the figure below shows a 60 foot pole held in place by wires anchored at point B, 40 feet from the base of the pole.
Answer: A: 21.4
Step-by-step explanation:
For the figure, on the pole where, tower is attached, the measure of side DC is 21.4 feet.
What is right angle triangle property?In a right angle triangle, the ratio of the opposite side to the adjacent side is equal to the tangent angle between them.
[tex]\thn \theta=\dfrac{b}{a}[/tex]
Here, (a) is the adjacent side, (b) is the opposite side and [tex]\theta[/tex] is the angle made between them.
The height of the pole is 60 foot. Therefore,
[tex]AC=60\rm ft[/tex]
The distance of the wire from the base of the pole is 40 feet. Therefore,
[tex]BC=40\rm ft[/tex]
Therefore, the tangent angle can be given as,
[tex]\tan\angle(ABC)=\dfrac{60}{40}\\\angle(ABC)=\tan^{-1}(1.5)\\\angle(ABC)=56.31^o[/tex]
The angle DBC is half of the angle ABC. Thus,
[tex]\angle(DBC)=\dfrac{56.31}{2}\\\angle(DBC)=28.15^o[/tex]
Now, again in the triangle DBC, the tangent angle can be given as,
[tex]\tan(28.15)=\dfrac{DC}{40}\\DC=21.407\rm ft[/tex]
Hence, on the pole where, tower is attached, the measure of side DC is 21.4 feet.
Learn more about the right angle triangle property here;
https://brainly.com/question/22790996
help please i got the last part but not the others
The cone and cylinder below have equal surface area
Answer:
Option B, False
Step-by-step explanation:
Step 1: Get the surface area formulas for both shapes
Surface Area Formula for Cone: [tex]A = \pi * r(r + \sqrt{h^{2} + r^{2}})[/tex]
Surface Area Formula for Cylinder: [tex]A = 2\pi rh+2\pi r^{2}[/tex]
Step 2: Plug in the values and solve
Cone: [tex]A = \pi * r(r + \sqrt{(3r)^{2} + r^{2}})[/tex]
Cone: [tex]A = \pi r^{2} + \pi \sqrt{10}r^{2}[/tex]
Cylinder: [tex]A = 2\pi r*r+2\pi r^{2}[/tex]
Cylinder: [tex]A=4 \pi r^{2}[/tex]
Step 3: Compare
[tex]\pi r^{2} + \pi \sqrt{10}r^{2}\neq 4 \pi r^{2}[/tex]
They are not equal, therefore the answer is False.
Answer: Option B, False
Answer:
ok so i just took this on a p 3 x and its true i have a screenshot . i got the question wrong it's definitely true .
Step-by-step explanation:
I need help with this question , 13 + 7x = 27
Answer:
x=2
Step-by-step explanation:
27-13=14
14÷7=2
therefore x is equal to 2
Can someone please help me with #2,3,5 ( for Brainliest)
Answer:
2) m∡1 = 100°
3) m∡2 = 40°
4) TD
5) m∡1 = 67°
Step-by-step explanation:
Please help I have 30 mins to slove
Answer:
82
Step-by-step explanation:
Since the sum of the two digits is 10, there are some pairs, such as 46, 64, 28, 82, 55,37, 73. And flip them around and see if the difference between the two numbers is 54. So one example is 82-28=54, so that is the answer. It can't be 28 or 46 because it said less than. I am not good at explaining, but I hope you guys understand. Thank you :D
Please answer this ASAP!!!
Answer:
a) (tri)ABC ~ (tri)CDE
b) AA
Step-by-step explanation:
a) Given in the question (the triangles are similar)
b) AA similarity is found by the vertical angle at <ACB and <DCE and the marked angles at <D and <A.
PLS HELP ME I NEED TO HAND IN ALL MY WORK BY TOMORROW:(
Can someone help me. Will Mark brainliest.
Answer:
The answer is 50.
Hope this helps. sry if it is wrong
A line has a slope of 3/5. It passes through the points (1, 2) and ( k, 8). What is the value of k?
A. 7
B. 11
C. 8
D. 15
Answer:
B. 11
Step-by-step explanation:
Delta y over delta x
(8-2)/(k-1) = 3/5
6/(k-1) =3/5
6 = 3/5k - 3/5
6 3/5 = 3/5k
K = 11
What is the length of the diagonal of the rectangle?
10.625
126.4375
29.75
21.25
Answer:
Step-by-step explanation:
Use Pythagorean theorem,
Hypotenuse² = base² +altitude²
Diagonal² = 17² + 12.75²
= 289 +162.5625
= 451.5625
Diagonal = √451.5625
= 21.25
Answer:
The answer is 21.25
Step-by-step explanation:
What is
3/4
÷
1/8
?
explain your reasoning
Answer:
6
Step-by-step explanation:
when you divide fractions you can "flip" the second fractions and multiply instead.
So you can do:
3/4 * 8/1 which equals 24/4 which simplifies to 6
Answer:
The answer is 6.
Step-by-step explanation:
If you have to do division with 2 different fractions you have to make them have equal denominators. The way you do this is that you multiply 4 x 2 in order to make the denominator of 3/4 turn into 8 and since the rule is whatever you do to the bottom you have to do to the top 3/4 turns into 6/8 because you multiply 3 x 2. Then you see how many times you can put 1/8 into 6/8. The answer for this is 6. Afterwards in order to make sure your answer is correct you do 1/8 x 6/1, (6). Since 1/8 x 6 is 6/8, your answer is correct.
What is the value of x in the figure shown below?
2.8
2.8
A
96°
53°
2.8
5.4
5.4
D
B
Answer:
Step-by-step explanation:
∠EAD = ∠CAB = 53°
By Side-angle-side, △EAD is congruent to △CAB
∠E = 96°
∠D = 180-96-53 = 31°
x = 31°
PLEASE HELP!!!
Find the areas of the trapezoids.
Answer:
1) A = 48 sq units 2) 42 sq units
Step-by-step explanation:
The formula to find the area of a trapezoid of a trapezoid is A = 1/2(b1+b2)h.
So for number 1, it is stated that the height of each unit is 2. Now let's substitute the variables in the formula with the actual bases and heights. I got A = 1/2(8+4)8, A=6*8, A=48 sq units.
For number 2, each unit also has a height of 2. Let's substitute the variables in the formula again. And we get A = 1/2(10+4)6, A = 7*6, A = 42 sq units.
This is how you find the areas of the trapezoids!
Pls can someone help me ? It’s urgent :((
Answer:
c.40
Step-by-step explanation:
........................
I have a trick for parallelograms and the formula is...[tex]\frac{b*h}{2}[/tex]
Yes the rectangle formula also wrks for parallelograms!!! You just gotta chop one end up and stick it on the other side!
So it is 5*8/2=20
Solve for all values of x by factoring. x2 – 11x + 5 = -6x + 5
Answer:
x = 0,5
Step-by-step explanation:
Factor and set each factor equal to 0.
what is the 10 time tables
Answer:
ugh wdym like 10 20 ,30 40 and so on ....
Answer10 20 30 40 50 60 70 80 90 100 110 120
Step-by-step explanation:
10x1=10
10x2=20
10x3=30
10x4=40
10x5=50
10x6=60
10x7=70
10x8=80
10x9=90
10x10=100
10x11=110
10x12=120
Graph the function f(x)=x^2+4x- 12 on the coordinate plane. (do a, b and c)(explain or show how you know the answer.) (graph down below.)
a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?
9514 1404 393
Answer:
a) {-6, 2}
b) -12
c) minimum: -16
Step-by-step explanation:
I find a graphing calculator to be a big help. Its graph is attached.
__
a) The function can be factored as ...
f(x) = (x -2)(x +6)
The factors are zero at the x-intercepts: x = 2, x = -6.
__
b) The y-intercept is the function value when x=0. That is the constant in the function. The y-intercept is -12.
__
c) The leading coefficient of the function is positive, so its graph opens upward. The extreme value is a minimum. It is found on the axis of symmetry, at the x-value that is halfway between the x-intercepts: x = (2-6)/2 = -2. The function value there is ...
f(-2) = (-2-2)(-2+6) = -4(4) = -16
The minimum is f(-2) = -16.
Answer:
I took the test.
A (6, -2)
b (-12)
c Minimum -16
Step-by-step explanation:
6)
Which is equivalent to 23-2-5?
A)
2-15
B)
C)
2-2
D
22
Answer:
Step-by-step explanation:
16 is equivalent to 23- 2- 5Pls help with my homework I need help
Answer:
tan G = 1.6071
Step-by-step explanation:
tan G = 45/28
tan G = 1.6071
find the value of x in each triangle. show your work on a separate piece of paper
Answer:
125
Step-by-step explanation:
all angles in a triangle add up to 180. you add 100+25=125 180-125=55 to check... 125+55=180 to angles next to each other on a straight line equals 180-55=125 angle x= 125
im pretty sure thats correct i hope this helps!
Use the iterative formula xn+1 = 4 - √x with x0 = 2 to find the solution to f(x) correct to 2 decimal places.
I need help with this question , 17 - q = 6
hello help please i’ll mark brainliest!!!
Answer:
Consisting of billions of galaxies
Step-by-step explanation:
if x,y are in inverse proportion then complete the following table x= 42 y=-15 , x=30 y=-----
Answer:
when x=30, y = -21
Step-by-step explanation:
x = k/y
x = 42 y = -15
x = k/y
42 = k/-15
Cross product
42 * -15 = k
-630 = k
k = - 630
Find y when x=30
x = k/y
30 = -630/y
Cross product
30 * y = - 630
30y = - 630
y = - 630/30
y = -21
when x=30, y = -21
PLEASE HELP ILL MARK U BRAINLIEST!!!!!!!
4 adults and 3 children cost $40 to go to a show. 2 adult and 6 children cost $38 to go to the same show. How much would it be for adults to go to this show. How much would it cost for 2 adults and children?
Answer:
$7 dollar per adult
$4 dollars per child
two adults and two children would cost $22
Step-by-step explanation:
If you are given x2 + 11x + 1, what does the expression equal if x=6
Answer:
79
Step-by-step explanation:
x2 + 11x + 1,
first step substituion
6(2) + 11(6)+ 1
multiply
12+66+1
add like terms
79
Answer:
103
Step-by-step explanation:
What is the product?
(3x-6) (2x^2-7x+1)
Answer: c
Step-by-step explanation:
Edge 2021
State if the two triangles are congruent. If they are, state how you know
(look at the picture)
Maria is saving for a scooter that costs $170. She has $54 already. She gets an allowance of $8 each week. How many weeks w will it take for Maria to save at least enough money to buy the scooter? Write an inequality to represent the situation.