Answer:
VEFG4KLKB
Step-by-step explanation:
BLB
The length of the guy wire is approximately 74.7 feet, and the height of the antenna is approximately 72.2 feet.
Here, we have,
To find the length of the guy wire and the height of the antenna, we can use trigonometry and the concept of right triangles.
In this scenario, the guy wire represents the hypotenuse of a right triangle, and the height of the antenna represents one of the legs of the triangle.
The angle of elevation formed by the guy wire is given as 79 degrees.
Let's denote the length of the guy wire as h and the height of the antenna as a.
Using the trigonometric function sine (sin), we can relate the angle of elevation and the sides of the triangle:
sin(angle) = opposite/hypotenuse.
In this case, the opposite side is the height of the antenna (a), and the hypotenuse is the length of the guy wire (h).
sin(79°) = a/h.
To solve for h, we can rearrange the equation as:
h = a / sin(79°).
We also have another relationship between the sides of the triangle.
The base of the right triangle is given as 15 feet, and the height of the antenna is a.
Therefore, using the Pythagorean theorem, we have:
h² = a² + 15².
Now we can substitute the expression for h from the first equation into the second equation:
(a / sin(79°))² = a² + 15².
Expanding and simplifying, we get:
a² / sin²(79°) = a² + 225.
Multiplying both sides of the equation by sin²(79°), we have:
a² = sin²(79°) * (a² + 225).
Expanding again, we get:
a² = sin²(79°) * a² + 225 * sin²(79°).
Rearranging the equation, we have:
a² - sin²(79°) * a² = 225 * sin²(79°).
Factoring out a², we get:
(1 - sin²(79°)) * a² = 225 * sin²(79°).
Using the trigonometric identity sin²(θ) + cos²(θ) = 1,
we know that cos²(θ) = 1 - sin²(θ).
Therefore:
cos²(79°) * a² = 225 * sin²(79°).
Taking the square root of both sides, we have:
cos(79°) * a = 15 * sin(79°).
Simplifying, we get:
a = (15 * sin(79°)) / cos(79°).
Using a calculator or software, we find:
a ≈ 72.2 feet (rounded to one decimal place).
Now, to find the length of the guy wire (h), we can substitute the value of a into the first equation:
h = a / sin(79°).
Using a calculator or software, we find:
h ≈ 74.7 feet (rounded to one decimal place).
Therefore, the length of the guy wire is approximately 74.7 feet, and the height of the antenna is approximately 72.2 feet.
To learn more trigonometry click:
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A jar contains 21 brown and 19 blue marbles. A marble is drawn at random. What is the theoretical probability of drawing a blue marble? P(blue) = 63.3% P(blue) = 47.5% P(blue) = 2.5% P(blue) = 19% P(blue) = 52.5%
Answer:
The answer would be the 1st one.
Step-by-step explanation:
When you use a percentage calculator or look it up, you can shay 40 as a percent of 19 and the answer will be 47.5%. You could also divide and get your answer that way as well.
Hope that helps! If you get it wrong, please tell me so I could check my work. Have a great rest of your day :)!
Write 9 × 9 × 9 × 9 × 9 × 9 using an exponent. Level 1-2
is it correct
Answer:
9^6
Step-by-step explanation:
there are six nines so its 9^6
Write the equation of the circle graphed below.
Answer:
(x + 2)² + (y + 2)² = 0.75²
Step-by-step explanation:
Standard form
(x - h)² + (y - k)² = r²
the center is (h, k) = (-2, -2)
the radius is r = 0.75
(x + 2)² + (y + 2)² = 0.75²
Answer:
(x + 2)^2 + (y + 2)^2 = 0.5625
Step-by-step explanation:
By looking at the graph, we can see the center of the circle is (-2, -2) and by counting the squares, the radius is 0.75.
The standard form of a circle equation is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
We can substitute our values in to get:
(x + 2)^2 + (y + 2)^2 = 0.5625
PLS HELPP
1.how many edges does it have?
2. how many vertices does it have?
Answer:
1. 8 edges
2. 8 vertices
Step-by-step explanation:
Answer:
the 3D image is a cuboid so no.of edges are 12 and no.of vertices are 8..
edges are the line segments and vertices are the corners...
Someone please help! No link answer please :(
Answer:
55 degrees (a)
Step-by-step explanation:
complementary means they equal 90 degrees
so 90-35= 55 degrees
what is the value of s?
Answer:
[tex]\huge{\boxed{\boxed{\tt { ✍ Answer :- }}}} \ [/tex]
Both the angles together form 90°
One angle = 29°
Other angle (s) = ?
[tex]s = 90 - 29 \\ s = 61[/tex]
✎ Value of s = 61°
1. How many total pumpkins are represented on the histogram? ___ pumpkins
2. How many pumpkins weighed less than 6 kilograms? ___ pumpkins
3. A typical weight of a pumpkin in this data set is ___ kilograms.
Answer:
1. 24 pumpkins in total.
2. 9 pumpkins
3. 9 kilograms
Anna spent 3/5 of her summer vacation as an intern and 1/4 of remainder visited Europe. If she still has 12 days left, how many days she spent for internship?
Answer:
Step-by-step explanation:
20 points!!
The equation y = x + 3 represents a linear function. Which ordered
pair does not lie on the graph of this function?
A) (-10, -7)
B) (13, 16)
C) (-14, -11)
D) (-20, 17)
Answer:
D) (-20, 17)
Step-by-step explanation:
y = x + 3 (substitute the numbers & check if the equation is still true)
-7 = -10 + 3 -> -7 = -7
16 = 13+3 -> 16 = 16
-11 = -14 + 3 -> -11 = -11
17 = -20 + 3 -> 17 = -17 (not true)
Help me pls thanks so much
Answer:
D) 49.1 in²
Step-by-step explanation:
area of entire cake = πr² = (3.14)(5²) = 78.5 in²
area of 5 slices = (78.5)(5/8) = 49.1 in²
Of the 650 student at westmoreland junior high, 80% will attend the field trip. How many student will attend the field trip?
Answer:
520 students will attend
Step-by-step explanation: sorry forgot to explain. An easy way to do it is to multiply the number your using (650) x the percentage (80%) here's an example: 60% of 1,005 multiply 60 x 1005 = 603
603 is 60% of 1005. ;D
Answer: 520
Step-by-step explanation: A way to find even percentages (10%, 20%, etc) is to take 10% of the original number, in this case, it would be 65, and then multiply it by the first number in the percentage. In this case, it would be;
65 x 8 = 520
Hope this helps!
The model represents an inequality. What is the solution set for this inequality? 4x+12≤-8
Answer:
4x+12<-8
4×<-8-12
4×<-20
×>-5
analyzing distance and time
Answer:
I don't no the answer sorry
Find the measure of angle θ, to the nearest tenth.
A)48.0o
B)42.0o
C)26.0o
D)52.6o
At $4.47 per hour, what is the least amount of full hours needed to work to earn at least $240?
Answer:
So first you would have to divide 240 and 4.47.Then that should be 53 hours or 54 hours.If you choose 54 hours the money in total would be at 241 ruffly.
Step-by-step explanation:
The two rational numbers lying between -2 and -5 with denominator 1 are ____ and _____.
A baker is making bread dough. He uses 3 cups of flour for every 8 ounces of water. How many cups of flour will he use if he uses 96 ounces of water? *
Answer:
36 cups of flour can be made.
Step-by-step explanation:
Find the midpoint of the line segment with the given endpoints. please help !!
Answer:
A. [tex] (-3, -2) [/tex]
Step-by-step explanation:
Given:
(4, -10) and (-10, 6)
Required:
Midpoint of the two endpoints
Solution:
Apply the midpoint formula,
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Where,
(4, -10) = (x_1, y_1)
(-10, 6) = (x_2, y_2)
Plug in the values
[tex] M(\frac{4 + (-10)}{2}, \frac{-10 + 6}{2}) [/tex]
[tex] M(\frac{-6}{2}, \frac{-4}{2}) [/tex]
[tex] M(-3, -2) [/tex]
Please help and explain, I’ll mark you as brainiest
HELP ME PLEASE!!! and can you explain ;) No links please
Answer:
(5x+2)(3x-1)-x^2+7x
15x^2-5x+6x-2
14x^2-6x-2
Step-by-step explanation:
just foil both and then subtract the smaller one from the other
What is the area of this figure? 6 m 14 m 4 m 20 m 4 m 12 m 6 m
Answer:
what figure
Step-by-step explanation:
Please answer !!!!
25 points
Answer:acd
Step-by-step explanation:yw
Which angle is supplementary to CFD?
Answer:
∠DFA or can be written as AFD : ( as long as the vertex F is in the middle)
Step-by-step explanation:
Supplementary angles are angles when added together form a straight line (180°)
CFD makes a small part of that straight line and DFA (AFD) make up the other part
4
Nina makes breakfast cereal.
She mixes nuts, raisins and oats in the ratio 3:2:5 by weight.
On Monday, Nina uses 60 grams of nuts.
Work out the weight of raisins and the weight of oats she uses to make the breakfast cereal.
(3 Points)
Answer:
40 for raisins
Step-by-step explanation:
3:2:5
60÷3=20 (60 comes from the nuts in the question÷3 in the ratio 3:2:5)
2×20=40
60:40:??
raisins has the weight of 40.
Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains.
If he has 9 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?
9514 1404 393
Answer:
90
Step-by-step explanation:
1 dekameter is 10 meters, so each of Glenn's 9 pieces of ribbon can be cut to make 10 1-meter pieces.
9 × 10 m = 90 m . . . . length of available ribbon
(90 m)/(1 m/piece) = 90 pieces
Glenn can cut 90 1-meter pieces from the ribbon he has.
Your dog is 8 years younger than your friend. In 2 years, your friend will be three times as old as your dog. How old is your dog now?
Answer:
Dog is 2 years old
Step-by-step explanation:
Let dog's age = d
Let friend's age = f
Your dog is 8 years younger than your friend:
d +8 = f
In 2 years, your friend will be three times as old as your dog:
3(d+2) = (f+2)
3d+6 = f+2
3d = f - 4
(sub in f=d+8 from above)
3d = f - 4
3d = d+8 - 4
2d = 4
d = 2
f(x) = 4x3 + 7x2 – 2x - 1
g(x) = 4x - 2
Find (f - g)(x).
A. (f - g)(x) = 4x3 + 7x2 – 62 – 3
B. (f - g)(x) = 4x3 + 7x2 - 6x +1
c. (f - g)(x) = 4x3 + 7x2 + 2x + 1
D. (f - g)(x) = 4.23 + 7x2 + 2x - 3
SUBMIT
Answer: The answer is B
Step-by-step explanation:
a classroom board is 30 inches wide and 20 inches tall. scott is putting ribbon along the outside edge of the board. how many inches will he need?
Answer: 100 inches
Step-by-step explanation: *warning* this is the way I do it. This might not be the best or easiest way, but it is an answer
30 inches wide
20 inches tall
30+30+20+20 = 100
you could also do 30*2 + 20*2
(QUICK RESPONSE!)
Under a dilation of the point P(12, 10) is P (6,5).Choose the general rule that describes the dilation mapping point P to point pl.
f Step-by-step explanatin
so you add the thing and you add this thing
stu pid i d i o t
Min mows lawns to earn money. The points in this
graph represent the total amount of money Min earns
based on the number of hours he mows
lawns.
Min wants to purchase a skateboard that costs
$54.
How many hours does Min need to mow lawns to earn
enough money to buy the skateboard?
A. 6 hours
B. 7 hours
C. 8 hours
D. 9 hours
Answer:
9
Step-by-step explanation:
if you can actually see the graph the numbers go up by six.
6, 12, 18 and so on all the way to 6 x 5 which is 30 on the chart then you visualize off of the chart trying 6x6 6x7 6x8 and 6x9 until you get the answer of 54 the money price.