Answer:
Avery needs to pay $14.84
Step-by-step explanation:
When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:
[tex]\frac{14}{x} = \frac{100}{6} \frac{\%}{\%}[/tex]
Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:
[tex]x = \frac{14*6}{100}\\x = \frac{84}{100}\\x = 0.84[/tex]
The value to be paid is the product value plus the tax, therefore:
[tex]\text{paid} = 14 + 0.84 = 14.84[/tex]
Avery needs to pay $14.84
A surveyor is 40m from the edge of a building. The angle of elevation from the surveyor to the top of the building is 55° . What is the height of the building?
Answer:
Height of building is 57.12 m.
Step-by-step explanation:
Let us try to understand the given dimensions as per the attached diagram.
Please refer to attached image (Right angled [tex]\triangle OBT[/tex])
with [tex]\angle B =90^\circ[/tex]
Let O be the point where the Surveyor is standing.
B be the point of the base of building.
T be the point of top of building.
As per question statement,
[tex]\angle O = 55^\circ[/tex]
Side OB = 40 m
To find: Side BT = ?
Using tangent trigonometric identity:
[tex]tan\theta =\dfrac{Perpendicular}{Base}[/tex]
[tex]tanO =\dfrac{BT}{BO}\\\Rightarrow tan55^\circ = \dfrac{BT}{40}\\\Rightarrow BT = tan55^\circ \times 40\\\Rightarrow BT = 1.43\times 40\\\Rightarrow BT = 57.12 m[/tex]
So, height of building is 57.12 m.
A company makes 140 bags.
47 of the bags have buttons but no zips.
48 of the bags have zips but no buttons.
22 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons
Answer: 0.5
Step-by-step explanation:
Total bags (U) = 140
Number of bags with both button and zip:
(48 + 47 + x + 22) = 140
117 + x = 140
x = 140 - 117
x = 23
Therefore, probability that bag has button :
Total Number of bags with button:
(Bags with button alone + bags with both button and zip)
(47 + 23) = 70
Probability = (required outcome / Total possible outcomes)
P(bag has button) = (number of bags with button / total number of bags)
P(bag has button) = 70/140 = 0.5
P(bag has button) = 0.5
solve: 5x + 4 < 3 – 3x
Answer:
x = -1/8
Step-by-step explanation:
The greater than sign can be replaced with an equal sign to solve.
5x + 4 < 3 – 3x =>
5x + 4 = 3 - 3x =>
+3x -4 +3x - 4
---------------------------
8x = -1
x = -1/8
HELP ME PLEASE! So I’m working on this practice page before I start my quiz but I don’t understand these two problems, I was hoping someone would help me.
Answer: y = 1/2x - 6
Step-by-step explanation:
#4 We are going to use slope intercept form, (y = mx+b)
1. The line crossing the y-intercept at (0,-6)
2. The slope is 1/2 (increasing by 1 then over 2 --> RISE OVER RUN)
3. Make the equation: y= 1/2x - 6
Answer: 3 . y = -1/3 + 4/3 4. y= 1/2x -6
Step-by-step explanation:
3. In the first graph they have the coordinates, (-2,2) and (4,0). We have to solve for the slope and the y-intercept in other to write and equation.
To find the slope we have to find the change in the y values and divide it by the difference in the x values.
2-0 = 2
-2 -4 = -6
2/-6 = -1/3 Now we know that the slope is -1/3 so we need to find the y-intercept.
2= -1/3(-2) +b where be is the y intercept.
2= 2/3 + b
-2/3 -2/3
b= 4/3
Now we could write the equation as y= -1/3 + 4/3
4. The same with number 4.
We will find the slope and the y intercept by using some points on the number line.
(0,-6) This already have the y-intercept graphed so we will need to just find the slope.
(0,-6)
(4,-4)
-6 - (-4) = -2
0 - 4 = -4
-2/-4 = 1/2
Equation: y = 1/2x -6
Find the product of (x − 3)2
Answer:
x^2-6x+9
Step-by-step explanation:
(x-3)^2
(x-3)(x-3)
x^2-3x-3x+9
x^2-6x+9
Work out the surface area of this cylinder
8.2 cm
17.5 cm
Answer: 1324.12 sq. cm.
Step-by-step explanation:
A=2πrh+2πr2
A = 2π x 8.2 x 17.5 + 2π x 8.2^2
A = 2π x 143.50 + 2π x 67.24
A= 1324.12
Answer:
SA = 1324.1 cm²
Step-by-step explanation:
Surface Area of Cylinder = [tex]2\pi rh+2\pi r^2[/tex]
Where r = 8.2 cm, h = 17.5 cm
=> SA = [tex]2(3.14)(8.2)(17.5)+2(3.14)(8.2)^2[/tex]
=> SA = [tex]901.6+2(3.14)(67.24)[/tex]
=> SA = 901.6 + 422.5
=> SA = 1324.1 cm²
Which of the following proves ALMN= AOPQ?
Answer:
Step-by-step explanation:
From the figure attached,
Given : LM ≅ OP
PQ ≅ MN
NL ≅ QO
To Prove : ΔLMN ≅ ΔOPQ
In the triangles LMN and OPQ,
Statements Reasons
1). LM ≅ OP 1). Given
2). PQ ≅ MN 2). Given
3). NL ≅ QO 3). Given
4). ΔLMN ≅ ΔOPQ 4). By SSS property of congruence
Resolve into factors:2p(p-1)-p+1
Answer:
Do it your self
Step-by-step explanation:
anyone know how to do this?
Answer:
12.1 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 30 = x/14
14 cos 30 = x
12.12435565 =x
12.1 =x
Each of these figures is based on a rectangle whose centre is shown.
How many of the figures have rotational symmetry of order two?
The last 2 shapes.
When you rotate both of them 360 degrees only at 180 and back at 360 it looks same.
What is the domain of the step function f(x) = ⌈2x⌉ – 1?
Answer:
believe its 2x cause 1 was wrong
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h = –16t^2 + 36t + 10. a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. b. What is the ball’s maximum height?
Step-by-step explanation:
We have,
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :
[tex]h=-16t^2 + 36t + 10[/tex] ......(1)
Part (a) :
The maximum height reached by the ball is given by :
[tex]\dfrac{dh}{dt}=0\\\\\dfrac{d(-16t^2 + 36t + 10)}{dt}=0\\\\-32t+36=0\\\\t=\dfrac{36}{32}\\\\t=1.125\ s[/tex]
Part (b) :
The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :
[tex]h=-16(1.125)^2 + 36(1.125)+ 10\\\\h=30.25\ m[/tex]
Which point gives the vertex of f(x) = x2 – 4x + 21? Question 1 options: (–2,–17) (2,17) (–2,17) (2,–17)
Answer:
[tex](2, 17)[/tex]
Step-by-step explanation:
A parabola has the general function: [tex]f(x)=ax^2+bx+c[/tex]
In this case we have: [tex]f(x) = x^2 - 4x + 21[/tex]
where
[tex]a=1[/tex]
[tex]b=-4[/tex]
[tex]c=21[/tex]
the vertex of a parabola is in the coordinates:
[tex](\frac{-b}{2a}, \frac{-b^2+4ac}{4a} )[/tex]
substituting all of the known values, we get the following:
[tex](\frac{-(-4)}{2(1)} ,\frac{-(-4)^2+4(1)(21)}{4(1)} )\\\\(\frac{4}{2} ,\frac{-16+84}{4} )\\\\\\(2 ,\frac{68}{4} )\\\\\\(2,17)[/tex]
the vertex of [tex]f(x) = x^2 - 4x + 21[/tex] is at the point (2,17) which is the second option.
Answer:
2,17
Step-by-step explanation:
Use completing the square to solve for X in the equation (c+7)(x-9)=25
Answer:
x = 1 ± √89
Step-by-step explanation:
Step 1: Expand
x² - 2x - 63 = 25
Step 2: Isolate xs
x² - 2x = 88
Step 3: Complete the square
x² - 2x + 1 = 88 + 1
(x - 1)² = 89
Step 3: Square root both sides
√(x - 1)² = ±√89
x - 1 = ±√89
Step 4: Isolate x
x = 1 ± √89
Hellpppp
What are the coordinates of point K” on the final image?
(-7, 4)
(-4,-7)
(4,-7)
(4,7)
Answer:the answer I’m is C trust me
Step-by-step explanation: I just took the test
Answer:(-4,7)
Step-by-step explanation:
Edg 2021
Simplify each expression involving signed numbers.
-7 -2 = -9
12 + (-4) = 8
-8(-6) =
18/-3=
PLEASE HURRY! Thanks!
Answer:
-9=-9
8=8
-48=-48 or -8(-6)=-48
-6=-6 or 18/-3=-6
Step-by-step explanation:
Answer:
Simplify each expression involving signed numbers.
-7 – 2 =
✔ –9
12 + (-4) =
✔ 8
-8(-6) =
✔ 48
StartFraction 18 over negative 3 EndFraction =
✔ –6
can I have some brainiest
Step-by-step explanation:
5196
A large rectangle is made by joining three identical small rectangles as shown.
The perimeter of one small rectangle is 21 cm.
The width of one small rectangle is x cm.
x cm
Work out the perimeter of the large rectangle.
The final line of your answer should be of the form,
Perimeter of large rectangle is ... cm
Answer:
35 cm
Step-by-step explanation:
As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,
The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:
2(length + width) = Perimeter
2(2x + x) = 21
2(3x) = 21
6x = 21
x = 21/6 = 3.5 cm
x = 3.5 cm
From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:
2(length + width) = Perimeter
2(3x + 2x) = Perimeter
Perimeter = 2(5x)
Perimeter = 10x
Perimeter = 10(3.5)
Perimeter = 35 cm
Solve for x
12:15 = x 5
36
060
Answer:
x = 12:15=×5
36
060
Step-by-step explanation:
12:15=0
x=0
Answer:
4
Step-by-step explanation:
Divide the left side by 3
12:15
12/3 : 15/3
4:5
x would be 4
which of the following is the correct graph of the linear equation below? y+2=1/5(x-1)
Answer:
Step-by-step explanation:
(8x - 4)(7y + 2) multiplying binomials
Step-by-step explanation:
8x(7y+2)-4(7y+2)
=56xy+16x-28y-8
Answer:
56xy+16x-28y-8
Step-by-step explanation:
you have to use the FOIL method to solve this is problem which is
F-First
O-Outer
I-Inner
F-Last
The population, P in thousands of a resort community is shown by
P(t)= 500t/2t^2+9'
where t is the time in months since city council raised property taxes.
Find the interval on which the population was 40,000 or greater
Answer:
t ≤ 4.24
Step-by-step explanation:
P(t) ≥ 40000 implies
500t/(2t²+9) ≥ 40000
Multiplying through by t², we have
500t ≥ 40000(2t²+9)
500t/40000 ≥ 2t²+9
Collecting like terms
0.0125t ≥ 2t²+9
0 ≥ 2t²+ 9 - 0.0125t
2t²+ 9 - 0.0125t ≤ 0
2t²- 0.0125t + 9 ≤ 0
Using the quadratic formula,
[tex]t = \frac{-(-0.0125) +/-\sqrt{(-.0125)^{2} - 4 X 2 X 9} }{2 X 2} \\= \frac{0.0125 +/-\sqrt{(0.00015625 - 288} }{4}\\= \frac{0.0125 +/-\sqrt{-287.9998} }{4}\\= \frac{0.0125 +/-16.97i }{4}\\=0.00313 + 4.24i or 0.00313 - 4.24i[/tex]
The factors of the equation are (t - 0.00313 -4.24i) and (t - 0.00313 + 4.24i)
So, (t - 0.00313 -4.24i)(t - 0.00313 + 4.24i) ≤ 0
(t - 0.00313)² - 4.24² ≤ 0
(t - 0.00313)² ≤ 4.24²
taking square-root of both sides,
√(t - 0.00313)² ≤ √4.24²
t - 0.00313 ≤ 4.24
t ≤ 4.24 + 0.00313
t ≤ 4.24313 ≅ 4.24
t ≤ 4.24
Find the volume of this square
based pyramid.
