Find the measure of "theta". Round all answers to the nearest tenth.
Answer:
[tex]\displaystyle \theta \approx 36.4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ
Opposite Leg = 31
Adjacent Leg = 42
Step 2: Find Angle
Substitute in variables [tangent]: [tex]\displaystyle tan(\theta) = \frac{31}{42}[/tex]Inverse Trig: [tex]\displaystyle \theta = tan^{-1}(\frac{31}{42})[/tex]Evaluate: [tex]\displaystyle \theta = 36.4309[/tex]Round: [tex]\displaystyle \theta \approx 36.4[/tex]all of the students at mountain range foreign language. 5/8 students take spanish.3/10 of the students take french.the remaining students take mandarin. what fraction of the students take mandarin?
Fraction of students taking mandarin: 3/40
Hope it helps.
what is the value of this expression when x = -5 and y = -3 [tex]\frac{2}{3} x^{3} y^{2}[/tex]
Answer:
y = - 750
Step-by-step explanation:
Given
y = [tex]\frac{2}{3}[/tex] x³y² ← substitute x = - 5, y = - 3 into the expression
= [tex]\frac{2}{3}[/tex] × (- 5)³ × (- 3)²
= [tex]\frac{2}{3}[/tex] × - 125 × 9 ( cancel the 3 and 9 )
= 2 × - 125 × 3
= - 750
WILL GIVE U BRAINLIEST ♡ Rationalize the denominator of fraction with numerator square root of -36 divided by (2-3i)+(3+2i)
Answer:
[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]
Step-by-step explanation:
[tex] \frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)} [/tex]
Set up equation
Step 1: Simplify
[tex] \frac{6i}{5 - i} [/tex]
Step 2:Multiply by conjugate
[tex] \frac{6i}{5 - i} \times \frac{5 + i}{5 + i} [/tex]
Step 3:Simplify
[tex] \frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2} } [/tex]
We can reduce this and we must make the imaginary number and real number serpate equations.
[tex] - \frac{6}{26} + \frac{30i}{26} [/tex]
Reduce each by 2
[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]
write the solution as a coordinate pair. SHOW YOUR WORK!!!!!
GIVING BRAINIEST TO WHOEVER HELPS ME AND GETS IT RIGHT!!!
Answer:
(-4,8)
Step-by-step explanation:
x + 4y = 28
+ -x + y = 12
5y = 40
y = 8
-x + (8) = 12
-x + 8 = 12
-x = 4
x = -4
I need help with these questions please answer :(
Answer:
1. Electrons
2. amphere
3. closed
4. positive to negative
5.open
Solve for x when y = 4
2x + 2y = 20
Answer:
x=6
Step-by-step explanation:
2x + 2y = 20
Let y=4
2x +2(4) = 20
Multiply
2x+8 = 20
Subtract 8 from each side
2x+8-8= 20-8
2x = 12
Divide by 2
2x/2 = 12/2
x = 6
Answer:
[tex]x=6\\[/tex]
Step-by-step explanation:
[tex]2x+2(4)=20[/tex]
[tex]2x+8=20[/tex]
Subtract both sides by 8
[tex]2x=12[/tex]
Divide both sides by 2 to get x alone
[tex]x=6[/tex]
Hope this is helpful
Which is a better estimate for the height of a 5-story building?
a. 15 centimeters b.15 meters
Answer:
b. 15 meters
Step-by-step explanation:
This doesn't involve a lot of math, just some common sense. 15 centimeters is about the size of a pencil so that is definitely not the answer. Therefore, 15 meters would be the correct choice.
Answer:
B bro
Step-by-step explanation:
Name a geometric figure that could be the height of a tree
Answer:
Triangle
Step-by-step explanation:
h = Tan A x d, where h is the tree height, d is the distance from tree, and A is the angle to the top of the tree.
Basically you want to solve for the hypotenuse by using basic trig
graph y = |x| -1
graph 1- looks like an arrow pointing down (only in top quadrants)
graph 2- like an inverted checkmark (bottom point in top right quadrant)
graph 3- looks like an arrow pointing down (in all quadrants)
Answer:
It should look roughly like this
What is 5 7/8 - 1 1/8
Answer to this equation:
4 3/4
Answer:
4.75
Step-by-step explanation:
This is what I got. have a nice day:)
Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a5 and 9a5.
Given:
The lengths of legs of a right triangle are [tex]12a^5[/tex] and [tex]9a^5[/tex].
To find:
The perimeter of a right triangle.
Solution:
In a right angle triangle,
[tex]Hypotenuse=\sqrt{Leg_1^2+Leg_2^2}[/tex]
[tex]Hypotenuse=\sqrt{(12a^5)^2+(9a^5)^2}[/tex]
[tex]Hypotenuse=\sqrt{144a^{10}+81a^{10}}[/tex]
[tex]Hypotenuse=\sqrt{225a^{10}}[/tex]
On further simplification, we get
[tex]Hypotenuse=\sqrt{(15a^{5})^2}[/tex]
[tex]Hypotenuse=15a^5[/tex]
Now, the perimeter of the triangle is the sum of all of its sides.
[tex]Perimeter=Leg_1+Leg_2+Hypotenuse[/tex]
[tex]Perimeter=12a^5+9a^5+15a^5[/tex]
[tex]Perimeter=36a^5[/tex]
Therefore, the perimeter of the right triangle is [tex]36a^5[/tex].
X, Y and Z are three points on a map. Y is 85km and on a bearing of 190° from X. Z is on a bearing of 140°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP
Answer:
The distance between X and Z is approximately 95.99 km
Step-by-step explanation:
Given, X, Y and Z are three points on a map. Y is 85km and on a bearing of 190° from X. Z is on a bearing of 140°, from Y. Z is due south of X.(For Diagram Please Find in Attachment)
Thus, The parameters areThe distance of Y from X = 85 km
The bearing of Y from X = 190°
The bearing of Z from Y = 140°
The bearing of Z from X = 180°
Now,
In triangle XYZ, we have∠YZX = 180° - (130° + 10°) = 40°
Therefore, Apply the sine rule here, we get
(85 km)/sin(40°) = XZ/(sin(130°))
XZ = sin(130°) × (85 km)/sin(30°) ≈ 95.99 km
The distance between X and Z ≈ 95.99 km
Help help help help
Answer:
its the second option
Step-by-step explanation:
Answer:
y = 3x - 4
Step-by-step explanation:
x = 2:
3(2) - 4 = 2
x = 3:
3(3) - 4 = 5
x = 4:
3(4) - 4 = 8
x = 5:
3(5) - 4 = 11
Can some one pls help get the answers
Answer:
[tex] \frac{1}{5} [/tex]
n(S) = 5
n(6) =1
So, P(6)= n(6)/n(S)
=1/5
What is the value of x in the equation -3/4 = x/24
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 18}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{ - 3}{4} = \frac{x}{24} [/tex]
➼ [tex] \: x = \frac{ - 3 \times 24}{4} [/tex]
➼ [tex] \: x = \frac{ - 72}{4} [/tex]
➼ [tex] \: x = - 18[/tex]
Therefore the value of [tex]x[/tex] is -18.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex] \frac{ - 3}{4} = \frac{ - 18}{24} [/tex]
➼ [tex] \: \frac{ - 3}{4} = \frac{ - 3}{4} [/tex]
➼ L. H. S. = R. H. S.
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35♨}}}}⋆[/tex]
Which expression is equivalent to 96?
Answer:
[tex]4\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{96}[/tex]
[tex]\sqrt{2*2*2*2*2*3}[/tex]
[tex]2*2\sqrt{2*3}[/tex]
[tex]4\sqrt{6}[/tex]
En una panadería se dispone diariamente de 80 kg de masa y de 24 kg de frutas (secas y confitadas) para preparar dos tipos de panetones: especial y Premium, según estos requerimientos: Panetón especial: 1kg de masa y 200 g de frutas Panetón Premium: 1kg de masa y 400 g de frutas Si el panetón especial se vende a $3 y el Premium a $4, ¿Cuántos panetones especiales y Premium deben hacerse para obtener el máximo ingreso?
Answer:
x₁ = 40 x₂ = 40 z (max) = 280
Step-by-step explanation:
El presente es un problema de programación lineal, este problema se resuelve por el procedimiento o Método Simplex, con programas de resolución en línea. Como en este caso se trata de que se venden unidades enteras ( es decir las variables son enteros reales) entonces hay que imponer esa condición a nivel de la solución
Para preparar:
Masa Kg Frutas Kg Precio de venta $
Panetón tipo esp. x₁ 1 0.2 3
Panetón tipo Prem x₂ 1 0.4 4
Disponibilidad 80 24
Función Objetiva
z = 3*x₁ + 4*x₂ a maximizar
Sujeto a:
Restricciones o condicionantes:
1.- Cantidad de masa 80 Kgs
1*x₁ + 1*x₂ ≤ 80
2.- Cantidad de frutas 24 kgs.
0.2*x₁ + 0.4*x₂ ≤ 24
x₁ ≥ 0 x₂ ≥0 deben ser enteros
El modelo es:
z = 3*x₁ + 4*x₂ a maximizar
Sujeto a:
1*x₁ + 1*x₂ ≤ 80
0.2*x₁ + 0.4*x₂ ≤ 24
x₁ ≥ 0 x₂ ≥0 deben ser enteros
Usando Atomzmath on-line, después de 6 iteracciones, la solución óptima es:
x₁ = 40 x₂ = 40 z (max) = 280
If the distance from D to D' is 10 and the distance from A to D is 5, what is the scale factor?
Answers:
1) 3
2) 2
3) 1/2
4) 1/3
Answer:
2
Step-by-step explanation:
Because 10/5 is 2
The scale factor for the given distances will be 2. The correct option is 2.
To determine the scale factor, we need to compare the distances between corresponding points in two similar figures. In this case, the distances between points D and D' in one figure and points A and D in the other figure are provided.
The scale factor is determined by dividing the distance between corresponding points in the two figures. Therefore, the scale factor can be calculated by dividing the distance from D to D' (10) by the distance from A to D (5):
Scale factor = Distance from D to D' / Distance from A to D = 10 / 5 = 2
Therefore, the correct answer is option 2). The scale factor is 2.
To know more about scale factors follow
https://brainly.com/question/30215044
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When a = 1 and b = 5, what is the value of c?
Answer:
5.1
Step-by-step explanation:
a² + b² = c²
1² + 5² = c²
1 + 25 = c²
26 = c²
c = 5.1
Answer:
The constant of variation is k =
3/8
When a = 1 and b = 5, what is the value of c?
3/40
Rishaun ran a prize booth at a professional basketball game. He helped guests spin a spinner and then handed them the prizes the spinner landed on. After 400 guests spun the wheel he had collected the following data.
Which of the following is most likely to happen if another 200 guests spin the spinner?
ticket to future game
Step-by-step explanation:
it is because guest won a lot of notepad and mini baseketball so there is chances where ticket to future game still available a lot .
which graph represents the function f(x) = |x| - 4?
Answer:
So f(x) is y
y = |x| -4
Put in some numbers for x and see which graph matches the y output.
The first graph.
Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y=10+3.5x Shop Dorian used: y=6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental? Round to the nearest dollar if necessary. 3 4 14 24
Answer: 24
Step-by-step explanation:
Since we are given the information that
Shop Shawn used: y=10+3.5x while Shop Dorian used: y=6x.
To solve the question asked, we need to equate both equations together and this will be:
10 + 3.5x = 6x
6x - 3.5x = 10
2.5x = 10
x = 10/2.5
x = 4
Therefore, we can put the value of x into any of the equation to get y. This will be:
y = 6x
y = 6 × 4
y = 24
The amount paid for the rentals is 24
Answer:
D 24
Step-by-step explanation:
Hi can someone answer this question for me I would really appreciate it.
Name the marked angle in 2 different ways.
1) angle HJI
2) angle IJH
Hey , can you please answer this? It’s urgent I need it for tomorrow.
Answer:
Step-by-step explanation:
object X-axis Y-axis y = x y = -x
(0,6) (0 , -6) (0,6) (6 ,0) (-6 ,0)
(-3 , 5) (-3, -5) (3 , 5) (5 , -3) (-5 , 3)
(-4 , -6) (-4 , 6) (4 , -6) (-6,-4) (6 , 4)
(8,-3) (8 , 3) (-8,-3) (-3, 8) (3 , -8)
(0,3) (0 ,-3) (0 ,3) ( 3, 0) (-3 , 0)
(0, -9) (0 , 9) (0 ,9) (-9 , 0) ( 9 , 0)
(5,0) (5, 0) (-5,0) (0 , 5) (0 , -5)
(-2,0) (-2,0) (2,0) (0, -2) (0,2)
(-7 , 8) (-7 , -8) (7 , -8) (8, -7) (-8,7)
(12 , -6) (12, 6) (-12,-6) (-6,12) (6 ,-12)
When a point is reflected over x-axis, x-coordinate remains same and y-coordinate change to its opposite sign.
When a point is reflected over y-axis, y-coordinate remains same and x-coordinate change to its opposite sign.
When a point is reflected over y = x axis, x-coordinate and y-coordinate change their places.
When a point is reflected over y = -x axis, x-coordinate and y-coordinate change their places and are negated
which function is represented by the table
Answer:
f(x)=x+5
Step-by-step explanation:
x=-1 therefore -1+5=4
Answer:
Step-by-step explanation:
Which graph represents a proportional relationship?
Answer:
top graph
Step-by-step explanation:
The graph of a proportional relationship is a straight line graph passing through the origin.
The only graph to pass through the origin is the top one
How do you solve x^2+5x-14=0
Answer:
x = -7 , x = 2
Step-by-step explanation:
[tex]x^2 + 5x -1 4= 0\\\\x^2 + 7x -2x - 14 = 0\\\\x(x + 7) -2(x + 7) = 0\\\\(x+7)(x-2) = 0\\\\x+ 7 = 0 , \ x - 2 = 0 \\\\x = - 7 , \ x = 2[/tex]
Answer:
x = - 7, x = 2
Step-by-step explanation:
Solve by factoring , that is
x² + 5x - 14 = 0
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2 , since
7 × - 2 = - 14 and 7 - 2 = + 5 , then
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
due in 30 mins help plssss
Answer:
x = [tex]7\sqrt{2}[/tex]
Step-by-step explanation:
a is the hypotenuse of the right angled triangle ehereas the other two sides are legs of a right angle triangle .
since the other two sides are equal both should be denoted as x.
now the value of a is given i.e 14 m
using pythagoras theorem,
pythagoras theorem states that sum of square of two smaller sides of a right triangle is equal to the sum of square of hypotenuse. so,
a^2 + b^2 = c^2
x^2 + x^2 = 14^2
2x^2 = 196
x^2 = 196/2
x^2 = 98
x = [tex]\sqrt{98}[/tex]
x = [tex]7\sqrt{2}[/tex]
Answer:
[tex]x=7\sqrt{2}[/tex]
Step-by-step explanation:
The given triangle is a right isosceles triangle. This means that it is a triangle with two congruent sides and a right angle (indicated by the box around one of the angles). One of the properties of a right isosceles triangle is that it follows the following sides-ratio,
[tex]x-x-x\sqrt{2}[/tex]
Where (x) represents the legs (sides adjacent to the right angle of a right triangle) or the congruent sides in this case. ([tex]x\sqrt{2}[/tex]) represents the hypotenuse or the side opposite the right angle. Form a proportion based on the given information and solve for the unknown value (x).
[tex]x=\frac{a}{\sqrt{2}}[/tex]
Substitute,
[tex]x=\frac{14}{\sqrt{2}}[/tex]
Simplify,
[tex]x=\frac{14}{\sqrt{2}}\\\\x=\frac{14*\sqrt{2}}{\sqrt{2}*\sqrt{2}}[/tex]
[tex]x=\frac{14\sqrt{2}}{2}[/tex]
[tex]x=7\sqrt{2}[/tex]