Triangle ABC is a right triangle, with right angle B. Side AC has a
length of 13. Side AB has a length of 5. Find the length of side
CB.
Answers
The length of side BC is approximately 10.928.
What is the right triangle?
In a right triangle, the side opposite the right angle is called the hypotenuse. In triangle ABC, side AC is the hypotenuse, and sides AB and BC are the other two sides.
To find the length of side BC, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
We can use the given information to write the Pythagorean theorem in the form:
AC^2 = AB^2 + BC^2
Substituting the given lengths, we get:
13² = 5² + BC²
Solving for BC, we get:
BC = √(13² - 5²)
= √(144 - 25)
= √(119)
= approximately 10.928
Therefore, the length of side BC is approximately 10.928.
To learn more about the right triangle visit,
https://brainly.com/question/2217700
#SPJ1
Related Questions
The graph below is a polynomial function in the form f(x)=(x-a)(x-b). What are a and b?
A=
B=
Answers
The value of a and b for the given polynomial function f(x)=(x-a)(x-b) are a= -1, 2 and b=2, -1.
What is meant by polynomial function?A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. For instance, the polynomial 2x+5 has an exponent of 1. The zero polynomial function, linear polynomial function, quadratic polynomial function, and cubic polynomial function are the four most common types of polynomials in precalculus and algebra.
Given,
f(x)=(x-a)(x-b)
From the above graph, f(x) passes through points (2, 0), (-1, 0), (0, -2)
Let us take (2, 0)
(2-a)(2-b)=0
4-2b-2a+ab=0
(-1, 0)⇒(-1-a)(-1-b)=0
1+b+a+ab=0
(0, -2)⇒-2=(-a)(-b)
ab= -2
a= -2/b
4-2b-2a-2=0
-2a-2b+2=0
a+b-1=0
b²-2b+b-2=0
b(b-2)+1(b-2)=0
b= 2 or b= -1
a+2-1=0
a= -1
a-1-1=0
a=2
The value of a and b for the given polynomial function f(x)=(x-a)(x-b) are a= -1, 2 and b=2, -1.
To know more about polynomial function, visit:
https://brainly.com/question/12976257
#SPJ1
Find the total cost: Alexandra bought a television set for $1105 in New York, where the sales tax rate was
8.75% of the purchase price.
Answers
The total cost of the Television is $ 1201.68.
What is Sales tax:The governments collect a consumption tax known as a sales tax on purchasing goods and services. It is always expressed as a percentage of the Purchase cost of goods and services. Here
Total cost = Purchase price + sales tax.Here we have
Alexandra bought a television set for $ 1105 in Newyork
The rate of sales tax = 8.75%
Therefore,
The total cost of Television = Cost of Television + sales tax
As we know sales tax = 8.75%
=> tax on Television = 8.75% of 1105
= [tex]\frac{8.75}{100} \times 1105[/tex]
= 0.0875 × 1105
= 96.68
The total cost of Television = 1105 + 96.68
= 1201.68
Therefore,
The total cost of the Television is $ 1201.68.
Learn more about Sales tax Problems at
https://brainly.com/question/28711828
#SPJ1
The number of point a baketball team cored ha 3,4, and 5 a factor. What i the leat number of point the team could have cored
Answers
The least number of point the team could have scored is the LCM of the factors given = 60.
Factor 1 = 3
Factor 2 = 4
Factor 3 = 5
therefore, LCM
= 4 * 5 * 3 [because they don't have any factors in common]
= 60
The positive integers that can divide a number evenly are referred to as factors. Let's say we multiply two numbers to produce a result. The product's factors are the number that is multiplied.
Each number has a self-referential element. There are several examples of factors in everyday life, such putting candies in a box, arranging numbers in a certain pattern, giving chocolates to kids, etc. We must apply the multiplication or division method in order to determine a number's factors.
To learn more about LCM
https://brainly.com/question/20739723
#SPJ4
write the following algebraically using x as unknown
"i think of a number , take away 1 and multiply the result by 3
Answers
Answer: 3(x-1)
Step-by-step explanation:
3 (x-1)
Please help with this question. Giving brainliest
Answers
Answer:
m∠1 = (180 - 110)° = 70°
m∠2 = (180 - 115)° = 65°
m∠3 = 115°
m∠4 = m∠2 = 65°
m∠5 = (180 - (65 + m∠1))° = 45°
m∠6 = m∠5 = 45°
m∠7 = m∠6 = 45°
Clare vwas solving an equation, but when she checked her answer she saw her solution was incorrect. She knows she made a mistake, but she can't find it. Where is Clare's mistake and what is the solution to the equation? 12(5 + 2y) = 4y- (5-9y) 72 + 24y = 4y -5-9y 72 + 24y = -5y -5 24y = -5y - 77 29y = -77 -77 y29
Answers
Clare's mistake is at the second step and the solution to the equation is -65/11.
What is the distributive property of multiplication?In Mathematics, the distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.
Based on the information provided above, we can logically deduce that Clare's mistake is at the second step because the product of 12 and 5 is equal to 60, rather than 72. Additionally, Clare did not distribute the negative sign to all the terms of the equation.
By applying the distributive property of multiplication to the given mathematical expression, we have the following:
12(5 + 2y) = 4y - (5 - 9y)
60 + 24y = 4y - 5 + 9y
60 + 24y = 13y - 5
24y - 13y = -5 - 60
11y = -65
y = -65/11
Read more on distributive property here; brainly.com/question/24014491
#SPJ1
Translate TYMQ using the rule (x,y)-----> (x-1, y-3)
(PLEASE HELP!)
Answers
answer:
see explanation.
step-by-step explanation:
for all the x values, subtract 1 and for all y values, subtract 3. the end result should be more left and more down than the original shape. hope that helps!
Answer:
t-(-1,-3) y-(-4,1) m-(-4,-3) q-(-3,-3)
Step-by-step explanation:
becuaes you subtrace on on each xvariable and you subtracte 3 on every y varibale
A jar of coins contains six times as many quarters as dimes if the totalamount of money is 28.80 how many quarters and dimes are in the jar
Answers
There are total amount of 108 quarters and 18 dimes in a jar.
What is total?Total refers to a whole or full amount, and the verb "to total" means to combine two numbers or to destroy anything. In mathematics, you add integers to get the total; the outcome is the total. The result of adding 8 and 8 is 16.
There are six times more quarters than dimes in a jar of coins.
If x represents the dimes, then the number of quarters will be 6*x if there are 28.80 in total.
A dime is worth 10 cents. In terms of money, we have 10 times as many dime.
A quarter is equal to 25 cents. We have 6 times as many quarters, which is 150 times (6 x 25).
10x +150x = 28.80
160x = 28.80
x = 0.18 that is for coins it will be 10x
10*0.18
18 dimes
similarly
6 times dimes is equal to quarters that is 6*18
108 quarters are there.
To know more about total click the link:
brainly.com/question/18559228
#SPJ1
HELP PLS
Graph -8x - y = 8.
Answers
Answer:
Step-by-step explanation:
The graph of y = 8 is a horizontal line through 8, on the y-axis
The ratio of apples and oranges in the fruit bowl is 4:6. If there are 18 apples, how many oranges are there?
Answers
Answer:
27
Step-by-step explanation:
There are 27 oranges :)
Answer: 27 oranges.
Step-by-step explanation:
5 * 5 = 2020 divided by 1 = 20 If there are 5 apples with an apple: orange ratio of 4.6 there are 27 oranges.
simplify: cube root of m 1/2 × n -1/3 / m -5/2 × n 8/3
Answers
Answer:
[tex]\frac{3m^{2}n-2-40nm }{6m}[/tex]
Step-by-step explanation:
Find the slope of the line.
Answers
Answer: -2
Step-by-step explanation:
Slope is rise/ run or y2 - y1 / x2 - x1
We see that y goes down by 6, and x go over by 3
So slope is -6/3 = -2
Gage bought 5 pairs of running shoes for $49 each.
He raised the price and sold the shoes for $65 each.
How much total profit did he make by selling all
five pairs of running shoes?
Answers
Answer:
$80
Step-by-step explanation:
His buying cost for 1 pair of shoes: $49
His selling price for 1 pair of shoes: $65
His profit on selling 1 pair of shoes: $65 - $49 = $16
His profit on selling 5 pairs of shoes: 5 × $16 = $80
The equation and the table show the cost,y, for different sports programs as functions of the number of classes, x.
Answers
Based on the table and equation given:Gymnastics is less expensive when the classes is 1.Ice-skating is less expensive when the classes is 3 or 4.
How to Apply Equations and Tables?Given that y represents the cost, and x represents the number of classes, to complete the statements, the table is given for Gymnastics while the equation, y = 18x + 20 is given for Ice-skating program.Since the table already shows the cost for each specific number of classes for Gymnastics, find that of Ice-skating program for 1, 2, 3, and 4 classes.For 1 class, substitute x = 1 into y = 18x + 20:
y = 18(1) + 20
y = $38
For 2 class, substitute x = 2 into y = 18x + 20:
y = 18(2) + 20
y = $56
For 3 class, substitute x = 3 into y = 18x + 20:
y = 18(3) + 20
y = $74
For 4 class, substitute x = 4 into the equation y = 18x + 20:
y = 18(4) + 20
y = $92
From the above, we can conclude that, Gymnastics is less expensive when the classes is 1.
Ice-skating is less expensive when the classes is 3 or 4.
To learn more equation refer
https://brainly.com/question/29711868
#SPJ1
451 dived by 51
HELP!
I need to subtract!!!
Answers
After dividing 451 by 51, we get a quotient of 008 and a remainder of 43.
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.
The other operations are multiplication, addition, and subtraction.
On a fundamental level, counting the instances in which one number is included within another is one interpretation of the division of two natural numbers.
It's not necessary for this number to be an integer.
For instance, if 20 apples are distributed equally among 4 persons, each person will get 5 of them.
So, we have 451/51.
Now calculate as follows:
451/51
Quotient = 008
Remainder = 43
(Refer to the image attached below)
Therefore, after dividing 451 by 51, we get a quotient of 008 and a remainder of 43.
Know more about division here:
https://brainly.com/question/25289437
#SPJ1
pls help
law of sines and cosines
Answers
Answer:
1. 29 2. 35
Step-by-step explanation:
check the attached file
what is the hypotenuse???
Answers
To find the answer to this problem, you will need to use the Pythagorean Theorem.
What is the Pythagorean Theorem?
The Pythagorean Theorem is an equation that represents the summation of the sides of a right triangle.
a² + b² = c², where a is the shortest leg of the triangle, b is the longest leg and c is the hypothenuse.
You have been given a (12) and b (16)
First, plug your given information into the equation: 12² + 16² = c²
Next, simplify your equation by squaring both terms:
12² = 144
16² = 256
Then, add these two answers together: 144+ 256= 400
This leaves you with the equation: 400 = c²
To isolate the c as an individual term, take the square root of both sides:
[tex]\sqrt{400} = \sqrt{c^{2} }[/tex]
The above equation leaves you with the answer 20 = c, which is the hypothenuse
Please help I'm stuck!
Answers
Answer:
For this question, you would have to subtract
1.679-1.439 = 0.24 Melvin pays 0.24 cents less. (not that much honestly lol!!)
Factor 2x^2 - 4x - 30 completely.
Answers
Answer: 2(x-5)(x+3)
Step-by-step explanation:
(x+3)(2x-10)
2(x-5)(x+3)
someone help asap please
Answers
The gradient of this straight line through the points is 0.16.
The gradient of this lines simply means that it would require one (1) unit to use £0.16 worth of electricity.
How to calculate the gradient of a line?Mathematically, the gradient of a straight line can be calculated by using this formula;
Gradient, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Gradient, m = (y₂ - y₁)/(x₂ - x₁)
From the information provided through this graph, we have the following data points:
Points on x-axis = (30, 100).
Points on y-axis = (4, 15).
Substituting the given points into the formula, we have the following;
Gradient, m = (15 - 4)/(100 - 30)
Gradient, m = 11/70
Gradient, m = 0.16
This ultimately implies that, £0.16 worth of electricity would require one (1) units to be used by David.
Read more on gradient here: https://brainly.com/question/19544518
#SPJ1
mrs. smith told her students that anyone who scores over 90% on the test will get an extra 30 minutes of recess. which group contingency is this?
Answers
Mrs. smith told her students that anyone who scores over 90% on the test will get an extra 30 minutes of recess: Among the group contingency this is an independent group,
What is group contingency?A particular kind of contingency known as a group contingency (GC) takes use of peer influence by using group reinforcement.
The instructor may use a group contingency to praise an entire class or a smaller subset of pupils for finishing assignments, exhibiting good classroom behavior, or engaging in other desired behavior. Multiple kids' problematic behaviors can be addressed at once using group contingencies.
Dependent, independent, and interdependent group contingencies are the three different types.
To know more about group contingency refer to:
https://brainly.com/question/6073216
#SPJ4
The complete question is as follows:
Mrs. Smith implemented a procedure where she exclaimed that if any student scored over 90% on the test, they would get an extra 30 minutes of recess. Which group contingency is this?
a. Token economy
b. Dependent group contingency
c. Interdependent group contingency
d. Independent group
I need help on this equation i know the answer is (4,6) i dont know were to put the points in the graph i also need help explaing hw i got the answer because i am not sure how
Answers
Answer:
Step-by-step explanation:
Help me with is ixl please
Answers
Answer:
∠EGC
Step-by-step explanation:
Just like for the other problem, you're looking for an angle that's opposite the one you're given and is the same size as the one you're given (meaning they're congruent). If you use you hands to cover the parts of the line AD, you can see how ∠FGB and ∠EGC are opposite of each other and are congruent..
PLEASE HELP!! if QN bisects
Answers
Answer:7
Step-by-step explanation:
log: (x) + log3(2x - 1) = log3 (6)
Answers
The solution of the logarithmic expression is 2x² - x - 6 = 0.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is log(x) + log3(2x - 1) = log3 (6). The expression will be solved as below,
log(x) + log3(2x - 1) = log3 (6)
log ( 3x (2x-1) = log18
3x ( 2x - 1 ) = 18
x ( 2x - 1 ) = 6
2x² - x = 6
2x² - x - 6 = 0
To know more about an expression follow
https://brainly.com/question/20473168
#SPJ1
What is the difference between a formal and informal proof? (Please give explanations)
A) A formal proof uses a table or a list of steps, whereas an informal proof uses paragraphs.
B) A formal proof provides the reasons for steps, whereas an informal proof does not.
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.
Answers
The difference between a formal and informal proof in arithmetics is that a formal proof uses equations, whereas an informal proof only uses text. That is option D.
What is formal and informal proof?A formal proof is defined as the concept used in arithmetics to show that the final answer to an expression obeys a particular rule of an equation or formula.
An informal proof is defined as the concept that shows the answer to a mathematical expression without the use of formula or derived equation.
Therefore, the difference between the formal and informal proof is that a formal proof uses equations, whereas an informal proof only uses text.
Learn more about formula here:
https://brainly.com/question/29797709
#SPJ1
Point M is on line segment \overline{LN}
LN
. Given LN=4x,LN=4x, MN=x,MN=x, and LM=3,LM=3, determine the numerical length of \overline{LN}.
LN
.
Answers
LN = 4 units, the numerical length of \overline{LN}.
What is Equation?A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, etc.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.
According to our question-
M being on LN, then
LN equals LM plus MN, therefore
4x = 3 + x ( remove x from both sides ) ( subtract x from both sides )
3x Equals 3 ( divide both sides by 3 ) ( divide both sides by 3 )
x = 1
Then
LN = 3 + x = 3 + 1 = 4
Hence, LN = 4 units, the numerical length of \overline{LN}.
learn more about equations click here:
brainly.com/question/2972832
#SPJ1
Find the slope of the line that passes through (10, 10) and (3, 2).
Answers
Answer: m=8/7
Step-by-step explanation:
use this formula m=y2-y1/x2-x1
Apply the Multiplication Property of Equality to write an equation equivalent to 7n = 28
due today lol
Answers
The equivalent equation is when n is equal to 4.
What is Multiplication Property of Equality?According to the multiplication property of equality, when we multiply both sides of an equation with the same number, the two sides remain equal.When we multiply either sides of an equation by the same number, the two sides remain equal, according to the multiplication property of equality. That is, if a, b, and c are all real numbers and a = b, thenaxc = bxc.
The four equality properties of addition, subtraction, multiplication, and division can be used to solve an equation. We simply add, subtract, multiply, or divide both sides of an equation to find the value of an unknown variable.Here given equation,
7n = 28
Multiply both sides of equation by 1/7
7n x 1/7 = 28 x 1/7
7n / 7 = 28 / 7
n = 28 / 7
n = 4
So the equation equivalent to 7n = 28 is n = 4.
To learn more about equations refer to :
https://brainly.com/question/2972832
#SPJ1
in a probability experiment, eric flipped a coin 36 times. the coin landed on heads 24 times. what is the ratio of heads to tails in this experiment?
Answers
The ratio of heads to tails in the probability test is 2:1 or (D) 2/1.
What is the ratio?A ratio is a relationship or comparison between two numbers belonging to the same unit in order to determine how much larger one number is than the other.
For instance, if a test result is 7 out of 10, the ratio of the number of points earned to the total number of points is 7:10.
So, we know that the coin is flipped 36 times in the probability test:
Head = 24
Tails = 36 - 24 = 12
The ratio of heads to Tails:
Heads:Tails
24:12
24/12
2/1
2:1
Therefore, the ratio of heads to tails in the probability test is 2:1 or (D) 2/1.
Know more about the ratio here:
https://brainly.com/question/28896354
#SPJ4
Complete question:
In a probability, experiment Eric flip a coin 36 times. The coin landed on the head 24 times. What is the ratio of heads to tails in this experiment?
A.3/2
B.1/2
C.2/3
D.2/1