Answer:
Below in bold.
Step-by-step explanation:
a = 16, b = 19 and c = 14.
By the Cosine Rule:
cos A = (a^2 - b^2 - c^2) / -2bc, so:
cos A = ( 16^2 - 19^2 - 14^2) / (-2*19*14)
= -301 / - 532
= 0.565789
m < A = 55.54 degrees.
Now Using the Sine Rule:
a / sin A = b / sin B
16 / sin 55.54 = 19/sin B
sin B = 19 * sin 55.54 / 16
= 15.666 / 16
= 0.979125
m < B = 78.27 degrees.
Finally
m < C = 180 - 55.54 - 78.27 = 46.19 degrees.
Find the area of a triangle whose sides are 35 cm, 45 cm and 50 cm.
Answer:To find out the Area of a scalene triangle whose three sides are given, first find out the half perimeter
s = (a+b+c)/2
where a, b, and c are the length of the three sides of a triangle
s = (35 + 45 + 50) / 2
= 130 / 2
= 65 cm
Area of scalene triangle is given by
A = sqrt (s (s - a) (s - b) (s - c))
= sqrt (65 * (65 - 35) ( 65 - 45) (65 - 50))
= sqrt (65 * 30 * 20 * 15)
= sqrt (585000)
= 764.853 sq cm
Step-by-step explanation:
Here are the driving scores of 40 new drivers. make a relative frequency table for their scores:
48, 67, 62, 74, 42, 62, 60, 75, 91, 88, 48, 60, 51, 63, 57, 85, 69, 75, 97, 72,
71, 79, 84, 65, 63, 73, 46, 55, 62, 72, 80, 55, 55, 56, 83, 80, 64, 72, 83, 92
in creating the table, you will need to make some choices about how to bin the data: how many bins,
and how wide the bins should be. you may also need to make some decisions about what to do with numbers that fall in the boundary between two bins in writing up your answers be clear about how you are making these choices there is more than one reasonable way to do it so you need to be clear about which decisions you are making.
The relative frequency table is:
Class Frequency Relative frequency
40 - 50 4 0.1
50 - 60 6 0.15
60 - 70 11 0.18
70 - 80 9 0.23
80 - 90 7 0.18
90 - 100 3 0.08
What is the relative frequency table?The relative frequency measures how often a value appears relative to the sum of the total values. The class width is 10. The class width is the difference between the upper and lower boundary (e.g. 100 - 90).
Frequency is the number of times the numbers in the class interval appear in the data set. Relative frequency is the frequency of a class interval divided by the total frequency of the data set.
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I need help with this problem
5. Mickey bought pizza and sodas for himself and four of his friends. The pizza was $17.49,
and 5 sodas were $1.19 each.
If the pizza is sliced into 10 equal slices and each person eats 2 slices and drinks one
soda, what is the cost to each person?
$2.94
® $4.13
$3.50
$4.69
Answer:
D. is the correct option
Step-by-step explanation:
There is a total of 5 people, so we can either split the pizza cost into 5, or into 10 and multiply by 2 (since each guest ate 2 slices) We'll do the first option since it's simpler.
$17.49 ÷ 5 = 3.489 or rounded up to $3.50
Next, we'll add $1.19 to $3.59 which equals $4.69
Hope this helps!
Complete the table for the equation below
Answer:
-1
2
4
Step-by-step explanation:
You have to replace x with each number that is given, follow the order of operations, and then you have the correct y value.
Solve for x in the equation
Answer:
x = -1 + ⟌17
Step-by-step explanation:
You want to solve the equation for x by finding a, b, and c of the quadratic formula
It's going 2 by 2 for the paper i couldn't get it all in at a time so the first 2 are one paper and its like that for the next 2 papers but the last paper is the whole paper
it took I'd :safalbista10 10
In an orchard, there are 17 apple trees, 30 orange trees, and a cherry tree. what is the ratio of orange trees to cherry trees? a. 17:30 b. 47:30 c. 30:1 d. 1:30
Answer: C. 30:1
Step-by-step explanation:
A ratio of x:y is created by taking the number of x and the number of y, plugging them in, and reducing if necessary. In this problem, x is orange trees and y is cherry trees. There are 30 orange trees and only 1 cherry tree, so the ratio is 30:1. It cannot be reduced.
