Answers
Answer:
x = 50°Step-by-step explanation:
To find x we use cosine
cos ∅ = adjacent / hypotenuse
From the question
The hypotenuse is x
The adjacent is 18
So we have
cos 69 = 18/x
x cos 69 = 18
Divide both sides by cos 69
x = 18/cos 69
x = 50.2
x = 50° to the nearest tenth
Hope this helps you
Related Questions
Select the correct product of the exponential expression.
6^4
Answers
Answer:
1,296
Step-by-step explanation:
Answer:
1,296
Step-by-step explanation:
Well 6 to the 4th power is also,
6*6*6*6 which is 1,296.
Please Help!!! Will get brainiest if answer correctly with an explanation. Name the postulate or theorem you can use to prove wzv=wzy. given:
Answers
Answer:
AAS
Step-by-step explanation:
Δwzy=Δwzv
to prove the equality:
1- wz is a common side
angle: wzv=wzy=90 degrees ( height of triangle)
angle v= angle y
Since WZ bisects W, it's good to say that vwz and zwy
prove one side is equal and two angles
so ASA or AAS is the answer
a culinary student decorates a 8-in. -diameter round cake. What is the approximate are of the top of the cake?
Answers
Answer:
The top of the cake is 25.12 in²
Step-by-step explanation:
Hello!
So you are dealing with a circumference question! And because the diameter is 2x the radius, we know the radius is actually 4.
Lets write out the circumference formula and use that to help us.
c = 2[tex]\\\pi[/tex] x r
pi is 3.14....
But lets use 3.14
c = 2(3.14) x 4
Plus this into a calculator and we get 25.12 as the answer.
Answer:
≈50.265 [tex]in^{2}[/tex]
Step-by-step explanation:
You first have to find the radius since the formula for the area of a circle is A=[tex]\pi r^{2}[/tex].
Since the radius is half the diameter, just divide 8 by 2 which will give you 4.
r=4
Now plug in the radius into the formula and simplify.
A=[tex]\pi 4^{2}[/tex]
[tex]A=\pi 16[/tex]
≈50.265 [tex]in^{2}[/tex]
what is the value of [3.6]
Answers
Answer:
3
Step-by-step explanation:
You remove the brackets and round down to the nearest whole number which is three..
Edge 2020
~theLocoCoco
Answer:
a
Step-by-step explanation:
edge 2021
2x -2=10 solve for x
Answers
Answer:
x=6
Step-by-step explanation:
Take -2 and add it to 10 and get 12. So then the equation is 2x=12. Divide 2 by 12 and get x=6.
(ii) Atrader gets a profit of 20% by selling an item for £ 150. Find the buying in price.
(iii) A bank charges 12% per annum on loans. If a person borrowed a loan of
£ 20000 find the total amount that he has to repay after one year.
(a) Six workers can build a wall in 10 days. At the same rate how many
workers are needed to complet in 4 days.
(c) How many extra workers to be employed ?
Answers
Answer:
ii) £120
iii) £2,400
a) 10 workers
c) 4 workers more to be employed.
Step-by-step explanation:
ii) To find the buying price we deduct 20% (percent) from the selling price of £150.
= 20/100 x 150
= £30 (Next we substract this value from the selling price of £150) = €150 - £30 = £120
iii) A 12% interest per annum Implies a 12 percent of the borrowed amount of 20,000, which is calculated as
12% or 12/100 x 20,000 = £2,400
a) Put simply, we create an equation for the problem.
4 men * 10 days = 40 man days.
X men * 4 days = 40 man days.
Let's substitute the equation:
(X/ 4) * (4/ 10) = 40 / 40
(X/4) * 0.4= 1 (collect like terms)
0.4 * x = 4
0.4x/0.4= 4/0.4
x = 10 workers.
(c) 4 extra workers to would need to be employed since we have six already available (10-6=4).
Which statement about this figure is true? Pls give an explanation
Answers
Answer:
The correct option is;
It has no reflectional symmetry
Step-by-step explanation:
Reflectional symmetry is one such that a line can be drawn across a shape or figure and the shape or figure on either side of the line is the equivalent of the reflection image obtained from a mirror
Lines of reflectional symmetry can be found in squares, circles, and triangles
The characteristics of the object that has line of reflection symmetry remains the same across the line of symmetry
Two dimensional objects have lines of symmetry while three dimensional objects have planes of symmetry.
Please help I’m being timed!!! A country commits to decreasing spending for infrastructure in various ways at a rate of 30% per year. At the time of the announcement, the country is spending $12 billion per year. Which graph models the amount of infrastructure spending for future years?
Answers
Answer:
It would be the graph that has point (0,12) and is decreasing to the right.
Select the correct answer. Which equation represents a line that is perpendicular to line FG?
Answers
Answer:
Hey there!
Equation of Line FG: [tex]y=\frac{1}{2} x+3.5[/tex], because the slope (rise over run) is 2 and we see that the y intercept is 3.5.
Equation to a Line Perpendicular to FG: [tex]y=-2x-3\\[/tex], because the equations of perpendicular lines have the same (but could also be different y-intercepts), and opposite reciprocal slopes.
Let me know if this helps :)
Answer:
C)
Step-by-step explanation:
f(-5,1) & G(9,8)
Slope of FG = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{8-1}{9-[-5]}=\frac{7}{9+5}\\\\[/tex]
[tex]\frac{7}{14}\\\\=\frac{1}{2}[/tex]
Slope of line perpendicular to FG = -1/m = -1/(1/2) = -2
Equation of line in slope intercept form : y = mx + b
m = - 2
So, option c will be the equation of the line perpendicular to FG
Determine the equation of a line that passes through the points: (3, 12) and (- 2, -13)
Answers
Answer:
Step-by-step explanation:
(-13-12)/(-2-3)= -25/-5= 5
y - 12 = 5(x - 3)
y - 12 = 5x - 15
y = 5x - 3
The base BC of an equilateral triangle ABC lies on y-axis. The coordinates of points C are (0, -3). The origin is the mid –point of the base. Find the coordinates of the points A and B. Also find the coordinates of another point D such that BACD is a rhombus.
Answers
Answer
Point b is (0,0) Point a is (3,-2) Im not doing the second part
Step-by-step explanation:
PLEASEEEEANSWERWhich of the following linear equations represents the data chart below? y = 3x + 5 y = x − 5 y = 3x + 11 None of these choices are correcT
Answers
Answer:
y=3x+5
Step-by-step explanation:
(TIMED PLEASE HELP!!) The area of the two triangles is given by the functions: Area of Triangle A: x2 + x Area of Triangle B: x2 – 3x Which function represents the sum of the areas of the two triangles? (a) 4x (b)–4x (c) x2 – 4x (d) 2x2 – 2x
Answers
Answer:
D
Step-by-step explanation:
Here, we are given the values of the areas of the two triangles and we want to find the sum of these areas
The sum can be found by adding the area of triangle A to the area of triangle B
That would be;
x^2 + x + x^2-3x = 2x^2 -2x
Answer:
d
Step-by-step explanation:
Write the equation of a function whose parent function, f(x) = x + 8, is shifted 2 units to the right.
Answers
This has to do with function transformations. First we can set it up differently, where we are solving for y instead of f(x)
y=f(x)+8
The points of the graph are (x, f(x)+8)
To move the graph to the right, we need to subtract by 2 within the parentheses
y=f(x-2)+8
Now the point would be like (x, f(x-2)+8)
Answer:
[tex]\huge\boxed{f(x - 2) = x + 6}[/tex]
Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x + n) - shift the graph n units to the left
f(x - n) - shift the graph n units to the right
===========================================
f(x) = x + 8
shift the graph 2 units to the right
f(x - 2) = (x - 2) + 8 = x - 2 + 8 = x + 6
Kabir wants to know the volume of a solid right pyramid with a square base.
Answers
The perimeter of a rectangle is 60 cm. The ratio of length to width is 3:2. Find the length and width of the rectangle.
Answers
Explanation:
Find the semi rectangle:
60/2 = 30
Now we can find the length and width using the semi rectangle:
L = 30 x 3/5 = 18
W = 30 x 2/5 = 12
Answer:
See below.
Step-by-step explanation:
The perimeter = 2*length + 2 * width.
As the ratio is 3:2 the fraction 3 / (3 +2) is used to find the length:
The measure of the 2 lengths = 3/ (3+2) * 60
= 3/5 * 60
= 36 cm
So the measure of the length = 18 cm
So the measure of the width = (60 - 36) / 2
= 24/2
= 12 cm.
please helllppppp........
Answers
8% lower means the gauge is showing 92% of the original pressure
( 100% - 8% = 92%)
Divide the pressure the gauge is showing by 92%
33.58 / 0.92 = 36.5
The actual pressure is 36.5
Which was one of the goals for some advocates of the Progressive movement?
A: conservation
B: laissez-faire economy
C: welfare
D: establishment of a national bank
Answers
Answer:
d
Step-by-step explanation:
S = { x ; x is a multiple of 8. 0 < x <30 } Describe this set in another method
Answers
Step-by-step explanation:
Hi,
Let's describe it in listing method;
S= {8,16,24}.
Hope you got it...
Sadie simplified the expression √54a^7b^3, where a>=0, as shown: √54a^7b^3= √3^2•6•a^2•a^5•b^2•b=3ab √6a^5b
Answers
Answer:
We are to find the error made by Sadie and then find the correct simplification.
The error Sadie made is that she wrote [tex]a^7[/tex] as [tex]a^2 * a^5[/tex] instead of [tex]a^6 * a[/tex].
The square root of [tex]a^6[/tex] is [tex]a^3[/tex] and so she could have further simplified.
The correct simplification is shown below:
[tex]\sqrt{54a^7b^3} = \sqrt{2 * 3 * 3 * 3 * a^6 * a * b^2 * b} \\ \\= \sqrt{3^2 * a^6 * b^2 * 6 * a * b} \\\\= 3a^3b\sqrt{6ab}[/tex]
Answer:
We are to find the error made by Sadie and then find the correct simplification.
The error Sadie made is that she wrote as instead of .
The square root of is and so she could have further simplified.
Step-by-step explanation:
On edge2021
solve : 3/2 X -7/2 = 5x +14
Answers
Answer:
The answer to your question is -5
Step-by-step explanation:
Data
[tex]\frac{3}{2}x - \frac{7}{2} = 5x + 14[/tex]
Process
1.- Subtract 5x in both sides
[tex]\frac{3}{2} x - \frac{7}{2} - 5x = 5x -5x + 14[/tex]
2.- Simplify
[tex]- \frac{7}{2} x - \frac{7}{2} = 14[/tex]
3.- Add 7/2 in both sides
[tex]-\frac{7}{2} x = 14 + \frac{7}{2}[/tex]
4.- Simplify
- [tex]\frac{7}{2} x = \frac{35}{2}[/tex]
5.- Solve for x
x = [tex]\frac{35}{2} / - \frac{7}{2}[/tex]
6.- Simplify
x = -5
Answer: x = -3.71
Step-by-step explanation:
3/2*-7/2=5x+14
-4.55=5x+14
Subtract 14
-18.55=5x
Divide by 5
x = -3.71
Hope it helps <3
i need help with this
Answers
Answer:
Step-by-step explanation:
diameter=2×5=10 cm
32/10=3.2≈3
128/10=12.8≈12
total number of squares=12×3=36
The tire of a car has a radius of 10.5 inches. How far will the car travel for 200 revolutions? Use
22/7 as an approximation for it.
Answers
Answer:
The car will travel approximately 13200 inches
Step-by-step explanation:
Notice that in one revolution, the car travels exactly the length of the tire's circumference, that is: [tex]2\,\pi\,R[/tex]
Then, in 200 revolutions the car will travel 200 times that amount:
[tex]200\,(2\,\pi\,R)=400\ \pi\,R[/tex]
So for the given dimension of the tire, and using the approximation [tex](\pi\approx22/7)[/tex], this distance would be:
[tex]400\ \pi\,R=400\,\,\frac{22}{7} \,\,10.5\,\,in=13200\,\,in[/tex]
Activity: A flagpole has cracked 1.7 m from the ground and fallen over, as if hinged. The top of the flagpole hit the ground 3 m from the base. How tall was the flagpole before it fell?
