Answer: x = 11.6
Step-by-step explanation: 11.6 - 7.5 = 4.1
Justin was asked to write equations based on the triangle below. So far he has come up with the following equations: Which of the following would be another correct equation?
Answer:
C: tan 60 = √3
Step-by-step explanation:
Let the adjacent part of the triangle be x and let the opposite side be y.
Thus, from trigonometric ratios;
x/10 = cos 60
We are given cos 60 = ½
Thus;
x/10 = ½
x = ½ × 10
x = 5
Similarly;
y/10 = sin 60
Now,from trigonometric relationship we know that; sin 60 = cos 30. Thus;
y/10 = cos 30
We are given cos 30 = (√3)/2
Thus;
y/10 = (√3)/2
y = 10 × (√3)/2
y = 5√3
Since it is a right angle triangle with one angle being 60°, it means the other one is 30° since sum of angles in a triangle is 180°.
Thus;
5/(5√3) = tan 30°
1/√3 = tan 30
Similarly;
5/10 = sin 60°
sin 60° = ½
Also;
tan 60 = (5√3)/5
tan 60 = √3
Also;
sin 30 = 5/10
sin 30 = ½
Looking at the options, the only correct one is Option C
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answer:
77
Step-by-step explanation:
i took the test
Answer:
c
Step-by-step explanation:
The perimeter of the original rectangle is ______
The side length of the enlarged rectangle is ________
The perimeter of the enlarged rectangle is________
Answer:
perimter of original rectangle = 17. 6 mmside length of the enlarged rectangle = 23. 22 mmperimeter of the enlarged rectangle = 95. 04 mmStep-by-step explanation:
PERIMETER OF ORIGINAL RECTANGLE
Length of original rectangle = 4.5 mmWidth of original rectangle = 4.3 mmperimeter = 2 × ( length + width)
= 2 × ( 4.5 + 4.3)
= 2 × 8.8
= 17. 6 mm
SIDE LENGTH OF ENLARGED RECTANGLE
Width of original rectangle = 4. 5 mm Width of enlarged rectangle = 24.3 mmEnlargement factor = 24.3 / 4.5
= 5.4
Length of original rectangle = 4.5 mm Enlargement factor = 5.4Side length of enlarged rectangle
= original length × Enlargement factor
= 4.3 × 5.4
= 23. 22 mm
PERIMTER OF ENLARGED RECTANGLE
= 2 × ( enlarged ength + enlarged breadth)
= 2 × (23. 22 + 24. 3 )
= 95. 04 mm
Select the correct answer.
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the
y variable, and what is the solution for this system?
x+3y= 42
2x - y = 14
OA. Multiply the second equation by-3. The solution is x= 12, y=9.
OB. Multiply the second equation by -2. The solution is x = 12, y=10.
OC. Multiply the second equation by 2. The solution is x = 15, y = 9.
OD. Multiply the second equation by 3. The solution is x = 12, y = 10.
Answer:
Multiply the second equation by 3. The solution is x = 12, y = 10.
Step-by-step explanation:
The given equations are :
x+3y= 42 ....(1)
2x - y = 14 ...(2)
For elimination method,
Multiply the second equation by 3.
6x-3y=42 .....(3)
Adding equations (1) and (3).
x+3y+6x-3y=42+42
7x = 84
x = 12
Put the value of x in equation (1).
12+3y= 42
3y = 30
y = 10
So, x = 12 and y = 10. Hence, the correct option is (d).
Work out the value of
[tex]2 ^{3}x2 [/tex]
Answer:
Answer is 12
Step-by-step explanation:
ok 3x2=6 1ñ 2 12
ok 3
MAGALI COMPRAR 15 CHOCOLATES A $0,75 CADA UNA , Y 13 PAQUETES DE GALLETAS A $ 1,25 CADA UNO ¿CUANTO DEBBE PAGAR?
Answer:
The total amount paid is $ 27.5.
Step-by-step explanation:
MAGALI BUY 15 CHOCOLATES AT $ 0.75 EACH ONE, AND 13 PACKAGES OF COOKIES AT $ 1.25 EACH, HOW MUCH SHOULD I PAY?
Number of chocolates = 15
Cost of a chocolate = $ 0.75
Packet of cookies = 13
cost of one packet of cookie = $ 1.25
The total amount paid is
= 15 x $ 0.75 + 13 x $ 1.25
= $ 11.25 + $ 16.25
= $ 27.5
express 3432 as a product of its prime factors
Answer:
2³ × 3 × 11 × 13
Step-by-step explanation:
By prime factorisation,
→ 3432 = 2 × 2 × 2 × 3 × 11 × 13
→ 3432 = 2³ × 3 × 11 × 13
Fred is five times as old as Grace. In eight years time, Fred will be three times as old as Grace. What are their ages?
Step-by-step explanation: in the question it is given that, Fred is five times as old as Grace, it means that the present age of Fred is 5 times the age of Grace. in the solution we have assumed Grace age to be X years. if Grace age is X years then the age of Fred is five times that of Greece age that is 5x years. now it is given in the question that in 8 years of time Fred's age will be three times as old as Grace. as it is given in the question as 8 years then it means that we have to add 8 years to both the present age of grace as well as Fred's age. now if we'll add 8 years in both grace age and frads age then it will be X + 8 years and 5 x + 8 years respectively. now it is said that in 8 years of time Fred's age will be three times of grace age. now to make it equal we have to put that three times in Grace age, so that three times of grace age will be equal to Fred's age. then you simply need to solve the equation As given in the solution then we will get X equal to 8. we have got Grace present age to be 8 years and Fred's present age to be 40 years uhmmmmmmmmmmmmmm i hope this hepls you do your work :D
C. Identify the following as a constant, linear, or absolute value
function and tell the shape of each.
Answer:
here is the answer bae. Feel free to ask for more
Answer:
5. Is linear
6. absolute value function
Step-by-step explanation:
what is the solution set of these system5x-2y=17 and 4x-7=13?
Answer:
x=5
y=4
Step-by-step explanation:
Step 1:
Let us solve for x using the [tex]4x-7=13[/tex] equation by isolating terms containing the variable:
[tex]4x-7=13\\4x=20\\\fbox{x=5}[/tex]
Great! x is 5... let's find y.
Step 2:
Since we know the value of x, we can use what we know to find y using the other equation:
[tex]5x-2y=17\\[/tex]
Given that x=5, we can replace x with 5.
[tex]5*5-2y=17\\25-2y=17\\2y=8\\\\\fbox{y=4}[/tex]
I hope this helps! Let me know if you have any questions :)
In triangle RST, angle R is a right angle. If TR = 6 and TS = 8, what is the length of RS
Answer:
RS = 2[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
RS² + RT² = TS² , that is
RS² + 6² = 8²
RS² + 36 = 64 ( subtract 36 from both sides )
RS² = 28 ( take the square root of both sides )
RS = [tex]\sqrt{28}[/tex] = [tex]\sqrt{4(7)}[/tex] = 2[tex]\sqrt{7}[/tex] ≈ 5.3 ( to 1 dec. place )
they have 46 row in a theater. there are 42 seats and 50 seats empty calculate how many person was watching the show.
Answer:
8 people watched the show
Step-by-step explanation:
50 - 42 = 8
How much longer is path c than path d?
Answer:
1000
Step-by-step explanation:
the math
Please answer this correctly .
Answer:
Ummm We Know A triangle Degrees Is ( in total) 180*
SO If 30* is one side then it's 30* - 180 = 150 split that and you have 125 and 125 for the last 2 side hope it helps
平和
what's the explicit formula for 5,10,15,20,25,30
Answer:
[tex]a_{n}[/tex] = 5n
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 10 - 5 = 15 - 10 = 20 - 15 = 25 - 20 = 30 - 25 = 5
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 5 , then
[tex]a_{n}[/tex] = 5 + 5(n - 1) = 5 + 5n - 5 = 5n
If Albert owns x model airplanes and Maxim owns x + 13 model airplanes, then Albert and Maxim own___ model airplanes together. Albert owns ___ less model airplanes than Maxim.
Answer:
2x + 13
13
Step-by-step explanation:
Albert and Maxim own
x + (x + 13) = 2x + 13 model airplanes together
Albert owns
(x + 13) - x = 13 less model airplanes than Maxim.
Answer:
They own 2x+13 model airplanes together
Albert owns 13 less model airplanes than Maxim
what is the solution to the system of equations?
2x-3y-z=-6,
4x-y-z=-2
-x+2y-2z=-9
Answer:
x=7/13, y=19/13, z=74/13
Step-by-step explanation:
Add or subtract multiples of equations to eliminate one variable. I picked z to eliminate.
Subtract the 1st equation from the 2nd equation.
2x + 2Y = 4 or x + y = 2 or y = -x + 2, then
Multiple the 2nd equation by 2 and subtract the 3rd equation.
9x - 4y = 5 then sub (-x + 2) for y from previous step.
9x - 4(-x +2) = 5
13x -2 = 5
13x = 7
x = 7/13
plug that into either of the step 1 equations to gey y.
y = -x + 2
y = -7/13 + 2
y = 19/13
then plug the found x and y into any one of the original equations to get z.
-x + 2y - 2z = -9
-7/13 + 2(19/13) - 2z = -9
31/13 - 2z = -9
-2z = -9 - 31/13
-2z = -117/13 - 31/13 = -148/13
z = 74/13
if the radius is 91cm what would be the diameter and circumference?
Answer:
C=3.14*91
D=91*2
C=285.74
D=182
Hope This Helps!!!
what is the proper seperation of factors for this equation ∛24n² × ∛36n²
Answer:
[tex]{ \tt{ \sqrt[3]{24 {n}^{2} } \times \sqrt[3]{36 {n}^{2} } }} \\ = { \tt{( {n}^{ \frac{2}{3} })( \sqrt[3]{864}) }}[/tex]
What is the answer of
Step-by-step explanation:
here is the answer babe. Feel free to ask for more
Answer: - 1.
Step-by-step explanation:
[tex]\frac{\dfrac{x+y}{x-y} }{\dfrac{y+x}{y-x} } =\dfrac{x+y}{x-y} \div \dfrac{y+x}{y-x}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{x+y}{x-y} \times \dfrac{y-x}{y+x}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{x+y}{x-y} \times \dfrac{-(x-y)}{x+y}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{-(x+y)(x-y)}{(x-y)(x+y)} \\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = -1[/tex]
Find the surface area of a cylinder with a height of 9 ft and a base diameter of 8 ft.
Use the value 3.14 for n, and do not do any rounding.
Be sure to include the correct unit.
Answer:
326.56 square feet
Step-by-step explanation:
Surface area of a cylinder = 2πrh + 2πr²
Radius = Diameter/2
= 8 ft/2
= 4 ft
Height = 9 ft
Surface area of a cylinder = 2πrh + 2πr²
= (2 * 3.14 * 4 * 9) + (2 * 3.14 * 4²)
= 226.08 + 100.48
= 326.56 square feet
Surface area of a cylinder = 326.56 square feet
Josh graphed the function f(x)=-3(x-1)^2 +2. He then graphed the function g(x)=-3(x-1)2 -5 on the same coordinate plane. The vertex of g(x) is
Answer:
the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x)
Step-by-step explanation:
The vertex form of a quadratic equation is y = a(x - h)^2 + k. (h, k) represents the vertex.
Comparing the given f(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = 2.
Comparing the given g(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = -5.
Thus, the x-coordinates of the vertex in both cases are the same: 1. The y-coordinates differ: for f(x), k = 2. and for g(x), k = -5.
