A new cell tower is being constructed and needs a guy-wire connected 180 feet up the tower and it needs to make an angle of 52° with the ground. What length does the wire need to be?
Answer:
228.42 ft
Step-by-step explanation:
To solve for this question, we would be applying the Trigonometric function of Sine.
Sin theta = Opposite/Hypotenuse
Theta = 52°
Opposite = 180ft
Hypotenuse = Length of the wire = x
Hence:
sin 52 = 180/x
x = 180/sin 52
x = 228.42327871 ft
Approximately = 228.42 ft
A bookstore had 45 copies of a magazine. Yesterday, it sold 2/3 of them. Today, it sold 3/5 of what remained. How many copies does the bookstore have left?
The bookstore has 10 copies left.
Step- By- Step Explanation
After the first day, 1/3 of the original amount remained: (1/3)·45 = 15
After the second day, 2/3 of that amount remained: (2/3)·15 = 10
1. Which table below represents a function that is not proportional?
I belive it is b
Step-by-step explanation:
I hope this help
Jen and Nikki are making bracelets to sell at the local market. They determined
that each bracelet would have eight beads and two charms.
Answer:
order pair (8,2),
(8,3),
(8,4),
(8,5)
Martha was recarpeting her bedroom, which was 15 feet long and 10 feet wide. How many square feet (the area) will she need to purchase?
Answer:
150 Square feet
Step-by-step explanation:
15 feet long
10 feet wide
Area = length x width
15 x 10 = 150
150 Square feet
Hope this helped!
Which costs the most per ounce, 60 oz. of peanut butter for $5.40, 28 oz. for $2.24, or 16 oz. for $1.76? Explain how you got your answer.
Answer:
28 oz. for $2.24 cost most per ounce
$12.5 per oz
Step-by-step explanation:
Find the cost per ounce by dividing the total oz by cost of the total oz
60 oz. of peanut butter for $5.40
Cost per the ounce = 60 oz / $5.40
= $11.11 per oz
28 oz. for $2.24
Cost of peanut butter per ounce = 28 oz / $2.24
= $12.5 per oz
16 oz. for $1.76?
Cost of peanut butter per ounce = 16 oz / $1.76
= $9.10 per oz
28 oz. for $2.24 cost most per ounce
I have $67 and spent $13 on ice cream, how much money do I have now?
$80
O $54
Answer:
Step-by-step explanation:
54
Select all the correct answers.
Which relations are functions?
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у
-2
-4
-2
-6
0
-8
2
-10
х
у
0
4
10
5
20
6
10
7
х
у
2
-10
1
-20
0
-10
-1
-20
х
у
2.5
lo
3.5
4
4.5
8
6.5
12
у
-10
4
-20
5
0
6
-10
7
The relations that are function are Table C and Table D
FunctionFunctions relates inputs to outputs. A function relates each value of a set with exactly one value of another sets.
Every element in the input must be related to some element in the output.
Same elements in x cannot be related to different elements in y.
Therefore, the relations that are function are as follows:
Table CTable Dlearn more on function here: https://brainly.com/question/24672067?referrer=searchResults
If f(x) = x^3 + 13x^2 + 46 x + 48 and x + 8 is a factor of f(x) find all of the zeroes of f(x) algebraically
If x + 8 is a factor, we can factor it out from f(x).
f(x) = (x+8)(x²+5x+6)
= (x+8)(x+2)(x+3)
The zeroes of f(x) are -8, -2 and -3.
Jessie designed a sculpture that is shaped like a circle. The circumference of the sculpture is 10π meters. Which measurement is closest to the area of the sculpture in square meters? 31.4 m² 78.5 m² 62.8 m² 314 m²
I believe that it is 31.4, but please correct me if I'm wrong.
The required area of the sculpture that is shaped like a circle is [tex]78.5m^{2}[/tex].
Given that,
Jessie designed a sculpture that is shaped like a circle,
The circumference of the sculpture is 10π meters.
We have to determine,
Which measurement is closest to the area of the sculpture in square meters.
According to the question,
Circumference of the circle = [tex]2\pi r[/tex]
Where, circumference = [tex]10\pi[/tex]
Then,
[tex]10\pi =2\pi r \\\\r = \dfrac{10\pi }{2\pi }\\\\r = 5m[/tex]
Therefore,
Jessie designed a sculpture that is shaped like a circle.
Area of the circle = [tex]\pi r^{2}[/tex]
Where, r = 5m
Then,
Area of the circle is given by,
[tex]= \pi r ^{2}\\\\= 3.14 \times (5)^{2}\\\\= 3.14 \times 25\\\\= 78.5m^{2}[/tex]
Hence, The required area of the sculpture that is shaped like a circle is [tex]78.5m^{2}[/tex].
To know more about Circle click the link given below.
https://brainly.com/question/20908820
Which hook should Riya buy?
Answer:
0.5 kg = 500g. she will buy hook C
Item 7
Question 1
The volume of a rectangular prism is more than 140 cubic inches. The prism has a length of 7 inches and a width of 5 inches. Select an inequality that represents the height h (in inches) of the prism. Then graph the solution of the inequality.
7 × 5 × h > 140
35h ≥1 40
1/3 × 7 × 5× h ≥ 140
1/2 h(7+5)>140
Answer:
Bye bye
Step-by-step explanation:
karsynwhitaker
v = (l)(w)(h)
(7)(5)(h) > 140
Answer:
7 x 5 x h > 140
If f(6)=7, find f−1(7)
Help me with this pls thank you
Answer:
radius=1
Step-by-step explanation:
radius is half the diameter
what 2 fun facts did you learn about the inauguration
-19 < 5x + 6 < 26
can someone please help
Answer:
D
Step-by-step explanation:
The perimeter of parallelogram ABCD is 72cm. AD is 3cm more than twice AB. Find the lengths of all four sides of ABCD
Answer:
AB=11, DC=11, AD=25, BC=25
Step-by-step explanation:
Opposite sides of parallelograms are congruent.
x+x+2x+3+2x+3=72
6x+6=72
6x=66
x=11
2(11)+3 = 25
Y=x. Given A(7,-4), B(6,4), and C(-1,-5), what are the coordinates of the vertices of A’B’C for the reflection
Answer:
The coordinates of the vertices of A'B'C' is:
A'(-4, 7)B'(4, 6)C'(-5, -1)Step-by-step explanation:
Given the coordinates of the triangle
A(7,-4)B(6,4)C(-1,-5)Reflection in the line y=x
We know that the rule of reflection in the line is y = x is:
(x, y) → (y, x)
Thus,
The coordinates of the vertices of A'B'C' for the reflection in the y = x
(x, y) → (y, x)
A(7, -4) → A'(-4, 7)
B(6, 4) → B'(4, 6)
C(-1, -5) → C'(-5, -1)
Thus, the coordinates of the vertices of A'B'C' is:
A'(-4, 7)B'(4, 6)C'(-5, -1)If you were given four DNA sequences how would you know if a mutation has occurred?
ITS ACUALLY BIOLOGY PLEASE HELP ASAP ILL GIVE BRAINIEST
Answer:
Step-by-step explanation:
To know if a mutation has occurred, compare DNA base sequences with members of the species. To identify a chromosomal mutation, you could examine some karyotypes.
Mike earns $70 per day. He received a 25% increase in pay. How much money is Mike now making per day?
7x + 8 > 4x + 4
Give your answer as an improper fraction in its simplest form.
Answer:
hope this is helpful to you
HELP ASAP PLEASE
Find the value of the function sin 120°.
a. 0.866025403784
b. 0.580611184212
C. 0
d. 0.008333236883
Answer:
a
Step-by-step explanation:
Angel and Jayden were at track practice. The track is 2/5 kilometers around. Angel ran 1 lap in 2 minutes. Jayden ran 3 laps in 5 minutes. How far does Jayden run in one minute?
Answer:
6/25 km in 1 min; or 0.24 km/min
Step-by-step explanation:
The info about Angel is not necessary.
Jayden runs 3 laps in 5 mins
Each lap is 2/5 km, so Jayden runs 3 x (2/5 km) in 5 min = 6/5 km in 5 min.
Distance = rate x time
6/5 km = rate (5 min)
We want to isolate r (rate), so divide both sides by 5 min
6/5 km ÷ 5 min = r
6/5 km (1/5 min) = r
6/25 km/min = r (notice how the units worked out correctly to km/min)
So, Jayden runs 6/25 km in 1 min.
Answer:
6/25 miles km in a minute
Step-by-step explanation:
people say I'm dirty-minded but I have a license to be
Answer:
XD
Step-by-step explanation:
Yo I have that to:D being dirty the best.
Find the value of g (7) for the function below.
Answer:
B. 45/8
Step-by-step explanation:
[tex]g(7)=\frac{7}{8}(7)-\frac{1}{2}[/tex]
[tex]g(7)=\frac{49-4}{8}[/tex]
[tex]g(7)=\frac{45}{8}[/tex]
Which graph represents this system?
y = 3
X+ y = 4
18
6
6
5
2
23
4 5 6
1
g
92
Mark this and return
if point P with coordinates (a,b) is reflected in the line y=x, what are the coordinates of this image of P?
Answer:
(b,a)
Step-by-step explanation:
hard to explain, just memorize that
The price to mail a letter at the post office is $0.35 for the first ounce and $0.17 for each additional ounce. Amrit paid $2.05 to mail his letter. How much did the letter weigh?
BRAINLIEST IF RIGHT If m∠BFG=(2x+146)∘, and m∠BCG=(4x+238)∘, what is the value of x? HELP!
Answer:
-34
Step-by-step explanation:
The value of x from the figure is -46.
What is a parallelogram?Parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
From the figure,
BCFG is a parallelogram,
So,
m∠BFG = m∠BCG
Now,
2x + 146 = 4x + 238
4x - 2x = 146 - 238
2x = -92
x = -46
Thus,
The value of x is -46.
Learn more about parallelograms here:
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A computer store bought a program at a cost of $10 and sold it at a selling price of $11. Find the percent markup.
