Answer:
5
Step-by-step explanation:
We know that we can use the Pythagorean theorem
a^2 + b^2 =c^2
where a and b are the legs and c is the hypotenuse
one of the legs is 12 and the hypotenuse (diagonal) is 15
a^2 + 12^2 = 15^2
a^2 +144 = 169
a^2 +144-144 =169-144
a^2 = 25
Taking the square root of each side
sqrt(a^2) = sqrt(25)
a = 5
Answer:
l = 9 cm
Step-by-step explanation:
Using Pythagoras' identity in one of the right triangles with legs width w, length l and hypotenuse h , then
l² + w² = h²
l² + 12² = 15²
l² + 144 = 225 ( subtract 144 from both sides )
l² = 81 ( take the square root of both sides )
l = [tex]\sqrt{81}[/tex] = 9
Which ordered pair is the best estimate for the solution of this system of linear equations?
A.(-6, -2)
B.(-3, 2)
C. (4,-4)
D. (6,8)
Convert the credit card rate to the APR. Ohio, 0.02192% daily rate. Please round your answer to the nearest percent. (zero decimal place.) Enter only the number without $ sign.
Answer:
8%
Step-by-step explanation:
APR means annual percentage rate.
To convert the daily rate to an APR, multiply the daily rate by the number of days in a year
365 days = 1 year
0.02192% x 365 = 8.0008%
To round off to the nearest percent, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
The tenth digit is 0, so the number would be rounded off to 8%
Decide which kind of change(s) is/are illustrated in each equation
(meaning changed from "regular" y=sinx or y=cosx)
→ Note: more than once choice may be circled per question.
Phase shift and period change
Rewriting the equation:
y = cos ( 2 ( x - 2 ) )
Phase shift 2 units to the right
Period changed to 2pi/2 = pi
Cho 6 số thỏa mãn: xa+yb=c ,xb+yc=a, xc+ya=b; abc khác 0
Tính P= [tex]$\frac{a^{2}}{bc}$ + $\frac{b^{2}}{ca}$ + $\frac{c^{2}}{ab}$[/tex]
Answer:
Step-by-step explanation:
xa+yb=c
xb+yc=a
xc+ya=b
add
x(a+b+c)+y(a+b+c)=a+b+c
x+y=1 ... (1)
xac+ybc=c²
xab+yac=a²
xbc+yab=b²
add
x(ab+bc+ca)+y(ab+bc+ca)=a²+b²+c²
[tex]x+y=\frac{a^2+b^2+c^2}{ab+bc+ca} \\\frac{a^2+b^2+c^2}{ab+bc+ca} =1\\a^2+b^2+c^2=ab+bc+ca\\a^2+b^2+c^2-ab-bc-ca=0\\a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)=(a+b+c)(0)=0\\a^3+b^3+c^3=3abc\\\frac{a^3}{abc} +\frac{b^3}{abc} +\frac{c^3}{abc} =3\\\frac{a^2}{bc} +\frac{b^2}{ca} +\frac{c^2}{ab} =3[/tex]
PLEASER HELP WILL GIVE BRAINLIEST!
Answer:
$250
Step-by-step explanation:
the class width (just choose one of the rows, it could be the same) =>for example:the first row = $(749-500+1) = $250
BRAINIST FOR CORRECT AWNSER
What is the area of the figure below?
12.5 sq. units
7.5 sq. units
25 sq. units
15 sq. units
Answer:
7.5 square units
Step-by-step explanation:
3x5=15. 15/2=7.5. 7.5 is the area. PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS brainliest.
Answer:
7.5 sq units
Step-by-step explanation:
Let's list out all the points in the triangle.
(0,4) (4,1) and (5,4)
Find the distance b/w each side
distance b/w (0,4) and (4,1) is
[tex]\sqrt{(1-4)^{2}+( 4-0)^{2} }[/tex] =[tex]\sqrt{(-3)^{2}+16 } =\sqrt{9+16}=\sqrt{25} =5[/tex]
distance b/w (4,1) and (5,4) is
[tex]\sqrt{(4-1)^{2}+(5-4)^{2} }=\sqrt{9+1}=\sqrt{ 10 }[/tex]
distance b/w (5,4) and (0,4) is
[tex]\sqrt{(4-4)^2+(0-5)^2}=\sqrt{25} =5[/tex]
So the given triangle is an isoscles triangle meaning 2 sides are equal.
So we can use the formula 1/2*base*height=
1/2*[tex]\sqrt{10}[/tex]*5
=0.5*3.16*5=7.905
So the approximate answer would be 7.5 sq units
What is the length of AC? B 3 ft 4 ft N O 3 ft O 4 ft O 18 ft M 6 ft O 12 ft A
please help
Answer:18 ft
Step-by-step explanation:
Got it right on edg 2021
kendra is 3 times her dauters age plus 7 years kendra is 49 years old. write an equation to find he duaghters age?
Answer:
3x+ 7 =49
Step-by-step explanation:
49-7= 42
42 divided by 3 = 14
her daughter is 14 years old
I truly hope this helped, it makes sense to me. I wasn't sure whether or not you needed a more detailed equation, but that's one.
have a great day!
Which is the equation of the line with y-intercept -2 and slope 6.
Answer:
The equation would be y=m-2+6
Step-by-step explanation:
Have a great day :)
URGENT PLS HELP . pls put explanation as well. thank you:)
Answer:
The promoters profit would be $46,350 if they sell 850 tickets
Step-by-step explanation:
The value 61 is likely the cost of each ticket, and the value 5,500 is likely the amount the promoter spent in order to promote at the concert since it was being subtracted from his profits
Hope this helps :)
Can someone help me out plz
Answer:
Around 59.69026
Step-by-step explanation:
C = Circumference (What we are looking for)
R = 9.5yd (Radius)
C = 2(Pie [I can't find the symbol])rC = 2(Pie)9.5C ≈ 59.69026ASAP HELP PLS NO WRONG ANSWERS------------
Answer:
d=2
Step-by-step explanation:
We are given equation:
sqrt(4y-3)=d-y
Squaring both sides gives:
4y-3=(d-y)^2
Applying the identity (x+y)^2=x^2+2xy+y^2 on right:
4y-3=d^2-2dy+y^2
Now let's y=7:
4(7)-3=d^2-2d(7)+(7)^2
Simplify:
25=d^2-14d+49
Subtract 25 on both sides:
0=d^2-14d+24
Factor left:
0=(d-12)(d-2) since -2+-12=-14 and -2(-12)=24
This gives d=12 or d=2.
The d that makes d-y or I mean d-7 negative will give us y=7 as extraneous
Since 2-7 is -5, then d=2 is what we are looking for.
Check:
sqrt(4y-3)=d-y
Set d=2: sqrt(4y-3)=2-y
Now solve for y:
Square both sides: 4y-3=4-4y+y^2
Subtract 4y and 3 on both sides: 0=7-8y+y^2
Reorder right side: 0=y^2-8y+7
Factor: 0=(y-7)(y-1) since -7+-1=-8 and -7(-1)=7
This gives y=7 or y=1.
Plugging in y=7 for a check to this equation gives:
sqrt(4×7-3)=2-7
Sqrt(25)=-5
5=-5 which is not true which is what we wanted
Mahmoud earns $450 per week plus a 20% commission as a car salesman. He wants his
hourly salary to be at least $35.
The inequality that relates the number of hours to the weekly sales is:
[tex]450 + 0.20x \ge 35y[/tex]
The complete question implies that we define an inequality that represents the relationship between the number of hours worked in a week and the weekly sales
We make use of the following representation:
[tex]x \to[/tex] weekly sales from cars.