Changing the k value translates the graph up or down.
In this case we see that the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x).
What is the first step when factoring the trinomial .,
Answer:
Step 1: Set up a product of two ( ) where each will hold two terms. Step 2: Find the factors that go in the first positions. Step 3: Find the factors that go in the last positions. We need two numbers whose product is 9 and sum is 2.p explanation:
Answer:
A❤️✌️❤️✌️❤️Aaaaaa
Convert 3.5 ⋅ 104 to standard form.
Answer:
In standard notation [tex]3.5 \times 10^4 = 35000[/tex]
In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of 10.
----------------
If it was 3.5 x 104 it would equal 350.
find the value of (1) sin 60°+cis 30°/ tan 30°*tan 60°
Answer:
sin60°+cos30/tan30*tan60
1/2+√3/2/1
1+√3/2
HELP FAST
1. Find the missing angle measurements.
2. Describe how you found the missing angle measurements.
3. List all angle relationships.
4. Identify which angle relationships are Supplementary or Equal.
Answer:
Angle 1: 145 degrees
Angle 2: 35 degrees
Angle 3: 145 degrees
Angle 4: 35 degrees
Angle 5: 145 degrees
Angle 6: 35 degrees
Angle 7: 145 degrees
Angle 8: 35 degrees
Step-by-step explanation:
1) See above.
2) Angles 4 and 2 are equal, because they are vertical angles (share a vertex) where two parallel lines are cut by a transversal (line c?)
Angles 1 and 2 equal 180 degrees when added together, so 180 - 35 = 145, which is the measure of angle 1.
Angles 1 and 3 are also vertical, and therefore equal.
When two or more lines are cut by a transversal, the angles that are in the same relative position are corresponding angles.
When the lines are parallel, the corresponding angles are congruent.
Congruent angles are equal. So Angle 1 = Angle 5 and Angle 2 = Angle 6. Then the rules for vertical angles apply again, giving you the measures for angles 7 and 8.
3) 1 and 3 are vertical, 2 and 4 are vertical, 5 and 7 are vertical, 6 and 8 are vertical.
1 and 5 are corresponding, 2 and 6 are corresponding, 3 and 7 are corresponding, 4 and 8 are corresponding.
4) 1 and 2, 3 and 4, 5 and 6, 7 and 8 are all supplementary pairs.
1 and 4, 2 and 3, 5 and 8, and 6 and 7 are supplementary pairs.
1 and 3, 2 and 4, 5 and 7, 6 and 8 are equal pairs because they are vertical.
1 and 5, 2 and 6, 3 and 7, 4 and 8 are equal pairs because they are corresponding.
Hopefully this covers all they wanted.
son las partes de las que se compone el reporte de la encuesta:
A)lnicio, desarrollo y fin.
B) lntroduccion, desarrollo y conclusiones.
C ) Entrada,cuerpo y cierre
D )Ninguno de los anteriores
Answer:
Na dimio reso
Ta pidi yo
Era olvida yo contigo
Step-by-step explanation:
there's no explanation
What are the factors of x2 – 100?
Answer:
(x - 10)(x + 10)
Step-by-step explanation:
x² - 100 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
x² - 100
= x² - 10²
= (x - 10)(x + 10)
area of a parallelogram with a base of 7cm and a perpendicular height of 9 cm
Answer:
63
Step-by-step explanation:
A=bh=7·9=63
base times perpendicular height
Answer:
63
Step-by-step explanation:
7x9=63
you copied my answer on a different question.
and literally copied and pasted it and it's so obvious and i saw u change it
perimeter: ______ cm
area: _______ cm squared
Answer:
perimeter: 29 cm
Area: 49.5 cm^2
Step-by-step explanation:
perimeter is 9.5 + 6 + 7 + 6.5 = 29
Area: 7 * 6 = 42
9.5 - 7 = 2.5
2.5 * 6 = 15
15/2 = 7.5
42 + 7.5 = 49.5