Answer:
1.35m
Step-by-step explanation:
A 2.7 meter ladder leans against a house forming a 30° angle with the house. Exactly how far is the base of the ladder from the house?
We solve the above question using the Trigonometric function of Sine
cos theta = Opposite/Hypotenuse
From the question
Opposite = Distance of base of the ladder from the house = x
Hypotenuse = Length of the ladder = 2.7m
Theta = 30°
Hence,
sin 30 = x/2.7 m
Cross Multiply
x = sin 30 × 2.7m
x = 1.35m
Option b is correct.
The base of the ladder from the house is 1,35 meters, the correct option is B.
Given
A 2.7-meter ladder leans against a house forming a 30° angle with the house.
Sin angleThe sine of an angle is a function that relates to the sides of a right triangle.
Let the base of the ladder from the house be x.
The height of the base of the ladder from the house is given by;
[tex]\rm Sin\theta =\dfrac{Opposite \ side}{Hypotenuse}[/tex]
Substitute all the values in the formula
[tex]\rm Sin\theta =\dfrac{Opposite \ side}{Hypotenuse}\\\\\rm Sin30=\dfrac{h}{2.7}\\\\h = 2.7 \times sin30\\\\h=2.7 \times 0.5\\\\h=1.35 \ meter[/tex]
Hence, the base of the ladder from the house is 1,35 meters.
To know about trigonometric identities click the link is given below.
https://brainly.com/question/583439
2x + 7 > 20
x is an integer.
Find the smallest value of x.
Answer:
Step-by-step explanation:
2x + 7 > 20
2x > 13
x > 6.5
X=6.5
Answer:
2X+7>20
2X>13
X=13÷2
I need the measure of A to the nearest degree. Please if you can, help and explain
Answer:
53°
Step-by-step explanation:
ΔABC is a right triangle (one of the angles is 90°).
You can use SOH-CAH-TOA to find an angle:
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
In this case, we want to find ∠A. We know the lengths of the opposite side and the hypotenuse. Therefore, we should use sine.
sin A = 12 / 15
m∠A = sin⁻¹(12/15)
m∠A ≈ 53°
Alternatively, you could use Pythagorean theorem to find the third side, then use either cosine or tangent to find m∠A.
Answer:
53
Step-by-step explanation:
Hope this helps
What is BD? Plzzzsss Helppp
Answer:
Step-by-step explanation:
since the two angles are the same we can set up a relationship between the two triangles and set them equal to each other and solve for X :) , as follows
SOH sin = Opp / Hyp
triangle 1 ) sin(Ф) = x / 12
triangle 2 ) sin(Ф) = x + 5 / 27
since sin(Ф) is the same for each triangle.. set those other sides equal to each other
x/12 = x+5 /27
now solve for x using your mad algebra skilz :P
27 / 12 = x + 5 / x
2 3/12 = x/x + 5/x
2 1/4 = 1 + 5/x
1 1/4 = 5/x
x = 5 / 1 1/4
x = 4 nice :)
So BD is then
4 + 4+5
so BD = 13
tell your professor / teacher that you figured it out all on your own :D
( yes.. that was tricky to figure out )
In an origami class, the instructor tells the students to cut a square that has an area of 24 square inches. Kevin cuts a square with a side length of 4.80 inches. Which statement is true?
A.
The side length of the square Kevin cuts is exactly the same as the length the instructor required.
B.
The side length of the square Kevin cuts is slightly less than the length the instructor required.
C.
The side length of the square Kevin cuts is slightly more than the length the instructor required.
D.
The side length of the square Kevin cuts is far more than the length the instructor required.
Answer: B
Step-by-step explanation:
The dimensions of an ancient Egyptian rug are 6 feet by 8 feet. Priscilla is creating a drawing of the rug with the scale 4 cm = 1 ft. What are the dimensions of Priscila's drawing in cm?
Answer:
12 x 18 CM.
Step-by-step explanation:
Because 3 cm is 1 ft so if it is 4 you multiply that by 3 which equals 12 , and for 6 feet you multiply that by 3 cm and get 18. SO it is 12 x 18 cm.
Does the table below represents a linear function why or why not
Answer:
No, it's not linear function.
Step-by-step explanation:
The x value repeatedly adds 3.
So far its a linear function.
If you look at the y value, it does NOT have a pattern, therefore that means it is NOT a linear function.
Drag each label to the correct location on the figure. Not all labels will be used. Find the missing angle measurement
Next to 71 degrees angle is 45 degrees
The one close to 64 degrees is 64 too ( vertical angles)
And the last one next to 56 degrees is 60
The vertical angles are 56° aech.
Angle next to 56° is: 60° (sum of triangle)
Angle next to 71° is: 45° (sum of triangle)
What are Vertical Angles?Vertical angles have equal measure.
In the diagram given, 64 and the opposite angle are congruent because they are vertical angles.
The angle next to 56° is: 180 - 64 - 56 = 60° (sum of triangle)
The angle next to 71° is: 180 - 64 - 71 = 45°.
Learn more about vertical angles on:
https://brainly.com/question/14362353
#SPJ2
Factor the polynomial: x^2 - 16x + 64
Answer:
2
=(x-8)
Step-by-step explanation:
please help lolllllllllllll
4.89; 4.089; 4.870; 4.881 - Put these in order from least to greatest. Your answer
Answer:
4.089, 4.87 4.881 , 4.89
Step-by-step explanation: this is true because for 4.89 you would just add a 0 to make it 4.890
which letter would be the most meaningful variable for the problem situation the weight of a box increase by 5
Answer:i
Step-by-step explanation:
expand 2x(5x+4) please
Answer:
10x²+8x
Step-by-step explanation:
times everything in the bracket by 2x
Help please I really need help, thank you
Answer:
What do you need help with? Answer and I will tell you anything you need.
Step-by-step explanation:
Given f(x) = x3 - x2 + 4x - 1 and
g(x) = -2x, find lim g(f(x))
X-2
Answer:
I hope this helps!Let me know if it helps
One angle of a right triangle measures 60°. The side opposite this angle measures 21 inches.
What is the length of the hypotenuse of the triangle?
Enter your answer, in simplest radical form, in the box.
Answer:
x = 24.25 inches
Step-by-step explanation:
sin 60 = 21/x
0.866 = 21/x
x = 24.25
Answer:
24 (if its supposed to be rounded to whole)
24.2 (if rounded to tenth)
Step-by-step explanation:
Sin a= opp/hyp
opp=21
hyp=x
a=60
Sin60=21/x
Get x to the other side by multiplying on both sides
x*sin60=21
Now divide by sin60 on both sides
x=21/sin60
Find sin60
sin60=0.866025...
divide 21 by 0.866025
21/0.866025=24.248722....
So rounded to the nearest 10th is 24.2
Rounded to nearest whole is 24
4a (8a- 4a + 1)
Helpehelpeekendnhdhdjdjdjjdfjjfjfjf
HELPPPP MEE PLEASEEE!!!
Answer:
She made 80 total cookies because 25% of 64 is 16. 64 plus 16 is 80. You are adding the original amount(60) to 25%(16).
You will not be given credit for your answer if you do not include your equation! Your family took a trip to Florida. After the first day, your father said you had driven 720 miles. You knew you had traveled for 9 hours. How fast were you traveling per hour?
Answer:
80 mph
Step-by-step explanation:
720÷9=80
hope this helps!!!
8 - 4+ (3 · 6)2 =
E. 22
F. 112
G. 328
Answer:
Step-by-step explanation:
8 - 4+ (3.6)2
= 8 - 4 + 7.2
= 11.2
hope it helps :)
PLEASE HELP I WILL MARK BRAINLIEST !!!! William looks from a height of 30 yards at the top of their apartment building. They line up the top of a flagpole with the curb of a street 40 yards away. If the
flagpole is 24 yards from the apartment building, how tall is tthe flagpole
Answer:
12 yards
Step-by-step explanation:
From. The picture attached, we could obtain the angle of elevation, θ from the curb of the street to the top of the building.
Using trigonometric relation :
Tanθ = opposite / Adjacent
Opposite = 30 yards
Adjacent = 40 yards
Tanθ = 30/40
θ = tan^-1(0.75)
θ = 36.869897°
Distance between curb of street and flagpole :
(40 - 24) yards = 16 yards
Let height of flagpole = h
Tanθ = opposite / Adjacent
Opposite = h yards
Adjacent = 16 yards
Tan36.869897 = h/16
0.75 = h / 16
h = 0.75 * 16
h = 12 yards
What is the area of this
i need help this is dude tomorrow
Answer:
c. is the correct answer
Solve using Square Roots.
16x² - 34=15
Answer:
[tex]\sqrt{\frac{49}{16}[/tex]
Step-by-step explanation:
Find the area of the shaded portion below.
Round your answer to the nearest one (i.e. 0 decimal places).
Answer:
1,972
Step-by-step explanation:
Don't know but I had this same image on my test and I got it right.
It will probably only work if its multiple choice cause you said shaded area and mine just says the area so.
What is the volume???
Answer:
First find out the other side measurements. Then split the shape into seperate squares and find the area then add them all up.
Step-by-step explanation:
volume is length × width × height.
Answer:
240 cm cubed
Step-by-step explanation:
If you separate the shape into 2 figures, the first figures area is 180
and the second is 60.
180 + 60 = 240
Hope this helps!
Please help, I am so confused. Find the missing length indicated.
Answer:
its D
Step-by-step explanation:
In a right triangle the hypotenuse which is 16+9 =25 has to be the largest side. Since x is not the hyportenuse it has to be lower which only leaves one answer : 15
Answer:
Step-by-step explanation:
these are tough to solve , don't feel bad. soo part of the trick is that the two side set up similar triangles, then
16 / y = y /9 ( the two triangles
16* 9 = [tex]y^{2}[/tex]
144 = [tex]y^{2}[/tex]
12 = y
y is the length between the two triangles , so since we now know that part, we can solve the triangles.
lets use tan to solve one of the angles of the smaller triangle
TOA to remember how tan fits on a triangle
Tan = Opp / Adj
Tan(Ф) = 9/12
Ф = arcTan(9/12)
Ф = 36.869897
knowing that we can solve for x
use CAH cos = Adj / Hyp
Cos(36.869897) = 12 / Hyp
Hyp = 12/ Cos(36.869897)
Hyp = 15 :) that seems reallly good .. :P
x = 15 there you go
Rewrite the slope in intercept form.
x-3y=15
Answer:
x=3y+15
Step-by-step explanation:
What is the size of angle p ?
Answer:
55˚
Step-by-step explanation:
1. ∡135˚ = 180-135=45˚
2. p=180-80-45
3. p=55˚
A basketball shaped like a sphere has a diameter of 8 inches. Which measurement is
to the volume of the basketball in cubic inches?
Answer:
268
Step-by-step explanation:
The volume formula for a sphere is: V= [tex]\frac{4}{3}\pi r^{3}[/tex]
We also know that [tex]\pi[/tex] is approximately 3.14.
You have to know these in order to solve the question..
Since we also know the diameter is 8 we can also find the radius (r) ,which is half of the diamater so 4.
Now all we need to do it plug in the numbers.
V= [tex]\frac{4}{3}[/tex](3.14)[tex]4^{3}[/tex]
Now solve for the equation.
V=267.94...
So rounded that is 268.
Encontrar las coordenadas del centro y la longitud del radio de la circunferencia 9x²+9y²+18x-12+10=0
Answer:
Step-by-step explanation:
The standard form of equation of a circle is expressed as;
x^2+y^2+2gx+2fy+c = 0
The centre is at (-g, -f)
Given the equation'
9x²+9y²+18x-12+10=0
Divide through by 9
9x²/9+9y²/9+18x/9-12y/9+10/9=0
x^2+y^2+2x-4/3 y + 10/9 = 0
Compare
2gx = 2x
g = 1
2fy = -4/3 y
2f = -4/3
f = -4/6
f = -2/3
The centre is (-(-2/3), -1) = (2/3, -1)
for the radius
r = √f²+g²-c
r =√(-2/3)²+1²-10
r =√4/9 - 9
r = √(4-81)/9
r = √-77/9