help help help help help
Answer:
mPS = 80°
Step-by-step explanation:
angles on a circle subtended by the same arc are congruent
∠ PQS and ∠ PRS are both subtended by arc PS , then
10 + 3x = 110 - 7x ( add 7x to both sides )
10 + 10x = 110 ( subtract 10 from both sides )
10x = 100 ( divide both sides by 10 )
x = 10
then
∠ PQS = 110 - 7x = 110 - 7(10) = 110 - 70 = 40°
the inscribed angle PQS is half the measure of its intercepted arc PS , then
PS = 2 × 40° = 80°
Which is the equation of a trend line that passes through the points (7, 450) and (14, 401)? y = negative 7 x 499 y = negative startfraction 1 over 7 endfraction x 451 y = startfraction 1 over 7 endfraction x 449 y = 7 x 401
The equation of the line that passes through the points (7, 450) and (14, 401) is y + 7x = 499
How to find equation of a line?The equation of a line can be represented as follows:
y - y₁ = m(x - x₁)
where
m = slopeTherefore, (7, 450)(14, 401)
m = 401 - 450 / 14 - 7 = -49 / 7 = -7
Therefore, using (7, 450)
y - 450 = -7(x - 7)
y - 450 = -7x + 49
y + 7x = 49 + 450
y + 7x = 499
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Calculate the volume of the figure below.
Answer:
4080 cm³
Step-by-step explanation:
Figure is of a cuboid
Given length (l) = 30cm
breadth (b) = 17cm
height (h) = 8cm
Volume of cuboid = l.b.h
= 30 × 17 × 8
= 4080 cm³
Which expression is equivalent to -15-(-8)
Answer:
the answer is 15-8
I hope this helps you
Answer:
-15+8
Step-by-step explanation:
Hank has 6 black pens, 4 red pens, and 14 pencils in his desk drawer.
If he reaches into his desk drawer and randomly selects something to write with, what is the probability that he will grab a pen?
is 2.06532 rational or irrational?
Answer:
irrational
Step-by-step explanation:
irrational because it has decimals at the end.
Since we can write the given decimal number into fractional form therefore it is a rational number.
Use the concept of decimals defined as:
Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value.
The given number is:
2.06532
The number 2.06532 is rational because it can be expressed as a fraction of two integers.
In this case,
It can be written as the fraction 206532/100000.
Hence,
The given number is a rational number.
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suppose that there is a circular race track. Joseph takes 25 minutes to finish it and Owuor takes 35 minutes
to finish it. If both of them start running from the same point at the same time in the same direction, after
how many minutes will they meet for the first time on the starting point?
Answer:
They will cross the finish line together in 175 minutes.
Step-by-step explanation:
This question asks you to consider the 25 and 35 times table.
I listed the 25 and 35 times tables and tried to find the lowest common multiple.
You can see that on Josephs' 7th lap of the track he will cross the line simulatneously with Owuor who will be on his 5th lap. So the answer should be 175 minutes.
25 × 1 = 25 35 × 1 = 35
25 × 2 = 50 35 × 2 = 70
25 × 3 = 75 35 × 3 = 105
25 × 4 = 100 35 × 4 = 140
25 × 5 = 125 35 × 5 = 175
25 × 6 = 150 35 × 6 = 210
25 × 7 = 175
25 × 8 = 200
Which of the following can represent the three angles in an obtuse, scalene triangle?
-50, 30, 100
-40, 50, 90
-30, 30, 120
-50, 50, 80
Answer:
30, 30, 120
Step-by-step explanation:
Answer:
•50, 30, 100
Step-by-step explanation:
One side (100) is much bigger than the rest (over 90), and the other two are not alike or the same, making it scalene.
-7-3 log₂ (-n + 10) = -16
Answer:
2
Step-by-step explanation:
-3 log₂ (-n + 10) = -16+7
-3 log₂ (-n + 10) = -9
log₂ (-n + 10) = -9/-3
log₂ (-n + 10) = 3
-n + 10 = 2^3
-n + 10 = 8
n=2
2. f(x)=4x+1 and g(x)=x2−4x−5, find (g◦f)(4).
Answer:
(g · f)(4) = 45
Step-by-step explanation:
f(x)=4x+1
g(x)=x² - 4x- 5
(g · f)(x) = 4(x² - 5) + 1
(g · f)(4) = 4(4² - 5) + 1
Following pemdas
(g · f)(4) = 4(16 - 5) + 1
(g · f)(4) = 4(11) + 1
(g · f)(4) = 44 + 1
(g · f)(4) = 45
The figure below shows a triangular piece of cloth:
What is the length of the portion BC of the cloth? (1 point)
Answer:
BC / 8 = sin 35° by definition.
Step-by-step explanation:
help me pleeeeeeease
[tex]P = l + l + b + b[/tex]
[tex]P = 2(2a + 3) + 2(8a - 12)[/tex]
[tex]\boxed{\sf{P=20a-18}}[/tex]
Question 2:[tex]P = 20(3) - 18[/tex]
[tex]P = 60 - 18[/tex]
[tex]\boxed{\sf{P = 42 cm}}[/tex]
Question 3:[tex]P = (3b + 7) + (7b - 2) + (7b - 2)[/tex][tex]\boxed{\sf{P = 17b+3}}[/tex]
Question 4:[tex]P = 17(6) + 3[/tex]
[tex]P = 102 + 3[/tex]
[tex]\boxed{\sf{P = 105 \: m}}[/tex]
Find the lcd of the given rational equation
The LCD of the rational equation [tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex] is (x + 2) (x -1)(x - 2)
How to determine the LCD?The rational equation is given as:
[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex]
Factorize the quadratic denominator
[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{(x -1)(x - 2)}[/tex]
Write out the denominators
(x + 2), (x - 1) and (x -1)(x - 2)
Remove the repetition
(x + 2) (x -1)(x - 2)
Hence, the LCD of the rational equation is (x + 2) (x -1)(x - 2)
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Here is Diya's work writing the expression 6 - 2x + 5 + 4x with fewer terms. Describe the mistake that Diya made.
Diya's Work
6- 2x + 5 + 4x
4x +
9x
13x Write an expression equivalent to 6 - 2x + 5 + 4x that has two terms.
Answer:
Below.
Step-by-step explanation:
This is the correct solution:
6 - 2x + 5 + 4x
= -2x + 4x + 6 + 5
= 2x + 11.
It looks like they added unlike terms together (4x + 5) to give 9x (incorrect) then added the 4x to give 13x.
A rice field in the shape of a parallelogram is 300 m long. The perpendicular distance between the base and its opposite side is 7. What is asked for in the problem? 120 m. What is its area? 8. What facts are given? 9. What is the formula to solve the problem? 10. What is the complete answer?
Question : A rice field in the shape of a parallelogram is 300 m long. The perpendicular distance between the base and its opposite side is 120m . Find area .
Answer36000 sq. m
SolutionGiven :
parallelogram is 300 m long and distance between base and its opposite side is 120m* .
Length = 300 m
Perpendicular height = 120 m
Formula used :Area of parallelogram = Length × Perpendicular height.
=> 300 × 120
=> 36000 sq. m
_____________Parallelogram is a type of quadrilateral whose opposite sides are equal .What is the value of x?
42
21
19
38
Answer:
21.
Step-by-step explanation:
Angles subtended by the same arc on the circumference of the circle are congruent, so:
2x = 42
x = 21.
3. Find m2ABC.
(2x+14)
(x+7)°
Answer:
Step-by-step explanation:
This diagram shows the plan for a wooden deck. The scale dimensions of the deck are shown.
If the scale used in the diagram is 1/4 = 1ft.
what is the perimeter of the actual deck?
36 ft
48 ft
12 ft
3 ft
The function[tex]f(x)=-11sin (\frac{7}{3}x+\frac{1}{6}) - 2[/tex] models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.
Over what range of temperatures does the average rate of change in temperature fall?
Range of temperatures does the average rate of change in temperature fall -13F and 9 F
What is formula for Fahrenheit?The Fahrenheit temperature scale is used in the United States; the Celsius, or centigrade, scale is employed in most other countries and for scientific purposes worldwide. The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) representation is: °F = (9/5 × °C) + 32.
Given function:
f(x)= -11 sin(7/3 x+ 1/6) -2
The function will be maximum at
7/3 x +1/6= 3π/2
So, the maximum temperature will be
= -11 sin (3π/2) -2
= 11 -2
=9 F
The function will be minimum at
7/3 x +1/6= π/2
So, the maximum temperature will be
= -11 sin (π/2) -2
= -11 -2
= -13 F
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4. At a local print shop, 25 copies cost $1.50. At this rate, how much would 60 copies cost?
Answer:
60 copies would cost 3.60
Step-by-step explanation:
How do I look at the recently posted questions? i'm lost and I want to answer some questions but I forgot how to go to the section. Send help please.
There should be q icon that says give answer, to find new questions in that section refresh the page
1
Select the correct answer.
Which function defines (f + g)(),
f(t) = ln(2x) – 15
g(x) = 3 sin(I) – 7
=
OA. (f + 9) () = ln(2x) + 3 sin(x) + 22
3a )
OB
B. (f + g)() = ln(2x) + sin(o) – 66
OC. (f + 3)(0) = ln(2x) + 3 sin(a) – 22
(
In
D. ( + g)(x) = ln(2x) – 3 sin(x) = 8
Reset
Next
The addition of the functions f(x) and g(x) will be ln (2x) + 3 sin(x) – 22. Then the correct option is C.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The functions are given below.
f(x) = ln (2x) – 15
g(x) = 3 sin(x) – 7
Then the addition of the function will be
(f + g)(x) = f(x) + g(x)
(f + g)(x) = ln (2x) – 15 + 3 sin(x) – 7
(f + g)(x) = ln (2x) + 3 sin(x) – 22
Then the correct option is C.
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Answer:
See photo
Step-by-step explanation:
Plato/Edmentum
Help me answer this please
Answer:
scale factor = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
the scale factor is the ratio of corresponding sides , Q to P , then
scale factor = [tex]\frac{3}{4}[/tex]
[tex]x \6 - 1 = x \4 + 1 \2[/tex]
answer. the question pls pls pls pls
Answer:
-18
Step-by-step explanation:
Hope it helps....................................................
The probability of spinning am even number is 40%. What is the probability of not spinning an even number, written as a decimal
Answer:
That would be 0.6 that means 60 percent.
Answer:
Probability of not spinning an even number is 0.6
Step-by-step explanation:
Total probability is 100 since it represented by %.
Therefore if 40% is the probability of spinning an even number then that of not spinning an even number is simply
100% - 40% = 60%
Expressing 60% as a decimal gives us 0.6
one lap around a dirt track is 1 /3 of a mile. It takes Bryce 1/9 of an hour to ride one lap.
Answer:
3 miles/hour.
Step-by-step explanation:
If the question is what is Bryce's average speed over the lap it is:
Distance / time
1/3 / 1/9
= 1/3 * 9
= 9/3
= 3 miles/hour.
Question 13 of 17
Which values of x would make a polynomial equal to zero if
the factors of the polynomial were (x+4) and (x+8)?
Answer:
-4 and -8
Step-by-step explanation:
(x+4)(x+8) = 0
x+4 = 0 or x +8 = 0
x = -4 or x = -8
the diagram shows a cuboid 4cm, 5cm and 9cm what is the surface area of the cuboid?
length= 9 cm
width= 5 cm
height= 4 cm
to find:the surface area of the given cuboid.
solution:[tex]s.a = 2(lb + bh + lh)[/tex]
[tex]s.a = 2((9 \times 5) + (5 \times 4) + (9 \times 4))[/tex]
[tex]s.a = 2(45 + 20 + 36)[/tex]
[tex]s.a = 2 \times 101[/tex]
[tex]s.a = 202 \: {cm}^{2} [/tex]
therefore, the surface area of the given cuboid is 202 square centimeters.
Help pleaseEEEEEEEEE i need it badlyyyy
volume: volume of cone is 1/3πr^2h
radius is 2
height is 6
plug into equation: 1/3π(2)^2*6=about 2.55 or 8π
surface area: surface area of cone is πrs+πr^2 where s is slant height.
to find slant height use pythagorean theorem: √(2^2+6^2)=√40
radius: 2
height:6
slant height: √40
plug into equation: π(2)(√40)+π(2^2)=about 52.30 or 4√10π+4π
In the figure below, \overline{AC}
AC
start overline, A, C, end overline and \overline{BD}
BD
start overline, B, D, end overline are diameters of circle PPP.
What is the arc measure of minor arc \stackrel{\large{\frown}}{BC}
BC
⌢
B, C, start superscript, \frown, end superscript in degrees?
The measure of minor arc BC is equal to ∠BPC which is 147 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
From the diagram:
4k + 159 = 2k + 153 (vertical opposite angles are equal)
4k + 159 = 2k + 153
k = -3
Arc Bc = 4k + 159 = 4(-3) + 159 = 147
The measure of minor arc BC is equal to ∠BPC which is 147 degrees.
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Answer: 147 :)
Step-by-step explanation:
khan academy