The second one is correct (Radius is the distance from the center to any point on the circle)
Answer:
2.)
Step-by-step explanation:
The radius of any circle is the distance from the EXACT center, to any point of the circle.
Algebra 2 Unit 1 Assessment
Which of the following contains multiple variables?
4a + 5b + 1
4a + 5a + 1
4a - 1
4 - 1
Answer:
I would have to say A
Step-by-step explanation:
B has 2 of the same variables while A has to different variables and C&D have no variables there for the answer is A
A quadrilateral ABCD has the given angle measures. Select all measurements which
could come from a cyclic quadrilateral.
A:
angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°
B:
angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°
C:
angle A is 70°, angle B is 110°, angle C is 70°, and angle D is 110°
D:
angle A is 60°, angle B is 50°, angleC is 120°, and angle D is 130°
E:
angle A is 50°, angle B is 40°, angle C is 120°, and angle D is 150°
Answer:
A: angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°
B: angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°
D: angle A is 60°, angle B is 50°, angle C is 120°, and angle D is 130°
Step-by-step explanation:
The sum of opposite angles of a cyclic quadrilateral is 180°
It must satisfy the following:
A+C=180° and B+D=180°
Only choice A and B and D satisfy.
The correct options are options A, B, and D.
What is a cyclic quadrilateral?A quadrilateral having all its corners on a circle plus opposite angles' sum is 180° called a cyclic quadrilateral.
A) ∠A =90°
∠B=90°
∠C =90°
∠D =90°
∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
B) ∠A =80°
∠B=80°
∠C =100°
∠D =10 0°
∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
Similarly, options C, D, and E also can be checked whether they can come from a cyclic quadrilateral or not.
C) Cannot come from a cyclic quadrilateral since ∠A + ∠C =140°≠180°.
D) ∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
E)Cannot come from a cyclic quadrilateral since∠A + ∠C = 170°≠180°.
Therefore, The correct options are options A, B, and D.
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A warehouse has 1,750 boxes of water bottles. A truck unloaded another 530 boxes at the warehouse. Each box holds 48 bottles of water. How many bottles of water are in the warehouse?
Answer:
109440
Step-by-step explanation:
1750 boxes of water bottles with 48 bottles of water each: 1750 x 48 = 84000
plus the other 530 boxes at the warehouse which alone are: 530 x 48 = 25440
adding up 84000 + 25440 = 109440
The total number of bottles of water in the warehouse will be 27,190.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A warehouse has 1,750 boxes of water bottles.
A truck unloaded another 530 boxes at the warehouse.
Each box holds 48 bottles of water.
Then the number of bottles that were unloaded by truck will be
⇒ 530 x 48
⇒ 25,440
Then the total number of bottles of water in the warehouse will be
⇒ 25,440 + 1,750
⇒ 27,190
The total number of bottles of water in the warehouse will be 27,190.
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Find the measure of the numbered angles in each rhombus
Answer:
Step-by-step explanation:
I thought those lines mean that they are equal meaning that the number is 68.
In ΔDEF, the measure of ∠F=90°, the measure of ∠E=41°, and FD = 79 feet. Find the length of DE to the nearest tenth of a foot.
Answer:
120.4ft
Step-by-step explanation:
Find the diagram in the attachment.
The triangle shown is a right angled triangle with the side DE as the hypotenuse, EF is adjacent side while DF is the opposite side.
To get DE, we will use the SOH CAH TOA trigonometry identity
Using CAH which is defined as:
Cos(theta) = Adjacent/Hypotenuse
Cos 79°= 23/Hypotenuse
Hypotenuse = 23/cos79°
Hypotenuse = 23/0.191
Hypotenuse = 120.4feet
DE = 120.4feet (to nearest tenth)
Three sets of data are given below. What is the
median of the ranges?
Data A: -3,2,-5,6,8
Data B: 4,9,6,2
Data C: 8,3,0,4
A) 2
B) 5
C) 7
D) 8
HELP ME PLSSS IM GIVING BRAINLIEST!!!
Answer:
B
Step-by-step explanation:
An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: ______________, _______________ , ________________, _____________.
Answer:
An inequality sign is like an equal sign with a line through it
so, like, if you put = and / together
Answer:
<, >, =>, =<
Step-by-step explanation:
a) Simplify
X - 2 / 7(x - 2)2
Answer:
3x/7 + 8/7
Step-by-step explanation:
Which of the following expression is equivalent to 6^-7?
Answer:
B
Step-by-step explanation:
There are 30 female performers in a dance recital. The ratio of men to women is 4:5. How many men are in the dance recital?
A large store has a warehouse it uses for storage. Trucks back up to the loading dock where merchandise is unloaded, sorted, and stacked in the correct area of the warehouse. The large shelves in the storage area are 17 feet 8 inches apart so the forklift machines can operate between the shelves. Is that distance greater than or less than 216 inches?
Answer:
The distance is less than 216 inches.
Step-by-step explanation:
Each feet has 12 inches.
The large shelves in the storage area are 17 feet 8 inches apart
So, in inches, this distance is of:
17*12 + 8 = 212
This distance is less than 216 inches.
The volume of a cuboid is 189cm3.
The length is 7cm and the width is 9cm.
Work out the height of the cuboid.
To go on a summer trip, Felipe borrows $200. He makes no payments until the end of 3 years, when he pays off the entire loan. The lender charges sim
Interest at an annual rate of 2%.
Answer:
Step-by-step explanation:
A=P(1+rt)
A=200(1+.02(3))
A=200(1.06)
A=$212
Expand 6(3x-5)
I know it looks easy but I can't
Answer:
18x - 30
Step-by-step explanation:
in order to expand the expression, you need to use the distributive property to simplify 6(3x - 5).
first, distribute 6 to 3x, which is just 6 • 3x.
6 • 3x = 18xnow distribute 6 to -5, which is just 6 • -5.
6 • -5 = -30therefore, 6(3x - 5) expanded is 18x - 30 :) i hope this helps!! have a lovely rest of your day <3
A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall. Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 32 inches. What is the length (to the nearest tenth of a foot) of the tree’s shadow that will allow the tree to be cut down?
Answer:
create a proportion 72/348 = 32/x
Step-by-step explanation:
x = 1682
1682 ÷ 12 = 140.1
The length of the tree’s shadow that will allow the tree to be cut down will be 150.5 inches.
What are ratio and proportion?
A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall.
29 feet = 348 inches
6 feet 2 inches = 74 inches
Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 32 inches.
Then the length of the tree’s shadow that will allow the tree to be cut down will be
Let x be the tree’s shadow. Then we have
x / 348 = 32 / 74
x = 150.486
x ≅ 150.5 inches
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Pls pls help with this math
Answer:
7, -1
Step-by-step explanation:
x^2 - 6x + 7 = 0
(x - 7)(x + 1) = 0
==> x = 7, x = -1
Answer:
The answer would be 7,-1
Evaluate −nz−z2−2z when n=3. Simplify your answer.
Answer: n=
−z2−5
z
Step-by-step explanation:
Let's solve for n.
(−n)(z)−z2−2=3
Step 1: Add z^2 to both sides.
−nz−z2−2+z2=3+z2
−nz−2=z2+3
Step 2: Add 2 to both sides.
−nz−2+2=z2+3+2
−nz=z2+5
Step 3: Divide both sides by -z.
−nz
−z
=
z2+5
−z
Answer:
-z^2-5z
Step-by-step explanation:
To evaluate a polynomial at a given value, we substitute the given value for the variable and then simplify using order of operations. We are given n=3, so we substitute 3 for n in the polynomial −nz−z2−2z and simplify as follows.
−nz−z2−2z
−(3)z−z2−2z
−3z−z2−2z
−z2−5z
Suppose you are driving to visit a friend in another state. You are driving 65 miles per hour.
You must drive 520 miles total. If you have already driven 195 miles, how long will it take you
to reach your destination? Use h to represent the number of hours it will take to reach your
destination. Use the equation 65h+195 = 520.
A.2 hours
B. 5 hours
C. 15 hours
D. 22 hours
Answer:
b.5 hours
520-195=325
325/65=5
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
........................ .....
The system of equations y = 2x + 5 and y = –3x – 15 is shown on the graph below.
On a coordinate plane, 2 lines intersect at (negative 4, negative 3).
According to the graph, what is the solution to this system of equations?
(–4, –3)
(–3, –4)
(–5, 5)
(5, –5)
Answer: A
Explanation:
Answer:
A. (–4, –3)
Step-by-step explanation:
This is in case any one else had the answer on a different letter.
Write a rule for a function with a parabolic graph that contains the x-intercepts (-20,0) and (40,0) and a maximum point whose y-coordinate is 30.
Step-by-step explanation:
Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.
Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.
=> (0) = a[(40) - 10]² + 30
=> 900a + 30 = 0, a = -1/30.
Hence the rule is y = -(x - 10)²/30 + 30.
