Tyler is observing the ascent of a steel beam being lifted by a crane from a position about 250 ft away. What trigonometric function models the height h in feet of the beam as a function of the angle of inclination θ from Tyler's position to the steel beam
Answers
Answer: [tex]h=250 \tan \theta[/tex]
Step-by-step explanation:
Given
Tyler is 250 ft away from the crane
The angle of inclination is [tex]\theta[/tex]
Using the figure, we can write heigh h as
[tex]\Rightarrow \tan \theta =\dfrac{h}{250}\\\\\Rightarrow h=250\tan \theta[/tex]
Related Questions
Find the Total surface area
A prism 11 in tall with a right triangle for a base with side lengths 6 in, 8 in, and 10 in.
A) 344 in2
B) 383 in2
C) 312 in2
D) 288 in2
Answers
Answer:
You may not recognize this...but the base forms a "Pythagorean" right triangle with legs of 6 and 8 cm
The area of a right triangle is (1/2) ( product of leg lengths)
So...the area of the base = (1/2) (6 * 8 ) = (1/2) 48 = 24 cm^2
And the volume of the prism is just the base area x height = 24 x 7 = 192 cm^2
Step-by-step explanation:
A, B & C form a triangle where ∠ BAC = 90°. AB = 6 mm and CA = 7.3 mm. Find the length of BC, giving your answer rounded to 1 DP.
Answers
Answer:
BC ≈ 9.5 mm
Step-by-step explanation:
Since, ΔBAC is a right angle triangle,
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
BC² = AB² + AC²
BC² = 6² + (7.3)²
BC = [tex]\sqrt{89.29}[/tex]
BC =
BC = 9.445
BC ≈ 9.5 mm
A father is eight times as old as his son . In 10 years , he will be three times as old as his son . The age of son is
Answers
Answer:
The son is 4years old
Step-by-step explanation:
Let the son's age=x
the father's age=8x
IN 10YEARS,
Son's age=x+10
father's age=8x+10
Equate them
8x+10=3(x+10)
8x+10=3x+30
5x=20
x=4
Start time: 6:30 PM
Elapsed time: 2 hours and 18 minutes
End time _______
What is the end time?
Answers
Answer:
I think this is right but could be wrong 8:18 pm so lmk ??
8.40pm
Step-by-step explanation:
6.30 changed to 24 hour format
the answer will be 1830+0218=2048
a watch is sold for $130 at a loss of $30. what was the original cost of the watch
Answers
Answer:
130.00 + 30.00 = $160.00
Step-by-step explanation:
48÷-6-(-2)3
Calculate the following , showing all the steps
Answers
Answer:
-2
Step-by-step explanation:
48 ÷ -6- (-2)3
= -8 - (-2)3
= -8 - (-6)
= -8 +6
= -2
2) -6 - (-6) = 0
3) 48/0 = 0
The water pipe has a radius of 5 cm and a height of 7 cm. What volume of
water does it take to fill the pipe?
Answers
Answer:
549.5 cm
Step-by-step explanation:
Answer:
pipe is cylinder
volume= pi r²h
radius= 5cm
height= 7cm
volume = 22/7 × (5×5) × 7
simplifying the equation
= 22 × 25
= 550cm³
Please help if possible :)
Answers
Answer:
4.5
Step-by-step explanation:
any value of XYZ divided by the corresponding value from RST = 4.5 the scale factor
if i can make 60 cakes in 15 minutes , how many can i make per minute what is the unit rate
Answers
4 per a minute
Step-by-step explanation:
Pig E Bank brags a 4% interest rate compounded annually. If Mr. Ant wants to invest $5,000
on his first born child's birthday and surprise him with the account on the child's 40th
birthday. Write and solve an equation to determine the amount in the account when his
child turns 40.
Answers
hii! i just wanted to say hope you're having a fantastic day and hope that things are going well (: stay strong and stay safe!
Watch help video
In ADEF, the measure of ZF=90°; the measure of ZD=67°, and FD = 7.4 feet. Find
the length of EF to the nearest tenth of a foot.
E
X
67°
F
D
7.4
Answers
Answer:
A.
Step-by-step explanation:
What is 3.45 written as a percentage?
Answers
Answer:
345%
Step-by-step explanation:
Please answer this below Question # 15
Answers
Answer:
[tex]c. \: 5x - 2y = 10 \\ \: \: \: \: \: 10x - 4y = 20 \\ [/tex]
Richard and Stephen win some money and share it in the ratio 2:1. Richard gets £12 more than Stephen. How much did Stephen get?
Answers
Answer:
12
Step-by-step explanation:
because ratio 2 to 1 = all =3 if Richard got 12 more than stephan that is the one more so In 2 to 1/1=12 so stephan gets 12
Answer:
huh whats that? all you have to do is use the internet
if your heat beats 75times per minute how many time does it beat in 5 hours
Answers
Answer:
This is your answer . IfI'm right so,
Please mark me as brainliest. thanks!!!
Can someone help me with this problem ??
Answers
A= 120 because B and A are vertical angles
Y= 22° because 120 +38= 158 and 180-158 = 22°
Answer:
a = 120
b = 120
y = 22
a and b and vertical angles
Step-by-step explanation:
angles A and B are vertical angles so they're equal.
you can find angle b because all the angles in a triangle add up to 180
19 + 41 + B = 180
b = 180 - 19 - 41
b = 120
and since theyre equal, that means
a = 120 as well.
since you know a = 120 you can find y.
120 + 38 + y = 180
y = 180 - 120 - 38
y = 22
wanna help a fellow hawt person out?
Answers
Answer:
50
Step-by-step explanation:
You gotta add up 38 and 12 because it reflects and it's the same across ABC
Barak spent $20 at the mall. This represents 16% of the money he earned working at the pizza parlor last week. How much money did Barak earn at the pizza parlor last week?
Answers
Answer: Amount of Money Barak earned last week =$125
Step-by-step explanation:
Amount of money Barak spent= $20
Amount of money spent = 16% of Money earned (X)can be represented as
16% x X =20
0.16 x X =20
X = Money earned last week = 20/ 0.16= $125
q/19 < 4
pls be correct if you type it !!!!
Answers
Answer:
q<76
Step-by-step explanation:
hope this is the answer you were looking for!
Find the value of the marked angles in each of the following ( see image ).
Please show workings.
The only given angles are 62° and 85°.
The angle to look for is marked by “))”
Answers
Answer:
(180-62)
118
180-118=62
180-85=95
180-(62+95)
180-157
23
Answer:
23°Step-by-step explanation:
The inscribed is the cyclic quadrilateral.
The opposite angles are supplementary in cyclic quadrilaterals.
The angle opposite to 85° is:
180° - 85° = 95°The missing angle of the triangle is:
180° - (62° + 95°) = 23°Which term has the definition "A data point that is very large or very small in comparison
to the rest of the data set"?
A.Maximum
B. Outlier
C. Variability
D. Minimum
Answers
Answer:
B. Outliers
Step-by-step explanation:
ahmed is 4 years old than sara, 5 years ago the sum of their age was 48, write a algebric equation to represent the situation and find saras age
Answers
Answer:
bjbhj
Step-by-step explanation:
It takes Robert 5 minutes to complete 3 math problems. Use the equation y= x/3 times 5 to find how long it will take Robert to complete 12 math problems. x = math problems; y = minutes
Answers
Answer:
20 minutes
Step-by-step explanation:
y=(12/3)*5=20
The ratio of girls to boys is 12 girls to 20 boys.
If there are 3 girls, how many boys are there?
There are
boys.
Next Question
Answers
Answer:
5
Step-by-step explanation:
ratio = 12:20
12/4 = 3
so we do
20/4 = 5
there are 5 boys
Another way, we can write it as a fraction
12/20 = 3/x
12x = 60
x = 5
Answer:
5 boys
Step-by-step explanation:
Write it like this:
3/X=12/20
Then, cross multiply.
3*20=60
X*12=12X
12X=60
Divide both sides by 12
60/12=5
X=5
The unknown number is 5
If there are 3 girls, then there are 5 boys.
PLEASE HELP
show work for problem
Answers
Answer:
[tex]tan(x)-1 =30/45[/tex]
Step-by-step explanation:
put that in your calculater
Hi please help thank you so much
Answers
Answer:
23.09 ft
Step-by-step explanation:
tan = [tex]\frac{opposite}{hypotenuse}[/tex]
⇒ tan 13 = [tex]\frac{x}{100}[/tex]
tan of 13 is 0.23086
⇒ 0.23086 = [tex]\frac{x}{100}[/tex]
multiply each side by 100
⇒ 0.23086 x 100 = [tex]\frac{x}{100}[/tex] x 100
solve:
⇒ 23.0868
round to the nearest hundreth:
⇒ 23.09
In each equation, select an operation to make the equation true.
12 ___ -15 = 27
5. -18 ___ -¾ = 24
Answers
11/8 for second one
Write a rational number between -3 and -4.
Answers
Answer:
-3.25
Step-by-step explanation:
Answer:
-3.25
Step-by-step explanation:
sorry I'm wrong.....im not that good at math
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every 2 months. The overcharged amount w varies directly with time t . (a) Find the equation that models the variation . (b) Solve the equation to find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked. Show all your steps
Answers
Answer:
20 months
Step-by-step explanation:
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months. The overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex].
(a)
As the overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex],
[tex]w=kt[/tex]
Here, [tex]k[/tex] is a constant.
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months.
Put [tex]w=1\,,\,t=2[/tex]
[tex]1=2k\\k=\frac{1}{2}[/tex]
So,
[tex]w=\frac{t}{2}[/tex]
(b)
To find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked, put [tex]w=10[/tex] in [tex]w=\frac{t}{2}[/tex]
[tex]10=\frac{t}{2}\\\\t=10(2)\\[/tex]
[tex]t=20[/tex] months
What is the range of this data set?
3.7, 18.5, 2.7, 13.8, 7.5, 15.2, 10.1, 7.6, 17.8
14.1
15.8
17.8
18.5
Answers
Answer:the answer is 15.8
Step-by-step explanation: