For both problems, we can use the section formula.
1) [tex]P=\left(\frac{(1)(1)+(5)(-9)}{6}, \frac{(1)(8)+(5)(3)}{6} \right)=\boxed{\left(-\frac{22}{3}, \frac{23}{6} \right)}[/tex]
2) [tex]Z=\left(\frac{(2)(7)+(1)(1)}{3}, \frac{((2)(5)+(1)(2)}{3} \right)=\boxed{(5, 4)}[/tex]
An angle has a reference angle of 40° and its terminal side lies in Quadrant III. What are a possible positive measure and a negative measure for the angle?
The positive measure is 220° and the negative measure is -140°.
How to find the measures of the angle?First, we know that the reference angle is 40°, and it lies on the third quadrant.
So these 40° are measured from the negative x-axis (the axis where the quadrant starts).
This means that the angle measured in the standard way (from the positive x-axis) measures:
M = 40° + 90° + 90° = 220°.
To find the negative measure, we remember that any angle A is equivalent to:
B = A + n*360°.
Where n is an integer.
If we take n = -1 for our angle, we get:
M' = 220° + (-1)*360° = -140°.
So the positive measure is 220° and the negative measure is -140°.
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Grace buys a set of 14 notebooks. Each notebook has 85 pages. What is the total number of pages for all the notebooks?
Answer: 1190 pages
Step-by-step explanation:
The word problem states that Grace has a set of 14 notebooks, and each notebook has 85 pages. To find the total number of pages, we want to multiply the number of pages in each book by how many books there are.
14×85=1190 pages
Classify the following triangle
Types of Triangles (Angles):
---Acute = all angles are less than 90 degrees
---Right = one angle is equal to 90 degrees
---Obtuse = one angle is greater than 90 degrees
Types of Triangles (Side Lengths):
---Equilateral = all sides are the same length
---Isosceles = two sides are the same length
---Scalene = all sides are different lengths
The following triangle is obtuse and scalene. It has one angle that is greater than 90 degrees and its sides are all different lengths.
Hope this helps!
B. Scalene
E. Obtuse
Step-by-step explanation:Triangles can be classified in 2 different ways. They can be classified based on their sides and angles.
Sides
There are 3 different categories for the sides: scalene, isosceles, and equilateral.
Scalene - these triangles have 3 sides that are all different lengths.Isosceles - Isosceles triangles have 2 congruent sides. This also means that they have 2 congruent angles.Equilateral - These triangles have all equal sides, which also means all the angles are also equal.Angles
Triangles can be classified as acute, obtuse, or right based on their angles.
Acute - Acute triangles only have acute angles. This means there is no angle over 89 degrees.Obtuse - Obtuse triangles have 1 obtuse angle. Obtuse angles are over 90 degrees.Right - Right triangles have 1 right angle. Remember that right angles are exactly 90 degrees.Scalene Obtuse Triangle
The triangle above has no equal sides, so it must be scalene. Additionally, because one of the angles is 132 degrees, it must be an obtuse triangle.
What would the new coordinates be for A if the triangle was reflected over the y-axis?
triangle
(1,-1)
(-1,-1)
(-1,1)
(1,1)
Answer:
Point A:
(1, 1) -----> (-1, 1)
Step-by-step explanation:
When reflecting over the y-axis, take the opposite of the x-coordinate. That means if the coordinate is positive then it becomes negative, and if it is negative then it becomes positive.
(x, y) -------> (-x, y)
Point A:
(1, 1) -----> (-1, 1)
4. What is the slope of a line that is parallel to the line shown?
Answer:
0.2÷3.0=15.0
Step-by-step explanation:
x - 4x² + 2x³
What is the degree of the polynomial?
Answer:
3
The degree of a polynomial is the highest power of any variable in the polynomial equation.
Here the highest power is 3 of the monomial with co-efficient of 2.
PLEASE HELP ASAP!!!!
A van can ferry a maximum of 12 people.By setting up an inequality , find the minimum number of vans that are needed to ferry 80 people.
