Answers
a)
sin18 = AB/80
AB = (sin18)(80) = 24.7214 m
b)
tan25 = BT/AB = BT/24.7214
(24.7214)(tan25) = BT
BT = 11.5278 m
Related Questions
If x varies inversely as the square of y and if x=3 when y=-1, what is the value of x when y =3
Answers
Answer:
[tex]x[/tex] would be [tex](1/3)[/tex] when [tex]y = 3[/tex].
Step-by-step explanation:
The question states that [tex]x[/tex] varies "inversely" as [tex]y^2[/tex]. In other words, there is a non-zero number [tex]a[/tex] (a constant) such that:
[tex]\displaystyle x = \frac{a}{y^2}[/tex].
The challenging part is to find the value of [tex]a[/tex] in this equation.
Given that [tex]x = 3[/tex] when [tex]y = -1[/tex], replace the [tex]x[/tex] in this equation with [tex]3[/tex] and [tex]y[/tex] with [tex](-1)[/tex]. This equation should still be valid:
[tex]\displaystyle 3 = \frac{a}{(-1)^{2}}[/tex].
Solve for [tex]a[/tex]:
[tex]a = 3 \times (-1)^2 = 3[/tex].
Hence, the relation between [tex]x[/tex] and [tex]y[/tex] becomes:
[tex]\displaystyle x = \frac{3}{y^2}[/tex].
Find the value of [tex]x[/tex] when [tex]y = 3[/tex] by replacing the [tex]y[/tex] in this equation with [tex]3[/tex].
[tex]\displaystyle x = \frac{3}{3^2} = \frac{1}{3}[/tex].
In other words, the value of [tex]x[/tex] would be [tex]\displaystyle \frac{1}{3}[/tex] when [tex]y = 3[/tex].
If XYZ congruent to DEF the what corresponding angle is congruent to angle x (enter your answer using the angle letter only)
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
XYZ is congruent to DEF so:
X = D
Y = E
Z = F
A cylinder has a diameter of 12 cm and a height of 20 cm. What is the surface area and volume of the cylinder?
Answers
Answer:
980.1769079 cm^2
2261.946711cm^3
Step-by-step explanation:
(12 points)Please I need this answer right away multiple-choice answer trolls will be reported thank you lovesss
Hopefully one if you can help me And explain
Answers
Answer:
It's A
Step-by-step explanation:
B is out, because each step increases the value linearly by 1
C is out, because each step increases the value linearly by 9
D is out, because each step increases the value linearly by 6
A increases fivefold per step
I plotted the given ordered pairs as points on a plot and figured out the exact function for you, just so that you can look at it
Conner Solved 2 math problems in 5 minutes. Atthis rate, how long will it take Conner to solve 10 math problems?
Answers
Answer:
25 minutes Will take him to complete the problem if the rate is same
Answer:
25 minutes
Step-by-step explanation:
Divide 10 by 2 and get 5.
Multiply 5 by 5 and get 25.
Pls notify me if my answer is incorrect, for the other users that will see this response.
-kiniwih426
PLEASE HELP I'M SORRY FOR A LOT OF QUESTIONS but I need help
Answers
Answer:
Hello! answer: 268 square meters
Step-by-step explanation:
To find the total surface area you find the area of each face then add them up so...
10 × 3 = 30
10 × 3 = 30
8 × 3 = 24
8 × 3 = 24
10 × 8 = 80
10 × 8 = 80
Now that I found the area for each face I will just add them up so...
30 + 30 + 24 + 24 + 80 + 80 = 268 therefore the area is 268 square meters Hope that helps!
[tex] \large\mathrm {\boxed{ \boxed{268 \: \: m {}^{2} }}}[/tex]
Solution :The above pieces will form a cuboid, having dimensions :
[tex] \mathrm{\longrightarrow length = 10 \: m}[/tex]
[tex] \mathrm{\longrightarrow width = 8 \: m}[/tex]
[tex] \mathrm{\longrightarrow height = 3 \: m}[/tex]
We know that Surface area of Cuboid is :
[tex] \large \longmapsto \mathrm{{2(lw + wh + lh)}}[/tex]
Let's solve,
[tex]\longrightarrow2[(10 \times 8) + (8 \times 3) + (10 \times 3)][/tex]
[tex]\longrightarrow2[80 + 24 + 30][/tex]
[tex]\longrightarrow2 \times 134[/tex]
[tex]\longrightarrow268 \: m {}^{2} [/tex]
[tex] \circ { \underline{ \boxed{ \sf{ \color{green}{ \mathfrak{hope \: \: it \: \: helps \: \: you.....}}}}}}∘[/tex]
Please help!! Figure B is scaled copy of figure A, what is the scale factor from figure A to figure B?
Answers
Answer:
scale factor = 2
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, fig. B to fig. A
Consider the horizontal lengths, then
scale factor = [tex]\frac{8}{4}[/tex] = 2
how do you give BRAINLYIST for mathematics
Answers
Answer:
To give brainliest, you have to choose between one of the two answers to your question, whichever answer you want to give brainliest to. There will be a crown symbol at the top right of the answer I think and by clicking that, you will be giving brainliest to an answer for your question.
Step-by-step explanation:
Hope this helps
universal set={members of an expedition to the South pole},A={people born in Africa},C={people born in China},F={females} Amber intersect A union C What can we say about Amber?
Answers
Answer:
Amber is fossilized tree resin that has been appreciated for its color and natural beauty since Neolithic times. ... There are five classes of amber, defined on the basis of their chemical constituents. Because it originates as a soft, sticky tree resin, amber sometimes contains animal and plant material as inclusions.
A person whose eyes are 5 feet about the ground is standing on the runway of an airport 100 feet from the control tower. That person observes an air traffic controller at the window of the 132-foot tower. What is the angle of elevation?
Answers
Answer:
Step-by-step explanation:
132-5 therefore the height from the eyes to the window is 127
100 feet away from the base of the tower
This forms two legs of a triangle
trying to find the degrees of this triangle.
Since its the two legs, you can use tanx which = to opposite side/adjacent side
Therefore, it is tanx = 127/100
But you are looking for x so arctan(1.27)
Must use calculator to find x
Hope this answer helps you :)
Have a great day
Mark brainliest
Given the following information, determine which lines are parallel and what justifies them being parallel.
Answers
Answers:
Blank 1 = p and q
Blank 2 = Consecutive interior angles converse
=================================================
Explanation:
There's a lot of visual noise here, meaning there's a lot of lines and angles to potentially distract. I recommend redrawing things but only drawing lines p and q, and the transversal cut line t. Furthermore, I would mark only angle 8 and angle 13. See the diagram below.
The diagram is optional, but hopefully you can see that the angles are same side interior angles, aka consecutive interior angles. That's why we go with the consecutive interior angles converse
If we drop the "converse" portion, then that theorem says parallel lines lead to supplementary consecutive interior angles. The converse just reverses the flow of the logic.
Given 4x2 – 7x = -3, what are the solutions??
Answers
Step-by-step explanation:
4*2-7x=-3
8-7x=-3
-7x=-3-8
-7x=-11
x=-11/-7
x=1.5714...
Answer:
x = {3/4, 1}Step-by-step explanation:
4x² - 7x = -34x² - 7x + 3 = 04x² - 4x - 3x + 3 = 04x(x - 1) - 3(x - 1) = 0(x - 1)(4x - 3) = 0x - 1 = 0 | 4x - 3 = 0x = 1 | x = 3/4Can any help me 10 points!!!!!! Its to pass math
Answers
Answer:
Option 4
Step-by-step explanation:
3x(x+2)-4(x+2)
(3x-4)(x+2)
3x²+6x-4x-8
3x²+2x-8
Brainliest please
Answer:
(x + 2)(3x - 4)
3x^2 + 2x - 8
Step-by-step explanation:
Factor out x + 2.
