Answer:
100m
Step-by-step explanation:
x=the height of the tower
100m=the distance from the tower
45 degrees the angle of elevation
Drawing a diagram allows you to see that you can form a 'right-angled triangle'.
Using trig. :
Tan 45=x/100m
multiply both sides by 100m
100m*tan 45=100m
Answer:
[tex]\Huge \boxed{\mathrm{100 \ meters}}[/tex]
Step-by-step explanation:
The base of the right triangle created is 100 meters.
The angle between the base and the hypotenuse of the right triangle is 45 degrees.
We can use trigonometric functions to solve for the height of the tower.
[tex]\displaystyle \mathrm{tan(\theta)=\frac{opposite}{adjacent} }[/tex]
Let the height be x.
[tex]\displaystyle \mathrm{tan(45)}=\frac{x}{100}[/tex]
Multiplying both sides by 100.
[tex]\displaystyle 100 \cdot \mathrm{tan(45)}=x[/tex]
[tex]100=x[/tex]
The height of the tower is 100 meters.
If the cost of fencing a rectangular garden per meter is rupees 5 . Find the amount needed to do the fencing of the garden with length 400 m and breadth 150 m .
Answer:
6500 rupees
Step-by-step explanation:
We are given a rectangular garden is the dimensions of:
Length = 400 m
Breadth = 150 m
Perimeter of a rectangle = 2(L + B)
= 2(400 + 150)
= 2(650)
= 1300m
We are told that the cost of fencing a rectangular garden per meter is rupees 5
1 m = 5 rupees
1300m =
Hence, the cost to fence the entire garden = 1300 × 5 rupees
= 6500rupees
Please help me answer I need an answer asap:3
Answer:
please mark my answer brainliest
Step-by-step explanation:
it's 115
Answer:
115 degrees.
Step-by-step explanation:
< DBC = (180 - 40) / 2 = 70 ( as it is a base angle of an isosceles Δ)
< EBD = 45 degrees ( as the diagonal of a square bisects 90 degree <).
So < EBC = 70 + 45 = 115 degrees.
Pls help me , idk how to do
Answer:
PQRS is a parallelogram with right-angle corners
Step-by-step explanation:
We know that the midsegment of a triangle is parallel to the base.
QR is the midsegment of triangle BCD, so is parallel to BD.
SP is the midsegment of triangle DAB, so is parallel to BD.
QR and SP are both parallel to BD, so are parallel to each other.
RS is the midsegment of triangle CAD, so is parallel to AC.
PQ is the midsegment of triangle ABC, so is parallel to AC.
RS and PQ are both parallel to AC, so are parallel to each other.
__
We have shown that opposite sides of PQRS are parallel to each other, so the figure is at least a parallelogram.
__
By virtue of the congruence of corresponding angles where a transversal crosses parallel lines, each of the so-far named lines can be shown to be perpendicular to any of the lines it meets.* Hence the figure PQRS must be a parallelogram with right angles, a rectangle.
_____
* Transversal BD crosses PQ, AC, and RS at right angles. Hence, transversals RS and PQ cross QR, BD, and SP at right angles. That is, the angles at corners P, Q, R, and S of the parallelogram are right angles.
I'LL GIVE BRAINLIEST !!! FASTER
please answer that 2 QUESTIONS please provide the explaination thankyouu
Answer:
9 (a)
x=50
y=75
(b)
(i)
y=105
(ii)
y=145
Step-by-step explanation:
The explanation is in the picture!
Determine the number of solutions for each quadratic.
1.) 4x^2-3x+4=0
2.)9x^2-12x+4=0
PLEASE HELP!!!
Answer:
1. no solution 2. has one solution
Step-by-step explanation:
first you must find the discriminant of each quadratic also remember
if the discriminant is positive b^{2}-4ac> 0, then the quadratic equation has two solutions.
if the discriminant is equal b^{2}-4ac= 0, then the quadratic equation has one solution.
if the discriminant is negative b^{2}-4ac< 0, then the quadratic equation has no solution.
1. the discriminant is [tex]\sqrt{b^2-4ac}[/tex] and when you plug in the numbers you get -55 which is less than 0
2. the discriminant is 0 so there is one solution
Answer:
1. has no real roots, no solutions (unless you can have imaginary solutions)
2. touches the x axis in one point, so one solution
Step-by-step explanation:
-19+[27-{14+(5-2)×4÷2
EXAMPLE QUESTION+ANSWER;-
16 - [5 - 2 { 14 of 2 - (8/4 * 2 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (2 * 2 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (4 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (3 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - 6} ]
= 16 - [5 - 2 { 28 - 6} ]
= 16 - [5 - 2 {22} ]
= 16 - [5 - 44]
= 16 + 30
= 55
Answer: 55
Finding x- and y- intercepts
y = 5х – 6
Answer:
Below!
Step-by-step explanation:
X intercept
y = 5x - 6
0 = 5x - 6
-5x = -6
divide both sides by -5
x = 6/5 or 1.2
(1.2, 0)
Y intercept
y = 5x - 6
y = 5(0) - 6
y = -6
(0, -6)
Hope this helps! Best of luck <3
Please i need to know the meaning of this! : Thanks.
Write a real-life problem that you can solve using a 45 degree, -45 degree, -90 degree triangle with an 18-ft hypotenuse. Describe your solution
Answer:
A triangle with angles:
"45°, 45°, 90°"
Is a triangle rectangle, with two catheti of equal length.
Now, there is a lot of problems that you can solve with this:
"Suppose that you want to find the height at which you need to attach a wire in a tree, such that the distance between the tree and the ground is 18ft, and the distance between the base of the tree and the two points where the wire is fixed is exactly the same"
Well, here we have a triangle rectangle with a hypotenuse of 18 ft, with cathetus of equal length (the catheti are the tree and the distance between the base of the tree and the point where the wire is attached at the ground)
And because the catheti are equal, then the angles are 45°, 45° and 90°.
150°
2x + 100°
X =
degrees
Answer:
x = 25°
Step-by-step explanation:
The 2 angles are vertical angles and are congruent , then
2x + 100 = 150 ( subtract 100 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25°
Answer: x = 25°
Step-by-step explanation:
⇒2x + 100 = 150
⇒2x = 150-100
⇒x = 50/2
⇒x = 25
Reason (VOA) vertically opposite angles are equal.
please click thanks and mark brainliest if you like :)
We want to factor the following expression: 16x^4-25
Answer:
(4x2 +5)⋅(4x2 −5)
Please help me to solve this question
Answer:
x = 64°, y = 32°
Step-by-step explanation:
The sum of the angles on a straight line = 180° , then angles on PS are
2x + y + 20 = 180 ( subtract 20 from both sides )
2x + y = 160 → (1)
Angles on QT are
x + 3y + 20 = 180 ( subtract 20 from both sides )
x + 3y = 160 → (2)
Solve (1) and (2) simultaneously
Rearrange (1) expressing y in terms of x by subtracting 2x from both sides
y = 160 - 2x → (3)
Substitute y = 160 - 2x into (2)
x + 3(160 - 2x) = 160 ← distribute and simplify left side
x + 480 - 6x = 160
- 5x + 480 = 160 ( subtract 480 from both sides )
- 5x = - 320 ( divide both sides by - 5 )
x = 64
Substitute x = 64 into (3)
y = 160 - 2(64) = 160 - 128 = 32
Then
x = 64°, y = 32°
Translate the following phrase into an algebraic expression using the variable m. Do not simplify
the cost of renting a car for one day and driving m miles if the rate is $48 per day plus 50 cents per mile
Answer:
y = 0.5X + 48
Answer:
48 + 0.50m
Step-by-step explanation:
m, the variable, equals to the number of miles driven. Since there is a base fare of $48, that will be the constant. It is $0.50 per mile, so it's 0.50m. Substituting for m, the miles driven, will give you the final cost.
Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05. r=0.767, n=25
Answer:
the critical value for r at [tex]r_{0.05, 23}[/tex] = 0.396
Step-by-step explanation:
Given that:
the linear correlation coefficient r = 0.767
the sample size n = 25
the level of significance ∝ = 0.05
The degree of freedom is expressed with the formula df = n - 2
df = 25 - 2
df = 23
the critical value for r at [tex]r_{0.05, 23}[/tex] = 0.396
The linear correlation coefficient r = 0.767 is not in the region between the critical values of -0.396 and +0.396. We can therefore conclude that the linear correlation coefficient is significant.
can u explain and answer this question for me thanks
Answer:
f(x)= x-6
g(x)= x^1/2 (x+3) =√x(x+3) = x √x + 3√x
g(x) × f(x)
=(x√x + 3√x) (x-6)
= x²√x -6x√x + 3x√x - 18√x
= x²√x -3x√x - 18 √x
= x^5/2 - 3x^3/2 - 18^1/2
= √x^5 - 3√x^3 - √18 (B)
Note:
√x = x^1/2
x √x = x^1 × √x= x^1+1/2= x^3/2
x²√x= x^2 × x^1/2 = x^2+1/2 = x^ 5/2
I hope this helps
if u have question let me know in comments ^_^
state the vertical distance and horizontal distance of the two pairs of points given.
Answer:
the horizontal distance is the x-intercept, and the vertical distance is the y-intercept
1) x-int=1, y-int=1
2) x-int=6, y-int=5
A line segment has the endpoints T(10, 4) and U(8,4). Find the coordinates of its midpoint
M.
Write the coordinates as decimals or integers.
M =
Answer:
(9,4)
Step-by-step explanation:
Using the Midpoint theorem, we have
x=(10+8)/2=18/2=9
y=(4+4)/2=8/2=4
Is this relation a function?
Answer:
Hello,
Answer D
Step-by-step explanation:
In a function a value may not have 2 images.
y1=f(x1) and y2=f(x1) ==> y1=y2
list the next three terms in the following sequence
1,2,4,7, 11, 16
Answer:
22, 29, 37
Step-by-step explanation:
There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.
Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one
1+0=1
1+1=2
2+2=4
4+3=7
7+4=11
11+5=16
16+6=22
22+7=29
29+8=37
22, 29, 37
Plz help guys, it is a pretty easy sum
Answer:
a3+13a
Step-by-step explanation:
sorry I don't know how to solve this
Answer:+-3
Explanation:
I added 4 on both side so that a^2+1/a^2-2 becomes a^2+1/a^2+2 which is Special products of (a^2+1/a^2).
the function y = a / x is given Which function will be obtained if the point P (-2,3) belongs to the graph of the given function
Answer:
The function is y = -6 / x.
Step-by-step explanation:
Since (-2, 3) belongs to the function, we know that x = -2, y = 3 is a solution to the function so when we plug those values in to solve for a, we get:
3 = a / (-2)
3 * (-2) = a / (-2) * (-2)
-6 = a so the function is y = -6 / x.
Find the value of x
HELPP PLEASEE
GIVING 20 points!!!
Answer:
A 6.09
Step-by-step explanation:
what is 2/3 divided by -1 1/3
Find the distance on the number line between 14.3 and 4.1.
[tex]\\ \sf\longmapsto 14.3-4.1[/tex]
[tex]\\ \sf\longmapsto \dfrac{143}{10}-\dfrac{41}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{143-41}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{102}{10}[/tex]
[tex]\\ \sf\longmapsto 10.2[/tex]
LESSON 2-1 PRACTICE
V 13. Attend to precision. Justify each step in the solution of 5x + 15 -
below by stating a property or providing an explanation for each
5x + 15 = 0
5x + 15 – 15 = 0 – 15
5x = -15
x = -3
Answer:
Value of x is -3
Step-by-step explanation:
Given:
5x + 15 = 0
Find:
Value of x
Computation:
5x + 15 = 0
From subtracting 15 from both side (LHS and RHS)
5x + 15 – 15 = 0 – 15
5x = -15
From dividing 5 from both side (LHS and RHS)
5x / 5 = -15 / 5
x = -3
So,
Value of x is -3
Rita got three colors of beads, half of them are pink. She used all her pink beads to make some bracelets. If the number of pink beads she used for each bracelet is one eighths of the total number of beads, how many bracelets did she make?
Answer: she made 4 bracelets.
Step-by-step explanation:
Let x, y, z are the number of three kinds of beads, where x= number of pink beads.
As per given, number of pink beads= half of total beads
[tex]\Rightarrow\ x=\dfrac{1}{2}(x+y+z)\\\\\Rightarrow 2x= x+y+z\\\\\Rightarrow\ x= y+z\ \ \ ...(i)[/tex]
Also, She used all pink beads, Number of pink beads she used for each bracelet= one eighths of the total number of beads
[tex]\dfrac{1}{8}(x+y+z)\\\\=\dfrac{1}{8}(x+x)\ \ \ [ {\text{From (i)}}][/tex]
[tex]=\dfrac{1}{8}(2x)\\\\=\dfrac{x}{4}[/tex]bracelets =
Number of bracelets = (Number of pink beads) ÷ (Number of pink beads used for each bracelet)
[tex]=\dfrac{x}{\dfrac{x}{4}}=4[/tex]
Hence, she made 4 bracelets.
PLEASE HELP!!
Complete the equation.
(13)^2 (13)^-14 (13)^5 = 13 [ ]a0
Answer:
(13)^2 (13)^-14 (13)^5
=2197
Answer:
13^3
Step-by-step explanation:
-4+2+5=3
is it . that or something else ??
44) 93
O 2 remainder of 6
2 remainder of 7
2 remainder of 4
2 remainder of 5
Help ASAP ASAP!!! if 3,p,q,24 are the consecutive terms of an exponential, find the values of p and q.
Step-by-step explanation:
According to Geometric Progression :
[tex]a(nth) = a1 \times {r}^{n - 1} [/tex]
a(nth) = nth term of the G.P.
a(nth) = nth term of the G.P. a1 = 1st term of G.P.
a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ratio
a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ration = terms in the G.P.
Now,
[tex]24 = 3 \times {r}^{4 - 1} [/tex]
[tex]r = 2[/tex]
The G.P. Is 3, 6, 12, 24.
Thus, p = 6 and q = 12
what does range mean in maths