The airplane's path is an illustration of right-triangles
The angle of descent is 2.5 degreesThe plane's path is 150.15 milesThe angle of descentRepresent the angle of descent with [tex]\theta[/tex]
The angle of descent, [tex]\theta[/tex] is then calculated using the following tangent identity
[tex]\tan(\theta) = \frac{35000\ feet}{150 \ miles}[/tex]
Convert feet to miles
[tex]\tan(\theta) = \frac{6.6287879\ miles }{150 \ miles}[/tex]
Divide
[tex]\tan(\theta) = 0.0442[/tex]
Take the arc tan of both sides
[tex]\theta = \tan^{-1}(0.0442)[/tex]
Evaluate the arc tan
[tex]\theta = 2.5[/tex]
Hence, the angle of descent is 2.5 degrees
The plane's pathRepresent the plane's path with p
The plane's path is calculated using the following Pythagoras theorem
[tex]p^2 = (150\ miles)^2 + (35000\ feet)^2[/tex]
Convert feet to miles
[tex]p^2 = (150\ miles)^2 + (6.6287879\ miles)^2[/tex]
Evaluate
[tex]p^2 = 22543.940829[/tex]
Take the square roots
[tex]p = 150.15[/tex]
Hence, the plane's path is 150.15 miles
Read more about right-triangles at:
https://brainly.com/question/2437195
Brass contains copper and zinc in the ratio 2:1. How much ZINC is there in 750 g of brass?
Answer:
250
Step-by-step explanation:
copper: zinc : total
2 1 2+1 =3
We have 750 brass
750/3 = 250
Multiply each by 250
copper: zinc : total
2*250 250 3*250
500 250 750
The lateral area of a right cone which has a base diameter of 4 units and a height of 10 units is:
Answer:
≈64.08
Step-by-step explanation:
Lateral Area=πr[tex]\sqrt{h^{2} +r^{2} }[/tex]
Radius is 1/2 of the diameter so r=2
Height=10
Substitute:
: [tex]3.141(2)\sqrt{10^{2}+2^{2} } \\6.282\sqrt{100+4} \\6.282\sqrt{104} \\ 64.066.282*10.2\\ 64.076\\\\[/tex]
64.076 rounded = 64.08
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
9 years.
Step-by-step explanation:
Make x the number of years passed.
[tex]\frac{39+x}{3+x}=4[/tex]
12 + 4x = 39 + x
27 = 3x
x = 9
The line plot shows the result of a survey asking students how many hours they spent reading last week. How many students spent 5 or more hours reading?
Answer:
15 total students
Step-by-step explanation:
Based on the line plot picture that is attached below it can be calculated that a total of 15 students spent 5 or more hours last week reading. This can be easily calculated by adding all the x's on the marks of 5 hours or more. With both the boys and girl students combined the tally was the following
5 hours : 4 students
6 hours : 1 student
7 hours : 3 students
8 hours : 3 students
9 hours : 0 students
10 hours: 2 students
11 hours : 2 students
12 hours : 0 students
adding up to 15 total students
Please help me on this question
Answer:
Is answer is option B
Answer:
B
Step-by-step explanation:
Given the 2 equations
x - 2y = 3 → (1)
2x - 3y = 9 → (2)
Multiplying (1) by - 2 and adding to (2) eliminates the term in x
- 2x + 4y = - 6 → (3)
Add (2) and (3) term by term to eliminate x, that is
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
x - 2(3) = 3
x - 6 = 3 ( add 6 to both sides )
x = 9
Solution is (9, 3 ) → B
6. Find the area of a sector with a central angle of 160° and a radius of 5.7 cm. Round to the nearest tenth.
Answer:
[tex]45.4 cm^2[/tex]
Step-by-step explanation:
The area of the sector of a circle is given as:
[tex]\frac{\alpha }{360} * \pi r^2[/tex]
where α = central angle of the sector
r = radius
The central angle of the sector is 160° and its radius is 5.7 cm. Its area is:
A = [tex]160/360 * \pi * 5.7^2[/tex]
A = [tex]45.4 cm^2[/tex]
A man divides his 360 cattle between his son in the ratio 7: 6: 5. Find the smallest share
360/18=20
20*7=140
20*6=120
20*5=100
Answer=140:120:100
Answer: smallest share is 100
Step-by-step explanation:
7:6:5
Add the numbers so 7+6+5=18
Divide 360 by 18 which equals 20
Multiply each ratio by 20 so...
7×20:6×20:5×20
140:120:100
the perimeter of a rectangle is 120 feet. the width of the rectangle.
What the answer to this
Answer:
I think it might be a I don't know for sure though I just need some more points so I can ask a question myself sorry if this didn't help
Three investors own a company. One partner owns 1/4 of the company, while the second partner owns 2/5 of the company. How
much does the third partner own?
Answer:
7/20
Step-by-step explanation:
you find the least common denominator then you add them which gives you 13/20 then you subtract 20/20 minus 13/20 which gives you 7/20
have a meh day
Answer:
[tex]\frac{7}{20}[/tex]
Step-by-step explanation:
First, add the shares of the first two investors
[tex]\frac{1}{4} +\frac{2}{5} = \frac{13}{20}[/tex]
Then, you subtract that from the total shares of the company, which is 1
[tex]1 - \frac{13}{20} = \frac{7}{20}[/tex]
What is the slope of the graph? slope = -1/3 slope = -3 slope = 3 slope = 1/3
Answer:
The slope is -3
Step-by-step explanation:
This is so because the line in pointing down, leading to the fact that the slope is negative, and rise over run is 3/1......
Therefore, the slope of the line is -3
To find the slope of the line, first start with a point on the graph.
Let's use the point (0,3) which we call point A.
The other point we will call point B.
Now remember that slope can be found using the ratio rise/run
between any two points that are on that line.
To get from point A to point B along this line, we must
first go down 3 units so we say that our rise is -3.
From there we move 1 unit to the right so our run is 1.
So our slope or rise/run is -3/1 which reduces to -3.
The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest penny.
Answer:
£537.63
Step-by-step explanation:
Let the original price of the computer be x.
The price of a computer was decreased by 7% to £500. This implies that:
x - 7/100 * x = 500
x - 0.07x = 500
0.93x = 500
x = 500/0.93 = £537.63
The price before the decrease was £537.63.
H and J are both between G and K such that GH = JK and H is between G and J.
Given: GH=x+10
HJ=8
JK=2x-4
Find GJ.
GJ=
Answer:
32
Step-by-step explanation:
So the order of the points is: GHJK
GH = x+10 =JK
HJ=8
JK=2x-4
JK = x+10=2x-4
x+10=2x-4
10+4=2x-x
x=14
GH= 14+10 =24
GJ = GH +HJ = 24+ 8=32
LAST QUESTION with picture pls help
Answer:
2.57 cm
Step-by-step explanation:
sides of full frame with photo:
2x+16 and 2x+10
Area A= (2x+16)(2x+10)
Area of photo alone P= 16*10
As per question: A=2P
(2x+16)(2x+10)= 2*16*104(x+8)(x+5)=2*2*8*10x²+13x+40=80x²+13x-40=0solving this we get x= 2.57 cmAgain PLEASE ANSWER
You have designed a concrete patio which is the shape of a parallelogram and a triangle combined. The parallelogram has a length of 12 m with a height of 4 m. The triangle has a base of 12 m with a height of 5 m. Calculate both the area and perimeter of this patio.
Answer:
perimeter is 35.6 area is 108
Step-by-step explanation:
it helps to draw a picture. first the perimeter of the rectangle is 4x2 +12=20 we wont be needing one of the twelves because it is connected to the triangle the area or the rectangle is 12x4=48. now for the triangle. we will need the Pythagorean theorem to find the sides first split the base in half 12/2=6 now we use the height and the base [tex]6^{2} +5x^{2} =[/tex]61 the square root of 61 is about 7.8 the perimeter is 7.8+7.8 +12 but we wont need the base because it is attached to the rectangle =15.6 the area of the triangle is like half a square Base times height though 12x5=60
the whole perimeter if 15.6+20=35.6 the area is 60+48=108
Answer:
50 m squared
Step-by-step explanation:
You have to solve for the areas and then add
Please Help !!! MATHS GCSE DATA HANDLING QUESTION. thanks xx
Answer:
A) 29men
B) 91cm
C) 13cm
Step-by-step explanation:
Men with waist of 85cm = 11
A.) Men with waist of more than 85cm = (total number of men - 11) = (40 - 11) = 29men
B.) median waist :
Median = (n) / 2
Where n = number of observations
Median = (40) / 2 = 40/2 = 20th
Taking the intersection of the 20th point on the x-axis,
Median waist = 91cm
C.) Interquartile range(IQR) = (Q3 - Q1)
Q3 = 3/4(n)
Q3 = 0.75 × 40 = 30
Q3 = 97cm
Q1 = 1/4(n)
Q1 = 0.25 × 40 = 10
Q1 = 84cm
IQR = 97 - 84 = 13cm
what is the greatest common factor for 9m+ 27m²
Answer:
9m
Step-by-step explanation:
Both of them are divisible by 9 and 1 m
When you factor and pull out 9m, you will get
9m (1 + 3m)
Molly is making a quilt for her mother. The quilt will have several designs. One of the designs is shown below. What is the total perimeter of the design below?
Answer: (A) [tex]12+12\sqrt{12}[/tex] .
Step-by-step explanation:
Perimter is the sum of the all sides of a figure.
As the given design has three exactly same or identical triangles with side-lengths [tex]2\sqrt{2}\ in, 2\sqrt{2}\ in, 4\ in[/tex] joined by ending vertices.
Then, the combined operimetr of thge design would be :
3 x (Perimeter of the one triangle)
For this , Perimeter of one triangle = [tex]2\sqrt{2}+2\sqrt{2}+4\ in =(4\sqrt{2}+4) = 4(\sqrt{2}+1) \ in[/tex]
Now , the combined operimetr of thge design would be :
[tex]3\times4(\sqrt{2}+1)=12(\sqrt{2}+1)\ in[/tex] or [tex]12+12\sqrt{12}\ in[/tex]
Hence, the correct option is (A) [tex]12+12\sqrt{12}[/tex] .
