Answer:
13 miles
Step-by-step explanation:
the distance from the soccer field to the library is 8 miles
the distance between home and soccer field is a hypotenuse, use Pythagorean theorem to find the distance.
[tex]a^2+b^2=c^2\\\\4^2+3^2=c^2\\\\16+9=c^2\\\\c^2=25\\\\c=5[/tex]
the distance is 5 miles
5 + 8 = 13 miles total
I need help fast with the first question in the page which is the find algebraically in R
Answer:
2x²+5x-6 = 0
using the quadratic formula
x = 0.886 and x= -3.386
Write and solve the equation for the following situation:
Angles 1 and 2 are complementary. The measure of angle 1 is 16° larger than the measure of angle 2.
A.) x + 16 = 90
B.) x + (x + 16) = 90
C.) 2x + 16 = 90 (NOT CORRECT)
D.) x + 16 = 180
WILL GIVE BRAINLIST
Answer:
B.) x + (x + 16) = 90
2x+16=90
2x=90-16
x=74/2
x=37
Evaluate a + 4 when a =87
Answer:
81
Step-by-step explanation:
a+4
Let a = 87
87+4
81
The area of a rectangle is represented by x2 + 2x - 3. The width of the rectangle is x - 1. What is the length of the rectangle?
A. X+3
B. x-3
c. x+4
D.X-2
Answer:
Option A. x + 3
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = x² + 2x – 3
Width (W) = x – 1
Lenght (L) =?
The area of a rectangle is given by:
Area (A) = length (L) × Width (W)
A = L × W
With the above formula, we can obtain the lenght of the rectangle as follow:
Area (A) = x² + 2x – 3
Width (W) = x – 1
Lenght (L) =?
A = L × W
(x² + 2x – 3) = L(x – 1)
Divide both side by (x – 1)
L = (x² + 2x – 3) / (x – 1)
Please see attached photo for explanation
L = x + 3
Thus, the length of the rectangle is x + 3
Easy question please answer mark you brainliest
1. find the area of the circle
Answer:
The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.
Answer:
area of a circle=200.96a^12
Step-by-step explanation:
area of circle=πr^2
=3.14*([tex]8a^{6}[/tex])^2
=3.14*64a^12
=200.96a^12
The question is in the pic.
Answer:
$100
$120 in and $20 out
Step-by-step explanation:
Answer:
the answer is $100
because if the bank is loosing 2% they are having to pay $20 bc 0.02 x 1,000= 20, and they are earning 12% they getting 120 bc 0.12 x 1,000 = 120, and 120-20= $100. you have to subtract the $20 because that is what the bank is paying, so it's losing money
Find the area of PQRS. (Hint: Use the Pythagorean Theorem to find the height .)
Need help quick someone help!
Which of the following conditions are sufficient to show that the two polygons are congruent?
A. Slopesc = Slopen and slopezo = slopeo
B. The lengths of all corresponding sides are equal: AB = LM, BC = MN, CD = NO, AD = LO.
C. None. The polygons cannot be congruent because they have different orientations.
D. The rise and run of the translation between each pair of corresponding points are the same.
Answer:
(B) Two number is the answer of your question.
The triangle inequality
in a survey of 100 cars,47 were white,23 were blue and 30 were red.express each of these numbers as a percentage of the total.
Answer:
white- 47% Blue-23% Red- 30%
Step-by-step explanation:
White cars- (47/100)*100= 47%
Blue cars- (23/100)*100=23%
Red cars- (30/100)*100=30%
Can someone help me?
B. [tex] \sqrt{x} + \sqrt{x - 1} [/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{1}{ \sqrt{x} - \sqrt{x - 1} } \\ \\= \frac{1}{ \sqrt{x} - \sqrt{x - 1} } \times \frac{ \sqrt{x} + \sqrt{x - 1} }{ \sqrt{x} + \sqrt{x - 1} } \\ \\ = \frac{ \sqrt{x} + \sqrt{x - 1} }{ ({ \sqrt{x} })^{2} - { (\sqrt{x - 1} })^{2} } \\\\ [∵(a + b)(a - b) = {a}^{2} - {b}^{2} ] \\ \\= \frac{ \sqrt{x} + \sqrt{x - 1} }{x - (x - 1)} \\ \\= \frac{ \sqrt{x} + \sqrt{x - 1} }{ x - x + 1} \\ \\= \sqrt{x} + \sqrt{x - 1} [/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
En un sistema masa resorte (masa atada a un muelle) ¿en qué punto la masa alcanza su máxima velocidad?
Answer:
yo just search up Spanish translator
Need help please!! :)
Answer:
[tex]A: (-3,1)[/tex]
[tex]B:(-1,-1)[/tex]
[tex]d=\sqrt{(-3-(-1)^{2} +(-1(-1))^{2} }[/tex]
[tex]=\sqrt{(-2)^{2}+(2)^{2} }[/tex]
[tex]=\sqrt{4+4}=\sqrt{8}[/tex]
[tex]=2\sqrt{2} =2.8[/tex]
---------------------
hope it helps..
have a great day sis ^_^!!!
Answer:
Coordinates of :-
A= (-3,1)
B= (-1,-1)
Distance AB= [tex]\sqrt{-2+3)^{2}+(-1-1)^{2} }[/tex]
[tex]\sqrt{(2)^{2} +(-2)^{2} }[/tex][tex]=\sqrt{4+4}[/tex][tex]=\sqrt{8}[/tex][tex]=2.8[/tex]OAmalOHopeO
2. The direct distance between city A and city B is 200 miles. The direct distance
between city B and city C is 300 miles. Which could be the direct distance between city
C and city A?
1) 50 miles
2) 350 miles
3) 550 miles
4) 650 miles
Answer:
2
Step-by-step explanation:
Roger just ran 5 laps. He is at 20% of his goal.
How many more laps until he is finished reaching
his goal?
25 laps The Principal never visited the arts section.
4 laps The Principal never visited the bathroom
15 laps The Principal never visited the History section
20 laps The Principal never visited the office or arts
section.
Answer: 20 laps
Step-by-step explanation:
Given
Roger just ran 5 laps and completes 20% of his goal
Suppose his goal is x laps
So, 20% of x must be equal to 5
[tex]\Rightarrow 20\%\times x=5\\\Rightarrow 0.2x=5\\\\\Rightarrow x=\dfrac{5}{0.2}\\\\\Rightarrow x=\dfrac{50}{2}\\\\\Rightarrow x=25\ \text{laps}[/tex]
So, he needs 20 more laps to complete his goal.
Fill in the missing numbers : )
The Missing numbers are :
[tex] \boxed{1.9}[/tex][tex] \boxed{3.4}[/tex]Solution :Each term in the pattern is formed by the successive addition of " 0.5 " in the previous term.
therefore, the sequence will be like :
[tex] \hookrightarrow1.9, \: 2.4, \: 2.9, \: 3.4, \: 3.9, \: 4.4[/tex]
And, missing terms are :
1.9 and 3.4 respectively
[tex] \mathfrak{hope \: it \: helps \: you.....}[/tex]
Pleaseee Helpp. If the radius is 21 m and area of sector of the circle are 27.72 m2, calculate the angle at the centre of the circle.
Given:
Radius of a circle = 21 m
Area of a sector of the circle = 27.72 m²
To find:
The angle at the center of the circle.
Solution:
The area of a second is:
[tex]A=\pi r^2\times \dfrac{\theta}{360^\circ}[/tex]
Where, r is the radius of the circle and [tex]\theta[/tex] is the central angle.
Putting [tex]\pi=\dfrac{22}{7},\ r=21,\ A=27.72[/tex] in the above formula, we get
[tex]27.72=\dfrac{22}{7}\times (21)^2\times \dfrac{\theta}{360^\circ}[/tex]
[tex]27.72=1386\times \dfrac{\theta}{360^\circ}[/tex]
[tex]27.72=3.85^\circ \times \theta[/tex]
[tex]\dfrac{27.72}{3.85^\circ }=\theta[/tex]
[tex]7.2^\circ=\theta[/tex]
Therefore, the central angle of the sector is [tex]7.2^\circ[/tex].
I need help please!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Liz earnings per hour = $ 9.28
Liz earnings for 5.5 hours = 9.28 * 5.5
= $ 51.04
A study found a relationship between the number of sugary drinks consumed by a child each day and the prevalence of Type II diabetes. What is the dependent variable? The prevalence of Type II diabetes the number of sugary drinks consumed by a child during a day both the prevalence of Type II diabetes and the number of sugary drinks consumed by a child during a day there is no dependent variable
Answer:
A. The prevalence of Type II diabetes
Step-by-step explanation:
A. The prevalence of Type II diabetes
B. The number of sugary drinks consumed by a child during a day
C. Both the prevalence of Type II diabetes and the number of sugary drinks consumed by a child during a day
D. There is no dependent variable
The prevalence of Type II diabetes depends on number of sugary drinks consumed by a child each day
If
x = The prevalence of Type II diabetes
y = number of sugary drinks consumed by a child each day
Then,
x depends on y
The dependent variable is The prevalence of Type II diabetes
WHOEVER ANSWERS FIRST WINS BRAINLIEST!
Multiply.
4 1/6 × 5 3/5
Answer and Step-by-step explanation:
Convert the numbers into improper fractions.
[tex]\frac{25}{6} ,\frac{28}{5}[/tex]
Now, multiply the numbers.
[tex]\frac{700}{30}[/tex]
Finally, simplify.
[tex]\frac{70}{3}[/tex] is the answer.
