A 30 feet wire stretches from the top of a light pole diagonally to the ground the light pole is 10 feet high what is the angle the wire makes with the ground
Answer:
The wire makes an angle of 19.47 degrees with the ground
Step-by-step explanation:
Here, we want to calculate the value of the angle that the wire makes with the ground
Mathematically, we need an image
From the image, we have a right-angled triangle with the length of the wire as hypotenuse, the height of the pole as opposite
So; we proceed to use a trigonometric identity to get the angle
Mathematically; the trigonometric identity that relates the hypotenuse with the opposite is the sine
So;
sine theta = 10/30
theta = sin^-1 (1/3)
theta = 19.47 degrees
Point A is the incenter of triangle DEF. Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. Which must be true? Select three options
The points must be true for Point A which is the incenter of triangle DEF are 1> Point A is the center of the circle that passes through points X, Y, and Z. 2>Line segment A X is-congruent-to line segment A Y . 3> Point A is always inside triangle DEF .
What is incenter of triangle?
The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle, as the central axis's junction point is the center point of the triangle's inscribed circle. The incenter of a triangle is also known as the center of a triangle's circle since the largest circle could fit inside a triangle. The circle that is inscribed in a triangle is called an incircle of a triangle.
According to the question
Point A is the incenter of triangle DEF .
Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. (X,Y,Z are points on middle of sides )
Now,
According to the properties of incenter of the triangle
1.> The circle that is inscribed in a triangle is called an incircle of a triangle.
i.e
Point A is the center of the circle that passes through points X, Y, and Z.
2> The incenter of a triangle is equidistant from the sides of a triangle, as the central axis's junction point is the center point of the triangle's inscribed circle.
i.e
Line segment A X is-congruent-to line segment A Y .
3> A triangle's incenter always lies inside the triangle.
i.e
Point A is always inside triangle DEF .
Hence, The points must be true for Point A which is the incenter of triangle DEF are 1> Point A is the center of the circle that passes through points X, Y, and Z. 2>Line segment A X is-congruent-to line segment A Y . 3> Point A is always inside triangle DEF .
To know more about incenter of triangle here:
https://brainly.com/question/27868922
#SPJ2
At a charity fund-raiser, adult tickets were sold for $11 each, and children's tickets were sold for $4 each. Write an algebraic expression for the total amount of money raised from the sale of tickets. How much money was raised if the fundraiser sold 234 adult tickets and 386 children's tickets?
Answer:
Total= 11a + 4c
4118 Dollars
Lorenzo sells adult and student tickets to an upcoming basketball game. He sells more student tickets than adult tickets. The adult tickets are $5 each and the student tickets are $3 each. He sells more than $900 worth of tickets in total. The system of linear inequalities that describes this situation, where x is the number of adult tickets and y is the number of student tickets, is shown below.
Answer:
C
Step-by-step explanation:
Yes, it does have to be a whole number
1 point
Question: A school purchased a total of 112 student tickets and adult
tickets for a field trip to a play. The price of each student ticket was $3.50,
and the price for each adult ticket was $6.50. If the school spent a total of
$437, how many student tickets and adult tickets did the school purchase?
92 student tickets; 20 adult tickets
97 student tickets; 15 adult tickets
O
102 student tickets; 10 adult tickets
88 student tickets; 23 adult tickets
Answer:
the answer is 97 student tickets and 15 adult tickets
Step-by-step explanation:
Plz Help! Giving out brainiest!
1/4:10 = x:4
what is the area of this composite figure
0.8 x 5.9 if you help me I mark you as brainlest or whatever it is called help asap
Answer:
4.72
Step-by-step explanation:
Put 0.8 over 5.9, keep the decimal in the same place, then multiply the two numbers. Easy.
If triangle A(0,-1), B(0,3), C(3,-2) is rotated at 90 degrees CCW about the origin, what are the new coordinates
Pls answer I’ll give you brainly
Answer:
D
Step-by-step explanation:
(3x3 + 4r) + (3.23 – 42° – 9x) =
Answer :
12.23+4r-42°-9x
If 15 pies will serve 20 people, how many pies are needed for 152 people?
Answer:
114 pies
Step-by-step explanation:
If the pie get together only had 20 people with 15 pies, then each person had a portion of 3/4 (divide them). The pie party has 152 people with 3/4 portions each, which means there has to be 114 pies at the party (multiply them).
:)
Answer:
152÷20=7.6
7.6×15=114
114 pies
Which fractions have the same value as −1/4 ?
Answer:
Some examples are -2/8, -3/12, -4/16.
Step-by-step explanation:
Which of the following are accurate description of the distribution below?
Answer:
b option
Step-by-step explanation:
Is this correct? If not, please tell me why!!
Answer:
your correct good job
What is 2/3 + 2 1/6 And please explain how you got it
Last year during November there was a heatwave. The average daily temperature went from 57°F to 76°F. What was the percent increase in the average daily temperature during the heatwave?
Answer:
hhhh
Step-by-step explanation:
hhhhhh
Need a brainliest? Answer this !!! Correct and fast answers only!!
Answer:
B
Step-by-step explanation:
Any number times 1 is itself, thus the multiplicative identity property
What is the image point of (2,4)(2,4) after a translation left 4 units and down 1 unit?
Answer:
(-2; 3)
.............
John has a part-time job. He is payed £6.80 per hour. This week he worked for 9 and a half hours. Work out John's total pay for this week.
Answer:
£64.6
Step-by-step explanation:
Multiply £6.80 by 9
£61.2
Now divide £6.80 by 2
£3.4
Add £3.4 to £61.2
The answer is £64.6
(I think)
Hope this helps :)
Which comparison is true?
6 stars and 7 hearts.
There are 6 stars for every 7 hearts.
There are 7 stars for every 6 hearts.
For every 7 stars there are 13 hearts.
For every 6 stars there are 13 hearts.
Answer:
Yup it’s A. There are 6 stars for every 7 hearts.
Step-by-step explanation:
A deep freezer is accidentally unplugged, and the temperature increases to 10ºF before an employee notices and plugs the machine back in. The initial temperature of the freezer was –5ºF. The freezer remained unplugged for an estimated 3 hours. Assuming the temperature changed at a steady rate, how much did the temperature change per hour?
Answer:
5 degrees per hour
Step-by-step explanation:
-5+n=10
+5. +5
n=15
15/3=5
Which is an equivalent equation.
27=9-4n+10n-18
A. 27=5n-8
B. 27=6n-9
C.27=-14n-27
D.27=-6n-2
k(x)=6x-12; k(x)=18
please help idk what the answer is
Answer:
96 IS THE AOUNSER
Step-by-step explanation:
[tex]( {x}^{2} - 8x + 6) \div (x + 2)[/tex]
how do you solve this using synthetic division?
I need some help with this math problem
Answer: it’s C
Step-by-step explanation:
pls help :(
read and answer the question
Answer: Your answer should be C) 171! Hope this helps you!
Step-by-step explanation:
science pls help this is due today
Answer:
last one
Step-by-step explanation:
Brainliest please
Answer:
C) cold and snowy
Step-by-step explanation:
The temperature is 48C to 82F which is on the hot side
but the low temperature is 9 degrees so that explains there will be snow anything below 19 degrees is snow and cold windy air
Sorry if I am wrong! :(
Find the ordered pairs for the x- and y-intercepts of the equation 5x − 6y = 30 and select the appropriate option below. (5 points)
PLEASE HELP MEE!!!!!!-
Answer:
26 2/3
Step-by-step explanation: