The number -32 belongs to set : A) integers, rational
Rational numbers are terminating or repeating real numbers. Whereas, irrational numbers are the complement of rational number with real number being the universal set. These numbers are non terminating non repeating real number.
Integers are a subset of rational number. These are numbers not in fraction or decimal, or say with a denominator 1.
Whole numbers are subsets of integers which are positive, or say integers greater than equal to 1.
Given number : -32.
Since, the number is terminating, it is rational.
Further, it is not a fraction or decimal, hence integer.
But since the number is negative, not a whole number.
Therefore A) Integers, rational is correct option.
Learn more about rational number here
https://brainly.com/question/17450097
#SPJ2
what is the estimate difference between 2.97 1 2/11
Answer:
2
Step-by-step explanation:
Estimate 1 2/11 to 1.
Estimate 2.97 to 3.
3 - 1 = 2
Answer:
B
Explanation
I took the quiz
Dave ran 3.52 miles in the same time
that Eric ran 2.44 miles. How much
further did Dave run than Eric?
There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 reds?
Answer:
2/7
Altogether there're 7 marbles. Let,probability of getting blue and red marbles be 'B' and 'R' respectively.
In 1st pick
Probability of getting red marble is 4/7
So, there's the probability that the ball in 1st pick may be either blue or red.
So,if the marble is red then we've to eliminate that red marble ( cause,question says so)
Then,in 2nd pick
Probability of getting red ball will be 3/6(if we eliminate that red ball then the total number of marbles will also be 6)
Now,
Probability of getting two red will be
(4/7)×(3/6)
=2/7
It would be more easier to do by tree diagram. Since,I didn't find it convenient here,it may be not so much helpful.But, I tried my best. Hope you are clarified.
are the triangles similar?
Answer:
Yes.
Step-by-step explanation:
The angles of the triangles add up to be 180. 180 - 114 - 31 = 35. 180-114-35 = 31. Since the angles of the triangles correspond and are congruent, the triangles are similar, with PQR corresponding to TUS.
Hope this helps !
A line contains the point (8,-5). If the slope of the line is write the equation of the line using point-slope form
Answer:
[tex]\bold{y+5=\frac57(x-8)}[/tex]
Step-by-step explanation:
[tex]y-y_1=m(x-x_1)[/tex] - point-slope form of Equation of the Line
[tex](8,-5)\ \ \implies x_1=8\,,\ y_1=-5\\\\m=\frac57\\\\equation:\\{}\qquad\qquad y-(-5)=\frac57(x-8)\\\\{}\qquad\qquad y+5=\frac57(x-8)[/tex]
Can someone help me with this question please?
Answer:
a.) (0,4) b.) (-4,0)
Step-by-step explanation:
a.) Let x=0 and solve for y: y=0+4=4. Since we let x=0 the first number will be 0 and we found y to be 4, so our coordinates are (0,4)
b.) Let y=0 and solve for x: 0=x+4, x=-4. Since x=-4 our first number is -4, since y is 0 our second number is 0, so our coordinates are (-4,0)
Hope this helps!
PLEASE PLEASE PLEASE LOOK AT THIS & HELP ME
Answer:
(4, - 5 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x ) , thus
(5, 4 ) → (4, - 5 )
Answer:
(4,-5)
Step-by-step explanation:
Definition : Rotate around the origin 270 degrees. ' Since the rule for a 270 degrees rotation is (x, y) --------> (y, -x)
P(5,4) the mage is x=4, y=-5
Please help me!
30g of cornflakes contain 2.5g of fat
How many grams of fat are there in 566g of cornflakes?
Give your answer to 1 dp
Answer:
47 .2 Grams 0f FatStep-by-step explanation:
[tex]30g ----> 2.5g -fat\\566g ----> xg -fat\\30x = 1415\\\frac{30x}{30} =\frac{1415}{30} \\\\x = 47.1666\\\\x = 47.2g of Fat[/tex]
what is the slope of the line that contains these points (-2 2) and (3 3)
Answer:
[tex]\bold{m=\dfrac15}[/tex]
Step-by-step explanation:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-2,\,2)\ \implies\ x_1=-2\,,\ y_1=2\\(3,\,3)\ \implies\ x_2=3\,,\ y_2=3\\\\m=\dfrac{3-2}{3-(-2)}=\dfrac{1}{3+2}=\dfrac15[/tex]
Please answer this question now in two minutes
Answer:
67 degrees.
Step-by-step explanation:
The two quadrilaterals are congruent, with angle T corresponding to angle F, angle U corresponding to angle C, angle V corresponding to angle D, and angle W corresponding to angle E.
A quadrilateral's interior angles add to be 360 degrees.
x + 138 + 67 + 88 = 360
x + 293 = 360
x = 67
So, angle D is 67 degrees.
Hope this helps!
A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (4, 3). Fill in the blank to find the y-intercept.
Answer:
The y - intercept is (0, 4)
Step-by-step explanation:
The equation x + 4y = 8 is in 'standard form.' Any line parallel to this line has an equation that looks exactly the same EXCEPT for the constant.
So, let's write out x + 4y = 8 and replace the 8 with C.
x + 4y = C
Now take the coordinates of the given point (4, 3) and substitute them into the above equation: 4 + 4(3) = C = 16
Thus, the equation of the line passing through (4, 3) is x + 4y = 16.
To find the y-intercept, set x = 0 and calculate y:
0 + 4y = 16, or y = 4
The y - intercept is (0, 4)
Draw a circle with center A and a radius of your choice. Create three well-spaced points, B, C, and D, on the circle in clockwise alphabetical order. Draw two radii, AB and AC , and draw two chords, DB and DC . Measure and record m∠CAB and m∠CDB. Take a screenshot of your diagram with the measurements, and paste it below.
Answer:
Please find attached the required circle
It is observed that the angle subtended by the arc CB which are m∠CAB and m∠CDB is such that the angle arc CB subtends at the center, m∠CAB is two times the angle that the arc CB subtends at the circumference
The measured angle subtended by the arc CB at the center m∠CAB = 64° and the measured angle subtended by the arc CB at the circumference m∠CDB = 32°
Step-by-step explanation:
T
Answer:
from edmentum
Step-by-step explanation:
Kevin wants to buy an area rug for his living room. He would like the area rug to be no smaller that 24 square feet and no bigger than 48 square feet. If the length is 2 feet more than the width, what are the range of possible values for the width?
Answer: 6 feet to 8 feet
Step-by-step explanation: 6x4=24 8x6=48
Find the slope of a line parallel to each given line and graph.
y=9x+5
Answer:
9
Step-by-step explanation:
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 9x+5
The slope is 9
Parallel lines have the same slope so a line parallel would have a slope of 9
Answer:
i think the slope is 9.
because y= 9x+5 is in the form of slope intercept form.
as y=mx + c (where m is the slope of the equation.)
therefore, the slope (m )= 9....ans
hope it helps....
Which system below has no solution? y = 4x and y = 2x - 3 y = -4x and y = 2x - 3 y = -4x and y = 2x + 3 y = -4-x and y = 2x - 3
Answer:
y=4x
Step-by-step explanation:
this is because all other systems are defined and can be solved simultaneously...
pls lime and follow me ...i follow back...thanks
i need help from uh all..
Answer:
Step-by-step explanation:
Given expression is,
[tex]\text{cot}A=\frac{1}{2}(\text{cot}\frac{A}{2}-\text{tan}\frac{A}{2})[/tex]
To prove this identity we will take the right side of the identity,
[tex]\frac{1}{2}(\text{cot}\frac{A}{2}-\text{tan}\frac{A}{2})=\frac{1}{2}(\frac{1}{\text{tan}\frac{A}{2}}-tan\frac{A}{2})[/tex]
[tex]=\frac{1}{2}(\frac{1-\text{tan}^2\frac{A}{2}}{tan\frac{A}{2}})[/tex]
[tex]=\frac{1}{2}[\frac{2(1-\text{tan}^2\frac{A}{2})}{2tan\frac{A}{2}}][/tex]
[tex]=\frac{1}{2}(\frac{2}{\text{tan}A} )[/tex] [Since [tex]\text{tan}A=\frac{2\text{tan}\frac{A}{2}}{1-\text{tan}^2\frac{A}{2}}[/tex]]
= cot A
Hence right side of the equation is equal to the left side of the equation.
Please please help!!! Study the diagram of circle Z. Points P, O, Q, and R lie on circle Z in such a way that OP¯¯¯¯¯¯¯¯≅QR¯¯¯¯¯¯¯¯. If m∠QZR=(2x+9)∘ and m∠PZO=(4x−11)∘, what is the value of x?
x=3.3
x=15.3
x=10
x=12
Answer:
The correct option is
x = 10
Step-by-step explanation:
in a circle Given that chord [tex]\overline {OP}[/tex] is congruent to [tex]\overline {QR}[/tex], we have;
Measured angle m∠RZQ is congruent to measured angle m∠PZO
Congruent chords are subtended by congruent angles at the center of the circle
Therefore we have;
4·x - 11 is equal to 2·x + 9
4·x - 2·x = 9 + 11
2·x = 20
x = 10
The value of the measured angles are;
4·x - 11 = 4×10 - 11 = 40 - 11 = 29°
The value of x is 10°.
Answer:
x=10
Step-by-step explanation:
4·x - 11 is equal to 2·x + 9
4·x - 2·x = 9 + 11
2·x = 20
x = 10
The value of the measured angles are;
4·x - 11 = 4×10 - 11 = 40 - 11 = 29°
The value of x is 10°
Two similar triangles are shown.
to create
AXYZ was dilated, then
AQAG
translated
reflected
dilated
rotated
Answer: reflected
Step-by-step explanation:
The triangle ΔXYZ was dilated and then it was reflected to create ΔQAG.
What are the types of translations?There are three types of translations -
reflectionrotationdilationGiven is a triangle ΔXYZ.
It is asked to find the type of translation that would result in ΔQAG.It can be seen in the figure that the triangle XYZ is reflected across the given line to form triangle QAG.So, we can we can replace the blank with Option - 2 : reflected.Therefore, the triangle ΔXYZ was dilated and then it was reflected to create ΔQAG.
To solve more questions on graph rotation, visit the link below-
https://brainly.com/question/19527326
#SPJ7
Flying against the wind, an airplane travels 7520 kilometers in 8 hours. Flying with the wind, the same plane travels 6500 kilometers in 5 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer:
Rate of plane in still air = 1120 km/h
Rate of wind = 180 km/h
Step-by-step explanation:
Let the rate (speed) of the plane in still air = u km/h
Let the rate (speed) of the wind = v km/h
Formula for speed is:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Given that against the wind, airplane travels 7520 km in 8 hours.
The speed against the wind will be slower so,
Against the wind, speed = (u -v ) km/h
Using above formula:
[tex](u-v) = \dfrac{7520}{8} km/h\\(u-v) = 940 km/h ..... (1)[/tex]
Given that with the wind, airplane travels 6500 km in 5 hours.
The speed with the wind will be faster so,
With the wind, speed = (u +v ) km/h
Using above formula:
[tex](u+v) = \dfrac{6520}{5} km/h\\(u+v) = 1300 km/h ..... (2)[/tex]
Adding (1) and (2) to solve for u and v:
[tex]2u = 2240\\\Rightarrow u = 1120\ km/h[/tex]
Putting u in (1):
[tex]1120-u=940\\\Rightarrow u = 180\ km/h[/tex]
So, the answers are:
Rate of plane in still air = 1120 km/h
Rate of wind = 180 km/h
100 members of a Gym are surveyed. The results are shown below. Given the gym member chosen at random is a female, what is the probability that they were aged 20+?
Answer:
[tex] \frac{17}{28}[/tex]
Step-by-step explanation:
There are 56 females
There is 56 females
34 are 20+
34/56 simplfies to 17/28
what is the measure of x? 68 degrees 70 degrees
Answer:
x = 138°
Step-by-step explanation:
Since the sum of all angles in a triangle is 180°, we find ∠BAC:
m∠BAC = 180 - (68 + 70) = 42°
Since ∠x and ∠BAC are Supplementary Angles, they add up to 180°:
180 - 42 = x
x = 138°
Answer:
138
Step-by-step explanation:
1. 68 + 70 = 138
2. 180 - 38 = 42
3. 180 - 42 = 138
4. X = 138
What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)?
Answer:
Step-by-step explanation:
(8-0)/(2+2)= 8/4= 2
y - 0 = 2(x + 2)
y = 2x + 4
In the diagram below, AB is parallel to CD. What is the value of x?
Answer:
A. 120 degrees.
Step-by-step explanation:
The two angles are alternate angles, which means they are congruent. So, x is also 120 degrees.
Hope this helps!
Is 2+4x-5x^2 in standard form?!
Answer:
y=-5x^2+4x+2
Step-by-step explanation:
Answer:
-5x² + 4x + 2
Step-by-step explanation:
Standard Form: ax² + bx + c
All you need to do is rearrange to have the highest degree first.
3
8
9
10
TIMEI
01:
C D
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
2 + 7c-4c2 – 30 + 4
4c2 + 4c + 6
-7c2 + 10C + 6
O4c2 + 4C + 8
0-7c2 + 70 +6
Answer:
A. -4c^2+4c+6
Step-by-step explanation:
2+7c-4c^2-3c+4
-4c^2+7c-3c+4+2
-4c^2+4c+6
Find equation of the line.
Answer:
-1+9
Step-by-step explanation:
-1 divide by -1 =1
so the answer is -1+9
I hope that helped and can you do my answer as a Brainliest PLEASE
If it helped don't forget to thanks
Definition:A sailboat set a course of N 25° E from a small port along a shoreline that runs north and south. Sometime later the boat overturned and the crew sent out a distress call. They estimated that they were 12 miles away from the nearest harbor, which is 28 miles north of the port they had set sail from. If a rescue team leaves from the harbor, find all possible courses the team must follow in order to reach the overturned sailboat.
Answer:
S 75°E
S 55°E
Step-by-step explanation:
Take the law if sines of a triangle:
[tex] \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC} [/tex]
Where,
a = 28 miles
B = 25°
b = 12 miles
First solve for A, using the law of sines:
[tex] \frac{a}{sinA} = \frac{b}{sinB} [/tex]
[tex] \frac{28}{sinA} = \frac{12}{sin25} [/tex]
Cross multiply:
[tex] 28 sin25 = 12 sinA [/tex]
[tex] 11.83 = 12 sinA [/tex]
[tex] Sin A = \frac{11.83}{12} [/tex]
[tex] Sin A = 0.986 [/tex]
[tex]A = sin^-^1(0.986)[/tex]
[tex] A = 80.44 degrees [/tex]
Since A = 80.44° find A supplement, A`:
A` = 180 - 80.44
A` = 99.56°
If A` + B < 180°, find C.
Thus,
A` + B = 99.56 + 25 = 124.56
We can see that A` + B < 180
Find C:
C = 180 - (80.44+25) = 74.56° ≈ 75°
C` = 180 - (99.56+25) = 55.44° ≈ 55°
Rewrite in bearing form:
S 75°E
S 55°E
change S25°W to a three digit bearing
Answer:
the answer is s025w
Step-by-step explanation:
simply add zero to the front to make it a three digit bearing
I need to find the derivative of d). Can someone please fine y’ please.
Answer:
= -2x/ ( x^2+5) ^2
Step-by-step explanation:
y = 1/ ( x^2 +5)
y = ( x^2+5) ^ -1
dy/dx = -1 * (x^2 + 5) ^-2 * d/dx (x^2 + 5)
-1 * (x^2 + 5) ^-2 * 2x
= -2x/ ( x^2+5) ^2
Find the area of this triangle..
Answer:
Step-by-step explanation:
For this problem, we have to use Heron's Formula.
S= (a + b + c)
over 2
And then √S( S-a) (S-b) (S-c)
That's the formula, now to plug in the numbers.
S= 12+12+21.2
over 2
that equals 45.2/ 2= 22.6'
Now we found s, so we can plug in the second step of the formula...
√22.6 ( 22.6 - 12 ) ( 22.6 - 12 ) ( 22.6 - 21.2 )
This equals √ 22.6 (10.6) (10.6) (1.4)
and that equals...
59.624411 = or rounded it up to 60.