Answer:
[tex]b=11, b=17[/tex]
Step-by-step explanation:
To get rid of the parenthesis, distribute:
[tex]b(28-b)=187,\\28b-b^2=187[/tex]
Move all terms to one side and factor:
[tex]b^2-28b+187=0,\\(b-11)(b-17)=0,\\\begin{cases}b-11=0,b=\boxed{11}\\b-17=0,b=\boxed{17}\end{cases}[/tex]
Answer:
b = 11, 17
Step-by-step explanation:
=> (28 - b) × b = 187
=> 28b - b² = 187
subtracting 187 from both sides=> 28b - b² - 187 = 0
dividing the equation by (-1) and rearranging=> b² - 28b + 187 = 0
breaking -28b into 2 variables such that the variable multiply to form 187b²=> b² - 11b- 17b + 187 = 0
{as (-11b)×(-17b) = 187b² and (-11b)+ (-17b) = -28b }
=> b (b - 11) - 17(b - 11) = 0
=> (b- 11)(b - 17) = 0
either(b - 11) = 0
=> b = 11
or(b - 17) = 0
=> b = 17
therfore,
b = 11, 17If you are given a parallelogram with the top right and left corners each measuring 72* and the bottom right corner measuring 108*. What is the measurement of the missing corner, the bottom left corner of the parallelogram?
Answer: [tex]108^{\circ}[/tex]
Step-by-step explanation:
Given
The top left and right corners measures [tex]72^{\circ}[/tex] and the bottom right corner measures [tex]108^{\circ}[/tex].
Suppose the missing corner measures [tex]x[/tex]
So, the sum of the four angles of parallelogram is [tex]360^{\circ}[/tex]
[tex]\therefore x+72^{\circ}+108^{\circ}+72^{\circ}=360^{\circ}\\\Rightarrow x=360^{\circ}-252^{\circ}\\\Rightarrow x=108^{\circ}[/tex]
Therefore, the missing angle is [tex]108^{\circ}[/tex].
A parabola is defined by the equation x2 = 3/4 y. In which direction will the parabola open?
Lisa invested $2500 in a bank account. The account has an annual interest rate of 3.5%. How much money will be in the account after 15 years? Use the formula A(t) = P*e^rt to solve the problem. (round to the nearest hundredth)
Answer:
A = $ 4188.38
Step-by-step explanation:
A= $2500
r = 3.5% = 0.035
t = 15years
n = 1
[tex]A = P(1 + r)^t[/tex]
[tex]= 2500 ( 1 + 0.035)^{15}\\\\= 2500 (1.67535)\\\\= \$ 4188.38[/tex]
What’s the answer????????????
Answer:33
Step-by-step explanation:
trust
Find the mode of the data.
Length (inches) of fish in tank:
2, 3, 1, 4, 5, 2, 2
Mode: [?] in.
Answer:
The mode is 2
Step-by-step explanation:
Mathematically, the mode of a given data set represents the most recurring number or the number with the most count
Looking at the given dataset, we can see that the number 2 recurred 3 times
Compared with the other numbers, it has the most count
this means it is the mode of the given or displayed dataset
Which of the following represents a constant from the expression given?
15x2 + 2x + 9
Answer:
9
Step-by-step explanation:
15x^2 + 2x + 9
A constant does not have a variable with it
15x^2 is the quadratic term
2x is the linear term
9 is a constant term
Answer:
The answer is 9.
someone already explained it lol
I need help I’m stuck
Find the average rate of change (-4,-7)(-2,3)
Which of the following is the area of a triangle pictured below
Answer:
(2) 22.44 cm^2
Step-by-step explanation:
A = bh/2
A = (8.8 cm)(5.1 cm)/2
A = 22.44 cm^2
Answer:
22.44 cm^2
Step-by-step explanation:
8.8 - 7.6 = 1.2
1.2 · 5.1 = 6.12 / 2 = 3.06
7.6 · 5.1 = 38.76 / 2 = 19.38
19.38 + 3.06 = 22.44 cm^2
If the sum of the measures of 21 and 22 is 180°, what is the sum of the measures of 23 and 24?
Answer:
180
Step-by-step explanation:
it is a quadrilateral that has 360 degrees in total. So if 1 and 2=180 then 3 and 4=360-180=180. Hope this is right.....
En un curso, el 40 % de los alumnos reprobó un examen. Si el curso tiene 45 alumnos. ¿Cuántos alumnos aprobaron
Answer:
Cantidad de aprobados= 25
Step-by-step explanation:
Dada la siguiente información:
Reproado= 45%
Aprobado= 55%
Cantidad de alumnos= 45 alumnos
Para calcular la cantidad de aprobados, debemos utiliar la siguiente formula:
Cantidad de aprobados= cantidad de alumnos*porcentaje aprobados
Cantidad de aprobados= 45*0.55
Cantidad de aprobados= 25
examine the matrices below and use to answer questiom 12 and 13
x={3 -5} y= {6 7}
{-4 2} {-4 -3}
number 2 question
calculate x and y
A {9 12}
{0 1}
B {9 -12}
{0 -5}
c {9 -2}
{-8 -1}
D {9 2}
{-8 -1}
Answer:
d
Step-by-step explanation:
Match each expression it to an equivalent expression
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{4^2}{2^2} = 4\\\\(8-4)*4=4^2\\\\2^2 + 2^2 = 8[/tex]
»»————- ★ ————-««
Here’s why:
[tex]\boxed{\text{Simplifying each expression:}}\\\\\frac{4^2}{2^2}\\---------\\\\\\rightarrow \frac{16}{4}\\\\\rightarrow \boxed{4}\\\\ \boxed{\frac{4^2}{2^2}=4}[/tex]
⸻⸻⸻⸻
[tex](8-4) * 4\\-----------\\\rightarrow (4)*4\\\\\rightarrow \boxed{16}\\\\\text{We can also tell...}\\\\4^2 = 4 * 4 = \boxed{16}\\\\\text{So...}\\\\\boxed{(8-4)*4 = 4^2}[/tex]
⸻⸻⸻⸻
[tex]2^2 + 2^2\\--------------\\\rightarrow 4 + 2^2\\\\\rightarrow 4 + 4\\\\\rightarrow \boxed{8}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
PLease help me :( You will get 20 pionts! And i will mark Brainliest!
picture is also included
Question:
Which term describes how the two sides of this figure are related ?
A. Induction
B. Symmetry
C. Scientific method
D. Deduction
Answer:
B. Symmetry
Step-by-step explanation:
They are symmetrical, meaning they are mirrored or both look the same.
Hope this helps! :)
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-1, -7) and (9, 1).
Answer:
y = -5/4 x + 2
Step-by-step explanation:
the slope of line segment : (1+7) /(9+1) = 8/10
= 4/5
the mid point of line segment :
x = (-1+9)/2= 4
y= (-7+1)/2 = -3
the coordinate : (4, -3)
the slope of line perpendicular to line segment
= -1 ÷ 4/5 = -5/4
so the equation :
y+3= -5/4 (x-4)
y+3= -5/4 x +5
y = -5/4 x + 2
if a:b=1:3 and b:c=5:8 what's a:c
need steps pls
Answer:
a:c=1:8
Step-by-step explanation:
a:b=1:3
therefore a=1 and b=3
b:c=5:8
therefore b=5 and c=8
then,
a:c=1:8
Answer:
a : c = 5 : 24
Step-by-step explanation:
[tex]a : b = 1 : 3\\\\\frac{a}{b} = \frac{1}{3} \ => b = 3a\\\\b : c = 5 : 8 \\\\ \frac{b}{c} = \frac{5}{8} \ => \ \frac{3a}{c} = \frac{5}{8}[/tex] [tex][substituting \ b = 3a ][/tex]
[tex]\frac{a}{c} = \frac{5}{24}[/tex]
[tex]=> a : c = 5 : 24[/tex]
Simplify the expression:
5(4x - 2)
i need help
Step-by-step explanation:
5(4× - 2)
5x4=20
5×2=10
Answer = 20x - 10
Answer:
20x-10
Step-by-step explanation:
Simply multiply.
5 × 4X = 20X
5× -2 = -10
Combine both
20X - 10
There are 1,099 souvenir paperweights that need to be packed in boxes. Each box will hold 11 paperweights. How many boxes will be needed?
Answer:
1099/11=99.9
since you can't have 99 boxes, you round to 100 boxes.
you will need 100 boxes.
what is the correct answer
The Answer is:
A. x = 4
in the diagram below P(x:y)is a point in the third quadrant. ROP=B and 17 cos B is equal to -15 calculate the values of x and y and r
you showed no diagram or any picture / screenshot
PLEASE GIVE ME THE PERCENTAGES FOR THIS CHART!
BRAINLIEST REWARD!!
Answer:
Sleeping - 30.2%
School - 17.6%
Homework - 0%
EC - 6.73%
Computer - 13.45%
Phone - 0%
Television - 1.68%
Excercise - 6.73%
Family time - 20.18%
Other - 3.36%
Step-by-step explanation:
hope this helps :)
Answer this wuestion for me man
Answer:
The length of ribbon is [tex]\sqrt{32}[/tex].
Step-by-step explanation:
Length of the side of square = 4 inches
let the length of the diagonal is x.
By use of Pythagorean theorem
[tex]x^2 = 4^2 + 4^2 \\\\x =\sqrt {16 + 16}=\sqrt{32}[/tex]
PLEASE ANSWER I NEED HELP SEE THE ATTACHMENT
Answer:
[tex]p=\frac{50}{360} 2\pi [8cm+(8-9)cm]+2(4.5cm)[/tex][tex]=19.0~cm[/tex]--------------------------
hope it helps...
have a great day!!
if you get 7,676 of something per 0.5 milliseconds how much would you have of that something in 8 hours
Answer:
The answer will be 441907200 not sure
Step-by-step explanation:
David takes out a 20year 70,000 loan from his bank 2010. The quadratic equation that approximates the year/loan balance relationship is y = - 98x ^ 2 - 1, 531x + 69, 71 , where x is the number of years and y is the balance In what year, will his loan balance be $37,2347
Answer:
2022
Step-by-step explanation:
The duration of the loan David takes = 20 year loan
The amount David takes as loan = 70,000
The year David takes the loan = 2010
The year/loan balance relationship is y = -98·x² - 1,531·x + 69,710 (We note that the proper constant for the loan balance should be approximately 70,000, therefore the added zero)
Where;
x = The number of yeas
y = The balance
The year his loan balance will be $37,234.7, is given as follows;
37,234.7 = -98·x² - 1,531·x + 69,710
-98·x² - 1,531·x + 69,710 - 37,234.7 = 0
-98·x² - 1,531·x + 32,475.3 = 0
Factorizing with a graphic calculator, gives;
-98·(x - 11.998)·(x + 27.62) = 0
∴ x = 11.998 ≈ 12 or -27.62
The number of years it takes for the loan balance to be $37,234.7 = 12 years
Given that he took the loan in 2010, the loan balance will be $37,234.7 in 2010 + 12 = 2022
Write the equation of the line in slope-intercept form
Answer:
y = 4/1 + 0
Step-by-step explanation:
we rise 4 units up and move 1 unit to the right
and the y intercept is 0 because its exactly in the center of x and y axis
From 1980 to 1990 the consumer price index increased from 82.4 to 130.7 if a bottle of dish soap cost 0.74 in 1980 and the price of dish soap increased at the same rate as the cpi from 1980 to 1990 by approximately how much did the price of the bottle of dish soap increase from 1980 to 1990
Answer:
$0.43
Step-by-step explanation:
Rate of increase = [(CPI in 1990 / CPI in 1980)^1/t] - 1
(130.7 / 82.4)^1/10
1.586165^0.1 = 1.047213 - 1 = 4.72%
Price of dish soap in 1990 = value in 1980 ( 1 + rate of increase)^10
0.74( 1.047213)^10 = 1.174
Price increase 1.174 - 0.74 = 0.43
HELP WITH 9 AND 10! I really don’t understand how to find these!
Answer:
50 and C
Step-by-step explanation:
Remark.
The geometric mean is the middle number between two numbers that are 2 places apart. It's easier just to make up an example to show what the mean is
4 8 16
8 is the geometric mean of 4 and 16. The first term (4) is multiplied by 2. The third term is derived from 8 (the mean) multiplied by 2
So to solve this problem you need to find what a is multiplied to get get the mean, and multiplied again by the same thing you did before to go from the mean to the third term.
Solution
12 / mean = mean / a Cross multiply
mean^2 = 12*a
But the mean is given as 10sqrt(6)
12a = 100 * 6
12a = 600
a = 50
20 / mean = mean /a
mean^2 = 20 a
mean = 10 sqrt (10)
100 * 10 = 20*a
a = 1000 / 20
a = 50
What is -1.2 repeating as a mixed number
Answer:
[tex]-1\frac{2}{9}[/tex]
Step-by-step explanation:
_
y = - 1.2
_
y × 10 = - 1.2 × 10
_
10y = - 12. 2
_
10y = - 12. 2
- _
y = - 1.2
____________
9x = 11
9x ÷ 9 = 11 ÷ 9
[tex]x = -1\frac{2}{9}[/tex]
_
- 1.2 = - 1 2/9
How do I this math problem? If tan8 theta = cot 7 theta then theta =?
Given:
[tex]\tan 8\theta =\cot 7\theta[/tex]
To find:
The value of [tex]\theta[/tex].
Solution:
We have,
[tex]\tan 8\theta =\cot 7\theta[/tex]
We know that, [tex]\cot \theta =\tan (90^\circ -\theta)[/tex].
Using the trigonometric property, we get
[tex]\tan 8\theta =\tan (90^\circ -7\theta)[/tex]
On comparing both sides, we get
[tex]8\theta =90^\circ -7\theta[/tex]
[tex]8\theta +7\theta=90^\circ [/tex]
[tex]15\theta=90^\circ [/tex]
Divide both sides by 15.
[tex]\theta=\dfrac{90^\circ}{15}[/tex]
[tex]\theta=6^\circ[/tex]
Therefore, the value of [tex]\theta[/tex] is 6 degrees.