.5X, meaning any point on the line satisfies the equation.
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Final answer:
To graph y=9.5X, plot the y-intercept at (0,0), then use the slope to find another point by moving right 1 unit and up 9.5 units, plot this point, and draw a line through both points.
Explanation:
To graph the linear equation y=9.5X, you start by identifying the slope and y-intercept. In this case, the equation is already in the slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept. Since there's no plus or minus a number after 9.5X, the y-intercept is 0. The slope is 9.5, meaning for every increase of 1 unit in X, y increases by 9.5 units.
To graph this, you first plot the y-intercept at (0,0) on the vertical axis. Then, use the slope to find another point. From the y-intercept, move right 1 unit along the horizontal axis (increasing X by 1), and then move up 9.5 units on the vertical axis (increasing y by 9.5). Plot this second point. Finally, draw a straight line through both points, extending it in both directions. This line represents the equation y=9.5X.
A study revealed that most orchards that used a new fertilizer harvested peaches with multiple pits. However, orchards that did not use the new fertilizer did not harvest any peaches with multiple pits.
The most reasonable conclusion that can be made from the study is that the new fertilizer ___________
1. is associated with the growth of peaches with multiple pits but does not cause it
2.is not related to the growth of peaches with multiple pits
3.causes the growth of peaches with multiple pits
4.prevents the growth of peaches with multiple pits
Answer:
causes the growth of peaches with multiple pits
Step-by-step explanation:
I got a 100% on the test :)
Option 3 "causes the growth of peaches with multiple pits" is the correct answer.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have:
A study revealed that most orchards that used a new fertilizer harvested peaches with multiple pits.
In this study the cases are as follows:
Case 1: Adding fertilizer
The end result is that peaches are plucked while still full of pits.
Case 2: Leaving out fertilizer
As a result, no peaches are picked up with multiple pits.
Thus, option 3 "causes the growth of peaches with multiple pits" is the correct answer.
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A company sells name plates for doors. An employee takes a random sample of name plates, measures the length of each name (in inches), and counts the number of letters in each name. She generates the scatterplot and trend line equation shown below.
A customer would like the company to build him a name plate that is 22 inches long. What is the best estimate of the number of letters the company can have on the name plate?
A. 9
B. 10
C. 12
D. 39
Answer:
C. 12
Step-by-step explanation:
We have been given a scatter plot and trend line equation for the length of name plates (y) in inches for number of letters (x).
The given equation is: [tex]y=1.75x+0.5[/tex]
To find number of letters in a number plate that is 22 inches long we will substitute y=22 in our given equation.
[tex]22=1.75x+0.5[/tex]
[tex]22-0.5=1.75x+0.5-0.5[/tex]
[tex]21.5=1.75x[/tex]
[tex]x=\frac{21.5}{1.75}[/tex]
[tex]x=12.2857142857142857\approx 12[/tex]
Therefore, the company can have 12 letters on 22 inches long name plate and option C is the correct choice.
Answer:
C. 12
Step-by-step explanation:
what value of n makes the equation 4(0.5n -3) = n-0.25 (12 - 8n) true
Answer:
n = -9
Step-by-step explanation:
4(0.5n -3) = n-0.25 (12 - 8n)
First use the Distributive Law to expand the parentheses:-
2n - 12 = n - 3 + 2n
2n - 12 = 3n - 3
Subtract 2n from both sides:-
-12 = n - 3
Add 3 to both sides:-
-9 = n
What is the lateral area of the pyramid?
We have two triangles with base 9ft and height 12.3ft and two triangles with base 11ft and height 11.9ft.
The formula of an area of a triangle:
[tex]A_\triangle=\dfrac{1}{2}bh[/tex]
Triangle #1:
b = 9ft and h = 12.3ft. Substitute:
[tex]A_1=\dfrac{1}{2}(9)(12.3)=55.35ft^2[/tex]
Triangle #2:
b = 11ft and h = 11.9ft. Substitute:
[tex]A_2=\dfrac{1}{2}(11)(11.9)=65.45ft^2[/tex]
The Lateral Area:
[tex]L.A.=2A_1+2_A2\\\\L.A.=2(55.35)+2(65.45)=241.6\ ft^2[/tex]
Answer: B. 241.6 ft².Answer: B
Step-by-step explanation:
The point here, on calculating the Lateral Area of a Pyramid is searching for Congruent Triangles. In a rectangular pyramid, we have four triangles, in the Lateral Area.
The basic formula for calculating the Area of any triangle is:
Δ[tex]=\frac{1}{2}*base*height[/tex]
So, let's plug it in the values for the 1st triangle:
Δ[tex]\frac{1}{2}* 11*11.9[/tex]
Δarea=[tex]65.45 ft^{2}[/tex]
For the second triangle (on the left):
Δ=[tex]\frac{1}{2}*9*12.3=\\ 55.35 ft²[/tex]
The base is a rectangle, this assures us the base of the other faces is also 9 ft and 11 ft.
So we can assume the other Triangle are congruent to Triangle 1 and 2.
The Lateral Area is the sum of all Pyramid's Triangles area:
55.35+55.35+65.45+65.45=241.6 ft²
A rectangular school banner has a length of 40 inches and a width of 24 inches. A sign is made that is similar to the school banner and has a length of 18 inches. What is the ratio of the area of the school banner to the area of the sign?
The area of the school banner is approximately 5 times larger than the sign. Area was calculated by multiplying length by width for each, then the ratio was found by dividing the banner area by the sign area.
Explanation:The subject of this question is mathematics, mostly involving geometrical comparison and proportions between squares. First, you would need to calculate the area of both the banner and the sign. The area of a rectangle is calculated by multiplying its length by its width, so the areas would be 40 inches x 24 inches = 960 square inches for the banner and, the sign would have similar proportions, so width = 18 inches x (24/40) = 10.8 inches, so the area of the sign would be 18 inches x 10.8 inches = 194.4 square inches. Finally, the ratio of the area of the school banner to the area of the sign would be 960/194.4 = 4.94 (approximately). This means the banner is about 5 times larger than the sign.
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