A support wire is attached to the top of an antenna. The support wire connects
to the ground 15 feet from the bottom of the antenna. The support wire and the
ground meet at an angle with measure 70°, as shown.
Antenna
70°
15 ft-
To the nearest foot, what is the height of the antenna?
The antenna is
feet tall.
Answer:
Step-by-step explanation:
The antenna height is 41.23 feet if the support wire is attached to the top of the antenna.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
A support wire is attached to the top of an antenna. The support wire connects to the ground 15 feet from the bottom of the antenna.
Let x be the height of the antenna.
We can find the length of the antenna using the trigonometric ratios:
As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Applying tan ratio in the right angle triangle:
tan70 = x/15
x =15tan70
x = 41.212 feet ≈ 41.23 feet
Thus, the height of the antenna is 41.23 feet if the support wire is attached to the top of the antenna.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ5
Can someone help with this plz Its brining down my grade
- Sketch the solution to each system of inequalities.
Miss Laura by 12 pounds and 8 ounces of flour she used 4 ounces of flour in each batch of sugar cookies how many batches of sugar cookies did she make
Answer:
50
Step-by-step explanation:
so if 16 ounces are in each pound
lets multiply 12 x 16 = 192
now we have the pounds out add the leftover ounces
192 + 8 = 200
now that we can divide, but wait there is more to make its easier!
if 4 x 5 = 20
and 4 x 100 = 400
lets do 4 x 50 = 200
so now that 4 x 50 = 200
Miss Laura can make 50 batches of cookies.
why are these math questions so weird for elementary schoolers?
Need math help plzzzz neddd helps no links or imma report u 20 points plzz helps
Answer:
9
Keep the value of k as 9 then multiply it with the numbers in the brackets and then arrange the like terms and see yourself.
100 points HELP ASAP!!!!!
This question has two parts. First, answer part A. Then, answer part B. ill put story at bottom
Part A
What is the purpose of the first paragraph of the article?
A.
to tell where the Eiffel Tower and Hoover Dam are located
B.
to show just how different the Eiffel Tower and Hoover Dam are
C.
to explain what is meant by the phrase “marvels of engineering”
D.
to describe how one type of material was used to make different structures
Part B
Which detail from the text best supports your answer in part A?
A.
“It’s hard to imagine two more different structures . . .”
B.
“Everyone expected it to remain in place for many, many years.”
C.
“Each piece had to be the right size and shape.”
D.
“Teams of people worked to take out the bolts and put in the rivets.”
MARVELS OF ENGINERING
It’s hard to imagine two more different structures than the Eiffel Tower and Hoover Dam. For one thing, the Eiffel Tower is in Paris, France, and Hoover Dam is on the border between Nevada and Arizona. The Eiffel Tower is elegant and delicate looking, but Hoover Dam looks like a huge slab of concrete. The Eiffel Tower was made of many parts put together. But the concrete for Hoover Dam was poured at the site. The Eiffel Tower was built for a fair and was not intended to remain in place for long. Hoover Dam was built to allow water to be used in desert country and to create electricity. Everyone expected it to remain in place for many, many years.
Even though these two structures are so different, there are similarities. Each required great effort to complete. Each also necessitated the involvement of many workers. The workers on each faced many challenges and difficulties, and each was built in a series of steps. Each is huge but was built quickly, considering the amount of labor involved.
All of the Eiffel Tower’s parts were made in a factory near Paris. Each piece had to be the right size and shape. Smaller parts were put together and then joined to form a larger piece. These large pieces were put together at the site of the tower. Bolts held together the pieces made at the factory. At the tower, these bolts were pulled out and replaced with hot rivets. Teams of people worked to take out the bolts and put in the rivets.
Hoover Dam was built to replace one that had been washed away, but it was built in a new place. Four tunnels were blasted through rock to cause the Colorado River to flow in new directions. Then the river’s canyon walls had to be cleared. From great heights, workers dangled from ropes. With only air below their feet, they prepared the area for great concrete walls. Far underneath them, the area for the foundation was cleared of mud and loose rock. When this was finished, tons of wet concrete were poured into a gigantic form. For thirty months, concrete was poured until the work was done. Across the Colorado River stood a dam 700 feet tall. When the water was allowed to rush through tunnels, it passed through giant rotary engines, and as their parts whirled, they created electricity.
Making electricity and using water to irrigate dry land were both practical purposes for Hoover Dam. But the Eiffel Tower had no original purpose but to be beautiful. The man who designed it, Gustave Eiffel, looked for a practical use for it. The tower was more than a thousand feet tall, and it was a perfect place for a radio antenna. So, a radio station was built on the tower.
Both the Eiffel Tower and Hoover Dam are popular tourist attractions. Each is considered a marvelous example of engineering skill.
awnser for a: d
awnser for b: a
anything else ?
Please help! If you do you will get 'Brainliest'
Answer:
i believe B
Step-by-step explanation:
Simplify: 14 - ³√216
Answer:
8
Step-by-step explanation:
Simplify the expression.
please help me! Ten men and 15 women apply for a job. All are equally qualified and 4 applicants are selected at random for hiring. Find the probability, to the nearest thousandth, of hiring exactly 3 women. FYI: i don't want links at all.
Answer:
3,600
Step-by-step explanation:
15 equality of 4 applicants which is subductive to the inequality of quotients.. Simplified to 3,600
What is the IQR of:
44, 38, 51, 59, 53, 47, 52
i forget how to do iqr lol
Answer: 9
Step-by-step explanation:
One year, an estimated 598,000 sandhill cranes migrated in March. The next March, an estimated 660,000 sandhill cranes migrated. To the
nearest percent, what is the percent change in the number of migrating cranes from the first March to the next?
Answer:
10.3679%
rounded - 10% increase
Step-by-step explanation:
That's the closest I got
Pls help with number 2
brittany would be 10 years old because
if jazmine is 15 years older than alyssa than alyssa would be 20
and then alyssa is twice as old as brittany
so britany is 10 years old because 10x2=20
I NEED HELP ON THIS GEOMETRY QUESTION!!!
Answer:
a. 4
Step-by-step explanation:
Copy and paste this:
I now that the area is: A = b×h/2, so: 16 = (x+4)(x)/2
-> x²+4x-32=0 -> x= -8 and x=4
x = -8 is impossible, so x=4
Answer: A. 4
Step-by-step explanation:
The equation for the area of a triangle is height times( base divided by 2)
4 + 4 = 8
8/2 is 4
4 times 4 is 16
HELP WORTH 24 POINTS
ANSWER CHOICES
1: the same or diffrent
2: corresponding angles,
The complementary to a corresponding angle,
Best supplementary to a corresponding angle,
The vertical angle to a corresponding angle,
they are not corresponding in anyway
Answer: 1=same
Step-by-step explanation:1=because if you line them all up they are the same size and angle I don't know if this is correct though
SOMEONE PLZ HELP ME
In the following inequality, x ≥ −2, what type of circle would appear on the number line (open or closed circle) and in which direction would the arrow point on the number line(right or left)?
Also, what is a possible solution to x ≥ −2?
Please answer all of the questions in sentence form.
Answer:
this would be a closed circle all innequalities with a greater to or equal to or less than or equal to they will always be closed if it just says less than or greater than it will be open
Step-by-step explanation:
Answer:Closed Circle To the right
The function y = -16x2 + 1500 gives a parachute jumper's height y in feet
after "X" seconds for a jump from 1500 feet. How long is free fall if the
parachute opens at 1100 feet?
Answer:
Step-by-step explanation:
so the question is asking about the time from 1500 feet to 1100 feet. How long did they fall, w/o a parachute. aka "freefall" so, at 1500 feet the jumper is really at time zero. so, plug in to the formula
1100 = -16[tex]x^{2}[/tex] +1500
( x represents seconds so i'll change it to t so we know it's time )
1100 = -16[tex]t^{2}[/tex] + 1500
now we can solve for t , to see how long the jumper falls
-400 = - 16[tex]t^{2}[/tex] ( subtracting 1500 from both sides of equation )
25 = [tex]t^{2}[/tex] ( dividing both sides by -16 )
oh.. look at how nice that turns out.. :)
[tex]\sqrt{25}[/tex] = t ( take the square root on both sides )
5 = t
the jumper fell for 5 seconds to get to 1100 feet
un refresco tiene una concentración de 3.8 x 10-4 de iones H+. determina el valor de PH de ese refresco
Answer:
El pH del refresco es 3.42.
Step-by-step explanation:
Se puede calcular el pH del refresco usando la siguiente fórmula:
[tex]pH = -log([H^{+}])[/tex]
En donde:
[H⁺]: es la cocentración de los iones H⁺ de la solución
Entonces, el pH es:
[tex]pH = -log([H^{+}]) = -log(3.8\cdot 10^{-4}) = 3.42[/tex]
El resutlado obtenido nos permite concluir que ese refresco es ácido.
Por lo tanto, el pH del refresco es 3.42.
Espero que te sea de utilidad!
Usando su fórmula, se encuentra que el valor de PH de ese refresco es dado por 3.42.
Cual es la fórmula para el valor de PH?Es dada por:
[tex]pH = -\log{H^{+}}[/tex]
Onde [tex]H^+[/tex] es la concentración.
En este problema, hay que la concentración es de [tex]H^+ = 3.8 \times 10^{-4}[/tex], por eso:
[tex]pH = -\log{H^{+}}[/tex]
[tex]pH = -\log{3.8 \times 10^{-4}}[/tex]
[tex]pH = 3.42[/tex]
El valor de PH de ese refresco es dado por 3.42.
Puede-se aprender mas sobre el valor de PH en https://brainly.com/question/16146414
help in pic ANYONE??
Easy question and answer 15 points uh huh uh huh!!!
Answer: they are equal because the exponents are equal. Right there are in different order but they are still the same.
Step-by-step explanation:
Evaluate: 19 - 3k] = 3
Answer:
k = [tex]5\frac{1}{3} ,7\frac{1}{3}[/tex]
Step-by-step explanation:
|19 - 3k| = 3
-3k = 3 - 19
-3k = -16
k = 16/3
k = 5 1/3
-19 + 3k = 3
3k = 3 + 19
3k = 22
k = 22/3
k = 7 1/3
which is greater 4/8 or 2/4 ? i am stuck and this answer is on a test im doing
Answer:
they are both equal the are both half's
Step-by-step explanation:
2 is a half of 4 and 4 is a half of 8 so they both basically 1/2
can i have brainly
Answer:
They are equal!
Step-by-step explanation:
If you simplify 4/8 you would get 1/2, because 4 is half of 8. And if you look at 2/4 that simplifies to 1/2, because 2 is half of 4. I Hope This Helps :)
A factory manufactures 9 x 105 packs of gum each month. They send these out to 16 different distribution centers. If each distribution center gets the same number of packs, how many are sent to each center?
Answer: do you meant they produce 900 000 packs each month?
Then each distributor gets 900 000 /16= 56250 packs
help help help help help plsss
i need serious answer
DON'T WASTE MY PÓINTS~
DO NOT ANSWER IF YOU NOT KNOW~
Answer:
solution given:
B.
CE=2×2=4[base side is double to the line of mid point]AB=15/2=7.5[b is a mid point]m<AEC=75°[ corresponding angle]5.
given:
BD=x+1
CE=x+10
we have
2BD=CE
2(x+1)=x+10
2x+2=x+10
2x-x=10-2
x=8
3. The function f(x) = -3.5x + 45;
0
rectangle in terms of its width,
x. Find the area of the rectangle
when its width is 9.5 units.
Similar triangles (please explain how to do this)
Answer:
Step-by-step explanation:
A square piece of cloth must be cut to make a tablecloth. The area needed is 16x^2 – 24x + 9 square inches
Find the simplified expression for the side length of the cloth, then the simplified expression for the
perimeter of the cloth.
Answer:
16x-12
Step-by-step explanation:
4x-3 is one side
(4x-3)4 = 16x-12
5v + 15rv – 5v + vr
please help
Please help me.
find x and AC value
Answer:
x=7 and AC is 46
Step-by-step explanation:
hope it helps
BRAINLIEST please please helpp!! Brainliest for correct answer!!! Use the triangle formed by the vertices L(-3, 4), A(0, 5), and D(2, 1). L'A'D ' is a triangle formed by using the transformation rule (x, y) -> (-x, y).
A. what type of transformation is LAD -> L'A'D'?
B. Are LAD and L'A'D' congruent or similar?
Answer:A: reflection. B: congruent
Step-by-step explanation:(x, y) -> (-x, y) means that the triangle reflected from the (x, y) part of the graph to the (-x, y) part of the graph.
Plot the graph for the equation2y+6=0 , and then select the matching graph below.
Answer:
y = -3
Step-by-step explanation:
2y + 6 = 0
2y = -6
y = -3
Since it's just y = -3, there is NO SLOPE and it's just one straight line going horizontally.
So just pick the graph where it's a horizontal line that only goes through the y-axises of -3 (i.e (0, -3), (1, -3), and etc)
The 819 runners in a race are divided into 6 different groups as equally as possible. How many extra runners are in the last group
Answer:
3 runners will be in the last group
Step-by-step explanation:
So first you need to divide the 819 runners into 6 different groups. Once you do this... you get a total of 136. So there are 136 runners in each of the 6 groups. However, once you get to the end of the division problem, there is a remainder of 3. These three stand for the last 3 runners. Giving you your answer.
I hope this helps you!!!
