Answer:
La altura del árbol es 8 metros.
Step-by-step explanation:
La sombra de un árbol, cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. Esto se puede observar en la imagen adjunta.
La trigonometría estudia la relación entre los lados y ángulos de los triángulos. Las razones trigonométricas de un ángulo α son las razones obtenidas entre los tres lados de un triángulo rectángulo (uno de sus ángulos es recto y mide 90°).
La tangente de un ángulo es la razón entre el cateto opuesto y el cateto contiguo o cateto adyacente. En este caso se debe aplicar dicha relación trigonométrica.
[tex]tan(\alpha )=\frac{cateto opuesto}{cateto adyacente}[/tex]
En este caso, se conoce el ángulo, cuyo valor es 36°, y el cateto adyacente, cuyo valor es 11. Reemplazando:
[tex]tan(36 )=\frac{cateto opuesto}{11}[/tex]
Resolviendo:
cateto adyacente= tan(36)*11
cateto adyacente= 7.99 metros ≅ 8 metros
La altura del árbol es 8 metros.
express . 05 as a proper fraction in its lowest terms
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
7x + 2y = –1
7x + 2y = 1
14x + 4y = –1
14x + 4y = 1
Answer:
7x + 2y = 1
Step-by-step explanation:
First we find the slope m of the line
The slope of a line that passes through 2 points x1, y1 and x2 , y2 is given as
m = (y2 - y1)/(x2 - x1)
Considering the points (–3, 11) and K(1, –3), the slope of the line m
= (-3-11)/(1 --3)
= -14/4
= 7/2
the line JK may be given as
y - 11 = -7/2(x - -3)
multiply through the equation by 2
2y - 22 = -7(x + 3)
2y - 22 = -7x - 21
7x + 2y = 22 - 21
7x + 2y = 1
Answer:
B
Step-by-step explanation:
7x + 2y = 1
If 5400=54(100x+54), then x=?
Answer:
x=23/50
Step-by-step explanation:
Answer:
0.46
Step-by-step explanation:
Divide 5400 by 54 to get rid of it from the right side.
You will get 100=100x+54
Then subtract 54 from 100.
46=100x
Lastly, divide your number by 100 to get x.
What is the equation of a circle with center (7, 2) and radius 2?
Answer:
(x - 7)² + (y - 2)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (7, 2 ) and r = 2 , then
(x - 7)² + (y - 2)² = 2² , that is
(x - 7)² + (y - 2)² = 4 ← equation of circle
(a) The diagram shows four angles around a point
1. Write down an equation in x and y
2. Simplify your equation
3.Find y when x=65°
Answer:
Step-by-step explanation:
The degrees around a point = 360, so
1. x + 95 + 3y + 80 = 360 so
2. x + 3y = 185
3. 65 + 3y = 185 and
3y = 120 so
y = 40
Answer:
y=40
Step-by-step explanation:
sum of all 3 angles : 240
3y+240=360
3y=360-240=120
y=3÷120
y=40
Solve the formula d = rt for r.
write short note on the rules on how to bisect a line
Answer:
here the answer is
If u want nore help please follow
Step-by-step explanation:
STEP 1: Draw a straight line with a ruler. STEP 2: Put the pin of a compass at the end of the line you want to bisect. Set the compass to more than half the length of the line, and draw an arc crossing the line. STEP 3: Keep the width of the compass the same, and from the opposite end of the line draw another arc.
Answer:
First, in your compass take more than half of the given line, i.e, if the line is 5 centimeters, then in the compass take a length more than five centimeters.
Second, Draw an arc, by keeping the compass needle on one end of the line, and do the same by keeping it on the other end.
Two of the arcs will intersect at a point.
Third, do the same, but in the back-ward direction, as in the below of the line. These two will also intersect.
Lastly, draw a line connecting the intersection of the top and below arcs.
I couldnt add the last pic because of the 5 attachments rule. Like I said in the last rule, just join the two arc intersections.
Thank You
Hope u understood
The area of a rectangle is 80 ft2. If the rectangle is 8 feet long, what is its width?
2.A ball is pulled out of a bag on the first pick. Then, it
is replaced in the bag and another ball is picked out . Independent or dependent ?
Answer:
Independent
Step-by-step explanation:
Since the ball is replaces, the same number of balls and type of balls are in the bag. The draw is identical to the first draw so the draws are independent.
help pls i beg youuu
Answer:
height = 10 m
Step-by-step explanation:
base area of rectangular pyramid =180 m^2
volume of rectangular pyramid = lwh/3
600 = 180*h/3
600*3 = 180*h
1800/180 =h
10 = h
Answer:
I think the answer to the question is 10
find the product (3n-4)(3n-4)
Answer:
9n-8 is the product
Answer:
Search Quickmath in Chrome and
all problem will solve... I hope it helps and trust me it works
i will give brainliest.
Answer:
speed
Step-by-step explanation:
- 4x < 68
A. Solve by adding 4 to each side.
B. The solution is x>-17.
a or b will mark as brainliest
(ignore the last thing)
Answer:
B.x>-17
Step-by-step explanation:
1. Divide both sides by -4:
-4x/-4<68/-4
2.< will change to > since you are dividing by negative
3.your final answer will be x>-17
(Trigonometry) The ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet from the building. How many feet long is the ladder? Round your answer to the nearest whole number. (Hint: DRAW A PICTURE)
How many real solutions does the quadratic equation
have?
10x^2– 5x – 7 = 0
1. 2
2. 0
3. 1
4. 3
Answer:
Option 1: 2
Step-by-step explanation:
see the plotting (made with desmos)
note that 3 is impossible, because a quadratic equation can't have 3 real zeros
Volume & surface! May I please have help
Answer:
D
Step-by-step explanation:
surface area of cylinder
=(area of base)×2 + (area of curved surface)
[tex]=(\frac{20}{2} )^{2} \pi[/tex]× 2 + [tex]20\pi[/tex] × 25
=2 × [tex]\pi[/tex] × [tex]10^{2}[/tex] + 2 × [tex]\pi[/tex] × 10 × 25
a right triangle has legs of lengths 6 and 3, what is the length of the hypotenuse to the nearest tenth
Answer:
x = 6.7
Step-by-step explanation:
legs of a right triangle are 6,3 and hypotenuse be x
using pythagors theorem to find hypotenuse
a^2 + b^2 = c^2
6^2 + 3^3 = x^2
36 + 9 = x^2
45 = x^2
[tex]\sqrt{45} = x[/tex]
[tex]\sqrt{3*3*5} = x[/tex]
[tex]3\sqrt{5} = x[/tex]
6.70 =x
6.7 =x
Which are correct representations of the inequality 6x2 3 + 4(2x – 1)? Select three options.
12 2x
6x > 3 + 8x - 4
O
-1.5
-1
-0.5
0
0.5
1
1.5
-1.5
-0.5
0
0.5
1.5
-1.5
-1
-0.5
0
0.5
1
1.5
The proper way to express the above inequality is 6x4(2x-1) is x2.
What is inequality?A mathematical statement that has two mathematical expressions on each side of the inequality sign is called an inequality. The indicators for inequality are,, >, or.
6x4(2x-1) is the given inequality.
So, 6x≥8x-4
6x off of both sides gives us
6x-6x≥8x-4-6x
0≥8x-6x-4
0≥2x-4
4 added on both sides give us
0+4≥2x-4+4
4≥2x
By dividing both sides by half, we obtain
(1/2)×4≥(1/2)×2x
2≥x
x≤2
Therefore, x≤2 is the correct representation.
Learn more about inequality here:
brainly.com/question/19498063
#SPJ7
Given that the area of the trapezoid is 55cm find x
Answer: The value of x is 13.
Step-by-step explanation:
Area of trapezoid = [tex]\dfrac{1}{2}\times\text{sum of parallel sides}\times\text{height}[/tex]
Here , Parallel sides = 9 cm , x cm
Height (Altitude ) = 5 cm
Area = 55 sq. cm
Substitute all values in the formula , we get
[tex]55=\dfrac12\times{(9+x)}\times5\\\\ \dfrac{2\times55}{5}=9+x\\\\ 22=9+x\\\\ x=22-9\\\\ x=13[/tex]
Hence, the value of x is 13.
315,728 rouned to the nearest ten thousand
Answer:
320,000 is the answer
Step-by-step explanation:
have a good day!!
Can some one help me out with this please?
Answer:
GOD BLESS YOU
Step-by-step explanation:
HELP HELP HELP HELP HELP
Answer:
C
Step-by-step explanation:
7x+ 11x=90
because the whole angle is
90 which makes it the answer Wich make the X a number we don't know what it is but know it helps make the exaction =90
Answer:
option c is correct
Step-by-step explanation:
7x + 11x =90 degree (being perpendicular)
18x=90
x=90/18
x=5
what is 3x+8 + 4x+10
7x+18-answer
Step-by-step explanation:
3
+
8
+
4
+
1
0
3x+8+4x+10
3x+8+4x+10
Simplify
1
Add the numbers
3
+
8
+
4
+
1
0
3x+{\color{#c92786}{8}}+4x+{\color{#c92786}{10}}
3x+8+4x+10
3
+
1
8
+
4
3x+{\color{#c92786}{18}}+4x
3x+18+4x
2
Combine like terms
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]3x + 8 + 4x + 10[/tex]
Bring the like terms together & add them.
[tex]3x + 8 + 4x + 10 \\ = 3x + 4x + 8 + 10 \\ = 7x + 18[/tex]
[tex]\underline{\textsf{\textbf{Answer = 7x + 18}}}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
╭═══════ღ❦ღ══╮
[tex]RainbowSalt2^{2}2^{2}[/tex]
╰══ღ❦ღ═══════╯
Awnser this for brainliest.
Answer:
1 is the number that goes in the blank
Step-by-step explanation:
3(2x+1)
Distribute
3*2x+3*1
6x+3
Answer:
3*2x+3*1
6x+3
hope it help
PLEASE HELP ME !! I BEG
Answer:
d yr welcome
Step-by-step explanation:
Option 'B' is the correct option:
[tex]\frac{3^{3} }{4^{2} }=\frac{3*3*3}{4*4} =\frac{27}{16}[/tex]
Please help!! I'm in summer school and I can't fail
Answer and Step-by-step explanation:
The slope would be positive 1. (Third answer choice).
This is because, using the Rise over Run method of finding slope, we go 1 unit up and 1 unit to the right, showing that it is going in the positive direction (up and right) and has a slope of 1.
#teamtrees #PAW (Plant And Water)
PLZ HELP DUE TODAY MARK BRAINLLEST AND GIVE 25 POINTS
Answer:
592 divided by 16=37
Answer:
592 divided by 16 is 37
3 boxes on top:
5 tens + 92 = 592
Step-by-step explanation:
:)
Each row of the table represents a cone with a height of
9 inches and a different radius.
Is there a linear relationship between the radius and the
volume of these cones?
Here are your answers from the previous screen.
Yes
No
Radius (in.)
Volume (cubic in.)
1
91
2
361
3
8171
a=8 and b=2.25 but what is k
Answer:
a = 8, b = 2.25, k = 27Step-by-step explanation:
y = abˣPoints on the graph:
(0, 8), (1, 18), (1.5, k)Substitute coordinates into equation and solve for and and b:
8 = ab⁰ ⇒ 8 = a*1 ⇒ a = 818 = 8b ⇒ b = 18/8 ⇒ b = 2.25Find k:
k = 8*[tex]2.25^{1.5}[/tex] = 27Answer:
a=8
b=9/4
k = 27
Step-by-step explanation:
y = ab^x
We know that a is the initial value or when x = 0
We know the point (0,8) so a = 8
y = 8 b^x
Using the point (1,18) for x and y we can find b
18 = 8 * b^1
18/8 = b
9/4 = b
Now
y = 8 * ( 9/4) ^ x
Letting x = 1.5
k = 8 *(9/4)^1.5
k = 27
Abby has $500 in her savings account. She earns simple interest at 5% per annum. Calculate the interest she earns after two years
Answer:
50$
Step-by-step explanation:
5% of 500=25
If you earn 25 per year then in two years you will earn
25+25=50$