Answer:
Length of the square = 3 inches
Equation: [tex]l = L - 3[/tex] and [tex]l = W - 1[/tex]
Step-by-step explanation:
Given
Area of the rectangle = 24
Required
Length of the square when the dimension of the rectangle is trimmed by 3 inches * 1 inches
Represent the dimension on the rectangle by L and W
Such that L represent Length and W, Width
This implies that
[tex]L * W = 24[/tex]
Represent the length of the rectangle by l
Such that
[tex]l = L - 3[/tex] and [tex]l = W - 1[/tex] (When trimmed)
Equate both expressions
[tex]L - 3 = W - 1[/tex]
Add 3 to both sides
[tex]L - 3 + 3 = W - 1 + 3[/tex]
[tex]L = W + 2[/tex]
Next is to list all possible dimensions of the rectangle;
[tex]Area(L,W) = Length * Width[/tex]
[tex]Area(24,1) = 24 * 1 = 24[/tex]
[tex]Area(12,2) = 12 * 2 = 24[/tex]
[tex]Area(8,3) = 8 * 3 = 24[/tex]
[tex]Area(6,4) = 6 * 4 = 24[/tex]
From the list above, the only calculation that fits our solution is
[tex]Area(6,4) = 6 * 4 = 24[/tex]
Such that
[tex]6 = 4 + 2[/tex]
By direct comparison of [tex]6 = 4 + 2[/tex] to [tex]L = W + 2[/tex];
[tex]L = 6[/tex]
[tex]W = 4[/tex]
Recall that
[tex]l = L - 3[/tex] and [tex]l = W - 1[/tex]
Substitute 6 for L and 4 for W
[tex]l = 6 - 3[/tex] and [tex]l = 4 - 1[/tex]
[tex]l = 3[/tex] in both cases
Hence, the length of the square is 3 inches
And the equation is [tex]l = L - 3[/tex] and [tex]l = W - 1[/tex]
PLEASE HELP Question 1(Multiple Choice Worth 4 points) (08.03)A system of equations is given below: y = –2x + 1 6x + 2y = 22 Which of the following steps could be used to solve by substitution? 6x + 2(−2x + 1) = 22 −2x + 1 = 6x + 2y 6(−2x + 1) + 2y = 22 6(y = −2x + 1) Question 2(Multiple Choice Worth 4 points) (08.03)Solve the system of equations and choose the correct answer from the list of options. d + e = 15 −d + e = −5 Label the ordered pair as (d, e). (0, 0) (10, −5) (5, 10) (10, 5) Question 3(Multiple Choice Worth 4 points) (08.03)A set of equations is given below: Equation H: y = −x + 2 Equation J: y = 3x − 4 Which of the following steps can be used to find the solution to the set of equations? −x = 3x − 4 −x +2 = 3x −x + 2 = 3x − 4 −x + 1 = 3x + 2 Question 4(Multiple Choice Worth 4 points) (08.03)A set of equations is given below: Equation M: y = 3x + 4 Equation P: y = 3x + 7 Which of the following options is true about the solution to the given set of equations? No solution One solution Two solutions Infinite solutions Question 5(Multiple Choice Worth 4 points) (08.03)Solve the system of equations and choose the correct answer from the list of options. x + y = −3 y = 2x + 2 five over 3 comma 4 over 3 negative 5 over 3 comma negative 4 over 3 negative 3 over 5 comma negative 3 over 4 3 over 4 comma 3 over 5
Answer:
6x + 2(−2x + 1) = 22
Step-by-step explanation:
Answer: The answer is 6x + 2(−2x + 1) = 22
Help..... please math
Answer:
Ones: 91
Hundredths: 91.20
Step-by-step explanation:
All numbers that comprises the digits, 91.20, have place value.
The 9 in the digit has a place value of tens, i.e. 9*10 = 90.
The 1 has a place value of one's, i.e. 1*1 = 1
The 2, after the decimal point to the right, has a place value of tenth, i.e. 1*10-¹ = ⅒ = 0.1
While the zero has a place value of hundredth.
Therefore, the digits, in the ones place = 91
In the hundredths place = 91.20
Can someone help me with this
Answer:
D
Step-by-step explanation:
Apply rule : [tex]-(-a)=+a[/tex]
Negative times negative is positive.
The expression turns into a sum of fractions.
A square has side length x and a triangle has a base (3x - 2) and height (2x + 4). At what value of x will the two figures have the same area?
Show work and explain all steps.
Answer:
0.73
Step-by-step explanation:
Data obtained from the question include the following:
Length (L) of square = x
Base (b) of triangle = (3x – 2)
Height (h) of triangle = (2x + 4)
Area of square = L²
Area of square = x²
Area of triangle = ½bh
Area of triangle = ½(3x – 2) (2x + 4)
Expand
½ [3x(2x + 4) –2(2x + 4)]
½[6x² + 12x – 4x – 8]
½[6x² + 8x – 8]
3x² + 4x – 4
Area of triangle = 3x² + 4x – 4
Now, to find the value of x which makes the area of the two figures the same, we simply equate both areas as shown below:
Area of triangle = area of square
Area of triangle = 3x² + 4x – 4
Area of square = x²
Area of triangle = area of square
3x² + 4x – 4 = x²
Rearrange
3x² – x² + 4x – 4 = 0
2x² + 4x – 4 = 0
Solving by formula method
a = 2, b = 4, c = –4
x = – b ± √(b² – 4ac) / 2a
x = – 4 ± √(4² – 4×2×–4) / 2×2
x = – 4 ± √(16 + 32) / 4
x = – 4 ± √(48) / 4
x = (– 4 ± 6.93)4
x = (– 4 + 6.93)4 or (– 4 – 6.93)4
x = 0.73 or –2.73
Since the measurement can not be negative, the value of x is 0.73.
A pyramid has a square base with sides 8" and a slant height of 5". Total Area = 144 square units 200 square units 224 square units
Answer:
It's 144 square units
Step-by-step explanation:
The pyramid has a square base with 8 sides and a slant height of 5
a=8
l=5
The total are of the square base pyramid is
A= [tex]a^{2}[/tex]+2al
a is side length of square and l is slant height
A= [tex](8)^{2}+2[/tex] x 8 x 5
A=64+80
A=144
Add. 5/4+1/2 plzzzzzzzzz helppppppp!!!!!!!!!!!
Answer:
1 3/4
Step-by-step explanation:
5/4 + 1/2
Get a common denominator of 4
5/4 * 1/2 *2/2
5/4 + 2/4
7/4
Rewriting as a mixed number
4/4 + 3/4
1 3/4
Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form? Y = 3 (x minus seven-halves) squared minus StartFraction 27 Over 4 EndFraction y = 2 (x minus 1) squared minus 11 y = 2 (x minus one-half) squared minus StartFraction 53 Over 4 EndFraction y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
or
[tex]y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]
Step-by-step explanation:
Vertex form of equation : [tex]f (x) = a(x - h)^2 + k,[/tex]where (h, k) is the vertex of the parabola.
[tex]y=3(x-2)^2-(x-5)^2\\\\=3(x^2+4-4x)-(x^2+25-10x)\\\\=3x^2+12-12x-x^2-25+10x\\\\=2x^2-2x-13\\\\=2(x^2-x-\dfrac{13}{2})\\\\=2(x^2-x+\dfrac{1}{4}-\dfrac{1}{4}-\dfrac{13}{2})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{1+26}{4})\\\\=2((x-\dfrac{1}{2})^2-\dfrac{27}{4})=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]
Hence, the vertex form of the equation is [tex]y=2((x-\dfrac{1}{2})^2)-\dfrac{27}{2}[/tex]
Answer:
i got y=2(x-1/2)^2- 27/2 so the last one is right
Step-by-step explanation:
:)
Determine whether these two functions are inverses. Show your work please. f(x)= 1/x+4-9; g(x)=1/3x+9
Answer: No they are not inverses.
Step-by-step explanation:
If they are inverses, then the inverse of f(x) will equal g(x).
[tex]y=\dfrac{1}{x+4}-9\\\\\\\text{Swap the x's and y's:}\\x=\dfrac{1}{y+4}-9\\\\\\\text{Solve for y:}\\x+9=\dfrac{1}{y+4}\\\\y+4=\dfrac{1}{x+9}\\\\y=\dfrac{1}{x+9}-4[/tex]
f⁻¹(x) ≠ g(x) so they are not inverses
The diagonals of kite KITE intersect at point P. If m
A. 34°
B. 46°
C. 68°
D. 92°
Answer:
The diagonal of kite intersect at the point p is C. 68°
The average of three numbers is 25. two of the numbers are 45 and 16. What is third one.
Answer:
14
Step-by-step explanation:
I attached a picture and I hope this helps ;) ❤❤❤
Answer:
The third number is 14
Step-by-step explanation:
To find the average of 3 numbers add the three numbers and divide by 3
Let x be the third number
( 45+16+x) /3 = 25
Multiply each side by 3
( 45+16+x) /3 *3 = 25*3
( 45+16+x) = 75
Combine like terms
61+x = 75
Subtract 61 from each side
61+x-61 = 75-61
x = 14
MATH HELP ME ASAP!!!!
Answer:
You get 12$ per B and 15$ per A. Thus, the answer is A) $282
Step-by-step explanation:
4A+4B=108
Divide by 4
A+B=27
Subtract B
A = 27 - B
3A+5B=105
Substitution
3(27-B)+5B = 105
Distribute
81-3B+5B=105
Combine like terms
81+2B=105
Subtract 81
2B=24
Divide by 2
B = 12
A = 15
14(15)+6(12)=x
210+72=x
282=x
Hope it helps <3
Which set of ordered pairs represents a function?
{(7,-2),(-8, -1),(-6,1), (-6, – 7)}
{(-4,1), (6,1),(7,-6), (7,0)}
{(2,-6), (1, -3), (-5,7),(1,0)}
{(-9,3), (-5,1), (7,-5), (4,3)}
The correct is:
[tex][(-9,3),\:(-5,1),\:(7,-5),\:(4,3)][/tex]
The definition of a function is that for every value of [tex]x[/tex] we get one from [tex]y[/tex].
In the first appears [tex](-6,1)[/tex] y [tex](-6,-7)[/tex], it is not a function, since it does not meet the definition given above, there can only be one value for x, if there are [tex]2[/tex] or more, called relation.
In 2 repeat: [tex](7,-6)[/tex] and [tex](7,0)[/tex]
In 3 repeat: [tex](1,-3)[/tex] and [tex](1,0)[/tex]
An urn contains 5 white and 10 black balls. A fair die is rolled and that numberof balls are randomly chosen from the urn. What is the probability that all of theballs selected are white? What is the conditional probability that the die landed on3 if all the balls selected are white?
Step-by-step explanation:
[tex]A[/tex]- all of the chosen balls are white [tex]E_{i}-[/tex] result of the die roll is [tex]i, \quad i \in\{1,2,3,4,5,6\}[/tex]
Probabilities:
since the die is fair:
[tex] P\left(E_{i}\right)=\frac{1}{6} \quad \text { for } \quad i \in\{1,2,3,4,5,6\} [/tex]
If the die rolls [tex]i[/tex] we choose a combination of [tex]i[/tex] balls, among 10 black and five white balls, therefore
\[ \begin{array}{c}
P\left(A \mid E_{1}\right)=\frac{\left(\begin{array}{c} 5 \\
1 \end{array}\right)}{\left(\begin{array}{c} 15 \\ 1 \end{array}\right)}=\frac{5}{15}=\frac{1}{3} \\ P\left(A \mid E_{2}\right)=\frac{\left(\begin{array}{c} 5 \\ 2 \end{array}\right)}{\left(\begin{array}{c} 15 \\ 2
\end{array}\right)}=\frac{10}{105}=\frac{2}{21} \\
P\left(A \mid E_{3}\right)=\frac{\left(\begin{array}{c} 5 \\ 3
\end{array}\right)}{\left(\begin{array}{c} 15 \\ 3
\end{array}\right)}=\frac{10}{455}=\frac{2}{91} \\
P\left(A \mid E_{4}\right)=\frac{\left(\begin{array}{c} 5 \\ 4
\end{array}\right)}{\left(\begin{array}{c} 15 \\ 4
\end{array}\right)}=\frac{1}{273} \\
P\left(A \mid E_{5}\right)=\frac{\left(\begin{array}{c} 5 \\ 5
\end{array}\right)}{\left(\begin{array}{c} 15 \\ 5
\end{array}\right)}=\frac{1}{3003} \\
P\left(A \mid E_{6}\right)=\frac{\left(\begin{array}{c} 5 \\ 6
\end{array}\right)}{\left(\begin{array}{c} 15 \\ 6
\end{array}\right)}=0
\end{array} \]
A basketball weighs an average of 22 ounces, and it is possible for its weight to vary at most 0.75 ounces from this average. What's the range for a basketball's weight? Question 1 options: A) 21.25 ≤ x ≤ 22.75 B) 21.25 22.75 or x < 21.25
Answer: A) 21.25 ≤ x ≤ 22.75
Step-by-step explanation:
Given, Average weight of basketballs = 22 ounces
It is possible for its weight to vary at most 0.75 ounces from this average.
Let x denotes the weight of the basket ball.
Then, the required range for a basketball's weight:
Average-0.75 ≤ x ≤ Average+0.75
⇒22-0.75 ≤ x ≤ 22+0.75
⇒21.25 ≤ x ≤ 22.75
Hence, the range for a basketball's weight: 21.25 ≤ x ≤ 22.75 .
Correct option: A) 21.25 ≤ x ≤ 22.75
I REALLY need help with this! Could someone please help me?
Answer:
Construction II
Step-by-step explanation:
Construct 3 perpendicular bisectors of the triangles sides; where they intersect is the point of concurrency. The distance from the point of concurrency to one of the vertices is the radius.
Classify the following triangle. Check all that apply.
A. Obtuse
B. Isosceles
C. Scalene
D. Equilateral
E. Acute
F. Right
Answer:
isosceles
Step-by-step explanation:
I need help with this problem! Must explain why.
Answer:
95°
Step-by-step explanation:
Angle 1 and 4 are opposite angles, thus equal, so:
3x+10 = 4x-15 =>
x = 25
Angle 1 and 4 are 85°
Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.
Angle 6 and 7 are again opposite, so angle 7 is 95° as well!
A wholesaler requires a minimum of four items in each order from its retail customers the manager of one retail store is considering ordering a certain number of sofas X and a certain number of pillows that come in pairs why which graph represents the overall equation represent by the scenario appointment not apply to the scenario
Answer: Option D
Step-by-step explanation:
Answer:
✔ D.
Step-by-step explanation:
E2021
PLEASE HELP I WILL REWARD BRAINLY. PLEASE ONLY ANSWER IF YOU KNOW HOW TO SOLVE THIS PROBLEM. PLEASE INCLUDE INSIGHTFUL EXPLAINATION AND THOUGHT PROCESS: A woman and her two children are playing on a seesaw. This seesaw has seats that can move to different distances from the fulcrum. Riders can also add seats to the seesaw. The woman weighs 145lb, her son weighs 95lb, her daughter weighs 70lb, each seat weighs 5 pounds. Question: The woman is on the left side of the seesaw, 60 inches from the fulcrum. The daughter and son both get on the right side. The son sits 60 inches from the fulcrum. Where should the daughter sit to balance the seesaw. Please explain your process and give correct answer.
