Answer:
D, or the last option.
Step-by-step explanation:
See how the rotation does not say whether it is Clockwise or Counterclockwise?
Now, what that means, is that it will, default, be CCW. I don't know why, but math teachers are like that.
Now, 80* and 10* add up to 90* (because they are both unmarked and going to the same direction).
So, 90* rotation CCW. Simple! Thus, the last option should be correct.
Hope this helps!
P.S. Stay Safe!
A woman bought a cup
of beans for 12 and sold it
for ₦15. What was her
percentage profit
Answer:
25 %Step-by-step explanation:
Given,
Cost price ( CP ) = 12
Selling price ( SP ) = 15
Since, CP < SP , she made a profit
Actual profit = SP - CP
plug the values
[tex] = 15 - 12[/tex]
Subtract the numbers
[tex] = 3[/tex]
Profit = 3
Now,
Profit percent = [tex] \frac{actual \: profit}{cost \: price} \times 100[/tex] %
Plug the values
[tex] = \frac{3}{12} \times 100[/tex] %
Calculate
[tex] = 25[/tex] %
Hope this helps...
Best regards!!
Answer:
25%
Step-by-step explanation:
Cost Price: ₦12
Selling Price: ₦15
Profit: ₦15 - ₦12 = ₦3
Profit Percentage = [tex]\frac{profit}{cost price}[/tex] × [tex]\frac{100}{1}[/tex]
Profit Percentage = [tex]\frac{3}{12}[/tex] × [tex]\frac{100}{1}[/tex]
Profit Percentage = [tex]\frac{1}{4}[/tex] × [tex]\frac{100}{1}[/tex] = 25%
Final Answer = 25%
11.1/0.01= what is the answer
Answer:
1,110
Step-by-step explanation:
calculator
8–2|4–5y|=4 help me as quick as u can plzzz
Answer: [tex]y=\frac{2}{5}, \frac{6}{5}[/tex]
Step-by-step explanation:
When answering a problem like this, you first isolate the absolute value. TO do this, first subtract 8 from both sides, to get –2|4–5y|=-4. Then divide both sides of the equation to get |4–5y|=2. The next thing you do is split the equation into 4-5y=2 and 4-5y=-2, because the contents of the absolute value could be negative or positive, and simplifying both into y = 2/5, and y = 6/5y.
Hope it helps <3
if a/b and c/d are rational expressions, then a/b divided by c/d=a•d/b•c
The expression a/b ÷ c/d = ad/bc is A. true.
To show that if a/b and c/d are rational expressions, then a/b ÷ c/d = ad/bc
Rational ExpressionsRational expressions are expressions of the form a/b where a and b are integers and b ≠ 0
If the rational expression a/b is to be divided by c/d, we take the reciprocal of the expression on the right side of the division sign.
So, L.H.S = a/b ÷ c/d
= a/b × 1/(c/d)
= a/b × d/c
= ad/bc
= R.H.S
Since L.H.S = R.H.S.
a/b ÷ c/d = ad/bc
So, the expression a/b ÷ c/d = ad/bc is A. true.
Learn more about rational expressions here:
https://brainly.com/question/12099997
If the m1 = 40, what is the m 3
Answer:
Your Answer is 120Step-by-step explanation:
m1=40
Taking m3
m3=40 ×3
m3= 120
Hope It helps UThe points B(2, 6) and D(0, -2) are two opposite vertices of a square ABCD, find the equation
of the diagonal AC.
Answer:
y = -x/4 + 9/2
Step-by-step explanation:
The diagonal AC is the perpendicular bisector of BD.
The centre of the square, P, through which both diagonal pass through is at the average of the coordinates of B(2,6) and D(0,-2)
P ((2+0)/2, (6-2)/2) = P(1,2)
The slope of BD,
m = (yd-yb)/(xd-xb) = (-2-6)/(0-2) = -8/-2 =4
Slope of AC
m' = -1 / m = -1/4
Using the point slope form of the line AC, slope m' through P(1,2)
y-yp = m'(x-xp)
y-2 = -(1/4)(x-1)
Simplify and isolate y
y = -x/4 + 1/4 +2 = -x/4 + 9/2
Please help im stuck
The figure above shows a right-angled triangle OAB. AOC is a minor sector enclosed in the triangle. If OA = 7 cm, AB = 6 cm, calculate the area and perimeternof the shaded region. PLEASE HELP!
Answer:
Step-by-step explanation:
Given that:
OA = 7 cm, AB = 6 cm. ∠A = 90°, OA = OC = 7 cm
Using Pythagoras theorem: OB² = OA² + AB²
OB² = 6² + 7²=85
OB = √85 = 9.22 cm
to find ∠O, we use sine rule:
[tex]\frac{AB}{sin(O)}=\frac{OB}{sin(A)}\\ \\sin(O)=\frac{AB*sin(A)}{OB}=\frac{6*sin(90)}{9.22} =0.65 \\\\O=sin^{-1}0.65=40.6^o[/tex]
AOC is a minor sector with radius 7 cm and angle 40.6
The Area of the triangle OAB = 1/2 × base × height = 1/2 × OA × AB = 1/2 × 7 × 6 = 21 cm²
Area of sector OAC = [tex]\frac{\theta}{360}*\pi r^2=\frac{40.6}{360}*\pi *7^2=17.37 \ cm^2[/tex]
Area of shaded region = The Area of the triangle OAB - Area of sector OAC = 21 - 17.37 = 3.63 cm²
Perimeter of arc AC = [tex]\frac{\theta}{360}*2\pi r=\frac{40.6}{360}*2\pi *7=4.96\ cm[/tex]
CB = OB - OC = 9.22 - 7 = 2.22
Perimeter of shaded region = AB + CB + arc AC = 6 + 2.22 + 4.96 = 13.18 cm
En un colegio, dos séptimos de total de los estudiantes asisten al taller de escultura, un décimo al taller de guitarra y dos quintos al taller de computación. ¿Qué fracción del total de los estudiantes no asiste a estos talleres?
Answer:
3/14
Step-by-step explanation:
En esta pregunta, nos preocupa calcular la fracción de los estudiantes que no asisten a los talleres.
Para obtener la fracción que no asiste a los talleres, lo que debemos hacer es sumar las fracciones de cada uno de los talleres y restar el total de 1.
Matemáticamente eso sería;
1- (2/7 + 1/10 + 2/5)
Agregando los términos en el paréntesis, tenemos;
(20+ 7 + 28) / 70 = 55/70 = 11/14
Restando esto de 1, tenemos; 1-11 / 14 = 3/14
please help!!! Its not a super hard question i just want to make sure im right
Answer:
D
Step-by-step explanation:
If you put the equation into a graphing calculator it will give ou a function than is a straight line that is stretched vertically by 3 units
HELP ASAP! Will name brainliest!
Answer:
The answer to your question is given in the attached photo.
Step-by-step explanation:
To determine the answer to the question,
First, we shall determine the value 3A.
This is obtained by multiplying matrix A by 3 as shown in the attached photo.
Next, we shall carry out the operation 3A – B as shown in the attached photo.
BRAINLIEST!! GEOMETRY THANKS!!! In rectangle shown B and F are midpoints of AC and AE , respectively. Find the ratio of the area of quadrilateral ABDF to the area of rectangle.
Answer:
1:2
Step-by-step explanation:
The area of ΔFED must be 1/4th of the entire area and so must the area of ΔBCD because B and F are the midpoints. Therefore, the area of ABDF is 1 - 1/4 - 1/4 = 1/2 of ACDE's are so the ratio is 1:2.
Heidi runs 1/3 of a mile in 1/4 of an hour and Louis takes 1/2 of an hour to run 23 of a mile.Who has the faster running rate?
Answer:
As both Louis and Heidi runs at the same speed, both are running at equal speed of 1.33 miles per hour.
Step-by-step explanation:
We will calculate speed of both the person in miles per hour and then compare the speeds.
Speed = distance/time
_____________________________________
For Heidi
Distance = 1/3 miles
time = 1/4 hour
speed = 1/3 ÷ 1/4 = 4/3 miles per hour = 1.33 miles per hour
_______________________________________
For Louis
Distance = 2/3 miles (here it was given 23 miles but it appears to be 2/3 of a miles )
time = 1/2 hour
speed = 2/3 ÷ 1/2 = 4/3 miles per hour = 1.33 miles per hour
______________________________________________________
As both Louis and Heidi runs at the same speed, both are running at equal speed of 1.33 miles per hour.
If b = 1/2x −1/y, then what is an expression for 2/b in terms of x and y?
Answer:
2/xy
Step-by-step explanation:
you have to do the math but im not very sure on this
One number is 7 less than 3 times the second number. Their sum is 29. Find the numbers.
Answer:
The numbers are 20 and 9Step-by-step explanation:
Let the first number be x
Let the second number be y
For the first equation
One number is 7 less than 3 times the second number is written as
x = 3y - 7
For the second equation
The sum of the two numbers is 29
So we have
x + y = 29
Substitute the first equation into the second one
That's
3y - 7 + y = 29
4y = 29 + 7
4y = 36
Divide both sides by 4
y = 9Substitute y = 9 into x = 3y - 7
That's
x = 3(9) - 7
x = 27 - 7
x = 20The numbers are 20 and 9
Hope this helps you
Factor .
X2-x-56=0
PLEASE HELP!!!
Answer:
use factoring x (see attachment)
-8 x 7 = -56
-8 + 7 = -1
(x - 8)(x + 7) = 0
x = 8, -7
hope this helps :)
.
Look at the table. Is ƒ(x) an exponential function? If so, identify the base. If not, why not?
No, there is no base common to any two successive terms.
yes, the base is 4
Answer:
yes, the base is 4
Step-by-step explanation:
If f(x) = x-5, ther match each of the following.
4
1 f(-1)
-6
2. f(0)
3. f(1)
-3
4. f(2)
3
5. f(5)
-5
6. f(8)
0
Answer:
1. f(-1) = -6
2. f(0) = -5
3. f(1) = -4
4. f(2) = -3
5. f(5) = 0
6. f(8) = 3
Step-by-step explanation:
1. f(-1)=-1-5=6
substitute the x value into the equation.
2. f(0)=0-5=-5
3. f(1)=1-5=-4
4.f(2)=2-5=-3
5. f(5)=5-5=0
6. f(8)=8-5=3
Graph the parabola. y=x^2 -4 where do i put the points
To generate a point, you plug in a number for x to get the corresponding y value.
If x = 0 for instance, then the y value is...
y = x^2 - 4
y = 0^2 - 4 ... x is replaced with 0
y = 0 - 4
y = -4
So x = 0 and y = -4 pair up to get the point (0,-4). This is the y intercept as the parabola crosses the y axis here. It turns out that this is also the vertex point as it is the lowest point on the parabola.
----------------
If x = 1, then,
y = x^2 - 4
y = 1^2 - 4
y = 1 - 4
y = -3
meaning (x,y) = (1,-3) is another point on this line.
----------------
Repeat for x = 2
y = x^2 - 4
y = 2^2 - 4
y = 4-4
y = 0
Since we got a y output of 0, we have found an x intercept located at (2,0). The other x intercept is (-2,0).
-------------------
The idea is to generate as many points as possible. Plot all of the points on the same xy coordinate grid. Then draw a curve through those points the best you can. You should get what you see in the diagram below. I used GeoGebra to make the graph. Desmos is another handy tool I recommend.
Note: the more points you generate, the more accurate the graph will be
A candy store sells mints, taffy, and caramel. If 5/8 of the candy in stock is
mints and 3/16 of the candy in stock is taffy, what part of the candy in stock is
caramel?
Answer:6/16 or 3/8
Step-by-step explanation:
I did it
Answer: 3/16
Step-by-step explanation:
Which of the following graphs is the graph of
Answer:
Graph A is the one that represents the given piecewise function.
Step-by-step explanation:
Notice that the Domain of the given function has been partitioned in three sections:
[tex]-2\leq x<0\,\,; \,\,\,x = 0\,\,;\,\,\,0<x\leq 2[/tex]
in the first section we have that the function responds to [tex]f(x)=x-1[/tex], which is a line of positive slope (ascending line) equal to "1", and y-intercept at y= -1.
This line should therefore start at the point (-2, -3) (when x = -2) and end at y almost equal to -1, when x approaches the value zero; and an empty dot should be seen in the position (0, -1)
For x = 0 we should see a solid dot located at the position (0, 1) on the plane.
And finally for the third section we should see a horizontal segment (that represents a constant value of 3, starting with an empty dot at the point (0, 3), and ending on a solid dot located at (2, 3).
This is what we see represented by the graph labeled A in the list of answer options.
Answer:
B
Step-by-step explanation:
find the average speed of car if it travels 18km in 20 minutes.
Answer:
[tex]\boxed{\sf Average \ Speed = 54\ km/hr}[/tex]
Step-by-step explanation:
Given:
Distance = S = 18 km
Time = t = 20 min = 20/60 = 0.33 hours
Required:
Average Speed = <v> = ?
Formula:
Average Speed = Total Distance Covered / Total Time Taken
Solution:
A . S = 18 / 0.33
A.S = 54 km/hr
Answer:
0.9km/minute
or
54km/hour
Step-by-step explanation:
Average speed in km/minutes18km in 20 minutes = 18km/20min
18km/20min = 0.9km/min
Average speed in km/hour1 hour = 60 minutes
20 minutes = 20/60 = 0.3333 hours
18km/20mins = 18km/0.3333hours = 54km/hour
In one month, the median home price in the Northeast rose from $225,400 to $241,500. Find the percent increase. Round your answer to the nearest tenth of a percent.
Answer:
7.1%
The percentage increase is 7.1%
Step-by-step explanation:
Percentage increase %∆P is the percentage change in the price.
Percentage increase %∆P = ∆P/Pr × 100%
Where;
∆P = change in sales price = $241,500-$225,400
Pr = regular price = $225,400
Substituting the given values;
%∆P = (241,500-225,400)/225,400 × 100%
%∆P = 7.142857142857% = 7.1%
The percentage increase is 7.1%
How many triangles does a=6 b=10 A=33° create?
Answer:
2 triangles are possible.
Step-by-step explanation:
Given
a=6
b=10
[tex]\angle[/tex]A=33°
To find:
Number of triangles possible ?
Solution:
First of all, let us use the sine rule:
As per Sine Rule:
[tex]\dfrac{a}{sinA}=\dfrac{b}{sinB}[/tex]
And let us find the angle B.
[tex]\dfrac{6}{sin33}=\dfrac{10}{sinB}\\sinB = \dfrac{10}{6}\times sin33\\B =sin^{-1}(1.67 \times 0.545)\\B =sin^{-1}(0.9095) =65.44^\circ[/tex]
This value is in the 1st quadrant i.e. acute angle.
One more value for B is possible in the 2nd quadrant i.e. obtuse angle which is: 180 - 65.44 = [tex]114.56^\circ[/tex]
For the value of [tex]\angle B = 65.44^\circ[/tex], let us find [tex]\angle C[/tex]:
[tex]\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 33+65.44+\angle C = 180\\\Rightarrow \angle C = 180-98.44 = 81.56^\circ[/tex]
Let us find side c using sine rule again:
[tex]\dfrac{6}{sin33}=\dfrac{c}{sin81.56^\circ}\\\Rightarrow c = 11.02 \times sin81.56^\circ = 10.89[/tex]
So, one possible triangle is:
a = 6, b = 10, c = 10.89
[tex]\angle[/tex]A=33°, [tex]\angle[/tex]A=65.44°, [tex]\angle[/tex]C=81.56°
For the value of [tex]\angle B =[/tex][tex]114.56^\circ[/tex], let us find [tex]\angle C[/tex]:
[tex]\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 33+114.56+\angle C = 180\\\Rightarrow \angle C = 180-147.56 = 32.44^\circ[/tex]
Let us find side c using sine rule again:
[tex]\dfrac{6}{sin33}=\dfrac{c}{sin32.44^\circ}\\\Rightarrow c = 11.02 \times sin32.44^\circ = 5.91[/tex]
So, second possible triangle is:
a = 6, b = 10, c = 5.91
[tex]\angle[/tex]A=33°, [tex]\angle[/tex]A=114.56°, [tex]\angle[/tex]C=32.44°
So, answer is : 2 triangles are possible.
Please answer question now
Answer:
469.42 ft²
Step-by-step explanation:
Law of sines;w/sin27 = 38/sin40
w = sin27*38/sin40
w = 26.84 ft
Angle x;∡X = 180 - 27- 40 = 113º
Area;A = 0.5*(26.84)*(38)*sin(113)
A = 469.42 ft²
Simplify the expression: 4(n-5)
Answer: 4n - 20
Step-by-step explanation: We can use the distributive property.
The distributive property tells us that if were given an expression
such as 4(n - 5), we can multiply the 4 by both the n and the -5.
So our answer is just 4n - 20.
A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either $6,000 or $12,000. If the partnership raised $486,000, then how many investors contributed $6,000 and how many contributed $12,000?
Answer:
39 investors contributed $6,000, and 21 investors contributed $12,000.
Step-by-step explanation:
Let's say that x investors contributed $6,000, and y investors contributed $12,000.
x + y = 60
6,000x + 12,000y = 486,000
x + 2y = 81
x + y = 60
y = 21
x + 21 = 60
x = 39
So, 39 investors contributed $6,000, and 21 investors contributed $12,000.
Hope this helps!
1. What number comes next in this sequence?
483, 759, 264, 837,?
A) 487
B) 592
C) 375
D) 936
Answer:
C 375 this your answer
Hope it will help
Answer:
B) 592
Step-by-step explanation:
483, 759, 264, 837,?
Erase commas.
483759264837
Separate into two-digit groups:
48, 37, 59, 26, 48, 37
There is a common pattern:
48 - 11 = 37 + 22 = 59 - 33 = 26 + 22 = 48 - 11 = 37
The next term:
37 + 22 = 59 (add 22)
59 - 33 = 26 (subtract 33)
5926
for a scavenger hunt, jim's mom distributed a bag of 725 jelly beans evenly into 29 plastic containers and hid then around the yard. if, after the hunt, jim has total of 275 jelly beans, then how many of the plastic containers did he find?
Answer:
11 bags
Step-by-step explanation:
725 jelly beans evenly into 29 plastic containers:
725/29=25 jelly beans in each plastic containers
275/25=11 Jim found eleven bags
Answer:
11 containers
Step-by-step explanation:
His mom evenly divided the jelly beans into containers. There are 725 jelly beans and 29 containers. To find how many jelly beans are in each container, divide 725 by 29.
725/29
25
There are 25 jelly beans in every container.
After the hunt, Jim had 275 jelly beans. There are 25 beans in each container. To find the number of containers, we can divide 275 by 25.
275/25
11
He found 11 containers.
In a survey of 2957 adults, 1455 say hey have started paying bills online in the least year construct a 99% confidence interval for the population proportion
Answer: 0.49 ± 0.0237
Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:
[tex]p_{hat}[/tex] ± z.[tex]\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }[/tex]
[tex]p_{hat}[/tex] is the proportion:
[tex]p_{hat}[/tex] = [tex]\frac{1455}{2957}[/tex]
[tex]p_{hat}[/tex] = 0.49
For a 99% confidence interval, z = 2.576:
0.49 ± 2.576.[tex]\sqrt{\frac{0.49(1-0.49)}{2957} }[/tex]
0.49 ± 2.576.[tex]\sqrt{\frac{0.49*0.51}{2957} }[/tex]
0.49 ± 2.576.(0.0092)
0.49 ± 0.0237
For a 99% confidence interval, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237