Answer:
Step-by-step explanation:
The graph of a function and its inverse will always reflect through the line
y = x.
This is because a function has a specific set of coordiates, (x, y). That function's inverse has a set of coordinates that flips the x and y coordinates. For example, if a function has a set of coordinates (0, 1), (2, 3), (4, 5) then its inverse will have the coordinates (1, 0), (3, 2), (5, 4). If you plot the function's points and then the inverse's points in the same plane (meaning on the same graph) and connect the dots, you will see that the function and its inverse are reflections of each other through y = x. Below is an example of this. The dotted purplish line is the line y = x.
I NEED HELPPPPP!!! Juana is making a triangular hat for a puppet. If two of the three angles of the hat both measure 30 . what is the measure of the third angle?
The answer is The third angle measures 120 degrees
Step-by-step explanation:
I know this because a triangle has angle sum of 180 and so if you know two of the sides then you can add them together; 30+30 = 60 then substract it from 180; 180-60 and that would equal 120 degrees.
In ΔIJK, the measure of ∠K=90°, KI = 5.3 feet, and JK = 2.1 feet. Find the measure of ∠I to the nearest tenth of a degree. I
Answer:
[tex]\angle I = 21.6 ^\circ[/tex] is the correct answer.
Step-by-step explanation:
Please refer to the attached figure.
[tex]\triangle IJK[/tex] is shown with the following measurements:
[tex]\angle K = 90^\circ[/tex]
Side KI = 5.3 ft
Side JK = 2.1 ft
To find : [tex]\angle I[/tex] = ?
Using trigonometric identity for tangent of an angle:
[tex]tan\theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]
Here [tex]\theta = \angle I[/tex]
Perpendicular is side JK.
Base is side KI.
Putting the values in above formula:
[tex]tan\theta = \dfrac{\text{JK}}{\text{KI}}\\\Rightarrow tan\theta = \dfrac{2.1}{5.3}\\\Rightarrow tan\theta = 0.3962\\\Rightarrow \theta = 21.6^\circ[/tex]
Hence, [tex]\angle I = 21.6 ^\circ[/tex] is the correct answer.
Find the volume of the pyramid.
Answer:
62.5 in cubed
Step-by-step explanation:
The formula is l*w*h divided by 3
5*5= 25
and 25*7.5= 187.5
187.5/3= 62.5
Pls mark brainliest!!
Answer:
[tex]62.5 {in}^{3} [/tex]
Step-by-step explanation:
[tex]v = \frac{whl}{3} \\ = \frac{5 \times 5 \times 7.5}{3} \\ = 62.5 {in}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Let the polynomials A = 7x² + 3xy and B = -3xy.
Determine A + B.
a) 7x²
b) 3xy
c) 7x² + 6xy
d) 14x² + 6xy
e) -3xy
Answer:
The answer is 7x²
Step-by-step explanation:
Since we have to add the two polynomials together, we write it as A+B=7x²+3xy-3xy. Now, we simplify, and we are left with A+B=7x²
y varies directly as x and inversely as z. If y = 5 when x = 3 and z = 4, find y when x = 6 and z = 8.
Answer:
y= 201/40
Step-by-step explanation:
y=k (x÷z)
5 = (3÷4)k
cross multiply
20=3k
k= 6.7 or 67÷10
y = 6.7 (x÷z) the law
y = (6÷8) × 6.7
y = 0.75 ×6.7
y= 5.025 or 201÷40
At the beginning of football season, Coach Carnes takes inventory of the team equipment to see what he needs. He counts 24 footballs, but he needs to start off the season with at least 75. The footballs that he uses are sold in packages of 4. How many packages could the coach buy?
Answer:
13
Step-by-step explanation:
To solve this, lets first find the number of footballs he still needs:
75-24 = 51
Now to find the number of packages, divide by 4, since there are 4 balls per package:
51/4 = 12 Remainder 3
Since there is a remainder, and the Coach MUST have at least 75, then we need to add a package to include the remainder:
12 + 1 = 13 Packages
Now look at this information
[tex]2y + 3 \leqslant 11[/tex]
What is the largest value that y could be?
