Sam is framing a closet under a stairway. The stairway is 20 ft 6 in. long, and its angle of elevation is 31º. Find the depth of the closet to the nearest inch.
Answer:
The depth is 127 inches.
Step-by-step explanation:
The stairway and its depth can be compared to a right angled triangle. Let the depth be represented by d.
But,
12 inches = 1 foot
20 ft 6 in = 20 + \((\frac{6}{12} )\)
= 20.5 feet
So that applying the appropriate trigonometric function, we have;
Sin θ = \(\frac{opposite}{hypotenuse}\)
Sin 31º = \(\frac{d}{20.5}\)
d = 20.5 x Sin 31º
= 20.5 x 0.5150
d = 10.5575
d ≅ 11 feet
Therefore,
d = 10.5575 feet = (10.5575 x 12) inches
= 126.69 inches
The depth is 127 inches.
A discounted amusement park ticket costs $44 dollars, which is $12.95 less
than the original price p. Write and solve an equation to find the original
price.
Answer:
p-(p*.2274)
Step-by-step explanation:
P is the original price
P multiplied by .2274 gives the discount that's taken off
So the answer is P minus the discounted sum
Solve the system by graphing. Solve for y. Show all work.
-5x+y=-2
-3x+6y=-12
Step by step please
Let u =(3,4). What is 3u?
(6,7)
(6,12)
(9,7)
(9,12)
The value of 3u is (9, 12).
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given:
u= (3, 4)
Now, we have to find 3u for which we have to multiply each coordinate by 3 as
x- coordinate : 3 x 3= 9
and, y- coordinate : 4 x 3= 12
So, 3u = 3(3, 4) = (9, 12)
Hence, the value of 3u is (9, 12).
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Does the table below represent a linear function
X Y
1 2
4 5
7 6
10 10
O yes
Ο Νo
helllppp meee please
Answer:
2, 3, 6, 7
Step-by-step explanation:
Write the equation of the circle graphed below.
please help quick i’ll give points and brainliest
Answer:
1.5y-2x=1
Step-by-step explanation:
Find the coordinates of the center of the circle (1,2),and pick any point on the circle whose coordinates do not correspond with the center's and the do the normal equation for finding equations of lines
write an equation that you can use to slove for x enter your answer in the box
The value of angle x is 133 degree
And the equation of line be of the form,
⇒ y - y₁ = 133(x - x₁)
In the given line,
one angle is of 47 degree
And other is x degree
To find the value of x,
Since we know that,
The angle of line is 180 degree.
Therefore,
⇒ x + 47 = 180
⇒ x = 133 degree
Therefore slope of this line be 133 degree
Now let this line is passing through (x₁, y₁)
Hence,
The equation of line be,
⇒ y - y₁ = (slope)(x - x₁)
⇒ y - y₁ = 133(x - x₁)
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If the speed of sound is 344 meters per second, what is the approximate speed of sound, in meters per hour?
60 seconds 1 minute
60 minutes
1 hour
1) 20,640
2) 41,280
3) 123,840
4) 1,238,400
if ax-cd=a wat is x .......
Answer:
Option A:\( \frac{a + cd}{a} \)
Step-by-step explanation:
ax - cd = a
=> ax = a + cd
\( = > x = \frac{a + cd}{a} \)
Hence,
Option A is the answer.
Answer:
A. \(\frac{a+cd}{a}\)
Step-by-step explanation:
ax-cd=a
Add cd to both sides:
ax=a+cd
Divide both sides by a:
x=\(\frac{a+cd}{a}\)
Translating english expressions to mathematical expressions
Identify the following as either expression or sentence
1. 8x + 18
2. 2 < 5
3. The set {}
4. 36 degrees
5. x = 3x - 5
The following area tagged expression or sentence as;
1. Expression
2. Expression
3. Sentence
4. Sentence
5. Expression
What are algebraic expressions?Algebraic expressions are described as expressions that are composed of variables, terms, coefficients, factors and constants.
These expressions are also identified with various mathematical or arithmetic operations, such as;
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a diver dove to a location 6 3/5 meters below sea level. He then dove to a second location 8 1/5 meters below sea level. How many meters are there between the two locations?
Answer:
\(1\frac{3}{5}\) meter is the difference in depths of locations diver dove.
Step-by-step explanation:
A single fair die is tossed. Find the odds in favor of rolling a number greater than 5
What are the odds in favor of rolling a number greater than 5?
Please help
Answer:
\(1 : 5\ or\ \frac{1}5\)
Step-by-step explanation:
Given that:
A single fair die is tossed.
First of all, let us learn about a fair die.
A fair die is a 6 sided die numbered from 1, 2, 3, to 6 and each side has an equal probability of occurring OR we can say each side is equally likely to occur.
So, probability of rolling a number greater than 5 has only one possible outcome i.e. 6.
And total number of outcomes are 6.
So, probability of rolling a number greater than 5 = \(\frac{1}{6}\)
Probability of not rolling a number greater than 5 = \(\frac{5}{6}\)
Odds in favor of rolling a number greater than 5 = Probability of rolling a number greater than 5 : Probability of not rolling a number greater than 5
\(\dfrac{1}{6} :\dfrac{5}{6} = \bold{1:5}\ or\ \bold{\dfrac{1}{5}}\)
Using the probability concept, the odds of rolling a number greater than 5 is 1 :5
The odd of a particular experiment is defined thus :
Number of possible outcomes greater than 5 : number of possible below or equal to 5
Sample space = {1, 2, 3, 4, 5, 6}
Outcomes greater than 5 = {6} = 1
Outcomes below or equal to 5 = {1, 2, 3, 4, 5} = 5
The odds equals to 1 : 5
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Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.
find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
What is the greatest value? *
Summarize Data
Use the number of text messages Henry sent each day: 6, 12, 2, 6, 3, 4, 2, 5, 6.
Your answer
Answer:
12
Step-by-step explanation:
Woah that's a lot of points! Well in the list 12 is the largest! I think it may be wrong because it's pretty simple but yeah!
A high school drama club is performing a musical to benefit a local charity. Tickets are $5. They also receive donations of $565. They want to raise at least $1500. How many tickets do they need to sell? Define a variable. Write an inequality.
In linear equation, 187 tickets do they need to sell.
What is a linear equation ?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." This is the basis for its designation as a "linear equation."
The drama club wants to raise at least $1500. They have already received donations of $565 so the amount left till target is:
= 1500 - 565
= $935
Tickets are being sold at $5 so the number of tickets needed to get to $935 is
= 935/5
= 187 tickets
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pls give simple working out
x is 146 degrees
This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees
180 - 34 = 146
Answer: x = 146°
Step-by-step explanation:
Given that y = 35°, Using linear pair
x+y = 180
x+35=180(Substitute value of y)
x=180-35(Transposition Method)
x=145°
Answer choices:
O JI is an altitude of AHJI
O GJ is an altitude of AGJH
O GI is an altitude of AGJI
O JH is an altitude of AGJI
Answer:
to be real it looks like c
Step-by-step explanation:
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
simplify pls do fast
The sum of the decimal values given is 0.93
Simplifying the decimal values can be done thus :
0.36 + 0.57Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .
0.36*100 = 36
0.57*100 = 57
Adding the whole numbers :
__36
+_57
_____
__93
Dividing the sum by 100 to convert to an equivalent decimal value,
93/100 = 0.93Therefore, the required value is 0.93
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-22 + (-10) + 15 I don’t know how to solve this problem
The answer is - 17
here, we have to apply BODMAS rule
given ,- 22 + (10) = 15
= - 22 - 10 + 15
= -32 + 15
= - 17
BODMAS is an acronym for the sequence of operations to be performed while simplifying the mathematical expressions.
B=Brackets
O=Off
D=Division
M=Multiplication
A=Addition
S=Subtraction
Achilles is a mathematician who invented BODMAS. It is a mnemonic that helps us remember how to evaluate mathematical operators in a mathematical statement involving more than one mathematical operation.The four basic Mathematical rules are addition, subtraction, multiplication, and division.
Basic math skills are those that involve making calculations of amounts, sizes or other measurements. Core concepts like addition, subtraction, multiplication and division provide a foundation for learning and using more advanced math concepts.
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Notes/Examples 1. A triangular garden has sides measuring 14 feet, 17 feet, and 28 feet. If Cody is laying a brick border around the garden, how many feet of brick will he lay?
Answer is 59 feet.
Given:
Sides of the triangle are 14 ft, 17 ft and 28 ft.
The objective is to find the total feet of bricks required to cover the border around the garden.
Here, the border around the garden resembles the perimeter of the garden.
So, the perimeter of the triangular garden can be calculated as,
\(\begin{gathered} P=14+17+28 \\ =59\text{ ft} \end{gathered}\)Hence, the total feet of bricks required to cover the border around the garden is 59 feet.
Find the surface area of the box shown
the number greater that 714,587
Answer:
714
Step-by-step explanation:
587,714 they arrange in orderly form
A number greater than 714,587 is 714,588
How to determine the number greater than 714,587?The complete question is added as an attachment
From the attached figure, we have:
Passengers = 714,587
Numbers greater than 714,587 would have a value greater than 714,587
This is represented as:
x > 714,587
The above inequality represents numbers greater than 714,587
An example of such number is 714,588
Hence, a number greater than 714,587 is 714,588
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Which number sentence states that x is at most 50?
A. x < 50
B. * < 50
C. x = 50
D. x > 50
E. x > 50
If the radius is 21 cm and the angle at
center of circle is 140° then the length of
the arc is ?
Step-by-step explanation:
Given: Radius , r =21 cm
The angle at the center of the circle, n° =140°
Length of an arc =?
W.K.T Formula, Length of an arc = 2πr( n°÷360°) units
= 2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Answer:
2*(22/7)*21*(140°/360°)
= 154/3
= 51.33cm
Step-by-step explanation:
Multiply
Which one ??? Please help
Answer:
The 3rd one again
Step-by-step explanation:
(a+−2)(8\(a^{2}\)+−5a+3)
=(a)(8\(a^{2}\))+(a)(−5a)+(a)(3)+(−2)(8\(a^{2}\))+(−2)(−5a)+(−2)(3)
=8\(a^{3}\)−5\(a^{2}\)+3a−16\(a^{2}\)+10a−6
=8\(a^{3}\)−21\(a^{2}\)+13a−6
hope this helped:)
A cone has a height of 5 inches and a radius of 4 inches. What is its volume?
Use a ~ 3.14 and round your answer to the nearest hundredth.
9514 1400 393
Answer:
83.73 in³
Step-by-step explanation:
It is appropriate to use the formula for the volume of a cone:
V = (1/3)πr²h
V = (1/3)(3.14)(4 in)²(5 in) ≈ 83.73 in³
The volume of the cone is about 83.73 in³.
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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