An arc of 10 meters is formed by a central angle A on a circle radius 4. The measure of A In degrees (to two decimal places) is___.
A. 143.24
B. 36.76
C. 2.50
D. 216.76
Answer:
arc length = circumference • [central angle (degrees) ÷ 360]
central angle (degrees) = 360 * arc length / circumference
circumference = PI * 2 * 4 = 25.1327412287
central angle (degrees) = 360 * 10 / 25.1327412287
central angle (degrees) = 143.2394487828
answer is A--------
Select the correct answer. Which graph represents this inequality? y ≥ 4x − 3
Step-by-step explanation:
You didn't put the graph, but you can compare between your graphs and the picture.
Brainliest please
The graph that represents this inequality y ≥ 4x − 3 is attached below.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
We are given that the inequality is;
y ≥ 4x − 3
The slope of the inequality is 4.
The equation of the red line is y = 4x − 3
The shading is above the line and the line is solid, that means y is greater than or equal 4x − 3
The graph of this inequality y ≥ 4x − 3 is attached below.
Learn more about inequalities here:
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Foot Locker is having a 60% off sale on shorts. John paid $18 for a pair of shorts that were on sale. What was the original price of the shorts?
Answer:
=$45
Step-by-step explanation:
$18=40%
18÷4=4.5
$4.5=10%
4.5×10=45
$45=100%
The common ratio of a geometric sequence cannot be:
a) 3 b) 1
c) 2 d) 0
Help I don’t get this
Answer:
Step-by-step explanation:
5t² + 4t = 5t² + 4 if and only if t=1.
A zero coefficient makes the value of the term equal to zero.
Answer: 5t to the second power and 5t to the second power. I don't know the answer to b.
Step-by-step explanation:
Find COS Instructions: Find the value of the trigonometric ratio. Make sure to simplify the If needed
Rocco has a garden and an oak tree. The oak tree is 15 times as old as the garden. The sum of their ages is 128 years. How old is each the garden and tree?
9514 1404 393
Answer:
garden: 8 yearstree: 120 yearsStep-by-step explanation:
Let g represent the age of the garden. Then the age of the tree is 15g. The sum of their ages is ...
g +15g = 128
16g = 128 . . . . . collect terms
g = 128/16 = 8 . . . . divide by the coefficient of g
The garden is 8 years old; the tree is 120 years old.
There are four people in Haydens family. Each person always eats 3/4 of a cheese pizza. How many whole pizzas should they order?
Solve and Draw a picture to solve the problem.
Write and equation that matches this problem
The equation that matches the problem is: Total pizzas = 4 × (3/4). Hayden's family should order 3 whole pizzas.
To solve this problem, we need to find the total number of pizzas needed for Hayden's family. Since each person eats 3/4 of a pizza, we can multiply this fraction by the number of people in the family:
Total pizzas = 4 × (3/4) = 12/4 = 3
Therefore, Hayden's family should order 3 whole pizzas.
As for the picture, imagine a circle representing a whole pizza. Divide it into four equal parts to represent each person's portion (3/4). Repeat this division three times to represent the three pizzas needed.
for such more question on fraction
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If the length is 10 cm and the width of a rectangle is 3cm , what is the area
Answer: 30cm
Step-by-step explanation:
The area of a rectangle is determined by length times width
Equation: A=LW
10cm×3cm = 30cm
2/3 divided by what equals 1
Find the volume of a cone whose height is 12 and whose radius is 4. Use 3.14 for Pi and round your final answer to one decimal place.
Answer:
201.088 cubic units
Step-by-step explanation:
Given data
height= 12 units
radius= 4 units
The expression for the volume of a cone is given as
Volume = 1/3*πr^2h
Substitute the given data to find the volume of the cone
Volunme= 1/3* 3.142* 4^2* 12
Volume = 1/3* 3.142* 16*12
Volume= 1/3* 603.264
Volume= 201.088 cubic units
I don’t know how to do this
Answer:
8 = h
Step-by-step explanation:
see attached photo for explanation
6
1
10 points
Find the probability that a randomly selected person's birthday is not in May. Ignore leap years.
31
334
31
365
334
365
11
2
3
12
Previous
Answer:
c. [tex]\frac{334}{365}[/tex]
Step-by-step explanation:
May has 31 days and a normal year is 365 days, so the probability is [tex]\frac{31}{365}[/tex]
The probability that isn't in May is: 1 - [tex]\frac{31}{365}[/tex] = [tex]\frac{334}{365}[/tex]
Let P(1,2,1), Q(1,0,-1), R(2,2,0) be the vertices of a parallelogram with adjacent sides PQ and PR. Find the other vertex S.
Given:
The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).
PQ and PR are the adjacent sides of the parallelogram.
To find:
The coordinates of vertex S.
Solution:
We know that, the diagonals of a parallelogram bisect each other.
Let the coordinates of the vertex S are (a,b,c).
In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.
[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)[/tex]
[tex]\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{1+a}{2}=\dfrac{3}{2}[/tex]
[tex]1+a=3[/tex]
[tex]a=3-1[/tex]
[tex]a=2[/tex]
Similarly,
[tex]\dfrac{2+b}{2}=\dfrac{2}{2}[/tex]
[tex]2+b=2[/tex]
[tex]b=2-2[/tex]
[tex]b=0[/tex]
And,
[tex]\dfrac{1+c}{2}=\dfrac{-1}{2}[/tex]
[tex]1+c=-1[/tex]
[tex]c=-1-1[/tex]
[tex]c=-2[/tex]
Therefore, the coordinates of vertex S are (2,0,-2).
https://www.drfrostmaths.com/util-generatekeyskillpic.php?name=AnglePoint4&width=400¶ms=%5B61%2C0%2C%22y%22%2C4%5D
Answer:
Complementary angle
<y+61° =90°
<y = 90°- 61°
<y =29°
I Hope this helps.
3w2 – 21w = 0
Need some help.
Answer:
The solutions are w=0 ,7
Step-by-step explanation:
3w^2 – 21w = 0
Factor out 3w
3w(w-7) =0
Using the zero product property
3w=0 w-7=0
w =0 w=7
The solutions are w=0 ,7
The standard normal curve shown below is a probability density curve for a continuous random variable. This means that the area underneath the entire curve is 1. What is the area of the shaded region between the two z-scores indicated in the diagram?
A. 0.6375
B. 0.4263
C. 0.6825
D. 0.6872
E, 0.8937
Answer:
D
Step-by-step explanation:
use the formula for this
The area of the shaded region between the two z-scores is 0.4263.
The z-scores in the diagram are -1.0 and 1.0. The z-score of -1.0 represents a point that is 1 standard deviation below the mean, and the z-score of 1.0 represents a point that is 1 standard deviation above the mean.
The shaded region represents the area under the standard normal curve between the two z-scores. This area is equal to the probability that a standard normal variable will take on a value between -1.0 and 1.0.
To find the area of the shaded region, we can use a z-table. A z-table is a table that shows the area under the standard normal curve for different z-scores.
Looking up the z-scores of -1.0 and 1.0 in the z-table, we find that the area between the two z-scores is 0.4263.
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URGENT HELP
The gradient of the tangent to the curve y = ax + bx^3 at the point (2, -4) is 6.
Determine the unknowns a and b.
a=?
b=?
Answer:
a = -6
b = 1
Step-by-step explanation:
The gradient of the tangent to the curve y = ax + bx^3, will be:
dy/dx = a + 3bx²
at (2, -4)
dy/dx = a+3b(2)²
dy/dx = a+12b
Since the gradient at the point is 6, then;
a+12b = 6 ....1
Substitute x = 2 and y = -4 into the original expression
-4 = 2a + 8b
a + 4b = -2 ...2
a+12b = 6 ....1
Subtract
4b - 12b = -2-6
-8b = -8
b = -8/-8
b = 1
Substitute b = 1 into equation 1
Recall from 1 that a+12b = 6
a+12(1) = 6
a = 6 - 12
a = -6
Hence a = -6, b = 1
Which graph shows the solution to the given system of inequalities? [y<6x+1 y<-3.2x-4
Answer:
VERY NICE RACK U HAVE MAM
Step-by-step explanation:
Answer:
Its a
Step-by-step explanation:
found on another thing and im taking test
PLEASE HELP ME AND BE CORRECT
Answer:
please someone help me with my latest question
Answer:
41 units
Step-by-step explanation:
Its the reflection the length are same
Two angles of a triangle have the same measure and the third one is 48 degrees greater than the measure
of each of the other two. Find the measure of the LARGEST angle in the triangle
9514 1404 393
Answer:
92°
Step-by-step explanation:
If the third angle is 48° larger than either of the other two congruent angles, then the angle total in the triangle will be ...
x +(x -48) +(x -48) = 180 . . . . . where x is the largest angle
3x -96 = 180 . . . . . . collect terms
x -32 = 60 . . . . . . divide by 3
x = 92 . . . . . . . . add 32
The largest angle in the triangle is 92°.
_____
The other two angles are 44° each.
a gym class has 10 boys and 12 girls. how many ways can a team of 6 be selected if the team must have the same number of boys and girls
Answer:
The number of ways of selecting the team is 26,400 ways.
Step-by-step explanation:
Given;
total number boys in the gym, b = 10 boys
total number of girls in the gym, g = 12 girls
number of team to be selected, n = 6
If there must equal number of boys and girls in the team, then the team must consist of 3 boys and 3 girls.
Number of ways of choosing 3 boys from the total of 10 = [tex]10_C_3[/tex]
Number of ways of choosing 3 girls from a total of 12 = [tex]12_C_3[/tex]
The number of ways of combining the two possibilities;
[tex]n = 10_C_3 \times 12_C_3\\\\n = \frac{10!}{7!3!} \ \times \ \frac{12!}{9!3!} \\\\n = \frac{10\times 9 \times 8}{3\times 2} \ \times \ \frac{12\times 11 \times 10}{3\times 2} \\\\n = 120 \times 220\\\\n = 26,400 \ ways[/tex]
Therefore, the number of ways of selecting the team is 26,400 ways.
Look at the figure. Find the value of x.
K
x + 5
J
L
2X-7
M
JK=JM
[tex] \\ \sf \longmapsto \: x + 5 = 2x - 7 \\ \\ \sf \longmapsto \: x - 2x = - 7 - 5 \\ \\ \sf \longmapsto \: - x = - 12 \\ \\ \sf \longmapsto \: x = 12[/tex]
Can someone help me with this problem
Answer:
3/11
Step-by-step explanation:
HELP ASAP!!!!!!
Thank you so much
We know
[tex]\boxed{\sf P(x,y)=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)}[/tex]
[tex]\\ \sf\longmapsto p(x,y)=\left(\dfrac{3(7)+5(-1)}{3+5},\dfrac{3(7)+5(1)}{3+5}\right)[/tex]
[tex]\\ \sf\longmapsto p(x,y)=\left(\dfrac{21-5}{8},\dfrac{21+5}{8}\right)[/tex]
[tex]\\ \sf\longmapsto p(x,y)=\left(\dfrac{16}{8},\dfrac{26}{8}\right)[/tex]
[tex]\\ \sf\longmapsto p(x,y)=\left(2,\dfrac{13}{4}\right)[/tex]
m:n=3:5
We know
[tex]\boxed{\sf M(x,y)=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)}[/tex]
[tex]\\ \sf\longmapsto M(x,y)=\left(\dfrac{3(7)+5(-1)}{3+5},\dfrac{3(7)+5(1)}{3+5}\right)[/tex]
[tex]\\ \sf\longmapsto M(x,y)=\left(\dfrac{21-5}{8},\dfrac{21+5}{8}\right)[/tex]
[tex]\\ \sf\longmapsto M(x,y)=\left(\dfrac{16}{8},\dfrac{26}{8}\right)[/tex]
[tex]\\ \sf\longmapsto M(x,y)=\left(2,\dfrac{13}{4}\right)[/tex]
Find the equation for the line that passes through the points and . State your
equation with whole numbers and/or fractions, not decimals.
Answer:
y = 2x.
Step-by-step explanation:
The slope = (6 - (-4))/(3 - (-2))
= (6 + 4)/(3+2)
= 10/5
= 2.
Using this and the point (3, 6) we have:
y - 6 = 2(x - 3)
y = 2x - 6 + 6
y = 2x.
Question 7 of 13
Find the solution to the system of equations,
5x - 3y - Z= 6
-4x + 5y + z = 6
Х
+ 3z = 10
Answer:
D. x = 4, y = 4, z = 2
Step-by-step explanation
Plugged in given answers as trying to substitute is impossible, already tried all combinations
Solve for A if = 3.14 and r = 3. Α = πη2 Enter the number that belongs in the green box A = [?]
A man owns 3/4 of the share of a business and sells 1/3 of his
shares for Birr 10,000. What is the value of the business in Bir?
Given:
A man owns 3/4 of the share of a business and sells 1/3 of his shares for Bir 10,000.
To find:
The value of the business in Bir.
Solution:
Let x be the value of the business.
It is given that a man owns 3/4 of the share of a business and sells 1/3 of his shares for Bir 10,000.
[tex]x\times \dfrac{3}{4}\times \dfrac{1}{3}=10000[/tex]
[tex]x\times \dfrac{1}{4}=10000[/tex]
Multiply both sides by 4.
[tex]x=4\times 10000[/tex]
[tex]x=40000[/tex]
Therefore, the value of the business is 40,000 Bir.
distance between 4, -4 and -7, -4
Step-by-step explanation:
here's the answer to your question
Answer: Distance = 11
Step-by-step explanation:
Concept:
Here, we need to know the idea of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
Find the distance between A and B, where:
A (4, -4)B (-7, -4)[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]Distance=\sqrt{(4+7)^2+(-4+4)^2}[/tex]
[tex]Distance=\sqrt{(11)^2+(0)^2}[/tex]
[tex]Distance=\sqrt{121+0}[/tex]
[tex]Distance=\sqrt{121}[/tex]
[tex]Distance=11[/tex]
Hope this helps!! :)
Please let me know if you have any questions