the pizza order changed to a 14-inch pizza from a ten-inch pizza. Approximately how much did the area change after the change in diameter?
a. 4 square inches
b. 24 square inches
c. 25 square inches
d. 96 square inches
B.)
Step-by-step explanation:
area of a 10 inch pizza: A=pi * r^2 = 25 pi
area of a 14 inch pizza : A= 49 pi
the change : 49pi - 25pi = 24 pi or about 75.39822
Express each of the following rational numbers in power notation
(i) -1/125
Answer:
[tex]\displaystyle \large{-5^{-3}}[/tex]
Step-by-step explanation:
Given:
[tex]\displaystyle \large{-\dfrac{1}{125}}[/tex]
Convert to exponent using the laws of exponent:
[tex]\displaystyle \large{\dfrac{1}{a^n} = a^{-n}}[/tex]
That means we must find the base and exponent for 125, which is [tex]\displaystyle \large{5^3}[/tex]:
[tex]\displaystyle \large{-\dfrac{1}{125} = -\dfrac{1}{5^3}}[/tex]
From the law of exponent:
[tex]\displaystyle \large{-\dfrac{1}{5^3} = -5^{-3}}[/tex]
Therefore, the solution is [tex]\displaystyle \large{-5^{-3}}[/tex]
help help help help help help help
Un obrero tiene una escalera de 12 metros. ¿Que ángulo debe formar con el suelo para alcanzar una altura de 8 metros?
Usando el concepto de seno, hay que la escalera debe formar un angulo de 41.8º con el suelo.
¿Qué es el seno de un angulo?El seno de un angulo viene dada por el cambio vertical dividido por el cambio diagonal.
En este problema:
El cambio diagonal es de 12 metros.El cambio vertical es de 8 metros.Por eso:
[tex]\sin{\alpha} = \frac{8}{12}[/tex]
[tex]\alpha = \sin^{-1}{\left(\frac{8}{12}\right)}[/tex]
[tex]\alpha = 41.8^\circ[/tex]
La escalera debe formar un angulo de 41.8º con el suelo.
Puede-se aprender más a cerca de el concepto de seno en https://brainly.com/question/24766917
#SPJ1
Find the indicated arc and angle measures:
с
D
F
DO
B
70960
E
A
arc AB Degree:
arc BC Degrees:
arc ABC Degrees:
arc CDB Degrees:
Answer:
arc AB = 70°
arc BC = 110°
arc ABC = 180°
arc CDB = 250°
Step-by-step explanation:
Since these angles are not inscribed, but are at the center point of the circle, the angles and arcs will be the same measure.
Solve for arc AB:
Angle AFB = 70°, so arc AB = 70°
Solve for arc BC:
Angle AFC is a straight angle so it is 180°. To find angle BFC, subtract angle AFB from 180°.
180 - 70 = 110°
Since angle BFC = 110°, arc BC = 110°
Solve for arc ABC:
Add arc AB and arc BC together.
70° + 110° = 180°
arc ABC = 180°
Solve for arc CDB:
There are 360° in a cirlce. To find arc CDB, subtract arc BC from 360°.
360° - 110° = 250°
arc CDB = 250°
Step-by-step explanation: How many solutions does the system of equations below have?
y=
–4
9
−
4
5
y=
–4
9
−
4
5
Answer:
3
Step-by-step explanation:
The owner of a computer store is offering a discount on a computer sold in the store.
Computer Sale!
Original Price: $598.00
25% off original price
8% tax applied after discount
owner offers a payment plan where the total cost of the computer is paid in 6 equal monthly payments.
Determine the amount of each monthly payment.
Show your work or explain your answer. please help me ASAP it is due is 20 mins please help i will mark brainlest for correct answer
Answer:
$ 80.73
Step-by-step explanation:
You can find the complete solution in the given attachment
Estimate
10
12
−
3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.
Answer:
The bench mark values might be 10/120 - 30/80
Step-by-step explanation
Work out the gradient of the straight line through (-2, 1) and (1, 10)
Answer:
3
Step-by-step explanation:
How did Mandela get the name “Nelson?”
Answer:
On the first day of school his teacher, Miss Mdingane, gave each of the students an English name. This was the custom among Africans in those days and was undoubtedly due to the British bias of education. That day, Miss Mdingane told him that his new name was Nelson.
In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band
Answer:
whats rhe question itdoesntsay
pls help with number 27 to find the area 20 points for awnser and thank you brainly people for helping me so much!
Answer:
27 cm²
Step-by-step explanation:
Refer to the attachment for visual reference.
First, divide into each rectangles or squares.
Then find the areas individually.
After that, combine all areas and that is the area of figure.
Area of Rectangle
A = width * length (Keep in mind that width is always less than length.)
Area of Square
A = side * side
Unit for area is cm² because we are finding area which is two dimensional.
What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply. –11 –2 0 2 11What values of x make the equation x2 + 9x – 22 = 0 true? Check all that apply.
–11
–2
0
2
11
Given Equation :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]
To Find :
The value of x .Solution :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + 9x - 22 = 0 \:}}} \\ \\[/tex]
We are to find two numbers such that,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad p \times q = 22 \:}}} \\ \\[/tex]
The two numbers are 2 and 11, so
[tex]\\ {\longrightarrow \pmb{\sf {\qquad {x}^{2} + ( - 2x) + 11x - 22 = 0 \:}}} \\ \\[/tex]
Finding common factors :
[tex]{\longrightarrow \pmb{\sf {\qquad {x} (x - 2) + 11(x - 2) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (x - 2)(x + 11) = 0 \:}}} \\ \\[/tex]
Whether, the value of x is :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x - 2) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = 2 \:}}} \\ \\[/tex]
Or, Whether the value of x is :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x + 11) = 0 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = - \: 11 \:}}} \\ \\[/tex]
So,
Therefore the value of x is (-11) or 2.Answer:
A) –11
D) 2
Step-by-step explanation:
Got it right on edge!
Please help me with this question
Step-by-step explanation:
Insribed angle is half the measure of intercepted arc.
m∠CAB = 1/2mCDBSince O is the center COB is the diameter of this circle.
The diameter splits the circle into two equal arcs. As the full circle is 360°, each semicircle is 180°.
So
1/2mCDB = 1/2(180°) = 90°And the angle measure is
m∠CAB = 90Proved
Answer:
[tex]\overline{\sf COB}[/tex] is the diameter of circle O.
The angle on a straight line is 180° ⇒ ∠COB = 180°
The angle at the center of a circle is twice the angle at the circumference:
⇒ ∠CAB = 1/2 of ∠COB = 1/2 x 180°
⇒ ∠CAB = 90°
I need help on this question
Answer:
Step-by-step explanation:
help solve this and reward is brainlist.
Answer:
[A] 20%
[B] 400%
Step-by-step explanation:
Part A:
To Find: Percentage
= Price in 1985/price in 2003
Thus,
$62000×100%=6200000÷310000=20%
Part B:
To FInd: Percentage increase
= (Price in 2003-price in 1985)/price in 1985
Thus,
$248000×100=$24800000÷62000=400%
[RevyBreeze]
can someone help me with this?
Answer:
66°
Step-by-step explanation:
mJK = ( 6x - 45 )°
mJH = ( x + 20 )°
mJK = mJH
6x - 45 = x + 20
5x = 65
x = 13
mHK = ( x + 20 )° + ( 6x - 45 )°
mHK = 2 × 33° = 66 °
Find the perimeter of each figure.
6 cm
2 cm
2 cm
6 cm
Answer:
16
Step-by-step explanation:
no image, but 6 + 2 + 2 + 6 = 16
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
The degree of the polynomial is
options 2,3,5,6
The leading coefficient of the polynomial is
options 2,3,5,6
Is there a constant term in the polynomial?
options: yes, no.
This expression can be called a blank
expression.
options: monomial, binomial, trinomial
Answer:
2
5
YES
trinomial
Step-by-step explanation:
Given expression: [tex]5x^2+3x+6[/tex]
The degree of the polynomial is the highest exponent = 2
The leading coefficient, is the coefficient (value) before the [tex]x^2[/tex] = 5
The constant in the polynomial is the value without a variable, i.e. 6 = YES
This expression can be called a trinomial expression since it is a polynomial with exactly three terms.
Expression given:-
5x^2+3x+6So
Degree=2Leading coefficient=5Constant yes(6)Three variables a,b,c hence trinomialA dress shop has a markup rate of 200%. find the selling price of a dress that cost the store owner $80.
pls help
Answer:
$240
Step-by-step explanation:
200% x 80 = 160
80 + 160 = $240
How are area and volume similar? (will give brainliest for the right answer)
A both take up an amount of space
B both are 2-dimensional
C both have length, width, and height
D both are 3-dimensional
Answer:
the one where it say it takes height
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I got 100%
Find the measure of the missing angle in this right triangle.
Answer:
Missing angle is 55°
Step-by-step explanation:
Given :-
One angle is 35° and one is 90°To find:-
Measurement of other angleSolution:-
We know that the sum of all angles in a triangle is 180°
and let the unknown angle be x
So ,
90°+35°+x = 180°
x = 180° - 125°
x = 55°
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon.
The radius of the balloon given the information in the question is 8.98cm.
What is the radius of the balloon?The first step is to determine the volum of the balloon.
Volume = 81π cm^3 x 12 = 972π cm^3
Now, determine the radius using this formula:
∛[Volume / (4/3π )]
∛[972π cm^3/ (4/3π )] = 8.98cm
Here is the complete question:
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon. What is the radius of the balloon?
To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125
A car with a mass of 1,500 kg broke down on the side of the road. How much force will be required
for a tow truck to accelerate the car at a rate of 3 m/sec^2
Answer:
the answer is 4,500kgm/s2
Step-by-step explanation:
force= mass × acceleration
[tex]f = 1500 \times 3 \\ = 4500kgm {s}^{ - 2} [/tex]
Which of the objects below best holds 1 quart? A. gas tank pitcher C. coffee mug D. pool
-10 - | 5 -12 | + 3 + | 5 + 12 | =
Answer:
3
Step-by-step explanation:
the absolute value function always returns a positive value , that is
| - a | = | a | = a
given
- 10 - | 5 - 12 | + 3 + | 5 + 12 |
= - 10 - | - 7 | + 3 + | 17 |
= - 10 - 7 + 3 + 17
= 3
Find the slope of the line that is parallel and perpendicular to the following equation.
-5x - y = 1
Answer:
slope of perpendicular: [tex]\sf \bold{\frac{1}{5} }}[/tex]
slope of parallel: -5
rewrite in slope intercept form: [ y = mx + b ]
-5x - y = 1-y = 1 + 5xy = -5x - 1comparing with y = mx + b [ where m is slope, b is y-intercept ]
Parallel slope is same
formula: m₁ = m₂
m = -5slope of parallel: -5
Perpendicular slope is negatively reciprocal
formula: m₁ = -(m₂)⁻¹
m₁ = -(-5)⁻¹m₁ = -(-1/5)m₁ = 1/5slope of perpendicular: 1/5
Answer:
Slope of the line that is parallel: -5
Slope of the line that is perpendicular: [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
For the parallel line:
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)-5x - y = 1 <== add 5x to both sides
+5x +5x
-y = 5x + 1 <== divide both sides by -1
/-1 /-1
y = -5x - 1
The slope of the line that is parallel to this line is -5.
For the perpendicular line:
*Perpendicular lines have negative reciprocals*
Steps:
1. Take your original slope (-5)
2. Flip it (-1/5)
3. Change the sign (1/5)
For a slope of -5, the reciprocal would be: [tex]\frac{1}{5}[/tex]
Hope this helps!
Bob shoots off a small rocket from the balcony of his apartment. The balcony is 30 ft above the ground and the rocket travels at 40 ft/second. When does it reach the highest point? What is the highest point? When does it hit the ground (seconds)?
From the calculations;
The highest point above the ground is 112 feetThe time taken to reach this height is 8 secondsEquations of motionThe equations of motion are used in kinematics to obtain the various variables that has to do with motion.
In this case;
distance covered = 30 ft
initial velocity = 40 ft/second
Final velocity = 0 m/s at the maximum height
Hence;
v^2 = u^2 - 2gh
since v = 0
u^2 = 2gh
h = u^2/2g
h = (40)^2/2(9.8)
h = 82 feet
highest point above the ground = 82 feet + 30 feet = 112 feet
Now;
v = u - gt
since v = 0
u = gt
t = u/g
t = 40/9.8
t = 4 seconds
Time taken to hit the ground = 2(4 seconds) = 8 seconds
Learn more about kinematics:https://brainly.com/question/27126557
The question is what is the range of the function shown on the graph above?
Answer:
0 ≤ y ≤ 7
Step-by-step explanation:
Hey there! :)
Please see an explanation for better understanding, and let me know if you have any questions!
What is Range?Range in Function means set of all y-values. We know by the graph that y-value is a vertical value while x-value is horizontal value. From the graph, we have y-axis which is vertical line and x-axis which is horizontal line.
For this question, I would like you to focus on y-value instead, at best, only. That is because we are finding the range, as said above that range is the set of all y-values.
StepsTo find the range in graph, first, you must understand that range starts from minimum point/value to maximum point/value. Therefore, we will have to find y-values for both points and combine the interval.
From the graph, we see that there are two points given which are (-6,0) and (9,7). Since (-6,0) is the minimum point because below y = 0, there exists no values. On the other hand, (9,7) is our maximum point because above y = 7, there exists no values.
Focus only y-values, for both points, we have y = 0 and y = 7. Since range is minimum < y < maximum - for opened dots of both points or minimum ≤ y ≤ maximum - for closed dots for both points.
In case if you don’t know what opened dots and closed dots are. Opened dots are white dots while closed dots are colored dots, usually dark ones.
Thus, from the y-values of both point, our range is 0 ≤ y ≤ 7
Do number 1 pleaseeee
Answer:Let's start b writing down coordinates of all points:A(0,0,0)B(0,5,0)C(3,5,0)D(3,0,0)E(3,0,4)F(0,0,4)G(0,5,4)H(3,5,4)a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.A(0,0,0)ReflectingA(0,0,0)B(0,5,0)ReflectingB(0,-5,0)C(3,5,0)ReflectingC(3,-5,0)D(3,0,0)ReflectingD(3,0,0)b.)A(0,0,0)MovingA(-2,-3,1)B(0,-5,0)MovingB(-2,-8,1)C(3,-5,0)MovingC(1,-8,1)D(3,0,0)MovingD(1,-3,1)
Step-by-step explanation: