Answer:
18.25
Step-by-step explanation:
......ur welcome.............
Spider Rock is located in Canyon de Chelly National Park in Arizona. A surveyor stands 370 feet from the base of Spider Rock. From a point 5.5 feet above the ground, he measures the angle of elevation to the top of Spider Rock to be 65°. According to the surveyor's measurements, what is the height of Spider Rock? Round your answer to the nearest tenth. A. 178.0 ft. B. 340.8 ft. C. 413.7 ft. D. 799.0 ft.
Answer:
799 feet
Step-by-step explanation:
We solve using the Trigonometric function of Tangent.
tan theta = Opposite /Adjacent
From the above question, we have the height of the surveyor = 5.5 feet
theta = Angle of elevation = 65°
Adjacent = 370 feet
Let Opposite = height + height of spider rock
tan 65° = h - 5.5 /370 feet
Cross Multiply
tan 65° × 370 feet = h - 5.5
793.46756059 feet = h - 5.5
h = 793.46756059 feet + 5.5
h = 798.96756059 feet
Approximately = 799 feet
The height of the Spider rock = 799 feet
Rewrite the expression in the form k*x^n
(16/x^3)^1/4
Answer:
2*x^(3/8)
Step-by-step explanation:
Answer:
2*x^(3/8)
Step-by-step explanation:
khan
A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume, in cubic inches?
Answer:
380 cubic inches
Step-by-step explanation:
The basic formula is length x width x height, so it's pretty simple, you just do 4 x 19 x 5! The order doesn't matter as long as it's just the length worth and height
I, sometimes do length x width, then use the answer for that and multiply it by the height (So that I can break it down)
What is the area of the trapezoid below?
Answer:
A = 180 units²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
The triangle on the left is right with h = 24 (7- 24- 25 triangle )
Here h = 24, b₁ = 4 and b₂ = 7 + 4 = 11 , then
A = [tex]\frac{1}{2}[/tex] × 24 × (4 + 11) = 12 × 15 = 180 units²
4) x/5 =2
plz explain
x+2y=3;3x+5y=7 solve by elimination method
Answer:
(- 1, 2 )
Step-by-step explanation:
Given the 2 equations
x + 2y = 3 → (1)
3x + 5y = 7 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 3x - 6y = - 9 → (3)
Add (2) and (3) term by term to eliminate x
0 - y = - 2
- y = - 2 ( multiply both sides by - 1 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for y
Substituting into (1)
x + 2(2) = 3
x + 4 = 3 ( subtract 4 from both sides )
x = - 1
solution is (- 1, 2 )
Answer:
(2,1)
Step-by-step explanation:
A P E X
please help me figure this out!!
Solve the right triangle. Round decimal answers to the nearest tenth.
B
14
6
А
b
С
In AABC, ~ .mA
7, and m_B~
Answer:
b=12.6
m<A=25.4
m<B=64.6
Find the 53rd term of the arithmetic sequence -12, -1, 10
440 is the answer
Tn=a+(n-1)d
Tn=53
a= -12
n=53
d= 11
-12+(53-1)11 = 440
Answer:
560Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
Since we're finding the 53rd term
a = - 12
n = 53
d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11
d = 11
So we have
A(53) = - 12 + (11)(53 - 1)
= - 12 + 11(52)
= -12 + 572
= 560
We have the final answer as
560Hope this helps you
Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes with four standard dice.
Answer:
[tex]Pr = \frac{1}{216}[/tex]
Step-by-step explanation:
The sample space of a single dice is:
[tex]S = \{1,2,3,4,5,6\}[/tex]
[tex]n(S) = 6[/tex]
Required:
The probability of rolling 3 sixes
In a sample space of a roll of die, we have:
[tex]n(6) = 1[/tex]
In a roll of dice, the probability of rolling a 6 is:
[tex]P(6) = \frac{n(6)}{n(S)}[/tex]
[tex]P(6) = \frac{1}{6}[/tex]
In 3 rolls, the probability is:
[tex]Pr = P(6)^3[/tex]
[tex]Pr = [\frac{1}{6}]^3[/tex]
[tex]Pr = \frac{1}{216}[/tex]
A nature park has two ticket plans. With one plan, you pay a $24 yearly membership fee plus $8
for each visit. The other plan has no membership fee, but you pay $14 for each visit. Isaac is on
the first ticket plan and Maddie is on the second ticket plan. After how many visits will they each
have paid the same amount
F 5
G6
H4
J 3
Answer:
G6
Step-by-step explanation:
A plane traveled 1092 miles to Riyadh and back. The trip there was with the wind. It took 6
hours. The trip back was into the wind. The trip back took 7 hours. Find the speed of the plane
in still air and the speed of the wind.
Answer:
Step-by-step explanation:
p and s was are the speeds of the plane and wind, respectively.
Traveling with the wind, the plane moves p+w miles per hour.
p+w = (1092 miles)/(6 hours) = (182 miles)/hour
Traveling against the wind, the plane moves p-w miles per hour.
p-w = (1092 miles)/(7 hours) = (156 miles)/hour
Add the equations together
p+w = 182
p-w = 156
—————-
2p = 338
p = 169 miles per hour
w = p-156 = 13 miles per hour
Please help im lost..
Answer:
c
Step-by-step explanation:
Use the net to find the surface area of the rectangular prism
Answer:
52
Step-by-step explanation:
the product of 5 and a number X is 22
i dont need what it equals
Inverse operations to the rescue!
So, you'd perform 22÷5 (product signals multiplication) to get your answer, 4.4. x=4.4
**EASY**
Determine the intercepts of the line -
2x + 5y = -6
Y-intercept: (_ , _)
X-intercept: (_ , _)
Of the last 10 contestants on a game show, 8 won a prize. Considering this data, how many of the next 20 contestants would you expect to win a prize? contestants Submit Type the answer please or don't do it
Bruce drewa scale of a resturaunt the scale he used was 1 milimeter 10 meters the resteraunt kitchen is 3 milimeters long in the drawing how long is the actual kitchen
Answer: 30 meters.
Step-by-step explanation:
Since the scale used by Bruce in the drawing that she made is:
1 milimeter = 10 meters
If the restaurant kitchen is 3 milimeters long in the drawing, the length of the actual kitchen will then be:
1/3 = 10/x
Cross multiply
1 × x = 3 × 10
x = 30
Therefore, the actual length is 30 meters.
What is the equation of the line with slope −3 and y-intercept 6? Express your answer in slope-intercept form.
A. y = 3x + 6
B. y = −3x − 6
C. y = −3x + 6
D. y = 3x − 6
Answer:
C. y = -3x +6
Step-by-step explanation:
y = mx + b
m= slope = -3
b = y-intercept = 6
y = -3x + 6
Which two of the following have the same value as 50.96?
Choose 2 answers:
Answer:
A and C
Step-by-step explanation:
A: 5 tens = 50
9 tenths = 0.9
6 hundreths = 0.06
= 50.96
C: 5*10 = 50 + 9 * 1/10 = 0.9 + 6 * 1/100 = 50.96
Which expression is not a polynomial?
find the product (x+3y^2) (3x-3y^2)
Answer:
3x^2 - 12x·y^2 - 9y^2·y^4
Step-by-step explanation:
Apply the distributive property of multiplication here.
x times (3x - 3y^2) is 3x^2 - 3x·y^2.
3y^2 times (3x - 3y^2) is 9x·y^2 - 9y^2·y^4.
Thus, the desired product of the given binomials is the sum of the above results:
3x^2 - 3x·y^2 - 9x·y^2 - 9y^2·y^4
which shortens to 3x^2 - 12x·y^2 - 9y^2·y^4
Help me out here plz
Answer:
I think that it would be [tex]28^{2}[/tex] cm
Step-by-step explanation:
8 x 7 = 56
56/2 = 28
Subtracting fractions with unlike denominators
Two similar cylinders have heights of 3 cm and 6 cm respectively. If the volume of the smaller cylinder is 30 cm3, find the volume of the larger cylinder.Required to answer. Single line text.
Answer:
Volume of big cylinder = 1,438.76 cm (Approx.)
Step-by-step explanation:
Given:
Height of smaller cylinder = 3 cm
Height of big cylinder = 6 cm
Volume of smaller cylinder = 30 cm³
Find:
Volume of big cylinder
Computation:
Volume of smaller cylinder = πr²h
(22/7)(r²)(3) = 30
Radius of small cylinder = 1.783 cm (Approx.)
So,
Radius of big cylinder = 1.783 x 2 = 3.566 cm (Approx.)
Volume of big cylinder = πr²h
Volume of big cylinder = (22/7)(3.566)²(6)
Volume of big cylinder = 1,438.76 cm (Approx.)
Three friends were helping to push a car. If all three are pushing equally hard and the net force is 600N, how hard is each one pushing the car?
Answer:
One person is pushing the car in the net force of 200N
Step-by-step explanation:
600 divided by 3 (600 N in total, and 3 person pushing.)
What is the equation of this
Answer:
it's correct
Step-by-step explanation:
Tim washed 15 cars in 3hours.how many cars can he wash In 7 hours?
Answer:
35 cars
Step-by-step explanation: ok so here is how you do it you divide 15 and 3 to find out how much cars Tim washed in one hour so in this case we got 5 then we multiply the hours by 7 and we get 35 cars
Answer:
I believe the answer is 35.
Step-by-step explanation:
15+15=30
30+5=45
1 hour = 5 cars
3 hours = 15 cars
6 hours = 30 cars
7 hours = 35 cars
15 divided by 3 = 1
so yeah hope this helps you.
Percy wrote a total of 15 pages over 5 hours. After spending 6 hours writing this week, how many pages will Percy have written in total? Assume the relationship is directly proportional. pages
Help me please and thank you x
hope this helps:
x is 10 degrees...