[tex]y \to[/tex] hours worked in a week
His weekly salary is then calculated as:
Salary (S) = Earnings per week + Commission * Sales from car
So, we have:
[tex]S = 450 + 20\% * x[/tex]
Express percentage as decimal
[tex]S = 450 + 0.20* x[/tex]
[tex]S = 450 + 0.20x[/tex]
Assume he works for y hours in a week.
His hourly rate is:
[tex]Hourly = \frac{S}{y}[/tex] --- i.e. weekly salary divided by number of hours
[tex]Hourly = \frac{450 + 0.20x}{y}[/tex]
For this rate to be at least [tex]\$35[/tex], the following condition must be true
[tex]Hourly \ge 35[/tex] --- i.e. is hourly rate must be greater than or equal 35
So, we have:
[tex]\frac{450 + 0.20x}{y} \ge 35[/tex]
Multiply both sides by y
[tex]450 + 0.20x \ge 35y[/tex]
Learn more about inequality:
https://brainly.com/question/20383699
The two bases of a trapezoid measure 14 inches and 10 inches respectively. The trapezoid's height is 8 inches. What is the area of the trapezoid?
192 square inches
1120 square inches
140 square inches
96 square inches
Answer:
A = 96 inches ^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 ( b1+b2)h where b1 and b2 are the bases and h is the height
A = 1/2( 14+10)*8
A = 1/2(24)*8
A = 12*8
A = 96 inches ^2
The area of trapezoid is given
A = 1/2 (b1+b2)h where b1 and b2 is base and h is height
A = 1/2 (14+10)*8
A = 1/2 (24)*8
A = 12 * 8
A = 96 square inches ....Given the preimage and image,find the dilation scale factor.
Answer:
The dilation scale factor is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
The image is the dilated form of its preimage if and only if the following conditions are observed:
1) [tex]K' = \alpha_{1} \cdot K[/tex]
2) [tex]T' = \alpha_{2} \cdot T[/tex]
3) [tex]P' = \alpha_{3} \cdot P[/tex]
4) [tex]J' = \alpha_{4} \cdot J[/tex]
5) [tex]\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}[/tex]
If we know that [tex]K = (2, 0)[/tex], [tex]K' = (1, 0)[/tex], [tex]T = (3, 0)[/tex], [tex]T' = (1.5,0)[/tex], [tex]P = (1, 5)[/tex], [tex]P' = (0.5, 2.5)[/tex], [tex]J = (0, 3)[/tex] and [tex]J' = (0, 1.5)[/tex], then the coefficients are, respectively:
[tex]\alpha_{1} = \frac{1}{2}[/tex], [tex]\alpha_{2} = \frac{1}{2}[/tex], [tex]\alpha_{3} = \frac{1}{2}[/tex], [tex]\alpha_{4} = \frac{1}{2}[/tex]
As [tex]\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}[/tex], we conclude that the dilation scale factor applied in the preimage is equal to [tex]\frac{1}{2}[/tex].
If the graph of f(x) = x^2, how will the graph be affected if it is changed to f(x) = 3r^2?
Answer:
the graph curve will goes above f(x)=x^2.f(x)=3*x^2 curve will also give higher value same value of x .
Step-by-step explanation:
complete the square x^2+45=-14x
[tex]\sqrt\\x^{2} - 3\\[/tex]
why does an absolute value equation equal to zero only has 1 equation
Answer:
see below
Step-by-step explanation:
The reason why an absolute value equation equal to zero only has one solution
We set the absolute value equation equal to ± the solution
±0 = 0 There is only one value for ±0 which is 0, therefore there is only one solution
which radical expression in the picture is equivalent to t^5/8?
=========================================================
Explanation:
The rule we use is
[tex]\Large a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m[/tex]
where 'a' is the base, m stays in the role of the exponent, and n plays the role of the root index (eg: n = 3 is a cube root, n = 4 is a fourth root, and so on).
So for instance,
[tex]\Large 2^{3/4} = \sqrt[4]{2^3} = \left(\sqrt[4]{2}\right)^3[/tex]
or in this case,
[tex]\Large t^{5/8} = \sqrt[8]{t^5} = \left(\sqrt[8]{t}\right)^5[/tex]
Someone please help me solve this
1.4
2.3
3.7
solution 1
2+2+=4
solution 2
3
Find the measure of
Answer:
<L is 90°
Step-by-step explanation:
all angles at the center are twice the angles at the circumference and the angle at the center is 180 meaning the angle at the circumference will be half of 180
I hope this helps
Algebraic math question
Answer:
[tex] 7 \: {ft}^{2} [/tex]
Step-by-step explanation:
Area of the trapezoidal table
[tex] =\frac{1}{\cancel 2}(4 + 3)\times \cancel 2[/tex]
[tex] = 7 \: {ft}^{2} [/tex]
Answer:
7 ft squared
Step-by-step explanation:
Area of the trapezoidal table
What is the equation of the line that passes through (-1, 5) and (3, -7)?
Answer:
[tex] 3x + y = 2 [/tex]
Step-by-step explanation:
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
[tex] y - 5 = \dfrac{-7 - 5}{3 - (-1)}(x - (-1)) [/tex]
[tex] y - 5 = \dfrac{-12}{4}(x + 1) [/tex]
[tex] y - 5 = -3(x + 1) [/tex]
[tex] y - 5 = -3x - 3 [/tex]
[tex] 3x + y = 2 [/tex]
Consider this linear function y=1/2x+1 plot all ordered pairs for the values in the domain D:{-8,-4,0,2,6}
Answer:
Following are the calculated points to the given question:
Step-by-step explanation:
[tex]When\ x=-8\\\\y=\frac{1}{2}(-8)+1=-3\\\\[/tex]
so,
[tex]Point \ A(-8,-3)[/tex]
[tex]When\ x=-4\\\\y=\frac{1}{2}(-4)+1=-1\\\\[/tex]
so,
[tex]Point \ B(-4,-1)[/tex]
[tex]When\ x=0\\\\y=\frac{1}{2}(0)+1=1\\\\[/tex]
so,
[tex]Point \ C(0,1)[/tex]
[tex]When\ x=2\\\\y=\frac{1}{2}(2)+1=2\\\\[/tex]
so,
[tex]Point \ D(2,2)[/tex]
[tex]When\ x=6\\\\y=\frac{1}{2}(6)+1=4\\\\[/tex]
so,
[tex]Point \ E(6,4)[/tex]
help me pleaseeeee!!!
Answer: A
Step-by-step explanation:
Using the distributive property, for the denominators, you get x^2+4x-5x-20. Combining like terms, 4x-5x is -1x. So x^2-x-20. -1x is the equivalent to -x because -1*x is -x. There is only one solution with this denominator, A. So there’s no need to figure out the numerator.
what is the decrease of a right angle pls help i suck at math NVM ITS 90
Answer: 90 degrees
Step-by-step explanation:
Find the value of x.
A. 176
B. 256
C. 74
D. 128
Answer: D
Step-by-step explanation: Using the angle formed by two chords theorem, angle X is equal to 1/2 times the sum of the degree measures of the two arcs.
The angle x will be equal to 128 degrees. The correct answer is option D.
What are the Angles of Intersecting Chords Theorem?When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.
The angle x will be calculated as below:-
Angle x = Sum of angles made by two intersecting chords / 2
Angle x = ( 54 + 202 ) / 2
Angle x = ( 256 / 2 )
Angle x = 128 degrees
Therefore, the angle x will be equal to 128 degrees. The correct answer is option D.
To know more about the Intersecting Chords Theorem follow
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Find the missing side length in the image below
Answer:
Step-by-step explanation:
Joe worked for three days. On the first day, he completed 1/2 of his work. On the second day, he completed 1/3 of the remaining work. What fraction of the work was left for the third day?
Answer:
1/3
Step-by-step explanation:
first day work=1/2
work left=1-1/2=1/2
second day finished=1/3 ×1/2=1/6
work left =1/2-1/6=3/6-1/6=2/6=1/3