Answer:
The area of a segment of a circle is the area of the corresponding sector of the circle minus the area of the corresponding triangle.
Step-by-step explanation:
We know area of segment of a circle is the area of the corresponding sector of the circle minus the area of the corresponding triangle.
Mr. Matthew was testing the only popularity of us custom-made belts and wallets that are marked differently some items were sold prior to the online launch date
Complete question is;
Mr. Matthew is testing the online popularity of his custom made belts and wallets that were marketed differently. Some items were sold prior to the online launch date.
The equation below represents the number of belts sold, s, x days after its online launch. S = 3^(x)
The equation below represents the number of wallets sold, s, x days after its online launch. S = 4x + 15
Using graphing technology, complete the statements. After ___ days, the total number of belts sold will be the same as the total number of wallets sold. The number of belts and the number of wallets Mr. Matthew sold after this many days is ___
Answer:
Number of days = 3 days
Total belts and wallets after 3 days = 54
Step-by-step explanation:
We are told that the number of belts sold, s, x days after its online launch. S = 3^(x)
Also, we are told that the number of wallets sold, s, x days after its online launch. S = 4x + 15
Now, we want to find the Number of days that total number of belts sold will be the same as the total number of wallets sold using graphing technology.
The number of days will simply be the value of x where the two graphs meet.
I have drawn the graph of both equations.
From the attached graph, we can see that the x-value at where the both graph lines meet is approximately 3. I didn't take the negative solution because number of days cannot be negative.
Thus, x = 3
Putting x = 3 in;
S = 3^(x)
S = 3^(3)
S = 27
Similarly, Putting x = 3 in;
S = 4x + 15
We have;
S = 4(3) + 15
S = 12 + 15
S = 27
Thus,total number of belts and wallets sold after 3 days = 27 + 27 = 54
A bike shop rents bikes for $4 per hour, and helmets for $8 per day.
Justin has less than $ 20 to rent a helmet and a bike for x hours. Which
of following inequality represents this situation?
Answer:
20> 4x + 8
Step-by-step explanation:
Let x be hours
It says less than 20 so it will only be ">". Since it is only hours, the $8 per day will not be added a variable. Since it is $4 per hour, you will add the variable to it.Hope this helps.
Answer:
20> 4x + 8
Step-by-step explanation:
The rectangular top of a small box has dimensions of 140 mm by 230 mm.
How long (in centimeters) would a ribbon need to be to go all the way around the edge of the top of the box?
A.) 740 cm
B.) 74 cm
c.) 37 cm
D.) 7,400 cm
Answer: B. 74 cm
Step-by-step explanation:
Concept:
Here, we need to know the idea of unit conversion and perimeter.
When there are multiple units in a question, then we should convert all units into one through converting factors.
Perimeter is the distance around a two-dimensional figure.
P = 2 (w + l)
1 cm = 10 mm
Solve:
140 mm = 14 cm
230 mm = 23 cm
P = 2 (w + l) ⇒ Given
P = 2 (14 + 23) ⇒ Substitute
P = 2 (37) ⇒ Addition
P = 74 cm ⇒ Simplify through muliplication
Hope this helps!! :)
Please let me know if you have any questions
Please help ASAP!!!! What is the length of BC?
Answer:
x=24
Step-by-step explanation:
Answer:
BC = 24
Step-by-step explanation:
Since ∠ B and ∠ C are congruent the the triangle is isosceles with
AC = AB , that is
3x - 15 = x + 33 ( subtract x from both sides )
2x - 15 = 33 ( add 15 to both sides )
2x = 48 ( divide both sides by 2 )
x = 24
Then
BC = x = 24
write 12.97861279 to the 2 significant figures.
Answer:
13
Step-by-step explanation:
Since you want 2 significant figures, you take the first 2 figures, and since there is a .9 after 12, you round up to 13.
What is the following sum?
4(^5sqrtx^2y) + 3(^5sqrtx^2y)
Answer:
option 3
Step-by-step explanation:
[tex](4 + 3) \sqrt[5]{x {}^{2}y } = 7 \sqrt[5]{ {x}^{2}y } [/tex]
Answer:
[tex]7( \sqrt[5]{ {x}^{2}y } )[/tex]Step-by-step explanation:
[tex]4( \sqrt[5]{ {x}^{2}y } ) + 3( \sqrt[5]{ {x}^{2} y} )[/tex]
[tex](taking \: \sqrt[5]{ {x}^{2}y } \: as \: common \: then)[/tex]
[tex] = \sqrt[5]{ {x}^{2} y} (4 + 3)[/tex]
[tex] = \sqrt[5]{ {x}^{2} y} \times 7[/tex]
[tex] = 7 (\sqrt[5]{ {x}^{2}y } )(ans)[/tex]
whats the area of this shape
Answer:
54 or 57 (read explanation below)
Step-by-step explanation:
There is a mistake in the problem.
The bottom base has length 10 not 11.
Using the correct length of 10, the area is:
A = (1/2)h(b1 + b2)
A = (1/2)(6)(10 + 8)
A = 3(18)
A = 58
Using the incorrect length of 11, the area is:
A = (1/2)h(b1 + b2)
A = (1/2)(6)(11 + 8)
A = 3(19)
A = 57
Guys Help me
Does (4, 7) make the equation y = 2x + 7 true?
Answer:
false
Step-by-step explanation:
x=4andy=7
2×4+7 isnot equal to 7
Answer:
Tue equation is
y=2x+7
So, the answer is
(2,7)
And (4,7) is wrong
What is the value of f ^-1 (0)? ( photo given )
PLEASE HELP ME, I would greatly appreciate it !!!
Answer:
[tex] {f}^{ - 1}(0) = 6[/tex]
Step-by-step explanation:
When trying to solve for inverses, we are given a y value in place of an x value. Thus we are solving for the x value which the given y value corresponds to.
plzz helppp!!!!!!!!!1111
is the relationship linear exponential or neither
Plugging the values into a table on desmos, it clearly follows an exponential equation as shown by the equation of best fit. Therefore, the relationship is exponential.
the verticies of the triangle OAB are the origin O, A(-15,0) and B(0,8)
What is the relationship between G and the triangle OAB
G(-7.5,4)
Answer:
G is the midpoint of the side [tex]\overline {AB}[/tex] of triangle ΔOAB
Step-by-step explanation:
The vertices of the triangle ΔOAB are A(-15, 0), B(0, 8), and C(0, 0)
The coordinates of the point G = (-7.5, 4)
The length from the point A to the point G, [tex]\overline {AG}[/tex] is given as follows;
[tex]\overline {AG} =\sqrt{(-7.5 - (-15))^2 + (4 - 0)^2} = \sqrt{7.5^2 + 4^2} = 8.5[/tex]
The length from the point A to the point B, [tex]\overline {AB}[/tex] is given as follows;
[tex]\overline {AB} =\sqrt{(-15 - 0)^2 + (8 - 0)^2} = \sqrt{15^2 + 8^2} = 17[/tex]
Therefore, the point G is the half way mark of [tex]\overline {AB}[/tex] = The midpoint of the side [tex]\overline {AB}[/tex]
How do I find the low value of a box plot
The far left of the chart is the minimum(low) value of the box plot.
Answered by Gauthmath must click thanks and mark brainliest
How many different numbers are possible?
A personal identification number consists of 3 letters followed by 3 digits. The letters X, Y, and Z are not used and the last digit cannot be 0 or 9.
Each of the first 3 letters can be chosen from the 23 letters, {A, B, C, …, U, V, W}, so there are 23³ possible choices.
The first 2 digits can be any number from {0, 1, 2, …, 9}, so there are 10² choices.
The last digit cannot be 0 or 9, so you can select from {1, 2, 3, …, 8} which gives 8 choices.
Then the total number of PINs that you can make is
23³ × 10² × 8 = 9,733,600
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70, find its length and width.
Answer:
[tex]l = 6w - - - - 1 \\ \\ 2l + 2w = 70 - - - - - 2 \\ \\ solving \: simultaneously \\ put \: l = 6w \: into \: 2 \\ 2(6w) + 2w = 70 \\ 12w + 2w = 70 \\ 14w = 70 \\ w = 5 \\ \\ l = 6w \\ l = 6(5) \\ l = 30[/tex]
Please help quick! Identify the function shown in this graph.
!!Plz urgent help!!
this triangular prism can contain that holds beads that are spherical and each 0.525 cm. How many
beads can fit inside this container?
Will mark brainliest
Answer:
890 beads can be fitted in the triangular prism.
Step-by-step explanation:
If we can fill the spherical beads completely in the triangular prism,
Volume of the triangular prism = Volume of the spherical beads
Volume of triangular prism = Area of the triangular base × Height
From the picture attached,
Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(AB)(BC)[/tex]
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
(13)² = 5² + BC²
169 = 25 + BC²
BC² = 144
BC = 12
Area of the triangular base = [tex]\frac{1}{2}(5)(12)[/tex]
= 30 cm²
Height of the triangular prism = 18 cm
Volume of the triangular prism = 30 × 18
= 540 cm³
Volume of one spherical bead = [tex]\frac{4}{3}\pi r^{3}[/tex]
= [tex]\frac{4}{3}\pi (0.525)^{3}[/tex]
= 0.606 cm³
Let there are 'n' beads in the triangular prism,
Volume of 'n' beads = Volume of the prism
540 = 0.606n
n = 890.90
n ≈ 890
Therefore, 890 beads can be fitted in the triangular prism.
James brought a dress & t-shirt for $85 and it is 5 times as much as t-shirt how much did James pay for the t-shirt.
Answer:
$17
Step-by-step explanation:
You reverse the operation, and you do 85 divided by 5, which is 17. Have an amazing day!!
The value of cube root of x^10, when x = -2, can be written in simplest form as a^3 times the square root of b, where a = _____ and b = ______.
Answer:
[tex]a = 2[/tex]
[tex]b = 2^{1/6}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]
[tex]x = -2[/tex]
Required
Find a and b
We have:
[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]
Substitute -2 for x
[tex]\sqrt[3]{(-2)^{10}} = a^3 * \sqrt b[/tex]
[tex]\sqrt[3]{1024} = a^3 * \sqrt b[/tex]
Expand
[tex]\sqrt[3]{2^9 * 2} = a^3 * \sqrt b[/tex]
Split the exponents
[tex]2^{(9/3)} * 2^{(1/3)} = a^3 * \sqrt b[/tex]
[tex]2^{3} * 2^{1/3} = a^3 * \sqrt b[/tex]
By comparison:
[tex]a^3 = 2^3[/tex]
So;
[tex]a = 2[/tex]
and
[tex]\sqrt b = 2^{1/3}[/tex]
Take square roots of both sides
[tex]b = 2^{1/6}[/tex]
Answer: -8, -2
Step-by-step explanation: (the previous answers are ) 1. D 2. C 3. -8,-2 (for reference of order :))
what is the value of k if the function f(x)=(2-k)/(5x+k) if the graph of the function passes through the point (-1,1/2)
Answer:
k = 3.
Step-by-step explanation:
At the given point x = -1 an f(x) = 1/2, so we have the equation:
1/2 = (2 - k)/(5(-1) + k)
(2 - k)/(k - 5) = 1/2
Cross multiplying:
2(2 - k) = k - 5
4 - 2k = k - 5
-2k - k = -5 -4
-3k = -9
k = 3.
Solve the system by substitution
− 2x − 10y= 26
x+ 5y=− 13
Answer:
x=-13-5y
Step-by-step explanation:
Answer:
infinite solutions... they are the same line
Step-by-step explanation:
x = -5y-13
-2(-5y-13) - 10y = 26
10y+26 - 10y = 26
0=0
infinite solutions... they are the same line
Can someone help me with this math homework please!
Answer:
I think it's h(x)
Step-by-step explanation:
My knowledge
Hope it helps!
9514 1404 393
Answer:
(c) g(x)
Step-by-step explanation:
The initial temperature is -3, so you're looking for graphs that cross the y-axis at y = -3. The functions g(x) and h(x) do that.
The temperature rises 2 degrees per hour, so you're looking for a function that increases by 2 for each 1 unit to the right. Only the function g(x) does that.
The line g(x) represents the scenario.
4(x-3)+5x-x^2 for x=3
Answer:
6
Step-by-step explanation
Answer:
6
Step-by-step explanation:
plug in the 3
4(3-3)+5(3)-3^2
4(0)+15-9
0+15-9
15-9
6
please help, it is associated with angles. thank u ;)
Answer:
angle c is 63
Step-by-step explanation:
Angles in a triangle add up to 180 therefore
70+47+x=180
x=180-117
=63°
I hope this helps
Equivalent expression -2/3a+5/6a-1/6
Answer:
324
Step-by-step explanation:
yes or no? please help
Answer:
yes
Step-by-step explanation:
....
8. In the figure below, ABC is a right triangle, a + b - 135 degrees, and c + d = 55 degrees. Find x.
Answer:
x=80 degrees
Step-by-step explanation:
We are given that
ABC is a right triangle
Therefore, angle B=90 degrees
Angle A=a+b=135 degrees
Angle C=c+d=55 degrees
Angle D=x
We have to find the value of x.
We know that
In quadrilateral
Sum of all angles of quadrilateral=360 degree
[tex]\angle A+\angle B+\angle C+\angle D=360^{\circ}[/tex]
[tex]135+90+55+x=360[/tex]
[tex]280+x=360[/tex]
[tex]x=360-280[/tex]
[tex]x=80[/tex]
x=80 degrees
What is the quotient in simplest form? 12/7 ÷ 3
PLEASE HELPP URGENT
20 points!!!
6. If the zeros of a quadratic funtion, f(x), are -2 and 6, what is the equation of the axis of
symmetry of f(x)?
ints
a. X= -2
b. X= 2
c. X= 4
d. Cannot be determined
Answer:
B
Step-by-step explanation:
We are given a quadratic function f(x) whose zeros are at x = -2 and x = 6.
And we want to determine its axis of symmetry.
Recall that a parabola is symmetric about its axis of symmetry.
Therefore, the axis of symmetry is directly in the middle of the two roots.
Find the average of the roots:
[tex]\displaystyle x=\frac{(-2)+(6)}{2}=\frac{4}{2}=2[/tex]
Hence, the axis of symmetry is x = 2.
Our answer is B.
In general, if we are given the two zeros p and q of a quadratic and we want to find the axis of symmetry x, it is given by:
[tex]\displaystyle x = \frac{p+q}{2}[/tex]