Answers
Answer:
6. ∠GHJ ≅ ∠GIJ = 73°
10. ∠Q = 89°, ∠R = 123°, ∠S = 91°
Step-by-step explanation:
The relations applicable to these problems are ...
the measure of an inscribed angle is half the measure of the intercepted arcthe sum of the arc measures in a circle is 360°Opposite angles of an inscribed quadrilateral intercept arcs that total 360°, so those opposite angles must total 360°/2 = 180°.
__
6.The missing arc measure GJ is ...
68° +31° +115° +GJ = 360°
GJ = 360° -214° = 146°
Both of inscribed angles GHJ and GIJ intercept arc GJ, so both will have measure ...
∠GHJ ≅ ∠GIJ = 146°/2 = 73°
__
8.∠Q intercepts arc PSR, which is shown as ...
arc PSR = arc PS +arc SR
arc PSR = 137° +41° = 178°
The measure of angle Q is half this:
∠Q = (1/2)×arc PSR = 178°/2 = 89°
__
∠R is opposite ∠P in the inscribed quadrilateral, so is supplementary to it:
∠R = 180° -57° = 123°
__
∠S is opposite ∠Q in the inscribed quadrilateral, so is supplementary to it:
∠S = 180° -89° = 91°
Related Questions
5
0 = - in
=
in quadrant II
Given cos =
Find sin
3
Answers
Answer:
sinΘ = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
using the identity
sin²x + cos²x = 1 ( subtract cos²x from both sides )
sin²x = 1 - cos²x ( take square root of both sides )
sinx = ± [tex]\sqrt{1-cos^2x}[/tex]
given
cosΘ = - [tex]\frac{\sqrt{5} }{3}[/tex] , then
sinΘ = ± [tex]\sqrt{1-(-\frac{\sqrt{5} }{3})^2 }[/tex]
= ± [tex]\sqrt{1-\frac{5}{9} }[/tex]
= ± [tex]\sqrt{\frac{4}{9} }[/tex]
= ± [tex]\frac{2}{3}[/tex]
since Θ is in quadrant II where sinΘ > 0 , then
sinΘ = [tex]\frac{2}{3}[/tex]
HELP!!!
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=64t-16t^2. What is the maximum height that the ball will reach? Do not round your answer.
Answers
Check the picture below, so it reaches the maximum height at the vertex, let's check where that is
[tex]h(t)=64t-16t^2+0 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+64}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 64}{2(-16)}~~~~ ,~~~~ 0-\cfrac{ (64)^2}{4(-16)}\right)\implies \stackrel{maximum~height}{(2~~,~~\stackrel{\downarrow }{64})}[/tex]
linear exponential function
y=5.3×
Answers
Answer:
y=5x
which means 3 will be dedicated to 5
so 5=3y
Help picture below problem 11
Answers
Answer:
48
Step-by-step explanation:
vertical angles are equal
Answer:
48
Step-by-step explanation:
This is because vertical angles (which is opposite of each other when the two lines cross) are congruent, meaning they have the same angles.
Could someone help me giving brainliest
Answers
Answer:
The first one. Top left.
Step-by-step explanation:
The top right one makes a triangular prism.
I don't even know if the bottom right is even a thing.
The bottom left is a cube.
Answer: Top left.
Step-by-step explanation: The net of a rectangular prism doesn't have any triangles, so that eliminates the two nets that have triangles. The net with only squares is the net of a cube, so that isn't right either. The net above the net of a cube is the correct answer, because it includes rectangles and looks exactly like the net of the rectangular prism.
Let me know if this is right! :)
what is the slope of 5x-4y=3
Answers
Answer:
5/4
Step-by-step explanation:
Hi there!
We are given the line 5x-4y=3, and we want to find the slope of it.
The line is currently in standard form (ax+by=c); one way to find the slope of the line is to convert it into slope-intercept form (y=mx+b)
To do that, we need to isolate y on one side (in other words, we need to solve the equation for y)
First, subtract 5x from both sides
5x-4y=3
-5x -5x
____________
-4y = -5x + 3
Divide both sides by -4
[tex]y=\frac{5}{4} x - \frac{3}{4}[/tex]
In slope intercept form, m represents the slope; in this problem, 5/4 takes the place of where m should be, meaning 5/4 is the slope.
Hope this helps!
See more on this topic here: https://brainly.com/question/18929849
These numbers are multiples of ________.
6, 18, 24, 36
A) 4
B) 5
C) 6
D) 8
Answers
Answer:
C. 6Step-by-step explanation:
Multiples refer to the way their numbers are counted from 1 to 100.
These numbers are multiples of 6.
Multiples of 6 are:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, and 72.Therefore, the correct answer is C. 6.
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
The answer is C.
Step-by-step explanation:
6÷6=1
18÷6=3
24÷6=4
36÷6=6
Solve sqrtx-11 + 7 = 19
Answers
Answer:
x = 155
Step-by-step explanation:
[tex]\sqrt{x-11} +7=19[/tex]
[tex]\sqrt{x-11} =12[/tex]
[tex](\sqrt{x-11} )^2=12^2[/tex]
[tex]x-11=144[/tex]
x = 155
A square pyramid has a base with a side length of 7.5 feet and lateral faces with heights of 16 feet. Write an expression that can be used to find the surface area, in square feet, of the square pyramid.
Please provide an expression, not just the surface area please :)
Answers
Check the picture below.
so the surface area of the pyramid will be the sum of the areas of the base and the four triangular faces.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{4 triangular faces}}{4\left[ \cfrac{1}{2}(7.5)(16) \right]}~~ + ~~\stackrel{\textit{rectangular base}}{(7.5)(7.5)}}\implies 240~~ + ~~56.25\implies 296.25~ft^2[/tex]
Who is the father of maths???
Answers
Answer: Archimedes
Step-by-step explanation:
Archimedes was considered the father of mathematics, simply because he made profound advancements in both science and math. His title is purely a nickname, and not because he actually created math.
Answer:
Archimedes is known as the Father Of Mathematics
Step-by-step explanation:
112 is 80% of what number?
A. 140
B. 896
C. 1,400
D. 8,960
Answers
Answer:
A
Step-by-step explanation:
112/0.8 = 140
Answer:
A
Step-by-step explanation:
I am not sure about the answer
The 92 children who were asked when they took their first lesson
Answers
Answer:
I need more to solve!!
Have an amazing day!!
Shawn is typing paper for a class. He can type 1 6/11 pages in 1/3 of an hour. How many pages can shawn type in in one hour
Answers
Answer:
4 7/11
Step-by-step explanation:
1 6/11 * 3 = 3 18/11 = 4 7/11
solve to get brainiest
Answers
[tex] \frac{3}{10 } = 0.3[/tex]
[tex]0.25 < 0.3 < 0.333[/tex]
[tex] \frac{32}{100} = \frac{8}{25} = 0.32[/tex]
[tex]0.25 < 0.32 < 0.333[/tex]
[tex] \frac{26}{100} = \frac{13}{50} = 0.26[/tex]
[tex]0.25 < 0.26 < 0.333[/tex]
[tex] \frac{28}{100} = \frac{7}{25} = 0.28[/tex]
[tex]0.25 < 0.28 < 0.333[/tex]
[tex] \frac{252}{1000} = \frac{63}{250} = 0.252[/tex]
[tex]0.25 < 0.252 < 0.333[/tex]
5.[tex] \frac{ \frac{ - 2}{5} + \frac{1}{2} }{2} = \frac{ \frac{ - 4 + 5}{10} }{2} = \frac{ \frac{1}{10} }{2} = \frac{1}{20} [/tex]
Applying probability concepts
Answers
Answer:
See below ↓
Step-by-step explanation:
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is trueProbability can range in from 0 to 1The probability Choosing a card from the deck of cardApplications
Flipping a coinThrowing a dice in the airPulling a red ball out of a bucket of red and white ballsWinning a lucky drawOf all the events in a sample space adds up to 1Am I right??? Please help me
Answers
Function: y = 2x²-5
Find y-intercept:
y = 2(0)²-5
y = -5
Find x-intercept:
2x²-5 = 0
2x² = 5
x² = 2.5
x = ±√2.5
x = -1.5811 , 1.5811
Graph plotted:
Answer:
Vertex and y-intercept (0, -5)
x-intercepts (-1.58, 0) (1.58, 0)
opens upwards
other plot points: (-2, 3) (-1, -3) (1, -3) (2, 3)
Step-by-step explanation:
The graph is not quite correct - it's a little too narrow and doesn't go through the points on the graph.
The y-intercept is when x = 0:
f(0) = 2(0)² - 5
= - 5
Therefore, the y-intercept is at (0, -5)
We also know that the y-intercept is the vertex since the equation is in the form [tex]f(x)=ax^2+c[/tex]
The x-intercepts are when f(x) = 0:
[tex]\implies 2x^2 - 5 = 0[/tex]
[tex]\implies x^2 =\dfrac52[/tex]
[tex]\implies x=\pm1.58113883...[/tex]
As the leading coefficient is positive, the parabola opens upwards.
Finally, input values -2 ≤ x ≤ 2 to find plot points:
(-2, 3)
(-1, -3)
(0, -5)
(1, -3)
(2, 3)
Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The Bombardier Dash 8 aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6200 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6200lb/37 = 167.6lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 185.47 lb and a standard deviation of 39 lb. make sure to include pdf
Answers
Using the normal probability distribution and the central limit theorem, it is found that the probability is of 0.9974 = 99.74%, which means that the pilot should take action.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, for the population, the mean and the standard deviation are given by, respectively:
[tex]\mu = 185.47, \sigma = 39[/tex].
For a sample of 37 passengers, we have that:
[tex]n = 37, s = \frac{39}{\sqrt{37}} = 6.4116[/tex]
The probability that the aircraft is overloaded is one subtracted by the p-value of Z when X = 167.6, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{167.6 - 185.47}{6.4116}[/tex]
[tex]Z = -2.79[/tex]
[tex]Z = -2.79[/tex] has a p-value of 0.0026.
1 - 0.0026 = 0.9974.
There is a 0.9974 = 99.74% probability that the aircraft is overloaded. Since this is a very high probability, the pilot should take action.
To lern more about the normal probability distribution and the central limit theorem, you can check https://brainly.com/question/24663213
Twenty years ago, Mike was four times as old as John. Four years from now mike will be twice as old as John let x represent Mike's age and y represent Johns age. Helppp! I need an equation in either standard or slope-intercept form! WILL GIVE BRAINLIEST!
Answers
Answer:
Mike is 68 and John is 32Step-by-step explanation:
Set equations as follows
20 years ago
Mike was four times as old as John:
x - 20 = 4(y - 20)Four years from now
Mike will be twice as old as John:
x + 4 = 2(y + 4)Simplify each equation
x - 20 = 4y - 80 ⇒ x = 4y - 60x + 4 = 2y + 8 ⇒ x = 2y + 4Solve for y by substitution
4y - 60 = 2y + 44y - 2y = 60 + 42y = 64y = 32Find the value of x
x = 2*32 + 4 ⇒ x = 68I hope you can convert the above equations into required format. Let me know if not.
The area of the figure below
Answers
Answer:
32 square milimeters
Step-by-step explanation:
3/4 of 24= 18 (rectangle 8X3)
4x2=8 (rectangle 4x2)
half of 12 =6 (rectangle 4x3)
18+8+6 =32
Make x the subject of the formula
y = x^2
Answers
Answer:
[tex]\displaystyle \large{x=\pm \sqrt{y}}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle \large{y=x^2}[/tex]
Make ‘x’ the subject of the formula by square root both sides:
[tex]\displaystyle \large{\sqrt{y}=\sqrt{x^2}}[/tex]
Cancel the square root and square in RHS and write plus-minus in LHS:
[tex]\displaystyle \large{\pm \sqrt{y}= x}\\\displaystyle \large{x=\pm \sqrt{y}}[/tex]
Therefore, the solution is [tex]\displaystyle \large{x=\pm \sqrt{y}}[/tex]
__________________________________________________________
Summary
To make a variable as the subject of equation means to isolate that variable. For an example, if you want to make y as the subject, you’ll have to isolate y-term.
You may also be curious why do you have to add plus-minus on another side when cancelling [tex]\displaystyle \large{\sqrt{x^2}}[/tex] because [tex]\displaystyle \large{\sqrt{x^2}=|x|}[/tex] and [tex]\displaystyle \large{|x|}[/tex] for their positive and their counterparts (opposite/negative) will always give same y-value.
From an example:
[tex]\displaystyle \large{\sqrt{x^2}=4}[/tex] can be rewritten as [tex]\displaystyle \large{|x|=4}[/tex], cancel absolute sign/square root then write plus-minus which the solution is [tex]\displaystyle \large{x=\pm 4}[/tex] and if you substitute x = 4 or -4, the equation will be true for both values.
__________________________________________________________
Others
Let me know if you have any doubts about my answer, explanation or this question through comment!
please Show the algebraic work steps thank you
Answers
Answer:
-0.125
Step-by-step explanation:
Shown in the image above
Explain how using a line plot will help you to collect data
Answers
Answer:
i hope this helps you
Step-by-step explanation:
A line graph is commonly used to display change over time as a series of data points connected by straight line segments on two axes. The line graph therefore helps to determine the relationship between two sets of values, with one data set always being dependent on the other set
and please dont forgets to markas BRAINLIEST answer pleaseFind the distance between FD
F=(4,6) D=(0,-1)
Answers
Answer:
Final answer -
[tex]d(FD) = \sqrt{65 } \: units[/tex]
hope helpful :D
What is the mean (average) of
a, a, b, b, b,c
Answers
Answer:
Ans might be a+b+c
Step-by-step explanation:
Hope the picture will help
-3(10)
Simplify
[Multiplication with integers]
Answers
Answer:
[tex]\boxed{\sf{-30}}[/tex]
Step-by-step explanation:
To solve this problem, all you have to do is solve by order of operations.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract-3(10)First, remove parenthesis.
Multiply.
-3*10
Solve.
[tex]\sf{-3*10=\boxed{\sf{-30}}[/tex]
-30
Therefore, the correct answer is -30.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
-30
Step-by-step explanation:
it is adding 10 three times, but then you add the negative after
so it is 10+10+10 because you are multiplying it by 3
you could also add 3 ten times because the communitive property
so 3+3+3+3+3+3+3+3+3+3
you would do the same whether the -3 was in parentheses or not
solve this question plss on number line
Answers
Answer:
3. 13/36, 14/36, 15/36, 16/36, 17/36
4.
-0.5 -0.25 0 0.25 0.5
5. 0.05
3.
between 1/2 and 1/3five rational numbers:
0.35, 0.4, 0.42, 0.45, 0.46
4. Given in the graph below.
5. (-2/5 + 1/2)/2 = 0.05
Which statement about the following system is correct?
y = - 2x + 5
2x + y = – 5
-
Answers
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
The given equations represents parallel lines, since they have same slope and the y - intercepts of each of the equations are distinct.
Therefore, the correct choice is ~
D. The system is inconsistent because it has no solution.
Drag each expression to its equivalent.
Answers
Answer:
5x+4=2x+3-x+1+4x
7x=3+2x+4+5x-7
2x+3=8+10x-8x-5
2x+3-x+1+4x = 5x+4 and 7x-5-2x+9 = 5x +4
3+2x+4+5x-7 = 7x and x-1+2x+2+4x-1 = 7x
3+2x+4+5x-7 = 7x and x+6-2x-3=2x+3
These are the equivalent expressions.
What is an expression?
It is a sentence with a minimum of two numbers or variables and at least one math operation.
Given expression can be solved like:
1. 2x+3-x+1+4x = 5x+4
Which is same as the first option.
2. 7x-5-2x+9 = 5x +4
Which is same as the first option.
3. 8+10x-8x-5 = 2x+3
Which is same as the third option.
4. 3+2x+4+5x-7 = 7x
Which is same as the second option.
5. x-1+2x+2+4x-1 = 7x
Which is same as the second option.
6. 4x+6-2x-3=2x+3
Which is same as the third option.
Hence, the equivalent options are :
2x+3-x+1+4x = 5x+4 and 7x-5-2x+9 = 5x +4
3+2x+4+5x-7 = 7x and x-1+2x+2+4x-1 = 7x
3+2x+4+5x-7 = 7x and x+6-2x-3=2x+3
To learn more about expression, use the link given below:
https://brainly.com/question/14083225
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A cup of chocolate chips weigh about 6 ounces. A recipe calls for 31 4 cups of chocolate chips which is about how many ounces?
Answers
The recipe calls for 3 1/4 cups of chocolate chips.
We need to multiply 6 by 3 which is 18 ounces plus the 1/4 which is 6 times 1/4 = 1.5 ounces
18 + 1.5 = 19.5 ounces of chocolate chip needed
[tex]3\frac{1}{4}[/tex] cups of chocolate chips is 19.5 ounces.
If one cup of chocolate chips weighs about 6 ounces
we can find out the weight of [tex]3\frac{1}{4}[/tex] cups by multiplying it by the weight of one cup.
[tex]3\frac{1}{4}[/tex] cups = 3 cups + 1/4 cup
= 3 + 0.25
= 3.25 cups
Weight of 3.25 cups = 3.25 cups × 6 ounces/cup
Weight of 3.25 cups = 19.5 ounces
Therefore, [tex]3\frac{1}{4}[/tex] cups of chocolate chips is 19.5 ounces.
To learn more on Equation:
https://brainly.com/question/10413253
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PLSS ANSWER
Ian drinks two and seven eighths liters of water. Farida drinks one and two eighths liters of water. How many more liters of water does Ian drink than Farida?
a. one and five eighths
b. one and one half
c. one half
d. two eighths