Let y = 5e5z
A. Find the differential dy
25e53
dy
B. Use part A. to find dy when x = - 3 and dir = 0.4.
Round your answer to 2 decimal(s).
dy =
Submit Question
Answer:
[tex]\displaystyle dy = 25e^{5x}dx\\dy = 3.27 \cdot 10^7[/tex]
General Formulas and Concepts:
Math
RoundingEuler's Number e - 2.71828Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Differentials
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹eˣ Derivative: [tex]\displaystyle \frac{dy}{dx}[e^u] = u'e^u[/tex]
Step-by-step explanation:
Part A
Step 1: Define
[tex]\displaystyle y = 5e^{5x}[/tex]
Step 2: Differentiate
[Function] eˣ Derivative: [tex]\displaystyle \frac{dy}{dx} = \frac{dy}{dx}[5x] \cdot 5e^{5x}[/tex][Derivative] Basic Power Rule: [tex]\displaystyle \frac{dy}{dx} = 5x^{1 - 1} \cdot 5e^{5x}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{dy}{dx} = 5 \cdot 5e^{5x}[/tex][Derivative] Multiply: [tex]\displaystyle \frac{dy}{dx} = 25e^{5x}[/tex][Derivative] [Multiplication Property of Equality] Isolate dy: [tex]\displaystyle dy = 25e^{5x}dx[/tex]Part B
Step 1: Define
[Differential] [tex]\displaystyle dy = 25e^{5x}dx[/tex]
[Given] x = 3, dx = 0.4
Step 2: Evaluate
Substitute in variables [Differential]: [tex]\displaystyle dy = 25e^{5(3)}(0.4)[/tex][Differential] [Exponents] Multiply: [tex]\displaystyle dy = 25e^{15}(0.4)[/tex][Differential] Evaluate exponents: [tex]\displaystyle dy = 25(3.26902 \cdot 10^6)(0.4)[/tex][Differential] Multiply: [tex]\displaystyle dy = (8.17254 \cdot 10^7)(0.4)[/tex][Differential] Multiply: [tex]\displaystyle dy = 3.26902 \cdot 10^7[/tex][Differential] Round: [tex]\displaystyle dy = 3.27 \cdot 10^7[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differentials
Book: College Calculus 10e
Simplify completely*****
Answer:
[tex]\displaystyle \frac{2(x + 4)}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{4x + 16}{6}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{4(x + 4)}{6}[/tex][Fraction] Reduce: [tex]\displaystyle \frac{2(x + 4)}{3}[/tex]Use the diagram below to find x and each missing angle. Please
Answer:
x=18
<1=34
<2=56
Step-by-step explanation:
e Michael is working on the roof of his house. Michael is on the ground, standing 5 feet away from the house. A ladder touches the house at a point 20 feet above the ground, and the ground at Michael's feet. What is the approximate distance between Michael and the point where the ladder touches the house?
Answer:
Step-by-step explanation:
25
Find the equation of the line that is perpendicular to the x-axis and passes through the point (-10,-1). Give the full equation as your answer. The equation is _______________
Answer:
x = -10
Step-by-step explanation:
First, determine the slope of the answer. The x-axis is a horizontal line, thus the new line must be vertical. All vertical lines are represented by the equation x = a number. That number represents the x-value of all the points the vertical line passes through.
So, since the line passes through (-10, -1), take the x-value of that point and put it into that equation. Thus, x = -10.
ou intend to draw a random sample in order to test a hypothesis about an unknown population mean. You will use a hypothesis test. A description of each of the steps of a hypothesis test follows, but they may be specified in the incorrect order. Specify the correct order of the steps. Determine the null and alternative hypotheses. Draw a conclusion about the unknown population using what is known about the sample. Determine the probability at which you will conclude that the sample outcome is very unlikely. Draw a random sample, and calculate the sample statistic.
Answer:
Determine the null and alternative hypotheses : STEP 1
Draw a conclusion about the unknown population using what is known about the sample : STEP 4
Determine the probability at which you will conclude that the sample outcome is very unlikely : STEP 2
Draw a random sample and calculate the sample statistic : STEP 3
Step-by-step explanation:
The correct order of the steps are :
Determine the null and alternative hypotheses : STEP 1
Draw a conclusion about the unknown population using what is known about the sample : STEP 4
Determine the probability at which you will conclude that the sample outcome is very unlikely : STEP 2
Draw a random sample and calculate the sample statistic : STEP 3
PLZ HELY ILL MARK BRANILEST
Answer:
518
Step-by-step explanation:
14 x 74 = 1036 1036 / 2 = 518
( really need brainliest , hope it helps )
( first )
Find the distance between (-5,6)and (3,2).
Answer:
[tex]\displaystyle d = 4\sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 6) → x₁ = -5, y₁ = 6
Point (3, 2) → x₂ = 3, y₂ = 2
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formulas]: [tex]\displaystyle d = \sqrt{(3+5)^2+(2-6)^2}[/tex][Distance] [√Radical] (Parenthesis) Add/Subtract: [tex]\displaystyle d = \sqrt{(8)^2+(-4)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{64+16}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{80}[/tex][Distance] [√Radical] Simplify: [tex]\displaystyle d = 4\sqrt{5}[/tex]How many cubes with side lengths of 1/3 cm does it take to fill the prism
Answer:
Answer:48 cubes
You could fit 48 cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm X 2 2/3 cm X 2/3 cm.
I hope it's helpful!