Answer:
6.6 yd
Step-by-step explanation:
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
[tex]10^{2}[/tex]+[tex]b^{2}[/tex]=[tex]12^{2}[/tex] Substitute a= 10 and c=12
100+[tex]b^{2}[/tex]=144 Evaluate the Powers
[tex]b^{2}[/tex]=44 Subtract 100 on both sides.
b=[tex]\sqrt{44}[/tex] Square root both sides b>0 so you dont need ⊥
b=6.6 Use a calculator to evaluate.
Two consecutive integers have a sum of 195. Find the integeres
Hey ! there
Answer:
First Integer is 97Second Integer is 98Step-by-step explanation:
The question says that two consecutive Integer have a sum of 195 . And we are asked to find the integers.
For finding integers we are assuming them . So ,
Let the first integer be x .Let the second integer be x + 1 ( This is because in question it's given that they are consecutive integers )Solution : -
According to question ,
First Integer + Second Integer = 195So ,
[tex] \dashrightarrow \qquad \: x + x + 1 = 195[/tex]
Step 1 : Adding like terms ( x and x ) on left side :
[tex] \dashrightarrow \qquad \: 2x + 1 = 195[/tex]
Step 2 : Subtracting 1 on both sides :
[tex] \dashrightarrow \qquad \: 2x + \cancel{1} - \cancel{1} = 195 - 1[/tex]
Simplifying it ,
[tex] \dashrightarrow \qquad \: 2x = 194[/tex]
Step 3 : Dividing with 2 on both sides :
[tex] \dashrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{ 2}} = \cancel{\dfrac{194}{2} }[/tex]
On further calculations , We get :
[tex] \dashrightarrow \qquad \: \purple{\underline{\boxed{\frak{ x = 97}}}} \quad \: \bigstar[/tex]
We know that ,
x = first number✰ Therefore , first number is 97 .
x + 1 = second number97 + 1 98✰ Therefore , second number is 98.
Verifying : -
Now , we are verifying our answer by substituting value of first and second number and equating it with 195 . So ,
97 + 98 = 195195 = 195L.H.S = R.H.SHence , Verified .Therefore , our solution is correct .
#Keep Learning- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Two consecutive integers have a sum of 195. Find the integers
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
The integers are 97 and 98.
[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]
If integers are [tex]\textbf{consecutive,}[/tex] they stand right next to each other.
Example:- 7 and 8. 7 and 8 are consecutive integers because they stand right next to each other.
Now, let the integer be n.
The integer next to n is 1 greater than n, or n+1.
So we set up the following equation:-
[tex]\bigstar{\fbox{n+n+1=195}[/tex]
[tex]\textsf{\underline}}[/tex]Add the n's:-
[tex]\Longrightarrow[/tex] [tex]\sf{2n+1=195}[/tex]
Subtract 1 on both sides:
[tex]\sf{2n=195-1}[/tex]
[tex]\sf{2n=194}[/tex]
Divide by 2 on both sides:-
[tex]\bigstar{\fbox{n=97}[/tex]
Now that we've found the first integer, finding the second integer is easy, because we can subtract the first integer from the sum of both integers:-
195-97=98
So the second integer is 98.
Quick Check:-
97 and 98 are consecutiveThey add up to 195:-97+98=195[tex]\textbf{195=195}[/tex]Since the LHS (left-hand side) equals the RHS (right-hand side), the integers are indeed 97 and 98.Good luck.
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Calculate the portion of each mix that is peanuts, again expressing your answer as a percent. Which recipe has the greatest concentration of peanuts?
Answer:
Recipie A has a higher percentage of chocolate chips and Recipie B has a higher percentage of peanuts.
Step-by-step explanation:
Chocolate Chunks:
Recipie A calls for a total of ten cups. So 3 cups of chocolate chips are used in Recipe A. The percentage of chocolate chips in the mix is given by 3/10, which can be written as 30%. Recipie B now has a total of 20 cups. So in Recipe B 5/20, which can be written in percentages as 25%. Recipe C now has a total of 25 cups. So 6 cups of chocolate chips are used in the recipe. The percentage of chocolate chips in the mix is given by 6/25, which can be written as 24 percent. Recipie A has the highest percentage of chocolate chips of the three recipes.
Peanuts:
Recipie A calls for a total of ten cups. So, according to the recipe, A 2 cups are peanuts. The amount of peanuts in the mixture is given by 2/10, which can be written as a percentage of 20%. Recipie B calls for 20 cups. So there are 7 cups of peanuts in the recipe. The percentage of peanuts in the mix is given by 7/20, which can be written as 35%. Recipie C has a total of 25 cups, so there are 7 cups of peanuts in the recipe. The percentage of peanuts in the mix is given by 7/25, which is equivalent to 28 percent in percentages. The recipie b contains the highest percentage of peanuts of the three.
As a result, Recipie A has a higher percentage of chocolate chips and Recipie B has a higher percentage of peanuts.
Scott and Huong each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Scott spent $91 on 7 daylilies and 1 pot of ivy. Huong spent $105
on 7 daylilies and 3 pots of ivy. What is the cost of one daylily and the cost of one pot of ivy?
Answer:
daylilies - $12; ivy - $7
Step-by-step explanation:
one way to answer this question is by using two equations
first write your let statements
let d be daylilies and let i be ivy
7d + i = 91
7d + 3i = 105
then you can subtract the equations
you get -2i = -14
then divide eveything by -2
i = 7
ivy costs $7
lastly plug this into an equation
7d + 7 = 91
7d = 84
d = 12
daylilies cost $12
4.what is the equation of the line perpendicular to y = 3/4x + 2 and goes
through the point (6, 3)?
a.y = 3/4x + 11
ob.y = 4/3x - 5
o c. y = -3/4x - 5
od. y = -4/3x +11
Find the sum or type "impossible" [3 -8]+[4 -5 -6]
Algebra 2 (On Acellus)
The sum of the given expression will be equal to -12.
What is an Algebra?
Algebra is the study of mathematical symbols and the rules for manipulating them in formulas; it is a common thread that runs through practically all of mathematics.
The solution of the given expression will be:-
= [ 3 - 8 ] + [ 4 - 5 - 6 ]
= [ -5 ] + [ -7 ]
= [ -12 ]
Therefore the sum of the given expression will be equal to -12.
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2)
8q+6=4q-14
What is The answer ?
Answer:
q=-5
Step-by-step explanation:
8q+6=4q-14
Remove q from one side
8q+6=4q-14
-4q -4q
4q+6=-14
Remove 6 from both sides
4q+6=-14
-6 -6
4q=-20
Divide 4 to isolate q
4q/4=-20/4
q=-5
Select the correct answer.
Based on the data in this two-way table, which statement is true?
Type of Flower/Color Red Pink Yellow Total
Rose 40 20 45 105
Hibiscus 80 40 90 210
Total 120 60 135 315
A. A flower being pink and a flower being a rose are independent of each other.
B. A flower being pink is dependent on a flower being a rose.
C. A flower being a rose is dependent on a flower being pink.
D. A flower being pink and a flower being a rose are the same.
Answer: The answer would be A. A flower being pink and a flower being a rose are independent of each other.
Step-by-step explanation:took the test and it was correct on edmentun!!
Find the value of x
Answer:
x = 6
Step-by-step explanation:
(-6, 2), (6, 2), (3, 1), (6, 1)
Please and thank you?
Let's learn the relationship
Area=Length×BreadthSo Area is directly proportional to length
The Garden B has largest area
But hang on this is incorrect it's rectangle other side might be too long .
Spare way(Accurate and correct)We can calculate also
For garden A
2(L+B)=1202(25+B)=120.25+B=60B=35Area
LB
35(25)875ft²For garden B
2(50+B)=12050+B=60B=10Area
50(10)500ft²Surprisingly assumption at first turned right
Garden A has highest area not Garden B
Answer:
Garden A
Step-by-step explanation:
Formula
Perimeter of a rectangle = 2(w + l)Area of a rectangle = w × l(where w is the width and l is the length)
Garden AGiven:
Perimeter = 120 ftOne side length = 25 ftUsing the formula for the perimeter to calculate the missing side length:
Perimeter = 2(w + l)
⇒ 120 = 2(25 + l)
⇒ 120 = 50 + 2l
⇒ 2l = 70
⇒ l = 35 ft
Therefore, the dimensions of Garden A are:
width = 25 ftlength = 35ftArea = w × l
⇒ Area of Garden A = 25 × 35
= 875 ft²
Garden BGiven:
Perimeter = 120 ftOne side length = 50 ftUsing the formula for the perimeter to calculate the missing side length:
Perimeter = 2(w + l)
⇒ 120 = 2(w + 50)
⇒ 120 = 2w + 100
⇒ 2w = 20
⇒ w = 10 ft
Therefore, the dimensions of Garden B are:
width = 10 ftlength = 50 ftArea = w × l
⇒ Area of Garden B = 10 × 50
= 500 ft²
ConclusionAs 875 > 500, Garden A has the largest area.
Maths question
Write an algebraic expression for each of the following
Answer:
a) 3n+5
b) n+16
c) [tex]\frac{n-9}{2}[/tex]
d) [tex]\frac{x-u}{x+u}[/tex]
5 units to the right of -6 is
Answer:
-1
Step-by-step explanation:
To solve the problem, it is suggested to use a number line.
~Please look at image attached
We know the following:
If the change is going to the right of the initial point, the change is a positive integer, and the initial point will be added by the change.If the change is going to the left of the initial point, the change is a negative integer and the initial point will be subtracted by the change.Statement: 5 units to the right of -6.
Therefore, we know the following:
Initial starting point: -6Change: +5Ending point: -6 + 5 = -1
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Number line:What is the probabillity ?
Answer: the chance that a given event will occur
Step-by-step explanation:
pls help!!!
math
what the value??
--
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{ - 25} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ - 1 \times 25} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {i}^{2} \times 25} [/tex]
[tex]\qquad \sf \dashrightarrow \: 5i[/tex]
so, correct choice is D
[tex] \sqrt{ - 25} [/tex]
To find:The equivalent value from the given options.
Solution:[tex] \sqrt{ - 25} [/tex]
[tex] = \sqrt{ - 1\times 25} [/tex]
[tex] = \sqrt{ {i}^{2} \times 25 } [/tex]
[tex] = 5i[/tex]
Therefore, the correct answer is option D
Fiona can type 60 words a minute.
How many words can be typed in 10.5 minutes?
Answer:
630 word
10.5 minute: 10×60+0.5×60=600+30=630 second
60 word 60second
? word 630 second
?=630
Step-by-step explanation:
630 words !?! Because 10.5×60=630
PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLIEST
When a shape has 4 inside angles, the sum of the angles need to equal 360 degrees. This shape has 2 90 degree angles.
Angle DAB = 360 - 90-90 -155 = 25
Answer: 25 degrees,
Answer:
I got u, maybe.
In a triangle, all angles add up to 180, so it might be 180, you already got 155.
Step-by-step explanation:
calculate the volume of a cone whose base radius is 3 and half cm and vertical height 24cm
The volume of a cone whose radius is 3 1 / 2 cm and vertical height is 24 cm is 307.72 cm³
Volume of a coneThe volume of a cone can be represented as follows:
volume = 1 / 3 πr²h
where
r = radiush = heightTherefore,
r = 3 1 / 2 cm = 7 / 2 cm
h = 24 cm
Hence,
volume = 1 / 3 × π × (7 / 2 )² × 24
volume of a cone = 1 / 3 × π × 49 / 4 × 24
volume of the cone = 1 / 3 × π × 1176 / 4
volume of the cone = 1176 / 12 π
volume of the cone = 98π
volume of the cone = 307.72 cm³
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a steel drum is shaped like a cylinder and it has a height of 3 feet and a base radius of one what is the volume of the steel drum in cubic feet
If the height of the cylinder is 3 feet and the base radius of the cylinder is 1 foot. Then the volume of the cylinder will be 9.43 cubic feet.
What is a cylinder?A cylinder is a closed solid with two parallel circular bases and a curving surface connecting them.
A steel drum is shaped like a cylinder and it has a height of 3 feet and a base radius of one.
Then the volume of the cylinder will be
The volume of the cylinder is given as
Volume = πr²h
where r is the radius and h is the height of the cylinder.
We have
h = 3 ft
r = 1 ft
Then the volume of the cylinder will be
Volume = π x 1² x 3
Volume = π x 3
Volume = 9.4247
Volume ≅ 9.43 cubic ft
Then the volume of the cylinder will be 9.43 cubic feet.
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The point P has coordinates (5, 7) The point Q has coordinates (-1,-1) Find the length of the line segment PQ.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad Q(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{[-1 - 5]^2 + [-1 - 7]^2}\implies PQ=\sqrt{(-6)^2 + (-8)^2} \\\\\\ PQ=\sqrt{36+64}\implies PQ=10[/tex]
Xaiver earns 45$ to walk the neighbors dog 8 hours during the week how much does xaiver earn ler hour
Answer:
$5.625 (per hour)Step-by-step explanation:
45÷8 = 5.625
Grace is considering purchasing a phone plan. The phone plan
costs $20 per month plus ten cents for each text message sent.
