Answer:
101.58 in
Step-by-step explanation:
The ramp r is the hypotenuse of a right triangle with the ground and 28 in height being the legs.
The angle of elevation 16° is the angle inside the triangle opposite the 28 in height.
Using the sine ratio in the right triangle, then
sin16° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{28}{r}[/tex] ( multiply both sides by r )
r × sin16° = 28 ( divide both sides by sin16° )
r = [tex]\frac{28}{sin16}[/tex] ≈ 101.58 in
Answer:
The 3rd answer
Step-by-step explanation:
A gym for diabetes is offering a deal to new members. Customers can sign up by paying a registration fee of $250 and a monthly fee of $42. Which of the
following models the membership cost?
Answer:
the following model the membership cost is p=250+42m
11. Write the equation of the line in slope-intercept form that is parallel to the line y = - 4x + 2 and
passes through (2-4)
Answer:
y= -4x
Step-by-step explanation:
hope this helps and lmk if you need anything!
In a game the average score was 60 time score was 5/2 of the average what was Tim’s score?
Answer:
in my own reasoning not sure if I am correct
Step-by-step explanation:
first it said Tim score was 5/2 of the of the average score
and the average score is 60
so that will be 5/2 × 60 which is
= 150
how to find the angel in trigonometry when all the lengths of the right angled triangle already given.
Answer:
The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle
Use rule ; SOHCAHTOA .Where sin x = opp/hyp
cos x = adj/hyp
tan x= opp/adj
Substitute the given values for the three sides
into any of the above rules
[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]
Step-by-step explanation:
I Hope It Helps :)
How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?
Answer:
I guess that we want to create 4 digit numbers that are divisible by 5, only using the odd numbers in the image.
We know that a number is divisible by 5 only if the last digit (the units digit) is a zero or a five, in the image we only have a five, so our 4-digit numbers need to end with a five, so we have a digit fixed in five and the other 3 digits can be other numbers.
We have two different approaches to this:
First, if each odd number can be used only once, we already used the five, so we can use the other 4 numbers.
Then, for the first digit, we have 4 options.
for the second digit, we have 3 options (because we already used one)
for the third digit, we have 2 options (because we already used 2)
then the number of combinations is equal to the product of the number of options for each selection:
C = 4*3*2 = 24 combinations.
The second approach is If the numbers in the image can be repeated (for example, 5555 or 3435 are allowed)
we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third, we also have 5 options, then, with the same reasoning as above, we have:
C = 5*5*5 = 25*5 = 125 combinations.
Which of the following represents a rotation of triangle XYZ, which has vertices (-4,7), Y(6,2), and Z (3,-8) about the origin by 90 degrees? HELP PLS options: A: X (-7,-4) Y(6,-2) Z(-8,3) B: X(7,-4) Y(-2,6) Z (3,-8) C: X (-7,-4) Y(-2,6) Z (8,3) D: X(7,-4) Y (-2,6) Z (-3,8)
Answer:
The best option is B: X' = (-7,-4), Y' = (-2,6), Z'=(8, 3).
Step-by-step explanation:
Each vertex can be represented as a vector with regard to origin.
[tex]\vec X = -4\cdot i + 7\cdot j[/tex], [tex]\vec Y = 6\cdot i + 2\cdot j[/tex] and [tex]\vec Z = 3\cdot i -8\cdot j[/tex].
The magnitudes and directions of each vector are, respectively:
X:
[tex]\|\vec X\| = \sqrt{(-4)^{2}+7^{2}}[/tex]
[tex]\|\vec X\| \approx 8.063[/tex]
[tex]\theta_{X} = \tan^{-1}\left(\frac{7}{-4} \right)[/tex]
[tex]\theta_{X} \approx 119.744^{\circ}[/tex]
Y:
[tex]\|\vec Y\| = \sqrt{6^{2}+2^{2}}[/tex]
[tex]\|\vec Y\| \approx 6.325[/tex]
[tex]\theta_{Y} = \tan^{-1}\left(\frac{2}{6} \right)[/tex]
[tex]\theta_{Y} \approx 18.435^{\circ}[/tex]
Z:
[tex]\|\vec Z\| = \sqrt{3^{2}+(-8)^{2}}[/tex]
[tex]\|\vec Z\| \approx 8.544[/tex]
[tex]\theta_{Z} = \tan^{-1}\left(\frac{-8}{3} \right)[/tex]
[tex]\theta_{Z} \approx 290.556^{\circ}[/tex]
Now, the rotation consist is changing the direction of each vector in [tex]\pm 90^{\circ}[/tex], which means the existence of two solutions. That is:
[tex]\vec p = r \cdot [\cos (\theta \pm 90^{\circ})\cdot i + \sin (\theta \pm 90^{\circ})\cdot j][/tex]
Where [tex]r[/tex] and [tex]\theta[/tex] are the magnitude and the original angle of the vector.
Solution I ([tex]+90^{\circ}[/tex])
[tex]\vec p_{X} = 8.063\cdot [\cos (119.744^{\circ}+90^{\circ})\cdot i + \sin (119.744^{\circ}+90^{\circ})\cdot j][/tex]
[tex]\vec p_{X} = -7\cdot i -4\cdot j[/tex]
[tex]\vec p_{Y} = 6.325\cdot [\cos(18.435^{\circ}+90^{\circ})\cdot i+\sin(18.435^{\circ}+90^{\circ})\cdot j][/tex]
[tex]\vec p_{Y} = -2\cdot i +6\cdot j[/tex]
[tex]\vec p_{Z} = 8.544\cdot [\cos(290^{\circ}+90^{\circ})\cdot i +\sin(290^{\circ}+90^{\circ})\cdot j][/tex]
[tex]\vec p_{Z} = 8.029\cdot i +2.922\cdot j[/tex]
Solution II ([tex]-90^{\circ}[/tex])
[tex]\vec p_{X} = 8.063\cdot [\cos (119.744^{\circ}-90^{\circ})\cdot i + \sin (119.744^{\circ}-90^{\circ})\cdot j][/tex]
[tex]\vec p_{X} = 7\cdot i +4\cdot j[/tex]
[tex]\vec p_{Y} = 6.325\cdot [\cos(18.435^{\circ}-90^{\circ})\cdot i+\sin(18.435^{\circ}-90^{\circ})\cdot j][/tex]
[tex]\vec p_{Y} = 2\cdot i -6\cdot j[/tex]
[tex]\vec p_{Z} = 8.544\cdot [\cos(290^{\circ}-90^{\circ})\cdot i +\sin(290^{\circ}-90^{\circ})\cdot j][/tex]
[tex]\vec p_{Z} = -8.029\cdot i -2.922\cdot j[/tex]
The rotated vertices are: i) X' = (-7,-4), Y' = (-2,6), Z'=(8.029, 2.922) or ii) X' = (7,4), Y' = (2,-6), Z' = (-8.029, -2.922). The best option is B: X' = (-7,-4), Y' = (-2,6), Z'=(8, 3).
this diagram shows a scale drawing of a playground the scale is ___ 1:500 work out the perimeter of the real playground give your answer in meters
Answer:
The perimeter of the actual playground is 22000 units
Step-by-step explanation:
By measurement, the width of the scale drawing = 16 units
The breadth of the scale drawing = 6 units
Therefore, given that the scale is 1:500, we have that the actual dimensions of the playground are;
Actual width of the playground = 500×16 = 8,000 units
Actual breadth of the playground = 500×6 = 3,000 units
Therefore;
The perimeter of the actual playground = 2 × 8000 + 2 ×3000 = 22000 units.
What is the value for y? Enter your answer in the box. y = An isosceles triangle A B C with horizontal base A B and vertex C is below the base. Side A C and C B are labeled with single tick mark. All the three angles are labeled. Base angles C A B is labeled as 34 degrees and angle C B A is labeled as left parenthesis x minus 5 right parenthesis degrees. The angle A C B is labeled as 4y degrees.
Answer:
28.
Step-by-step explanation:
I just did the question and I got it right. The answer above is right. The image below is where I did the question and has the picture attached next to it too.
*And I accidentally clicked the one star option, that's why it has such a low score.
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
The value of y is 28.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
m∠CAB = 34
m∠CBA = x - 5
m∠ACB = 4y
Triangle ABC is an isosceles triangle.
AC and BC are sides are equal.
This means,
m∠CAB = m∠CBA
34 = x - 5
34 + 5 = x
x = 39
Now,
The sum of the angles in a triangle is 180 degrees.
This means,
34 + (x -5) + 4y = 180
34 + (39 - 5) + 4y = 180
34 + 34 + 4y = 180
68 + 4y = 180
4y = 180 - 68
y = 112 / 4
y = 28
We can cross-check.
34 + 34 + 4 x 28 = 180
34 + 34 + 112 = 180
180 = 180
Thus,
The value of y is 28.
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Which expression is equivalent to
Answer:
Option 2) [tex]x^{\frac{1}{8}}y^8[/tex]
Step-by-step explanation:
=> [tex](x^{\frac{1}{4} } y ^{16} )^\frac{1}{2}[/tex]
=> [tex]x^{\frac{1}{4} * \frac{1}{2} } * y ^{16*\frac{1}{2} }[/tex]
=> [tex]x^{\frac{1}{8}}y^8[/tex]
Which compound inequality can be used to solve the inequality 13x+2 >7?
RE
-7 <3x+2> 7
ОООО
-7> 3x+2> 7
3x + 2 >-7 or 3x + 2 >7
3x + 2<-7 or 3x + 2 >7
Answer:
(D)[tex]3x+2 < -7$ or $3x+2 >7[/tex]
Step-by-step explanation:
Given the absolute inequality: [tex]|3x+2| >7[/tex]
When solving absolute inequalities, if the problem has a greater than sign we set up an "OR" compound inequality that looks like this:
(Expression inside absolute value) < - (number on other side) OR (Expression inside absolute value) > (number on other side)Therefore, for the absolute inequality |3x+2| >7, we have:
[tex]3x+2 < -7$ or $3x+2 >7[/tex]
The correct option is D.
The graph below shows a line of best fit for data collected on the number of toys sold at a toy store since the opening of the store. Based on the line of best fit, how many toys were sold 13 days after the store opened?
A.) 195
B.) 260
C.) 325
D.) 130
The answer that line of best fit, how many toys were sold 13 days after the store opened is A.) 195
What is the height of the prsim if there is 3 meters,2 meters, and the volume is 36 cublic meters
Answer: The height is 6 meters
Step-by-step explanation:
3 * 2 *h = 36 where h is the height
6h = 36
h = 6
Answer:
The answer is 6
Step-by-step explanation:
Because you would have to get 6h=36 alone so you would have to divide 6 by both sides. which gives you h=6
What are the values of sin α and tan α, if α is an acute angle in a right triangle: cosα= 5/13
Answer:
sin = 12/13 and tan = 12/5
The value of sin α will be 12/13 and tan α will be 12/5 for the given triangle such that cosα= 5/13.
What is a trigonometric function?Trigonometric functions are functions for right angle triangle which gives the relation between the angle and sides of the triangle.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
The trigonometric functions are found in the four quadrants, as well as their graphs, domains, and differentiation and integration.
We know that
sin²α + cos²α =1 ⇒ sin²α = 1 - cos²α
Given that cosα = 5/13 so by putting it
sin²α = 1 - (5/13)²
sin²α = 144/169 ⇒ sinα = 12/13.
Now since tanα = sinα /cosα
tanα = (12/13) ÷ ( 5/13)
tanα = 12/5.
Hence the value of sinα will be 12/13 and tanα will be 12/5.
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Trig work i don’t understand. pls help
Answer: A
Step-by-step explanation:
So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.
To find H we need to apply trigonometry solve for h the height.
As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is going to be using the sin formula opposite over hypotenuse.
[tex]sin(26)=\frac{h}{25}[/tex] solve for h by multiplying both sides by 25.
h= 25 sin(26)
h= 10.96 is being rounded to the nearest hundredth because that is essential
Now we know H is equal to 10.96 which is the Height so now we have all the information we need the height and the base.
Multiply 10.96 by 32 and divide it by 2.
10.96 * 32 = 350.72
350.72 /2 = 176.36
The best answer is A because that is the only best approximation to 175.35.
the
square
(5x² + 6xy)²
is
Answer:
[tex] {25x}^{4} + 60 {x}^{3} y + 36 {x}^{2} {y}^{2} [/tex]
Step-by-step explanation:
[tex](5 {x}^{2} )^{2} + 2 \times 5 {x}^{2} \times 6xy + (6xy)^{2} [/tex]
Gives the above answer
Answer:
in the picture
Step-by-step explanation:
The points A (-3, b), and B (1, 3) are 5 units apart. Find the value of b.
Answer:
b = 0
Step-by-step explanation:
To find the value of b, we will follow the steps below;
Using the distance formula:
D = √(x₂-x₁)² + (y₂-y₁)²
from the question given,
A (-3, b), this implies
(-3, b) = (x₁ ,y₁)
x₁=-3 and y₁ = b
similarly
B (1, 3)
(1, 3) = (x₂,y₂)
this implies
x₂ = 1 and y₂=3
D= 5
we can now proceed to insert the values into the formula and then solve for b
D = √(x₂-x₁)² + (y₂-y₁)²
5 = √(1+3)² + (3-b)²
5 = √4² + (3-b)²
5=√16 + (3-b)²
take the squares of both-side of the equation
5² = 16 + (3-b)²
25 = 16 + (3-b)²
subtract 16 from both-side of the equation
25 - 16 = (3-b)²
9 = (3-b)²
Take the square root of both-side
√9 = 3-b
3 = 3-b
add b to both-side of the equation
3 + b = 3 - b+ b
3 + b = 3
subtract 3 from both-side of the equation
3+b-3 = 3-3
b = 0
Therefore, the value of b is 0
Graph the relation shown in the table. Is the relation a function? Why or why not? {(-1, 9), (0, -1), (-1, 4), (4, 9)}
Answer:
Not a function
Step-by-step explanation:
For an equation to be a function, there should be only one y-coordinate per x-coordinate. Since this relation has both (-1,9) and (-1,4), this is not a function.
Answer:not a function
Step-by-step explanation:
because when you put the points on the coordinate plane your shape will come out as a v shaped object. In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers
Simplify this expression: 19 - (-8) - (-14) = ? A. 41 B. 25 C. -7 D. -3
Answer:
A. 41
Step-by-step explanation:
19 - (-8) - (-14) =
19+8+14
Remember: Two negatives=One positive ;)
27+14
41
A. 41
Answer:
[tex]\mathrm{A.} \: 41[/tex]
Step-by-step explanation:
[tex]19 - (-8) - (-14)[/tex]
[tex]\mathrm{Apply \: rule:} \: -(-a)=a[/tex]
[tex]19+8+14[/tex]
[tex]\mathrm{Add \: the \: numbers.}[/tex]
[tex]=41[/tex]
AWARDING BRAINIEST
Find the perimeter of the following shape, rounded to the nearest tenth:
a coordinate plane with quadrilateral ABCD at A negative 2 comma 0, B 0 comma negative 2, C negative 3 comma negative 5, D negative 5 comma negative 3
A) 10
B) 11.3
C) 12
D) 14.1
The question is in the image below.
The fourth:
The second equation in system 2 is the difference of the equations in system 1. The first equation in system 2 is the first equation in system 1.
Ax + By - (Lx + My) = Ax + By - Lx - My = (A - L)x + (B - M)y
Answer:
The answer is __
because of __
Step-by-step explanation:
the area of a rectangular sandbox can be expressed as 72xy + 18x the width of the sandbox is 9x what is the perimeter of the sandbox
Answer:
18x +16y +4
Step-by-step explanation:
The area is the product of length and width, so the length is ...
A = LW
L = A/W = (72xy +18x)/(9x) = 8y +2
The perimeter is double the sum of length and width:
P = 2(L +W) = 2(8y +2 +9x)
P = 18x +16y +4 . . . . the perimeter of the sandbox
Can any of y’all help me with this problem?
Answer:
90º clockwise rotation
Step-by-step explanation:
The rotation is a 270º counterclockwise rotation, since 270º rotation is
(x, y) → (y, -x)
F(1, 3) → (3, -1)
270º counterclockwise rotation is the same as a 90º clockwise rotation, so the answer is 90º clockwise rotation.
4.- En una pastelería han preparado 30 pasteles. Los van a colocar en bandejas de forma que en cada bandeja haya el mismo número de pasteles y no sobre ninguno. ¿De cuántas formas los puede colocar?
