Answer: x = 16.9
Concept:
Here, we need to know the idea of basic trigonometry.
Sine = Opposite / Hypotenues = O / H
Cosine = Adjacent / Hypotenues = A / H
Tangent = Opposite / Adjacent = O / A
Solve:
Angle θ = 50°
Opposite = x
Hypotenues = 22
Given formula
Sine = Opposite / Hypotenues
Substitute the value into the formula
sin (50) = x / 22
Multiply 22 on both sides
sin (50) × 22 = x/22 × 22
x = 22 sin (50)
x = 16.9
Hope this helps!! :)
Please let me know if you have any questions
Answer:
16.85
Step-by-step explanation:
SOH CAH TOA
sin 50 = about 0.766
times by 22 then u get
16.85
Hope this helps
Translate this sentence into an equation.
The sum of 22 and Greg's savings is 65.
Use the variable g to represent Greg's savings.
Answer:
22+g=65
Step-by-step explanation:
take the 22 add (sum) to g (the variable) and have them = 65
solve 3-x/2 less than or equal to 18
Answer:
x ≥ -30
Step-by-step explanation:
The equation is 3 - x / 2 ≤ 18.
First, subtract 3 on both sides:
- x / 2 ≤ 15.
Multiply by -2 on both sides and swap the less than or equal to sign:
x ≥ -30
Hope this helps!
What is the value of −8−√288 / 2∙(−2)?
Answer:
[tex] \frac{ - 8 - \sqrt{288} }{2 \times ( - 2)} = \frac{ - 8 -16.97 }{ - 4} = \frac{ - 24.97}{ - 4} = 6.2425[/tex]
Given: ∠N ≅ ∠S, line ℓ bisects at Q.
Prove: ∆NQT ≅ ∆SQR
Which statement belongs in Step 4?
Answer:
angle NQT equals angle STR
Step-by-step explanation:
You already have two angLes, you just need a side to be able to say the AAS Theorem. The answer is the remaining side to figure that out
Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 45 + 72?
O 3(15 + 24)
O 9(5 + 8)
O (5)(9) + (2)(36)
O (3)(15) + (8)(9)
Answer:
9(5+8)
Step-by-step explanation:
Which days are part of line BE?
Answer:
B) Rays AB and AE
Step-by-step explanation:
Though A-F, A-D, and A-C all meet at one point on line B-E, point A, they aren't a part of it. Point A on line B-E marks the "midpoint" of it, and therefore, ray A-E and A-B are part of line B-E.
Write the equation of the line in slope-intercept form that passes through (5, –4) and (1, 7).
Answer:
Slope=[tex]\frac{11}{-4}[/tex]
Step-by-step explanation:
Given m || n, find the value of x and y.
Answer:
[tex]{ \tt{x = 41 \degree}}[/tex]
Interior alternate angles.
[tex]{ \tt{y + x = 180 \degree}} \\ { \tt{y + 41 \degree = 180 \degree}} \\ { \tt{y = 139 \degree}}[/tex]
Answer:
x = 45°
y = 135°
Step-by-step explanation:
Hi, Ace here!
Over here, we have a transversal with m parallel to n. Because those two lines are parallel, we can apply many theorems to this transversal.
First, we can say that m<45° and m<x° are corresponding angles. According to this theorem, that means both these degree measures are equal, thus x = 45°.
To find y, we can do 1 of two things in 1 step. We can name m<45° and m<y° as same side exterior angles, which means that they'd be supplementary angles (add up to 180°).
The second thing we can do is say m<x and m<y supplement each other because the measure of a flat line equals 180°, and according to Part-Whole-Postulate, that means all the parts of the flat line would also equal up to 180°.
Of course, these methods are practically the same due to substitution (m<x=m<45°). So m<y = 180° - m<x or m<y = 180° - 45° = 135°.
Hope this helped, let me know if you have any questions.
Which represents the inverse of the function f(x) = 4x?
Answer:
The inverse is 1/4x
Step-by-step explanation:
y = 4x
To find the inverse, exchange x and y
x = 4y
Solve for y
1/4 x = 4y/4
1/4x = y
The inverse is 1/4x = y
Answer:
y = x/4
Step-by-step explanation:
y = 4x
x = 4y
y = x/4
What is the largest three-digit palindrome divisible by 18?
Answer:
252
Step-by-step explanation:
What's the sum of the infinite geometric series where a1 = 240, and the common ratio is r = 1∕3 ?
A: 600
B: 720
C: 360
D: 480
I think its B because it is always B
Frank tried to solve an equation step by step.