Write and solve an equation to determine how many text
messages were sent if her monthly bill totals $41.10. (5 points - 1
for defining a variable, 1 for correct equation, 1 for work, 1
for answer, 1 for label)
Answer:
211 text messages
Step-by-step explanation:
20+(m•0.10)=41.10
41.1-20=21.1÷0.1=211
if sin x =cos 60° what is the value of x
Which inequality describes the graph?
The graph is a linear inequality, and the inequality that describes the graph is y < 2x - 1
How to determine the inequality?From the graph, we have the following features:
y-intercept, b = -1It passes through the points (0,-1) and (1,1)The line is a dotted line and the lower region are shaded; so, we make use of the < inequalityNext, we calculate the slope using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{1 + 1}{1 - 0}[/tex]
m = 2
The inequality is then calculated using:
y < mx + b
This gives
y < 2x - 1
Hence, the inequality that describes the graph is y < 2x - 1
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What is the difference? startfraction 2 x 5 over x squared minus 3 x endfraction minus startfraction 3 x 5 over x cubed minus 9 x endfraction minus startfraction x 1 over x squared minus 9 endfraction startfraction (x 5) (x 2) over x cubed minus 9 x endfraction startfraction (x 5) (x 4) over x cubed minus 9 x endfraction startfraction negative 2 x 11 over x cubed minus 12 x minus 9 endfraction startfraction 3 (x 2) over x squared minus 3 x endfraction
The difference of the expression [tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex] is [tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]
How to determine the difference?The expression is given as:
[tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex]
Factor the denominators of the expressions:
[tex]\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x^2 - 9)}[/tex]
Apply the difference of two squares to x² - 9
[tex]\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x - 3)(x + 3)}[/tex]
Take LCM
[tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]
Hence, the difference of the expression [tex]\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}[/tex] is [tex]\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}[/tex]
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Answer:
A
Step-by-step explanation:
on Edge 2022
Please someone help me with this
Answer:Around 14.7 minutes
Step-by-step explanation:
if q= the amount of time, and p=18 you do 12*18 is 216 and radical 216 is 14.6969, (nice). Please let me know if i am inncorrect i am not 100% sure.
Which term best describes the expression 5x4y8 ?
O Polynomial
Binomial
O Monomial
O Trinomial
Answer: Binomial
Step-by-step explanation: There are two variables here, x and y. 5x^4y^8 is a binomial since it involves 2 variables.
Answer:
Monomial
Step-by-step explanation:
A monomial is 1 term. 5x4y8 is one term, and nothing is getting added to it.
Find the missing measures in each parallelogram
help!!
Answer:
y=8
Step-by-step explanation:
SR=2×SG
AND SG=GR
3y-16=2×4
3y-16=8
3y=8+16
3y=24
y=8
The diameter of a circle is 10 ft. Find the circumference to the nearest tenth to the nearest tenth. (Urgent)
Answer:
31.42ft
Step-by-step explanation:
diameter = 10
radius = diameter ÷ 2
r = 10 ÷ 2
r= 5
Circumference = 2(pie)(r)
= 2(22÷7)(5)
= 31.42ft
Answer:
C ≈ 31.4 ft
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = πd ( d is the diameter ) , then
C = π × 10 = 10π ≈ 31.4 ft ( to the nearest tenth )
What is angle M in degrees?
Pls help me this is hard!!
Answer:
27.5
Step-by-step explanation:
<DAC is an inscribed angle that subtends a half circle, so m<DAC = 90°.
Triangle DAC is a right triangle.
CD = 30
AD = 12
(AC)² + (AD)² = (CD)²
(AC)² + 144 = 900
AC = √756
AC = 27.5
Build a number line to show 4/3
The number line with the number 4/3 graphed can be seen at the end of the answer.
How to show the number in a number line?
A number line is something that we use to show the order of the numbers.
Here, we want to show the number 4/3.
Notice that we can write this as:
4/3 = 3/3 + 1/3 = 1 + 1/3
So we need to identify the 1 in the number line, and then move 1/3 to the right. Below you can see a image where the number 4/3 is graphed on the shown number line.
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