C is the point on the ground where the person is standing and which is making the angle of elevation of 60° AB (Height) = ? Example 2 :Height of tree is 8.65m, the angle of elevation of the top of tree is 60° find the distance at which the person is standing away from tree ? Solution : Let AB is the tree. B is the foot and A is the top of tree.
2 ft above
AB=10ftBC=400ftNow
Angle be x
Apply Pythagorean theorem
[tex]\\ \rm\Rrightarrow tanx=\dfrac{10}{400}[/tex]
[tex]\\ \rm\Rrightarrow tanX=\dfrac{1}{40}[/tex]
[tex]\\ \rm\Rrightarrow tanX= 0.025[/tex]
[tex]\\ \rm\Rrightarrow X=tan^{-1}(0.025)[/tex]
[tex]\\ \rm\Rrightarrow X=1.432°[/tex]
Are 0.34 and 3/4 equivalent? Explain your answer in complete sentences.
Answer:
No because 3/4 is equal to 0.75 and 0.75 is not equal to 0.34
Step-by-step explanation:
Answer:
No. 3/4 is equavilent to 0.75 not 0.34.
PLEASE HELP!!!!!
What is the distance between the points X(-4,3) and Y(2, -7) rounded to the nearest tenth? show your work.
O 11.7 units
O 8.0 units
O 16.0 units
O 4.5 units
Answer:
11.7 units
Step-by-step explanation:
sq root(2--4)^2+(-7-3)^2
sq root(6)^2 + (-10)^2
sq root (36)+(100)
sq root 136
equals 11.66 which rounds up to 11.7
What value will make the equation true? Show your work or explain how you found your solution. - 2.1 - x = -1.5.
The answer of this problem is -0.6. I'm also gonna leave the solution to show you that it's correct.
please help im so confused!!
Answer:
I can't see the 5 the question properly but I'm sure 12) is 4 and 14) 70
Step-by-step explanation: 12) is( 4+4)÷2=4 and 14) 3+5+7=15 so, 5÷15=0.333333... then multiply it by210 you get 70
+ also on 15) just divide 5 by 2=2.5 and then divide 22 by 2.5 you get 8.8
The graph below is an example of which type of function? On a coordinate plane, a function decreases, has a point of inflection, and then continues to decrease. quadratic linear cubic square root
Answer:
Cubic
Step-by-step explanation:
Answer:
cube
Step-by-step explanation:
Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.
Answer:
vertex form: y = (x + 1)² - 3 the vertex is minimum coordinates of the vertex: (-1, -3)Step-by-step explanation:
[tex]y=x^2+2x-2\\\\y=x^2+2x+1-1-2\\\\\bold{y=(x+1)^2-3}[/tex]
a = 1 > 0 ← it means the parabla opens up, so, the vertex is minimum
The vertex form is y = a(x - h)² + k, where (h, k) is the vertex
So, from y = (x + 1)² - 3 the vertex is: (-1, -3)
* I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER*
A circle has a circumference of 10 millimeters. What is the circle's diameter? Use 3.14 for pi and round your answer to the nearest tenth.
Answer:
To find the diameter divide the circumference by pi
10÷3.14
=3.2 mm
Question 18 of 40
5
Simplify (4-2)5
Find the value of x...........
Answer:
x = 7°
Step-by-step explanation:
(8x + 6)° + 118° = 180°
8x = 56°
x = 7°
A magazine rack contains 5 sports magazines, 7 news magazines, and 10 fashion magazines. After a magazine is chosen, it is not replaced. Find the probability of randomly choosing two fashion magazines.
hi plz answer image below may god less you no bot answers plz
Answer:42.875 feet3
Step-by-step explanation:
Answer:
Step-by-step explanation:
V=a³
=[tex](3\frac{1}{2})^3=42\frac{7}{8}[/tex]in³
which two angles named below are supplementary in the figure? ill give brainliest
Answer:
D. Angles 4 and 7
Step-by-step explanation:
Answer 1 and 4 are supplementary angles.
Step-by-step explanation:
Supplementary angles are angles adding up to 180, the only angles listed that are supplementary angles is 1 and 4.
Have a good day!
Can anyone help find how to do this! Or explain how to please I’ll give brainleist.
A cook wants to make enough cookies for 150 students. The cookie recipe makes
1 1/4 dozen cookies. A dozen equals 12 cookies.
How many batches does the cook need to make if each student gets one cookie?
A.3
B. 7
C.10
D. 13
E. 15
Answer:
C 10
Step-by-step explanation:
1 1/14 of a dozen is 15
then 150 divided by 15 = 10
I hope this is the right answer
The perimeter of a rectangle is 54cm. If the length of rectangle is 18cm,find its area
Answer:
162cm squared
Step-by-step explanation:
The perimeter of a rectangle can be calculated by length+length+width+width.
We know the length is 18, so our equation of finding the width is:
54-(18*2) divided by 2.
54-36=18.
18/2=9.
The area of a rectangle can be calculated by length * width. We already have the length, and now we have the width.
18*9=162
Can someone please help my daughter. It's on a timer so she has 10 minutes left. No links people no links no links. The question is in the picture. It's the question Number 2.
Answer: 108° ; 165°
Step-by-step explanation:
180(n - 2) is the formula to figure out the total degrees in a polygon.
A pentagon has 5 sides, so:
180(5-2) = 180(3) = 540°
Divide the total degrees by the number of angles (a pentagon has 5 angles):
540° ÷ 5 = 108°
24-gon:
180(24 - 2) = 180(22) = 3960°
3960° ÷ 24 = 165°
Answer: 108° ; 165°
Step-by-step explanation:
180(n - 2) is the formula to figure out the total degrees in a polygon.
A pentagon has 5 sides, so:
180(5-2) = 180(3) = 540°
Divide the total degrees by the number of angles (a pentagon has 5 angles):
540° ÷ 5 = 108°
24-gon:
180(24 - 2) = 180(22) = 3960°
3960° ÷ 24 = 165°
Find the volume of the prism.
1.2 cm
1.8 cm
2 cm
2.3 cm
The volume is
cubic centimeters.
Answer:
Volume of prism = 6.3 cm³
Step-by-step explanation:
Given:
Dimensions of parallels line = 2.3 and 1.2 cm
Height of prism = 1.8 cm
Width of prism = 2 cm
Find:
Volume of prism
Computation:
Volume of prism = Area of base x Width
Volume of prism = [(1/2)(sum of parallels line)(Height)]Width
Volume of prism = [(1/2)(2.3 + 1.2)(1.8)]2
Volume of prism = [(1/2)(3.5)(1.8)]2
Volume of prism = [(3.5)(1.8)]
Volume of prism = 6.3 cm³
Amy Beth found a new pair of shoes that were 30% off the original price. The original price was $60. How much did she save?
Pls help me anyone
I don’t get this pls
Answer:
1. Y=-2x+3
2. Y=3x+2/3
I'm sorry I can't get them all but I know these are right
Rewrite into standard form A. 4.23 x 10^-8
B. 1.89 x 10^12
C. 6.2 x 10^-1
Pls help
fred spent a total of $170 for a tent and 2 sleeping bags each sleeping bag cost $35 which equation can be used to find T the cost of the tent NO SCAM LINKS
A. T=170-( 2x35 )
B. T= (170 divided by 2) +35
Rose is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 8 meters away from the hook.
The question is incomplete, as the depth of the hook isn't given in the question. However, using a proposed depth for the hook, we could give a stepwise solution to the exercise.
Answer:
Kindly check explanation
Step-by-step explanation:
If given a hook depth of 6 meters, and a distance of 8 m(fishing line from hook) at the the Same depth, then the distance between rose and the fish, x can be calculated, using the relation.
Hypotenus² = opposite² + adjacent²
(refer to attached picture)
x² = 6² + 8²
x² = 36 +. 64
x² = 100
x = sqrt(100)
x = 10 meters
You can use the actual depth value to obtain the actual solution to your question.
The distance between two points A and B on latitude 60°S along their parallel of latitude is 2816km. (I) calculate the angular difference in their longitudes (ii) if A is due west of B and on longitude 20°W, find the longitude of B
Answer:
i) The angular difference in their longitude is approximately 50.65°
ii) The line of longitude where B is located is approximately 30.65°E
Step-by-step explanation:
The given parameters are;
The angle of latitude where the points A and B are located = 60°S
The distance between points A and B = 2,816 km
(i) The angular difference in their longitude, θ, is given as follows;
θ = 2,816/(2 × π × 6,371 × cos(60°)) × 360 ≈ 50.65°
The angular difference in their longitude, θ ≈ 50.65°
(ii) The location of the point A relative to B = Due west
The line of longitude on which A is located = 20°W
∴ The line of longitude where B is located, P = θ - 20°
∴ P = 50.65° - 20°W = 30.65°E
The line of longitude where B is located ≈ 30.65°E.
Each boy in a class has 11 pockets and each girl in the class has 13 pockets. How many boys and how many girls are in this class if all 21 students have a total of 251 pockets? Please answer ASAP and please no links.
Answer:
10 girls
11 boys
Step-by-step explanation:
set up a system of equations:
b represents boys, g represents girls
b+g=21 (since there is a total of 21 students)
11b+13g=251 (since each boy has 11 pockets, each girl has 13, total of 251)
i chose the method of substitution, so i solved the first equation to get
b=21-g
then i substitute 21-g for b in the second equation, and solve:
11(21-g)+13g=251
231-11g+13g=251
2g+231=251
2g=20
g=10
then, i solved for boys (by choosing the top equation and substituting 10 for g, since we now know that g=10)
b+g=21
b+10=21
b=11
so there are 10 girls and 11 boys in this class
There are 10 girls and 11 boys in the class.
What is an equation?"It is a statement which consists of equal symbol between two mathematical expressions."
What is system of equations?"It is a finite set of equations for which we find a common solution."
For given example,
Let 'x' be the number of girls and 'y' be the number of boys.
Each boy in a class has 11 pockets and each girl in the class has 13 pockets.
And in this class if all 21 students have a total of 251 pockets.
So, we have system of equations,
⇒ x + y =21 .......................(1)
⇒ 13x + 11y = 251 .......................(2)
From equation (1),
x = 21 - y ......................(3)
Substitute this value of 'x' in the equation (2),
⇒ 13(21 - y) + 11y = 251
⇒ 273 - 13y + 11y = 251
⇒ 273 -2y - 273 = 251 - 273
⇒ -2y = -22
⇒ y = -22 / -2
⇒ y = 11
This means, there are 11 boys in the class.
Substitute the value of 'y' in equation (3),
⇒ x = 21 - 11
⇒ x = 10
This means there are 10 girls in the class.
Therefore, there are 10 girls and 11 boys in the class.
Learn more about system of equation here:
https://brainly.com/question/12895249
#SPJ2
A line on a coordinate plane has a y-intercept of 5 and a slope of 3.what is the slope intercept form of the line?
Answer:
y = 3x + 5
Step-by-step explanation:
Slope intercept form is
y = mx + b
where m is the slope and b is the y-intercept
Given m = 3 and b = 5
y = 3x + 5
Pleaseeeee answer ASAP ✌
Answer:
h=10
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
3/7 = h/14- 2/7
3/7=h/14 - 4/14
7/14 - 4/14 = 3/7
(4/14 is the same as 2/7)
A sequence of 3 transformations is applied to the L-shaped
figure to produce the image shown on the coordinate plane.
The 3 transformations, in no particular order, are:
A) translation 9 units to the left and 4 units down
B) reflection in the x-axis
C) rotation of 90 degrees counter-clockwise rotation about
the origin
What is the correct order in which to apply these
transformations in order to produce the given image?
Answer:
BCA
Step-by-step explanation:
A scatter plot was made to show the value of various vehicles based on the age of the vehide (in years). The equation for the line of best fit is y= 34,000 - 1,600x wherey is the value of the vehicle in dollars and x is the age of the vehicle in years. Use the line of best fit to predict the value of the vehide after 8 years
Answer:
$21,200
Step-by-step explanation:
Given the best fit equation:
y= 34,000 - 1,600x
Where ;
y = value of vehicle in $
x = Age of vehicle in years
The predicted value of vehicle aged 8 years ;x = 8
y = 34000 - 1600(8)
y = 34000 - 12800
y = 21,200
Hence, the predicted value of car aged 8 years is $21,200
Determine whether each system of equations has no solution, one solution, or infinitely many solutions
Show work please:)
Answer:
One solutionStep-by-step explanation:
Given system:
y = -3-3(x + 9) = yThe first equation is a horizontal line, the second equation is a line with a slope of -3.
Since the lines have different slopes, they intersect at one point.
As there is one intersection, the system has one solution.
Y'all actually expect people to conduct experiments or to write whole essays for you?