10 in
12 in
[ ? ]
Answer:
480 in.^3
Step-by-step explanation:
volume of pyramid = (1/3) * (area of base) * height
Since this pyramid has a square for the base, the area of the base is
A = s^2, where s = length of the side of the square
volume = (1/3) * s^2 * h
volume = (1/3)(12 in.)^2 * (10 in.)
volume = (1/3)(144)(10) in.^3
volume = 480 in.^3
The volume of the square-based pyramid is 480 cubic inches as per the concept of the pyramid.
To find the volume of a square-based pyramid, we can use the formula:
Volume = (1/3) x base area x height.
In this case, the base of the pyramid is a square with a side length of 12 inches, and the height of the pyramid is 10 inches.
First, we calculate the base area of the pyramid, which is the area of the square base:
Base area = side length x side length
= 12 in x 12 in
= 144 square inches.
Now, we can substitute the values into the volume formula:
[tex]Volume = \frac{1}{3} \times 144 \times 10[/tex].
Multiplying these values, we get:
[tex]Volume = \frac{1}{3} \times1440 {in}^3[/tex]
Simplifying the expression, we have:
[tex]Volume = 480\ in^3[/tex].
To learn more about the pyramid;
https://brainly.com/question/17615619
#SPJ2
What is 1 + 1 in math 3
Answer:
11
Step-by-step explanation:
the answer is 11
Can you help me with this question
Answer:
-1.67
Step-by-step explanation:
please solve
thankyou in advance x
Answer:
For the first one,
x=6 and y=16
Step-by-step explanation:
If I think of any more then I will tell you
Write 14/√2 + √50 in the form b√2 where b is an integer.
Answer:
[tex]12 \sqrt{2} [/tex]
Step-by-step explanation:
Taking the terms one at a time,
[tex] \frac{14}{ \sqrt{2} } \\ \frac{14 * \sqrt{2} }{ \sqrt{2} * \sqrt{2} } \\ \frac{14 \sqrt{2} }{2} \\ 7 \sqrt{2} [/tex]
[tex] \sqrt{50} \\ \sqrt{25 * 2} \\ \sqrt{25}* \sqrt{2} \\ 5 * \sqrt{2} \\ 5 \sqrt{2} [/tex]
Adding the terms, you have;
[tex]7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2} [/tex]
Hope it helps!
I'm out!
Answer:
12
Step-by-step explanation:
14/√2 +√50= 14*√2/√2*√2+ √25*2= 7√2+5√2= 12√2
12√2= b√2
b=12
Which inequality is represented by this graph?
Answer:
C. y < -1/5x + 1
Step-by-step explanation:
We can eliminate A and B because the inequality sign is incorrect. If we were to graph those, the shaded area would be above the line, not below. We are left with C and D. Notice in our given graph that the line is dotted, so solution on the line are not included. So our answer would be C. because the inequality sign is y is less than and not y is less than or equal to.
Simply the expression (2x^2y)^3
Answer:
8 x^6 y^3
Step-by-step explanation:
(2x^2y)^3
(ab)^c = a^c * b^c
2^3 * x^2^3 * y^3
8 * x^2^3 * y^3
We know that a^b^c = a^(b*c)
8 * x^(2*3) * y^3
8 * x^(6) * y^3
8 x^6 y^3
MY LAST 2 QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!
1. Which statement can be made based on the diagram below? IMAGE BELOW
A) m∠1 + m∠2 = 180
B) m∠2 + m∠3 = 180
C) ∠2= ∠3
D) ∠3=∠4
4. What is the difference between a formal and informal proof?
A) A formal proof provides the reasons for steps, whereas an informal proof does not.
B) A formal proof uses a table or a list of steps, whereas an informal proof uses paragraphs.
C) A formal proof is much shorter, whereas an informal proof is longer.
D) A formal proof uses equations, whereas an informal proof only uses text.
if y= -6 when x= -2 find y when x= 5
Answer:
Y=15 when x=5
Step-by-step explanation:
if y= -6 when x= -2
So y=? When x=5
Y=15
Hope this helps
Good Luck