The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees
Angle of elevation and depressionFrom the question given, we have the following parameters
Base of the building = 7feet
Height of the building = 18 feet
Required
angle of elevation
Using the SOH CAH TOA identity
tanФ = opp/adj
tanФ = 18/7
Ф = 68.73 degrees
Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees
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Question:
A ladder leans against a building. The top of the ladder reaches a point on the building, which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle of elevation from the ground to the top of the ladder.
Give me the hardest math equation you know and solve it
(Beware, if you joke and waste the points, I will not be very happy!)
1B + 26M - 26K
Answer That!! Hehehehe
23 4 Which expression is equivalent to (- 2 1/4)/(- 2/3) ?
The equivalent expression is: .[tex]3\frac{3}{8}[/tex]
What is expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division)
Given:
(- 2 1/4)/(- 2/3)
=-9/4÷ (-2/3)
= -9/4 * (-3/2)
= 27/8
= [tex]3\frac{3}{8}[/tex]
Hence, the equivalent fraction is [tex]3\frac{3}{8}[/tex].
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round 68.321 to the nearest tenth
Answer:
When 68.321 rounded to the nearest tenth the result is 68
HELP ME!!! FIND X AND Y. PLEASE GIVE ME AN EXPLANATION TO YOUR ANSWER AS WELL.
The linear equation will be 6x + y = 180 and 3x = y. Then the value of the variable x and y will be 20° and 60°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
3x° + 3x° + y° = 180° (Supplementary angle)
6x° + y° = 180° .....1
3x° = y° .....2 (Vertically opposite angle)
By solving equations 1 and 2, we have
x° = 20° and y° = 60°
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Look at pictures attached for question and answer choices
The answers are a rhombus, bisect a pair of opposite angles, and SAS congruency postulate respectively.
What is a rhombus?A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.
We have a rhombus shown in the picture.
The intersection point is P
From the definition of the rhombus: JK ≅ KM
According to the SAS congruency postulate, two triangles are congruent if a triangle has two sides and an included angle that are congruent to the two sides and an included angle of another triangle.
Thus, the answers are a rhombus, bisect a pair of opposite angles, and SAS congruency postulate respectively.
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Directions: Read, analyze, and choose the letter of the correct answer. Write your
answer in your notebook.
1. A comfortable ambient temperature is called room temperature. Approximately,
how hot or cold is it?
A. 20 OC B. 20 OF C. 40 OC D. 40 OF
2. Convert: 5da = _______hr
A. 300 B. 240 C. 120 D. 60
3. Pasig river can discharge a maximum of 56 m3 per second of water. How many
liters per second can it discaharge?
A. 56 B. 560 C. 5 600 D. 56 000
4. A snail moves at a constant rate of 25 cm per minute. At this rate, how many
hours will it take the snail to crawl 75 m?
A. 3 B. 4 C. 5 D. 6
5. The human body can normally endure a temperature of 105 0F but for a short
period of time only, otherwise, there will be permanent damage to the brain and
vital organs. What is the equivalent temperature in 0C?
A. 37 B. 37.5 C. 40.56 D. 45.56
1) The normal room temperature is said to be about 20°C
2) 5 day is equivalent to 120 hr
3) 756 m³/s is equivalent 56000 L/s
4) It would take the snail 5 hours to crawl 75 m
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1) The normal room temperature is said to be about 20°C
2) 1 day = 24 hr
5 day = 5 day * 24 hr per day = 120 hr
3) 1 m³ = 1000 L
756 m³/s = 56 m³/s * 1000 L/m³ = 56000 L/s
4) 1 m = 100 cm
75 m = 7500 cm
Time = 7500 / (25 cm/min) = 300 min = 5 hours
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Type the correct answer in each box. Use numerals instead of words. Function g is a transformation of function f. Graph shows 2 exponential functions. First curve f enters quadrant 3 at (minus 6, minus 2) rises through (0, minus 1) and (1, 0) and (2, 2) in quadrant 1. Second curve g enters quadrant 2 at (minus 6, 6) falls through (0, 3) and (1, 0) in quadrant 1. What is the equation of function g? g(x) = f(x)
An equation is formed of two equal expressions. The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given graph is the graph of an exponential function, the general equation of an exponential function is given by the y=aeᵇˣ. To get the function f(x) and g(x), you need to substitute the points in the given function and produce the equation of each function.
The equation for f(x) from the given graph can be written as,
[tex]f(x)=e^{(\ln2)x}-2[/tex]
Now, similarly from the graph the function of g(x) can be written as,
[tex]g(x)=-3e^{(\ln2)x}+6[/tex]
Further, the equation of function g(x) in terms of f(x) can be written as,
g(x) = -3[f(x)]
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Step-by-step explanation: I got it right!
solve X/3 + 5/2 = -3/2 pls pls
Answer:
X=-12
Step-by-step explanation:
Subtract -5/2 on both sides:
X/3+5/2-5/2=-3/2-5/2
X/3=-8/2
X/3=-4
Multiply both sides by 3:
X/3*3=-4*3
X=-12
Answer:
x = -12
Step-by-step explanation:
To solve for x, we always want to isolate x {isolate = getting it by itself}
So, for the equation: X/3 + 5/2 = -3/2
we should first get x on its own side:
[tex]\frac{x}{3}+\frac{5}{2}=-\frac{3}{2}[/tex]
[tex]-\frac{5}{2}[/tex] [tex]-\frac{5}{2}[/tex] {subtract 5/2 from both sides} {-3/2 - 5/2 = -8/2}
[tex]\frac{x}{3} = -4[/tex]
×3 ×3 {multiply both sides by 3 to find "1"x}
x = -12
check:
-12/3 + 5/2 = -3/2
-4 + 5/2 = -3/2
(5/2 = 2 [tex]\frac{1}{2}[/tex] ; 2 [tex]\frac{1}{2}[/tex] - 4 = -1 [tex]\frac{1}{2}[/tex])
-1 [tex]\frac{1}{2}[/tex] = -3/2 {3/2 = 1 [tex]\frac{1}{2}[/tex]}
-1 [tex]\frac{1}{2}[/tex] = -1 [tex]\frac{1}{2}[/tex]
{TRUE}
so, x = -12
hope this helps!!
A sample of 40 11th graders were asked to select a favorite pattern out of 6
choices. the following display shows what their favorite color patterns were.
the counts have been recorded in the accompanying table according to
pattern and the number of students who selected that pattern. what is the
missing value in the table?
color pattern
frequency
blue on gray
4
green
6
pink polka dots
?
purple
8
red and orange
stripes
7
yellow
3
the answer is 12
Step-by-step explanation:
Explain please .................
Answer:
See below
Step-by-step explanation:
cos 2pi/3 = -1/2
sin 2pi/3 = sqrt (3)/2
cos 1 pi/6 = sqrt(3)/2
sin 11 pi/6 = - 1/2
so when you put in these values in you will have :
(2*8) * (-1/2 + sqrt (3)/2 i )( sqrt(3)/2) + i (-1/2) )
= 16 ( - sqrt (3)4 + 1/4 i + 3/4 i - sqrt(3)/4 i^2 ) rememember i^2 = - 1
= 16 ( 1/4 i + 3/4 i )
= 16 i
find the value of x
a) 5
b) 35
c) 3
d) 7
Answer:
x=3
Step-by-step explanation:
due to its same angle of the graphic. it has to be +6 as well
23-29-35
35=11.×+2
35-2=33
33=11.×
x=3
Which of the following is the solution to 3I x-1 I≥ 12?
A. x≤ -3 or x≥ 5
B. x≤ -3 and x≥ 5
C. x≥ 5
D. x≥ -3 or x≥ 5
The solution for the given inequality will be x≤ -3 or x≥ 5. Thus, the correct option is B.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
For the given inequality the solution can be found as,
When the value of x is negative,3|x-1| ≥ 12
x-1 ≥ 4
x ≥ 5
When the value of x is positive,3|x-1| ≥ 12
- x + 1 ≥ 4
-x ≥ 3
x ≤ -3
Hence, the solution for the given inequality will be x≤ -3 or x≥ 5. Thus, the correct option is B.
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m²æ + m²æ² - 6m²a 2
Answer:
m2ae+hs72;(27£+£73-££:£7£Select all the correct answers.
Which expressions are equal to
Given the data from the question, the expressions that are equal to 10⁵ are
10³ ⋅ 10²10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10To determine the expressions that are equal to 10⁵, we shall evaluate the options given from the question.
How to evaluate (10⁴)¹Recall
(Aᵐ)ⁿ = Aᵐⁿ
Thus,
(10⁴)¹ = 10⁴
How toevaluate 10³ ⋅ 10²Recall
Aᵐ ⋅ Aⁿ = Aᵐ⁺ⁿ
Thus,
10³ ⋅ 10² = 10³⁺²
10³ ⋅ 10² = 10⁵
How to evaluate 1 / 10⁵Recall
1 / Aᵐ = A⁻ᵐ
Thus,
1 / 10⁵ = 10⁻⁵
How to evaluate (10³)²Recall
(Aᵐ)ⁿ = Aᵐⁿ
Thus,
(10³)² = 10⁶
How to evaluate 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10Recall
Aᵐ ⋅ Aⁿ = Aᵐ⁺ⁿ
10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 = 10¹⁺¹⁺¹⁺¹⁺¹
10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 = 10⁵
SUMMARY
(10⁴)¹ = 10⁴
10³ ⋅ 10² = 10⁵
1 / 10⁵ = 10⁻⁵
(10³)² = 10⁶
10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 = 10⁵
From the above illustrations, only 10³ ⋅ 10² and 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 are equal to 10⁵
Complete question
See attached photo
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Solve for x :
[tex] \sf \: \: \: \: \: \: \: \: \: \: \: 29x + x = 30[/tex]
[tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
[tex] \tiny \sf bluh... \: \: so \: \: boring[/tex]
Answer:
x = 1
Step-by-step explanation:
Step 1: Combine like terms.
[tex](29x + x) = (30)[/tex] [tex]30x=30[/tex]Step 2: Divide both sides by 30.
[tex]30x/30=30/30[/tex] [tex]x=1[/tex]Step 3: Check if solution is correct.
[tex]29(1)+(1)=30[/tex] [tex]29+1=30[/tex] [tex]30=30[/tex]Therefore, x = 1.
Solution: X=1
[tex]\searrow[/tex]
Detailed explanation:
Here we need to solve for x. x is our unknown. It's what we should find.
[tex]\searrow[/tex]
Note right up front that we can add the x's. This is a process that is known as "Combining Like Terms". We can combine them by adding, like here.
[tex]\twoheadrightarrow\sf 29x+x=30[/tex]
"x" is the same as 1x.
[tex]\twoheadrightarrow\sf 30x=30[/tex]
We're getting closer to finding the value of the unknown!
Now we know that if we multiply 30 times the unknown, we will get 30.
What will we get if we multiply 1 times the unknown? 1 is what we will obtain upon dividing by 30.
So our unknown, or x, is 1.
Voila! There's our answer!
Cheers! ^-^_____________________________
Hope I helped! Best wishes.
Reach far. Aim high. Dream big.
_____________________________
Jada is comparing membership costs for two gyms. What is the difference in membership costs after m months if she joins Be strong instead of Zippy Health Club?
Write an expression for each membership cost for m months and subtract them.
Answer: Difference in membership costs after m months = -($24.96m + $34.94)
Step-by-step explanation:
Cost of Zippy health club = $49.95 + $19.95 per month
Cost of Be strong = $24.99 per month and $10 off the first month
Total cost after m months of Zippy health club = $49.95 + $19.95m
Total cost after m months of Be strong = $24.99 (m - 1) + $ 10
Difference in membership costs after m months ={ $24.99m - $24.99 + $10 ]-[$49.95m + $19.95}
=$(24.99 - 49.95) m -$14.99 - $19.95
= -$24.96m - $34.94
=-($24.96m + $34.94)
So Difference in membership costs after m months =-($24.96m + $34.94)
therefore jada have to pay more if she joins Be strong.
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At Total Viewing, the
wholesale price of a 52-inch television is
$1.950. What does it cost to buy the
television if the store's markup is 15%?
Answer:
It would be 2242.5
Step-by-step explanation:
1950X0.15=292.5
292.5+1950=2242.5
PLEASE ANSWER ASAP!!!!!!!!
A Ferris wheel completes 7 revolutions in 14 minutes. The radius of the Ferris wheel is 30 feet.
What is the linear velocity of the Ferris wheel in inches per second?
Enter your answer, rounded to the nearest tenth, in the box.
The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.
What is the speed of an object?The speed of an object is the ratio of the total distance covered by the object and the total time taken by the object to complete that distance.
Here, the radius of the Ferris wheel is (r) = 30 feet.
The circumference of the wheel is
C= 2πr
C= 2 × π × 30 feet
C= 60π feet
Here, the Ferris wheel completes 7 revolutions.
Therefore, it covers the linear distance of
D= 7 × circumference of the wheel
D= 7 × 60π feet
D= 420π feet
Now, the Ferris wheel took 14 minutes to complete 420π feet.
Therefore, the speed of the wheel is
S= (420π/14) feet/minute
S= 30π feet/minute
S= (30π × 12)/60 inches/second
S= 6π inches/second
S= 18.9 inches/second
Therefore the linear velocity of the object will be 18.9 inches/second
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Find the value of y.
Answer:
its 0
Step-by-step explanation:
you just gotta do the math correctly to get the answer. x & y are both values with different meanings. but in this case it's 0
please help me with these or just the first one even ty
Answer:
-3+15-75+375
=12-75+375
=-63+375
=302
n=8
302÷8 = 37
helpppppppppppppppppppppppppppppppppppppppp
Answer:
70
Step-by-step explanation:
Valeria doesnt want any lollipops left over, but identical, so that means you have to add. You can divide the two colors otherwise you get a decimal, which you cant break a lollipop into, or an indefinite letter, a lollipop cant fit in that as well. The only sensible thing is to add them.
Lines CD and DE are tangent to circle A, as shown below:
Lines CD and DE are tangent to circle A and intersect at point D. Arc CE measures 110 degrees. Point B lies on circle A.
If arc CE is 110°, what is the measure of ∠CDE?
55°
70°
100°
Using the outside angle theorem, the measure of angle CDE is: 70°.
How to Apply the Angle of Intersecting Tangents Theorem?According to the angle of intersecting tangents theorem, we would have the following equation using the diagram given:
Angle CDE = ½(measure of arc CBE - measure of arc CE)
Given the following:
Measure of arc CE = 110°Measure of arc CBE = 360 - 110 = 250°Plug in the values into the equation
Angle CDE = ½(250 - 110)
Angle CDE = 70°
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Answer: Angle CDE = 70°
Step-by-step explanation:
(d) Two alarm clocks are set to ring at intervals of 42 minutes and 56 minutes respectively. If the alarm clocks ring together at 0830, at what time will they next ring together again?
Answer:
11:18
Step-by-step explanation:
the lowest common multiple [meaning the nearest possible time these clocks will be ringing at the same time] of 42 and 56 is 168
(56 x 3 = 168 ; 42 x 4 = 168)
So, in 168 minutes, the clock will ring together again.
Now, we need to add 168 minutes to 08:30
(168 can be made up of 2 hours and 48 minutes [120 + 48 = 168])
08:30 + 2 hours = 10:30
10:30 + 48 minutes = 11:18
So, at 11:18, these clocks will ring together again
Help me pls. I need the answer so i can get a good grade and get my math credit
Answer:
D
Step-by-step explanation:
the zero is the value of x where the line crosses the x- axis, that is
zero is x = - 2
Examine the following dot plot.
A dot plot with 1 dot above 5, 1 dot above 10, 1 dot above 20, 2 dots above 30, 5 dots above 40, and 6 dots above 50.
© 2018 StrongMind. Created using GeoGebra.
Which answer correctly describes the shape of the data in the dot plot?
right-skewed
left-skewed
symmetrical
uniform
The data in the plot is Right skewed.
Therefore , Option A is the right answer
What is a Right skewed ?A right skewed distribution means most of the data lies to the right side of the graph's peak.
A dot plot is given and observing the data it can be seen that peak is towards the right side of the graph.
Thus the data in the plot is Right skewed.
Therefore , Option A is the right answer.
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You attend a wedding and are second in line to get a slice of wedding cake. there are 3 slices of vanilla cake, 12 slices of chocolate cake, and 6 slices of red velvet cake left. they are being handed out by a waiter at random. what is the probability that both you and the person in line in front of you get red velvet cake?
Answer:
1/14
Step-by-step explanation:
Let A represent the event First person getting red velvet cake
Let B represent the event Second person getting red velvet cake
P(A) = Total number of Red Velvet Cakes ÷ Total Number of Cakes =
6/21 = 2/7
If the first person gets a red velvet cake, then there are 5 red velvet cakes and 20 total cakes
Therefore P(B|A) = Number of red velvet cakes left ÷ total number of cakes left = 5/20 = 1/4
P(A and B) == probability of both getting red velvet cake P(A∩B) = P(A).P(B|A) = 2/7 × 1/4 = 2/28 = 1/14
You have a coupon for $5 off an oil change. When you arrive at the auto repair
shop, you learn that the store is holding a customer appreciation sale, and all
customers will receive 10% off the cost of the repair. Write a function p (x) that
represents how much you would pay if you use the coupon first, followed by
applying the discount from the repair shop.
The function that represents how much you would pay is:
p(x) = (x - $5)*0.9
How to find the function?
Let's say that the cost of the repair is x.
First, we apply the coupon, so we discount $5 for the cost.
x - $5.
Then we apply another discount of the 10%, this is written as:
(x - $5)*(1 - 10%/100%)
(x - $5)*(1 - 0.1)
(x - $5)*0.9
Then the function that represents how much you would pay is:
p(x) = (x - $5)*0.9
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The total debt that frances carries is $2,355 and she has a total credit limit of $5,000; her partner jeremy has a total debt
of $3,465 and his total credit limit is $8,000.
find frances' debt-to-credit ratio. express this ratio as a decimal. round to the nearest thousandth.
then find jeremy's debt-to-credit ratio. express this ratio as a decimal. round to the nearest thousandth.
who has the higher debt-to-credit ratio? (frances or jeremy)
Jeremy's debt-to-credit ratio is 0.471.
What is debt-to-credit ratio?debt-to-income ratio is the percentage of a consumer's monthly gross income that goes toward paying debts.
Here, Based on the given conditions,
formulate = Total debt / total credit limit
= 2355 / 5000
= 471/1000
Cross out the common factor: 471/1000
Round 471/1000 to the required place:: 0.471
Thus, Jeremy's debt-to-credit ratio is 0.471.
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What is the degree of 069 ?
A. 0
B. 2
C. 3
D. 4
E. none of these
Answer: none
Step-by-step explanation:
Find the slope of the line that goes through (2, 8) and (5, 13).
Answer:
1 (2/3) or 1.66666667
Step-by-step explanation:
The slope of a line is found by using the equation :
y2 - y 1 / x2 - x1
So all we have to do is plug in our values given.
To find which belongs with which variable (such as x2 or y1), we do the following:
We know that the coordinates of a point are represented by (x, y). So we must assign a number to each points number.
(2, 8) will be x1 and y1.
(5, 13) will be x2 and y2
Plug in the values :
13 - 8 = 5
5 - 2 = 3
5 / 3 = 1 (2/3)
So, the slope of the line is 1.66666667 or 1 and (2/3)s