You get: (x + 2)(3x - 4)
Now multiply it out:
(x + 2)(3x - 4) = 3x^2 - 4x + 6x - 8 = 3x^2 + 2x - 8
5 plus 6 plus 7 plus 8 plus 9 plus 10 plus 11 plus ... if your answer is random you will be reported
Answers
I did
11+10=21
9+8=17
7+6=13+5=18
And added all the = number and got 56
Answer:
56
Step-by-step explanation:
3y - 2 = 13 solve for y
Answers
Answer:
y = 5
Step-by-step explanation:
3y - 2 = 13
We are solving for y, so we want to isolate it.
Add 2 to both sides.
3y = 15
Continue isolating y by dividing both sides by 3.
y = 5
Check your answer by plugging it back into the original equation.
3y - 2 = 13
3(5) - 2 = 13
Multiply.
15 - 2 = 13
Subtract.
13 = 13
Your answer is correct.
Hope this helps!
Answer:
y = 5
Step-by-step explanation:
Get y by itself:
3y - 2 = 13
+2 +2
3y = 15
Divide by 3:
3y = 13
÷ 3 ÷ 3
y = 5
simplify 4 by 5 + 2 in bracket 3 minus 2 by 3 in bracket
Answers
Answer and Step-by-step explanation:
(4 × 5 + 2)(3 - (2 × 3))
I think this is it but I'm not sure.
22 × -3 = -66 is I think the answer.
#teamtrees #PAW (Plant And Water)
Answer:
98/15
Step-by-step explanation:
[tex](\frac{4}{5} +2)[/tex][tex](3-\frac{2}{3} )[/tex]
=(4 + 5*2)/5 (3*3 -2)/3
=(4+10)/5 (9-2)/3
=(14/5 )(7/3)
if there is no any sign between the two fraction inside bracket then it means to multipli.
=14/5 * 7/3
=14*7/5*3
=98/15
The ratio of two numbers is 7 : 5. If their difference is 42, find the numbers.
pls...answer my question
its urgent !
Answers
Answer:
First number = 147
Second number = 105
Step-by-step explanation:
Let the two numbers be 7x and 5x
7x - 5x = 42
2x = 42
x = 21
First number = 7x = 7 x 21 = 147
Second number = 5x = 5 x 21 = 105
Hope this helps!
josh started reading at 8:18 and stoppted reading at 8:57 how many minutes did he read
Answers
Answer:
Step-by-step explanation:
41 minutes
He finished reading at 8:57 AM. How many minutes did he read? >) 41 minutes.
can i get brainlyest thx
Answer:
He read for 39 minutes
Step-by-step explanation:
You just subtract 57 - 18
My sister is 18 years old. My brother says that his age multiplied by 3, less 12 is equal to my sister's age. How old is my brother?
Answers
Answer:
10
Step-by-step explanation:
10 x 3 = 30
30 - 12 = 18
9 x 2 = 18
Help I need an answer asap
Answers
Answer:
6
Step-by-step explanation:
To find how many perennials there are, multiply the amount of plants by the percent of perennials. When you multiply percents, just put the percent behind the decimal
60x0.35=21
There are 21 perennials
Do the same for the biennials:
60x0.25=15
Therefore 15 biennials
Subtract the amount of perennials from the amount of biennials
21-15=6
There is 6 more perennials than biennials
Answer:
the answer is 6
21-15=6
Step-by-step explanation.
35% of 60 = 21 for perenalis
25% of 60 = 15 for biennials
40% of 60 = 24 for annuals
What is the length of DF?
Answers
Answer:
Step-by-step explanation:
Because this is an isosceles trapezoid, the diagonals are congruent. That means that DF is the same length as EG which is 11.
Simplify x/12x+x^2
Find the excluded values step by step
Answers
Answer:
13/12 x²
Step-by-step explanation:
x / 12 x + x²
Rewrite
x / 12 x + x + x²
Write the division as fraction
1/12 x + x + x²
Calculate the product
1/12 x² + x²
calculate the sum
13/12 x²
6th grade math help me pleaseee
Answers
Answer:
$0.27
However answered below me is correct. I divided backwards.
My apologies. It is 5am here locally and I've been up doing math for too many hours.
Unit price = Total cost divided by quantity
Unit price = 1.91 ÷ 7= 0.2728571429
rounded to the nearest cent $0.27
Answer:
27 cents
Step-by-step explanation:
Solve the equation. 2e - 2 what does e equal
Answers
PLEASE PLEASE HELP ME!!! I KEEP GETTING SPAMMED AND I JUST WANT HELP
THANK YOU
EXPLANATION = BRAINLIEST
The area of the triangle is 400 square cm.
The base is ___ cm.
Answers
Answer:
25 cm
Step-by-step explanation:
hope it helps.....
Answer:
25 cm
Step-by-step explanation:
Use Algebra:
Area of a triangle is [tex]A = \frac{1}{2} bh[/tex]
[tex]\frac{1}{2}b[/tex] × 32 = 400
[tex]\frac{1}{2}b[/tex] = 12.5
[tex]b = 25 cm[/tex]
i require help lol so help me pleasw
Answers
Answer/Step-by-step explanation:
Mean is a measure of center tendency which can be said to be the average value of a set of data. It can be referred to as the commonest value in a data set. It is the sum of all data values in a given set divided by the number of values.
For example, a test score for a class of 5 is given as 5, 6, 2, 4, 7
The mean = sum of all values/number of data values
= (5 + 6 + 2 + 4 + 7)/5
= 24/5
Mean = 4.8
Jeffrey made a scale drawing of a house and its lot. He used the scale 7 inches : 4 feet. If the actual width of the backyard is 48 feet, how wide is the yard in the drawing?
Answers
Answer:
12
Step-by-step explanation:
Jeffrey made scale drawings of the house a lot
He used a scale of 7 inches: 4 feet
The actual width of the backyard is 48
Therefore the width of the backyard in the drawing is
= 48/4
= 12
2.
a) Expand: a² - b²
Answers
Answer:
Step-by-step explanation:
a^2-b^2
(a-b)(a+b)
Answer:
[tex](a-b)(a+b)[/tex]
Step-by-step explanation:
This particular pattern: [tex]a^2-b^2[/tex]; is the difference of squares pattern.
Difference of Squares Pattern: [tex](a-b)(a+b)=a^2-b^2[/tex]
There are other square of binomial patterns (though the difference of squares pattern isn't really a square of binomial, I learned these three at the same time)
[tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex](a-b)^2=a^2-2ab+b^2[/tex]
The sum of two numbers is –25. One number is 10 more than
the other one. Find the numbers.
Answers
Answer:
A = -7.5 B = -17.5
Step-by-step explanation:
A + B = -25
A = B + 10
Plug the second equation into the first equation:
B + 10 + B = -25
2B = -35
B = -17.5
Plug that value into the first equation:
A - 17.5 = -25
A = -7.5
For $155.50, a cosmetician buys 7 L of moisturizer and repackages it in 250-milliliter jars. Each jar costs the cosmetician $0.50. Each jar of moisturizer is sold for $8.95. Find the profit on the 7 L of moisturizer.
Answers
Answer:
$81.10
Step-by-step explanation:
Profit = total revenue - total cost
1 liter = 1000 mm
7 liter = 7000 mm
Number of jars needed = 7000 / 250 = 28
total revenue = number of jars sold x price per jar
28 x $8.95 = 250.60
Total cost = $155.50 + (0.5 x 28) = 169.50
Profit = 250.60 - 169.50 = 81.10