#teamtrees #PAW (Plant And Water)
365.12x =36,512 please help
Answer:
x = 100
Step-by-step explanation:
365.12 x = 36512
36512 / 365.12 = x
x = 100
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A sequence has a second term of 1 and a common difference of -3.
The fifth term of the sequence is _____.
A)-11
B)-8
C)-5
D)10
Answer:
B
Step-by-step explanation:
firstly as we know that,
nth term of an A.P. is n= a1 + (n-1)d
here d is -3 so, A1 = 1-(-3) = 4
so, 5th term = 4 + ( 5-1)( -3) = 4 + 4(-3) = 4 - 12 = -8
so the answer is -8 which is option B.
Hope this answer helps. I got a little help from my tutors on Gauthmath app which is really good. you can check it out too. :)
Analyze the rational function: f(x) = (x^2 - 4)/(x^3 - 3x^2 - 10x)
Answer:
The function [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] has a zero: [tex]x = 2[/tex], and two poles: [tex]x = 0[/tex] and [tex]x = 5[/tex].
Step-by-step explanation:
Let be [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] a rational function armed with polynomial function. We proceed to factor the expression to the find the zeros and poles of the rational function:
1) [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] Given
2) [tex]f(x) = \frac{(x + 2)\cdot (x-2)}{x\cdot (x^{2}-3\cdot x -10)}[/tex] [tex]a^{2} - b^{2} = (a + b)\cdot (a - b)[/tex]/Associative, commutative and distributive properties.
3) [tex]f(x) = \frac{(x+2)\cdot (x-2)}{x\cdot (x-5)\cdot (x+2)}[/tex] [tex]x^{2} -(a+b)\cdot x + a\cdot b = (x-a)\cdot (x-b)[/tex]
4) [tex]f(x) = \frac{x-2}{x\cdot (x-5)}[/tex] Commutative property/Existence of multiplicative inverse/Modulative property/Result
The function [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] has a zero: [tex]x = 2[/tex], and two poles: [tex]x = 0[/tex] and [tex]x = 5[/tex].
What is the constant of proportionality in the equation StartFraction x over y EndFraction StartFraction 2 over 9 EndFraction?
StartFraction 2 over 9 EndFraction
2
StartFraction 9 over 2 EndFraction
9
Given:
The equation is:
[tex]\dfrac{x}{y}=\dfrac{2}{9}[/tex]
To find:
The constant of proportionality.
Solution:
If y is directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
We have,
[tex]\dfrac{x}{y}=\dfrac{2}{9}[/tex]
On cross multiplication, we get
[tex]9x=2y[/tex]
Divide both sides by 2.
[tex]\dfrac{9}{2}x=y[/tex]
Interchange the sides.
[tex]y=\dfrac{9}{2}x[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]k=\dfrac{9}{2}[/tex]
The constant of proportionality is [tex]\dfrac{9}{2}[/tex]. Therefore, the correct option is B.
If a test consists of ten mulitpel choice questions,with each permiting aposible answers.How mmany ways are ther in wvhich a student give his answer?
The question given is incomplete, find the possible version in the comment below.
Answer:
9765625 ways
Step-by-step explanation:
To solve questions of this kind, we can apply the product rule ;
We have 10 different questions, each with 5 alternative options, even though there is only one correct answer, the number of answers that can be chosen (either correct or incorrect) is 5 ;
Therefore, we have 5 possible choices for each question :
Question 1 = 5 ; question 2 = 5,....
This can be written as :
5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 = 5^10 = 9765625 ways
Square A is a scaled version of square B. The dimensions of square A are three times the dimensions of square B. The area of square A is 900 sq cm.
Answer:
The side of square A is 30 cm.
Step-by-step explanation:
Given that,
The dimensions of square A are three times the dimensions of square B.
The area of square A is 900 sq cm.
Side of square A = 3( side of square B)
Let the side of square B is b. So,
Side of square A, a = 3b
We know that, the area of square is side². So,
[tex](3b)^2=900\\\\9b^2=900\\\\b^2=100\\\\b=10\ cm[/tex]
Side of square A, a = 3(10) = 30 cm
Hence, the side of square A is 30 cm.
- Find the equation of the line in slope-intercept form that passes through the points (8,4) and (4,0)
Answer:
y = 1x - 4
Step-by-step explanation:
y2 - y1 / x2 - x1
0 - 4 / 4 - 8
-4 / -4
1
y = 1x + b
0 = 1(4) + b
0 = 4 + b
-4 = b
Answer my question pls
Answer:
the answer is 20
Step-by-step explanation:
5×12 = 60
which means he had 60 points feom hitting the target
60-20=40
therefor he lost 40 points miing the target
40÷2=20
therefor he missed the target 20 times
50 Pts!!!!!!! What is the straight line distance between the points?