Answer:
7 formas
Step-by-step explanation:
En la pastelería, se han preparado 30 pasteles.
Cada bandeja contendrá la misma cantidad de pasteles.
Para encontrar de cuántas maneras puedes ponerlos, tenemos que encontrar los factores de 30. Ellos son:
1, 2, 3, 5, 6, 10, 15, 30
Esto significa que podemos tener:
30 bandejas que contienen 1 bandeja cada una
15 bandejas con 2 tortas cada una
10 bandejas con 3 tortas cada una
6 bandejas con 5 tortas cada una
5 pasteles que contienen 6 pasteles cada uno
3 bandejas con 10 pasteles cada una
2 bandejas con 15 tortas cada una
Esto significa que hay 7 formas de colocar los pasteles.
between which to whole numbers does the square root of 37 lie?
Between 6 and 7
6×6=36
7×7=49
hopefully this helped
The number √37 is lies between whole numbers 6 and 7.
We have to given,
A number is, √37
By the definition of square root, we get;
⇒ √37 = 6.08
And, We know that,
Number 6.08 is lies between whole number 6 and 7.
Hence, We get;
⇒ 6 < √37 < 7
Therefore, The number √37 is lies between whole numbers 6 and 7.
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Which equations represent a line that passes through the points given in the table? Check all that apply. y – 2 = –6(x + 10) y – 2 = –(x + 10) y – 1 = –(x + 4) y = –6x – 58 y = –x + y = –x + 5
Answer: b, c, and e
Step-by-step explanation:
I hope I helped
The standard form of the equation of straight line is given by
y - 1 = -1/6(x + 4)
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have a table as given in the image attached at the end of answer.
The slope of the line will be -
m = (y₂ - y₁)/(x₂ - x₁)
m = (1 - 2)/(- 4 + 10)
m = - 1/6
The standard form of the equation of straight line is given by -
y - y₂ = m(x - x₂)
y - 1 = -1/6(x + 4)
Therefore, the standard form of the equation of straight line is given by
y - 1 = -1/6(x + 4)
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[Refer to the image attached for complete question]
first chance you get the best marks
Answer:
First box and last box.Step-by-step explanation:
It is the first box.Distribute 7 to the first number
7 * -3/4 = -21/4
-21/4 = 5 -1/4
Distribute 7 to the second number
7 * -3
= -21
Put the numbers together
5 -1/4x -21 is the answer.It is also the last box.They separated the parenthesis.
So it is still 7 * -3/4
and
7*-3.
Hope this helps,
Kavitha
3. 10 + (8 x 3) - 32
Answer:
[tex]2[/tex]
Step-by-step explanation:
In order to find the answer to this question use PEMDAS and solve.
[tex]10+(8\times3)-32[/tex]
P goes first:
[tex]8\times3=24[/tex]
[tex]10+24-32[/tex]
A goes next:
[tex]10+24=34[/tex]
S goes last:
[tex]34-32=2[/tex]
[tex]=2[/tex]
Hope this helps.
Answer:
2
Step-by-step explanation:
10 + (8 x 3) - 32
So I’m assuming the x represents multiplication
10 + (8*3) - 32
In Pemdas parenthesis is always first
(8*3)=24
10+24-32
Then addition
10+ 24=34
34-32=2
If, 3a/b= 12 what is the value of (-a/-b)
Answer:
A ; -4
Step-by-step explanation:
3a = 12b then a = 4b (dividing by 3)
we put 4b in the equation instead of a:
(-4b / b) = -4
.. ..
Answer:
A. -4
Step-by-step explanation:
3a/b = 12
Let b = 2
3a/2 = 12
3a = 24
a = 8
( - a/b)
( - 8/2)
( - 4)
simplifica: 49/90, se puede????
Answer:
49/90 is simplified
Step-by-step explanation:
Answer:
Step-by-step explanation:
49/90
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
Option (D)
Step-by-step explanation:
Function in red is,
f(x) = x²
When a function f(x) is translated h units to the left, rule to be followed,
f(x) → f(x + h)
If the function is translated 2 units left,
Translated function (in blue) will be,
g(x) = (x + 2)²
Option (D) will be the answer.