Answers
Answer:
<a = <b = 60°
Step-by-step explanation:
<a and <b is vertically opposite of each other, thus equal each other. 90 - 30 = <b = <a.
Answer:
a and b are equal so a and b are 60°
Related Questions
Is substitutions the best method to use when one variable is already known
Answers
If f (2) = (2 - 3)2 +4 and g(2) = 23 + 2 Which statement is True
Answers
Answer:
HOPE THIS HElps
Step-by-step explanation:
Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function
PLEASE HELP ASAP
What is an
equation of the line that passes through the points (3,3) and (3, -3)
Answers
Thus, slope is not defined. So there is no equation.
Which statement best describes ratio
Answers
Reason. 3:12 is 3 pints blue paint to the total pints of paint (12 total)
Which one of these is not a step used when constructing an inscribed equilateral triangle using technology?
A. Create a circle using the center with given point tool.
B. Connect the point with a line through the center of the circle.
C. Create another circle with the same radius as the original.
D. Connect the two circles together using the compass tool.
Answers
explanation
Answer:
The answer is D
Step-by-step explanation:
Draw the point at which your circle will be centered.
Use a compass to draw a perfect circle centered at point O.
Use a ruler to draw a vertical line straight through point O.
Draw the points at which the line intersects the circle.
Draw a second circle. This circle will be centered at Point W and the radius will extend to Point O.
Mark both places where the two circles intersect. Label the point on the left "Point Y" and the point on the right "Point Z".
Connect points X, Y, and Z using a ruler or straight edge.
P is the point (2, 7) and Q is the point (6, -3).
What is the gradient of PQ?
Answers
The Gradient of the line PQ is -5/2.
What is Gradient?Gradient the basically the ratio between the change in vertical coordinate to change in horizontal coordinates.
Here, P (2, 7) and Q (6, -3)
Now, Gradient = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
m = [tex]\frac{-3 -7}{6 - 2}[/tex]
m = -10/4
m = -5/2
Thus, the Gradient of the line PQ is -5/2.
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HELP PLS I NEED help this is to get my grade up
Answers
Answer: Around 10 days. The real answer is 10 2/3.
Answer:
10 and 2-third days.
Convert mixed number to improper fraction
Initial equation
[tex]\frac{176}{9} / \frac{11}{6}[/tex]
Next, multiply the numerators by the numerators, and do the same for the denominators. Flip the second number to 6/11
[tex]\frac{176 * 6}{9 * 11}[/tex]
[tex]= \frac{1056}{99}[/tex]
Simplify.
[tex]\frac{1056}{99} -- > 10\frac{2}{3}[/tex]
Solve for X, will mark brainliest if right
Answers
Answer:
x = 8
Step-by-step explanation:
The sides are in proportion.
[tex]\frac{RG}{FG} =\frac{SH}{FH}[/tex]40 / 7x + 14 = 44 / 33 + 4440 / 7x + 14 = 44/77 = 4/740(7) = 4(7x + 14)280 = 28x + 5610 = x + 2x = 8Find the simple interest charged for a loan of:
a $2000 for 3 months at 1.1% per month
Answers
Answer:
$5.50
Step-by-step explanation:
I = Prt
P = $2,000r = 1.1% = 0.011t = 3 months = 0.25 yearsSolving :
I = (2,000)(0.011)(0.25)I = (500)(0.011)I = $5.50Which function has the same minimum value as ? f(x) = 3x 3 f(x) = |x| 3 f(x) = –x2 3
Answers
The function that has the same minimum value as fx= 3x³ is f(x) = x + 3.
What is a function?It should be noted that a function simply means a relation or expression that involves two or more variables.
In this case, the function that has the same minimum value as the expression of 3x³ is f = x + 3.
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Answer:b
Step-by-step explanation:
A couple Invested $6100 in an account some of it went into a savings account paying 3% annual simple interest . The rest was invested in a riskier mini - mall development plan paying 11% annual simple interest . The combined interest earned for the first year was $503 . How much money was invested at each rate ?
Answers
Answer:
4387.63
Step-by-step explanation:
Find the measure of angle k
Answers
Answer:
30
Step-by-step explanation:
Step-by-Step Explanation:
As we know, a line is 180 degrees.
Hence, 65 + 85 + k = 180
= 65 + k = 180 - 85 = 95
=> k = 95 - 65 = 30
Therefore, k = 30
15. A cone has a radius of 9 cm and slant height of 12 cm. Find its surface area.
A. 593.46 cm²
B. 693.46 cm²
C. 793.46 cm²
D. 893.46 cm²
Answers
Answer:
594
Step-by-step explanation:
A=πrl+πr²
(22/7×9×12)+(22/7×9²)
=594
Simplify.
2
5x² - 7x + 3
-
10
+ 8x² + 9x
I need help
Answers
Answer:
621 i guess
Step-by-step explanation:
18x² + 2x² - 7
Tap on a clip to paste it in the text box.
PLEASE I BEG OF YOU HELP ME
Answers
For the function f(x) = x^1/3/3 find f^-1(x)
Answers
Answer:
To get f⁻¹(x), write f(x) = y = x^(1/3)/3, exchange x and y, so x = y^(1/3)/3, then y = (3x)³, this is just the f⁻¹(x) = (3x)³.
Step-by-step explanation:
Noel works as a driver for a transportation company. On average, he drives 152 hours to make 19 successful deliveries. Assume this rate is his constant rate for delivering goods. If you graph this relationship with time along the x-axis and number of deliveries along the y-axis, the slope of the line you get gives Noel's unit rate for a successful delivery. Which unit rate can be interpreted as the slope?
Answers
The unit rate can be interpreted as the slope will give [tex]\dfrac{1}{8}[/tex] of a delivery per hour
What is graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given: The total time for which Noel drives = 152 hours
The total number of successful deliveries = 19
Now, Noel's unit rate for successful delivery is given by:-
[tex]\rm =\dfrac{Total\ succesful\ deliveries}{Total\ hours}=\dfrac{19}{152}=\dfrac{1}{8}[/tex]
Hence, Noel's unit rate for the successful delivery 1/8 of a delivery per hour
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WILL GIVE BRAINLIEST, STARS, POINTS, AND THANK YOU FOR THE RIGHT ANSWER!!!
PLEASE. PLEASE HELP MEEE.
Computing Residuals
1/3
The table and scatter plot show the average monthly temperature, x, and a family's monthly heating cost, y, for 11 different months.
The equation of the line of best fit is y= -1.1x + 91.30
Use the equation of the line of best fit to fill in the blanks below.
Give exact answers, not rounded approximations.
Answers
Answer:
1st blank: $51.00. 3rd blank: 1.1 5th blank: 24.2
2nd blank: $67.00. 4th blank: 91.30. 6th blank: -57.4
Step-by-step explanation:
5
5.2
4
Find the area of the parallelogram.
square units
Answers
Answer:
20 square units
Step-by-step explanation:
Area of a parallelogram is calculated with the following formula:
b*h (b: base, h: height)
5*4 = 20 square units
In which data set does the range have the greatest spread?
A. 10, 11, 11, 14, 14
B. 10, 13, 13, 14, 15
C. 9, 11, 11, 13, 14, 15, 16
D. 8, 11, 13, 13, 17, 20, 23
Answers
Answer:
D (8, 11, 13, 13,17,20,23)
Step-by-step explanation:
I did this and got it correct.
In a class test containing 25 questions, 2 marks are given for every correct answer and 1 mark is deducted for every incorrect answer.
a. Aryan attempts only 22 questions and gets all of them correct. What is his total SCore?
b. Dhruv attempts all questions but gets 15 answers correct. What will be his Score?
Answers
Answer:
A. 44 (if unanswered questions do not deduct 1 point)
B. 40
Step-by-step explanation:
22 x 2 = 44
25 x 2 - 10 = 40
Answer this volume based Question. I will make uh brainliest + 50 points
Answers
Answer:
[tex]\huge{\purple {r= 2\times\sqrt[3]3}}[/tex]
[tex]\huge 2\times \sqrt [3]3 = 2.88[/tex]
Step-by-step explanation:
For solid iron sphere:radius (r) = 2 cm (Given)Formula for [tex]V_{sphere} [/tex] is given as:[tex]V_{sphere} =\frac{4}{3}\pi r^3[/tex][tex]\implies V_{sphere} =\frac{4}{3}\pi (2)^3[/tex][tex]\implies V_{sphere} =\frac{32}{3}\pi \:cm^3[/tex]For cone:r : h = 3 : 4 (Given)Let r = 3x & h = 4xFormula for [tex]V_{cone} [/tex] is given as:[tex]V_{cone} =\frac{1}{3}\pi r^2h[/tex][tex]\implies V_{cone} =\frac{1}{3}\pi (3x)^2(4x)[/tex][tex]\implies V_{cone} =\frac{1}{3}\pi (36x^3)[/tex][tex]\implies V_{cone} =12\pi x^3\: cm^3[/tex]It is given that: iron sphere is melted and recasted in a solid right circular cone of same volume[tex]\implies V_{cone} = V_{sphere}[/tex][tex]\implies 12\cancel{\pi} x^3= \frac{32}{3}\cancel{\pi}[/tex][tex]\implies 12x^3= \frac{32}{3}[/tex][tex]\implies x^3= \frac{32}{36}[/tex][tex]\implies x^3= \frac{8}{9}[/tex][tex]\implies x= \sqrt[3]{\frac{8}{3^2}}[/tex][tex]\implies x={\frac{2}{ \sqrt[3]{3^2}}}[/tex][tex]\because r = 3x [/tex][tex]\implies r=3\times {\frac{2}{ \sqrt[3]{3^2}}}[/tex][tex]\implies r=3\times 2(3)^{-\frac{2}{3}}[/tex][tex]\implies r= 2\times (3)^{1-\frac{2}{3}}[/tex][tex]\implies r= 2\times (3)^{\frac{1}{3}}[/tex][tex]\implies \huge{\purple {r= 2\times\sqrt[3]3}}[/tex]Assuming log on both sides, we find:[tex]log r = log (2\times \sqrt [3]3)[/tex][tex]log r = log (2\times 3^{\frac{1}{3}})[/tex][tex]log r = log 2+ log 3^{\frac{1}{3}}[/tex][tex]log r = log 2+ \frac{1}{3}log 3[/tex][tex]log r = 0.4600704139[/tex]Taking antilog on both sides, we find:[tex]antilog(log r )= antilog(0.4600704139)[/tex][tex]\implies r = 2.8844991406[/tex][tex]\implies \huge \red{r = 2.88\: cm}[/tex][tex]\implies 2\times \sqrt [3]3 = 2.88[/tex]What is the total number of different 13-letter arrangements that can be formed using the letters in the word ENLIGHTENMENT?
Answers
Answer:
86486400
Step-by-step explanation:
1: solve the following pair of equations simultaneously using the method stated.
a) 2x-3y = 5 and 3x+4y = 6 (elimination method)
b) 4x-y = 9 and 3xy = -6 (substitution method)
c) y=x^2 - 2x and y = 2x -3 (substitution method)
Answers
Answer:
Your answers are below ↓
Step-by-step explanation:
Given ↓
A) 2x-3y = 5 and 3x+4y = 6 ( The method this has to be solved in is the elimination method. )
Now using these,
(1)×3 - (2)×2 = 6x + 9y - 6x - 8y = 15 - 12
therefore,
y = 3
putting the value of y in eqn. (1)
2x + 6 = 5
therefore,
x = -1/2
B) y=x^2 - 2x and y = 2x -3 ( The method this has to be solved in is the substitution method. )
Reduce the greatest common factor on both sides of the equation:
[tex]\left \{ {{4x-y=9} \atop {xy=-2}} \right.[/tex]
Rearrange like terms to the same side of the equation:
[tex]\left \{ {{-y=9-4x} \atop {xy=-2}} \right.[/tex]
Divide both sides of the equation by the coefficient of the variable:
[tex]\left \{ {{y=-9+4x} \atop {xy=-2}} \right.[/tex]
Substitute the unknown quantity into the elimination:
[tex]x(-9+4x)=-2[/tex]
Apply Multiplication Distribution Law:
[tex]-9x+4x^2=-2[/tex]
Reorder the equation:
[tex]4x^2-9x=-2[/tex]
Divide the equation by the coefficient of the quadratic term:
[tex]\frac{1}{4}(4x^2)+\frac{1}{4}(-9x)=\frac{1}{4}*(-2)\\[/tex]
Calculate:
[tex]x^2-\frac{9x}{4}=-\frac{1}{2}[/tex]
Add one term in order to complete the square:
[tex]x^2-\frac{9x}{4}+(\frac{9}{4}*\frac{1}{2})^2=-\frac{1}{2}+(\frac{9}{4}*\frac{1}{2})^2[/tex]
Calculate:
[tex]x^2-\frac{9x}{4}+(\frac{9}{8} )^2=-\frac{1}{2} +(\frac{9}{8} )^2[/tex]
Factor the expression using [tex]a^2$\pm$2ab+b^2=(a$\pm$b)^2[/tex]:
[tex](x-\frac{9}{8} )^2=-\frac{1}{2} +(\frac{9}{8} )^2[/tex]
Simplify using exponent rule with the same exponent rule: [tex](ab)^n=a^n*b^n[/tex]
[tex](x-\frac{9}{8} )^2=-\frac{1}{2} +\frac{9^2}{8^2}[/tex]
Calculate the power:
[tex](x-\frac{9}{8} )^2=-\frac{1}{2}+\frac{81}{64}[/tex]
Find common denominator and write the numerators above the denominator:
[tex](x-\frac{9}{8} )^2=\frac{-32+81}{64}[/tex]
Calculate the first two terms:
[tex](x-\frac{9}{8} )^2=\frac{49}{64}[/tex]
Rewrite as a system of equations:
[tex]x-\frac{9}{8} =\sqrt{\frac{49}{64} }[/tex] or [tex]x-\frac{9}{8} =-\sqrt{\frac{49}{64} }[/tex]
Rearrange unknown terms to the left side of the equation:
[tex]x=\sqrt{\frac{49}{64} } +\frac{9}{8}[/tex]
Rewrite the expression using [tex]\sqrt[n]{ab} =\sqrt[n]{a} *\sqrt[n]{b}[/tex]:
[tex]x=\frac{\sqrt{49} }{\sqrt{64} } +\frac{9}{8}[/tex]
Factor and rewrite the radicand in exponential form:
[tex]x=\frac{\sqrt{7^2} }{\sqrt{8^2} } +\frac{9}{8}[/tex]
Simplify the radical expression:
[tex]x=\frac{7}{8} +\frac{9}{8}[/tex]
Write the numerators over the common denominator:
[tex]x=\frac{7+9}{8}[/tex]
Calculate the first two terms:
[tex]x=\frac{16}{8}[/tex]
Reduce fraction to the lowest term by canceling the greatest common factor:
[tex]x=2[/tex]
Rearrange unknown terms to the left side of the equation:
[tex]x=-\sqrt{\frac{49}{64} } +\frac{9}{8}[/tex]
Rewrite the expression using [tex]\sqrt[n]{a} =\sqrt[n]{a} *\sqrt[n]{b}[/tex]:
[tex]x=-\frac{\sqrt{49} }{\sqrt{64} }+\frac{9}{8}[/tex]
Factor and rewrite the radicand in exponential form:
[tex]x=-\frac{\sqrt{7^2} }{\sqrt{8^2} } +\frac{9}{8}[/tex]
Simplify the radical expression:
[tex]x=-\frac{7}{8} +\frac{9}{8}[/tex]
Write the numerators over common denominator:
[tex]x=\frac{-7+9}{8}[/tex]
Calculate the first two terms:
[tex]x=\frac{2}{8}[/tex]
Reduce fraction to the lowest term by canceling the greatest common factor:
[tex]x=\frac{1}{4}[/tex]
Find the union of solutions:
[tex]x=2[/tex] or [tex]x=\frac{1}{4}[/tex]
Substitute the unknown quantity into the elimination:
[tex]y=-9+4*2[/tex]
Calculate the first two terms:
[tex]y=-9+8[/tex]
Calculate the first two terms:
[tex]y=-1[/tex]
Substitute the unknown quantity into the elimination:
[tex]y=-9+4*\frac{1}{4 }[/tex]
Reduce the expression to the lowest term:
[tex]y=-9+1[/tex]
Calculate the first two terms:
[tex]y=-8[/tex]
Write the solution set of equations:
[tex]\left \{ {{x=2} \atop {y=-1}} \right.[/tex] or [tex]\left \{ {{x=\frac{1}{4} } \atop {y=-8}} \right.[/tex] -------> Answer
C) y=x^2 - 2x and y = 2x -3 ( This method this has to be solved in is the substitution method. )
Step 1: We start off by Isolating y in y = 2x - 3
y=2x-3 ----------> ( Simplify )
y+(-y)=2x-3+(-y) ---- > ( Add (-y)on both sides)
0=-3+2x-y
y/1 = 2x-3/1 --------> (Divide through by 1)
y = 2x - 3
We substitute the resulting values of y = 2x - 3 and y = x^2 - 2x
(2 * x - 3) = x^2 - 2x ⇒ 2x -3 = x^2 - 2x ----> ↓
(Substituting 2x - 3 for y in y = x^2 -2x )
Next: Solve (2x - 3 = x^2 - 2x) for x using the quadratic formular method
2x - 3 = x^2 - 2x
x = -b±b^2-4ac/2a Step 1: We use the quadratic formula with ↓
a = -1,b=4,c= - 3
x = -4±(4)^2-4(-1)(-3)/2(-1) Step 2: Substitute the values into the Quadratic Formular
x = -4± 4/ - 2 x = 1 or x = 3 Step 3: Simplify the Expression & Separate Roots
x = 1 or x = 3 ------- ANSWER
Substitute 1 in for x in y = 2x - 3 then solve for y
y = 2x - 3
y = 2 · (1) - 3 (Substituting)
y = -1 (Simplify)
Substitute 3 for in y = 2x - 3 then solve for y
y = 2x - 3
y = 2 · (3) - 3 (Substituting)
y = 3 (Simplify)
Therefore, the final solutions for y = x^2 -2x; y = 2x - 3 are
x₁ = 1, y₁ = -1
x₂ = 3, y₂ = 3
Need help trying to find the answer
Answers
Answer:
3/20
Step-by-step explanation:
1. Multiply the numerators
2. Multiply the denominators
3. Your answer, in this case, will be 6/40
4. Simplify fraction to its simplest form* which gives you 3/20
*I halved both numbers as they are both even
Hope this helped :)
if n varies directly with m and m=-12 when n=4 what is the value when n=-3
Answers
Step-by-step explanation:
m and n are directly linked to each other by a factor.
m×k = n
-12×k = 4
k = 4/-12 = -1/3
m×-1/3 = -3
m = 9
If 27 out of 30 people passed a driving
test, what percent failed?
Answers
Answer:
10% failed the driving test
Step-by-step explanation:
27/30 = 90% and since 90% is what PASSED, 10% is what FAILED
this should be correct... if its not im sorry
Answer:
10% failed
27 / 30 is 90% so, 100% - 90% = 10%
Please mark Brainliest!!
need help I don’t know what to do please help !!
Answers
Answer:
Yes, because the monthly service fee is approximately the same each month.
Step-by-step explanation:
At one month, the service fee is around $50, then from month one to month two the service fee is around $50, and so on. Just focus on the line and the points it makes in respect to the month to cost ratio.
Which is not a reason an athlete uses technology to assess performance?
A. To monitor development.
B. To tailor to their training program.
C. To send to college recruiters.
D. To analyze technique.
Answers
Answer:
the surface of the teachers table measures 1.5 m by 1m what is its surface area
which set of measures could be the measures of the interior angles of a triangle?
a.30°, 90°, 30°
b.32°, 59°, 79°
c.35°, 65°, 75°
d.22°, 37°, 121°
Answers
Answer:
D
Step-by-step explanation:
Whatever angle you pick the three possibilities must add to 180.
a) adds to 150
b) 32 + 59 + 79 = 170. Close but not close enough
c) c has three 5s. The total will end in 5. Not the answer.
d) d does add to 180. It's the answer.
Which set of measures could be the measures of the interior angles of a triangle?
a.30°, 90°, 30°
b.32°, 59°, 79°
c.35°, 65°, 75°
d.22°, 37°, 121°
Explanation -:In this question we are asked to find out which one could be the measures of the interior angles of a triangle. Add the three measure angles given if you get 180° then those angles can be the interior angles of a triangle.
We know that,
[tex] \bull \: \small\boxed{ \rm{ Sum \: of \: all \: interior \: angles \: of \: a \: triangle = 180°}}[/tex]
a) 30°, 90°, 30°
→ 30° + 90° + 30° = 180°
→ 150° ≠ 180°
Option a) is not the correct answer.
b) 32° , 59° , 79°
→ 32° + 59° + 79° = 180°
→ 170° ≠ 180°
Option b) is not the correct answer.
c) 35° , 65° , 75°
→ 35° + 65° + 75° = 180°
→ 175° ≠ 180°
Option c) is not the correct answer.
d) 22° , 37° , 121°
→ 22° + 37° + 121° = 180°
→ 180° = 180°
Hence, opition d) is the correct answer