Answer:
it is a
Step-by-step explanation:
Express 25 as a percentage of 75. *
4 points
A. 300%
B. 100%
C. 50%
D. 33.3%
｡☆✼★ ━━━━━━━━━━━━━━ ☾
25 is 1/3 of 75
You can calculate it this way:
(25/75) x 100 = 33.3333
Thus, your answer would be option D
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
D.
Step-by-step explanation:
First make it as a fraction:
[tex]\frac{25}{75}=\frac{1}{3}[/tex]
[tex]\frac{1}{3}[/tex] = 33.3333...%
WILL MARK BRAINLIEST!!! Your friend states that for functions of the form y = a sin bx and y = a cos bx, the values of a and b affect the x-intercepts of the graph of the function. Is your friend correct? Explain
Answer:
The sine function won't be affected, but the consine function will.Step-by-step explanation:
First of all, remember that [tex]sin(0)=0[/tex] and [tex]cos(0)=1[/tex]. As you can see, the sine function won't be affect by [tex]a[/tex], because its value is null.
However, the x-intercept of the cosine function depends on the [tex]a[/tex] value, because the function is equal to the unit.
On the other hand, the variable [tex]b[/tex] won't affect any function, because it would be always zero.
Therefore, the sine function won't be affected, but the consine function will.
can someone work this out ?
Answer:
297cm^3π
Step-by-step explanation:
R is a radius of the base of a cone, and r of top surface radius.
V=(1/3)×π×depth×(r^2+r×R+R^2)
V=(1/3)×π×3cm×(3^2+3×4.5×4.5^2)
V=(1/3)×π×3cm×(9cm^2+3cm×4.5cm×20.25cm^2)
V=(1/3)×π×3cm×(12cm^2×24.75cm^2)
V=(1/3)×π×3cm×(297cm^4)
V=(1/3)×π×891cm^3
V=(891cm^3/3)π
V=297cm^3π
hope it help yuh
plz mark brianliest if its correct
(a) The marked price of a radio is Rs. 6,000. After giving a certain percent of dis-
count and leaving 10% VAT, its price becomes Rs. 5,610. What is the discount
percent ?
Answer:
6.5%
Step-by-step explanation:
M.P= ₹6,000
Amount excluding VAT= 5,610
discount= x/100
discount= 6000*x/100=60x
equating
6000-60x= 5610
6000-5610=60x
390=60x
390/60=x
6.5=x
therefore, there is a discount of 6.5%
What are the two solutions of 2x^2 = -X^2 - 5x - 1?
A. the y-coordinates of the intersection points of the graphs of y = 2x^2 and y = x^2 – 5x - 1
B. the x-coordinates of the x-intercepts of the graphs of y = 2x^2 and y = -x^2 – 5x - 1
C. the x-coordinates of the intersection points of the graphs of y = 2x^2 and y = -x^2 – 5x - 1
D. the y-coordinates of the y-intercepts of the graphs of y = 2x^2 and y = -x^2–5x - 1
Answer:
Step-by-step explanation:
Let's solve 2x^2 = -X^2 - 5x - 1. Consolidate all terms on the left side and write 0 on the right side:
3x^2 + 5x + 1 = 0. This is a quadratic equation. Let's solve it for x using the quadratic formula:
a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13. Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.
Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."
Answer C would be correct if and only if we write y = x^2 - 5x - 1.
Answer:
C: the x-coordinates of the intersection points of the graphs of y = 2x2 and y = –x2 – 5x – 1
Step-by-step explanation:
I got it right on Edg. 2020
please van you work out 5/6 of 54
Answer:
45
Step-by-step explanation:
1/6 of 54= 9
9*5=45
please help me, maths is hard, and at the moment i wish maths wasn't real. brainliest will be given
Answer:
£60
Step-by-step explanation:
Let [tex]x[/tex] be the original price.
[tex]x \times (1-10/100) = 54[/tex]
[tex]x \times 90/100 = 54[/tex]
[tex]0.9x=54[/tex]
[tex]x=54/0.9[/tex]
[tex]x=60[/tex]
(6) Work out
5 1
6 12
Answer:
=123
Step-by-step explanation:
Can someone please help
Answer:
The numbers to input are 2, 2 , 7
Step-by-step explanation:
252 = 2² * 3² * 7
So the numbers to input are 2, 2 , 7
John has two jobs and earns a total of $2,345 per month. What percent of his gross income does John receive from his second job where he makes $609.70 a month?
Answer:
10000000.9
Step-by-step explanation:
An equilateral triangle is always/sometimes/never similar to a scalene triangle, because we can always/sometimes/never map one onto the other using only dilations and rigid transformations.
Answer:
The answer is "never".
Step-by-step explanation:
The triangle isn't equilateral to the scalene, because it has the equilateral triangle that has all similarities as well as the angles steps.It also the face of the scalene triangle is different and the sides are not always the same.15 points! Please help me with this question
Answer:
48 f t
Step-by-step explanation:
