Answer:
132 degrees
Step-by-step explanation:
To solve this problem, you need to know a couple of rules
1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.
2)Angles of a quadrilateral shape add up to 360 degrees.
3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.
So first, solve angle S with inscribed angle theorem. 126/2 = 63
Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.
Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.
Let me know if this doesn't work, I'll look at it again.
For a given set of rectangles, the length varies inversely with the width. In one of these rectangles, the length is 2 and the width is 42. For this set of rectangles, calculate the width of a rectangle whose length is 7.
Answer:
Width = 12
Step-by-step explanation:
L = k/w
Where,
L = length of the rectangle
w = width of the rectangle
k = constant of proportionality
length is 2 and the width is 42
L = k/w
2 = k/42
k = 42 × 2
k = 84
calculate the width of a rectangle whose length is 7.
L = k/w
7 = 84/w
7w = 84
w = 84/7
w = 12
Width = 12
3. (a) Expand and simplify the following expression.
X(5x-2)-3(x^2-2x+7)
Answer:
5xX - 3x^2 - 2X + 6x - 21
Step-by-step explanation:
x(5x-2)-3(x^2-2x+7) =
5x^2-2x-3(x^2-2x+7)
=
5x^2-2x-3x^2+6x-21
=(combine the like terms)
2x^2-2x+6x-21
=
2x^2+4x-21
Which expression is equivalent to 1 4 ( 3 x + 4 y ) + 3 ( 1 4 x + 2 3 y ) ? 3 2 x + 3 y 3 halves x plus 3 y 3 2 x + 2 y 3 halves x plus 2 y 3 4 x 2 + 3 y 3 fourths x squared plus 3 y 3 4 x 2 + 2 y
Answer:
3x/2 + 3y
Step-by-step explanation:
Given the expression 1/4 ( 3x + 4y ) + 3 ( 1/4 x + 2/3 y)
Open the parentheses
= 1/4(3x) + 1/4(4y) + 3(1/4x) +3(2/3y)
= 3/4 x + y + 3/4 x +2y
Collect like terms
3/4 x +3/4 x +y+2y
6/4 x + 3y
3x/2 + 3y
Hence the correct expression is 3x/2 + 3y
12.
Given that cos θ= 1/2, we want to find the value of sin θ.
First, find the value of θ.
Answer:
sin(θ) = 0.86602540378
Step-by-step explanation:
To find the value of theta, we need to find do the acos of it
θ = acos(1/2)
θ = 60
and then you find sin(60)
sin(60) = 0.86602540378
Find the equation of the parabola with the vertex at (0, 0) and the focus at (- 1, 0)
A. Y^2=8x
B. Y^2= -4x
C. Y^2= -4y
D. Y^2= 4x
Answer:
Hi! The answer to your question is B. [tex]Y^2=-4x[/tex]
Step-by-step explanation:
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Please answer thank you so much
Answer:
2.85 and 3.45
Step-by-step explanation:
it gpea by 20s I think
2 students want pancakes and 9 students want waffles. What is the ratio of the number of
students who want pancakes to the number of students who want waffles?
Answer:
2:9
Step-by-step explanation:
To create the ratio, put the number of students that want pancakes to the number that wants waffles.
Since 2 want pancakes and 9 want waffles, the ratio will be 2:9
So, the answer is 2:9
Answer:
2:9
Step-by-step explanation:
beacause if every 2 students want pancakes and 9 want waffles
Can someone help me with these questions? I'm really lost.
1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.
(b) Explain your graph.
2. Graph the piecewise function.
f(x) = { 3x - 5 if x ≤ - 1 / -2x + 3 if -1 < x < 4 / 2 if x ≥ 4
3. Graph the step function over the interval -2 ≤ x ≤ 2.
f(x) = { x+ 3}
Answer:
Step-by-step explanation:
On the x axis have popcorn going up in 5s and up to the value 30 and on the y axis have drinks going up in 2.5s to the value 15.
The graph should look like similar to an 'exponential graph' because for every popcorn you buy, the drink will be half the price
Its probably late but, I hope this helped!!!.
Answer:
here is the graph!
Step-by-step explanation:
My graph represents the number of drinks and bags of popcorn that Judy will be able to purchase with her $30. For every two drinks Judy buy’s, she would have to buy one less popcorn.
Find the equation of a line that passes through the points (2,2) and (3,7).
Leave your answer in the form
y
=
m
x
+
c
Answer:
first find the gradient:
M;=∆y/∆x
hence;M=7_2/3_2=5/1
M=5
substituting in equation
y=mx+c take point (3,7) and point (x,y)
y-7/x-3=5
y-7=5(x-3)
y_7=5x_15
y=5x-15+7
y=5x-8
A fence is 10 feet tall. A stick leans against the fence as shown. What is the length of the stick?
I NEEDDD HEELPPPP
There are many cylinders with a height of 9 inches. Let rrepresent the radius in inches and V represent the volume in cubic inches
A. Complete the table relating the radius and volume of cylinders with each with a height of 9 inches. Write each volume as a multiple of it, or round to the nearest cubic inch.
hm its just that i dont know so maybe try do smth else
Find the height of the cuboid when the l=12 b=4 h=? Surface area =352 cm cube
Plssss answer me fasttt
Answer:
h=8
Step-by-step explanation:
Fast fast!jjdbdbdjdjdbxjdj
I need help in question 14
Answer:
Step-by-step explanation:
Amount she gets in a day = number of flower * cost of each flower
= (25x² +5x + 5)*5x
= 25x²*5x + 5x *5x + 5*5x
= 125x³ + 25x² + 25x
Amount she gets in 5 day = (125x³ +25x² + 25x)* 5
= 125x³*5 + 25x² *5 + 25x *5
= 625x³ + 125x² + 125x
AREA OF A TRAPEZOID PLEASE HELP
What is the value of x,when x+2=0
Answer:
x can be -2
Step-by-step explanation:
Let
f(x)=x+2
x+2=0
x= -2
Answer:
x = -2
Step-by-step explanation:
subtract 2 both sides x-2 0-2
first side left with x
second side -2
so your left with x=-2
Plzzzzzz help!!!!!!!!
help me plz! question shown in pic
Answer:
x=17
y=10
Step-by-step explanation:
hope this helps you
Can Someone Help Me With This I Beg You.
HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT
Answer:
solutions at -1 and 11
Step-by-step explanation:
(-b ± √b²-4ac) / 2a
in this problem, a = 1, b = -10, c = -11
(10±√100-4(-1)(-11)) / 2(1) =
(10 + √144) / 2 = 22/2 = 11
(10 - √144) / 2 = -2 / 2 = -1
2x + 2y = -16
put the following equation of a line into slope-intercept form, simplifying all fractions.
Answer:
y=-x-8
Step-by-step explanation:
2x+2y=-16
2x+2y+16=0
2x+16=-2y
x+8=-y
-x-8=y
The vertices of a figure are given. Draw the figure and its image after a dilation with the given scale factor. Then identify the type of dilation.
The vertices of a figure are given. Draw the figure and its image after a dilation with the given scale factor. Then identify the type of dilation.
Answer:
what is the picture????
120 students of a hostel food enough for 60 days. if 30 more students joined after 15 days. how long will the remaining food last.
Answer:
24 days
Step-by-step explanation:
120 students =30 days
120+30 =150 students
MORE/LESS METHOD
120 students (a) : 30 days(y)
150 students (b) : x
Find the value of x using the formula: a/b × y
If you think the value of x will be more than y then the bigger number will be the numerator. If u think x will be less, then the smaller number will be in the numerator.
I predict that x will be less than y
THEREFORE... 120/150 ×30
= 24 days
Step-by-step explanation:
ans is simple so plz tell me that it is right or wrong and also it is helpful to u or not
plss help n dont be a B n give me sum gæy link :|
Solve for x
-3x + 6 = 2x - 24
A) -30
B) -6
C) 6
D) 30
Answer:
6
Step-by-step explanation:
ok
Lets start by grouping like terms
we get
-5x=-30
divide -5 from both sides
x=6
Answer:
x = 6 or C) 6
Step-by-step explanation:
Step 1: We will subtract 2x from both sides.
−3x + 6 − 2x = 2x − 24 − 2x
To understand a bit better: -3x - 2x = -5x and 2x - 2x = 0 so it will end up looking like this:
−5x + 6 = −24
Step 2: We will subtract 6 from both sides.
−5x + 6 − 6 = −24 − 6
−5x = −30
Step 3: We will divide both sides by -5.
−5x/−5 = −30/−5
Both will equal to positive 6 so it is your x, I hope this somewhat helped you better understand the equation!
Solve each equation
a. 1/7x + 3/4 = 9/8
b. 2/3 + 1/5x=5/6
c. 3/2 = 4/3x + 2/3
d. 0.3x + 7.9 = 9.1
e. 11.03 = 8.78 + 0.02x
Answer:
e i hope that is correct answer
Answer:
a. x=21/8
b.x=5/6
c.x=5/8
d.x=4
e.x=112.5
Step-by-step explanation:
Geometry Transversals simple answer needed
Answer:
C) 70
Step-by-step explanation:
m<1 = m<3 because of vertical angles
Since <3 = 70,
<1 also equals 70
need help.................
Answer:
10218.75
Step-by-step explanation:
You should divide the two shapes into a rectangle and a triangle, find the area of each, then add them together like so:
For the rectangle:
37.5*22.5 = 843.75
For the triangle:
To find the base: 75 - 37.5 = 37.5
To find the height, use pythagoream theorem.
62.5² = 37.5² + b²
3906.25 = 1406.25 + b²
3906.25 - 1406.25 = 2500
√2500 = 50.
The height is 50, so 50*37.5(1/2)
= 937.5
Now add them together
937.5 + 843.75
What is the area of 30/7 and 1/3
Answer:
The answer is 7/4 = 1 3/4 = 1.75 = seven quarters (or one and three quarters) ... numbers, be sure to leave a single space between the whole and fraction part.
Step-by-step explanation:
2 % of 687.28 m Give your answer rounded to 2 DP.
Answer:
13.75m
Step-by-step explanation:
Jenny collects seashells and interesting rocks. She keeps her collections in boxes shaped like rectangular prisms. Her seashell box is 5 inches tall and has a volume of 200 cubic inches. Her rock box has a volume of 280 cubic inches. The area of the base of both boxes is the same. How tall is Jenny's rock box?
Answer:
7 in
Step-by-step explanation:
volume of a rectangular prism = width x height x length
width x length = area of the base
the sea shell box
200 = width x length x 5
width x length = 200/5 = 40cm^2
rock box
280 = 40in^2 x height
height = 280/40 = 7 in
Mai’s mother was 28 when Mai was born. Mai is now 12 years old.
How old will they be then?
Answer:
Mai is 12 and Mai's mother would be 40.