Answer: 40 inches
Step-by-step explanation:
The woman weight and the seat will be: 145lb + 5lb = 150lb,
her son weight and the seat will be: 95lb + 5lb = 100lb
her daughter weight and the seat will be: 70lb + 5lb = 75lb
Given that the woman is on the left side of the seesaw, 60 inches from the fulcrum. The moment of the woman will be 150 × 60 = 9000
The daughter and son both get on the right side.
If the son sits 60 inches from the fulcrum, his moment will be:
100 × 60 = 6000
The sum of the moment of the son and daughter must be equal to the moment of their mother.
Let the position of the daughter = X
The moment of the daughter will be:
75 × X = 75X
Equate the moment of the mother to the sum of the moment of her children
9000 = 6000 + 75X
Collect the like terms
75X = 9000 - 6000
75X = 3000
X = 3000/75
X = 40
The position the daughter should sit to balance the seesaw is 40 inches away from seasaw to the right.
Hello!! Plz ans with explanation.. Plz!! I need it ASAP!!! PLZ TYSM
Faaast!!
Answer:
1/4
1/2
3/4
Step-by-step explanation:
Given:
Types of colors in the spinner
Yellow 1
Red 2
Blue 1
Total:4
Successful outcome of Yellow:1
Successful outcome of Red:2
Successful outcome of Blue:1
Required:
Probability of the
blue sectorred sectornot on yellow sectorFormula:
Probability= successful outcome ÷ possible outcome
Solution
Blue sectorProbability=1 ÷ 4
Red sectorProbability= 2÷4
not on yellow sectorProbability= 3÷4
Hope this helps ;) ❤❤❤
What are the solutions of the equation (x+2)^2-2x(x+2)-15=0? Use u substitution to solve.
Answer:
3
Step-by-step explanation:
Answer: x = -5 and x = 3
Step-by-step explanation:
on edg
5t - 3 = 3t - 5 : solve
Answer: -1
Step-by-step explanation:
[tex]5t-3=3t-5[/tex]
Add 3 to both sides.
[tex]5t=3t-2[/tex]
Subtract 3t from both sides.
[tex]2t=-2[/tex]
[tex]t=-1[/tex]
Hope this helps!
Answer: t=-1
Step-by-step explanation:
1) add 3 to both sides
2) subtract 3t from both sides
3) Divide both sides by 2
Please help I’m being timed!!! When planning road development, the road commission estimates the future population using the function represented in the table, where x is the time in years and f(x) is the total population. What is the significance of 160,000 in the function? A) the maximum population of the city B) the expected population in 5 years C) the initial population at the time of the estimation D) the amount of increase in the population in 5 years
The correct answer is C) The initial population at the time of the estimation
Explanation:
A mathematical function represents the relationship between two variables by showing how one increases or decreases as the other changes. In the case presented, the variables are the time in years represented by x and the population represented by f (x). In this context, the value 160.000 in column f(x) represents the population on the year 0, this means the current population or initial population when the function or estimation is created. On the other hand, other values represent the population in the future, for example, the value 173189 represents the population in 4 years.
Answer:
yes the 3ed answer in correct on ENG 2022
What is the volume of the cone? What is the volume of the cylinder? What is the volume of the sphere? At the craft store discussed above, the clay cone is $12, the clay cylinder is $30, and the clay sphere is $28. Which is the best buy? Explain. Hint: Which shapes gives you more clay for less money?
Answer:
clay sphere gives more clay for less money
Step-by-step explanation:
Volume of cone=1/3πr^2h
=1/3*3.14*(9^2)*12
=1/3*3.14*81*12
=3,052.08/3
=1017.36 inches^3
Volume of a cyclinder=πr^2h
=3.14*(9^2)*12
=3.14*81*12
=3,052.08 inches^3
Volume of a sphere=4/3πr^3
=4/3*3.14*(9^3)
=4/3*3.14*(9^3)
=4/3*3.14*729
=9,156.24 / 3
=3,052.08 inches^3
Clay cone=$12
Clay cyclinder=$30
Clay sphere=$28
Which is the best to buy
Comparing volume
Volume of sphere=3,052.08 inches^3
Volume of cyclinder=3,052.08 inches^3
Volume of cone=1017.36 inches^3
Sphere and cyclinder both have the same volume which is 3 times more than volume of a cone
Clay sphere cost $28 which is cheaper than clay cyclinder at the same volume.
Therefore, clay sphere gives more clay for less money
HELPPPPP PLEASEEEE!!!!
Which system of inequalities represents region Z?
Answer:
Hey there!
The two lines in this graph are: y=-1/5x+2, and y=3x-2
Since y=-1/5x+2 is a dotted line, we know that we use the < or > symbols.
Since y=3x-2 is a straight line, we use the ≤ and ≥ symbols.
Thus, for area z, we have y<-1/5x+2, and y≥3x-2
Hope this helps :)
2 and 2/5 ÷ (− 1/4 ) = ?
Answer:
-9.6
Step-by-step explanation:
[tex]2\frac{2}{5} =2.40\\-\frac{1}{4} =-0.25[/tex]
If change them into decimals it looks like that.
Then all you have to do is use standard calculator to find the answer.
[tex]\frac{2.40 }{-0.25} =-9.6[/tex]
Answer:9 and 3/8
Step-by-step explanation:
you have to make 2 and 2/5 into an improper fraction then make the -1/4 into a -4/1 then multiply across to make 48/5 then you have to reduce down to 8 and 8/5. but that cant happen so you reduce again and get 9 and 3/8.
Use the given point on the terminal side of angle θ to find the value of the trigonometric function indicated.
Answer: 19) 117° 20) 53°
21) 229° 22) 119°
23) 155° 24) 323°
Step-by-step explanation:
Use Pythagorean Theorem to find r: x² + y² = r²
19) x = [tex]-\sqrt{17}[/tex] , y = 8, r = 9
[tex]\cos \theta=\dfrac{x}{r} \rightarrow \quad \cos \theta =\dfrac{-\sqrt{17}}{9} \rightarrow \quad \theta = cos^{-1}\bigg(\dfrac{-\sqrt{17}}{9}\bigg)\rightarrow \quad \theta = \large\boxed{117^o}[/tex]
20) x = 3, y = 4, r = 5
[tex]\cos \theta=\dfrac{x}{r} \rightarrow \quad \cos \theta =\dfrac{3}{5} \rightarrow \quad \theta = cos^{-1}\bigg(\dfrac{3}{5}\bigg)\rightarrow \quad \theta = \large\boxed{53^o}[/tex]
21) x = [tex]-\sqrt7[/tex], y = -3, r = 4
[tex]\sin \theta=\dfrac{y}{r} \rightarrow \quad \sin \theta =\dfrac{-3}{4} \rightarrow \quad \theta = sin^{-1}\bigg(\dfrac{-3}{4}\bigg)\rightarrow \quad \theta = \large\boxed{229^o}[/tex]
22) x = [tex]-\sqrt{15}[/tex], y = 7, r = 8
[tex]\tan \theta=\dfrac{y}{x} \rightarrow \quad \tan \theta =\dfrac{7}{-\sqrt{15}} \rightarrow \quad \theta = tan^{-1}\bigg(\dfrac{7}{-\sqrt{15}}\bigg)\rightarrow \quad \theta = \large\boxed{119^o}[/tex]
23) x = -13, y = 6, r = [tex]\sqrt{205}[/tex]
[tex]\tan \theta=\dfrac{y}{x} \rightarrow \quad \tan \theta =\dfrac{6}{-13} \rightarrow \quad \theta = tan^{-1}\bigg(\dfrac{6}{-13}\bigg)\rightarrow \quad \theta = \large\boxed{155^o}[/tex]
24) x = 4, y = -3, r = 5
[tex]\sin \theta=\dfrac{y}{r} \rightarrow \quad \sin \theta =\dfrac{-3}{5} \rightarrow \quad \theta = sin^{-1}\bigg(\dfrac{-3}{5}\bigg)\rightarrow \quad \theta = \large\boxed{323^o}[/tex]
For the point [tex](-\sqrt{17},8)[/tex], [tex]cos\theta=0.4581[/tex]
For the point [tex](3,4)[/tex], [tex]cos\theta=0.6[/tex]
For the point [tex](-\sqrt7,-3)[/tex], [tex]sin\theta=-0.75[/tex]
For the point [tex](-\sqrt{15},7)[/tex], [tex]tan\theta=-1.807[/tex]
For the point [tex](-13,6)[/tex], [tex]tan\theta=-0.4615[/tex]
For the point [tex](4,-3)[/tex], [tex]sin\theta=-0.6[/tex]
For ratios [tex]sin\theta[/tex] and [tex]cos\theta[/tex], we need to calculate the hypotenuse of the right-angled triangle. For the ratio [tex]tan\theta[/tex], we can directly make use of the coordinate points.