Answers
Answer:
Height of flagpole before it fell = 5.15 m
Step-by-step explanation:
Given:
Height of remain pole (p) = 1.7 m
Distance from base (b) = 3 m
Find:
Height of flagpole before it fell
Computation:
Using Pythagorean theorem
H = √ p² + b
Length of broken part = √ 1.7² + 3²
Length of broken part = √ 2.89 + 9
Length of broken part = √ 11.89
Length of broken part = 3.45 (Approx)
Height of flagpole before it fell = Length of broken part + Height of remain pole
Height of flagpole before it fell = 3.45 + 1.7
Height of flagpole before it fell = 5.15 m
2.) Calculate x, to the nearest tenth of a meter
Answers
Answer:
63.4°
Step-by-step explanation:
The following data were obtained from the question:
Opposite = 6 cm
Adjacent = 3 cm
Angle x =?
The value of angle x can be obtained as follow:
Tan x = Opposite/Adjacent
Tan x = 6/3
Tan x = 2
Take the inverse of Tan.
x = Tan¯¹ 2
x = 63.4°
Therefore, the value of angle x is 63.4°
Answer:
63.4°
Step-by-step explanation:
In a particular year, a total 44,064 of students studied in two of the most popular host countries when traveling abroad. If 8382 more students studied in the most popular host country than in the second most popular host country, find how many students studied abroad in each country. There were ____ students who studied abroad in the most popular host country.
Answers
Step-by-step explanation:
Total=44,064
Host countries= 2
2nd most popular country= x
Popular country=x+8382
x+x+8,382=44,064
2x=44,064-8,382=35,682
2x=35,682
x=17,842
2nd most popular=17,842
Popular=17,842+8,382=26,224
Answer=26,224
There were students who studied abroad in the most popular host country by forming the equation is 26,224
How equations are formed?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.
Here, It is given:
Total number of students = 44,064
Number of Host countries= 2
Let the 2nd most popular country= x
So, the Popular country becomes x+8382
Now, According to the question:
⇒x+x+8,382=44,064
⇒2x=44,064-8,382=35,682
⇒2x=35,682
⇒x=17,842
Hence, The number of students in 2nd most popular country=17,842
And, The number of students in a popular country
= 17,842+8,382=26,224
To learn more about forming equations, visit:
https://brainly.in/question/29041303
#SPJ2
Find the interquartile range for a data set having the five-number summary: 5.6, 11.1, 19.2, 24.5, 33.3
Answers
Answer:
interquartile range=20.55
Step-by-step explanation:
5.6, 11.1, 19.2, 24.5, 33.3
median is 19.2
Q1=(5.6+11.1)/2=8.35
Q3=(24.5+33.3)/2=28.9
interquartile range= Q3-Q1=28.9-8.35=20.55
There are 86{,}40086,40086, comma, 400 frames of animation in 111 hour of anime. How many frames are there per second? There are 3600 seconds in one hour
Answers
Answer
24 frames per second
Step-by-step explanation:
Total frames=86,400
Total time=1 hour
Find frame per second
1 hour= 60 minutes*60 seconds
1 hour=3600 seconds
Frame per second=Total frames/Total number of seconds
=86,400/3600
=24 frames per second
Please answer it now in two minutes
Answers
Answer:
VX = 8.8 in
Step-by-step explanation:
By applying Sine rule in the right triangle WXV,
Sin(∠W) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{\text{VX}}{\text{WX}}[/tex]
Sin(34)° = [tex]\frac{VX}{15}[/tex]
VX = 15.Sin(34)°
= 8.8379
≈ 8.8 in.
Therefore, measure of side VX is 8.8 in.
A small airplane can fly 12 miles in 3 minutes. At this rate, how far can the airplane fly in 1 hour?
Answers
Answer:
The airplane can fly up to 240 miles in a hour
Step-by-step explanation:
Cross multiply
(12)(60)=3x
720=3x
Divide 3 on both sides
x=240
There are 60 minutes in 1 hour.
60 ÷ 3 = 20
12 × 20 = 240
In one hour, the airplane could fly at 240 miles.