What is the perimeter of a triangle if the lengths of the sides
are 8", 10", and x?
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Answers
Answer:
P=x+18
Step-by-step explanation:
a=8
b=x
c=10
P=8+x+10
Related Questions
PLS HELP THANK YOU SO MUCH
Answers
As we know that, while finding any angles on a line, the full angle is 360°.
Now we have three angles in the image and their sum will be 360°, and the angles are :
68° 90° yNow, 68° + 90° + y = 360°
=> 158° + y = 360°
=> y = 360° - 158°
=> y = 202°
Hence, y = 202° is the answer.
Give an algebraic representation of these data
x|y
1|1
4|7
7|13
10|19
Answers
Answer:
y = 2x - 1
Step-by-step explanation:
Slope
for every increase of 3 in x
there's an increase of 6 in y
m = rise/run
m = 6/3
m = 2
----------------------------
Slope intercept form is
y = mx + b
To find "b" plug in m = 2 and any of the given points
using (1, 1)
1 = 2(1) + b
1 = 2 + b
b = -1
The equation is
y = 2x - 1
what is the answer for d?
Answers
So 5^3 * 5^1 is 5^4
solve without using a calculator nor natural logarithms (e or in)
Answers
Hello there. To solve this question, we'll have to remember some properties about exponential equations.
Given the following equation:
\(2^{3x-4}=5\cdot3^{-x+4}\)To solve it, take the base 10 logarithm on both sides of the equation:
\(\log(2^{3x-4})=\log(5\cdot3^{-x+4})\)Apply the following properties:
\(\begin{gathered} 1.\text{ }\log(a\cdot\,b)=\log(a)+\log(b) \\ \\ 2.\text{ }\log(a^b)=b\cdot\log(a) \end{gathered}\)Therefore we get
\((3x-4)\cdot\log(2)=\log(5)+(4-x)\cdot\log(3)\)Apply the FOIL, such that we get
\(3\log(2)\,x-4\log(2)=\log(5)+4\log(3)-\log(3)\,x\)Add log(3) x + 4 log(2) on both sides of the equation, such that we get
\(3\log(2)\,x+\log(3)\,x=\log(5)+4\log(3)+4\log(2)\)Rewrite
\(\begin{gathered} 3\log(2)=\log(2^3)=\log(8) \\ \\ 4\log(3)=\log(3^4)=\log(81) \\ \\ 4\log(2)=\log(2^4)=\log(16) \\ \end{gathered}\)Therefore we get
\(\begin{gathered} (\log(8)+\log(3))x=\log(5)+\log(81)+\log(16) \\ \\ \Rightarrow\log(24)\,x=\log(6480) \end{gathered}\)Divide both sides of the equation by a factor of log(24)
\(x=\dfrac{\log(6480)}{\log(24)}\)This is the answer to this question and it is approximately equal to:
\(x\approx2.7615\cdots\)NEED HELP ASAP Writing Quadratics From A Table
Answers
Answer: In the table x part, it increases from -2 all the way to 4. In the table y part, it decreases from 17 to -1, but then increases back from -1 to 17.
What kind of triangle is this?
5
5
5
Answers
Answer:
Equilateral
Step-by-step explanation:
If the sides' lengths are equal then it's an equilateral triangle. Scalenes have no equal sides and isosceles have 2 equal sides
Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the number of years since it was last purchased.
What equation models this function?
ANSWER: 8(1.25)x just took the test
Answers
Answer:
\(f(t) = 8e^{0.223144t}\)
Which choice is equivalent to the expression below?
V -100
O A. 110;
B. 101
C. -10
O D. 10
O E. - V10
Answers
Answer:
C. -10Step-by-step explanation:
\(hope \: it \: helps\)
CarryOnLearning
What type of triangle center is shown as point A in the figure?
A)
Orthocenter
B)
Incenter
C)
Centroid
D)
Circumcenter
Answers
Check the picture below.
Please help if you can, this is due tomorrow.
In the diagram below, $\angle BAC=24^\circ$ and $AB=AC$.
If $\angle ABC=y^\circ$, what is the value of $y$?
[asy]
size(4.25cm);
pair a=(0,cos(pi/15)); pair b=(-sin(pi/15),0); pair c=-b; pair d=c+(1,0);
dot(a); dot(b); dot(c);
draw(c--a--b--c);
draw((2*a+3*b)/5-0.05*(cos(pi/15),-sin(pi/15))--(2*a+3*b)/5+0.05*(cos(pi/15),-sin(pi/15)));
draw((2*a+3*c)/5-0.05*(cos(pi/15),sin(pi/15))--(2*a+3*c)/5+0.05*(cos(pi/15),sin(pi/15)));
label(scale(0.75)*"$24^\circ$",a-(0,0.3),S);
label("$A$",a,N);
label("$B$",b,SSW);
label("$C$",c,S);
label(scale(0.85)*"$y^\circ$",b,NE);
[/asy]
Answers
The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
What is equation?Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.
From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.
This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.
In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
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Answer:
78
Step-by-step explanation:
A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).
A. 9
B. 4/3
C. 1/4
D. 3/4
Please select the best answer from the choices provided.
Answers
8+3+1=12
1-3/12=3/4
Two cylinders, a and b, each started with different amounts of water. The graph shows how the height of the water changed as the volume of water increased in each cylinder. Match the graphs of a and b to Cylinders P and Q. Explain your reasoning. height in centimeters b volume in milliliters P
Answers
To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.
Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.
The reasoning behind this is as follows:
Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.
Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.
In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.
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Q13
Steve receives £200 each month from his parents as an allowance.
20% of this amount is spent on his football magazine subscription, and the rest he spends on football stickers,
sweets, and fizzy drinks in the ratio of 5: 2: 1.
How much does Steve spend on football stickers?
Answers
Step-by-step explanation:
Steve spends 20% of £200 = 0.2 * £200 = £40 on his football magazine subscription.
The remaining amount he spends on football stickers, sweets, and fizzy drinks in the ratio of 5:2:1, which means that for every 5 parts he spends on football stickers, he spends 2 parts on sweets and 1 part on fizzy drinks.
So, let's call the amount he spends on football stickers "5x". Then, the amount he spends on sweets is "2x" and the amount he spends on fizzy drinks is "x".
The total amount he spends on these items is:
5x + 2x + x = 8x
We know that he has £200 - £40 = £160 left after paying for his magazine subscription. So, we can set up an equation:
8x = £160
Solving for x, we get:
x = £20
Therefore, Steve spends:
5x = 5 * £20 = £100
on football stickers.
Can you mark me asbrainliest if you appreciate my effort just for favor. Thank you^^
Answer:
5 : 2 : 1 = 100 : 40 : 20
Step-by-step explanation:
10% = 20 (200÷10=20)
20% = 40 (double both sides)
take away £40 from £200 = £160
£160 is left over after buying the magazine subscription
______________________________
add the radio all together = 5:2:1 = 8
divide 8 by 160 = £20
That now means 1 = 20
5 : 2 : 1
we already found 1, now to find 2 and 5
you times 2
1 = 20
2 = 40
and then do the same for 5
1 = 20
5 = 100
To know this is right, 100 + 40 + 20 = 160 the original number for the money left over.
Please, help it is geometry
Answers
Answer:
WR ≈ 13.862
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
WR² + RT² = WT²
WR² + 12.1² = 18.4²
WR² + 146.41 = 338.56 ( subtract 146.41 from both sides )
WR² = 192.15 ( take the square root of both sides )
WR = \(\sqrt{192.15}\) ≈ 13.862 ( to the nearest thousandth )
Which coupon will save Estelle more money on a microwave originally priced at $245.80?
Answers
Answer: lemme solve it ty
Step-by-step explanation:
hi
A submarine located 75 feet below the surface of water begins to descend further at a rate of 8 feet per minute. The expression-75-8m represents the depth of submarine after each minute, m. Find the depth of the submarine after 5 minutes?
