Represent Jacey wrote an equation to
find an angle measure. What do a and b
stand for in Jacey's equation?
360° divided by a=b
Her we know that Jacey wrote an equation to find an angle measure. The equation is as follows:
[tex]\frac{360^{\circ}}{a}=b[/tex]
So, if the angle 360° is a central angle, that is, an angle between two radii in a circle, then:
a: Represents the number of equal parts parts the circle is divided
b: Represents the measure of the central angle of each part
For example, suppose you have a circle and want to divide it into six parts, then, the central angle of each part of the circle will measure 60 degrees as indicated in the figure below.
If f(x) = 2x^2 and g(x)= x^2 + 2x, which expression represents f(g(x))?
A) 2x^4 + 4x^2
B) 4x^4 + 4x^2
C) 2x^4 + 8x^2
D) x^4 + 4x^3 + 4x^2
E) 2x^4 + 8x^3 + 8x^2
What is the slope of a line y=7.8x+62
Answer:
m = 7.8
Step-by-step explanation:
Its the slope. Its the number next to the x.
The path of a rotating fan has a diameter of about 18 inches and a circumference of about 56 inches. The path of a smaller model of the fan has a circumference of about 9 inches. What is the diameter of the rotating path of the smaller model? Round the nearest tenth.
Step-by-step explanation:
Proportionately the smaller diameter
18×9=162
162/56=2.89 inches
round it so it's approx 3 inches
Find the area of a triangle with base b and helght . Round your answer to the nearest hundredth If necessary b = 14.3ml h = 10.7mi
Answer:
76.505------>76.51 ml^2
Step-by-step explanation:
14.3 x 10.7 = 153.01
153.01/2 = 76.505
round to nearest hundredth
While mining, Joan found a large metal bar that weighted 40 grams. Joan was able to determine that the bar contained 35% zinc. How many grams of zinc are in the metal bar? Round you answer to the nearest whole number if necessary.
Answer:
14g zinc
Step-by-step explanation:
To get the mass of zinc in the metal bar, you can multiply the percentage of zinc by the total mass.
40g x .35 = 14g zinc
The metal bar contains 14 g zinc in the 40 grams metal bar.
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: A metal bar weighs 40 grams and it contains zinc equivalent to 35%
Let the weight of the zinc contained in the metal be x
Then we have x=35/100×40
=14 grams
Hence, The metal bar contains 14 g zinc in the 40 grams metal bar.
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Sophia uses 1/2 pound of white flour to make
one loaf of bread and 1/4 pound of cake flour to
make one cake. Which shows how many cakes
and loaves of bread Sophia can make with the
amount of flour that she has?
I give lot of points
Sophia can make 12 cakes and 4 loaves of bread.
The right answer is Option A.
Step-by-step explanation:
Given,
White flour used for one loaf of bread = 1/2 pound
White flour available = 2 pounds
Cake flour used to make one cake = 1/4 pound
Cake flour available = 3 pounds
We will divide the available amount by the amount used for one.
No. of loaves of bread = [tex]\frac{2}{\frac{1}{2}}=2*2[/tex]
No. of loaves of bread = 4
No. of cakes = [tex]\frac{3}{\frac{1}{4}}=3*4[/tex]
No. of cakes = 12
Therefore,
Sophia can make 12 cakes and 4 loaves of bread.
The right answer is Option A.
3. An online video game tournament begins with 1024 players. Four players play in each
game. In each game there is only one winner, and only the winner advances to the
next round. How many games will the winner play?
Answer:
The winner play 341 games.
Step-by-step explanation:
An online video game tournament begins with 1024 players.
Four players play in each game
It forms GP : [tex]\frac{1024}{4}=256 , \frac{256}{4}=64 , \fra{64}{4}=16 , \frac{16}{4}=4 , \frac{4}{4}=1[/tex]
So, GP: 256, 64,16,4 , 1
First term = a = 256
Common ratio = [tex]\frac{64}{256}=\frac{4}{16}=\frac{1}{4}[/tex]
Formula of nth term =[tex]a_n=ar^{n-1}[/tex]
[tex]1 = 256 (\frac{1}{4})^{n-1}[/tex]
[tex]\frac{1}{256}=(\frac{1}{4})^{n-1}[/tex]
[tex](\frac{1}{4})^9=(\frac{1}{4})^{n-1}[/tex]
4=n-1
5=n
So, Sum of first n terms=[tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
Substitute n = 5
[tex]S_5=\frac{256(1-(\frac{1}{4})^5)}{1-\frac{1}{4}}[/tex]
[tex]S_5=341[/tex]
Hence the winner play 341 games.
The winner will play 10 games.
Explanation:With 1024 players for the first round, each game will have 4 players. Since there can only be one winner per game, the winner of each game will advance to the next round. To determine the number of games the winner will play, we need to find out how many rounds there will be. In each round, the number of players is halved until only one player remains. Therefore, the number of rounds is equal to the logarithm base 2 of the initial number of players. So, the winner will play a total of log2(1024) = 10 games.
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A motorcycle travels 230 miles on 4 gallons of gasoline.
How far can the motorcycle travel on 5.5 gallons?
Answer:
50 miles per gallon
Explanation:
225 miles divided by 4.5 gallons will give the miles per gallon.
225
4.5
=
50
miles per gallon
Step-by-step explanation:
Answer: i think its 316.25
Step-by-step explanation: i divided 230 and 4 which gives you 57.5 then i multiplied that with 5.5 and i got 316.25
Which is a correct classification for the triangle?
equiangular triangle
acute triangle
right triangle
obtuse triangle
Answer:
acute
Step-by-step explanation:
What is the value of x in the proportion (x - 1)/5 = (4x + 2)/35?
Answer:
x=3
Step-by-step explanation:
1. cross multiply to get
5(4x+2)= 35(x-1)
2. distribute
20x+10=35x-35
3. combine like terms
45=15x
4. divide :)
3=x
Answer:
x = 3
Step-by-step explanation:
(x - 1)/5 = (4x + 2)/35
to find the value of x
the first thing to do is to cross multiply
from this ,
(x-1)/5 = (4x + 2)/ 35
35(x-1) = 5( 4x + 2)
35x - 35 = 20x + 10
we are going to collect the like terms
35x -20x = 10 + 35
15x = 45
we are going to divide both sides by the coefficient of x which is 15
we have,
15x/15 = 45/15
x = 3
therefore the value of x = 3
to check if your answer is correct, put the value of x and slot it into one of the equations.
35x - 35 = 20x + 10
35(3) - 35 = 20(3) + 10
105 - 35 = 60 + 10
70 = 70........................ proved.
Equation for 6422 divided by 26
Answer:
247
Step-by-step explanation:
Answer:
6422÷26=247
Step-by-step explanation:
Which expression shows the correct way to find the distance between
(23,17) and (43,14)? ( TTM)
Answer:
d=[tex]\sqrt{x} (43-23)^2+(14-17)^2[/tex]
Answer= 20.224
Step-by-step explanation:
Answer:
thats teh answer
Step-by-step explanation:
What is the answer?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Simplify the expression
6x^2+20/4
Answer:
6x2+5
Step-by-step explanation:
Which equation is the inverse of y = x2 – 36?
O y=+√x+6
y=1\x+36
2 y=+ X + 36
y=+Vx2+36
Answer:
y=1\x+36
Step-by-step explanation:
What is the 15th term in the sequence using the given formula?
yn = 12n-1
Answer:
Step-by-step explanation:
hello :
yn = 12n-1
the 15th term is :y15 when x= 15
y15 = 12(15)-1
y15 = 179
What number is ten times greater than 0.3
Answer: 3
Step-by-step explanation:
The number ten times greater than 0.3 will be 0.3 in ten places
= 0.3 x 10
=3
I hope this helps.
Answer:
The number is 3
Step-by-step explanation:
Step 1: Convert words into an expression
What number is ten times greater than 0.3
n = 10 * 0.3
Step 2: Multiply
n = 10 * 0.3
n = 3
Answer: The number is 3
Ronda's car is valued at $24,000, and she owes $22,000 on it. What is her
current equity?
O
A. $46,000
O
B. $2000
O
C. $4000
O
D. $24,000
Answer:
b. $2000
Step-by-step explanation:
yo just need to take away the smaller from the bigger number..
Answer:
Answer B:$2000
Is her current equity
Marisol has 64 ounces of lemonade to sell. She divides it into 4 ounce cups. Then she sells 13 cups. How many cups of lemonade does she have left?
Show Your Work
Answer:
3 cups
Step-by-step explanation:
first, divide the number of ounces (64) by the ounces in the cups (4). you get 16. 16 represents the total amount of cups.
we know that she sold 13 cups and the question asks how many cups she has left. so you subtract 16 and 13 and ur final answer is 3
8. A company sells concrete in batches of 5 cubic yards. The probability distribution of X, the number of cubic
yards sold in a single order for concrete from this company, is shown in the table below.
|
X = the number of cubic yards
Probability
10
10.15
15
0.25
20
0.25
25
0.30
30
0.05
The expected value of the probability distribution of X is 19.25 and the standard deviation is 5.76. There
is a fixed cost to deliver the concrete. The profit Y, in dollars, for a particular order can be described by
Y = 75X - 100. What is the standard deviation of Y?
(A) $332.00
(B) $432.00
(C) $532.00
(D) $1,343.75
(E) $1,400.00
Answer:
$432
Step-by-step explanation:
75(5.76)=432
The standard deviation of Y is $432 and this can be determined by using the formula of standard deviation and the given data.
Given :
A company sells concrete in batches of 5 cubic yards. The probability distribution of X, the number of cubic yards sold in a single order for concrete from this company, is shown in the table below.The expected value of the probability distribution of X is 19.25 and the standard deviation is 5.76. There is a fixed cost to deliver the concrete. The profit Y, in dollars, for a particular order can be described by (Y = 75X - 100).The formula to obtain the standard deviation is given below:
SD(Y) = SD(75X - 100)
Simplify the above expression by substituting the value of SD(X) and SD(100) in the above expression.
SD(Y) = 75SD(X) - SD(100)
SD(Y) = 75 SD(X) - 0
SD(Y) = 75 [tex]\times[/tex] 5.76
SD(Y) = $432
Therefore, the correct option is B).
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Find the complex conjugate of 14+ 12i
Answer:
14 - 12i
Step-by-step explanation:
Given the complex number a ± bi, then the complex conjugate is
a ∓ bi
Note that the real part a remains unchanged while the sign of the imaginary part is reversed.
Given 14 + 12i then the conjugate is 14 - 12i
includes the points (-6 , n) and (-8, -9) has a slope of 4 what is the value of n?
Step-by-step explanation:
[tex]slope \: = \frac{n - ( - 9)}{ - 6 - ( - 8)} \\ \\ \therefore \: 4 \: = \frac{n + 9}{ - 6 + 8} \\ \\ \therefore \: 4 \: = \frac{n + 9}{ 2} \\ \\ \therefore \: 4 \times 2= n + 9 \\ \\ \therefore 8= n + 9 \\ \\ \therefore \: n = 8 - 9 \\ \\ \huge \red{ \boxed{\therefore \: n = - 1}}[/tex]
-2x(3x - 4) = 0 Write the equation in standard form.
Answer:
x=0
Step-by-step explanation:
First, we expand.
-2x(3x-4)=0
-6x+8x=0
2x=0
x=0
Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is
55° . What is the height of the flagpole if the distance from his eyes at the ground to the base of the flagpole is
400 ft? Round to the nearest foot.
550
400 ft
Answer:
Height of flagpole = 571 ft
Step-by-step explanation:
Given:
Angle of elevation to the top of the flagpole is 55° .
Distance from the eyes to the base of flagpole = 400 ft.
To find the height of the flagpole.
Solution:
We can draw the situation as a right triangle as shown below.
In triangle ABC.
[tex]BC=400\ ft[/tex]
∠C= 55°
To find the length AB (height of the flagpole).
Applying trigonometric ratio :
[tex]\tan\theta=\frac{Opposite\ side}{Adjacent\ side}[/tex]
[tex]\tan C=\frac{AB}{BC}[/tex]
Plugging in values.
[tex]\tan 55\°=\frac{AB}{400}[/tex]
Multiplying both sides by 400.
[tex]400\tan 55\°=\frac{AB}{400}\times 400[/tex]
[tex]571.26=AB[/tex]
∴ [tex]AB\approx 571\ ft[/tex]
Height of flagpole = 571 ft
Final answer:
The flagpole's height is approximately 571 feet when rounded to the nearest foot.
Explanation:
To find the height of the flagpole, we use the angle of elevation and the distance from the observer to the flagpole's base, which forms a right-angled triangle. We can calculate the height of the flagpole by using the tangent function:
Tan(55°) = (height of the flagpole) / 400 ft
Therefore,
(height of the flagpole) = tan(55°) * 400 ft
A calculator can be used to find that tan(55°) approximately equals 1.4281.
Multiplying this by 400 gives the height of the flagpole:
Height of the flagpole = 1.4281 * 400 ft
Height of the flagpole ≈ 571.24 ft
When rounded to the nearest foot, the height of the flagpole is approximately 571 feet.
Add: 43 + ( -13)
Will mark show work if correct
The answer to this problem is 30.
Step-by-step explanation:
43+-13
=30
Check: 43-13 also =30.
So the answer to this equals 30.
Solve.
The cost of having a package delivered by Quick Bicycle
Delivery is a function of the weight of the package. The
graph of this function is shown
What does the slope
represent in the
function?
Cost of Delivery
25
Weight (lb)
Tell whether each statement is True or False.
a. When the weight is greater
than 15 pounds, the cost
will be greater than $10.
b. An equation that represents
this graph is y * +0.6.
c. The slope is 1
d. The cost of delivery decreases
by $0.60 for each pound the
weight decreases
o True
True
True
I False
False
False
True
False
Answer:
Step-by-step explanation:
true
true
false
true
true
false
true
false
Eric needs to find the area of the base of a
cylinder. Which formula will help him
Answer:
πr2
Step-by-step explanation:
If you want to find the base of a cylinder, the formula is AB=πr2.
Answer:
AB=πr2
Step-by-step explanation:
If y
per
wha
If you roll a number
cube 50 times, how
many times do you
expect to roll a
number less than 3?
seci
Answer:
8.333
Step-by-step explanation:
50 (times)/ 6 (amount of numbers possible on cube)
|x−y+z| if x=3; y=−2; z=−6
Answer:
1 is the answer
Step-by-step explanation:
[tex] |x - y + z| = |3 + 2 - 6| \\ = | - 1| = 1[/tex]