For the point [tex](-\sqrt{17},8)[/tex]
[tex]r=\sqrt{17+8^2}=9[/tex]
[tex]cos\theta=\dfrac{x}{r}\\\\=-\dfrac{\sqrt{17}}{9}\approx0.4581[/tex]
For the point [tex](3,4)[/tex]
[tex]r=\sqrt{3^2+4^2}=5[/tex]
[tex]cos\theta=\dfrac{x}{r}\\\\=\dfrac{3}{5}=0.6[/tex]
For the point [tex](-\sqrt7,-3)[/tex]
[tex]r=\sqrt{7+(-3)^2}=4[/tex]
[tex]sin\theta=\dfrac{y}{r}\\=-\dfrac{3}{4}=-0.75[/tex]
For the point [tex](-\sqrt{15},7)[/tex]
[tex]tan\theta=\dfrac{y}{x}\\=-\dfrac{7}{\sqrt{15}}=-1.807[/tex]
For the point [tex](-13,6)[/tex]
[tex]tan\theta=\dfrac{y}{x}\\=-\dfrac{6}{13}=-0.4615[/tex]
For the point [tex](4,-3)[/tex]
[tex]r=\sqrt{4^2+(-3)^2}=5[/tex]
[tex]sin\theta=\dfrac{y}{r}\\=-\dfrac{3}{5}=-0.6[/tex]
Learn more about trigonometry here: https://brainly.com/question/23686339
PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASEEEEEEEEEE AND DO NOT LOOK IT UP ON ANY SOURCE THANK YOU AND ILY
Answer:
Jesse
Step-by-step explanation:
Everyone except for Jesse and Trey asked other grades but Jesse and Trey was the only one that asked 6th graders. The reason why I thought Trey might be biased is he asked HIS class while Jesse asked random people.
Hope this helped! :)
For cleaning the attic Jasmine was given $10.15. Now she has $23.43. How much money did she have before?
Answer:
13.28
Step-by-step explanation:
Take the total amount she has and subtract what she just earned
23.43 - 10.15
13.28
This is what she had before she started cleaning
Answer:
Step-by-step explanation:
23.43 - 10.15= 13.28 $
PLZ HELP ME NEED THIS FAST WILL GIVE BRAINLIEST
Answer: l = 60 ft and w = 30 ft
P = 2(l + w)
180 = 2(l + w)
Let x = width of his yard
Let 2x = length of his yard
[tex]180=2(2x+x)[/tex]
[tex]\frac{180}{2}=\frac{2(2x+x)}{2}[/tex]
[tex]90=3x[/tex]
[tex]\frac{90}{3} =\frac{3x}{3}[/tex]
[tex]x=30ft[/tex]
l = 2x = 30(2) = 60 ft
Check:
180 = 2(l + w)
180 = 2(60 + 30)
180 = 2(90)
180 = 180
LS = RS