Answer: OPTION 1
Step-by-step explanation:
For this exercise you need to remember that, by definition, the Arc length can be calculated with the following formula:
[tex]arc\ length=rC[/tex]
where "C" is the central angle of the arc in radians and "r" is the radius.
Since you need to find the Central angle, you have to solve for "C" from that formula, as following:
[tex]C=\frac{arc\ length}{r}[/tex]
According to the information given in the exercise, you can identify that:
[tex]arc\ length=100\ m\\\\r=60\ m[/tex]
Therefore, the final step is to substitute these values into the formula and evaluate, in order to find the value of "C":
[tex]C=\frac{100\ m}{60\ m} \\\\C=\frac{5}{3}\ rad[/tex]
8. Justin sells brownies for $2 each and
cupcakes for $3 each. Justin sells a total of
100 brownies and cupcakes for $240. Write
and solve a system of linear equations to find
the number of brownies and the number of
cupcakes Justin sold.
Answer:
2x + 3y = 240
x + y = 100
Step-by-step explanation:
hope this helps
Mary more likely to draw a red ball followed by a green ball or a blue ball among the first two balls to be drawn?
A. Mary is more likely to draw a blue ball among the first two balls to be drawn, because
OB. Mary is more likely to draw a red ball followed by a green ball, because
C. Mary is more likely to draw a red ball followed by a green ball, because
OD. Mary is more likely to draw a blue ball among the first two balls to be drawn, because
Reset
Next Question
Answer:
c
Step-by-step explanation:
beacuse in the question it says mary is more likley to draw a green ball after a red ball
Which expression is modeled by this set of arrows on the number line
-6 divided by (- 3) -6 divided by 3
6 divided by (- 3)
6 divided by 3
Answer:
A
Step-by-step explanation:
they are both -
Answer: I think It is B) because it's definitely not C). But it could also be A like the answer above said. (I'm very very sorry if it's not correct!)
B) -6÷3 ?
Graph the system of linear equations.
{x=0
{y=1/2
Which of the following points is the one true solution?
A)( 1/2,0)
B)(1/2,1/2)
C)(0, 0)
D)(0,1/2)
Answer:its d i hope i helped
Step-by-step explanation:
Answer:
The answer is (0,1/2)
Step-by-step explanation:
Think of how you would put x y if you had a chart x on the left and y on the right, hope this helps :^)
Tysm for all the help i will reply!
Hi there! Hopefully this helps!
--------------------------------------------------------------------------------------------
The Answer: a decline in prices.
The cube root shown has been written as a product where one of the factors is a perfect cube. RootIndex 3 StartRoot 162 EndRoot = RootIndex 3 StartRoot 27 EndRoot times RootIndex 3 StartRoot 6 EndRoot The simplest form of RootIndex 3 StartRoot 162 EndRoot is a RootIndex 3 StartRoot b EndRoot, where a = b = .
Answer:
a=3 b=6
Step-by-step explanation:
The cube root of 162 has been factored into the cube root of 27 and the cube root of 6. The simplest form is thus 3 times the cube root of 6, so a = 3 and b = 6.
Explanation:The student is working on finding the cube root of 162 and has already correctly factored this into the cube root of 27 times the cube root of 6. To simplify this, we recognize that 27 is a perfect cube (3³), so the cube root of 27 is 3. Therefore, the simplest form of ∛162 can be written as:
∛162 = ∛27 × ∛6
This simplifies to:
3 × ∛6
Where the ∛ symbol represents the cube root. As such, in the form ∛a∛b, where 'a' is the cube root of a perfect cube and 'b' is the remaining factor, we have a = 3 and b = 6 for this equation.
162 was factored into a product of 27 (a perfect cube) and 6, which cannot be further simplified in terms of cube roots.
19. Thomas has a recipe for punch that calls for 2 quarts of juice and 3 quarts of soda.
He wants to
modify this recipe to make more punch but wants the same ratio of juice to soda. He has 5
quarts of juice. How much soda should he use in his punch?
NO
in icbaring
tor marked 100% off The original nrica of the cioater is on
Answer:
7.5 quarts of soda
Step-by-step explanation:
Kindly refer to the attached image for explanations
If chord AB is congruent to chord BC, what is the measure of BOC?
O A. 86°
OB. 43
O C. 1330
O D. 470
Answer:
B
Step-by-step explanation:
The central angles determined by the congruent chords are equal in measure, thus
∠ BOC = ∠ BOA = 43° → B
The measure of BOC is 43°.
What is congruent?
In geometry, two figures or gadgets are congruent if they have identical shapes and sizes, or if one has an equal shape and size as the replicated picture of the alternative.
