Answers
Answer:
[tex]45[/tex]
Step-by-step explanation:
[tex]\tan 45^{\circ} = \dfrac{\sin 45^{\circ}}{ \cos 45^{\circ} }\\\\\\~~~~~~~~~~=\dfrac{\sin 45^{\circ}}{\sin\left(90^{\circ} - 45^{\circ} \right)}\\\\\\~~~~~~~~~~=\dfrac{\sin 45^{\circ}}{\sin 45^{\circ}}\\\\\\~~~~~~~~~~=1[/tex]
Related Questions
Hii guys please answer this question
After how many places will the decimal expansion of 189/750 terminate ? Also write the decimal form
Answers
Answer:
3 decimal places; 189/750 = 0.252
Step-by-step explanation:
Answer:
3 decimal places.
189/750 = 0.252
Step-by-step explanation:
If you are allowed to use a calculator, you divide. 189/750 means 189 ÷ 750.
You will get 0.252, which is three decimal places. If you are not allowed to use a calculator, you must do long division. The 750 goes outside the dividing frame and the 189 goes inside. There is an unwritten decimal point after the 9 in 189. Since 750 does not go into 189, put 0. to begin and put zeros after the 189 to do the long division. See image. Hopefully you can just use a calculator.
ABC has the points A(1,7) B(-2,2) and C(4,2) as it’s vertices
The measure of the longest side of ABC is _ units. ABC is_triangle. If ABD is formed with the point D(1,2) as it’s third vertex, then ABD is _triangle . The length of side AD is_units
Answers
Part 1
Using the distance formula,
[tex]AB=\sqrt{(-2-1)^{2}+(2-7)^{2}}=\sqrt{34}\\\\BC=\sqrt{(-2-4)^{2}+(2-2)^{2}}=6\\\\AC=\sqrt{(1-4)^{2}+(7-2)^{2}}=\sqrt{34}[/tex]
So, the measure of the longest side is 6 units.
Part 2
Triangle ABD will have vertices A(1,7), B(-2, 2), and D(1,2).
We already know that [tex]AB=\sqrt{34}[/tex]
Using the distance formula,
[tex]AD=\sqrt{(1-1)^{2}+(7-2)^{2}}=5\\\\BD=\sqrt{(-2-1)^{2}+(2-2)^{2}}=3[/tex]
So, ABD is a scalene triangle.
Part 3
From part 2, we know that the length of side AD is 5 units.
What is the solution to x^3+ 4x^2>X+4?
04
O4
O4 < x < -1 or x> 1
Ox<-4 or-1
Thank yoooou!
Answers
The solution of the inequality x³ + 4x² > x + 4 will be -4 < x < -1 or x > 1. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
x³ + 4x² > x + 4
Then the inequality can be written as
x³ + 4x² – x – 4 > 0
Then the factor will be
x²(x + 4) – 1(x + 4) > 0
(x² – 1)(x + 4) > 0
(x – 1)(x + 1)(x + 4) > 0
Then the solution will be
x – 1 > 0
x > 1
x + 1 < 0
x < -1
x + 4 > 0
x > -4
Then the correct option is C.
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HELPPPPP ITS AN EMERGENCY ITS MY FINAL GRADEEEEE
click on the photo
Answers
Answer:
D
Step-by-step explanation:
2 units right 1 unit down
Good luck
Answer:
(x-2, y+1)
Step-by-step explanation:
G(0, 4) -> G'(-2, 5)
H(2, 4) -> H'(0, 5,)
E(0, 2) -> E'(-2, 3)
F(-1, 2) -> F'(-3, 3)
Given √b6.
What is the rational exponent form of this expression?
O b1/3
0 b3
O b6
O b3/2
Answers
The rational exponent form of the given expression is b³. The correct option is the second option b³
Evaluating an expressionFrom the question, we are to determine the rational exponent form of the given expression
The given expression is
[tex]\sqrt{b^{6} }[/tex]
From one of the laws of indices, we have that
[tex]\sqrt[n]{x^{m} } = x^{\frac{m}{n} }[/tex]
Thus,
[tex]\sqrt{b^{6} } = b^{\frac{6}{2} }[/tex]
= [tex]b^{3}[/tex]
∴√b⁶ = b³
Hence, the rational exponent form of the given expression is b³. The correct option is the second option b³
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Please answer both questions math
Answers
Answer:
[tex]3[/tex] and perpendicular
Step-by-step explanation:
It's important to remember that equations of lines are always set up in the format of [tex]y=mx+c[/tex].
[tex]y[/tex] is the [tex]y[/tex] value, [tex]m[/tex] is the gradient/slope, [tex]x[/tex] is the [tex]x[/tex] value and [tex]c[/tex] is the y-intercept.
Therefore, we must always rearrange our line equations so that [tex]y[/tex] is the subject.
In the first question, we are given the equation [tex]2x+6y=12[/tex].
We rearrange to make [tex]y[/tex] the subject:
[tex]6y = 12-2x[/tex]
Then, we divide both sides by 6 to have the [tex]y[/tex] isolated:
[tex]\frac{6}{6} y = \frac{12}{6} - \frac{2}{6}x\\\\ y = 2 - \frac{1}{3}x[/tex]
To find a perpendicular slope, we use the negative reciprocal of the original slope. The negative part of that means we negate the value (it becomes inverse) and the reciprocal part means that we flip the fraction.
So here, the slope is [tex]-\frac{1}{3}[/tex].
So, the negative reciprocal of that would be [tex]3[/tex] because we inverse the sign (the negative becomes positive) and the fraction is flipped to create [tex]\frac{3}{1}=3[/tex].
So, the perpendicular slope is [tex]3[/tex].
In the second question, we have two equations. They both need to be rearranged to isolate the [tex]y[/tex].
[tex]4x-y=5\\4x = 5 + y\\y = 4x - 5\\\\4y = -x-12\\y = -\frac{1}{4}x - 3[/tex]
Look at the slopes of the two equations. If you look carefully, you will see that they are inverse of each other (one is positive and one is negative) and if you imagine [tex]4 = \frac{4}{1}[/tex], the fraction is flipped.
This means that the values are negative reciprocals of each other, meaning the lines are perpendicular.
dawn simplified a power correctly and came up with a value of 64. which could have been the original exponential form of the expression dawn simplified? check all that apply.
Answers
Answer:
below
Step-by-step explanation:
the second option is the only expression that came up with the value of 64
(2^6)
Answer:2,⁶ (–8)² and (–2)⁶ hope I helped. : )
Step-by-step explanation:
hi :)
please answer all of theses asap
Answers
Answer:
1. won 50 games and lost 32 games
2. 233 Democrats and 202 Republicans
3. 360 miles
4. 6 hours
5. 18 miles
Step-by-step explanation:
Question 1
let x = number of games lostlet y = number of games wonFrom the given information:
Equation 1: x + y = 82Equation 2: x = y - 18Substitute Equation 2 into Equation 1 and solve for y:
⇒ y - 18 + y = 82
⇒ 2y - 18 = 82
⇒ 2y = 100
⇒ y = 50
Substitute found value of y into Equation 2 and solve for x:
⇒ x = 50 - 18
⇒ x = 32
Therefore, the team won 50 games and lost 32 games.
Question 2
let d = number of Democratslet r = number of RepublicansFrom the given information:
Equation 1: d + r = 435Equation 2: d = r + 31Substitute Equation 2 into Equation 1 and solve for d:
⇒ r + 31 + r = 435
⇒ 2r + 31 = 435
⇒ 2r = 404
⇒ r = 202
⇒ d = 233
Substitute found value of d into Equation 2 and solve for r:
⇒ 233 = r + 31
⇒ r = 202
Therefore, there were 233 Democrats and 202 Republicans.
Question 3
Given:
v = 180 m/ht = 2 hDistance (d) = vt
⇒ d = 180 × 2
⇒ d = 360 miles
Question 4
Given:
v = 70 mi/hd = 420Time (t) = d ÷ v
⇒ t = 420 ÷ 70
⇒ t = 6 hours
Question 5
Let c = velocity of carLet b = velocity of busIf the velocity of the bus is 12 mph less than the car then:
⇒ c = b + 12
Given journey times:
Car: t = 30 mins = 0.5 hBus: t = 45 mins = 0.75 hDistance (d) = vt
Create two equations for distance:
Bus
⇒ d = b × 0.75 = 0.75b
⇒ d = 0.75b
Car
⇒ d = (b + 12) × 0.5
⇒ d = 0.5b + 6
Distance for both vehicles is the same. Equate the two equations for d and solve for b (velocity of bus):
⇒ d = d
⇒ 0.75b = 0.5b + 6
⇒ 0.25b = 6
⇒ b = 24 mph
Substitute the value of b into one of the distance formulas and solve for d:
⇒ d = 0.5(24) + 6
⇒ d = 18 miles
What can be concluded if ÐABC and ÐCBD are a linear pair? Select all statements that you think are correct.
Answers
If ÐABC and ÐCBD are a linear pair, then it means that their sum is 180°.
What is Linear pair of angles?Linear pair of angles are angles formed when two lines intersect each other at a single point.
Now, the angles are also said to be linear if they are adjacent to each other after the intersection of the two lines and the sum of the linear pair of angles is always equal to 180°.
Looking at the definition above we can say that if ÐABC and ÐCBD are a linear pair, then it means that their sum is 180°.
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(picture)⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answers
Answer:
196
Step-by-step explanation:
70% multiply by 4/5(80%) which is 56%
56% times 350
If a polygon has an area of 25cm and is dilated by a factor of 3, what will be the area of the dilated polygon?
Answers
Answer:
225 cm²
Step-by-step explanation:
dilatation factor = 3 , then
area factor = 3² = 9
the area of the dilated polygon is then 9 times the area of the original so
area of dilated polygon = 9 × 25 = 225 cm²
Select the correct answer. What is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of `3/4`? A. `y = -(3)/(4) x -(1)/(4)` B. `y = 3/4 x +(1)/(4)` C. `y = 3/4 x -(31)/(4)` D. `y = 3/4 x +(31)/(4)`
Answers
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{y = 3/4x - 7.75}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{Passes through (5, -4) with a slope of 3/4}[/tex]
Find: [tex]\textsf{The equation in slope-intercept form}[/tex]
Solution: In order to determine the equation we need to first plug the values into the point-slope form, simplify, distribute, and solve for y to get our final result.
Plug in the values
[tex]\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}[/tex][tex]\textsf{y - (-4) = 3/4(x - 5)}[/tex]Simplify the expression and distribute
[tex]\textsf{y + 4 = 3/4(x - 5)}[/tex][tex]\textsf{y + 4 = (3/4 * x) + (3/4 * -5)}[/tex][tex]\textsf{y + 4 = 3/4x - 3.75}[/tex]Subtract 4 from both sides
[tex]\textsf{y + 4 - 4 = 3/4x - 3.75 - 4}[/tex][tex]\textsf{y = 3/4x - 3.75 - 4}[/tex][tex]\textsf{y = 3/4x - 7.75}[/tex]The equation in slope-intercept form that follows the information that was provided is y = 3/4x - 7.75
What are the values of x and y for this equation?
(x+yi)+(8-5i)=4+3i
Answers
Step-by-step explanation:
ATTACHED IS THE SOLUTION. Don't hesitate to ask where you don't understand.The circumference of a circle is 19 ft.
What is the area, in square feet? Express
your answer in terms of T.
Answers
Answer:
The area is approximately 28.73ft²
Step-by-step explanation:
Given: Circumference = 19 ft
The necessary formula area,
Area: A = πr²
Circumference: C = 2πr
Combine:
A = [tex]\frac{C^{2} }{4\pi }[/tex]
A = [tex]\frac{19^{2} }{4\pi } \\\\ \frac{361 }{4\pi }[/tex]
A = 28.72747
What is the value of x?
(See attached image for details.)
Enter your answer in the box.
x = ...°
Answers
Answer:
x = 55°
Step-by-step explanation:
Hello!
The sum of angles in a triangle is 180°.
To solve for x, we have to subtract the given angles from 180°.
Solve for x180° = ∠1 + ∠2 + ∠x180° = 75° + 50° + x°180° - 75° - 50° = x°55° = x°The value of x is 55°.
Angle sum property of a triangle
Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.∠A + ∠B + ∠C = 180°
∠A = ?∠B = 75°∠C = 50°We need to find the value of ∠A
According to the angle sum property of a triangle
⇢∠A + ∠B + ∠C = 180°
⇢∠A + 75° + 50° = 180°
⇢∠A + 125° = 180°
⇢∠A = 180° - 125°
⇢∠A = 55°
Solve For x
[tex] \large \frak{5x + 15 = 30}[/tex]
Tysm!:)
Answers
5x + 15 = 30
minus 15 on both sides, 5x = 15
then divide both sides by 5 so, x = 3
[tex]\boldsymbol{5x+15=30}[/tex]
Subtract 15 from both sides.
[tex]\boldsymbol{5x=30-15 }[/tex]Subtract 15 from 30 to get 15.
[tex]\boldsymbol{5x=15 }[/tex]Divide both sides by 5.
[tex]\boldsymbol{x=\dfrac{15}{5} }[/tex]Divide 15 by 5 to get 3.
[tex]\boldsymbol{x=3 \ \ \to \ \ \ Answer}[/tex]VerificationLet x=3.
[tex]\bf{5\times3+15=30 \ \ \to \ \ \ Multiply }[/tex][tex]\bf{15+15=30 \ \ \to \ \ \ Add}[/tex][tex]\bf{30=30 \to \ The \ equality \ is \ fulfilled.}[/tex]Checked ✅
[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m - 1/2 = 2 + 1/4m
2
3
4
5
Answers
Find the range of the given function y = 8x + 1, where x > 2.
Answers
The range of the function will be all values that are greater than 17 that is y > 17
Range of a functionThe range of a function is the dependent variable of the function for which it exists,
Given the linear function
y = 8x + 1
If the value of x is 2, hence;
y = 8(2) + 1
y = 17
Hence the range of the function will be all values that are greater than 17 that is y > 17
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My supersonic jet burns 4 gallons of jet fuel in 3 seconds. How many gallons of jet fuel do I need to fly for an hour?
