A firefighter is standing 33 feet away from a 45 foot tall building. The firefighter looks up and sees that a cat that is stuck on the top of the building and also notices a dog in a second flooor window that is 15 feet above ground. What is the angle of elevation of the cat?
Given :
Distance of firefighter from the building, D = 33 feet.
Height of building, h = 45 feet.
To Find :
The angle of elevation of the cat.
Solution :
Let, angle of elevation is Ф.
We know, tan Ф = h/D
tan Ф = 45/33
Ф = tan⁻¹( 45/33 )
Ф = 53.75°
Therefore, angle of elevation is 53.75° .
Hence, this is the required solution.
A jar contains 12 caramels, 8 mints and 7 dark chocolates. What is the probability of selecting a mint? simplify if possible.
ME PUEDEN AYUDAR ES PARA HOY
Answer:
8/27
Step-by-step explanation:
What is 5+5 I will give brainliest
Answer:
5+5=10
tep-by-step explanation:
Replace the ? with a number that balances the equation. -3.4 = -2 + ?
Answer:
?=-1.4
Step-by-step explanation:
The number that fits the ? is -1.4. Hope it helps!
Answer:
-1.4
Step-by-step explanation:
why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1
Answer:
Sin 90 = 1/1 = 1
Use trigonometry formula and a triangle with lengths of 1
. Your friend claims that it is not possible to have a glide reflection if you have one translation followed by two reflections. Is your friend correct? Explain your reasoning.
Answer:
Yes my friend is correct
Step-by-step explanation:
You cannot have a glide reflection if you have one translation which is followed by two ( 2 ) reflections .
This is because Glide reflection is made up of one ( 1 ) reflection in line with a single translation along the same line
Glide reflection is known as an opposite isometry of the Euclidean plane
Glide reflection is a single operation that involves a reflection over a line and followed by a translation.
Your friend's claim is correct.
From the definition, we can deduce that glide reflection consists of:
1 reflection1 translationThis means that: 1 translation and 2 reflections is not a glide reflection
Hence, your friend's claim is correct.
Read more about glide reflection at:
https://brainly.com/question/2975847
Can Anybody Help With Geometry Work?
the answer would be AAG
In isosceles triangle ABC, AB=AC.If B=55, calculate A
Answer: ∠A = 70°
because ABC is an isosceles triangle and AB = AC
=> ∠B = ∠C = 55°
=> ∠A = 180-(∠B + ∠C) = 180° - 55°.2 = 70°
Step-by-step explanation:
sorry i can't help :(
You purchased concentrated cleaner that must be diluted (watered down)
before use. Container A is the cleaner, which is a 20% solution. Container B is
pure water. You are mixing together the contents of Container A and
Container B to produce 80 gallons of 5% solution. How many gallons from
each container are needed to create the 80 gallons of 5% cleaning solution?
Write your answers as integers only.
Container A: 20% Cleaning Solution =
gallons
Container B: Pure Water =
gallons
Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.
Complete the synthetic division problem below.
-1/ 2 8 6
What is the quotient in polynomial form?
O A. X-6
O B. X+6
C. 2x + 6
D. 2x-6
Answer:
c bc of -1/ 2 8 6 of you divide and then u multiple
The quotient of the synthetic division problem -1 | 2 8 6 in polynomial form is 2x + 6.
How to determine the quotient?The synthetic division problem is given;
-1 | 2 8 6
Remove the number before the | sign
2 8 6
Remove the middle number;
2 6
Introduce a variable starting from an exponent of 0 (let the variable be x);
2x¹ 6x⁰
Evaluate the exponents;
2x 6
2x + 6
Hence, the quotient of -1 | 2 8 6 in polynomial form is 2x + 6.
Read more about synthetic division at:
brainly.com/question/10465785
#SPJ2
What’s the surface area of 200 square inches ?
Answer:
5.77in
Step-by-step explanation:
A cube has 6 square faces, so each face would have area 200 sq in/6=33.33 sq in
Since the area of each face equals the square of the sides, the edge of the cube would be sqrt%2833.33sq+in%29= approx. 5.77 in
Find the slope of the line passing through the points (6, 1) and (6,-6).
Answer:
Slope = undefined
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
(6, 1)
(6, -6)
1 - (-6)/6 - 6= 7/0
Slope = undefined
For reference:
0/x = 0
x/0 = undefined
Hope this helps!
A shipping company charges a $3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds. . George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping. What is the maximum number of pounds that this package could be? The Maximum number of pounds is
Answer:
32 pounds
Step-by-step explanation:
$3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds.
The first step would be to derived an equation
$3 + $0.75
3 + 0.75x
Where x = number of pounds
George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping.
Hence,
3 + 0.75x = 27
0.75x + 3 = 27
0.75x = 27 - 3
0.75x = 24
x = 24/0.75
x = 32 pounds
The maximum number of pounds that this package could be is 32 pounds
What is the absolute value of -250?
Answer:
250
Step-by-step explanation:
Pretty much every time it asks for the abasloute value it just asks how much to get the zero on the number line. It will ALWAYS be positive. For example -5 will be 5 to get to zero on the numberline. Same thing with a positive 5.
Find the slope and y-intercept of the line in each graph.
PLEASE HELP ASAP
Answer:
slope m = -2, y-intercept b = 1
Step-by-step explanation:
The slope is the change in y over the change in x.
Equation for slope: y2-y1/x2-x1=m
Since they already gave us the two points we just have to decide which one is our y2,y1 and out x2,x1 (which one you chose does not matter). And plug the numbers into the equation and get: -3-1/2-0=m, in this case, m=-4/2 and simplify it into -2. Now we have our slope.
The y-intercept is where the line crosses over the y-axis, and in our case, it is given to us in the (0,1) so our slope is 1.
Hope this helps you
Guy’s pls help me!!
What is the product of x^2 - 2x + 3 and x +1?
1) x^3 - x^2 + x + 3
2) x^3 - 2x^2 + 3x
3) x^2 - 3x +2
4) x^2 - x+4
Which property is used in the following expression ? 8(2 + 7) = 16 + 56
Answer:
Distributive property
Step-by-step explanation:
Vincent is selling candy bars to raise money for his soccer team. He started with a full box of 20 candy bars and has sold
3
10
of them so far. If each candy bar costs $1.25, how much money has Vincent raised?
We conclude that Vincent has raised a total of $7.50
how much money has Vincent raised?
We know that initially, he has 20 candy bars.
He sells 3/10 of that total number, so the number of candy bars sold is:
N = (3/10)*20 = 6 candy bars.
And sells each for $1.25, so the total amount that has Vincent raised is:
R = 6*$1.25 = $7.5
We conclude that Vincent has raised a total of $7.50
If you want to learn more about fractions:
https://brainly.com/question/11562149
#SP1
Greta offers to buy a team photo for 15 of her teammates, but 6 of them don't want one. If a team photo costs $2, how much will Greta spend on her teammates? Choose the correct expression and solution to this problem .
Answer:
$18
Step-by-step explanation:
Mr. Roberts plans to drive a total of 56 miles. He has 29 more miles to go. How many miles has he driven so far?
Answer: The answer is 27
Given:
Mr. Roberts will drive 56 milesHe has 29 more miles to goWe will:
Subtract the total distance he plants to travel by the amount he has left.
Equation: [tex]\mathrm {56 - 29 = 27}[/tex]
Our answer is 27. Best of Luck!
I need the answer ASAP please
Answer:
Remainder → (76)
Step-by-step explanation:
Given function;
f(x) = x² - 5
f(x) = x² + 0.x - 5
We have to divide this function by expression (x + 9).
x + 9) x² + 0.x - 5 (x - 9
x² + 9x
- 9x - 5
- 9x - 81
76
Therefore, by dividing the function 'f' by (x + 9) remainder is (76).
Half of the difference between -5 and three times a number is -13.
translate into an algebraic expression.
A regular dodecagon (12 sided polygon) is rotated n degrees about it's center, carrying the dodecagon onto itself. What is the minimum number of degrees it must be rotated to carry the dodecagon onto itself? *
A. 30 degrees
B. 15 degrees
C. 60 degrees
D. 90 degrees
Which one?
Answer:
30 degrees
Step-by-step explanation:
If x varies directly as y. Find x when y = 1 if x= 12 when y= 4
Step-by-step explanation:
x/y=constant
12/4=3
x/1=3
x=3
Here, if x varies directly as y. When y=1, then x=3.
Given that, x varies directly as y.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
If x= 12 when y= 4
Here, x varies directly as y is x∝y
⇒ x=ky
⇒ 12=k(4)
⇒ k=3
So, x=3y
When y=1, we have
x=3(1)
⇒ x=3
Here, if x varies directly as y. When y=1, then x=3.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
#SPJ2
Doug did this work to solve an equation. Did he make an error? 7x-8=-x-(12)
HURRY PLZ!!!
Answer: What error is there, the answer to the equation is x= -1/2
Answer:
Step-by-step explanation:
Given the following sequence and an-1 = 12, what is an?
2, 7, 12, 17,...
Answer:
12
Step-by-step explanation:
[tex]a_{n-1}=12\\\\
Plug\: n = n + 1\\\\
a_{n+1-1}=12\\\\
\huge \red {\boxed {a_{n}=12}} \\\\[/tex]
(50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circle is 1/16 of the circle.)
16. What is P(red, yellow, blue)?
17. What is P(orange, yellow)?
18. P(green, blue, purple)?
19. P(pink)?
20. P(red, orange, yellow, green, blue, purple)?
Thank you!!
Answer:
I have the same questions and I got them right
Step-by-step explanation:
16. What is P(red, yellow, blue)?
P(red, yellow, blue)= 6/16= 3/8.
4/16+ 1/16+ 1/16= 6/16= 3/8
17. What is P(orange, yellow)?
P(orange, yellow)= 1/8
1/16+1/16= 2/16= 1/8
18. P(green, blue, purple)?
P(green, blue, purple)= 5/8
7/16+1/16+2/16= 10/16= 5/8.
19. P(pink)?
P(pink)=0
There is no pink color.
20. P(red, orange, yellow, green, blue, purple)?
P(red, orange, yellow, green, blue, purple)= 16/16= 1.
4/16+ 1/16+ 1/16+ 7/16+1/16+2/16 =16/16= 1.
Hope it helps!!!
Find the 12th term of the geometric ouence 5, 15, 45,...
Answer:
295,245
Step-by-step explanation:
It is always multiplying by 3.
5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98,415, 295245
Answer:
885735
Step-by-step explanation:
Nadia charges $5.50 an hour for babysitting. She babysits 19.50 hours the first week of the month and 19 hours the second week of the month. Suppose Nadia raises her rate by $0.55 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month? Complete the explanation and give your answer. Nadia's new hourly rate is $ . She would need to work hours in the next two weeks to make the same amount she made in the first two weeks.
Answer:
Step-by-step explanation:
ind her earnings for the first two weeks of the month at the $5.50 an hour rate.
5.50 × (18 + 20.50) = 5.50 × 38.5
= 211.75
She earned $211.75 the first two weeks of the month.
Find her new hourly rate, if she raises her rate by $0.55.
5.50 + 0.55 = 6.05
Her new hourly rate is $6.05.
Find how many hours she would need to work at $6.05 an hour in order to earn $211.75.
211.75 ÷ 6.05 = 35
She would need to work 35 hours.
Jordan created a scale drawing of a rectangular room. The drawing is 8 inches long by 6 inches wide. He used a scale of 1 inch equals 3 ft. What is the area, in the square feet, of the room?
Answer: 432 ft^2
Step-by-step explanation:
If 1"=3', and the box is 8"x6", then we can simply multiply the 8 and 6 by three. You would get 24 by 18.
Follow this up by the equation a=w*l to get
a=24*18 = 432 ft^2.