What is an example of congruent?The word 'congruent' method 'precisely same' in phrases of shape and length. Even if we turn, turn, or rotate the shapes, they stay identical. for example, draw two circles of the equal radius, then reduce them out and region them on one another.
Learn more about congruent here https://brainly.com/question/1675117
#SPJ2
a beetle is 1.8cm long. a drawing of the beetle is made using a scale of 5:1. what is the length of the beetle in the drawing?
Answer: The length of the beetle in the drawing is 9 cm.
Step-by-step explanation:
Hi, since is a scaling up scale, we have to multiply the original length of the beetle (1.8 cm) by 5 to obtain the length of the beetle in the drawing.
Mathematically speaking
5 x 1.8 = 9 cm
The length of the beetle in the drawing is 9 cm.
This type of scale is used to increase in size.
Feel free to ask for more if needed or if you did not understand something.
what is the length of AB????
can some please help it’s due in 10 mins
Make x the subject of:
2x + a = b (x - 2)
Answer:
no solution
Step-by-step explanation:
Write the formula for absolute value function if its graph has the vertex at point ( 1/3 ,−3) and passes through the point (1,1).
Answer:
y=|6x-2|-3
Step-by-step explanation:
I can see y=|x-1/3|-3 is a tempting answer, it does have its vertex at (1/3,-3) but it doesn't go through (1,1). This graph needs to be steeper, so we need to multiply x and the -1/3 coefficient next to it.
We multiply x and -1/3 each by 6, and boom! The graph goes through (1,1) and the vertex is still maintained at (1/3,-3) The -3 outside of the function doesn't change because the vertex's y-coordinate is -3, so it must stay the same.
The formula for the absolute value function with the vertex at ([tex]\frac{1}{3}[/tex], -3) and passing through (1, 1) is f(x) = 6|x - [tex]\frac{1}{3}[/tex]| - 3.
To write the formula for an absolute value function with a given vertex and point, we can use the standard form of an absolute value function, which is f(x) = a|x - h| + k, where (h, k) is the vertex of the function. In your question, the vertex is at the point ([tex]\frac{1}{3}[/tex], -3) and the function passes through the point (1, 1).
We can start by substituting the vertex into the formula, which gives us f(x) = a|x - [tex]\frac{1}{3}[/tex]| - 3. To find the value of 'a', we use the fact that the function also passes through the point (1, 1). Substituting x = 1 into the formula gives us 1 = a|1 - [tex]\frac{1}{3}[/tex]| - 3 → 1 = a([tex]\frac{2}{3}[/tex]) - 3 → a = 6. So, the function formula is f(x) = 6|x - [tex]\frac{1}{3}[/tex]| - 3.
the diameter of a sphere is 4 centimeters which represents the volume of the sphere 32/3 cm
Answer: 32 cm
Step-by-step explanation:
Hi, the options of the questions are •
32 cm
87 cm
54 cm
167 cm
The formula for the volume of a sphere is
V = 4/3 πr³
Where r is the radius.
Since the radius is equal to the diameter divided by 2:
r = d/2= 4 /2 = 2 cm
Replacing in the formula
V = 4/3 π 2³
Solving
V = 4/3 π 8= 33.51 cm
So, the correct option is 32 cm, which closest to the value.
Feel free to ask for more if needed or if you did not understand something.
What is the value of the expression modeled by the decimal grids?
Answer:
The value of the expression modeled by the decimal grids is 4.13
Step-by-step explanation:
Question is incomplete (the decimal grids are missing; see attachment for complete question).
Few points to be noted when reading a decimal grid are.
1. The scale of the grid
2. The ratio of the shaded region to the whole region
3. A fully shaded grid represent 1.
The scale of the grids in this question is a 10 x 10 grid.
10 * 10 = 100
Meaning that there are 100 squares in a grid
Having said this, well proceed to getting the decimal value of each individual grids.
For grids before the addition sign (+)
The first grid is fully shaded; so, it'll be represented with 1
The second grid is also fully shaded; thus, it'll also be represented with 1
The third grid has some of its region shaded; 23 of the 100 squares are shaded.
So, the third grid = 23/100 = 0.23
The Summation of the grids before the addition is 1 + 1 + 0.23 = 2.23
We move to the grids after the addition sign.
The first grid is fully shaded; so, it'll be represented with 1.
The second grid has some of its region shaded; 90 of the 100 squares are shaded.
So, the second grid = 90/100 = 0.90
The Summation of the grids after the addition sign is 1 + 0.90 = 1.90
Now, we can properly represent the grids in decimal forms.
This will be represented as
2.23 + 1.90
And that's equal to
4.13
Hence, the value of the expression modeled by the decimal grids is 4.13
please help this is the last question then im done please i will gib branliyest please
April and May both took out loans to purchase a $25,000 car. April borrowed
$25,000 at 4% simple interest for 5 years. May borrowed $25,000 at 3.75% simple
interest for 6 years. What is the difference in the amount of interest owed?
Answer:
$625
Step-by-step explanation:
-This is a simple interest problem of the form:
[tex]I=Prt[/tex]
where:
[tex]I[/tex] is the total interest earned in time t[tex]P[/tex] is the principal amount[tex]r[/tex] is the simple rate of interest#The respective interests can then be calculated as follows:
[tex]I_{April}=Prt\\\\=25000\times \frac{4}{100}\times 5\\\\=5000\\\\I_{May}=Prt\\\\=25000\times \frac{3.75}{100}\times 6\\\\=5625\\\\\\\bigtriangleup I=I_{May}-I_{April}\\\\=5625-5000\\\\=\$625[/tex]
Hence, the difference in the amount of interest is $625
The isosceles triangle has a base that measures 14 units.
The value of y, the length of each leg, must be
equal to 7.
between 7 and 14.
greater than 7
between 14 and 28.
Answer:
Between 7 and 14
Step-by-step explanation:
Write the coordinates of point A after dilation with a scale factor of 3, centered at the origin.
Given:
Given that the graph of the triangle ABC.
The coordinates of the triangle are A(2,-1), B(-1,1) and C(1,-2)
We need to determine the coordinates of the point A after the dilation with a scale factor of 3 centered at the origin.
Coordinates of the point A after dilation:
The general rule for a coordinate to dilate a factor of c from the origin is given by
[tex](x, y) \rightarrow (cx, cy)[/tex]
Thus, applying the above rule, the coordinate A(2,-1) is dilated by a scale factor of 3 about the origin, we get;
[tex](2,-1)\rightarrow (3(2), 3(-1))[/tex]
Simplifying, we get;
[tex](2,-1)\rightarrow (6,-3)[/tex]
Thus, the coordinates of point A after dilation with a scale factor of 3 centered at the origin is (6,-3)
A computer randomly selects a number from the given set.
11.2.5. 10. 25, 30, 36}
What is the probability that an even number is sele
Enter your answer as a fraction, in simplest form, in the box.
P(even)=
Step-by-step explanation:
Given
{ 11 , 2 , 5 , 10 , 25 , 30 , 36}
No of sample space, n(s) = 7
Even numbers = 2 , 10 , 30 ,36
No of favourable cases, n(e) = 4
Now
Probability that an even number will be selected is, P(even) = n (e) / n(s)
= 4/ 7
Hope it will help you :)
Is this relationship linear, exponential, or neither ?
Exponential
Step-by-step explanation:
So let’s start off by looking at how much x is growing by each time
X is growing by 8 each time
Next look at how much y is growing by
-6 to -24 is a difference of 18
-24 to -96 is a difference of 72
And lastly -96 to -384 is a difference of 288
So we can now say that it is not linear because a linear equation grows by a constant number (like adding)
To determine if it is exponential see if it is growing by a constant multiplier
24 divided by 6 is 4
96 divided by 24 is 4
384 divided by 96 is 4
It is exponentially growing by 4
e. These are loans that accrue interest from the day you get them and they have a fixed
interest rate of 6.8%.
Answer:
Step-by-step explanation:
Sounds like "continuous compounding."
Here, A = Pe(0.068t), where t is the number of years.
Final answer:
Subsidized Stafford Loans are for undergraduates with financial need and the government pays the interest while in school. Unsubsidized Stafford Loans are for all students and accrue interest immediately. Private loans often have variable interest rates and are less advantageous than federal loans.
Explanation:
Subsidized Stafford Loans are offered to undergraduate students with financial need, and the interest is paid by the government while the student is in school, during deferment periods, and for six months after graduation, commonly referred to as the grace period. The interest rate is fixed and typically lower than that of unsubsidized loans. The maximum loan amount varies, but it can go up to $12,500 per year of schooling.
Unsubsidized Stafford Loans do not require demonstrating financial need and are available to both undergraduate and graduate students. Interest accrues from the time the loan is disbursed, and the student is responsible for all of it, including while they are in school. Like subsidized loans, they also have a fixed interest rate and a maximum loan amount of up to $12,500 per year for undergraduates and $20,500 per year for graduate students.
Private loans are provided by banks, credit unions, or other financial institutions and can have variable interest rates, which means the rate may increase or decrease over time. Private loans are less favorable compared to federal loans due to higher interest rates and less flexible repayment options.
Other options like Direct PLUS Loans and Direct Consolidation Loans are also available for specific student populations and situations. PLUS Loans are for graduate or professional students and parents, whereas Consolidation Loans allow combining federal loans into one.
Since federal loans offer lower interest rates and more flexible repayment terms than private loans, they are generally the preferred choice for students. Aid offices often guide students to preferred lenders, but it's essential to understand all options and choose loans wisely.
Which number below best represents a positive charge of 1,350?
A. -1,250
B. 1,350
C. -1,350
D. 1,250
Final answer:
The number that best represents a positive charge of 1,350 is B. 1,350. Positive charges are indicated by numbers without a negative sign and the magnitude of charge is always represented as a positive value.
Explanation:
The number that best represents a positive charge of 1,350 is B. 1,350. Positive charges are indicated by numbers without a negative sign. As the question specifies a positive charge, the correct choice is the one without a minus in front of the number, therefore, option B is correct. This choice directly corresponds with the charge being positive, as indicated in the options provided.
It is important to note that the magnitude of charge is independent of its type, meaning that the numerical value of a charge represents its magnitude and is always positive, irrespective of whether the charge itself is positive or negative. An example in physics would be the charge of an electron which is -1.602 × 10-19 C, whereas a proton has a charge of +1.602 × 10-19 C, both having the same magnitude of charge but different signs.
There are 6 houses on a small street. Each house has
a family with 4 children, 2 cats and a dog.
1. How many children are there living on this street?
2. How many pets are there living on this street?
Answer:
There are 24 children living on the street. There are 18 pets living on the street.
Step-by-step explanation:
The answer is 24 chilren because you have to multiply the amount of children and the amount of houses in the street. When you do that you get 24.
There are 18 pets living on the street because in total 3 pets are living in EACH house. 6×3=18.
Jeff has $ 8 and he needs to pay his sister $ 3 . How much will he jeff have after paying his sister ?
Answer:
5
Step-by-step explanation:
if he has 8 and gives 3 to his sister he will be left with 5 later
Use the diagram to find the measures of all the angles, given that m∠2=159∘.
Answer:
m∠1=21°, m∠2=159°, m∠3=21°, m∠4=159°
Step-by-step explanation:
All of the angles added up = 360°
We know that angles 2 and 4 are the same, due to angle rules.
If all of the angles, added up, equal 360, and angles 2 and 4 are equal, we have an equation. Note: m∠2=159°
159+159+x+x=360 *x represents the measure of both angles 1 AND 3, since they are identical*318+x+x=360318+2x=360subtract 318 from BOTH sides2x=42divide BOTH sides by 2x=21m∠x represents the measure for angle 1, along with the measure of angle 3.HOPE THIS HELPED! Brainliest??
Given that m∠2=159∘, any vertical angle to it will also measure 159∘. Use the angle sum property of triangles to calculate any other angle in a triangle.
Explanation:To find the measure of all the angles in the diagram, you'll have to use your understanding of angle relationships. Since you've been provided that m∠2=159∘, you can use this to calculate the measures of the rest. When dealing with a pair of vertical angles, remember that they are equal. Therefore, if m∠2=159∘, then its vertical angle will also measure 159∘. Also, using the angle sum property of triangles, which states that the sum of all interior angles of a triangle sum to 180∘, you can calculate the missing angles if the diagram indicates a triangle.
Learn more about Angle Measurements here:https://brainly.com/question/33833061
#SPJ3
During the sale, the price of the video camera was marked down 14%. The sale price of the video camera was $744.57. What was the original price of the video camera?
Answer:
848.81
Step-by-step explanation:
find 14 percent of 744.57 then add that to 744.57
The original price of the video camera was $866.50.
Explanation:To find the original price of the video camera, we can use the following equation:
Original price - (14% of original price) = Sale price
Let's assign the variable x to represent the original price. We can set up the equation:
x - 0.14x = $744.57
Simplifying the equation, we get:
0.86x = $744.57
Dividing both sides of the equation by 0.86, we find that:
x = $866.50
So, the original price of the video camera was $866.50.
Learn more about original price of the video camera here:https://brainly.com/question/34291314
#SPJ12
please solve the highlighted question
Answer:
1, 3, 4, 2
Step-by-step explanation:
1 = 2.78
2 =3.78
3 = 2.8
4 =3.42
In ∆ABC, ∠A is a right angle and m∠B = 45°. Find BC.
3 sides of the triangle ABC and the side A is a right angle 11ft
11 ft
11/2 ft
/22 ft
2/11ft
Answer:
22ft
Step-by-step explanation:
Of the students at Grant Middle School, 63% are girls. The school newspaper is rendomly selecting a student to be interviewed. Describe the complement of selecting a girl and find the probability of the complement. Write the answer as a fraction, decimal, and percent
Answer:
The complement as fraction = 37/100
As decimal = 0.37
As percentage = 37%
Step-by-step explanation:
Please kindly see the attached for more
Can anyone help me with this please?
Answer:
2.5 right?
Step-by-step explanation: