1. Find the value of x in this figure.
Answer:
x = 30º
Step-by-step explanation:
Let's call the midpoint of OP, R.
The triangle of OQR would be an equilateral triangle since OQ = OR as they are both radii and is OQR and ORQ are 60º, ROQ is also 60º, making the triangle equilateral. Because tangents meet a circle at 90º, the angle RQP would be 30º and since angles on a straight line add to 180º, the angle QRP would be 180-ORQ which is 120º. Now we know the 2 angles in triangle of QRP so we can work out the final angle since angles in a triangle add to 180º. So:
180 - 120 - 30 = 30º.
x = 30º
This would also prove that QR and RP are the same since base angles in an isosceles triangle are equal.
You pick a card at random.
6
7
8
9
What is P(less than 7)?
Write your answer as a fraction or
whole number.
These are the first four terms of a sequence. 3 -1 -5 -9. Find the nth term.
Answer:
4n-1
Step-by-step explanation:
Diffrence bweetween each number, 3 and -1, -1 and -5, -5 and -9 is 4
4n
find the closest numbers
4*1=4
4*0=0
4*-1=-4
4*-2=-8
now we figure out how to make these numbers into our terms of this sequence
4n-1
4*1-1=3
4*0-1=-1
4*-1-1=-3
4*-2-1=-9
so the nth term is 4n-1
what is the slope intercept of 3x-2y=-16.
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[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the slope-intercept form of 3x-2y=-16?
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
✥ First, we need to subtract 3x on both sides, which results in
-2y=-16-3x
Or
-2y=-3x-16
[tex]\bigstar[/tex] Now, divide by -2 on both sides:-
[tex]\bold{(-2y):-2=(-3x-16):-2}[/tex]
On simplification,
[tex]\bold{y=\dfrac{3}{2} x+8}[/tex]
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Please help me guys
a) If 2 Tan a = 3 Tan B, then show that Tan (a-B) =5 sin2b/5Cos 2B-1
Given that :-
2 tan A = 3 tan BProve that :-
Tan (a-B) = [ sin 2B/(5 – cos 2B)]Taking RHS :-
= sin 2B/(5 – cos 2B)] = [(2 tan B)/(1 + tan2B)]/ [5 – {(1 – tan2B)/(1 + tan2B)}]
= (2 tan B)/ [5(1 + tan2B) – 1 + tan2B]
= (2 tan B)/[5 + 5 tan2B – 1 + tan2B)
= (2 tan B)/(4 + 6 tan2B)
= (2 tan B)/[2(2 + 3 tan2B)]
= tan B/(2 + 3 tan B tan B)
Dividing the numerator and denominator by 2,
= [(1/2) tan B]/ [1 + (3/2) tan B tan B]
= [(3/2) tan B – tan B]/[1 + tan A tan B] {from (i)}
= (tan A – tan B)/(1 + tan A tan B)
= tan(A – B) = LHS
Solve for x and y. The triangles in each pair are similar
Answer:
x=13.69
Step-by-step explanation:
154/30=5.13
33*5.13
plugin
13.69
Write the equation of the line in fully simplified slope-intercept form.
Answer:
the line is going 1/1 so y=1x+2
Step-by-step explanation:
y=mx+b
1 is the slope
2 is the intercept of the graph
What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?
A. 4
B. 8
C. 80
D. 200
200
Step-by-step explanation:
1/5x -2/3y =30
Plug in 15 for y.
x-(15)= 30
2/3x of 2/3(15) is 10.
1/5x -10-30
Add 10 to each side.
1/5x = 40
Divide each side by 1/5.
(dividing by a fraction is the same as multiplying by its reciprocal...flip 1/5...*5)
x=200
Function g is a transformation of the parent exponential function, . Which graph shows function g?
Answer:
the answer is b! i got the same question before!
Step-by-step explanation:
48 divided by 76.8
I am very confused on the two digits numbers
The pool where Asha swims is rectangular.
It is 2500 cm long and 1250 cm wide.
The four sides of the swimming pool are 150 cm deep.
They are covered with small square tiles of different colours.
The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The pool where Asha swims is rectangular. It is 2500 cm long, 1250 cm wide and 150 cm deep.
Hence:
Volume of the pool = 2500 * 1250 * 150 = 4.6875 * 10⁸ cm³
The rectangular pool where Asha swims would need 4.6875 * 10⁸ cm³ of water to make it full.
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In how many ways can we stack 10 books?
The arrangement of items can be done with the use of permutation. The stacking of the number of books in the question can be done in 3,628,800 ways.
The arrangement of a given number of items can be done when definite numbers are to be considered at once by the use of permutation. A permutation is a mathematical method that can be used to determine the number of ways by which given items are to be arranged in a particular order.
Given that 10 books are to be stacked, the number of ways (n) that this can be done can be determined by:
n = 10!
= 10 x 9 x 8 x7 x6 x5 x4 x3 x2x 1
n = 3,628,800
Therefore, the 10 books can be stacked in 3,628,800 ways.
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Find P(x > 120) provided that it is known that
= 95 and o = 14. Assume that the
distribution is approximately normal.