Answers
Answer:
115 feet below surface
Step-by-step explanation:
The starting depth of the submarine is 75 feet. Multiply 8ft.*5 to then get 40ft. Add 75ft to 40ft to get 115 ft.
Fred did 600 J of work in 60 seconds. Calculate his power.
O
A. 600 W
B. 100 N
C. 500 N
OD. 10 W
Answers
Answer:
To calculate Fred's power, we can use the formula:
Power = Work / Time
Given that Fred did 600 J of work in 60 seconds, we can substitute the values into the formula:
Power = 600 J / 60 s
Power = 10 W
Therefore, the correct answer is:
D. 10 W
Step-by-step explanation:
Answer:
Power = Work/Time
Power = 600 J/60 s = 10 W
Therefore, the answer is D. 10 W.
Step-by-step explanation:
need awnsers
A certain shade of blue paint is made by mixing 1 1/2 quarts of blue paint with 5 quarts of white paint. If you need a total of 16.25 quarts of this shade of blue paint, how much of the blue paint should you mix?
Answers
Answer:
9.75
1 1/2+5=6 1/2
6 1/2=6 2/4=6.50
16.25-6.50=9.75
The fraction 7/8 produces a repeating decimal.
0.875
O A. True
O B. False
Answers
Answer:
b
Step-by-step explanation:
the answer to 7/8 is 0.875 it is not recurring as it has no dot at the top
confused on question in screenshot.
Answers
Answer:
The right answer is the second option, 9,747.
Step-by-step explanation:
\(EG^2 = DG*FG \\ EG^2 = 5*14 \\ EG = \sqrt{70}\)
Now let's find DE (Pythagorean theorem).
\(DE^2 = DG^2+EG^2\\ DE = \sqrt{25+70} \\ DE = \sqrt{95}\)
\(\sqrt{95} =9,7467... = 9,747\)
Work out the value of (-/-5)2 X (-/-3)2
Answers
Answer:
\((\frac{-}{-5} )2*(\frac{-}{-3} )2\\\frac{2}{5} *\frac{2}{3} \\\frac{4}{15}\)
Step-by-step explanation:
Hope it will help you.
Answer:
\(( \frac{ - }{ - 5} )2 \times ( \frac{ - }{ - 3} )2\)
\(( \frac{ \cancel - }{ \cancel - 5} )2 \times ( \frac{ \cancel- }{ \cancel- 3} )2\)
\( \frac{2}{5} \times \frac{2}{3} \)
\( \frac{2 \times 2}{5 \times 3} \)
\( \frac{4}{15} \)
What is a residual for a multiple regression model and the data that is used to create it? select one.
Answers
Option d is correct
What is the "multiple regression" model:y=β0+β1x1+β2x2+β3x3+........+βkxk+ε
Where y is the "independent" variable and 0 to k are the "regression" coefficients. In a "multiple linear regression" model, the "independent" variables are x1, x2, x3,..., xk, and the "residual" or "error" term is.
The "residual" for the regression model is calculated using the following formula.
Residual=y-ŷ
Where y is the "independent variable's" "actual" value and is the "independent variable's" "predicted" value.
The "difference" between the "actual" value of the "dependent" variables and the corresponding "predicted" value when employing the "multiple regression" model is referred to as the "residual" in the "residual" formula.
A statistical technique for evaluating the relevance of a "multiple regression" model is the "F test." Linear models are A linear model is a statistic that explains the “relationship” between “response” and “predictor” variables. Using the “multiple regression” model, the “predicted” value of the “response” variable is denoted by ŷ.
hence option 4 is correct
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I understand you mean:
What is a residual for a multiple regression model and the data that is used to create it? Select one:
1.A statistic that is used to evaluate the significance of the multiple regression model
2.A statistic that explains the relationship between response and predictor variables
3.The predicted value of the response variable using the multiple regression model
4.The difference between the actual value of the response variable and the corresponding predicted value (regression error) using the multiple regression model
there are 7 people to be seated in a row. answer the following.A. Find The Number Of Combinations If There Are No Restrictions On The Seating Arrangements. B. There Are Three Friends That Must Sit Together. Find The Number Of Combinations In Which The Three Friends Are Next To Each Other. C. Suppose That An Usher Randomly Assigns The Seats To The 7
Answers
A) The Number of Combinations if there are no restrictions on the seating arrangements are 5040 ways.
B) There are three friends That must sit together
in 36 ways.
C) Three friends are next To each other in 144 different ways.
Total number of people = 7 and seated in a row.
Combination is arrangement of objects in a particular order. The formula of combination is
ⁿCₓ = n!/(n-x)! x!
n --> total number of objects
we have to determine how many ways can 7 be seated in a row.
A) if there are no restrictions on seating arrangement, The number of possible ways = n!
Here, n! = 7!
= 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.
Therefore, there are 5040 ways that the people can be seated when there is no restriction on the seating arrangement.
b) There are three friends that must sit Together. The three persons can be arranged in 3!
The possible number of ways = 3! × 3! × 1
= 3× 2×1 ×3×2×1
= 36
C) If there are three friends must sit next to one another. There are total seven persons . Three persons sit next to one another. The possible number of ways = 3! × 4!
= ( 3 × 2 × 1) × (4 × 3 × 2 × 1)
= 6 × 24
= 144 ways
Therefore, if there are 3 sit next to one another, there are 144 ways of seating arrangement.
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find the sum of 8 terms of the Arithmetic series: 3,6,9,......
Answers
Answer:
Step-by-step explanation:
so write 8 terms.. By observation we know this series just add 3 for each element in the series...
3,6,9,12,15,18,21,24
now we have 8 terms, just add those
3+6+9+12+15+18+21+24= 108
I used my calculator :P
Answer:
Step-by-step explanation:
below
Adam invests $1,051 in a savings account with a fixed annual interest rate that is compounded continuously. After 8 years, the account balance reaches $1,698.49. What is the interest rate of the account?
Answers
The account has an annual interest rate of 6.80%, compounded continuously.
What is interst rate?Interest is the cost associated with the boring money or to return on for lending money it is typically expressed as a percent of the principal amount borrowed or lent and usually the paid periodically over the life of loan interest can also be on from investment such as saving account bonds and the other financial instrument.
The interest rate of the account can be calculated as follows:
Rate = ln(1,698.49/1,051)/(8×ln(1))
Rate = 0.0680 or 6.80%
This means that the account has an annual interest rate of 6.80%, compounded continuously.
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I WILL GIVE THE BRAINIEST
A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch
However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an
Now let a be the number of students who went on the trip and s9 be the original number of students who had planned to go on the trip
What equation can be written to determine the number of students that went on this trip?
Answers
An equation can be written to determine the number of students that went on this trip is: C. \(\frac{1259}{s} + 12=\frac{1259}{s+9}\)
How to write an equation to determine the number of students that went on this trip?In order to write an equation to determine the number of students that went on this trip, we would have to assign a variable and an expression to the number of students who went on the trip and the original number of students who had planned to go on the trip as follows;
Let the variable s represent the number of students who went on the trip.Let the expression s + 9 represent the original number of students who had planned to go on the trip.Since a total of $1259 was collected from all of the students with 9 students dropping out and their portion of the money collected given back to them while the students that are all still going must contribute an additional $12, an equation to determine the number of students that went on this trip is given by;
\(\frac{1259}{s} + 12=\frac{1259}{s+9}\)
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Complete Question:
A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch.
However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an additional $12 each to cover all of the cost.
Now let s be the number of students who went on the trip and s + 9 be the original number of students who had planned to go on the trip
What equation can be written to determine the number of students that went on this trip?
Answer the question with an algebraic expression.
The perimeter of a square is m meters. How long, in centimeters, is each side of the square?
Answers
The length of the square in centimetres in algebraic expression is 25m
How to find the side length of a square?The perimeter of a square is m meters.
The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:
Therefore,
perimeter of a square = 4l
where
l = side lengthTherefore,
m = 4l
where
m = perimeter of the squarel = m / 4 meters.