Answers
how do i do this? i need to factor it conpletely with any method that goes with it
Answers
Answer:
(x-9)(x+8)
Step-by-step explanation:
Use the AC method
a^½ха^2/3/a^3/5
I need help
P
Answers
Answer:
15 sqrt a ^4
Step-by-step explanation:
Graph the image of this figure after a dilation with a scale factor of centered at the origin.
Use the polygon tool to graph the dilated figure.
Polygon
+Move
10
9
8
7
6
5
3
2
y
Undo
Redo x Reset Graph the image of this figure after a dilation with a scale factor of 1/3 centered at the origin
Answers
A picture of the dilated figure with its points at (-2, 10), (2, 6), and (-8, 4) is provided.
What exactly is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
The complete question is;
"Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2) .
Use the polygon tool to graph the dilated figure."
The center of dilation and figure are first translated, making the origin the center of dilation.
We map every point because the point (2, 2), which is our center of dilatation, must be translated left 2 and down 2 to become the origin.
(x, y)→(x-2, y-2)
Each point will be multiplied by two when the scale factor is two, giving us the rule.
(x, y)→(2x-4, 2y-4)
In order to return the figure to its original location, we must translate it right 2 and up 2; this gives us the rule.
(x,y)→(2x-4+2, 2y-4+2) = (2x-2, 2y-2)
At the top of the original figure, the first point is (0, 6). When we use the transformation, we get
(0, 6)→(2*0-2, 2*6-2) = (0-2, 12-2) = (-2, 10)
The pre-rightmost image's point is (2, 4). The results of using the transformation rule are;
(2, 4)→(2*2-2, 2*4-2) = (4-2, 8-2) = (2, 6)
The pre-leftmost image's point is at (-3, 3). The transformation rule being applied, w
(-3, 3)→(-3*2-2, 3*2-2) = (-6-2, 6-2) = (-8, 4)
Hence,an picture of the dilated figure with its points at (-2, 10), (2, 6), and (-8, 4) is provided.
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12. How many grams is of of 800 g?
[tex] \frac{3}{8} [/tex]
of 800 g ?
Answers
Answer:
800
Step-by-step explanation:it's cuz g represents
3/8 converted to decimal = 0.375 x 800g
= 300g
3. A sequence of numbers is shown below. 1 5 9 13 17.
(a) Find an expression for the nth term of the sequence.
Answers
Answer:
Un= 1 + (n-1)4
Step-by-step explanation:
a=1
d=5-1=9-5=4
using the formula Un=a+(n-1)d
1. What is the binomial expansion of (x + 3)5?
Answers
Answer:
5x + 15
Step-by-step explanation:
To expand the binomial, you need to multiply each term inside the parentheses by 5.
(x + 3)5
= (x * 5) + (3 * 5)
= 5x + 15
30 POINTS PLEASE HURRY
Jonathan and Kevin each rewrote and evaluated the expression (SEE PICTURE BELOW) They arrived at different answers.
Answers
Answer:
B. took test
Step-by-step explanation:
Answer:
B. Jonathan is correct. Kevin made an error at step 3.
Step-by-step explanation:
Graph the inequality -1 < y +5x<11
Answers
Answer:
b
Step-by-step explanation:
what is the square root of 36/196
√36/169
Answers
Answer:
The square root of 36/196 is 3/7.
The square root of 36/169 is 6/13.
36/169 is 6/13
PLs help answer ASAP
Answers
Answer:
The factors of the given equation are:
(11x−8)(11x+2)
Step-by-step explanation:
Since both terms are perfect squares,
Factorize using the difference of squares formula,
[tex]a^{2} -b^{2}[/tex][tex]=(a+b)(a-b)[/tex]
where a=11x−3 and b=5.
=> (11x-3+5)(11x-3-5)
=> (11x+2)(11x−8)
=>[tex](11x-3)^{2}-25[/tex]
Use the binomial theorem [tex](a-b)^{2}=a^{2} +b^{2} -2ab[/tex] to expand[tex](11x-3)^{2}-25[/tex]
=> [tex](11x^{2})+(3)^{2}- 2(11x)(3)-25[/tex]
=>[tex]121x^{2} + 9 - 66x -25[/tex]
=> [tex]121x^{2} -16+ 66x[/tex]
By the splitting method,
=> (11x−8)(11x+2)
The factors of the equation are (11x−8)(11x+2).
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The quotient of 7 more than three times a number m and the number 27 less than n
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The given statement can be modeled as (3m+7)/27 < n.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement "The quotient of 7 more than three times a number m and the number 27 less than n" can be modeled as an algebraic expression as shown below.
(3m+7)/27 < n
Hence, the given statement can be modeled as (3m+7)/27 < n.
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