Answer with steps pls
Answer:
A) 2¹²
Step-by-step explanation:
Given :
3x - y = 12Equate the equation to y :
3x - y + y = 12 + y12 + y = 3x12 + y - 12 = 3x - 12y = 3x - 12Substituting in the expression :
[tex]\frac{8^{x} }{2^{y} }[/tex][tex]\frac{2^{3x} }{2^{3x-12} }[/tex][tex]{2^{3x-3x+12}}[/tex]2¹²AM I CORRECT
A school is having a canned food drive. Each class is challenged to collect 190 cans. If there are c classes in the school, which equation could be used to find the total number of cans, T, the school will collect if each class meets the challenge?
This answer does look right to me.
The number of cans the school will collect is T = 190 c.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
Given:
Each class is challenged to collect 190 cans.
If there are c classes in the school.
Then, the number of Cans can be collected is:
= Number of classes x number of cans each class collect
= c x 190
= 190 c
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A swimming pool in a certain resort is enjoyed by people because it has a floor measurement of 8 ft by 12 ft and a depth of 9 ft. How much water can it contain?
Answer:
864 ft3
Step-by-step explanation:
length = 12 ft
width = 8 ft
depth = 9 ft
Volume = ? = length * width * depth
Using the image above, what is the measure of Angle E? Round to the nearest hundredth
Answer:
the answer is 30°
Step-by-step explanation:
180°-90°-60°
Brett owns 236 shares of animite energy co., each of which offers a yearly dividend of $3.59. how much money does brett receive from dividends every year? a. $1,038.85 b. $1,529.59 c. $657.58 d. $847.24
The total amount of money that Brett receives from dividends every year is $847.24.
What is the total amount of money received from dividends?Dividends are payments made to the shareholders of a public company from the income of a company in a particular period.
Total dividends = dividend per share x total shares owned
236 x 3.59 = $847.24
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Answer:
Step-by-step explanation:
847.24
helppppp please !!!!
Step-by-step explanation:
the extreme values (minimum, maximum) of a function are the zero points of the first derivation of the function.
so,
f'(x) = 2x + b
and then
2x + b = 0
we know, x = 20 for the minimum
2×20 + b = 0
40 + b = 0
b = -40
therefore, the actual function is
f(x) = x² - 40x + 164
the target format is
f(x) = (x - h)² + k = x² - 2hx + h² + k
so,
-40x = -2hx
-40 = -2h
h = 20
and
h² + k = 164
20² + k = 164
400 + k = 164
k = -236
2) A 6-pack of energy drinks costs $3.00. The unit rate is $
Your answer
If 6 hotdogs cost $ 18, then what is the cost for each hotdog
Answer:
each hot dog costs $3
Step-by-step explanation:
$18÷6 hotdogs=$3 or $3×6 hotdogs=$18
Find the distance between the two points rounding to the nearest tenth (if necessary). (-6, 7) and (-3, 0)
Answer: [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]7.6[/tex] or [tex]\sqrt{58}[/tex]
Step-by-step explanation:
[tex](-6-(-3))^2 + (7-0)^2[/tex]
[tex](-6, 7) and (-3, 0)[/tex]
[tex]the[/tex] [tex]distance[/tex] [tex]between[/tex] [tex]the[/tex] [tex]two-points[/tex] [tex]rounding[/tex] [tex]to[/tex] [tex]the[/tex] [tex]nearest[/tex] [tex]tenth[/tex].
[tex](-6,7)=(-6=[/tex]
[tex]7=)[/tex]
[tex](-3,0)=(-3=[/tex]
[tex]0=)[/tex]
[tex]Exact Form:\sqrt{58}[/tex]
The answer is [tex]7.2[/tex] [tex](7.61577310)[/tex] and [tex]\sqrt{58}[/tex]
Answer: [tex]\sqrt{58}[/tex] and [tex]7.6[/tex]
Which probability is correct? p(a) = three-fifths p(b) = startfraction 16 over 31 endfraction p(a|b) = two-sevenths p(b|a) = startfraction 10 over 21 endfraction
The correct probability expression is (a) P(a) = three-fifths
How to determine the correct probability ?Using the data in the complete question, we have:
n(A) = 3
n(U) = 5
The probability of A is then calculated using:
P(A) = n(A)/n(U)
This becomes
P(A) = 3/5
Hence, the correct probability expression is (a) P(a) = three-fifths
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Answer:
It’s A my friend
Step-by-step explanation:
i did the quiz
yw :)
hope i helped/ made life easier
The nearest-known exoplanet from earth is 4.25 light-years away.
about how many miles is this?
give your answer in standard form.
Answer:
24 trillion miles. The nearest-known exoplanet is a small, probably rocky planet orbiting Proxima Centauri – the next star over from Earth. A little more than four light-years away, or 24 trillion miles.
The number of miles in 4.25 light-years will be 24.986 × 10¹² miles.
What is conversion?Conversion means to convert the same thing into different units.
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The nearest-known exoplanet from the earth is 4.25 light-years away.
We know that 1 lightyear = 5.879 × 10¹² miles.
Then the number of miles in 4.25 light-years will be
⇒ 4.25 light-years
⇒ 4.25 × 5.879 × 10¹² miles
⇒ 24.986 × 10¹² miles
The number of miles in 4.25 light-years will be 24.986 × 10¹² miles.
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A box contains 20 uckets mmbered from 1 to 20 tetor de candowm. find the probability it is divisible by 3 and 4
Answer:
that 2 out of 20 ratio you have 18 to 1 odds of getting these
NEED HELPP ASAPP SOMEONE HELP
Answer:
[tex]\textsf{C)}\quad g(x)=\dfrac{1}{2}(x-8)^2-8[/tex]
Vertex = (8, -8)
Step-by-step explanation:
Standard form: [tex]y=ax^2+bx+c[/tex]
Vertex form: [tex]y=a(x-h)^2+k[/tex]
where (h, k) is the vertex
Intercept form: [tex]y=a(x-p)(x-q)[/tex]
where p and q are the x-intercepts
Therefore, the form that most quickly reveals the vertex is
[tex]g(x)=\dfrac{1}{2}(x-8)^2-8[/tex]
The vertex is (8, -8)
do the math please. i need it nowwwwww
Using algebraic expressions, the value of x in the diagram given is calculated as: x = 4
What is an Algebraic Equation?An algebraic equation is an equation that has an unknown variable (i.e. x) and digits, which can be used to solve a problem.
Algebraic expression for Mat A is: 4x + 3
Algebraic expression for Mat B is: 2x + 11
We would have the following algebraic equation:
4x + 3 = 2x = 11
Solve for the value of x
4x - 2x = 11 - 3
2x = 8
x = 8/2
x = 4
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solve the system of equations. {2y=6x
x^2+y=4
Answer: (1,3)and (-4,-12)
Step-by-step explanation:
Work out
5 3/4 - 2 1/4
Answer:
3 1/2
Step-by-step explanation:
So because the fraction in attatched to the whole numbers have the same denominator you can literally just subtract the whole numbers and the fractions. (You do them seperatly) (5-2)=3 (3/4-1/4) = 2/4 or 1/2
PLEASE HELP ASAP !!
A particle moves in a a straight line along the x-axis. Its displacement (distance from 0 along the x-axis) is given by the following equation: f(t) = 3(t)^4 - 5(t)^3 + 6(t) - 7; t >= 0, where t is measured in seconds and f is measured in meters. Find the velocity of the function after 2 seconds.
The velocity of a particle when it moves on a straight line along the x-axis will be V= 42 m/s
What is velocity?Velocity is defined as the ratio of the distance moved by the object in a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.
Here we have a displacement function:-
F(t)=3t⁴-5t³+6t-7
So to find out the velocity we will differentiate the above equation with respect to t.
d(F(t)/dt=12t³-15t²+6
V=12t³-15t²+6
Put the value of t=2 seconds
V=12x(2x2x2)-15x(2x2)+6
V=42 meters per second
Hence the velocity of a particle when it moves on a straight line along the x-axis will be V= 42 m/s
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how is it no explain why
Answer:
the top answear
Step-by-step explanation:
the top aka 16^15/5 it should be 16^15 not that 5
Answer:
The answer is "no" because when two numbers with the same bases are divided, their powers are subtracted.
This should have been done instead:
[tex]\frac{6^{15} }{6^5}[/tex] = 6¹⁵ ⁻ ⁵
= 6¹⁰
Hope this helps!
A textbook has 428 numbered pages, starting with 1.
A textbook has 428 numbered pages, starting with 1. You are equally likely to stop on any of the pages if you flip through the book randomly.
What is the probability that you turn to page 45?
Answer:
1/428 or 0.00233644859% chance
Step-by-step explanation:
Simply because there is only one page 45 use 428 as your denominator and then divide 1 by 428!