Select one:
а. 1.7936
b. 0.7852
c.0.9633
d. 0.0367
The probability when x is greater than 120 is 0.0367. Then the correct option is D.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The mean is 95 and the standard deviation is 14. Then the probability when x > 120 will be
The z-score will be
z = (120 - 95)/ 14
z = 1.7857
Then the probability will be
P(x > 120) = P(z > 1.7857)
P(x > 120) = 1 - P(x<120)
P(x > 120) = 1 - 0.96293
P(x > 120) = 0.0367
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Find the nth term
-7,-9, -11, -13,
, ,
Answer:
you are subtracting 2 so it would be like
-7,-9,-11,-13,-15,-17,-19
A Student was conducting as to determine how many house g apples could be packed in al bay Size at the local farmers. The average gala apples had a Of 3.5 inches. Given the farmer's market wanted to use a box that had the dimensions 16 in x 9in x 9in how many apples should fit based on the information provided by the table. (a) 30 (b) 35 (c)40 (d)
20in × 13in ×12in= 72 apples
12in × 12in × 12in= 40 apples
20in × 10in × 6in= 28 apples
Answer:
43.1
Step-by-step explanation:
1728/40 = 43.2
3120/72 = 43.3
What is the domain of the profit function P = 7m + 12n?
O A. Defined for all m> 0 and n_>0
B. Defined for all m _>0 and n > 0
C. Defined for all m> 0 and n > 0
D. Defined for all m _> 0 and n _> 0
Answer:
D
Step-by-step explanation:
without knowing anything about the background of the function and what it is used for, I give it the max. possible domain (the set or interval of all possible input values).
and so,
Defined for all m >= 0 and n >= 0.
there is no information provided that would eliminate m = 0 or n = 0.
A bookstore had 120 copies of a magazine. Yesterday the bookstore sold
of these copies. How many copies were sold yesterday?
Write your answer in simplest form.
Answer:
120
Step-by-step explanation:
120 copies sold yesterday
In the figure below, QRT and SRV are complementary,
What is the value of x?
find g(-3) g(2) g(4)
g(-3) = 0.5 =
[tex] \frac{1}{2} [/tex]
[tex]\huge\mathfrak\colorbox{white}{}[/tex]
g(2) as defined = 2
[tex]\huge\mathfrak\colorbox{white}{}[/tex]
g(4)= 8-4 = 4
Becky bought a display case with a rectangular lid that is 134 feet long and 56 feet wide.
What is the area of the lid?
Enter your answer as a mixed number in simplest form by filling in the boxes.
$$
ft²
Answer:
1 11/24
Step-by-step explanation:
u multiply both numeators and both denominators for example 1 3/4 5/6 i would first turn 1 3/4 into 7/4 and then multiply
Please help me ojn this question
Answer: r = 1.5
Step-by-step explanation:
The geometric sequence formula is in the attached image.
Using the formula, we take number 3, which is 9.
[tex]9 = 4(r)^{2} \\\frac{9}{4} = r^{2} \\\sqrt{\frac{9}{4}} = 1.5[/tex]
I sold a commodity for #16 and made a profit of 20% what percentage will I make if I sell at # 18?
Answer:
Step-by-step explanation:
since #16 = 20% then #18 will be 18/16 * 20%= 22.5%
A 2-pack of movie tickets costs $17.24. What is the unit price
Answer:
As the two pack of ticket cost 17.24. Mean that the unit or the price of one pack will be half of it which is
8.62
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
How can you find out the similarities and differences in a non-fiction text?
A. look at how the characters speak
B. look at how the subject or events are portrayed
C. look at the genre
The similarities and differences in a non-fiction text look at how the subject or events are portrayed.
What is a non-fiction text?Comparing non-fiction texts can focus on the similarities between the texts - things they have in common. You can also contrast texts and focus on their differences - things that set the texts apart from each other. You could compare and contrast the following:
Form – What types of text (letter, news report, etc) are they?
Purpose – What job (persuading, informing, advertising) is each text doing?
Audience – Who is the intended reader of the text?
Subject matter – What are the texts about?
Language choices – What kinds of words, images or rhetorical devices are being used?
Structure – How is the text ordered?
Tone – What is the overall tone or mood of the writing?
Non-fiction texts are all around us, and comparing them can help you become more aware of how language is being used in society. Comparing non-fiction texts can often prompt you to notice things that you might not have considered about a text in isolation.
Hence the similarities and differences in a non-fiction text look at how the subject or events are portrayed.
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what is the interquartile range of the data 24,25,27,36,37,42,42,43,49,49,50,53,59,61,65
IQR = Q3-Q1 = 53 - 36 = 17
Help. Please and thanks.
Answer:
(2,6)
Step-by-step explanation:
What is a dilation?
A dilation is a type of transformation that resizes an object.
To apply a dilation ( find the coordinates of a point after a dilation ) you must multiply the x and y values of the coordinates by the scale factor
Applying the dilation rule
We want to find the coordinate of vertex B after a dilation with a scale factor of 2. To do so we multiply the x and y value of vertex b by the scale factor or 2
Current coordinates of the triangle :
A(1,1) B(1,3)C(3,1)Coordinates after dilation
A' = (1,1) ===> (1×2,1×2) ===> (2,2)
B' = (1,3) ===> (1×2,3×2) ===> (2,6)
C' = (3,1) ===> (3×2,1×2) ===> (6,2)
The coordinate of the vertex B after the dilation is (2,6)
What statement is NOT true comparing the two
box and whisker plots?
Answer:
Its d
Step-by-step explanation:
Mrs. Forsyth has 130 pieces of candy. She wants to split it into fifths for each of her classes. How
many pieces of candy will each class get?
Answer: The answer is 26
I just divided it by 5
All-purpose carpeting costs $27.50 per square meter. What is the cost of carpeting a room from
wall to wall whose dimensions are 360 centimeters × 400 centimeters?
Step-by-step explanation:
I'm not sure if I got the correct answer since English is not my first language
A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground.
To the nearest tenth of a foot, how far from the building is the base of the ladder?
9.1 ft
30.5 ft
32.3 ft
39.5 ft
Answer:
the answer is C :) hope it helps
Answer:its actually 9.1 ft
Step-by-step explanation: i just took the same test