Answer:
Question 3: D, 90°
Question 2: D, 84°
Step-by-step explanation:
Answer:
2. d. 84°
3. d. 90°
Step-by-step explanation:
Q2
32 + 64 + x = 180x + 96 = 180x = 84°Q3
20 + 70 + x = 180x + 90 = 180x = 90°Which of the following figures uses the SSS theorem to prove that AEFG SAHIJ?
Answer:
W.
Step-by-step explanation:
SSS, or Side-Side-Side is used to prove two triangles similar
Figure W. is the only one that uses three side marks, all of the others use at least one angle to prove them similar.
f(x) = 2x + 3
g(x) = 3x + 2
What does (f+g) (x)equal?
To obtain credit, provide your answer with no spaces. Example answer: 42x+9
Answer:
The product of the functions f(x) = x2 and g(x) = x - 8 is f(x).
In a cage there are 10 rabbits between males and females. 4 of them escape. What is the probability that 3 are female and only one is a male? There are originally 6 females and 4 males.
Please give answer in fraction and not percentage!
Answer:
[tex]\frac{8}{21}[/tex]
Step-by-step explanation:
let S be the sample space for this experiment.
card(S) = 10C4 = 210
Let E be the event “having 3 female and only one male”
card(E) = 6C3 × 4C1 = 80
therefore
p(having 3 female and only one male escaped) is 80/210
[tex]\frac{80}{210} =\frac{8}{21}[/tex]
What percent of 4c in each expression?
*2a
A percentage is a way to describe a part of a whole. The percentage of 4c that is equal to 0.04c is 1%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The percentage of 4c that is equal to 0.04c can be found as,
x% of 4c = 0.04
(x/100) × 4c = 0.04
[tex]x = \dfrac{0.04c \times 100}{4c}[/tex]
x = 1%
Hence, the percentage of 4c that is equal to 0.04c is 1%.
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get it right for brainliest
Answer:
U={1,2,3,4,5,6,7,8,9,}
A={1,3,5,7,9}
B={2,4,6,8}
C={1,2,3,4,5,6}
now,
A∩B={nothing}U c
={1,2,3,4,5,6,7}
mark me as brainliest
Find the midpoint M of the line segment joining the points A = (7, - 8) and B = (- 3, - 4)
Answer:
The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
Use this calculator to calculate the midpoint, the distance between 2 points, or find an endpoint given the midpoint and the other endpoint.
Step-by-step explanation:
Step-by-step explanation:
(7+(-3))/2 , (-8+(-4))/2(7-3)/2 , (-8-4)/24/2 , -12/2midpoint = (2,-6)
BC = ??
need help asap
Answer:
BC = 5.87
Step-by-step explanation:
To find the last angle:
180° - 50° - 90° = 40°
Once we know that, we can use our given side angle pair to figure out the length.
[tex]\frac{7}{sin(50)}[/tex] * [tex]\frac{?}{sin(40)}[/tex] -> [tex]\frac{7*sin(40)}{sin(50)}[/tex]= ?
Then we plug into a calculator to get: 5.87
Answer:
5.87
Step-by-step explanation:
Concepts
The three different trigonometric functions are sine, cosine, and tangent. They can be memorized as the mnemonic SOHCAHTOA, where:
Sine = Opposite/HypotenuseCosine = Adjacent/HypotenuseTangent = Opposite/AdjacentThe hypotenuse will always stay the same, but depending on the highlighted angle, the opposite and adjacent side can change.
Application
In this case, we're asked to find the length of BC. We're given the length of the opposite side as 7 units. The adjacent side to m∠50° is BC. Since we're dealing with opposite and adjacent, we're going to be using tangent.
Solution (Calculator Needed)
tan(50°) = 7/xtan(50°) * x = 7/x * xtan(50°)x = 7x = 7/tan(50°)x ≈ 5.87Consider the sequence an = 9(0.4)n. which rule defines sn? sn = 6(0.4n) sn = 9(0.4n) sn = 6(1 – 0.4n) sn = 9(1 – 0.4n)
The rule that the defines the sum Sn is [tex]S_n =\frac{9 * (1 - r^n )}{0.6}[/tex]
How to determine the expression for Sn?The formula of the sequence is given as:
an = 9(0.4)^n
The above means that:
The first term, a = 9Common ratio, r = 0.4The sum Sn is then represented as:
[tex]S_n =\frac{a(1 - r^n )}{1 - r}[/tex]
So, we have:
[tex]S_n =\frac{9 * (1 - r^n )}{1 - 0.4}[/tex]
Evaluate the difference and divide
[tex]S_n =\frac{9 * (1 - r^n )}{0.6}[/tex]
Hence, the rule that the defines the sum Sn is [tex]S_n =\frac{9 * (1 - r^n )}{0.6}[/tex]
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Need help please answer ASAP!
#10
x²-9x²-3²(x+3)(x-3)Option A and B
#11
√9a²+16a²√a²(9+16)√a²(25)√5²a²5aOption C
Answer:
10. (2) x - 3
11. (3) 5a
Step-by-step explanation:
Question 10
x² - 9 = (x + 3)(x - 3)x² - 5x + 6 = (x - 3)(x + 2)x - 3 is a common factor(2) x - 3Question 11
Simplifying
√9a² + 16a²√a² (9 + 16)a√25(3) 5acan someone help me Im lost here
Answer:
walk area = 125.6 m²
Step-by-step explanation:
You are asked for the area of a sidewalk of given width that is around a circle of given radius. The pattern you're asked to fill in would have you compute the area of the inner circle, and of the outer circle, then find the difference between the areas.
__
The formula for the area of a circle is ...
A = πr²
bigger circleThe radius is shown as 11 m, so its area is ...
A = π(11 m)² = 121π m² = 379.94 m²
smaller circleThe radius is shown as 9 m, so its area is ...
A = π(9 m)² = 81π m² = 254.34 m²
area differenceThe difference between the two areas is ...
walk area = big circle area - small circle area
walk area = 379.94 m² -254.34 m² = 125.6 m²
_____
Additional comment
The area can also be computed by multiplying the centerline length of the sidewalk by its width. The center of the walk is (9+11)/2 = 10 m from the centers of the circles, so the circumference (centerline length) is
C = 2πr = 2(3.14)(10 m) = 62.8 m
The width of the sidewalk is 11 -9 = 2 meters, so its area is ...
(2 m)(62.8 m) = 125.6 m² . . . . sidewalk area
NEED HELP QUICK - State the reference angle and what quadrant the terminal side of the angle is in.
Answer:
the answer is 225
Step-by-step explanation:
y+135=360
y=360-135
y=225
8. People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7.2% of the American population has O-negative blood. If 10 people appear at random to give blood, what is the probability that at least 1 of them is a universal donor?
The probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.
What is the probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
People with type O-negative blood are known as the universal donors, which means any patient can receive a transfusion of O⁻ blood from the donors.
Only 7.2% of the population of America has O-negative blood group. Thus, the probability of this population to donate blood is,
[tex]P=\dfrac{7.2}{100}\\P=0.072[/tex]
The probability of population to be not O-negative,
[tex]P^{-1}=1-0.072\\P^{-1}=0.928[/tex]
The 10 people appear at random to give blood. The probability of at least 1 of them is a universal donor is,
[tex]P{\text { at least 1 }}=1-(0.928)^{10}\\P{\text { at least 1 }}=0.526[/tex]
Thus, the probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.
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A rectangular swimming pool has a length of 50 meters, a width of 25 meters, and a depth of 2 meters. How much paint would be needed to cover the sides and bottom of the pool?
Answer:
2500m³
Step-by-step explanation:
A = length x width x height
50m x 25m x 2 m
=2500m³
A rice field in the shape of a parallelogram is 300 m long. The perpendicular distance between the base and its opposite side is 7. What is asked for in the problem? 120 m. What is its area? 8. What facts are given? 9. What is the formula to solve the problem? 10. What is the complete answer?
Question : A rice field in the shape of a parallelogram is 300 m long. The perpendicular distance between the base and its opposite side is 120m . Find area .
Answer36000 sq. m
SolutionGiven :
parallelogram is 300 m long and distance between base and its opposite side is 120m* .
Length = 300 m
Perpendicular height = 120 m
Formula used :Area of parallelogram = Length × Perpendicular height.
=> 300 × 120
=> 36000 sq. m
_____________Parallelogram is a type of quadrilateral whose opposite sides are equal .3. Find the probability of rolling a prime number when a 14-sided die is rolled.
Answer:
3/7
Step-by-step explanation:
Probability = number of favorable outcomes/total number of possible outcomes
We know the total number of possible outcomes is 14 since there are 14 sides to the dice.
Let's find how many of those numbers are prime numbers.
2, 3, 5, 7, 11, and 13 are all the prime numbers between 1 and 14, so there are 6 favorable outcomes.
Now create the fraction then reduce.
6/14 reduce by 2/2
3/7
Simplify these four questions
Answer:
a. 5a + 3b-5
b. 4e^2 + f^2 + f
c. 42xy(z)^2
d. 7x(y)^2
Step-by-step explanation:
I added/subtracted/multiplied/divided like terms.
32 - 5v = 3v + 8
Please answer this lol I only have 30 minutes left on my skills-
Answer:
3
Step-by-step explanation:
32 - 5v = 3v + 8
Subtract V from both sides
32 -5v = 3v + 832 -3v = -3v + 8So . .
= 32 -8v = 8
Now . .
Subtract 32 from both sides
-32 -8v = 32-8 = -24= -8v = -24Now divide to get your answer!
-24 / -8 = 3
What is -2/8 simplified?
Answer:
[tex]\huge\boxed{\sf -\frac{1}{4} }[/tex]
Step-by-step explanation:
Given Fraction:
[tex]\displaystyle =-\frac{2}{8}[/tex]
Divide both numerator and denominator by 2 to simplify.
[tex]\displaystyle =-\frac{2 \div 2}{8\div 2} \\\\= -\frac{1}{4} \\\\\rule[225]{225}{2}[/tex]
Solve the equation E = v + Ir for r
A. r = E-v / I
B. r = I(E - v)
C. r = v + I / E
D. r = E - v - I
Show ALL Work
Answer:
A. [tex]\text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]
Step-by-step explanation:
E = v + Ir
E - v = Ir (subtract by v on both sides)
(E-v)/I = r (divide by I on both sides)
[tex]\therefore \text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]
what shape always has four congruent sides
Answer:
A rhombus
Step-by-step explanation:
A rhombus is a parallelogram with 4 congruent sides and it always has four congruent sides. It also has two pairs of equal angles.
Answer: rhombus
Step-by-step explanation: Correct answer is a rhombus! A rhombus is a parallelogram with 4 congruent sides and it always has four congruent lines . a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .
What is the resulting ordered pair if the value of the independent variable is –2? f(x)=2x^3+3x^2 A. (–5, –2) B. (–2, –4) C. (–2, –28) D. (–4, –2)
The resulting ordered pair if the value of the independent variable is –2 will be B. (-2, -4).
How to solve the variable?From the information given, it was stated that we should calculate the resulting ordered pair if the value of the independent variable is –2.
Therefore, in this case, x = -2. Therefore, we will play it into the equation. This will be:
f(x)=2x³ +3x²
= 2(-2)³ + 3(-2)²
= -16 + 12
= -4
Therefore, the ordered pair will be (-2, -4).
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If 5 cars are selected from 8 and arranged side-by-side in a parking lot, how many permutations are
possible?
==========================================================
Explanation:
We have five slots which we can label A,B,C,D,E
There are 8 choices for slot AThen 7 choices for B6 for C5 for D4 for EWe start at 8 and count down by 1 each time until all slots are accounted for. Then multiply out those items: 8*7*6*5*4 = 6720
--------------
Another approach is to use the nPr permutation formula.
Plug in n = 8 and r = 5.
[tex]n P r = \frac{n!}{ (n-r)! }\\\\8 P 5 = \frac{8!}{ (8-5)! }\\\\8 P 5 = \frac{8!}{ 3! }\\\\8 P 5 = \frac{8*7*6*5*4*3!}{ 3! }\\\\8 P 5 = 8*7*6*5*4\\\\8 P 5 = 6720\\\\[/tex]
In the second to last line, the "3!" factorial terms cancel out.
We have the string 8*7*6*5*4 show up again to help reinforce the previous section.
Given the point (3, 3.5), name a second point so that the two points form a horizontal segment.
For the horizontal segment, the value of the ordinate will not change. Then the second point will be (x, 3.5).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The point is given as (3, 3.5).
Then name a second point so that the two points form a horizontal segment.
For the horizontal segment, the value of the ordinate will not change.
Let x be the abscissa.
Then the point will be given as (x, 3.5).
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Suppose that the mean GPA (grade point average) for a random sample of all seventh graders at your school is 3.25 and the mean GPA for a random sample of all eighth graders at your school is 2.85. Explain why this does not tell us that the mean GPA of all seventh graders at your school is different from the mean GPA of all eighth graders at your school.
Answer:
I don't know how to explain
Question 3
ceiling fan the blades of a ceiling fan have a length of 26 inches. the tips of the blades follow a circular path. how far does the tip of a
blade travel in 1/5 of a rotation? round to the nearest hundredth of an inch,
________inches
The distance the blades travel in 1/5 of a rotation is 32.67 in
Since the distance the blades of the ceiling fan rotate is the length of an arc, we find this length
What is the length of an arc?The length of an arc is given by
L = Ф/360° × 2πr where
Ф = angle of rotation and r = length of blades of fanSince
Ф = 1/5 of a rotation = 1/5 × 360° = 72° and r = 26 inThe distance the blades travelSo, substituting the values of the variables into the equation, we have
L = Ф/360° × 2πr
L = 72°/360° × 2π × 26 in
L = 1/5 × 52π in
L = 10.4π in
L = 32.67 in
So, the distance the blades travel in 1/5 of a rotation is 32.67 in
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I need help!! I don’t know which one it is.
Which point is closest to point A?
Point__
Answer:
Point D
Step-by-step explanation:
The length from Point A to Point D is 6 units, while the length from point A to Point C is 7 units, and the length from Point A to Point B is also 7 units. Because to reach Point C, you have to make one turn, adding one more unit. Same with Point B.
============================================================
Explanation:
Point A is at (-3,3) while point B is at (2,5)
Let's use the distance formula to find the distance between these points.
[tex]A = (x_1,y_1) = (-3,3) \text{ and } B = (x_2, y_2) = (2,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-2)^2 + (3-5)^2}\\\\d = \sqrt{(-5)^2 + (-2)^2}\\\\d = \sqrt{25 + 4}\\\\d = \sqrt{29}\\\\d \approx 5.3852\\\\[/tex]
The distance from A to B is approximately 5.3852 units.
-------------
Point C is at (-2,-2)
Let's find the distance from A to C
[tex]A = (x_1,y_1) = (-3,3) \text{ and } C = (x_2, y_2) = (-2,-2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-2))^2 + (3-(-2))^2}\\\\d = \sqrt{(-3+2)^2 + (3+2)^2}\\\\d = \sqrt{(-1)^2 + (5)^2}\\\\d = \sqrt{1 + 25}\\\\d = \sqrt{26}\\\\d \approx 5.099\\\\[/tex]
The distance from A to C is approximately 5.099 units.
So far, point C is the closest to point A.
-------------
Point D is at (3,3)
We could use the distance formula to find the distance from A to D, but we can simply subtract the x coordinates and make the result positive if needed. This works because points A and D have the same y coordinate.
D - A = 3 - (-3) = 3+3 = 6
The distance from A to D is 6 units.
Or you could count out the horizontal spaces between the points and you should count 6 spaces.
----------------
Summary:
Distance from A to B = 5.3852 (approximate)Distance from A to C = 5.099 (approximate)Distance from A to D = 6 (exact)The smallest distance value is the 5.099, which is from A to C.
Therefore, point C is closest to point A.
6*10^-2 is how many times as large as 2*10^-8?
Choose 1 answer:
A
3*10^-10
B
3*10^-6
C
3*10^6
D
3*10^10
Answer:
C) [tex]3\cdot10^{-6}[/tex]
Step-by-step explanation:
Divide the two numbers:
[tex]\displaystyle \frac{6\cdot10^{-2}}{2\cdot10^{-8}}=\frac{6}{2}*\frac{10^{-2}}{10^{-8}}=3\cdot10^{-2-(-8)}=3\cdot10^{-2+8}=3\cdot10^{6}[/tex]
Thus, C is the correct choice.
Answer:
is A
Step-by-step explanation:
a basket contains a supply of marbles of 4 different colors. marbles with the same color are assumed to be identical. in how many ways can you choose 6 marbles from the basket
For the basket with 4 different types of marbles, there are 4,096 combinations in which we can select 6 marbles (in order).
in how many ways can you choose 6 marbles from the basket?Here we need to identify the number of selections. We have 6 selections (assuming that order matters).
Marble 1:Marble 2:Marble 3:Marble 4:Marble 5:Marble 6:Now we need to find the number of options for each of these. We know that there are 4 different colors of marbles, then for each selection, we have 4 options:
Marble 1: 4 optionsMarble 2: 4 optionsMarble 3: 4 optionsMarble 4: 4 optionsMarble 5: 4 optionsMarble 6: 4 optionsThe total number of combinations is given by the product between the numbers of options, so we have:
C = 4*4*4*4*4*4 = 4,096 combinations.
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From 1984 to 1995 the winning scores for a golf tournament were 275,279,279,276,278,277,280,282,284and 270 Find the mean of the data is
Answer: The mean of the data is 278.
Step-by-step explanation:
To the the mean of the data, we’ll have to add all the numbers up and divide it by the amount of data.
275+279+279+276+278+277+280+282+284+270=2780
2780/10=278
ANSWER ASAP FOR BRAINLIEST
Dimitar puts only dimes and quarters into his piggy bank. Right now, it contains five more dimes than quarters, and their total value is exactly $74. How many quarters and how many dimes are in Dimitar's piggy bank?
0.35x=73.85, comgining moving terms
divide both sides by 0.35
x=211 quarters, which is $52.75 ANSWER
x+5=216 dimes, which is $21.60 ANSWER
That total is $74.35
Answer:
the answer is 210 quarters and 215 dimes
Step-by-step explanation: