Answer:
-301/27
Step-by-step explanation:
How do I solve these problems?
Answer:
- 32, - 7, 18 and 127, 106, 85
Step-by-step explanation:
Add the common difference d to the previous term
(1)
a₁ = - 32
a₂ = a₁ + 25 = - 32 + 25 = - 7
a₃ = a₂ + 25 = - 7 + 25 = 18
The first 3 terms are - 32, - 7, 18
(2)
a₁ = 127
a₂ = a₁ + d = 127 - 21 = 106
a₃ = a₂ + d = 106 - 21 = 85
The first 3 terms are 127, 106, 85
Answer:
-32, -7, 18 and
127, 106, 85
Step-by-step explanation:
You can use the following formula to solve this:
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
a is the nth term in the sequence. So at the 3rd term, n = 3
a₁ is the first term in the sequence. In your first question, a₁ is -32. In your second, a₁ is 127.
(n - 1) represents the term before a, or the term before the current term. So at the 3rd term, (n - 1) = 3-1, which is 2.
d represents the common difference between terms. Aka what you add or subtract to a term to get the next one.
For the first question, you know a₁ and d, so you can substitute them into the equation to find the second and third terms:
a = -32 + (n - 1)25
You also know (n-1), because a is 2 when you're looking for the second term. So (n-1) = 2-1, which is 1. So put that in the formula and simplify:
a = -32 + (1)25
a = -32 + 25
a = -7
The second term is -7. To find the 3rd term, do the same thing.
a = -32 + (n - 1)25
(n-1) is 2, since you're on the third term and n is 3.
a = -32 + (2)25
a = -32 + 50
a = 18
So the first 3 terms are -32, -7, and 18.
For the second one, the formula looks like this:
a = 127 + (n - 1)-21
The first term is 127. Find the 2nd (n is 2):
a = 127 + (1)-21
a = 127 -21
a = 106
Then find the 3rd term (n is 3)
a = 127 + (2)-21
a = 127 -42
a = 85
So the first 3 terms are 127, 106, and 85.
plz answer will give 5* brainliest and thanks plz plz plz ur being timed xD
Answer:
y = 1/2x + 0
Step-by-step explanation:
PLEASE HELP QUICK!!!
The angle of a triangle are 3x (4x+1) and (6x-3), find the value of x.
X=14
[tex]3x + 4x + 1 + 6x - 3 = 180 \\ 13x - 2 = 180 \\ 13x = 182 \\ x = 14[/tex]
HELP NEED HELP!
Choose the similar triangles that have a hypotenuse defined by the equation
Answer:
red
Step-by-step explanation:
Find the value of x.
Answer:
x = 25
Step-by-step explanation:
The top angle is the supplement of 3x - 10
180 - (3x - 10) = -3x + 190
The sum of the angles in a triangle is 180
(-3x + 190) + (25) + (x + 15) = 180
Combine like terms
-2x + 230 = 180
Subtract 230 from both sides
-2x = -50
Divide both sides by -2
x = 25
A quadrilateral has vertices (-5,1) (-2,5) (2,2) (-1,-2). Determine if it is a square by using the distance formula to calculate the length of the diagonals, and the slope formula to determine if the diagonals are perpendicular
Length of diagonals are :
[tex]D_1 = \sqrt{ (-5-(-1))^2 + (1-(-2))^2 }\\\\D_1 = 5\ units[/tex]
[tex]D_2 = \sqrt{(-2 -2 )^2 + (5-2)^2}\\\\D_2 = 5 \ units[/tex]
Now, Slope of both the diagonal is :
[tex]m_1 =\dfrac{1-(-2)}{-5-(-1)} \\\\m_1 = -\dfrac{3}{4}\\\\m_2 = \dfrac{5-2}{-2-2}\\\\m_2 = -\dfrac{3}{4}[/tex]
Now, product of slopes are :
[tex]m_1 \times m_2 = \dfrac{-3}{4} \times \dfrac{-3}{4}\\\\m_1 \times m_2 = \dfrac{9}{16}[/tex]
Since, the product of slope is not equal to -1 . It means that the slopes are not perpendicular.
Therefore, this quadrilateral is not square.
What is the expression 6k + 50.5 equal to? How do you write this equation?
Answer:
[tex] \huge\green{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]
[tex]6k + 50.5 = 0 \\ 6k = - 50.5 \\ k = \frac{ - 50.5}{6} \\ k = - 8.4166..[/tex]
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Solve the inequality x + 2 1/2 > -1/2. Graph the solution set on a number line.show your work.
Answer:
x > - 3
Step-by-step explanation:
x + 2[tex]\frac{1}{2}[/tex] > - [tex]\frac{1}{2}[/tex] First turn 2[tex]\frac{1}{2}[/tex] into an fraction since its easier. So it becomes [tex]\frac{5}{2}[/tex]
x + [tex]\frac{5}{2}[/tex] > - [tex]\frac{1}{2}[/tex]
- [tex]\frac{5}{2}[/tex] - [tex]\frac{5}{2}[/tex] Do inverse operations, so subtract [tex]\frac{5}{2}[/tex] from both sides.
x > - [tex]\frac{6}{2}[/tex] Combine - [tex]\frac{5}{2}[/tex] with - [tex]\frac{1}{2}[/tex], which gives us - [tex]\frac{6}{2}[/tex]
x > - 3 Since we know that 6 divided by 2 is 3.
This would not allow me to attach an image so I am going to type a visual representation f what the graph would look like below)
<-------------O--------------------------------------------------->
-5 -4 -3 -2 -1 0 1 2 3 4 5
So, the number line would be a solid line rather than dashed (but I was not able to attach an image so I kind of had to improvise). When using ≥ ≤ sings the circle of the point is closed. When using < and > signs, the circle of the point is open. Thus, in this scenario since he sign is >, then the circle of the point is open. The direction of the arrow and ray for this equality is going to the right because the answer is that x is greater than - 3, Therefore any values greater than - 3 are a possibility which is why the arrow goes on indefinitely.
Match each object which the characteristics.
Answer:
Ray goes with horizon
Line goes with a broom handle
Parallel lines goes with rows of seats on a plane
Line segment goes with a sun ray
Point goes with cookie crumb
Perpendicular lines goes with the letter T
Step-by-step explanation:
Not sure how to explain it
If 2/3x-1=4,then x=?
Answer:
a
Step-by-step explanation:
PLZ HELP!!!! The school bus travels at an average speed of 30 miles an hour in the morning because of the traffic. Diego's Home is 3 miles away from the school. If he got picked up by the bus at his house at 7:12am, what time did he arrive at the school?
Answer:
he arrived at school at 7:18
Step-by-step explanation:
Time = distance/speed = 3mi/30mph
= 3/30
= 0.1 hour
= 6 minutes
= 00:06:00
Maryah and Mariah make egg sandwiches. Maryah can make 5 sandwiches in 3
hours and Mariah can make 3 sandwiches in 2 hours.
Enter an equation that can be used to find the number of hours, t, it takes Maryah and Mariah to
make 38 sandwiches. Enter your response in the first response line.
Enter the number of hours, t, it takes Maryah and Mariah to make 38 sandwiches
please help me if you can! ( links= report )m
Answer:
Volume (V) = 2522.0 mm^3
Step-by-step explanation:
The volume of cylinder is :
V = π r 2 h
We know that the height (h) is 19.
We also know the radius (r) is 13/2 = 6.5
So,
V = π 6.5^2*19
V = 2522.0 mm^3
Assume that lines which appear tangent are tangent
Answer:
B
Step-by-step explanation:
Remark
This is a monster when you first come across it, but later on you will not be fooled.
Construction
Draw a line from E to the center of the circle. Label the center of the circle OOE and OF are both radii. They form the central angle of the ArcEFSolution
Find the value of Arc EF
The value of Arc EF = 360 - 244 = 116
The value of <FOE also = 116. (The arc and the central angle are equal.)
ΔFOE = 116 degrees See above statement
ΔFOE is isosceles Two of it's sides are radii.
The two base angles can be solved. Call each one x
2x + 116 = 180 All triangles have 180 degrees
-116 -116 Subtract 116 from both sides
2x = 64 Divide by 2
x = 32 <EFO = 32
<EFO = 90 Where the tangent meets the radius forms a 90o angle.
<EFO + GFE = 90
32 + GFE =90
GFE = 90 - 32
GFE = 58
Answer: B
Answer:
b
Step-by-step explanation:
360-244/2= 116/2=58 or b
What is the area of the shaded region in the inage below? Leave your anser in terms of pi
Answer:
182π
Step-by-step explanation:
Subtract areas of two smaller circles from the largest one
Area of largest circle (which has a diameter of 26+14, or 40) = 20²π or 400π
Area of second largest circle = 169π
Area of smallest circle = 49π
400π - (169π + 49π) = 182π
Find the measure of angle MKN.
Answer:
90°
Step-by-step explanation:
360÷4=90°
Each is 90°
2(x+3)=x-4 what's the answer pls help
Answer:
x = - 10
Step-by-step explanation:
2x + 6 = x-4
2x - x = -4 - 6
x= -10
Answer:
The value of x = -10
Step-by-step explanation:
2(x+3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
1x = -10
x = [tex]\frac{-10}{1}[/tex]
Value of x equals to -10!
The High Roller in Las Vegas is now the world’s tallest Ferris wheel. The Ferris wheel has 520 ft. diameter, and the top of the Ferris wheel is 550 ft. off the ground. What would the vertical shift (k) be for this Ferris wheel?
Answer:
30
Step-by-step explanation:
Scarlett is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?
Answer:
24 different outcomes
Step-by-step explanation:
The answer is 24 different possible outcomes. Since there are 4 colors and 6 numbers. Multiply the 4 by 6 to get 24. Hope this helps
5,000 is what percent of 10,000
Answer:
50%
Step-by-step explanation:
it's half
Answer:
5,000 is half of 10,000
Step-by-step explanation:
5,000 x 2 = 10,000
10,000 divided by 2 = 5,000
5,000 plus 5,000 = 10,000
there is another option
6- × =3
Answer:
3x=6
Step-by-step explanation:
If sin A = 28 53 sinA= 53 28 and cos B = 3 5 cosB= 5 3 and angles A and B are in Quadrant I, find the value of tan ( A + B ) tan(A+B).
Answer:
[tex]Tan(A+B)=\frac{264}{23}[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]SinA=\frac{28}{53}[/tex]
[tex]CosB=\frac{3}{5}[/tex]
Let X be the adjective side to A
Let Y be the opposite side to B
Generally the equation for X is mathematically given by
[tex]X^2=\sqrt{53^2-28^2}[/tex]
[tex]X=45[/tex]
Therefore [tex]TanA[/tex]
[tex]TanA=\frac{28}{45}[/tex]
Generally the equation for Y is mathematically given by
[tex]Y^2=\sqrt{5^2-3^2}[/tex]
[tex]Y=4[/tex]
Therefore [tex]TanB[/tex]
[tex]TanB=\frac{4}{3}[/tex]
Generally the equation for [tex]Tan(A+B)[/tex] is mathematically given by
[tex]Tan(A+B)=\frac{TanA+TanB}{1-TanA*TanB}[/tex]
[tex]Tan(A+B)=\frac{\frac{28}{45}+(\frac{4}{3})}{1-(\frac{28}{45})*(\frac{4}{3})}[/tex]
[tex]Tan(A+B)=\frac{264}{23}[/tex]
Can you help I’ll mark brainliest
Answer:
[tex]7\sqrt{3}[/tex]
Step-by-step explanation:
Since this is a 30-60-90 triangle, we know that the sides have the following characteristic:
The side opposite to 30 degree angle: n
The side opposite to 60 degree angle: [tex]n\sqrt{3}[/tex]
The side opposite to 90 degree angle: 2n
Since we know that 7 is opposite to 30-degree, and x is opposite to 60 degree, than we know that x = [tex]7\sqrt{3}[/tex]
write an explicit formula for an,the nth term of the sequence 72,12,2
Answer:
[tex]a_n = 432 \cdot \left(\frac{1}{6}\right)^n[/tex] OR [tex]a_n = 72 \cdot \left(\frac{1}{6}\right)^{n-1}[/tex]
Step-by-step explanation:
The first term is 72, and each term is equal to the previous term multiplied by 1/6. This yields the expression [tex]a_n = 72 \cdot \left(\frac{1}{6}\right)^{n-1}[/tex], which is equivalent to [tex]a_n = 432 \cdot \left(\frac{1}{6}\right)^n[/tex].
Answer:
[tex]n _{th} = n _{1} {r}^{n - 1} \\ n _{th} = 72 \times 12 {}^{(n - 1)} \\ n _{th} = 72 \times ( {12}^{n} .12^(-1)) \\ n _{th} = 6 × {12}^{n} [/tex]
Rhombus ABCD has a diagonal BD¯¯¯¯¯.
m∠ADB=(6x−7)°
m∠CDB=(5x+5)°
What is the m∠ADC ?
Enter your answer in the box
Plasserea numbers in ascending Order
Answer:
the pic is 't clear
Step-by-step explanation:
i need help pls I'm struggling .
Answer:
answer: 1/36 or 2.8%
Step-by-step explanation:
Green is the answer because probability for this will be found by doing the chances for both multiplied by each other there is a 1/6 chance of getting 5 so 1/6 x 1/6 = 1/36 so thats why green is the answer. Hope that helps!
A box of cereal states that there are 87 calories in 3/4 cup serving? How many calories are in two cups of cereal?
Help PlSss there’s people not helping I really need to bring my grades up
Answer:
center: P
Radius: 12cm
# of radii: 5
Diameter: 24cm
# of diameters: 2
Circumference: 75.36cm
Step-by-step explanation:
the center is labeled with the point p
radius is the distance from the center to the circumference of a circle
diameter is the distance from one point on a circle through the center to another point on the circle. (and twice the radius)
circumference is 2(pi)r
pi can be rounded to 3.14