Answers
[tex]\huge\bold{Given:}[/tex]
Length of the base = 8
Length of the hypotenuse = 17
[tex]\huge\bold{To\:find:}[/tex]
The length of the third side ''[tex]x[/tex]".
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\purple{x\:=\: 15}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
Using Pythagoras theorem, we have
(Perpendicular)² + (Base)² = (Hypotenuse)²
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] + (8)² = (17)²
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] + 64 = 289
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] = 289 - 64
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] = 225
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = [tex]\sqrt{225}[/tex]
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = [tex]15[/tex]
Therefore, the length of the missing side [tex]x[/tex] is [tex]15[/tex].
[tex]\huge\bold{To\:verify :}[/tex]
[tex]\longrightarrow{\green{}}[/tex] (15)² + (8)² = (17)²
[tex]\longrightarrow{\green{}}[/tex] 225 + 64 = 289
[tex]\longrightarrow{\green{}}[/tex] 289 = 289
[tex]\longrightarrow{\green{}}[/tex] L.H.S. = R. H. S.
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]
Related Questions
Part 1: Solve for the slope of the line inside of the scatter plot
Answers
Answer:
The slope is equal to 5.
Step-by-step explanation:
Point 1 (0, 5)
Point 2 (3, 20)
m=y2-y1/x2-x1
m=5-20/0-3
m=-15/-3=
m=5
Point V is located at -16. Points W and X are each 7 units away from Point V. Where are W and X located?
Answers
Answer:
Location of W is - 23, location of X is - 9.
Step-by-step explanation:
location of V = - 16
Points W and X are each 7 units away from Point V.
Let the W is at left of V and X is right of V.
location of W = -16 - 7 = - 23
location of X = - 16 + 7 = - 9
Type your answers into the boxes.
Complete the following questions.
4x5-(22 - 2) =
(18= 3) + (32 - 7) =
Answers
Answer:
0 and 40
Step-by-step explanation:
First expression: 4*5 - (22 - 2). We must do work inside parentheses before any other work. This, we have 4*5 - (20), which simplifies to 20 - 20 = 0
Second expression: (18 - 3) + (32 - 7 becomes (15) + 25, or 40.
Which of the following is(are) the solution(s) to 17x+12= 12?
Answers
Answer:
17x+12=12
17x=12-12
17x=0
divide both sides by 17
x=0
rough check
17(0) = 12-12
0=0
I hope this helps
Find the slope 7-12 please
Answers
Jeans are on sale for 20% off the regular price. Which function would give you the total cost for purchasing a pair of jeans that costs x dollars?
Answers
Answer:
0.8X = Final cost
Step-by-step explanation:
Given that jeans are on sale for 20% off the regular price, to determine which function would give you the total cost for purchasing a pair of jeans that costs X dollars, the following calculation must be performed:
1X = Initial cost of the jeans
20% = 0.2
1 - 0.2 = 0.8
0.8X = Final cost
MATH PROBLEM 20 POINTS
Answers
The angles of a square are right angles (90 degrees) so it would be set up as 90=11x-9. Then you would combine like terms and solve.
1. The degree of 5x³+4x²+7x degree of the quadratic Polynomial is
how tell answer crottect I mark as brilliant
Answers
Answer:
3
Step-by-step explanation:
Degree of the polynomial is the highest degree of the polynomial. Here highest degree is 3.
4. Write an equation for the line that is parallel to the given line and that passes
through the given point.
y = 5/2x-10;(-6,-29)
Answers
Answer:
[tex]y=\frac{5}{2}x-14[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope1) Determine the slope (m)
[tex]y=\frac{5}{2}x-10[/tex]
In the given equation, [tex]\frac{5}{2}[/tex] is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of [tex]\frac{5}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{5}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{5}{2}x+b[/tex]
Plug in the given point (-6,-29) and solve for b
[tex]-29=\frac{5}{2}(-6)+b[/tex]
Simplify -6 and 2
[tex]-29=\frac{5}{1}(-3)+b\\-29=(5)}(-3)+b\\-29=-15+b[/tex]
Add 15 to both sides to isolate b
[tex]-29+15=-15+b+15\\-14=b[/tex]
Therefore, the y-intercept is -14. Plug this back into [tex]y=\frac{5}{2}x+b[/tex]:
[tex]y=\frac{5}{2}x-14[/tex]
I hope this helps!
ayudame y tedoy corona y puntaje
Answers
Answer:
i dont get it
Step-by-step explanation:
Ibrahim heeft een bijbaantje op de markt. Hij berekent zijn inkomsten met de formule
inkomsten in €=5+3,50 x tijd in uren. Leg de formule uit.
Answers
Answer:
Ibrahim gets 5 fixed and 3.5 per hour.
Step-by-step explanation:
Ibrahim has a side job at the market. He calculates his income with the formula income in € = 5 + 3.50 x, time in hours. Explain the formula.
Here, the fixed income is 5.
the income per hour is 3.5.
So, Ibrahim gets 5 fixed and 3.5 per hour.
Suppose that a car rental agency charges a fixed amount per day plus an amount per mile for renting a car. Heidi rented a car one day and paid $52 for 180 miles. On another day she rented a car from the same agency and paid $77.50 for 350 miles. Find the linear function f(x) (where x is in miles and f(x) is in dollars) that the agency could use to determine its daily rental charges.
f(x) =
Answers
9514 1404 393
Answer:
f(x) = 0.15x +25
Step-by-step explanation:
We are given two points:
(x, y) = (180, 52) or (350, 77.50)
The slope is given by ...
m = (y2 -y1)/(x2 -x1)
m = (77.50 -52)/(350 -180) = 25.50/170 = 0.15
The y-intercept is given by ...
b = y -mx
b = 52 -0.15×180 = 25
Then the equation for the linear function is ...
f(x) = mx +b
f(x) = 0.15x +25
need help!! Evaluate. - 3x ^ 3 - 4x for x = - 1 . 07 0-1
Answers
Answer:
option A
Step-by-step explanation:
[tex]p(x) = -3x^3 - 4x \\\\p(x = - 1 ) = -3( - 1)^3 - 4( - 1 )[/tex]
[tex]= -3(-1) + 4 \\\\= 3 + 4 \\\\= 7[/tex]
Answer:
7Step-by-step explanation:
[tex] - {3x}^{3} - 4x[/tex]
[When x = -1 then]
[tex] = - {3( - 1)}^{3} - 4( - 1)[/tex]
= - 3 × (-1) - 4 × (-1)
= 3 + 4
= 7 (Ans)
what is the sum factor of 3600
Answers
Answer:
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
Find the prime factorization of the number 3,600. Factor Tree.
2|3,600.
2|1,800.
2|900.
2|450
5|225
5|45
3|9
3|3
|1
Setup the equation for determining the number of factors or divisors.
3600=2x2x2x2x3x3x5
Sum factors=2+2+2+2+2+3+3+5=24
A homeowners’ association charges a $3.85 fee for each day your payment is late. If a bill was originally $98.75 and paid 13 days late, then how much is owed to the homeowners’ association?
Answers
Answer:
$148.80
Step-by-step explanation:
Find how much was charged extra with the late fee. Multiply 13 by 3.85:
13(3.85)
= 50.05
Add this to the original amount of the bill:
98.75 + 50.05
= 148.8
So, the amount owed is $148.80
Determine the value of y.
1)
46°
2)
226°
3)
132°
4)
452°
Answers
Answer:
y = 46
Step-by-step explanation:
Angle Formed by Two Tangents= 1/2(difference of Intercepted Arcs)
We can find the other arc by the total arc of a circle minus the arc length 226
y = 1/2 ( 226 - ( 360 -226))
y = 1/2 ( 226 -134)
y = 1/2 (92)
y = 46
There are 3600 second in 1 hour how many second are there in 24 hour
Answers
Step-by-step explanation:
hear is your answer please
There are 24 chairs in a room numbered 1 through 24. If nine girls and 15 boys sit on these chairs at random, what is the probability that the thirteenth chair is occupied by a boy?
Answers
Answer:
[tex]5/8[/tex]
Step-by-step explanation:
Since all the people sit on the chairs at random, the probability of a certain chair being occupied by a boy is equal to the probability of randomly picking a boy from the class. Since there are 24 people total and 15 of them are boys, there is a [tex]\frac{15}{24}=\boxed{\frac{5}{8}}[/tex] chance that the thirteenth chair is occupied by a boy.
A florist shop represents its first month’s sales with the equation y = 168 x + 8, where x represents the number of days that the shop is open and y represents the sales in dollars. The owner of the shop would like to calculate the number of days it took to reach $3,200 in sales. Which would be used to solve the problem?
Substitute 3,200 for x.
Add 8 and 3,200.
Divide 3,192 by 168.
Isolate y in the equation.
Answers
Answer:
Divide 3,192 by 168.
Step-by-step explanation:
Given
[tex]y = 168x + 8[/tex]
[tex]y = 3200[/tex]
Required
Step to required to get x when [tex]y = 3200[/tex]
The first step is to substitute [tex]3200[/tex] for [tex]y[/tex]
[tex]3200 = 168 * x + 8[/tex]
Subtract both sides by 8
[tex]3192 = 168 * x[/tex]
Divide both sides 168 ---- [this answers the question]
[tex]19 = x[/tex]
[tex]x = 19[/tex]
Answer:
Divide 3,192 by 168.
Step-by-step explanation:
Divide 3,192 by 168.
Step-by-step explanation:
Given
Required
Step to required to get x when
The first step is to substitute for
Subtract both sides by 8
Divide both sides 168 ---- [this answers the question]
I NEEEEED HELP!!!!!!
Answers
Will mark Brainlest formula of (x+y)cube
Answers
Answer:
(x+y) ³
= x³+3x²y+3xy²+y³
=x³+y³+3xy(x+y)
Brainliest please~
(x+y)3= x^3+3x^2y+3xy^2+y^3
Compute ∬_R〖(7xy-5-2y^2)dxdy〗 where the domain of integration R is bounded by the lines y=0, y=4-2x and y=2x^2
Answers
Attached you'll find the region of interest, which is captured by the set of points
R = {(x, y) | √(y/2) ≤ x ≤ (4 - y)/2 and 0 ≤ y ≤ 2}
Written in this way, it's convenient to integrate with the order dx dy (that is, with respect to x first). In particular, we have
[tex]\displaystyle\iint_R(7xy-5-2y^2)\,\mathrm dx\,\mathrm dy = \int_0^2 \int_{\sqrt{\frac y2}}^{\frac{4-y}2} (7xy-5-2y^2)\,\mathrm dx\,\mathrm dy[/tex]
[tex]\displaystyle = \int_0^2 \int_{\sqrt{\frac y2}}^{\frac{4-y}2} \left(\frac72 x^2y-5x-2xy^2\right)\bigg|_{\sqrt{\frac y2}}^{\frac{4-y}2}\,\mathrm dy[/tex]
[tex]=\displaystyle\int_0^2\left(\frac{15}8y^3-11y^2+\frac{33}2y-10 +\sqrt2 y^{\frac52}-\frac74y^2+\frac5{\sqrt2}y^{\frac12}\right)\,\mathrm dy[/tex]
[tex]=\displaystyle\left(\frac{15}{32}y^4+\frac{2\sqrt2}7y^{\frac72}-\frac{17}4y^3+\frac{33}4y^2+\frac{5\sqrt2}3y^{\frac32}-10y\right)\bigg|_0^2[/tex]
[tex]=\boxed{-\dfrac{95}{42}}[/tex]
Write the next three terms in this pattern: 1, 4, 3, 6, 5, 8, 7, …
Answers
Answer:
10, 9, 12
Step-by-step explanation:
evaluate g(x)=x/x-3, if g(1/2)
Answers
Answer:
-1/5
Step-by-step explanation:
g(x) = x/(x-3)
Substituting x = 1/2 in g(x),
g(1/2) = 1/2/(1/2-3)
= 1/2/(1/2-6/2)
= 1/2/(-5/2)
= 1/2 ÷ - 5/2
= 1/2 x -2/5
= - 1/5
Step-by-step explanation:
here is your answer
here is your answer
Which of the folloing pairs consists of equivalent fractions? .4/6 and 3/5 or 9/16 and 3/32 or 18/48 and 15/40 or 7/10 and 10/7
Answers
Answer:
18/48 and 15/40
Step-by-step explanation:
18/48 = 3/8
15/40 = 3/8
•°• 18/48 is equivalent to 15/40
if three-fourth of a number is added to 14 gives result less than or equal to 20 .find the number,hense illustrate your answer on a number line
Answers
Answer:
see photo
Step-by-step explanation:
Suppose 2500 dollars is invested at 4% for 5 years. Find the account balance if it is
compounded daily, monthly, quarterly?
answer step by step
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Using the compound interest formula :
A = P(1 + r/n)^nt
A = final amount ; r = rate ; n = number of compounding times per period ; t = period ; P = principal
P = 2500 ; r = 4% = 0.04 ; t = 5 years
Daily compounding, n = 365
Yearly compounding, n = 1
Quarterly compounding, n = 4
Daily compounding :
A = 2500(1 + 0.04/365)^(5*365)
A = 2500(1.0001095)^1825
A = $3053.4734
Yearly :
A = 2500(1 + 0.04/1)^(5*1)
A = 2500(1.04)^5
A = $3041.6323
Quarterly:
A = 2500(1 + 0.04/4)^(5*4)
A = 2500(1.01)^20
A = $3050.4751
Translate this phrase into an algebraic expression.
RE
16 increased by twice a number
Use the variable n to represent the unknown numbers
Answers
Answer:
16 + 2n
Step-by-step explanation:
n + n is twice of a number, but 2n is simplified. "16 increased by" just represent addition
Consider two people where one person is 25% taller than the other but proportioned in exactly the same way. (That is, the taller person looks like a larger version of the shorter person.) Suppose the shorter person has a 31-inch waist. What size is the taller person's waist?
Answers
Answer:
38.75 in.
Step-by-step explanation:
[tex]125\% \times 31~in. = 1.25 \times 31~in. = 38.75~in.[/tex]
Find the distance (-2,4) and (-5,-0)
Answers
Answer:
d=√65 units
Step-by-step explanation:
Using the distance formula :
d=√((−5)−(2))2+((0)−(4))2 units
d=√(−7)2+(−4)2 units
d=√49+16 units
d=√65 units
If this helps you, please mark brainliest!
Have a nice day!