Construct an isosceles triangle ABC in which AB=AC = 9 cm and BÂC = 45°. Measure ABC and BC
Answers
Answer:
m∠ABC = 67.5°BC = =6.888301782572 cmStep-by-step explanation:
ABC is an isosceles triangle
Then
m∠ABC = m∠ACB
The sum of the interior angles of a triangle is equal to 180°
Then
m∠ABC + m∠ACB + m∠BAC = 180°
Then
m∠ABC + m∠ACB + 45 = 180°
Then
2 × m∠ABC = 180°
Then
m∠ABC = (180−45)÷ 2 = 67.5°
Law of SIN :
[tex]\frac{9}{\sin \left( 67.5\right) } =\frac{BC}{\sin \left( 45\right) }[/tex]
[tex]BC=\frac{9}{\sin \left( 67.5\right) } \times \sin \left( 45\right) ==6.888301782572[/tex]
Related Questions
a pentagon with sides 3 4 5 6 and 7 has area 48m. find the perimeter of a similar pentagon whose area is 27m
i give brainliest to first answer
Answers
Answer & step-by-step explanation:
Please see image attached below:
19.8 rounded to 20m
Step-by-step explanation:
reason;
Area=1/2 x perimeter x apothem
27=1/2 x p x 2.726
Divide both sides by 1/2
54= p x 2.726
Now divide both sides by 2.726 to isolate p
Answer p=19.8
Brainly for the one who help me
Answers
Answer:
the 3rd choice
Step-by-step explanation:
What's the distance between (0,2) and (0,8)?
Answers
Answer:
6 units
Step-by-step explanation:
The distance between two points can be calculated with the formula
[tex]\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]
However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.
Distance between (0, 2) and (0, 8)
= 8 -2
= 6 units
The question is attached.
Answers
Answer:
A
Step-by-step explanation:
Please see attached, I have colour coded for your convenience
help will mark Brainliest
Answers
Answer:
Your answer is B.
Step-by-step explanation:
n>0 means n is greater than 0.
It is an open circle that is pointing to the right for positive values greater than 0.
Answer:Try B.
Step-by-step explanation:
Help plsss! I have no clue how to do this
Answers
Answer:
4
Step-by-step explanation:
Finding the mean :
105 + 106 + 120 + 111 + 109 + 104 + 110 + 115 / 8880/8110Absolute Mean Deviation of each term :
|110 - 105| = 5|110 - 106| = 4|120 - 110| = 10|111 - 110| = 1|110 - 109| = 1|110 - 104| = 6|110 - 110| = 0|115 - 110| = 5M.A.D. = 5 + 4 + 10 + 1 + 1 + 6 + 0 + 5 / 8
32/84Choose all the factors of 12. (Check all that apply.) multiple choice
10
9
2
6
3
8
5
12
7
11
4
1
Please help
Answers
Answer:
Hey!!!!
the answers are 2, 6, 3, 12, 4, 1
Please read the explanation... it always helps..
Step-by-step explanation:
Alrighty... let's begin....
A factor is any number that you can multiply by another number to get a product
So choose the numbers you can mutiply by another number to get twelve... which are... 2, 6, 3, 12, 4, 1
if you are wondering why twelve well... 12 x 1 = 12
i hope this helps!!!!
WILL MARK BRAINLIEST The amount (A) that principal (P) will be worth after t years at interest rate (r) compounded annually is
A = P(1 + r)
t
Suppose $6,000 is invested at 5.5% and yields a total of $7,255. How many years was it invested?
Answers
Put in the formula
[tex]\\ \rm\Rrightarrow A=P(1+r)^t[/tex]
[tex]\\ \rm\Rrightarrow 7255=6000(1+0.055)^t[/tex]
[tex]\\ \rm\Rrightarrow 1.20917=(1.055)^t[/tex]
[tex]\\ \rm\Rrightarrow ln1.20917=tln1.055[/tex]
[tex]\\ \rm\Rrightarrow t=\dfrac{ln1.20917}{ln1.055}[/tex]
[tex]\\ \rm\Rrightarrow t=3.5years[/tex]
Answer:
4 years (nearest year) or
3.5 years (nearest tenth) or
3 years, 6 months and 17 days (most accurate)
Step-by-step explanation:
Annual Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
A = $7,255P = $6,000r = 5.5% = 0.055Substitute the given values into the formula and solve for t:
[tex]\implies \sf 7255=6000(1+0.055)^t[/tex]
[tex]\implies \sf 7255=6000(1.055)^t[/tex]
[tex]\implies \sf \dfrac{7255}{6000}=(1.055)^t[/tex]
Take natural logs of both sides:
[tex]\implies \sf \ln \left(\dfrac{7255}{6000}\right)= \ln (1.055)^t[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\implies \sf \ln \left(\dfrac{7255}{6000}\right)= t\ln (1.055)[/tex]
[tex]\implies \sf t=\dfrac{\ln \left(\dfrac{7255}{6000}\right)}{\ln (1.055)}[/tex]
[tex]\sf \implies t=3.547416819...[/tex]
Therefore, the number of years the principal was invested is:
4 years (nearest year)3.5 years (nearest tenth)3 years, 6 months and 17 daysLearn more about compound interest here:
https://brainly.com/question/27806277
https://brainly.com/question/27747709
Is this function linear or exponential?
x y
0
–
5
1
–
10
2
–
20
3
–
40
4
–
80
Answers
The function represented by the table of values is an exponential function
How to determine the function type?The table is given as:
x 0 1 2 3 4
y 5 10 20 40 80
On the table, we have the following highlights:
As x increases by 1y multiplies by 2This means that the function has a common ratio
Only exponential functions have a common ratio
Hence, the function is an exponential function
Read more about exponential function at:
https://brainly.com/question/11464095
#SPJ1
Determine whether the equation is true or false
Answers
Answer:
its is true just keep practicing applying urself love<33
convert from decimal to fraction(
all steps) 0.36
[tex]0.36[/tex]
Answers
Answer:
this gives 36/100 that is the fraction for the decimal
Answer:
9/25
Step-by-step explanation:
Step 1. Multiply by 100 :
0.36 × 10036Step 2. Divide by 100 and leave in fractional form :
36/100Step 3. Simplify by dividing throughout 4 :
(36/4)/(100/4)9/25DUE BEFORE 11 PM
USING THE LAW OF SINES SOLVE
Answers
Answer:
I round it to the whole number and degree.
<A = 33°
<C = 97°
C = 63
Step-by-step explanation:
Law of Sine: [tex]\frac{sinA}{A} =\frac{sinB}{B}= \frac{sin C}{C}[/tex]
[tex]\frac{sin(A)}{A} =\frac{sin(B)}{B}\\\frac{sin(A)}{104} =\frac{sin(50)}{49} \\\\sin(A)=\frac{104*sin(50)}{49}[/tex]
A = sin^-1 (104*sin(50)/49)
A = 33°
180° - <B - <A = <C
180° - 50° - 33° = 97°
[tex]\frac{sin(B)}{B}=\frac{sin(C)}{C} \\\\C =\frac{Bsin(C)}{sin(B)}\\\\C=\frac{104sin(97)}{sin(50)}\\\\C = 63[/tex]
A survey of 100 students was taken. It was found that 60 students watched sports, and 34 of these
students did not like pop music. or the students who did not water sports, 70% liked pop music.
Complete the two-way frequency table.
Answers
Answer:
[tex]\left[\begin{array}{ccc}38&28&66\\22&12&34\\60&40&100\end{array}\right][/tex]
Step-by-step explanation:
70% of 40 is 28, with that number you can obtain the other data.
What I got is in the image below.
I got the rest of the numbers by subtracting and adding. I also managed to find the 70% by multiplying 40 (I subtracted 60 and 100 to get the total number of people who don't watch sports) by 0.7, getting that 28 of people who don't watch sports liked pop music. From there, getting the rest of the numbers is just a whole lot of adding and subtracting. I subtracted 60 and 34 to get the number of people who watch sports and like pop, which is 26. I also added 26 and 28 to get the total of people who like pop, which is 56. To get 46 for total number of people who don't like pop, I subtracted 40 and 28 which equals 12 (number of people who don't watch sports but don't like pop), then added 34 + 12 to get 46.
Find the remainder when 2x^3-5x^2+x-3 is divided by (x-1)
Answers
Answer:
-7.
Step-by-step explanation:
Using the Remainder Theorem :
If f(x) is divided by x-1 then the remainder is f(1), so
The required remainder
= f(1) = 2(1)^3 - 5(1)^2 + (-1) - 3
= 2 - 5 - 1 - 3
= -7.
Answer:
remainder = -5
Step-by-step explanation:
Divide using long division:
[tex]\large \begin{array}{r}2x^2-3x-2\phantom{)}\\x-1{\overline{\smash{\big)}\,2x^3-5x^2+x-3\phantom{)}}}\\\underline{-~\phantom{(}(2x^3-2x^2)\phantom{-b))))))}}\\0-3x^2+x-3\phantom{)}\\ \underline{-~\phantom{()}(-3x^2+3x)\phantom{-b}}\\ 0-2x-3\phantom{)}\\\underline{-~\phantom{()}(-2x+2)}\\ -5\end{array}[/tex]
i want to know this factorization
Answers
32 - (8b^4)^-1 = (1/2)(64 - (4b^4)^-1) = (1/2)(8 + (2b^2)^-1)(8 - (2b^2)^-1)
Or even
32 - (8b^4)^-1 = (1/8)(256 - b^-4) = (1/8)(16 + b^-2)(16 - b^-2)
Both use the difference of two squares ie a^2 - b^2 = (a + b)(a - b)
what valur of x makes the equation below true? 9^5 * 9^7=9^x
Answers
Answer:
x=12
Step-by-step explanation:
(9^5)(9^7)=9^x
282429536481=9^x
Step 1: Flip the equation.
9^x=282429536481
Step 2: Solve Exponent.
9^x=282429536481
log(9^x)=log(282429536481)(Take log of both sides)
x*(log(9))=log(282429536481)
x=log(282429536481)/log(9)
x=12
Simplify each expression. Write your answer as a complex number.
4i+(2+8i)
(2-7i) - (5-3i)
(5-4i)+(2-7i)
(-3-4i) - (-3+5i
Answers
Answer:
1. 2 + 12i
2. -3 - 4i
3. 7 - 11i
4. -9i
Step-by-step explanation:
just add and subtract like 'i' is a variable and make sure the answer is in the form a+bi
The Smith family bought 25 raffle tickets
for a drawing sponsored by the Boys'
Club. If 1000 tickets were sold, which
fraction represents the Smiths' chance of
winning?
(1)
975
1
1
(2) 25
(
(3)
1
40
(4)
1
400
(5) 975
5
Answers
Answer:1/40
Step-by-step explanation: If the Smiths bought 25 raffle tickets, and there were 1000 sold in total, it would mean they have a 25/1000 chance. we can simplify 25/1000 into 1/40. Therefore, the answer is (3)
3.1 How will ensure that cooperative learning In Mathematics class take place
3.2 use polya's four steps to solve the following tutorial showing all the steps:
Explain each step using the given question.
3.2.1 The sum of three consecutive numbers is equal to 39. Determine the three numbers
3.2.2 A father is five times as old as his daughter. In five years' time he will be three times as old as his daughter. Find both the ages now.
Answers
Step-by-step explanation:
The father is presently 25 years old.
And his daughter is presently 5 years old.
Therefore, the father is 5 times older than his so. Currently.
In 5 years, the father will be 30 years old and the son will be 10 years old. So the father will be 3 times the daughters age.
Which of the following isn't equivalent to -1.2 + 6?
A. 6 - 1.2
B. -2 (0.6 - 3)
C. (-2.4 + 12) / 2
D. -1 (1.2 + 6)
E. I don't know.
Answers
what is 2 90/100 in decimal form
Answers
Answer:
2 90/100 in decimal form would be 2.9.
Jesse earns 9 each time he washes a car. He wants to buy a game that costs 30 How many cars does, Jesse need to wash to earn enough money to buy the game?
Answers
Answer:
Jesse would need to wash four cars.
Step-by-step explanation:
9 times 4 is 36, so Jesse would need to wash 4 cars, and if he washed only 3 cars, you would do 9 times 3 which would get you to 27, which is too little for the game he wishes to buy.
is (x-2) a factor of f(x)=x^3 -8x^2+14x-4?
Answers
Answer:
Yes
Step-by-step explanation:
Use synthetic division
2 | 1 -8 14 -4
____2 -12_4__
1 -6 2 | 0
Thus, [tex](x^3-8x^2+14x-4)\div(x-2)=x^2-6x+2\:\text{R}0[/tex], so [tex](x-2)[/tex] is indeed a factor of f(x) since there's no remainder.
Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6. 7 x (5 − 2) + 6
5 + 2 x 7 + 6
7 x (5 + 2) − 6
6 − 2 + (7 x 5)
Answers
Answer:
7(5-2)+6
Step-by-step explanation:
difference - subtraction
putting the 7 next to it means that it will multiply times that first
Solve for x. Show all work.
Answers
Answer:
x = 10.
Step-by-step explanation:
By similar triangles:
3x - 5 / (3x - 5 +10) = 20 / 28
3x-5 / 3x+5 = 5/7
7(3x - 5) = 5(3x + 5)
21x - 35 = 15x + 25
6x = 60
x = 10.
Answer:
x= 10
Step-by-step explanation:
By similar triangles:
3x - 5 / (3x - 5 +10) = 20 / 28
3x-5 / 3x+5 = 5/7
7(3x - 5) = 5(3x + 5)
21x - 35 = 15x + 25
6x = 60
x = 10.
Which statement is logically equivalent to the following statement: “If it is raining, I will stay home from the concert”?
If I do not stay home from the concert, then it is not raining.
If it is not raining, I will not stay home from the concert.
If it is raining, I will not stay home from the concert.
If I stay home from the concert, then it is raining.
PLS help
Answers
Answer:
It’s If I do not stay home from the concert then it is not raining.
Step-by-step explanation:
it’s the answer that I have because in the question it’s asking what is the same but I guess opposite. Which is why I chose the first answer as my answer since if it’s not raining then they would go to the concert.
What is the slop of a line that passes through the points (-3,2) and (-6,5)
Answers
Slope is : -1
Given point are (-3,2) and (-6,5)
The formula is m = Y2-Y1/X2-X1
=> m = 5-2/-6+3
=> m = 3/-3
=> m = -1
Hence the slope is -1.
Help me please , you can ignore question number 1 !!!
Answers
Answer:
See below ~
Step-by-step explanation:
Q2
Lobster = 3 veg choices x 3 beverages9 outcomesQ3
Chicken and chopsuey = 3 beverages3 outcomesQ4
4 main dishes x 3 veg choices x 4 beverages48 menusI’m just stuck
Please help
Answers
Answer:
y = 5x
Step-by-step explanation:
y = 5x
Where, y = amount of money library receives and x = number of books sold.
So if 1 book is sold, y = 5 (1) = 5, which means y =5 (this matches answer on row 1 which says 1 book sold makes 5 bucks.)
What percent of 17 is 3?
Answers
Answer: 3 is 17.6471% of 17
Step-by-step explanation: