Answer:
d = 48.03 feet
Step-by-step explanation:
Given that,
The maximum angle for a wheelchair ramp entering a business at 4.76 degrees.
We need to find the horizontal distance needed to accomidate a ramp that goes up to a door 4 feet of the ground.
We can solve it using trigonometry.
[tex]\tan\theta=\dfrac{h}{d}[/tex]
Where
h is height
d is the angle of elevation
[tex]d=\dfrac{h}{\tan\theta}\\\\d=\dfrac{4}{\tan(4.76)}\\\\d=48.03\ ft[/tex]
So, the horizontal distance is equal to 48.03 feet.
The ______ is the number that is being repeated as a factor.
subtract 3 1/6 1/7/12
Answer:
0 < 1 < 3 1/6
Step-by-step explanation:
0/6<6/6<19/6
0 is less than 1 is less than 3 1/6
HELPPPP
Jen ran directly toward school at a constant velocity for 36 seconds. In one-third of that time, she ran 120 meters. What was her velocity?
Answer is 10 m/s
Step-by-step explanation:-First, we need to calculate one-third of 36 seconds :
[tex] \frac{1}{3} \times 36[/tex]
[tex] \frac{36}{3} [/tex]
[tex]12[/tex]
Now, to find velocity, let's divide the distance by time :
[tex]velocity = \frac{distance}{time} [/tex]
[tex]velocity = \frac{120}{12} [/tex]
[tex]velocity = 10 \: m/s[/tex]
Therefore, Jen's velocity is 10 m/s .
✍️ By Benjemin ☺️
round to nearest ten 8,990.97
Answer:
8990
Step-by-step explanation:
The 9 underlined is in the tens place.
8990.97 ⇒ 8990
Since you can't round up, you replace everything after the underlined 9 with 0's.
8990.00 = 8990
Round your answer to THREE (3) decimal places. If you do not round correctly, your answer will be marked incorrect.
If necessary, add zeros to your decimal to have 3 decimal places.
Your answer will be counted wrong if does not have 3 decimal places.
Answer:
Step-by-step explanation:
you need to add all 5 numbers together, then divide my 5. the answer should be 89.6
Solve for x .. can someone please help me
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
[tex]7x + 49 = 2x + 94 \\ 7x - 2x = 94 - 49 \\ 5x = 45 \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]
I hope I helped you^_^
solve 8(m - 5 ) = 48
solve x + 7 = 13
solve 3h - 5 = 12
please answer with an explanation
giving 30 points
Answer
[tex]1)8(m -5 ) = 48 \\ 8m - 40 = 48 \\ 8m = 48 + 40 \\ 8m = 88 \\ \frac{8m}{8} = \frac{88}{8} \\ m = 11[/tex]
[tex]2)x + 7 = 13 \\ x = 13 - 7 \\ x = 6[/tex]
[tex]3)3h - 5 = 12 \\ 3h = 12 + 5 \\ 3h = 17 \\ \frac{3h}{3} = \frac{17}{3} \\ h = 5 \frac{2}{3} [/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
Answer:
m=11, x=6, h=5 2/3
Step-by-step explanation:
8(m-5) = 48
m-5 = 48/8 = 6
m = 6+5 = 11
m = 11
x + 7 = 13
x = 13-7 = 6
x = 6
3h - 5 = 12
3h = 12 + 5 = 17
h = 17/3 = 5 2/3 or 5.67
a teacher is making bags of different colors of modeling clay. the table shows the amount of each color she has avalible. each color will be divided into 3/16 pound bags. how many more bags of purple can she make then yellow?
Using the subtraction operation, the number of purple bags is 3 more than the number of yellow bags.
Amount of each color available :
Amount of purple color = 64 Amount of Yellow bags = 48Amount of color in pound required per bag = [tex]\frac{3}{16} [/tex]Number of Purple bags :
Amount of color required per bag × Amount of purple color
Number of purple bags = [tex]\frac{3}{16} \times 64 = 12[/tex]
Number of Yellow bags :
Amount of color required per bag × Amount of Yellow color
Number of yellow bags = [tex]\frac{3}{16} \times 48 = 9[/tex]
Now we find the difference between the number of Purple and Yellow bags :
Number of purple bags - Number of yellow bags
Difference = 12 - 9 = 3 bags
Therefore, there are 3 more purple bags than Yellow bags.
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ASAP plz!!!
Help help help help help and explain plz
Answer:
AAS
Explanation:
The angles come first in that triange and then the side
Find the value of x.
A) 10
C) 11
E) 8
B) 6
D) -6
{2x + 3y = 10 -6x + y = 20 si se resuelve por el metodo de igualación ¿ cual es la igualdad que resulta si se despeja la variable y de ambas ecuaciones?
Answer:
Step-by-step explanation:
So im gonna be using the substitution method because its easier
We divide the equations into two and solve for y
-6x+y=20
We add 6x to both sides
-6x+y+6x=20+6x
y=6x+20
Now we plug in 6x+20 for y into the other equation
2x+3y=10
2x+3(6x+20)=10 We can simplify now
20x+60=10
20x=-50
take 20 from both sides so its gonna be a fraction
-5/2
We plug in -5/2 for x
y=6(-5/2)+20
y=5
]so therefore x is -5/2 and y is 5
珠ɪᴢᴜᴍɪᴿᴬᴳᴱ
The equality of the expression after removing y by substituting y is 2x + 21 = 10 - 6x + 7 = 20.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
Given the expression,
2x + 3y = 10 -6x + y = 20
So,
2x + 3y = 20 and 10 - 6x + y = 20
To remove y we need to find y and substitute.
So by substituting,
10 - 6(20 - 3y)/2 + y = 20
y = 7
So,
2x + 21 = 10 - 6x + 7 = 20
Hence "The equality of the expression after removing y by substituting y is 2x + 21 = 10 - 6x + 7 = 20".
For more about the equation,
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#SPJ2
The given question is in the Spanish language in English it is ;
{2x + 3y = 10 -6x + y = 20 if it is solved by the equalization method, what is the equality that results if the variable y is cleared from both equations?
Al simplificar la expresión -3(a – b) + 5b – {2a + b + [a – 3b – (2b – a) + 5b] – a}, se obtiene:
Al simplificar la expresión-3 (a - b) + 5b - {2a + b + [a - 3b - (2b - a) + 5b] - a}, se obtiene: - (6a + 7b)
La simplificación de expresiones algebraicas requiere la eliminación de los corchetes por sus factores de multiplicación seguido de la combinación y agrupación de los términos semejantes en suma y resta.
De la información proporcionada:
= -3 (a - b) + 5b - {2a + b + [a - 3b - (2b -a) + 5b] - a}El primer paso es abrir los soportes de adentro hacia afuera.
i.e.
= -3a + 3b + 5b - {2a + b + [ a - 3b - 2b + a + 5b] - a}= - 3a + 3b + 5b - {2a + b + a - 3b - 2b + a + 5b - a}= - 3a + 3b + 5b -2a - b - a + 3b + 2b - a -5b + aAhora, el siguiente paso es la reorganización;
= - 3a - 2a - a - a + a + 3b + 5b - b + 3b + 2b - 5b= - 6a - 7b
Por factorización;
= - (6a + 7b)
Por tanto, podemos concluir que la simplificación de la expresión anterior es - (6a + 7b).
Obtenga más información sobre la expresión algebraica aquí:
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help me asapppppp plssd
Answer:
hello friend i want u to know that im 9 and thank you for your help
solve the fallowing system of equations for x
x+2y=4
x-2y=12
Step-by-step explanation:
x+2y=4
x-2y=12
______ ( add both equation)
2x = 16
x= 16/2
x= 8
Hope it helps ya
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
Answer:
the lines are perpendicular they cross each other in a 90* angel
Step-by-step explanation:
Please help !!!!!!!!!!
Answer:
100, -20 times time -5 makes the negatives turn it positive
If f(x) = 9, find x.
Answer:
Graph under 10, only a bit, (0,9) because y = 9
Step-by-step explanation:
solve Kx + 12 = 3kx for x
Answer:
Here’s the link to the answer
https://brainly.com/question/4954271
4 raise to power 1over6 x 4 raised to power 1 over3
Answer:
32
Step-by-step explanation:Reduce the expression, if possible, by cancelling the common factors.
The ratio of the number of cookies to the number of cupcakes in a box is 5:4. Which table shows the possible amounts of cookies and cupcakes in a box, given the ratio?
Answer:
each number in the ratio is continually multiplied by 2 どういたしまして(You are welcome) :)
Step-by-step explanation:
What are the correct solutions to the quadratic
equation y2 – 13y + 40 = 0?
y = -5
or
y = -8
Answer above!
1 pint=how many cups
Answer:
2
Step-by-step explanation:
.
Which of the following describes the image of a triangle after a dilation that has a scale factor of 2/3?
A.-Each angle has 2/3 of the measure of its corresponding angle in the pre-image
B.-Each side has the same measure as its corresponding angle in the pre-image.
C.-Each angle has the same measure as its corresponding angle in the pre-image.
D.-Each side has 3/2 the length of its corresponding length in the pre-image.
We want to see which statement describes the image of a triangle after a dilation of scale factor of 2/3.
We will see that the correct option is C:
"Each angle has the same measure as its corresponding angle in the pre-image."
First, if we have a given figure and we apply a dilation of scale factor K, then all the measures of the given figures are affected by that dilation.
So if the 3 sides of the original triangle measured A, B, and C.
The new measures will be:
C' = k*CB' = k*BA' = k*ANotice that because all the sides changed proportionally, then the internal angles produced did not change after the dilation.
From this, we can conclude that the only correct option is C:
"Each angle has the same measure as its corresponding angle in the pre-image."
This says that the angles of the dilated triangle are the same ones as the angles of the initial triangle, which is true.
If you want to learn more, you can read:
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j = u-k/y solve for u
Answer:
u = j+k/y
Step-by-step explanation:
Solve for u by simplifying both sides of the equation, then isolating the variable.
Part 1: Celebration! PLZ help 90 points
You and three friends will be going out to eat at your favorite restaurant!
Each of you will order three items of your choice. You will also need to leave a tip. If you split the bill evenly among all four of you, how much will each person need to contribute?
Locate a menu for your favorite restaurant and pick three items for yourself and each friend. Make sure all or some of the items differ for each person.
List the restaurant name, items, and prices in a table like the one below.
In the column labeled Subtotal, determine the cost of each person’s order.
The customary tip is 20% of the total bill. In the column labeled Tip, calculate the amount of tip each person should leave.
In the column labeled Total Bill, determine the total of each person’s order, including the tip.
Restaurant name:
Names Item 1 Price Item 2 Price Item 3 Price Subtotal Tip Total Bill
Your name
Friend #1
Friend #2
Friend #3
Part 2: Questions
Answer the following questions, showing all work:
What is the total cost of the entire bill (all four meals), including tip?
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.
Answer:
Texas road house
15 dollars
Step-by-step explanation:
The manager of the commercial mortgage department of a large bank has collected data during the past two years concerning the number of commercial mortgages approved per week. The results from these two years (104 weeks) are shown to the right.
The expected number of mortgages approved per week and the standard deviation of the distribution are 2.019 and 0.024 respectively.
The expected number of mortgages approved per week :
Mean = (Σfx ÷ Σf)Expected Number approved = 210 ÷ 104 = 2.019
Hence, it is expected that 2.019 mortageahes would be approved per week.
The standard deviation :
Variance = [Σ(Xi - x)² ÷ Σf] Standard deviation = √VarianceVariance = (59.5414 ÷ 104) = 0.0005698
Standard deviation = √0.0005698
Standard deviation = 0.024
Therefore, the expected value and standard deviation are 2.019 and 0.024 respectively.
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Can someone pleas help me with this
Evaluate the expression when x= -7. x²+ 4x-3
Which of the following is equivalent to this expression?-3x(-y+4)
-12x-3xy
-12x+3xy
12x+3xy
12x-3xy
-12x-3xy
-12x+3xy
12x+3xy
12x-3xy
Answer:
The answer is A
Step-by-step explanation:
Hope it helps!
1 basic algebreh im sloe hlp me
Answer:
-11
Step-by-step explanation:
it just is ok im smart
Answer:
-11
Step-by-step explanation:
bc yes