Therefore, the side length of the square in centimetres is as follows:
1 meters = 100 cm
m / 4 meters = ?
cross multiply
length of the square in meters = m / 4 × 100
length of the square in meters = 100m / 4
length of the square in meters = 25m
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Which expression is equal to 48 + 72?
A
24(2 + 3)
B
8(6 + 12)
с
3(14 + 24)
D
2(24 + 38)
Answers
Answer:
A
Step-by-step explanation:
I did the math and i have no doubt
please help me it is integral calculus
Answers
Step-by-step explanation:
use the properties of integration to simplify, then take the integral.
Answer:
First, express the fraction in partial fractions
Write it out as an identity.
As the denominator has a repeated linear factor, the power of the repeated factor tells us the number of times the factor should appear in the partial fraction. A factor that is squared in the original denominator will appear in the denominator of two of the partial fractions - once squared and once just as it is:
\(\dfrac{2x^2+x+1}{(x+3)(x-1)^2} \equiv \dfrac{A}{(x+3)}+\dfrac{B}{(x-1)}+\dfrac{C}{(x-1)^2}\)
Add the partial fractions:
\(\dfrac{2x^2+x+1}{(x+3)(x-1)^2} \equiv \dfrac{A(x-1)^2+B(x+3)(x-1)+C(x+3)}{(x+3)(x-1)^2}\)
Cancel the denominators from both sides of the original identity, so the numerators are equal:
\(2x^2+x+1 \equiv A(x-1)^2+B(x+3)(x-1)+C(x+3)\)
Now solve for A and C by substitution.
Substitute values of x which make one of the expressions equal zero (to eliminate all but one of A, B and C):
\(\begin{aligned}x=1 \implies 2(1)^2+(1)+1 & = A(1-1)^2+B(1+3)(1-1)+C(1+3)\\4 & = 4C\\\implies C & =1\end{aligned}\)
\(\begin{aligned}x=-3 \implies 2(-3)^2+(-3)+1 & = A(-3-1)^2+B(-3+3)(-3-1)+C(-3+3)\\16 & = 16A\\\implies A & =1\end{aligned}\)
Find B by comparing coefficients:
\(\begin{aligned}2x^2+x+1 & = A(x^2-2x+1)+B(x^2+2x-3)+C(x+3)\\ & = (A+B)x^2+(2B-2A+C)x+(A-3B+3C)\end{aligned}\)
\(\begin{aligned}\implies 2x^2 & = (A+B)x^2\\2 & = A + B\\\textsf{substituting found value of A}: \quad2 & = 1+B\\\implies B & = 1 \end{aligned}\)
Replace the found values of A, B and C in the original identity:
\(\implies \dfrac{2x^2+x+1}{(x+3)(x-1)^2} \equiv \dfrac{1}{(x+3)}+\dfrac{1}{(x-1)}+\dfrac{1}{(x-1)^2}\)
Now integrate:
\(\begin{aligned}\displaystyle \int \dfrac{2x^2+x+1}{(x+3)(x-1)^2}\:dx &=\int \dfrac{1}{(x+3)}+\dfrac{1}{(x-1)}+\dfrac{1}{(x-1)^2}\:\:dx\\\\& =\int \dfrac{1}{(x+3)}\:dx\:\:+ \int\dfrac{1}{(x-1)}\:dx\:\:+\int \dfrac{1}{(x-1)^2}\:dx\\\\& = \ln |x+3|+ \ln |x-1|-\dfrac{1}{x-1}+C\end{aligned}\)
How many full revolutions does a car tire with a diameter of 25 inches make when the car travels one mile? (Round your answer to the nearest whole number, remember there is 63360 inches in 1 mile,
Answers
Answer: So how many times can you get 94.2 inces from 1 mile?
How many inches are there in 1 mile?
1 mile = 5280 feet and...
1 foot = 12 inches., so...
1 mile = 5280ft.(12in./ft)
1 mile = 63,360 inches. Finally, you will divide 63,360 inches by 94.2 inches per revolution.
63360%2F94.2+=+672.6revolutions per mile :)
Step-by-step explanation: hope this helped