The sum of the measures of the interior angles of a polygon is known to be
between 2100 and 2200. How many sides does the polygon have?
Answer: 5 sides
Step-by-step explanation:
At Nick's school, 25% of the 72 sixth-grade students wear either glasses or contact lenses. How many sixth-grade students wear either glasses or contact lenses?
Answer:
18 kids
Step-by-step explanation:
72 x .25
18 is 25% or 72
A man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
1) His plane speed equals ______ mph
2) The wind speed equals ______ mph
Answer:
1.) 120 mph
2.) 30 mph
Step-by-step explanation:
Given that a man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
Let the wind speed = w
and the plane speed = p
From the first sentence,
P - w = 180/ 2
P - w = 90 ....... ( 1 )
From the second statement,
P + w = 180/1.2
P+ w = 150 ...... ( 2 )
Solve equation 1 and 2 simultaneously
P + w = 150
P - w = 90
Add the two equations
2P = 240
P = 120 mph
Substitute p in equation 1
W = 150 - 120
W = 30
Therefore, the wind speed is 30 mph and the plane speed is 120 mph
What is the missing number?"
IN
OUT
1
2
2
3
3
4
4
5
5
6
7
what is √ − 3 ⋅ √ − 27 =
We are given the expression:
√-3 * √-27
__________________________________________________________
Explaining the concept:
We know that:
√ab = √a * √b
Using this concept, we will simplify the given expression and solve it
__________________________________________________________
Simplifying the expression:
√-3 * √-27
√(-1*3) * √[(-1)*(3)(3)(3)]
√-1 * √3 * √-1 * √3 * √3 * √3
(√-1 * √-1) * (√3 * √3 * √3 * √3)
(√-1)² * (√3)² * (√3)²
-1 * 3 * 3
-9
Hence, after simplifying the given expression, we get -9
Now I need thissss pls
Brainliest if answer
Answer:
a. 3:4
b. 1:1.3
Student tickets cost $6.25 each at a local movie theater. Which proportion could be used to find the number of student tickets, t, that could be purchased with a $25 gift card?
Answer:
4
Step-by-step explanation:
bc I got jt right
explain how to find 45% of a number
A-multiply the number by 0.45.
B-Divide the number by 4.5.
C-Divide the number by 45.
D-multiply the number by 4.5.
What is 4 1/8 times 2 1/2
Answer:
[tex]\frac{33}{20}[/tex]
Hope this helps!
2х + y = 4
у = 3х – 1
its 2 because 2plus is 2
Line segment W Y is an altitude in triangle WXZ.
Triangle W X Z is shown. An altitude is drawn from point W to point Y on side Z X, forming a right angle. Angles Z W Y and W X Y are congruent.
If ΔYWZ ~ ΔYXW, what is true about AngleXWZ?
AngleXWZ is an obtuse angle.
AngleXWZ is a right angle.
AngleXWZ is congruent to AngleWXY.
AngleXWZ is congruent to AngleXZW.
Answer:
∠ XWZ is a right angle.
Step-by-step explanation:
See the given diagram.
In triangle WXZ, WY is an altitude.
So, ∠ WYZ = ∠ XYW = 90°
Now, given that ∠ ZWY = ∠ WXY.
Now, from Δ XYW, since, ∠ XYW = 90° so, ∠ WXY + ∠ YWX = 90° ....... (1)
⇒ ∠ ZWY + ∠ YWX = 90° {Since, ∠ ZWY = ∠ WXY}
⇒ ∠ XWZ = 90°
Therefore, the angle XWZ is right angle. (Answer)
Answer:
B. XWZ is a right angle
Step-by-step explanation:
edge 2020 plz vote brainliest
Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation of the lifetimes of the AAA batteries it produces. A random sample of 23 batteries produced by the manufacturer lasted a mean of 10.3 hours with a standard deviation of 2.4 hours. Find a 95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
Answer:
95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
(8.889, 11.7106)
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 23
Mean of the sample x⁻ = 10.3
Standard deviation of the sample (s) = 2.4
Level of significance = 0.05
Degrees of freedom = n-1 = 23-1 =22
Step(ii):-
95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} +t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]
[tex](10.3 - t_{\frac{0.05}{2} } \frac{2.4}{\sqrt{23} } , 10.3 +t_{\frac{0.05}{2} } \frac{2.4}{\sqrt{23} } )[/tex]
(10.3 - 2.8188 (0.50043) , 10.3 + 2.8188(0.50043)
(10.3-1.4106 , 10.3+1.4106)
(8.889, 11.7106)
final answer:-
95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
(8.889, 11.7106)
Identify the type of sequence shown and select the appropriate response.
4, 24, 144, 864, ...
A) Geometric sequence, common ratio is 6
B) Geometric sequence, common ratio is 20
C) Arithmetic sequence, common difference is 6
D) Arithmetic sequence, common difference is 20
Answer:
the answer is A
Step-by-step explanation:
if you multiple 6 to 4 you get 24. if you multiple 24 to 6 you get 144. if you multiple 144 to 6 you get 864.
2 (t + 1) = 10
SOLVE FOR T
(x+0)(x-3)(x+0)(x+5)
Answer:
x^2 + 2x - 15
Step-by-step explanation:
(x-3)(x+5) = x^2 + 2x - 15
hope this helps, pls mark brainliest :D
HELP PLEASE!! Two lines are drawn in the same plane.
Under what condition are the lines
perpendicular?
A two lines that never intersect
B. two lines that intersect and form right angles
C. two lines that intersect and form acute angles
D. two lines that intersect at more than one point
Answer:it is c or b
Step-by-step explanation:
The condition for the lines to be perpendicular will be two lines that intersect and form right angles. Then the correct option is B.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Two lines are drawn in the same plane.
If the two lines intersect then the angle between the line is 90 degrees.
The condition for the lines to be perpendicular will be two lines that intersect and form right angles.
Then the correct option is B.
The graph is given below.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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what’s the answer to this problem? ASAP
Given:
prove:x=15
Statements and reasons
Answer:
i think question is not clear
I WILL GIVE MORE POINTS IF I GET THE RIGHT ANSWER
Eric is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the runner at different times. Show your work and define the variables used. (5 points)
Part B: How can you graph the equations obtained in Part A for the first 5 hours? (5 points)
Answer:
v= 6km/h - 1km/h^2 * t
Step-by-step explanation:
From the information, it seems the runner is slowing down because the speed at 1st hour is 5km/h but at 3rd hour becomes 3km/h.
If v= velocity, v0= initial speed, t= time, and the a=acceleration then the function would be:
v= v0 + a * t
To find the acceleration you need to do this equation:
acceleration= velocity1- velocity3 / t3-t1
a = (3km/h-5km/h)/ (3 hour- 1 hour)
a = (-2km/h)/2hour= -1 km/hour^2
After that, you need to find the initial speed. Try to put the 1st-hour variable into the full equation. It would look like this
v= v0 + a * t
5km/h= v0 + (-1 km/hour^2 * 1 hour)
v0= 5km/h + 1km/h
v0= 6km/h
Then the full function would be:
v= 6km/h - 1km/h^2 * t
The graph would look like a backslash(\) from 5 gradually go down to 1.
6
5 O
4 O
3 O
2 O
1 O
1 2 3 4 5
Carissa has a fish tank that can hold up to 50 gallons of water but it is leaking at a constant rate. When Carissa first notices the leak, the tank has 40 gallons of water. Two hours later the tank has 30 gallons. At what rate is the water leaking? Use a signed number, and include the unit of measurement in your answer.
Answer:
for every 2 hour 10 gallons leak out
Step-by-step explanation:
3x – 5 =-10
6. To solve the equation in the box for the
value of x, Michele started by adding 5 to both
sides. To get the correct answer, what must
Michele do next?
A divide both sides by 10
B. divide both sides by 3
C. multiply both sides by 10
D. multiply both sides by 3
After adding 5 to both sides what did Michele get? Let's see
[tex]3x-5 + 5 = -10 + 5\\3x= -5[/tex]
If she wants to find the value of [tex]x[/tex] then she needs to have only the variable [tex]x[/tex] on the left hand side. What she must do so that [tex]3x[/tex] becomes just [tex]x[/tex]? What do you have to do to the number 3 so it becomes a 1? That's right, she must divide by 3!
So, after dividing both sides by 3:
[tex]\frac{3x}{3} = \frac{-10}{3} \\\\\boxed{x=\frac{-10}{3}}[/tex]
Thus, the correct answer is letter B
. Beth is making gingerbread men. She uses 2 raisins for eyes and 3 raisins for buttons for each gingerbread man. She buys 4 boxes of raisins, each with 120 raisins in it. How many dozens of gingerbread men can she make
The number of gingerbreads that Beth can be made from 4 boxes of raisins is 8 dozens.
What is Proportion?Proportions are mathematical statements where two or more ratios are made to be equivalent to each other.
Number of raisins Beth uses for one gingerbread man = 2 raisins for eyes and 3 raisins for buttons.
Number of raisins used for 1 gingerbread man = 2 + 3 = 5 raisins
Beth buys 4 boxes of raisins, each with 120 raisins in it.
Total number of raisins Beth bought = 4 × 120 = 480 raisins
So, 1 gingerbread can be made from 5 raisins.
Let x be the number of gingerbreads made from 480 raisins.
Using proportion,
1 : 5 = x : 480
1 / 5 = x / 480
Applying cross multiplication,
5x = 480
x = 480 / 5
x = 96
96 gingerbreads or 96/12 = 8 dozens of gingerbread can be made.
Hence 8 dozens of gingerbreads can be made from 4 boxes of raisins.
To learn more about Proportions, click on the link given below:
https://brainly.com/question/29774220
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what is the sum of the interior angles of a 28-gon?
s = (n-2) 180
Answer:
1,00090
Step-by-step explanation:
Select all that apply.
The figures below are similar because _____.
• they are congruent
• the corresponding angles are congruent
• the corresponding sides are proportional
• the corresponding sides are not proportional
Answer:
Mark me brainliest
Answers are, they are congruent, and corresponding angles are proportional
Step-by-step explanation:
3 pounds of bannas cost $1.5 What is the costant of this proportionly that relates the cost in dollars y,to the number of pounds of bannas X
Answer:
.50 cents per pound
Step-by-step explanation:
11. IF PORS is a parallelogram, find the values of x and y.
11. X
y
(10y - 7
Answer:
x = 4 and y = 15
Step-by-step explanation:
Opposite sides of parallelogram are equal
Opposite sides of parallelogram are equaltherefore,
13x + 15 = 19x - 9
15or 15 + 9 = 19x - 13x
or 24 = 6x
or 24÷6 = X = 4
adjacent angles = 180°
therefore,
(10y - 37) + (4y + 7) = 180
or 10y - 37 + 4y + 7 = 180
or 14y = 180 + 37 - 7
or 14y = 210
or y = 210 ÷ 14
or. y = 15
what are the coordinates of the pre-image of F'
Step-by-step explanation:
is there a picture that you could put on here so i can see?
Need help Pronto! Will give braintliest.
Answer:
b
Step-by-step explanation:
The radius of the sphere is 9 inches. Which equation can be used to find the surface area of the sphere?
Answer:
Option (2)
Step-by-step explanation:
Formula to get the surface area of a sphere is,
Surface area = 4πr²
Here 'r' = Radius of the sphere
We have to calculate the surface area of a sphere with radius r = 9 inches.
By substituting the value of r in the formula,
S = 4π(9)²
Therefore, Option (2) will be the correct option.
Answer:
B. S = 4 pi r squared = 4 pi (9) squared