Given the 22 m. horizontal distance and the angles of elevation of 26°
and 31° gives the height of the building as approximately 2.49 meters.
How can the height of the building be found?Horizontal distance from the building = 22 m
Angle of elevation to the top of the roof = 26°
Angle of elevation to the top of the antenna = 31°
Height of his eyes from the ground = 1.53 m
Required:
The height of the antenna.
Solution:
In a right triangle, we have relative to an angle of the triangle, we have;
Opposite side = Adjacent side
Height of the building + Height of antenna = [tex]1.53 + 22 \times tan \left(31^{\circ} \right)[/tex] ≈ 14.75
Which gives;
Height of the building = [tex]1.53 + 22 \times tan \left(26^{\circ} \right)[/tex] ≈ 12.26
Height of antenna = Height of the building + Height of antenna - Height of the buildingTherefore;
Height of the antenna ≈ 14.75 - 12.26 ≈ 2.49
Height of the antenna ≈ 2.49 mLearn more about trigonometric tangent ratio here:
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Under which transformation is size not preserved?
A. reflection
B. dilation
C. rotation
D. translation
The size is not preserved in B. dilation
What is transformation?Translation happens when we move the image without changing anything in it. Hence the shape, size, and orientation remain the same.
A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.
Rotation means the circular movement of an object around a centre. It is possible to rotate different shapes by an angle around the centre point.
Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system.
Hence,The size is not preserved in B. dilation
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2x+y=8
x+y=4
Where do they intersect at?
Answer:
[tex]{ \bf{2x + y = 8 - - - (a)}} \\ { \bf{x + y = 4 - - - (b)}} \\ a - b : \\ x = 4 \\ 4 + y = 4 \\ y = 0 \\ { \tt{they \: intersect \: at \: (4, \: 0)}}[/tex]
There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?
12th
$
12
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Mark this and return
Answer:
divide 3 by the amount of feet to get to the yards
Step-by-step explanation:
For every three feet, there's always one yard
so to do this only given feet, we'll need to divide the amount of feet by 3 to represent the amount of yards
product of (n+bv^2) (5n+3bv2)
Answer:
5n² + 8bnv² + 3b²v^4
Step-by-step explanation:
(n+bv²) (5n+3bv²)
5n² + 3bnv² + 5bnv² + 3b²v^4
5n² + 8bnv² + 3b²v^4
For every quarter in his pocket, John also has 5 pennies in his pocket. If the total of the coins in John’s pocket is $ 5.40, how many quarters does John have in his pocket.
If a student receives a score of 80, how many questions did this student answer ... (5). Let x = the first number, and y = the second number ... If John only has 25 coins in his pocket, how many of the coins are quarters?
Amy earned $25 after babysitting for 3 hours if amy always charges the same rate,how much will she make after babysitting for 7 hours
The pair of equations y = 0 and y = -7 has how many solutions?
Answer:
2 solutions so it can be inferred that it might be a quadratic
Step-by-step explanation:
Answer:
no solutions
Step-by-step explanation:
y = 0 and y = - 7 are horizontal parallel lines.
Since they are parallel, they never intersect and so have no solutions.
10 of 10
Work out the area of a rectangle with base, b = 38mm and perimeter, P =
100mm.
b
Let the height of the rectangle = h
2b + 2h = 100
2(38) + 2h = 100
2h = 100 - 76
h = 12mm
area of rectangle = base x height
= 38 x 12
= 456mm²
Answer:
456mm²
Step-by-step explanation:
using formula;
b/2( P - 2b) = A
substitute values
A square and an equilateral triangle have the same perimeter. The length of the side of the square os x+10. The length of the side of the triangle os 4x. What is the length of the triangle side
Answer:
20
Step-by-step explanation:
the perimeter of the square and the triangle are the same
4×(x + 10) = 3×4x
4x + 40 = 12x
40 = 8x
x = 5
=>
a triangle side is 4x = 4×5 = 20
Solve for h. Make sure to use scrap paper to show your work.
( 136 + 6 x 8 ) ÷ 2 = g
Answer:
92
Step-by-step explanation:
6 x 8 = 48
48 + 136 = 184
184 / 2 = 92
A particle is projected vertically upwards . It attains a height h after 2 seconds and again after 10 seconds . the height h is numerically equal to
Answer:
320m
Step-by-step explanation:
that is the procedure above
Find the area of the following
rhombus:
6 cm
10 cm
8 cm
A=121 cm2
Answer:
let
diagonal 1=6cm
diagonal 2=10cm
Area of rhombus=½*diagonal 1*diagonal 2=½*6*10
=30cm²
Answer:
Area of rhombus is 30cm².
Step-by-step explanation:
A rhombus having diagonals 6cm and 10cm . Find the area of rhombus.
Solution :-
Let us assume that
[tex]diagonal_1= 6cm[/tex][tex]diagonal_2 = 10cm[/tex]Finding the area of rhombus
Using Formula :-
Area of rhombus = ½ × [tex]diagonal_1[/tex]×[tex]diagonal_2[/tex]
Substitute the values of both diagonals.
Area of rhombus = ½ × 6cm × 10cm
Multiply the numbers
Area of rhombus = ½ × 60cm²
Divide we get ,
Area of rhombus = 30 cm
.. A machine in a candy company creates 9,328 pieces of candy each hour. If a box of candy has 98 pieces in it, how many boxes does the machine make in one hour? The machine makes boxes each hour.
Simplify. 6x-2
A.6/x^2
B.x²/6
C.1/6x^2
D.1/36x^2
Answer:
Step-by-step explanation:
[tex]a^{-m}=\frac{1}{a^{m}}\\\\6x^{-2}=6*\frac{1}{x^{2}}=\frac{6}{x^{2}}[/tex]
my friend took time to round once around a circular field is 30seconds. Calculate the area of field of the school of his speed is 90 meter/sec
Answer:
im bad at math but i think its 120
Solve for x: 5x - 3 = 10
Answer:
5x - 3 = 10
5x = 13
x = 13 / 5
x = 2.6
Step-by-step explanation:
<> 5x = 10 + 3
<> 5x = 13
<> 5x ÷ 5 = 13 ÷ 5
<> x = 2.6
Need help on this!!! 7 points!!!!
Answer:
your answer is (2,3) i think so .......am i right...or wrong..
If px-3+qx+1=2x+3,Find the value of p+q
A - H, please! thank you.
Answer:
First exercise
a) 1/8=0.125
b) 5$
c) y = 0.125 * x - 5
Second exercise
a) 0.11 $/KWh
b) no flat fee
c) y = 0.11 * x
Step-by-step explanation:
(See the pictures)
WRITE THE FUNCTION FOR THE GIVEN TABLE PLS
Answer:
y=X²-4x+5
Step-by-step explanation:
substitute all the left side values to get the outputs..
y=(5)²-4(5)+5 =10
Answer:
A
Step-by-step explanation:
In fact, if we try to substitute, we have:
10 = 5^2 -4(5) +5
10 = 25 - 20 + 5
10 = 10 (ok)
17 = -2^2 - 4(-2) + 5
17 = 4 + 8 + 5
17 = 17 (ok)
and so on
what is office personnel?
Answer:
Office personnel refers to the office chief, sectional chiefs and assistants that carry out all the administrative as well as clerical functions jointly to archive the objectives of an organization.
Which is the equation of a line parallel to the line with the equation: y = −14x + 7
y = -4x - 7
y = 4x + 2
y = 14x − 12
y = −14x + 3
Answer:
y = −14x + 3
Step-by-step explanation:
Parallel lines have the same slope
The equation y = −14x + 7 is put in slope intercept form ( y = mx + b )
Where m = slope
-14 takes "m's" place meaning that the slope = -14
If parallel lines have the same slope than the equation of a line parallel to y = −14x + 7 must have a slope of -14
The only equation that has a slope of -14 is D
CAN YALL HELP ME WITH THIS ONEEE!!!!! PLZ
Answer:
b
Step-by-step explanation:
12x12
11x11
10x10
9x9
8x8
7x7
6x6
5x5
4x4
3x3
2x2
1x1
add em together equal 650
Which answer represents the range of the logarithmic function given below?
F(x) = log0.6^x
Cláudio pode ir de sua casa a escola andando três km para o Norte, 2 para o oeste, um para o sul, quatro para o leste e, finalmente, 2 para o sul ponto para ir de sua casa a escola em linha reta, Cláudio deve andar: a) 1 km para o sul b) 2 Km para o leste c) 3 km para o oeste d) 4 km para o Norte e) 5 km para o leste
Answer:
b) 2 Km para o leste
Step-by-step explanation:
1. 2 km N
2. 2 km W
3. 1 km S
4. 4 km E
5. 2 km S
Sul e Norte:
(1.) 2 km N + (3.) 1 km S + (5.) 2 km S = 2 km - 1 km - 2 km = 0
Este e Oeste:
(2.) 2 km W + (4.) 4 km E = -2 km + 4 km = 2 km E
Veja imagem abaixo.
PLZ ANSWER ILL GIVE BRAINLIEST FIRST CORRECT ANSWER
Answer:
B) Y=-2x+1
Step-by-step explanation:
(-2,5)(2,-3)
M= -8/4 = -2
y = -2x + b
5 = -2(-2)+ b
B= 1
Y=-2x+1
which of the following is a geometric sequence
A. 6, 18, 54, 162
B. 1, 4, 5, 9, 14
C. 3, 6, 9, 12, 15
D. 3, 5, 8, 13, 21
In one week, Alex worked 35 hours at $ 12.50 per hour plus 5 hours overtime at 'time and half'. How much would Alex have earned for the week? *
An on-demand movie company charges 52.95 per movie plus a monthly fee of $39.95. Which expression represents
the yearly cost for x movie rentals?
295x+39.95
39.95x295
2958-39 95(12)
295x3995(12)
Hurry I'm being timed !
Answer:
52.95x + 39.95(12)
Step-by-step explanation:
Answer:
52.95 x + 39.95 (12)
Step-by-step explanation:
cost per movie = 52.95
a monthly subscription is 39.95 and there are 12 months in a year so it would be 39.95 x 12
the x would be dependent on the amount of movie rentals and therefore the cost of the rentals = 52.95 x
Solve the equation and enter the value of x below. 3(x+11) + 5= 68
[tex]\boxed{ \sf{Answer}} [/tex]
[tex]3(x + 11) + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 38 = 68 \\ 3x = 68 - 38 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]
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꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]3(x + 11) + 5 = 68 \\ 3 \times x + 3 \times 11 + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 33= 68 - 5 \\ 3x + 33= 63 \\ 3x = 63 - 33 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]