Answer:
The value of x = 24.4 units.
Step-by-step explanation:
Given
a = 14b = 20c = xFor a right-angled triangle with sides a and b, the hypotenuse c is defined as
[tex]c=\sqrt{a^2+b^2}[/tex]
substituting c = x, a = 14 and b = 20
[tex]c=\sqrt{14^2+20^2}[/tex]
[tex]c=2\sqrt{149}[/tex]
[tex]c = 24.4[/tex] units
Therefore, the value of x = 24.4 units.
What is the value of x in the solution to this system of equations?
solve the question below
Answer:1212.08 ft
Step-by-step explanation:
Given
Height of Della=5.5 ft
Height of Tower H=1450
angle of elevation [tex]50^{\circ}[/tex]
Effective height of building for Della=1450-5.5=144.5 ft
From the figure we can write
[tex]\tan 50^{\circ}=\dfrac{1444.5}{x}\\x=\dfrac{1444.5}{\tan 50^{\circ}}\\x=1212.079\approx 1212.08\ ft[/tex]
500,000+8,000+300+60+4 in number form
Answer:
508,364
Step-by-step explanation:
just add them together :)
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Learning Task 2: Solve each proportion. Write your answer in your notebook
=
1) 5/12 = 35/n
2) n/52 = 180/ 120
3) 18/n = 21/28
4) n/4 = 24/6
5) 10/16 = n/56
11
PIVOT 4A CALABARZON Math G6
Answer:
1) [tex]n = 84[/tex]
2) [tex]n = 78[/tex]
3) [tex]n = 24[/tex]
4) [tex]n = 16[/tex]
5) [tex]n = 35[/tex]
Step-by-step explanation:
To solve each proportion, we apply cross multiplication.
Question 1:
[tex]\frac{5}{12} = \frac{35}{n}[/tex]
[tex]5n = 35*12[/tex]
Simplifying both sides by 5
[tex]n = 7*12 = 84[/tex]
Question 2:
[tex]\frac{n}{52} = \frac{180}{120}[/tex]
[tex]120n = 52*180[/tex]
Simplifying both sides by 20
[tex]6n = 52*9[/tex]
Simplifying by 3
[tex]2n = 52*3[/tex]
Simplifying by 2
[tex]n = 26*3 = 78[/tex]
Question 3:
[tex]\frac{18}{n} = \frac{21}{28}[/tex]
[tex]21n = 18*28[/tex]
Simplifying both sides by 7
[tex]3n = 18*4[/tex]
Simplifying both sides by 3
[tex]n = 6*4 = 24[/tex]
Question 4:
[tex]\frac{n}{4} = \frac{24}{6}[/tex]
[tex]\frac{n}{4} = 4[/tex]
[tex]n = 16[/tex]
Question 5:
[tex]\frac{10}{16} = \frac{n}{56}[/tex]
[tex]16n = 56*10[/tex]
Simplifying by 2, both sides
[tex]8n = 56*5[/tex]
Simplifying by 8, both sides
[tex]n = 7*5 = 35[/tex]
The given expressions can be evaluated by using the arithmetic operations in order to find the value of 'n' in each case.
1) 5/12 = 35/n
Cross multiply in the above expression.
5n = 35 [tex]\times[/tex] 12
Further, simplify the above expression.
n = 84
2) n/52 = 180/120
Cross multiply in the above expression.
180n = 120 [tex]\times[/tex] 52
180n = 6240
Divide 180 by 6240 in the above expression.
n = 34.67
3) 18/n = 21/28
Cross multiply in the above expression.
18 [tex]\times[/tex] 28 = 21n
504 = 21n
Divide 504 by 21 in the above expression.
n = 24
4) n/4 = 24/6
Cross multiply in the above expression.
6n = 24 [tex]\times[/tex] 4
6n = 96
Divide 96 by 6 in the above expression.
n = 16
5) 10/16 = n/56
Cross multiply in the above expression.
10 [tex]\times[/tex] 56 = 16n
560 = 16n
Divide 560 by 16 in the above expression.
n = 35
For more information, refer to the link given below:
https://brainly.com/question/13101306
HELP ME PLS! Word Document.
What is 58% of 18?
Have to show your work!
Answer:
10.44
Step-by-step explanation:
To find 58% of 18, multiply 18 by 0.58
18(0.58)
= 10.44
So, 10.44 is 58% of 18
A $450 washing machine is on sale for 15% off.
What is the discount?
What is the sale price?
What is the total price including the 7% sales tax
need help before next semester
Answer:
15/100 * 450 = 67.5 (discount)
450 - 67.5 = 382.5 (sale price)
7/100 * 382.5 = 26.775 (7% tax)
26.775 + 382.5 = 409.275 (final price)
Step-by-step explanation:
Which is the graph of the given function?
F(t)=4sin(3t)
Answer:
It's D or A
Step-by-step explanation:
What is the solution to the linear equation?
2/5+p=4/5+3/5p
Answer:
p=1
Step-by-step explanation:
Rearrange terms
Combine multiplied terms into a single fraction
Subtract 2/5 from both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
sorry if its wrong
PLEASE ANSWER ASAP!! Simplify the expression (1/x^2 + 2/y)/(5/x - 6/y^2)
Answer:
y(y+2x²
------------
x (5y²-6x
Step-by-step explanation:
The expression obtained after simplification is written below.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
The expression is
[tex]\rm \dfrac{ \dfrac{1}{x^2} + \dfrac{2}{y}}{\dfrac{5}{x} - \dfrac{6}{y^2}}[/tex]
On simplifying by taking LCM
[tex]\rm = \dfrac{ \dfrac{ y +2x^2} {x^2y}}{\dfrac{5y^2 - yx}{xy^2}}[/tex]
[tex]\rm = \dfrac{ y ( y +2x^2)}{x ( 5y^2 - yx)}[/tex]
To know more about Expression
https://brainly.com/question/14083225
#SPJ5
please answer for branliest quick
Answer:
18 square units :)
Answer:
18
ummmmmm so yea
For what value of x do the two ratios suggest a proportional relationship?
14 to 4; x to 52
Choose the correct answer below.
A. 182
B. 13
C. 208
D. 56
A ferris wheel can accommodate 75 people in 15 minutes. How many people
could ride the ferris wheel in 5 hours? What was that rate per hour?
PLEASE HELP!!!!
Answer:
Step-by-step explanation:
15 minutes = 1/4 hour
Therefore:
75 * 4 = the number of people riding in one hour
Thus:
the # of people riding in 1 hour * 4 = the # of people riding in 4 hours
1,500 people
300 people per hour is the rate
PLEASE HELP! WILL MARK BRAINLIEST!!!!!! The grade student makes an attached varies directly with the amount of time the student spent studying. Suppose a student spends four hours studying make the grade of 65% on a test. what is an equation that relates grade earned on the test G with amount of time spent studying T in hours.
Answer:
plz give me BRAINLIEST answer
Step-by-step explanation:
For this case we observe that the time varies linearly with the obtained qualification.
The equation of the line can be obtained as follows
g-go = m (t-to)
where (go, to) are points that belong to the line.
To form the equation you need two points. These points are
(g1, t1) = (0,0)
(g2, t2) = (6.5.84)
Then, substituting, the equation of the line is
m = (84-0) / (6.5-0) = 84 / 6.5 = 12.923
g-0 = (12,923) * (t-0)
Rewriting.
g = 12.923t
The slope of the line is
m = 12,923
20 - (3 2/3 + 2 1/4 + 2 1/3) = ?
Answer:
20-5 11/12= 9 11/12
Step-by-step explanation:
we do (3 2/3 + 2 1/4+ 2 1/3 )which is
3 8/12. 2 3/12 2 4/12 (common denominator)
then add 3 8/12 and 2 3/12 and 2 1/3 to get 10 1/12 then we get 20- 10 1/12 to get a final answer of 9 11/12
what is 0.83 x 52 can someone show me how to get it
Answer:
= 43.16
Step-by-step explanation:
1. 83 x 52
2. = 4,316
3. There are 2 numbers after the decimal
4. you add the decimal the number of times the decimal is away from the number before
Answer:
43.16
Step-by-step explanation:
Look at the attached image. We multiply 83 and 52. Once we get our answer, we move our decimal point two places to the left (since .83 has its decimal moved two places to the left).
On what interval(s) of x does f have positive concavity?
On what interval(s) of x does f have negative concavity?
Answer:
-5 that oneeksssoossdos
3÷657 using partial products
Answer:
219
Step-by-step explanation:
how do i answer this ?
Answer:
1
for each 2 inches you get 2 feet so its 2 to 2 divide that down and its 1 to 1
Step-by-step explanation:
Multiple choices
Help me to finish this
Answer:
ADCBADBCCAB
Step-by-step explanation:
I need the simplified expression for this please
Answer:
9x-3
Step-by-step explanation:
3(2x-1)+3x
The first thing you would want to do is to distribute 3(2x-1) or in other words to get rid of the parenthesis.
3(2x-1) = 6x-3
The expression so far is : 6x-3+3x
Now you would add like terms which are the 6x and 3x = 9x
Expression now: 9x-3
The final answer is 9x-3.
If you are wondering why this is the answer because you can’t solve an (x) from a number because they are not like terms.
Hope this helps!
Help! Marking Brainliest!
Step-by-step explanation:
By using the Pythagoras' Theorem,
Height of Kite
= √[(50m)² - (35m)²]
= 35.71m.
Answer:
wowwowowowowowowowow
let f(x)=4x+1 and g(x)3x+k find value of k if fog(x)=gof(x)
Answer:
[tex]\huge\boxed{k=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]f(x)=4x+1\\\\g(x)=3x+k\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)=4(3x+k)+1=(4)(3x)+(4)(k)+1=12x+4k+1\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)=3(4x+1)+k=(3)(4x)+(3)(1)+k=12x+3+k\\\\(f\circ g)(x)=(g\circ f)(x)\iff12x+4k+1=12x+3+k\qquad|\text{cancel}\ 12x\\\\4k+1=3+k\qquad|\text{subtract 1 from both sides}\\\\4k=2+k\qquad|\text{subtract}\ k\ \text{from both sides}\\\\3k=2\qquad|\text{divide both sides by 3}\\\\k=\dfrac{2}{3}[/tex]
Determine whether each quadrilateral is a parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)
Answer:
Yes! The given quadrilateral represents Parallelogram.
Reason: The given quadrilateral has opposite angles congruent.
Step-by-step explanation:
Given the quadrilateral with the angles
118°62°62°118°We know that the sum of the angles of a quadrilateral is 360.
so
118°+62°+118°+62° = 360°
Thus, the given figure is indeed a quadrilateral.
Now in order to determine whether the given quadrilateral is a parallelogram or not, we need to check whether the opposite angles are congruent or not.
If the angles opposite of each other will have the same measurement, then the quadrilateral will represent Parallelogram.
It is clear that the given quadrilateral has two pairs of equal opposite angles.
i.e. The angle 118° has the same opposite angle 118° and the angle 62° has the same opposite angle 62°.
Therefore, the given quadrilateral represents Parallelogram.
Hence,
Yes! the given quadrilateral represents Parallelogram.
Reason: The given quadrilateral has opposite angles congruent.
Evaluate 2xcubed if x= 3/4
9514 1404 393
Answer:
27/32
Step-by-step explanation:
2x³ for x = 3/4 is ...
2(3/4)³ = 2·3³/4³ = 2·27/64 = 27/32
In a class of 125 students, 28 are computer science majors, 52 are mechanical engineering majors, 12 are civil engineers and the rest are general engineering majors. Assume students only have one major. If a student is chosen at random what is the probability they are:
Answer:
The probability none mechanical engineering majors is 0.03967.
Step-by-step explanation:
Given that,
Total students = 125
Number of students in computer science = 28
Number of students in mechanical engineering = 52
Number of students in civil engineering= 12
Suppose six students from the class are chosen at random what is the probability none are mechanical engineering majors?
We need to calculate the probability none are mechanical engineering majors
Using given data
None mechanical engineering majors = [tex]\dfrac{125-52}{125}=0.584[/tex]
If six students from the class are chosen at random then
The probability none are mechanical engineering majors will be
[tex]P_{nme}=(0.584)^6[/tex]
[tex]P_{nme}=0.03967[/tex]
Hence, The probability none mechanical engineering majors is 0.03967.
Can anyone help me with this
Answer:
B: 10n⁵ + 11n³ - 6
Step-by-step explanation:
(-3 + 3n⁵ + 6n³) + (7n⁵ + 5n³ - 3)
To add the variables, you can only combine the variables with the same degree.
Because you are adding the polynomials, you can remove the parentheses.
-3 + 3n⁵ + 6n³ + 7n⁵ + 5n³ - 3
Now you can combine the variables that are raised to the same degree.
(-3 - 3) + (3n⁵ + 7n⁵) + (6n³ + 5n³)
Now simplify within the parentheses.
(-6) + (10n⁵) + (11n³)
Now reorder the variables from greatest to least degree.
10n⁵ + 11n³ - 6
A hotdog stand sells hot dogs for 2.75 each and drinks for $1.50 each. Each person in a group of n people bought two hot dogs and one drink. Which equation gives y, the total cost in dollars
Answer:
The total cost in dollars, y = $7n.
Step-by-step explanation:
a) Data and Calculations:
Price of hot dogs = $2,75 each
Price of drinks = $1.50 each
Cost of hot dogs bought by one person = 2*2.75 = 5.5
Cost of drinks bought by one person = 1.50
Number of people in a group = n
y = total cost in dollars
y= n($5.5 + 1.50)
y = n * $7
y = $7n
b) Each person's purchase of hot dogs will cost $5.5 (2*2.75). When the cost of hot dogs per person is added to the cost of drinks per person, we have $7 ($5.50 + 1.50). This implies each person will consume hot dogs and drinks worth $7. The total cost will then be $7 multiplied by n, the number of people ($7n).
Mand Shane both started to work on a math problem and were comparing their work in math class. Are both of the representations correct? Explain, and finish the math problem correctly to Prive at the correct answer. METOD are Jesska's friend lent herss. tathm dydavau friend back 1 dollars Which rational number repre amb the worse change tothe amount of money esterende? Mariah started the problem as follows Shane barted the problem as followers -13) --5+1- .
Answer:
13
Step-by-step explanation:
Can somebody please help me with this question
Answer:
number 2
Step-by-step explanation:
A cougar did not attack to the victim.ibthinj this is answer
Write a multiplication expression that has the value -3/4
Answer:
-3/4 x 1
Step-by-step explanation:
anything times 1 is itself