-5=5(d+4)
-5=5d+20 Step 1
15=5d Step 2
3=d Step 3
Find Frank's mistake
a) Step 1
b) Step 2
c) Step 3
d) Frank did not make a mistake
Answer:
B
Step-by-step explanation:
when grouping the like terms the 20 will become a negative therefore -20-5 is -25 so the 5d has to be divided into -25 and not 15.. making the rest of the answer wrong.
-5-20=5d
-25/5=5d/5
-5=d
I hope this helps
Answer:
Step 2
Step-by-step explanation:
khan
Question 6(Multiple Choice Worth 3 points) (08.03)A group of 12 students participated in a dance competition. Their scores are below: Score (points) 1 2 3 4 5 Number of Students 1 2 4 3 2 Would a dot plot or a histogram best represent the data presented here? Why? Histogram, because a large number of scores are reported as ranges Histogram, because a small number of scores are reported individually
Answer:
Dotplot, because a small number of scores are reported individually.
Step-by-step explanation:
Given the data :
Score (points) _______ 1 _ 2 _ 3 _ 4 _ 5
Number of Students __ 1 _ 2 _ 4 __3_ 2
Both the dot plot and histogram are used to represent graphical representation of data. The histogram uses bars ot represent data values or frequency of data organized or presented as ranges. This means histograms are usually ideal for grouped data which maintain a specified amount of interval between each class Or group. The Dotplot on the other hand handles individual data values using dots that represent the frequency of each. Since the data above are reported as individual data values, then the Dotplot is an ideal choice.
Answer:
small dot plot bb
Step-by-step explanation:
xoxo
Calculate the volume of the following object:
Answer:
262.44 [tex]m^{3}[/tex]
Step-by-step explanation:
Volume of cylinder = [tex]\pi r^{2}[/tex]h
Volume of cube = [tex]s^{3}[/tex]
Cylinder
[tex](\pi )(2.5)^{2}[/tex](7) = 137.44468
Cube
[tex]5^{3}[/tex] = 125
125 + 137.44 = 262.44
A line passes through the point (8,-5) and has a slope of 5/4. Write an equation in slope intercept form for this line.
Answer:
y = 5/4x-15
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 5/4x+b
Substitute the point into the equation and solve for b
-5 = 5/4(8)+b
-5 = 10+b
Subtract 10 from each side
-5-10 = b
-15 = b
y = 5/4x-15
Step-by-step explanation:
y-y'=m(x-x')
y-(-5)=5/4(x-8)
y+5=5x/4-10
4(y+5)=4(5x/4)-10(4)
4y+20=5x-40
4y-5x=-40-20
4y-5x=-60
5x-4y-60=0
y=5x/4-15
Translate the sentence into an equation.
Six times the sum of a number and 5 equals 4.
Use the variable b for the unknown number.
Answer:
6(b + 5) = 4
Step-by-step explanation:
To start of we know that by saying six time the sum of a number and five. The problem wants us to put b + 5 in parenthesis to establish that the 6 is being distributed to both the b and the 5. Now that we have the first part, all we have to do is write that this expression is equal to four.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
What are the solutions to the quadratic equation below?
Which expression is equivalent to
36÷3+3
a 3x2^+3
b 2^2÷3x3
c 3x2^2÷3
d 2^2+3x3
Judy is having a birthday party she invited 7 freinds pver and made 98 cookies for party favours how many did each freind get
Answer:
Number of cookies each friend gets = 14 cookies
Step-by-step explanation:
Total cookies available for the party = 98
Number of friends invited = 7
how many did each freind get
Number of cookies each friend gets = Total cookies available for the party / Number of friends invited
= 98/7
= 14 cookies
Number of cookies each friend gets = 14 cookies
The triangle below is equilateral. Find the length of side 2 in simplest radical form
with a rational denominator.
x
Submit Answer
Answer: 2
attempt 1 out of 2
PLS HELP
Answer:
[tex]x=\frac{4\sqrt{3}}{3}[/tex]
Step-by-step explanation:
From the figure attached,
ΔABC is an equilateral triangle.
Therefore, by the property of the equilateral triangle,
Measure of each angle = 60°
By applying tangent rule in the right triangle ADC,
[tex]\text{tan}(60^{\circ})=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\sqrt{3}=\frac{4}{x}[/tex]
[tex]x=\frac{4}{\sqrt{3}}[/tex]
[tex]x=\frac{4}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3} }[/tex]
[tex]x=\frac{4\sqrt{3}}{3}[/tex]
Helppppppp pleaseeeeeee
Answer:
x=19.27329
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / hyp
tan 56 = x/ 13
13 tan 56 = x
x=19.27329
WHAT IS THE GRADIENT OF THE BLUE LINE?? NEED HELP URGENTLY
Answer:
gradient = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Calculate the gradient m using the gradient formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = [tex]\frac{1-2}{3-(-1)}[/tex] = [tex]\frac{-1}{3+1}[/tex] = - [tex]\frac{1}{4}[/tex]
2+2
middle school kojvs
Answer:
answer for this question is 4
Step-by-step explanation:
2+2=4
the area of a square postcard is 25 square inches. How long is each side postcard?
Answer:
5 inches
Step-by-step explanation:
To find the area of a square the formula is A = bh which with a square is essentially one side squared. We know this because every side of a square is the same. We also know that 5 squared is 25 meaning the answer is 5 inches(You could also use the formula A = bh : A = 5 x 5 : A = 25).
Answer:
The side is 5 square inches.
Step-by-step explanation:
Area of square formula:
A = s x s or [tex]s^2[/tex]
To figure out the sides, we use this formula:
A = 25 ÷ s = s
But to figure out s = side, think of factors of 25 like this:
25: 1,5,25
Now let's plug in the factors of 25 to figure out the missing side length.
A = 25 ÷ 1 = 25
This is not true.
A = 25 ÷ 5 = 5
This is true.
A = 25 ÷ 25 = 1
This is not true.
So our answer is 5 square inches on each side.
Find the next three terms in the geometric sequence -3, 9, -27, 81, ...
Answer:
...-243, 729, -2187
Step-by-step explanation:
-3, 9, -27, 81, -243, 729, -2187
Everytime ×(-3)
-3×(-3)=9
9×(-3)=-27
-27×(-3)=81
Etc.
Please solve #5 and explain how you solved it
Find the radius of this circle please..
Answer:
r = 3 ft
Step-by-step explanation:
Area = 9π
So, πr²=9π where r is the radius
so, r²=9
or, r=√9
or, r=3, since r can't be negative
Answered by GAUTHMATH
Instructions: Find the missing segment in the image below plz help me
Answer:
56
Step-by-step explanation:
that is the procedure above
The missing segment in the image below is 8.
The missing segment is the side length of the small triangle that is formed by the two red lines and the green line. We can find the length of this side length by using the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the missing segment, and the other two sides are 4 and 5.
missing [tex]segment^2[/tex] = [tex]4^2[/tex] + [tex]5^2[/tex]
missing [tex]segment^2[/tex] = 16 + 25
missing [tex]segment^2[/tex] = 41
missing segment = √41
Therefore, the missing segment is √41.
Here are the steps in detail:
Identify the small triangle that is formed by the two red lines and the green line.
Label the sides of the triangle with the letters A, B, and C, where C is the missing segment.
Substitute the known side lengths into the Pythagorean Theorem.
Solve for the length of the missing segment.
To learn more about segment here:
https://brainly.com/question/12622418
#SPJ2
SOMEONE HELP ME PLEASE
Answer: P (3 or odd) = 1/2
Step-by-step explanation:
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
The numbers on a dice: 1, 2, 3, 4, 5, 6
Total numbers = 6
Number of 3 = 1
Number of Odd = 3
[Since 3 is one of the odd numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]
P (3 or odd) = Favorable / Total (refer to the attachment)
P (3 or odd) = [(1 + 3) - 1] / 6
P (3 or odd) = (4 - 1) / 6
P (3 or odd) = 3 / 6
P (3 or odd) = 1/2
Hope this helps!! :)
Please let me know if you have any questions
x-2/x+2-3/x-2=2*(x-11)/x^2-4
9514 1404 393
Answer:
x = 4 or x = 5
Step-by-step explanation:
Maybe you want to solve ...
[tex]\dfrac{x-2}{x+2}-\dfrac{3}{x-2}=2\dfrac{x-11}{x^2-4}\\\\\dfrac{(x-2)^2-3(x+2)-2(x-11)}{x^2-4}=0\\\\\dfrac{x^2 -4x+4-3x-6-2x+22}{x^2-4}=0=\dfrac{x^2-9x+20}{x^2-4}\\\\{x^2-9x+20}=0=(x-5)(x-4)\ \Rightarrow\ x=\{4,5\}[/tex]
The solutions are x=4 and x=5.
_____
Additional comment
The Order of Operations requires that we interpret your input as ...
x -(2/x) +2 -(3/x) -2 = (2(x -11)/x^2) -4
This is probably not what you want.
In order to get the interpretation we have used above, you need to use parentheses around any numerator or denominator containing arithmetic operations:
(x -2)/(x +2) -3/(x -2) = 2(x -11)/(x^2 -4)