Answer:
4
Step-by-step explanation:
Given
2y + 3 ≤ 11 ( subtract 3 from both sides )
2y ≤ 8 ( divide both sides by 2 )
y ≤ 4
Since y has to be less than or equal to 4
Then the largest value y could be is 4
(3 1/4 + 2 5/6) + 1 3/4
19/6
Step-by-step explanation:
3/4 + 5/3 +3/4
3/4 + 3/4 = 3/2
3/2 + 5/3 =19/6 or 3.16....
.............................
Answer:
[tex]\frac{18p-5}{30}[/tex]
Step-by-step explanation:
Answer:
18p-5 over 30.
Found in the LCM method
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
JKM AND GHK
Step-by-step explanation:
THE SUM OF THE TWO ANGLES IS 180°
_______________________________
Hey!!
The supplementary angles are <IHK and < IHF
Supplementary angles are those angles which is exactly 180 degree.
Hope it helps..
What is the quotient?
StartFraction (negative 3) Superscript 0 Over (negative 3) squared EndFraction
Answer:
1/9
Step-by-step explanation:
Where my coins at bruh and yo number jhit
The value of the expression {(-3)⁰}/{(-3)²} is 1/9.
What is an exponent?Exponentiation is one of the mathematics operations.
Let mᵃ, where m and a are the real numbers.
And m is multiplied by a times to itself.
So, a is the exponent of m.
Given:
Start Fraction (negative 3) Superscript 0 Over (negative 3) squared End Fraction
In numerator form:
{(-3)⁰}/{(-3)²}
= 1/9
Therefore, 1/9 is the value.
To learn more about the exponents;
brainly.com/question/30066987
#SPJ6
PLEASE HELP! Suppose the hypotenuse of a right triangle is 24 cm and one of the legs is 11 cm. Use the Pythagorean Theorem to find the measure of the triangle’s other leg. Round the measure to the nearest tenth if needed.
Answer:
The other leg is about 21.3 cm
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
11²+b²=24²
121+b²=576
Subtract 121 from both sides
b²=455
b=[tex]\sqrt{455}[/tex]
b≈21.3
Answer:
21.3 cm
Step-by-step explanation:
We need to apply the Pythagorean Theorem.
The Pythagorean Theorem is an equation that can only be applied to right triangles. It states that for a right triangle with legs (two shorter sides) a and b and hypotenuse (longest side) c:
a² + b² = c²
Here, we know the hypotenuse is 24 cm and that one of the legs is 11 cm. We can hence say that c = 24 and a = 11 (or b = 11, but it doesn't really matter). Plug these values into the equation to find the other leg length:
a² + b² = c²
11² + b² = 24²
121 + b² = 576
b² = 576 - 121 = 455
b = √(455) ≈ 21.3 cm
Thus, the answer is 21.3 cm.
~ an aesthetics lover
i think of a number, add 3 to it and multiply the result by 7.
Answer:
[tex]7(x + 3)[/tex]
Step-by-step explanation
thinked number = x
add 3 = +3
[tex]x + 3[/tex]
multiply the result by 7
[tex]7( x+ 3)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the volume of the sphere. Use 3.14 for Pi. Round your answer to the nearest thousandth. A sphere with diameter 10 inches. a. 4186.667 cu. in. b. 523.333 cu. in. c. 104.667 cu. in. d. 294.375 cu. in. Please select the best answer from the choices
Volume of a Sphere Formula:
[tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
Diameter/Radius Relationship:
[tex]\displaystyle r = \frac{d}{2}[/tex]
ApplicationStep 1: Define
Let us clearly sort out what information this specific problem gives us:
We are given that the shape is a sphere.We are also given that the diameter of the sphere is equal to 10 inches.Finally, we are asked to find the volume of the sphere.We can consolidate this into mathematical symbols:
[tex]\displaystyle d = 10 \ \text{in}[/tex][tex]\displaystyle V_{\text{Sphere}} = \ ?[/tex]Step 2: WorkGiven what we know, we now need to find the volume of the sphere. With knowledge implied, found under the General Formulas and Concepts section above, we can first solve for the radius [tex]\displaystyle r[/tex]:
[tex]\displaystyle\begin{aligned}r & = \frac{d}{2} \\& = \frac{10 \ \text{in}}{2} \\& = \boxed{5 \ \text{in}} \\\end{aligned}[/tex]
∴ the radius of the sphere is equal to 5 inches.