Answer: 1/428
Step-by-step explanation: There are 428 pages so that is the denominator. 45 is only one page so 1 is the numerator. Therefore it is a 1 in 428 chance that you would land on 45. Hope this helped!
Which is an example of stratified random sampling created from each given population? A. Deciding who should be the president of the senior class by tossing a coin to choose between two candidates. B. C. Surveying members of a political party by calling people listed in the telephone directory whose last names begin with the letter A. D. Surveying subscribers to a magazine by separating the list of subscribers into four age groups and choosing a sample from each group proportional to its size in the population.
Answer:
the answer is D
Step-by-step explanation:
i just did the test
Answer:
D
Step-by-step explanation:
solve fast pls i am mark you
Answer:
[tex] \bold{ x = - \frac{5}{6} }[/tex]
Step-by-step explanation:
⠀
⠀
⠀⠀⠀⠀■ Question[tex] \large \sf{ \frac{4x + 9}{3x + 11} = \frac{4x + 3}{3x + 2} }[/tex]
Solve for x.
⠀
⠀
⠀⠀⠀⠀□ Solution⠀
⠀
We will cross multiply the above equation⠀
[tex] \sf (4x + 9)(3x + 2) = (4x + 3)(3x + 11) \\ \\ \sf 4x(3x + 2) + 9(3x + 2) = 4x(3x + 11) + 3(3x + 11) \\ \\ \sf 12 {x}^{2} + 8x + 27x + 18 = 12 {x}^{2} + 44x + 9x + 33 \\ \\ \sf 12 {x}^{2} + 35x + 18 = 12 {x}^{2} + 53x + 33[/tex]
⠀
⠀
Now we will take the values of RHS(right hand side) to LHS(left hand side) of the equation. During this, the values of RHS will get opposite sign while going to LHS.⠀
[tex] \sf 0 = 12 {x}^{2} + 53x + 33 - 12 {x}^{2} - 35x - 18 \\ \\ \sf 0 = 18x + 15[/tex]
⠀
⠀
Taking 15 to LHS⠀
[tex] \sf - 15 = 18x[/tex]
⠀
⠀
Dividing both RHS and LHS of the equation by 18⠀
[tex] \large{ \sf \frac{ - \cancel{15} \tiny {5}}{ \cancel {18} \tiny6 } = x} \\ \\ \boxed{ x = - \frac{5}{6} }[/tex]
Answer:
[tex]\textsf{$x=-\dfrac{5}{6}$}[/tex]
Step-by-step explanation:
Given: [tex]\textsf{$\dfrac{4x+9}{3x+11}=\dfrac{4x+3}{3x+2}$}[/tex]
1. Cross-multiply
(4x + 9)(3x + 2) = (4x + 3)(3x + 11)
2. Distribute
⟶ (4x + 9)(3x + 2) = (4x + 3)(3x + 11)
⟶ 4x(3x) + 4x(2) + 9(3x) + 9(2) = 4x(3x) + 4x(11) + 3(3x) + 3(11)
⟶ 12x² + 8x + 27x + 18 = 12x² + 44x + 9x + 33
3. Combine like terms
⟶ 12x² + 8x + 27x + 18 = 12x² + 44x + 9x + 33
⟶ 12x² + 35x + 18 = 12x² + 53x + 33
4. Subtract 12x² from both sides
⟶ 12x² - 12x² + 35x + 18 = 12x² - 12x² + 53x +33
⟶ 35x + 18 = 53x + 33
5. Subtract 35x from both sides
⟶ 35x - 35x + 18 = 53x - 35x + 33
⟶ 18 = 18x + 33
6. Subtract 33 from both sides
⟶ 18 = 18x + 33
⟶ 18 - 33 = 18x + 33 - 33
⟶ -15 = 18x
7. Divide both sides by 18 to isolate the variable
[tex]\longrightarrow\textsf{$\dfrac{-15}{18}=\dfrac{18x}{18}$}\\\\\\\longrightarrow\textsf{$\dfrac{-15}{18}=x$}\\\\[/tex]
8. Reduce
[tex]\longrightarrow\textsf{$\dfrac{-15\div 3}{18\div 3}=x$}\\\\\\\longrightarrow\textsf{$-\dfrac{5}{6}=x$}[/tex]
i need help to solve this
Step-by-step explanation:
(6+r)^2 = 81 + r^2
36 + 12r+ r^2 = 81 + r^2
12r = 81-36 = 45
r = 15/4 = 3.75