Answer:
Given a bus can ferry a maximum of 12 people .by setting up an inquality find minimum number of bus that are needed to ferry 80 people
Given a bus can carry a maximum of 12 people. We need to find minimum number of buses to carry 80 people.
Now 12 people can go in 1 bus.
Therefore 1 person can go in 1/12 bus
Now 1 person can go in 1/12 bus
Therefore 80 people can travel in 1/12 x 80
= 6.6
= 7
Therefore minimum buses needed will be 7
Now we can write inequality as 12 x x > = 80
Or x ≥ 80 / 12
or x > = 6.6
Step-by-step explanation: Hopes it help
Please mark my answer as a brainliest!
The diagram shows line MN graphed on a coordinate plane.
Determine the slope of line MN.
Determine the length of line MN.
Answer:
slope has a gradient of -3/5
Step-by-step explanation:
change in y / change in X
-6 / 10
for the length use Pythagoras
trigonometric identities Simplify cos^2 theta -1/ 4 sin^2 theta
Answer:
B
Step-by-step explanation:
using the identity
sin²x + cos²x = 1 ( subtract 1 from both sides )
sin²x + cos²x - 1 = 0 ( subtract sin²x from both sides )
cos²x - 1 = - sin²x
then
[tex]\frac{cos^20-1}{4sin^20}[/tex]
= [tex]\frac{-sin^20}{4sin^20}[/tex] ← cancel sin²Θ on numerator and denominator
= [tex]\frac{-1}{4}[/tex]
= - [tex]\frac{1}{4}[/tex]
The following are the temperatures of 10 days in winter in °C.
8, 2, 1, 5, 1, 10, -2, 4, -2, 6
Work out the mean temperature.
0
°C
Answer:
ok so
Step-by-step explanation:
add them alll up which is 33. then do 33 divided by 10 because thats how many numbers there are and mean is adding all the numbers up and dividing them so 3.3 degrees celsius
Can y’all help find the surface area please and thank you
To find the area of a complex shape:
⇒ must cut the whole shape into a simpler shape
square with side lengths of 4 in2 triangles with a base of 4 in. and a height of 8 in.2 triangles with a base of 4 in. and a height of 10 in.Let's calculate:
Area of 2 triangles with a base of 4 in. and a height of 8 in.[tex]Area = \frac{1}{2}*4*8 + \frac{1}{2}*4*8=16+16=32\\[/tex]
2 triangles with a base of 4 in. and a height of 10 in.[tex]Area = \frac{1}{2}*4*10 + \frac{1}{2}*4*10=20+20=40[/tex]
square with side lengths of 4 in[tex]Area = 4 * 4=16[/tex]
Total Area: 32 + 40 + 16 = 88 in²
Answer: 88 in²
Hope that helps!
which is equivalent to ( a^2/3 b ^1/3) ^1/2
Answer:
Answer E is correct
Step-by-step explanation:
We know that,
[tex](x^ay^b)^c=x^a^cy^b^c[/tex]
Let us use the above to find the answer to this question.
Let us solve it now.
[tex](a^\frac{2}3} b^\frac{1}{3})^\frac{1}{2}[/tex]
[tex]a^\frac{2}3}^*^ \frac{1}{2} *b^\frac{1}{3}^*^\frac{1}{2}[/tex]
[tex]a^\frac{2*1}{3*2} * b^\frac{1*1}{3*2}[/tex]
[tex]a^\frac{2}{6} * b^\frac{1}{6}[/tex]
Here, we can simplify the [tex]a^\frac{2}{6}[/tex] as [tex]a^\frac{1}{3}[/tex] by dividing the numerator and denominator by 2.
Therefore, the answer will be,
[tex]a^\frac{1}{3} b^\frac{1}{6}[/tex]
6% of 950 is what number?
Answer:
57
Step-by-step explanation:
Answer:
57Step-by-step explanation:
6% of 950 simply means6/100 × 950= 57therefore, 6% of 950 is 57Zero is less than negative fifteen decreased by y, solve for y.
av <15
what is the answer?
The inequality equation will be 0 < -15 - y. Then the value of the variable y is less than negative 15.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Zero is less than negative fifteen decreased by y, can be written as mathematically
0 < -15 - y
Then solving for y, we have
y < -15
The value of the variable y is less than negative 15.
More about the inequality link is given below.
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which one the following is an equation of a line parallel to the equation y=-5x-1?
A bag contains 8 red marbles, 9 yellow marbles, and 7 green marbles. how many additional red marbles must be added to the 24 marbles already in the bag so that the probability of randomly drawing a red marble is 3/5
Answer:
16 red marbles
Step-by-step explanation:
8 red
9 yellow
7 green
total = 8 + 9 + 7
p(red) = 8/24 = 1/3
Add r number of red marbles to the total.
8 + r red
9 yellow
7 green
total = 8 + r + 9 + 7 = r + 24
p(red) = (8 + r)/(r + 24) = 3/5
Cross multiply.
40 + 5r = 72 + 3r
2r = 32
r = 16
Answer: 16 red marbles
Answer:
16
Step-by-step explanation:
bag red: 8 + x
yellow:9
green 7/24
3/5 = 8+ x/24+ x
5(8 + x) = 3 (24 + x)
40 + 5x
-40 -3x = 72 + 3x
-40 -3x -40 - 30
2x/2 = 32/2 so,x = 16
i need help pls i will give brainliest
Answer:
FA: Chord
BO: Radius
CO: Radius
DO: Radius
EO: Radius
CE: Diameter
Step-by-step explanation:
Hello!
Some lines in a circle:
Chord: has two end points on the circle's perimeter, but it doesn't cross the center of the circleRadius: A line segment that starts at the center of the circle to any point on the outer perimeter. A circle has infinitely many Radii.Diameter: two end points on a circle that goes through the center. It is the measure of 2 Radii.Segment FA
This has endpoints inside the circle, but doesn't go through the center. This is a chord.
Segment BO
BO has an endpoint on the center and and an endpoint on the perimeter. This is a radius.
Segment CO
This is also a radius, it has an endpoint on the center and another endpoint on its perimeter.
Segment DO
This is a radius, it has n endpoint on the center and another endpoint on the perimeter
Segment EO
Another radius, with a an endpoint on the center and another endpoint on the perimeter.
Segment CE
A diameter. It has two endpoints on the perimeter of the circle and goes through the center of the circle.
what is the x-intercept of 3y=2x-6 please also show steps this is due in a few minutes !!!!
List the first 4 terms of a geometric sequence with the first term of 2 and a common ratio of 5.
Answer:
2, 10, 50, 250
Step-by-step explanation:
For geometric sequences, multiply the previous term by the common ratio.
Using the formula for geometric sequences [tex]a_{n} =ar^{n-1}[/tex] , with [tex]a_{n}[/tex] being the nth term (so n=4 for the fourth term), a being the first term, and r being the common ratio.
Our starting term is 2. So that is automatically the first term of the four.
Second term:
[tex]a_{2} =2*5^{2-1}=2*5^1=2*5=10[/tex]
Third term:
[tex]a_{3} =2*5^{3-1}=2*5^2=2*25=50[/tex]
Fourth term:
[tex]a_{4} =2*5^{4-1}=2*5^3=2*5*5*5=10*25=250[/tex]
Which statement about y = x^2 – 13x + 36 is true?
An online furniture store sells chairs for $200 each and tables for $650 each. Every
day, the store can ship a maximum of 45 pieces of furniture and must sell no less than
$16000 worth of chairs and tables. If a represents the number of tables sold and y
represents the number of chairs sold, write and solve a system of inequalities
graphically and determine one possible solution.
Answer:
(a, y) = (10, 25)
Step-by-step explanation:
The two constraints give rise to two inequalities: one for the maximum number of pieces shipped, and one for the minimum revenue. A solution is a point on the graph where the inequality solutions overlap.
__
inequalitiesWe're told to use 'a' for the number of chairs, and 'y' for the number of tables.
a +y ≤ 45 . . . . . . the maximum number that can be shipped is 45
200a +650y ≥ 16000 . . . . . revenue must be at least 16000
graphThe line for the revenue equation has a slope of -200/650 = -4/13. The solution space is above this line.
The line for the quantity shipped equation has a slope of -1, somewhat steeper. The solution space is below this line.
The boundary lines combine to define a wedge-shaped solution area in the left part of the first quadrant. One point that can be found in that area is ...
(a, y) = (10, 25)
One possible solution is to sell 10 chairs and 25 tables.
*TIMID* The spinner is divided into 8 equal sections.
A spinner divided into 8 equal sections labeled gray, green, red, purple, gray, green, yellow, blue.
Which two events have the same probability?
options:
P(gray), P(green)
P(red), P(gray)
P(gray), P(purple)
P(yellow), P(gray)
Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also measures π radians. C. An angle that measures 60° also measures π/3 radians. D. An angle that measures π/3 radians also measures 30°.
Answer:
TRUE: A, B, C
False: D
Step-by-step explanation:
A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.
__
A. An angle that measures π/4 radians also measures 45°. TRUE
45° × π/180° radians = π/4 radians
B. An angle that measures 180° also measures π radians. TRUE
180° × π/180° radians = π radians
C. An angle that measures 60° also measures π/3 radians. TRUE
60° × π/180° radians = π/3 radians
D. An angle that measures π/3 radians also measures 30°. FALSE
30° × π/180° radians = π/6 radians
Abc is a right triangle. if ac=7 and bc=8 find ab
Can someone help me solve this.
[tex]\huge\underline{Answer -}[/tex]
[tex] \huge{\implies \: \frac{ - 2 \frac{1}{4} }{ - \frac{ 2}{3} }} \\ \\ \\ \\ \huge{\implies \: \frac{ \frac{ - 9}{4} }{ \frac{ - 2}{3} } } \\ \\ \\ \\ \huge{\implies \: - \frac{9}{4} \div (\frac{ - 2}{3} )}[/tex]
therefore , option ( 2 ) is correct.
hope helpful -,-
A student says that the x-intercept of the graph of × + 2y =5 is the point (0,5). Is the student correct or incorrect? Explain your answer and show your work.
Will give brainliest!!
The student is incorrect, the actual x-intercept is (5, 0).
Is the student correct or incorrect?
Here we have the equation:
x + 2y = 5
The student says that the x-intercept is the point (0, 5).
So if you look at the point you already can see that the student is incorrect, this is because the x-intercept always must have a y-value of 0. (the graph only intercepts the x-axis when y = 0).
So the point (0, 5) can't be an x-intercept.
For the given function:
x +2y = 5
The x-intercept is given by:
x + 2*0 = 5
x = 5
So it is (5 , 0).
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Leg = 11 meters, Hypotenuse = 15 meters
Answer:
10.19
Step-by-step explanation:
Use the Pythagorean Theorem:
[tex]a^{2}+b^{2}=c^{2}[/tex]
Substitute the numbers given:
[tex]11^{2}+b^{2}=15^{2}[/tex]
[tex]121+b^{2}=225\\ b^{2}=225-121\\ b^{2}=104\\ \sqrt b^{2}= \sqrt{104} \\ b=10.19[/tex]
Im trying to get everything on my overdue list done- but most of its math anyone help?
The total surface area of the given pyramid is:
A = 39ft²
How to get the surface area of the given figure?
The total surface area will be equal to the sum of the areas of the square and the 4 triangles.
Remember that for a square of side length S, the area is:
A = S².
In this case, S = 3ft, then:
A = (3ft)² = 9ft².
Now, the area of a triangle of base B and height H is:
A = B*H/2.
Here we can see that the triangles have a base of 3ft (the sides of the square) and a height of 5ft, then the area of each triangle is:
A = (3ft)*(5ft)/2 = 7.5 ft²
Then the total area of the figure is:
A = 4*(7.5 ft²) + 9ft² = 39ft²
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I have a question? can yall answer it please