Now that we have our radius, we can substitute this value into our volume of a sphere formula and evaluate:
[tex]\displaystyle\begin{aligned}V & = \frac{4}{3} \pi r^3 \\& = \frac{4}{3} \pi (5 \ \text{in})^3 \\& = \frac{4}{3} \pi (125 \ \text{in}^3) \\& = \boxed{ \frac{500}{3} \pi \ \text{in}^3 } \\\end{aligned}[/tex]
∴ the volume of the sphere is equal to [tex]\boxed{ \frac{500}{3} \pi \ \text{in}^3 }[/tex].
To estimate our answer, we can simply substitute the value of [tex]\displaystyle \pi[/tex] for 3.14, as defined by the problem, and evaluate once more:
[tex]\displaystyle\begin{aligned}V & = \frac{4}{3} \pi r^3 \\& = \frac{4}{3} \pi (5 \ \text{in})^3 \\& = \frac{4}{3} \pi (125 \ \text{in}^3) \\& = \frac{500}{3} \pi \ \text{in}^3 \\& = \frac{500}{3} (3.14) \ \text{in}^3 \\& \approx \boxed{ 523.333 \ \text{in}^3 }\end{aligned}[/tex]
∴ the volume of the sphere is approximately equal to [tex]\displaystyle \boxed{ 523.333 \ \text{in}^3 }[/tex].
Answer∴ the best answer choice that corresponds to our gathered result is answer choice b. 523.333 cu. in.
___
Learn more about volume: https://brainly.com/question/27749754
Learn more about geometry: https://brainly.com/question/16893579
___
Topic: Geometry
Unit: Volume
Find sin3A, cos
3A and tan 3A when sin=1/2
Answer:
Sin 3A = 1
cos 3A = 0
tan 3 A = undefined
Step-by-step explanation:
[tex]\sin A = \frac{1}{2} \\ \therefore \: \sin A = \sin \: 30 \degree.. \bigg( \because \: \sin \: 30 \degree = \frac{1}{2} \bigg) \\ \therefore \: A = 30 \degree \\ \\ now \\ \sin 3A =\sin (3 \times 30 \degree)= \sin \: 90 \degree = 1 \\ \\ \cos 3A =\cos (3 \times 30 \degree)= \cos \: 90 \degree = 0\\\\ \tan 3A =\tan (3 \times 30 \degree)= \tan \: 90 \degree = \infty [/tex]
2(2.5x+8)=26 help me please!!!
Answer:
x=12/5
Step-by-step explanation:
2(2.5x+8)=26
5x+14=26
5x=12
x=12/5
Answer:
The value of [tex]x[/tex]:
[tex]x = 2[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex]:
[tex]2(2.5x + 8) = 26[/tex]
-Divide both sides by [tex]2[/tex]:
[tex]2(2.5x + 8) = 26[/tex]
[tex]2.5x + 8 = \frac{26}{2}[/tex]
-Divide [tex]26[/tex] by [tex]2[/tex]:
[tex]2.5x + 8 = \frac{26}{2}[/tex]
[tex]2.5x + 8 = 13[/tex]
-Subtract both sides by [tex]8[/tex]:
[tex]2.5x + 8 - 8 = 13 - 8[/tex]
[tex]2.5x = 5[/tex]
-Divide both sides by [tex]2.5[/tex]:
[tex]\frac{2.5x}{2.5} = \frac{5}{2.5}[/tex]
Expand to the form [tex]\frac{5}{2.5} = 2[/tex] by multiplying both the numerator and the denominator by [tex]10[/tex]:
[tex]\frac{5}{2.5} = 2[/tex]
[tex]x = \frac{50}{25}[/tex]
Then, you divide [tex]50[/tex] by [tex]25[/tex]:
[tex]x = \frac{50}{25}[/tex]
[tex]x = 2[/tex]
So, the final answer would be [tex]x = 2[/tex] .
Evaluate:
12.16 x .13 =
Answer:
1.5808
Step-by-step explanation:
rounded
hundreds
1.58
tens
1.6
first
2
What is the length of EF?
Answer:
5
Step-by-step explanation:
the measure DF is 7
DE = 2
to get EF, you have to subtract 2 from 7
7 - 2 = 5
what’s the perimeter
Answer:
the answer is 10
Step-by-step explanation:
the other shape is half of all the degreed of the first one
Answer: 10
Step-by-step explanation:
AB: 3.0/2 = 1.5 = EF
BC: 5.0/2 = 2.5 = FG
CD: 4.0/2 = 2.0 = GH
DA: 8.0/2 = 4.0 = EH
1.5+2.5+2.0+4.0 = 10
-4/5 x 6/7
dont look it up bc they only give the big answers
Answer:
[tex]-\frac{4}{5}[/tex] × [tex]\frac{6}{7}[/tex] = [tex]-\frac{24}{35}[/tex]
Step-by-step explanation:
It's just like regular multiplication:
[tex]\frac{Numerator}{Denominator}[/tex]
Numerator:
-4 × 6 = -24
Denominator:
-5 × 7 = -35
An aeroplane covers a distance of 1500km in a certain time at a certain speed.After increasing the speed by 100km/hr, it covers the same distance in a time which is half an hour less than the previous time. Find the previous speed of the aeroplane.
this is from quadratic equations CBSE grade 10
please answer ASAP
Answer:
previous speed of the aeroplane is 500 km/hr
Step-by-step explanation:
Given: Distance covered by aeroplane = 1500 km
It covers the same distance in a time which is half an hour less than the previous time if the speed is increased by 100 km/hr
To find: previous speed of the aeroplane
Solution:
Let x denotes the previous speed of the aeroplane.
Time taken by an aeroplane if speed is x km/hr = distance/speed = [tex]\frac{1500}{x}[/tex] hours
If speed is increased by 100 km/hr, new speed = (x + 100) km/hr
Time taken by an aeroplane if speed is (x + 100) km/hr = [tex]\frac{1500}{x+100}[/tex] hours
According to question,
[tex]\frac{1500}{x+100}=\frac{1500}{x}-\frac{1}{2}\\ \frac{1500}{x}-\frac{1500}{x+100}=\frac{1}{2} \\\frac{1}{x}-\frac{1}{x+100}=\frac{1}{3000}\\ \frac{x+100-x}{x(x+100)}=\frac{1}{3000}\\ x^2+100x=300000\\x^2+100x-300000=0\\[/tex]
[tex]x^2+600x-500x-300000=0\\x(x+600)-500(x+600)=0\\(x-500)(x+600)=0\\x=500\,,\,-600[/tex]
As speed can not be negative, [tex]x=-600[/tex] is rejected.
So,
previous speed of the aeroplane is 500 km/hr
Trenton works for a company that is promoting its line of LED lightbulbs. He is selling boxes of the lightbulbs at a local store. A box of 60-watt bulbs costs $7.00, and a box of 100-watt bulbs costs $12.00. During the promotion, Trenton wants to sell more than 100 boxes total and make at least $1,000. The graph and the system of inequalities represent this situation, where x represents the number of boxes of 60-watt bulbs sold and y represents the number of boxes of 100-watt bulbs sold. 7x + 12y ≥ 1,000 x + y > 100 Which solution is valid within the context of the situation?
A. (90,25)
B. (40,64.50)
C. (30,80)
D. (200,-10)
Answer:
C) 30,80 PLATO
Step-by-step explanation:
This is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh) and if you didn't rule out all others with these two they also have to LOOk like they are in the solution set. Thats how i solve ALL of them and get them correct.
Hopefully i helped and corrected the wrong answer up there!
This question is based on system of linear equation.Therefore, the correct option is ( C ), (30,80) solution is valid within the context of the situation.
Given:
7x + 12y ≥ 1,000
x + y > 100
We need to determined the solution which is valid within the context of the situation.
According to question,
A. (90,25)
Put this value in given both equation.
We get,
7(90) + 12(25) ≥ 1,000630 + 300 [tex]\ngeqslant[/tex] 1000
⇒ 930 [tex]\ngeqslant[/tex] 1,000
x + y > 10090 + 25 > 100
⇒ 115 > 100
B. (40,64.50)
7(40) + 12(64.50) ≥ 1,000280 + 774 [tex]\geq[/tex] 1000
⇒ 1054 [tex]\geq[/tex] 1000
x + y > 10040 + 64.50 >100
⇒ 104.50 > 100
C. (30,80)
7(30) + 12(80) ≥ 1,000210 + 960 [tex]\geq[/tex] 1000
⇒ 1170 [tex]\geq[/tex] 1000
x + y > 10030 + 80 = 110 >100
D. (200,-10)
7(200) + 12(-10) ≥ 1,0001400 -120 [tex]\geq[/tex] 1000
⇒ 1280 [tex]\geq[/tex]1000
x + y > 100200 - 10 >100
⇒ 190>100
Therefore, the correct option is (C), (30,80) solution is valid within the context of the situation.because this is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh).
For more details, prefer this link:
https://brainly.com/question/11897796
I WILL MARK BRAINLIST!! HURRY HELP!! PEASE THANK YOUU
A rectangle has an area of 345 square millimeters and a base of 15 millimeters. What is the height?
Given that a rectangle has an area of 345 square millimeters and a base of 15 millimeters, find the height.
Area of a Rectangle = b x h
So, to find the height, we would reverse it by dividing the area by the base.
Work:
345/15 = 23
So, 23 would be our height.
Thus, the height of the rectangle is 23 millimeters.
Answer:
23 millimeters
Step-by-step explanation:
The area of a rectangle can be found using the following formula.
a=b*h
We know that the area is 345 square millimeters and the base is 15 millimeters, but we don't know that the height is.
a=345
b=15
Substitute these variables into the formula.
345=15*h
We want to find out what the height, or h is. In order to do this, we have to get h by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
h is being multiplied by 15. The opposite of multiplication is division, so divide both sides by 15.
345/15=15*h/15
345/15=h
23=h
Add appropriate units. In this case, the units are millimeters.
h=23 millimeters
The height of the rectangle is 23 millimeters.
Write down the value of angle y
Answer:
y= 71 Reason: alternate angle to 71 degrees
z = 44
Step-by-step explanation:
You already solve for x.
y = 71 because it is alternate to 71 degrees you see up there.
For z:
all angles inside a triangle sum upto 180
z=180-(71+65) = 44
Please help correct answer will be given brainiest!
Answer:
-12
Step-by-step explanation:
Each number is multiplied by -3 to get the next number. 4*(-3)=-12.
Larry rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a multiple of 3.
Answer:
12/36 = 1/3
Step-by-step explanation:
draw a possibility diagram or table where you get the possible outcomes. 1 to 6 along the bottom and 1 to 6 across.
you will results such as 11 12 13 14 15 16
21 22 23 24 25 26
and so on.
Then, you total up each of them and will get
2 3 4 5 6 7 from the first row
3 4 5 6 7 8 from 2nd row
and so on.
from the final results, count how many are multiples of 3.
we should get 12 and over total possible outcomes which is 36, since it's a 6 by 6 table.
Help please !!!!!!!!!!!!!!!!!!!!!!!
Answer:
∠J and ∠K form a linear pair.
Step-by-step explanation:
If angles J and K are supplementary and adjacent, then they form what is known as a linear pair.
"Definition: Two angles that are adjacent (share a leg) and supplementary (add up to 180°)" -mathopenref
Which of the following is a quadratic function?
1. f(x) = 0x^2 + 3x - 6
2. f(x) = 3 - 4x^2
3. f(x) = 2^x
4. f(x) = 2x + 5
the function of quadratic is number4
Please answer correctly !!!!!!!!!! Will
Mark brainliest !!!!!!!!!!!!
Answer:
Step-by-step explanation:
The discriminant is what's under the square root sign in the quadratic equation. The equation for the discriminant is [tex]b^{2}-4ac[/tex], where b is the coefficient of x, a is the coefficient of [tex]x^{2}[/tex], and c is the number with no variable attatched to it. If we plug in the numbers ([tex]17^{2} -4*4*3[/tex]) it gives you 241, which is the discriminant. Since 241 is more than zero, it has 2 zeros. If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.
XYZ is an isosceles triangle inscribed I a circle, center O. XY=XZ= 20 and YZ=18. Calculate to 3.s.f.
a) the altitude of ∆XYZ
b) the diameter of the circle
Answer: 17.9
Step-by-step explanation:
Using Heron's formula:
Area of a triangle is given by:
√s(s-a)(s-b)(s-c)
Where a, b and c ara sides of the triangle and
S = (a+b+c) / 2
In the question above sides are :
XY=XZ= 20 and YZ=18
S = (20 + 20 + 18) / 2 = 58/2 = 29
Area = √29(29-20)(29-20)(29-18)
Area = √29(9)(9)(11)
Area = √25839
Area = 160.74513
Altitude = height(h)
Area = 0.5 × base × height
Base = yz = 18
160.74513 = 0.5 × 18 × h
160.74513 = 9 × h
h = 160.74513 / 9
h = 17.9 (3 s.f)