Answer: 63 ft
Step-by-step explanation:
We can think of the shadow and height of objects as the catheti of a triangle rectangle.
We also know the relationship:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
if we define:
Tan(θ) = k (a real number, such that will be the same number for every object, because it depends on the angle θ that will depend on the position of the sun)
opposite cathetis = heigt.
adjacent cathetus = length of the shadow.
Then we have:
k = height/length of the shadow.
For the mailbox, we know that the height is (4 + 1/2) ft and the shadow is 6ft long, then we have the equation:
k = (4 + 1/2)ft/6ft = 0.75
Then for the ferris wheel we know:
shadow length = 84ft
we can write the same equation as above:
k = 0.75 = height/84ft
0.75*84ft = height = 63ft
The ferris wheel is 63 ft high.
Answer:
63 feet
Step-by-step explanation:
Trust me got it right
Solve for x and find the measure of
Answer:
C
Step-by-step explanation:
180 - 42 - 38 = 100
△GFH is similar to △CDE. Identify the corresponding congruent angles.
Answer:
∠G ≅ ∠C
∠F ≅ ∠D
∠H ≅ ∠E
Step-by-step explanation:
I will give you the brainliest
Answer:
h= 6.8
Step-by-step explanation:
Ryan earns $5 for each small dog he walks and $8 for each large dog he walks. Today he walked 8 dogs and made a total of $49. How many small dogs did Ryan walk?
Ryan walked
small dogs.
Answer:
small dogs= 5
large dogs= 3
Step-by-step explanation:
Step one:
given data
let the number of small dogs be x
and the number of large dogs be y
Ryan earns $5 for each small dog he walks and $8 for each large dog he walks.
He walked 8 dogs and made a total of $49
so
5x+8y=49----------1
x+y=8---------------2
x=8-y
5(8-y)+8y=49
40-5y+8y=49
collect like terms
3y= 49-40
3y=9
divide both sides by 3
y=9/3
y=3
put y= 3 in eqn 2
x+3=8
x=8-3
x=5
pls help asap will give brainliest!!!
Answer:
step two added the 9 to each side :)
Find the value of x so that the function has the given value.
h(x)=−7x+10; h(x)=3
Answer:
h = 3 x = 1
Step-by-step explanation:
Find the measure of an angle such that the difference between the measures of its supplement and nine times its complement is 50°
Answer:
130°
Step-by-step explanation:
90° ± 90° = 180°
180° - 50° = 130°
130°
Simplify (2V5 - 4)(3 V5+2).
a.
4
c.
b.
8-4v5
d. 22-8v5
Answer:
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)= 22 - 8\sqrt{5}[/tex]
Step-by-step explanation:
Given
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)[/tex]
Required
Simplify
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2).[/tex]
Expand brackets
[tex]2\sqrt{5}(3\sqrt{5}+2). - 4(3\sqrt{5}+2).[/tex]
Open each bracket
[tex]2\sqrt{5}*3\sqrt{5}+2\sqrt{5}*2 - 4*3\sqrt{5}-4*2[/tex]
[tex]6 * 5 + 4\sqrt{5} - 12\sqrt{5} - 8[/tex]
[tex]30 + 4\sqrt{5} - 12\sqrt{5} - 8[/tex]
Collect Like Terms
[tex]- 8+30 + 4\sqrt{5} - 12\sqrt{5}[/tex]
[tex]22 - 8\sqrt{5}[/tex]
Hence:
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)= 22 - 8\sqrt{5}[/tex]
Do not round your answer. Type in just the number. 0.48 is what % of 1 .6
Answer:
0.00768
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
1.6÷100=0.016
1% - 0.016
0.48÷0.016=30
The volume of a cylinder is 5070 pi cm3. If the height is 30 cm, what is the radius?
Answer:
r =13
Step-by-step explanation:
on the picture
If it's helpful ❤❤
THANK YOU.
Find the value of -|-2 + 9|
A. 7
B. -11
C. -7
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-(-2 + 9) Equation/Question
Step 2
-(-2 + 9) Simplify
-(-2 + 9)
Step 3
-(-2 + 9) Solve by adding
-(7)
=-7
Answer
-7
Pls help urgently extra points and mark brainlist easy reading
Answer:
the act of pointing out faults
Step-by-step explanation:
Answer: The answer is A the act of pointing out faults because it talks about how Anna was Criticism of how the or the author on skate
Step-by-step explanation:
If f(x)= x/2-2 and g(x)= 2x^2+x-3, find (f+g)(x).
Answer:
2x^{2} + \frac{3}{2} x - 5
Step-by-step explanation:
(f+g)(x) = f(x)+g(x)
(f+g)(x)= [tex]\frac{x}{2} -2[/tex] + [tex]2x^{2} +x-3[/tex] = [tex]2x^{2} + \frac{3}{2} x - 5[/tex]
A photograph measures five inches wide and six inches long. The picture is enlarged to fit on a wall. If the new larger picture is 150 inches wide, how long is it?
Answer:
180 inches
Step-by-step explanation:
150/5 = 30
so 30 x 6 = 180
Answer:
180 inches
Step-by-step explanation:
I took the quiz
Freddie has a bag of jelly beans that has the following colours. 2 purple 1 red 4 yellow 3 orange. What is the probability that Freddie will select an orange jelly bean?\ 10% 20% 30% 40%
100 point
Answer:
30%
Step-by-step explanation:
3 out of the ten beans are orange
3/10=30%
Answer:
The answer is 30%.
Step-by-step explanation:
There are 2 purple, 1 red, 4 yellow, and 3 orange jelly beans. If you add all those together, you will get 10. So, 3 out of the 10 jelly beans are orange. That is 3/10 in fraction form. 3/10 equals to 30%, so that is your answer.
23) Find the area of the semi-circle. 18 in
Answer: 127.23 in. ^2
Step-by-step explanation: if the radious is 9 with is half of 18in that area of a whole cicle would be 254.47in. so just divide by 2
Solve x4 - 11x2 + 18 = 0.
Answer:
x=√2, x=-√2, x= 3 and x=-3
Step-by-step explanation:
We need to solve the equation x^4 - 11x^2+18=0
We can replace x^4 = u^2 and x^2 = u
So, the equation will become
u^2 -11u+18 = 0
Factorizing the above equation:
u^2 -9u-2u+18 =0
u(u-9)-2(u-9)=0
(u-2)(u-9)=0
u=2, u=9
As, u = x^2, Putting back the value:
x^2 =2 , x^2 =9
taking square roots:
√x^2 =√2 ,√x^2=√9
x=±√2 , x = ±3
so, x=√2, x=-√2, x= 3 and x=-3
Answer:
The second answer is correct.
Step-by-step explanation:
Mark brainliest if correct please
plz help me!?!?
and thank u
Answer:
-4.8+2.5-7.8
= -10.1
Step-by-step explanation:
Find the next three terms of the arithmetic sequence: 39,50,61,72
Answer:
83, 94, 105
Step-by-step explanation:
it's going up by 11
Answer:
83
Step-by-step explanation:
Its adding 11 each time
heyyyy someone help me with this
Answer:
1. 1 hour per day
2. sorry i don't know the answer
Step-by-step explanation:
7hours 30minutes - 1hour 30minutes = 6hours
6 divided by 6 = 1hour
is -√16 a rational number or irrational?
Answer:
irrational
Step-by-step explanation:
Find an equation of the line having the given slope and containing the given point.
m= -6, (5,9)
The equation of the line is y =
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.)
Answer:
[tex]y = -6x + 39[/tex]
Step-by-step explanation:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of x when y = 0).
We have that the slope is m = -6:
So [tex]y = -6x + b[/tex]
Contains point (5,9):
This means that when [tex]x = 5, y = 9[/tex]. We replace this into the equation to find b. So
[tex]y = -6x + b[/tex]
[tex]9 = -6(5) + b[/tex]
[tex]b = 39[/tex]
So
[tex]y = -6x + 39[/tex]
X^9/7 convert from exponent form to radical form
Answer:
[tex]x^{\frac{9}{7}} = \sqrt[7]{x^9}[/tex]
Step-by-step explanation:
You can solve this by realising that the denominator of a fractional exponent can be expressed as the base of a radical.
Note also that the order does not matter. You could also express it as
[tex]\sqrt[7]{x}^9[/tex]
The reason this works is that you're effectively breaking the exponent into fractions. The first answer is the equivalent of:
[tex](x^9)^{1/7}[/tex]
and the second would be:
[tex](x^{1/7})^9[/tex]
In both cases, the exponents would be multiplied, giving the same result.
— 3 + 5 + 6g = 11 – 3g
Given : −3 + 5 + 6g = 11 − 3g
To find : The variable g
Solution:
Isolate and solve for the variable g in the equation −3 + 5 + 6g = 11 − 3g
Steps:
−3 + 5 + 6g = 11 − 3g
2 + 6g = 11 − 3g
6g = −3g + 9
9g = 9
g = 1
Hence,
Answer: g = 1
Zach says 9.9797 is rounded to 9.980 but luv says it rounds to 10. Who’s correct?
Answer:
Both
Step-by-step explanation:
You can round to whatever digit place you want.
But normally a problem would say something like 'round to the nearest hundredth' or 'round to the nearest integer'
Answer:
both
Step-by-step explanation:
if rounded to nearest integer, it is 10. if to 3 decimal places or 4 significant figures, it is 9.980
Simplify the expression. 6(x+4)+I
Answer:
6x + 25
Step-by-step explanation
Distribute 6 through the parenthesis
Then add 24 and 1 to get 25
then you end up with 6x + 25
Answer:
6x+25
Step-by-step explanation:
6x+24+1 first distribute 6 into (x+4)
then add all your constants 24+1
then u get 6x+25,ur answer
julio says if you subtract 15 from my number and multiply the difference by -7, the result is -42 what is julio number
Answer:
-10
Step-by-step explanation:
Answer:
309
Step-by-step explanation:
-42 x -7 = 294 + 15 = 309
I'm not understanding which statement is correct, to me they all look wrong
Answer:
it is the third option because -3.2 is greater than -5.4
Step-by-step explanation:
Angles of evevation and depression
Find y.
Round to the nearest tenth:
w
28°
х
350 Ft
y
y = [? ]ft
please help me please please