Answer:
125.66 in2
Step-by-step explanation:
The area of the pizza is given by the formula:
Area = pi * radius^2
The radius of the pizza is half the diameter, so radius = 16/2 = 8 inches
Then, the total area is:
Area = pi * 8^2 = 64pi in2
They will put cheese in 5 of the 45° slices, so the total angle covered is 5 * 45° = 225°.
If the full area of the pizza is 360°, we can find the area covered by cheese using a rule of three:
360° -> 64pi in2
225° -> x in2
x = (225/360) * 64pi
x = 125.66 in2
Simplify the following exponential expression.
14405c4
- 166c-14
Brian & Paul share a lottery win of £7800 in the ratio 1 : 4. Brian then shares his part between himself, his wife & their son in the ratio 1 : 6 : 3. How much more does his wife get over their son?
Answer:
The wife gets £468 over the son
Step-by-step explanation:
Firstly, we shall calculate the total amount Brian made from from what he and Paul won.
The ratio is 1:4, meaning for every 2 part Brain takes, Paul takes 4
Paul’s share is thus 1/5 * 7800 = 7800/5 = £1560
Now we have another ratio for sharing the amount Brain has at home.
The total ratio here is 1+6+3 = 10
The share of the wife will be 6/10 * 1560 = 6 * 156 = 936
The son share is half of this which is 936/2 = 468
The difference between their shares is £936-£468 = £468
4. In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST SP and
m
130°
80°
65°
50°
In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST = SP and m∠R = 130°, what is m∠PST?
Answer: 80°
Step-by-step explanation:
ST = SP and m∠R = 130°
If m∠R = 130°, then,
QPS = 130° ( Opposite angles of a parallelogram are equal)
QPS + SPT = 180° (angle on a staght line)
130° + SPT = 180°
SPT = 180° - 130° = 50°
PTS = SPT = 50° (Base Angle of an isosceles triangle)
m∠PST = 180° - (50° + 50°) (sum of Angle in a triangle)
m∠PST = 80°
The total cost of a new calculator is $81.05. This price includes a 10% discount followed by a 6.5% sales tax. What was the original price of the calculator not including the tax or the discount?
Answer:
68.245
Step-by-step explanation:
total cost = $81.05
10% discount is 10/100× 81.05=8.105
substract 8.105 from 81.05= 72.945
with a 6.5% sales tax
6.5/100× 72.954 = 4.7
72.945-4.7= 68.245 the actual price
if am wrong let me know
In December, Sara's Sodas produced 4.0 million liters of the beverage. Manufacturing overhead was $1,435,000 and the cost per liter was $0.47. Labor costs were 25 percent of materials cost. Required: a. Calculate the materials cost for December.
Answer:
The material cost for December = $356,000
Step-by-step explanation:
The manufacturing overhead is the sum of the indirect costs that come from the manufacturing process except labor and materials
Hence, whereby the cost per liter = $0.47, we have;
Total volume produced = 4.0 million liters
Manufacturing overhead = $1,435,000
Total cost = Cost per liter × Total volume produced
∴ Total cost = 4 × 10⁶ × $0.47 = $1,880,000
Hence the cost of labor + materials = Total cost - Manufacturing overhead
the cost of labor + materials = $1,880,000 - $1,435,000 = $445,000
Labor cost = 25% material cost = 0.25 × material cost
∴ 0.25 × material cost + material cost = $445,000
1.25 × material cost = $445,000
material cost = $445,000/1.25 = $356,000
Which gives labor cost = 0.25 × $356,000 = $89,000
The material cost for December = $356,000.
The graph of a linear function is shown
Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
the answer is b
Step-by-step explanation:
plz give me a Brainliest
A word that describes the slope of the line is negative. The correct answer is option B.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
For this case the first thing you should know is that we have an equation of the form:
y = mx + b
Where,
m: The slope of the line
b: Cutting point with the vertical axis.
For this case, we observe that the values of y decrease when the values of x increase. Therefore, the function decreases.
This means that it is true that:
m < 0
Therefore, the slope of the line is negative.
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Please help! select the correct answer
Answer:
the answer is show me your kitty cat
Step-by-step explanation:
A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.8 m/s at an angle of 23 SE from the window. It hits the ground 5s later. (A) how far horizontally from the building does the ball land on the ground? (B) find the height that the ball was thrown from
Answer:
a)40.5m
b)139.5m
Step-by-step explanation:
Considering downward as 'positive' y-direction
[tex]x_i=0\\y_i=0\\v_i=8.8m/s\\a_x=0\\a_y=g\\\theta = 23\degree\\t=5s[/tex]
First is to resolve initial velocity into x and y component:
[tex]v_x_i=v_icos\theta = 8.8 \times cos(23)= 8.1m/s\\v_y_i=v_isin\theta = 8.8 \times sin(23)= 3.4m/s\\[/tex]
a) in order to find horizontal position of the ball:
[tex]x_f=x_i+v_x_it+\frac{1}{2} a_xt^2[/tex]
[tex]x_f= 8.1\times5=40.5m[/tex]
b) To find the height that the ball was thrown from(vertical position):
[tex]y_f=y_i+v_y_it+\frac{1}{2} a_yt^2\\y_f=(3.4\times 5)+(\frac{1}{2} \times9.8\times5^2)\\y_f=139.5m[/tex]
Please please please help !!!
Figure ABCD is reflected about the y-axis to obtain figure A′B′C′D′:
A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5.
Which statement best describes the relationship between the two figures? (4 points)
A)Figure ABCD is similar to figure A′B′C′D′.
B)Figure ABCD is bigger than figure A′B′C′D′.
C)The measure of angle D is equal to the measure of angle A′.
D)The measure of angle D is equal to the measure of angle B′.
Answer:
A
Step-by-step explanation:
These shapes are not identical, because the angles and sides are mirrored, but much like a mirrored object, they are similar. Another way to explain it is when you look into a mirror what you are seeing is not what people see when they see you with their eyes, it's a REFLECTION!
The correct option is Option A: figure ABCD is similar to A′B′C′D′.
What is reflection?Reflection is the translation of the figure about an axis or point so that the distance of the reflected figure from the axis is the same as the distance of the original figure from the axis.
When a point of coordinate (x,y) is reflected about the y-axis then the coordinate of the reflected point will be (-x,y).
In quadrilateral ABCD the coordinate of A is (2,5) and the coordinate of A' is (-2,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point A' is the reflection of point A.
In quadrilateral ABCD the coordinate of B is (1,2) and the coordinate of B' is (-1,2). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point B' is the reflection of point B.
In quadrilateral ABCD the coordinate of C is (3,1) and the coordinate of C' is (-3,1). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point C' is the reflection of point C.
In quadrilateral ABCD the coordinate of D is (4,5) and the coordinate of D' is (-4,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point D' is the reflection of point D.
So all the points of quadrilateral ABCD are reflected about the y-axis.
As it is a reflection about the y-axis for which the size will not be changed and both the reflected and the original figure will be similar.
Therefore the correct option is Option A: figure ABCD is similar to A′B′C′D′.
Learn more about reflection
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A fair dice is rolled.
Work out the probability of getting a factor of 8.
Give your answer in its simplest form.
Answer:
1/2
Step-by-step explanation:
The factors of 8 are 1,2,4
So there are three factors of 8 on the dice
There are a total of 6 numbers on the dice
So the probability is ,3/6
Which in its simplest form is 1/2
Manish and Jhanavi each receive an equal bonus. Manish has 1/2 fraction of allowance as saving accounts , 1/4 of the fraction he spend at the mall. Jhanavi has 1/3 fraction of allowance as saving accounts , 3/5 of the fraction she spend at the mall. If the allowance of each is Rs. 2520,find the amount left with Manish and Jhanavi?
Answer:
Step-by-step explanation:
Manish:
[tex]Savings=\frac{1}{2}*2520\\\\= Rs.1260\\\\Amount spend at mall=\frac{1}{4}*2520\\\\=Rs.630[/tex]
Amount left with Manish = 2520 - (1260 + 630) = 2520 - 1890 = Rs. 630
Jhanavi:
Savings = (1/3) *2520 = Rs. 840
Amount spend at mall = (3/5) * 2520
= 3 * 504
= Rs. 1512
Amount left with Jhanavi = 2520 - (840 +1512) = 2520 - 2352
= Rs. 168
Wanda jumped rope 25 times every minute. What is the algebraic equation to express the function of the total number of times Wanda jumped rope? A. m = 25j B. m + j=25 C. 25 = j - m D. j = 25m
Answer:
I think it's A) bro,
Step-by-step explanation:
on the test write now soooo...
Is ½% greater than or less that one hundredth?
Answer:
1/2 Is Greater
Step-by-step explanation:
If you have HALF of 100 you have have 50. If you have 1/100 of 100 you have 1. Therefore, 50>1, so 1/2 is greater.
Solve:2/3 - 4x +7-2= -9.x +5/6
x = -3/2
x = -2/3
X=2/3
X=3/2
Answer:
2/3-4x+7-2=-9.x+5/6
2/3+7/1-2/1-5/6=-9.x+4x
12+126-36-15/18=-5x
87/18=-5x
29/6=-5x
29/6÷5=-5x÷5
29/6*1/5=-5x÷5
29/30=-x
-29/30=x
-0.9667=x
Factor completely 3x2 − x − 4.
Answer:
(3x-4)(x + 1)
Step-by-step explanation:
first, split the middle term,
3x^2-x-4
= 3x^2 + 3x - 4x - 4
= 3x( x+ 1) - 4( x + 1)
= (3x-4)(x + 1)
plz mark as brainliest
Answer:
(3x − 4)(x + 1)
Step-by-step explanation
A red light
flashes on
every
8 secs and a
green light flashes on
flashes on every 10 secs. If the two
lights are switched on
at the same time.
After how long will both lights flash on
together?
Answer:
Both lights would flash together after every 30 seconds.
Step-by-step explanation:
6 = 2 * 3 and 10 = 2 * 5.
LCM (Least Common Multiple) of 6 and 10 = 2 * 3 * 5 = 30.
Therefore, both lights wold flash together after every 30 seconds.
Answer:
every 30 seconds.
Step-by-step explanation:
I'm a banana
I'm a banana
I'm a banana
Look at me move, yeah yeah
I'm a banana
I'm a banana
I'm a banana
Look at me move, ah
Banana power
Banana power
Banana power
Power
Banana power
Banana power
Banana power
Look at me move
Uh oh banana time
Uh oh banana time
Uh oh banana time
Stop
Stop
Stop
Carts, farts, marts, darts
Hearts, starts, carts, marts
Carts, marts, darts, farts
Darts, starts, hearts, ah
Chicken, chicken, chicken
I am
Chicken, chicken
Chicken
Stop
Look at me
Look at me move
I'm a banana
I'm a banana
I'm a banana
yes
Which graph represents a function??
Answer:
To be a function a graph must pass the vertical line test and the only one that does this is the bottom right one.
Answer:
Bottom Right
Step-by-step explanation:
A function has only one y value for every x value. The upper left graph has many y values for the x value of 1, the bottom left graph has two y values for each x value and so does the upper right graph. the Bottom right graph is the only option with one y value for every x value.
Which graph has a correlation coefficient, r, closest to 0.75?
Answer:
option A
Step-by-step explanation:
to find the correlation coefficient by hand, first put your data pairs into a table....
Graph C indicates the graph which has a correlation coefficient, r, closest to 0.75.
What is Correlation Coefficient?Correlation coefficient of a data is the measure which indicates the strength of the linear relationship among two variables in a scatterplot.
Given are four graphs.
The range of values for correlation coefficient, r is from -1 to 1.
The value closest to -1 is considered weak linear relationship between the variables and value closest to 1 considered strong linear relationship between the variables.
Here the value of r is closest to 0.75.
Since it is closest to 1, the linear relationship is stronger. This means that the data points are more centered to form a line or they are close to each other.
Two such graphs are B and C.
Since r is 0.75, it is positive, So the relationship is positive.
So graph C is the correct one.
Hence graph C is the required graph.
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A lock requires a 3 number combination using the numbers 0 through 9, none of which may be repeated. How many outcomes are possible?
48
720
12010
Answer:
720
Step-by-step explanation:
The lock requires that repetition is not allowed.
The possibles numbers are 0 - 9, that is, 10 digits.
The first number in the combination can be picked from the 10 digits.
This means that there are 10 possible choices.
The second number in the combination can now only be picked from 9 digits.
This means that there are 9 possible choices.
The third number in the combination can now only be picked from 8 digits.
This means that there are 8 possible choices.
Therefore, the number of possible outcomes in the combination is:
10 * 9 * 8 = 720 outcomes
Simplify the expression:
6b – 2b+ 5b – 8
Answer:
9b-8
Step-by-step explanation:
6b+5b-2b-8
11b-2b-8
9b-8
What is the price called at which the quantity demanded is equal to the
quantity supplied?
Hola
Done
Clear
Ali
Select all the equations where y=10equals, is a solution.
Choose 2 answers:
A
y+11=22
B
8=18-y
C
60=6y
D
y/5=4
E
10y=20
Answer:
B and C
Step-by-step explanation:
A. y + 11 = 22 → subtract 11 from both sides:
y = 11
---------------------------------------------------------------------------
B. 8 = 18 - y → subtract 18 from both sides:
-10 = -y → divide both sides by -1:
10 = y
----------------------------------------------------------------------------
C. 60 = 6y → divide both sides by 6:
10 = y
-----------------------------------------------------------------------------
D. [tex]\frac{y}{5}[/tex] = 4 → multiply both sides by 5:
y = 20
-----------------------------------------------------------------------------
E. 10y = 20 → divide both sides by 10:
y = 2
Solve the equation for y: x = 2y - 3
Answer:
[tex]y = \frac{1}{2} x+\frac{3}{2}[/tex]
Step-by-step explanation:
What is the range of the function 2x + y = 7
if the domain is {-4, -2,0, 5, 7)?
Answer| range: {15, 11, 7, -3, -7}
Step-by-step explanation:
Plug in the domain to find the range:
x = 4
2(-4) + y = 7
-8 + y = 7
y = 15
x = -2
2(-2) + y = 7
-4 + y = 7
y = 11
x = 0
2(0) + y = 7
0 + y = 7
y = 7
x = 5
2(5) + y = 7
10 + y = 7
y = -3
x = 7
2(7) + y = 7
14 + y = 7
y = -7
Please help! Correct answer only!
A raffle has 1,000 tickets. One ticket will win a $830 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " ⇒ $ 0.830
Step-by-step explanation:
Consider the probability of entering 1 ticket out of the 1000 entered;
[tex]Total Tickets Entered - 1000 Tickets,\\Prize Won - 830 Dollars,\\Number of Tickets One Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 1000,\\Proportionality - 1 / 1000 = x / 830, If x = " Expected Payoff ",\\\\1 / 1000 = x / 830 - Cross Multiplication ,\\1000 * x = 830,\\x = 830 / 1000 = 0.830\\\\Conclusion ; x = 0.83[/tex]
Solution ; " Expected Payoff " ⇒ $ 0.830 ( might or might not include 0 at end )
What is the slope of the line that passes through the points (6,-10) and
(3, -13)? Write your answer in simplest form.
Answer:
1
Step-by-step explanation:
The slope intercept form for this problem is y = x - 16
write 3.25 x 10^4 as a ordinary number
Answer:
32500
Step-by-step explanation:
[tex]3.25 \times {10}^{4} = 3.25 \times 10000 \\ = 32500[/tex]
Answer:
32500
Step-by-step explanation:
3.25 x 10 to the power of 4 = 3.25 x 10000 = 32500
find the permimter of the quadrilateral if x=2 the perimiter is in inches the perimiters are (4x2+8x) (31 ) (7x+30) (3x2-5x+20)
Answer:
115
Step-by-step explanation:
4*2+8(2) = 24
31
7(2)+30 = 44
3*2-5(2)+20 = 6-10+20 = -4+20 = 16
24+31+44+16
115
what the answar for 9+4t=7t+15
Answer:
t= -2
Step-by-step explanation:
9+4t=7t+15
Subtract 4t from both sides
9=3t+15
Subtract 15 from both sides
-6=3t
3t= -6
Divide both sides by 3
t= -2
I don't understand this math problem need help plz!
Answer:
A' (-4, - 7), B' (-5, -4), C' (-4, -3), D' (-3, -4)
Step-by-step explanation:
When rotating about the origin at an angle of 90° in the counterclockwise direction, the given values of (x, y) are interchanged with y also taking a negative sign. That is ;
(x, y) - - - -> (-y, x)
Therefore, in the question above ;
Translation = (x-2, y+3)
A =(-5, 1) = (-5 - 2, 1 + 3) = (-7, 4) - - -> A' = (-4, - 7)
B =(-2, 2) = (-2 - 2, 2 + 3) =(-4, 5) - - -> B' = (-5, -4)
C =(-1, 1) = (-1 - 2, 1 + 3) = (-3, 4) - - -> C' = (-4, -3)
D =(-2, 0) = (-2 - 2, 0+3) =(-4, 3) - - -> D' = (-3, -4)