Answer:
56.52 cm²Step-by-step explanation:
Area of sector:
S = πr²θ/360Substitute the values and find the area:
r = 9 cmθ = 80°S = 3.14*9²*80/360 = 56.52 cm²raise irrational number to rational power and get a rational number
9514 1404 393
Answer:
(√2)² = 2
Step-by-step explanation:
You can do this for any rational root of a rational number. Simple examples are squares and cubes:
(√5)^2 = 5 . . . . . . √5 is irrational
(∛6)^3 = 6 . . . . . . . ∛6 is irrational
__
You can also do it with other rational roots:
x = 83^(2/3) is irrational
x^(3/2) = 83 is rational
If ABCD is dilated by a factor of }, the
coordinate of B' would be:
5
С
4
3
B
2
1
-5
4 3
-2
-10
1
2
3
4
5
-1
A
B' = ([?], [ ]
D
-3
Enter
Answer:
If ABCD is If ABCD is dilated by a factor of }, the
coordinate of B' would be:2
Circles in the Coordinate Plane
Acellus
Complete the equation of this circle:
А
1
Answer:
(x -+2)² + (y - 4)² = 36
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 2, 4) and r = 6 , then
(x - (- 2))² + (y - 4)² = 6² , that is
(x + 2)² + (y - 4)² = 36 ← equation of circle
The ratio of people watching whales to people fishing was five to seven if there were 72 people in all how many were fishing
There were 42 people who are fishing if the ratio of people watching whales to people fishing was five to seven.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
We have been given that the ratio of people watching whales to people fishing was five to seven if there were 72 people.
Let the number of people who watch whales would be 5x
And the number of people who are fishing would be 7x
According to the given condition, the required solution would be as:
⇒ 5x + 7x = 72
⇒ 12x = 72
⇒ x = 6
So the number of people who are fishing = 7 × 6 = 42
Therefore, there were 42 people who are fishing.
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what is the domain of the function in the graph?
Answer:
6AJNSDJN
Step-by-step explanation:
please please jhelp me....
Answer:
2·v - (u + w) = (5, 0, -10)
Step-by-step explanation:
The given values of the vectors are;
u = (2, -1, 3), v = (4, 0, -2), and w = (1, 1, 3)
The required vector is 2·v - (u + w)
2 × v = 2 × (4, 0, -2) = (8, 0, -4)
(u + w) = (2, -1, 3) + (1, 1, 3) = (3, 0, 6)
Therefore;
2·v - (u + w) = (8, 0, -4) - (3, 0, 6) = (5, 0, -10)
2·v - (u + w) = (5, 0, -10)
36. Given that y varies directly with x,
what is the equation of direct variation
if y is 3 when x is 7?
Answer:
A. y = 3/7x
Step-by-step explanation:
Direct variation: y = kx
3 = 7k
k = 3/7
y = 3/7x
Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white
paint to make pink. Gina mixed 4 pints of red paint with 3 pints of white
paint to make pink.
Yesterday, Gina again mixed red and white paint and made the same
amount of paint, but she used one more pint of red paint than she
used last week. Predict how the new paint color will compare to the
paint she mixed last week.
Answer:
Step-by-step explanation:
First mix: 4 pints red and 3 pints white = 7 pints in 4:3 ratio.
Second mix: 5 pints red and 2 pints white = 7 pints in 5:2 ratio
Second music is redder than first mix.
− 96 ÷ −6 ÷ 8 =
a) 2 b) -2
Answer:
answer is 2
Step-by-step explanation:
answer is 2…………………………………
Solve: 6 - x=-12 )
A) -18
B) C 0
D) 18
Answer:
D) 18
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
[tex]6 - x = - 12 \\ constants \: nearer \\ 6 + 12 = x \\ x = 18 \\ thank \: you[/tex]
Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 pairs of socks cost as much as one pair of jeans. How many coats could I exchange for 64 pairs of socks?
Answer:
4 coats
Step-by-step explanation:
Let the cost of a pair of shoe be x.
Thus, 6 pairs would cost; 6x
Thus,1 coat will cost 6x.
2 pairs of jeans cost as much as 3 pairs of shoes.
Thus, 2 pairs of jeans will cost 3x.
4 pairs of socks cost as much as one pair of jeans.
If 2 pairs of jeans cost 3x
Then 1 pair will cost 3x/2 = 1.5x
Thus, 4 pairs of socks will cost 1.5x.
Thus, 1 pair of socks will cost 1.5x/4
Then, 64 pairs of socks will cost;
64 × 1.5x/4 = 24x
Earlier, we saw that 1 coat costs 6x.
Thus means that;
Number of coats to exchange for 64 pairs of socks = 24x/6x = 4 coats
Find the value of x. Round to the nearest tenth
Step-by-step explanation:
use cos since we're given the adjacent and asked to find the hypothenus.
cos 33° = 6/x
cross multiply
xcos33° = 6
divide both sides by cos 33°
(cos 33 is approximately 0.8387)
then x = 7.15
Answer:
[tex]x \approx 7.2[/tex]
Step-by-step explanation:
The given triangle is a right triangle this is indicated by the box around one of its angles, signifying that the angle is a right angle. One of the properties of a right triangle is the right angle trigonometric ratios. these are a series of ratios that relate the sides and angles of a right triangle. Such ratios are as follows:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Please note that the sides named ([tex]opposite[/tex]) and ([tex]adjacent[/tex]) Are subjective and change based on the angle by which one refers to. However the side ([tex]hypotenuse[/tex]) indicates the side opposite the right angle, this side does not change its name.
In this case, one is given a (33) degree angle, and the measure of the side adjacent to is, (6). One is asked to find the measure of the hypotenuse (x). It would be most logical to use the ratio of cosine (cos). Substitute the given values in and solve for (x).
[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]
[tex]cos(33)=\frac{6}{hypotenuse}[/tex]
Inverse operations,
[tex]cos(33)=\frac{6}{hypotenuse}[/tex]
[tex]hypotenuse=\frac{6}{cos(33)}[/tex]
[tex]hypotenuse \approx 7.15[/tex]
*NEED AN ANSWER ASAP* My book didn’t explain how to solve these ones.
Answer:
1-2. AC = 13.6
BC = 8.9
3-4. A triangle such as the given value isn't possible
Evaluate the following expression 2x - |4 - 7x| when x = -3
Answer:
-31
Step-by-step explanation:
2x - abs(4 - 7x)
2x = 2 * - 3 = - 6
4 - 7x = 4 - 7*-3 = 4 + 21 = 25
-6 - abs(25)
-6 - 25 = -31
You should note three things.
1. the absolute value of 25 is 25
2. There is a - sign outside the influence of the 25 so 25 becomes - 25
3. - 6 - 25 = - 31
|x-2| + |x+1| -5=0
find x
Answer:
|x-2| + |x+1| -5=0
⇒|x-2| + |x+1|=5
⇒x-2+x+1=5
⇒2x=6
⇒x=3
Step-by-step explanation:
For the function determine:
Answer:
answer for number a is 3/2
answer for number b is 6
answer for number c is 8
42°
Х
please help with this
Answer:
X=48degrees.
Step-by-step explanation:
Sum of all angle of traingle=180degrees.
So, 90+42+X=180
132+X=180
X=180-132=48degrees
WHY IS MATH SO HARDDDD
Math seems difficult because it takes time and energy. Many people don't experience sufficient time to "get" math lessons, and they fall behind as the teacher moves on.
If g(x) = (x + 2)/3, find g(-8).
Answer:
-2
Step-by-step explanation:
Substitute -8 in place of x and you get (-8+2)/3 or -6/3 which is -2
Answer:
g(- 8) = - 2
Step-by-step explanation:
To find g(- 8) substitute x = - 8 into g(x) , that is
g(- 8) = [tex]\frac{-8+2}{3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
How do you find the diameter of a quarter circle?
Answer:
um 1/4
Step-by-step explanation:
What is (9.3x10^34) in scientific notation?
(3.1x 10^17)
Answer:
B
Step-by-step explanation:
3 x 10 ^17
Which is B
edit: So when doing scientific notation, you just divide the important first number of 9.3 or whatever by 3.1 like normal.
Then, when doing exponents, heres a rule of thumb.
When adding exponents, the base must be the same.
9.3 ^ 100 + 9.3 ^ 3 = 9.3 ^103
9.3 ^ 29 + 4.4 ^ 54 = cannot be solved
When subtracting exponents, the same rule applies as adding, the bases must be the same, otherwise, you just subtract or add like normal.
When dividing exponents, you just subtract exponents. The bases must be the same though of course.
3 ^ 30
----------
3 ^ 20
==== 3 ^ 10
When multiplying exponents, you add exponents like normal. Bases are the same ect.
4 ^ 49 x 4 ^ 2 = 4 ^ 51
When doing scientific notation, the same rule applies.
The 10 is the base, so in your case, you divide the 9.3 and 3.1 like normal to get 3.
The exponent by the 10 is subtracted to get 17 since 34 - 17 = 17.
Help me please, this all is of 4 marks
Step-by-step explanation:
1) 250 n(tnc)
2) 100
this your answer
21in. = _____ft. terminating or repeating
Answer:
Terminating
Step-by-step explanation:
We know that 12 inches is 1 foot. We can divide to find how many feet we have.
21 / 12 = 1.75
Since the decimal ends at 0.05, the decimal is terminating.
Best of Luck!
Which of the following characteristics best describes the given function of
f(x) = -2x + 5 ?
A) minimum, always decreasing, exponential function
B) minimum, always decreasing, linear absolute value function
C) no maximum or minimum, always increasing, linear function
D) no maximum or minimum, always decreasing, linear function
Answer:
D
Step-by-step explanation:
the Negative sign in front of 2 shows the function is decreasing
The Line segments are translated 2 units to the left to form A’B’ and C’D’. Which statement describes A’B’ and C’D’?
Answer:
Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD.
Step-by-step explanation:
which of the following is a prime number (a).111 (b)91 (c).61 (d).51
Answer:
(c).61
Step-by-step explanation:
61 is a prime number. The number is divisible only by 1 and itself.
Need help asap, thanks :)
Answer:
937
425
Step-by-step explanation:
9 is the square of 3
7 is 1 more than 6, the double of 3
4 is the square of 2
5 is 1 more than 4, 2x 2
Is there more?
Answer:
425
Step-by-step explanation:
1st = 2^2
3rd = 2*2 + 1
Given that QR¯∥ST¯, identify the length of PT¯.
Answer:
PT = 16.3 units
Step-by-step explanation:
From the picture attached,
From ΔPQR and ΔPST,
QR ║ST [Given]
PQ is a transversal line.
Therefore, ∠PST ≅ ∠PQR [Corresponding angles]
∠P ≅ ∠P [Common angle]
ΔPQR ~ ΔPST [By AA property of similarity of two triangles]
Therefore, by the property of similarity, corresponding sides of the similar triangles will be proportional.
[tex]\frac{PQ}{PS}=\frac{PR}{PT}[/tex]
[tex]\frac{12+28}{28}= \frac{PT+7}{PT}[/tex]
[tex]\frac{40}{28}=1+\frac{7}{PT}[/tex]
[tex]\frac{10}{7}-1=\frac{7}{PT}[/tex]
[tex]\frac{10-7}{7}=\frac{7}{PT}[/tex]
PT = [tex]\frac{49}{3}[/tex]
PT = 16.3 units
Copy and complete the table.
Answer:
See pic below.
Step-by-step explanation:
Identify the sample space of the probability experiment: shooting a free throw in basketball.
The sample space of the probability experiment: shooting a free throw in basketball. is [tex]n(X)=2[/tex] from the calculations below
Sample space:In probability theory, the sample space (also called sample description space of an experiment or random trial is the set of all possible outcomes of the experiment.
Let
The sample space for a player shooting single free throws be equal to X
Let Scored free throws be A
And missed free throws be B
Generally the possible outcomes is mathematically given as
[tex]X=(A,B)[/tex]
Therefore
In conclusion the Sample space of the probability experiment of shooting a free throw in basketball is
[tex]n(X)=2[/tex]
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