The height of the radio station antenna is approximately 116 feet to the nearest foot.
From the diagram in the attached image
[tex]h=\text{the height of the radio station antenna}\\x=\text{the distance from the foot of the radio station antenna to where the man stood at first}[/tex]
we now have the following relationships
[tex]tan64^\circ=\frac{h}{x}\\\\\implies x=\frac{h}{tan64^\circ}[/tex]
and
[tex]tan43^\circ=\frac{h}{68+x}\\\\\implies x=\frac{h}{tan43^\circ}-68[/tex]
we can equate the two relationships to eliminate [tex]x[/tex].
[tex]\frac{h}{tan64^\circ}=\frac{h}{tan43^\circ}-68[/tex]
solving for the height of the radio station antenna, [tex]h[/tex], we get
[tex]h=\frac{68\times tan43^\circ \times tan64^\circ}{tan64^\circ -tan43^\circ}\approx 116ft\text{ (to the nearest foot)}[/tex]
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Im confused on this. Michael has some coins in his pocket consisting of dimes, nickels, and pennies. He has two more nickels than dimes, and three times as many pennies as nickels. How many of each kind of coin does he have if the total value is $0.52?
Answer:
Using a system of equations, it is found that he has 2 dimes, 5 nickels and 12 pennies.
In the system of equations, I am going to say that:
x is the number of dimes.
y is the number of nickels.
z is the number of pennies.
---------------------
Two more nickels than dimes, thus:
Three times as many pennies as nickels, thus:
---------------------
A dime is worth $0.1, a nickel is worth $0.05, and a penny is worth $0.01. Total of $0.52, thus:
Solving for x:
---------------------
Solving for y and z:
He has 2 dimes, 5 nickels and 12 pennies.
Evaluate.
-|4ab- cl for a = -6, b = 3, and c = 2
A -74
B -70
C 70
74
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{-|4ab - c|}}\\\large\boxed{\mathsf{= - |4(-6)(3) - 2|}}\\\large\boxed{\mathsf{= -|(-24)(3) - 2|}}\\\large\boxed{\mathsf{= -|-72 - 2|}}\\\large\boxed{\mathsf{= - |-74|}}\\\large\boxed{\mathsf{= |-74|}}\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A. -74}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\large\boxed{\heartsuit\ \frak{Amphitrite1040:)\ }\heartsuit}[/tex]stteps for solving 6(4x-3) are shown
which of these is not a part of the solution prosess
Answer:2 4 − 1 8
Step-by-step explanation:
Diagram 5 shows a triangle ABD such that AD = 17 cm, AB = 10 cm and BD = 21 cm. The straight line AC is perpendicular to the straight line BD and the value of area of triangle ABD is an integer. Calculate the length of AC, in cm. (4 marks)
Answer:
8
Step-by-step explanation:
100 = x^2 + AC^2
17^2 = AC^2 + (21 - x)^2
289 = AC^2 + 21^2 + x^2 - 2*21*x
289 = AC^2 + 441 + x^2 - 42x
from 1st equation AC^2 + x^2 = 100
289 = 441 + 100 - 42x
289 = 541 - 42x
42x = 541 - 289 = 252
x = 252/42 = 6
so AC^2 = 100 - 6^2 = 100 - 36 = 64
AC = 8
Translate the following phrase into an inequality:
"A number n minus 3.5 is less than or equal to 4."
PLEASE HELP I HAVE 6 MATH MISSING ASSIGNMENTS, I HATE HIGH SCHOOL
Answer:
The term "at least" means the lowest number you can have. In other words, you cannot have a number less than that point. So we use the greater than or equal symbol.
x - 3 ≥ - 5
Add 3 on both sides of the inequality.
x ≥ -2
x is any number greater than or equal to -2.
If the term was "at most", then that is the highest number you can have, and you can go no higher than that. In this case, we would have used the less than or equal to symbol.
These terms are important to understand when working with inequalities.
The value of the inequality form of the phrase "A number n minus 3.5 is less than or equal to 4." is (n - 3.5) ≤ 4 .
Used the concept of inequality that states,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that;
The phrase is,
"A number n minus 3.5 is less than or equal to 4."
Now it can be written in inequality form as,
(n - 3.5) ≤ 4
Therefore, the inequality is,
(n - 3.5) ≤ 4
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Petra and Robyn work part-time on weekends. The ratio of Petra's wage to
Robyn’s is 4 : 3. If they earn $210 between them, how much does each of them take
home
Step-by-step explanation:
4 + 3 = 7
petra robyn total
210 / 7 =30
wage total
ratio
30× 4 = $120
Petra's part
30× 3 = $90
Robyn’s part
Fully Factorise : 8x^2+6x
Answer:
2(4+3) or undefined
Step-by-step explanation:
lmk if this helped
How does simple
interest show proportional reasoning and
relate to the percent equation?
Answer:
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Step-by-step explanation:
please help me out yall!!
Answer:
c
Step-by-step explanation:
rewrite the expression as a single fraction 3/8 + 1/8
Answer:
Step-by-step explanation:
3/8+ 1/8 = 4/8
2. What is the exchange rate? Show your work. 1 US dollar = ___________ euro
help pls :(
Answer:
.88 Euro
Step-by-step explanation:
One U.S. dollar is equivalent to .88 Euro. Have a nice day!
PLEASE I NEED HELP!! Due TODAY!!!!! I need someone who is actually good at this!!
Answer:
#8= B
#6= C
#7= D
#9= C
#10= A
Step-by-step explanation:
[First one, aka #8] c
- subtract 7x from both sides
- divide by 5
- slope is m is y = mx + b
[Second one, aka #7] is d
- subtract 2x from both sides
- divide by 5
- find the negative reciprocal
[Third one, aka #6] is c
- will have a slope of 2 since it is parallel
- plug the point into y = 2x + b and solve for b
[Fourth one, aka #9] is a
- change in d over change in c
- 29 - 20 / 6 - 0 = 9/6 = 3/2
[Fifth one, aka #10] is b
- I created the system:
2h + m = 2.85
3h + 2m = 4.45
- Because he had two hotdogs (2h) and one milk (m), and then 3 hotdogs (3h) and 2 milk (2m) so option b matches the best
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
HELP WOULD BE APPRECIATED
Answer:
For the second one would be 36°
The price of a cinnamon roll is $2.00. The bakery has a sale, and all prices are 10% off. What is the sale price of the cinnamon roll
Answer: $1.80
Step-by-step explanation:
10% is 1/10. To find 1/10 of $2 we must divide it by the bottom of the fraction and times the top. 200 divided by 10 is 20 cents, times that by 1 is still 20 so, 10% = 20 cents. To find the sale price, we must subtract the discount from the original price. $2 - 20 cents is $1.80.
What is the slope of the equation Y= 5/4 x - 7/4?
a. -7
b. -7/4
c. 5/4
d. 5
Answer:
a
Step-by-step explanation:
Answer: c
Step-by-step explanation:
The area of the pilgrims cornfield is 6,396 square feet. The width of the cornfield is 52 feed. What is the length of the cornfield? Show your work
Based on the area of the field and the width as well, the length is most likely 123 feet.
The area of the cornfield is calculated as:
= Length x Width
You have the width so you can substitute it in the equation to find the length:
6,396 = Length x 52
Solving would give:
Length = 6,396 / 52
= 123 feet
In conclusion, the length is 123 feet.
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10000+2000003
ghsrhrs
- BRAINLIEST answerer
Answer: 2010003
Step-by-step explanation: because 10000+2000003= 2010003
what is the point slope equation of the line that passes through (9,-1) and has a slope of 5
Answer:
y=5x+46
Step-by-step explanation:
apply point
-1=5(9)+n
-1=45+n
n=-46
y=5x+46
Answer:
y + 1 = 5(x - 9)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = 5 and (a, b ) = (9, - 1 ) , then
y - (- 1) = 5(x - 9) , that is
y + 1 = 5(x - 9)
Show that x^2-8x+20 can be written in the form (x-a)^2+a where a is an integer
Step-by-step explanation:
Let's complete the square
x²-8x=-20
x²-8x+(-4)²=-20+(-4)²
x²+(-4)²=-20+16
(x-4)²=-4
(x-4)²+4
where a is an integer as required
Shane is an a baseball team. He averages 6 hits in 30 times at bat. How many hits should you expect him to have after 180 times at bat
How much money should Annika give Susan?
Answer:
it depends on how much Annika has and if she is willing to give Susan money
Step-by-step explanation:
I could have answered properly but i do not understand the question it just states that, look below
How much money should Annika give Susan?
-14 + -8/9 is equivalent to?
The mean test scores with standard deviations of four English classes are given below. Class Mean Standard Deviation Mrs. Jones 89 1. 9 Mrs. Rijo 82 1. 4 Mr. Phan 73 3. 4 Mrs. Scott 90 6. 1 Which statement is most likely to be true? The scores of Mrs. Scott’s class are the closest to the class mean. The scores of Mr. Phan’s class are the closest to the class mean. The scores of Mrs. Jones’s class are the closest to the class mean. The scores of Mrs. Rijo’s class are the closest to the class mean.
Answer:
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
The scores from Mrs. Rijo’s class are the closest to the class mean.
whats the answer (10 points)
Answer:
x=79 degrees y=22degrees
Step-by-step explanation:
you see it has 2 equal sides, so the triangle is an isosceles triangle. If the triangle is isosceles, then its 2 base angles are equal, that is, x = 79 according to the triangle property, the 3 angles add up to 180 degrees, so you take 180 degrees minus 2 * 79 degrees you get a y angle equal to 22 degrees
If the Diameter is 10 of a circle then what is the radius.
Answer:
5
Reasoning
[tex]Diameter=2*radius[/tex]
Answer:
5
Step-by-step explanation:
the radius is always half of the diameter
plzzzz help me!!!
Plz don't steal my points or add a link
Answer: What do you mean? if you till me i can help you
Step-by-step explanation:
Someone tell me what this is plz
Answer:
This is an equilateral triangle, which means all the sides are equal.
Hence, all three angles are the same.
[tex]3x=\frac{180}{3}[/tex]
[tex]3x=60[/tex]
Therefore,
[tex]x=20[/tex]
Answer:
20
Step-by-step explanation:
3x+3x+60= 180
6x= 180-60
6x= 120
please help me
the denominator only
Answer:
6/51/33/1013/549/201/15Step-by-step explanation:
You cannot subtract JUST a denominator. The subtraction sign is lower down because of the odd printing just like the equal signs.
1. The first thing you have to do is change this from a mixed fraction into an improper fraction in order to subtract. This becomes:
12/5 -6/5 (This is done by multiplying the large number by the denominator and adding it to the exsisiting numerator)12-6=6 therefore the answer is 6/52. This one requires you to multiply your denominator so that it is the same for both fractions. The least common denominator (LCD) for these fractions is 12
7/12-1/4(3) (Because 3x4 is 12 which is the LCD)7/12-3/12 = 4/12 (this can be simplified)1/33. This is fairly straight-forward the denominators already match so just subtract the numerators
6/10-3/10= 3/104. Because we have a full number we must make it into a fraction in order to subtract it and also turn the mixed fraction into an improper fraction
We'll start with the mixed because we've done that before multiplying 4 by 5. Add to that 20 the 2 from the original fraction to get 22/ 5For the full number use the denominator of the number to determine the fraction. Multiply the full number by the denominator (5) to get 35 and place a 5 underneath and call it a day.Therefore: 35/5-22/5=13/55. This problem requires multiple steps the first would be to make improper fractions then get a LCD and then of course subtract.
(6x8)+2=48+2=50 --> 50/8(5x3)+4=15+4=19 --> 19/5LCD 5:5,15,20,25,30,40 & LCD 8: 8,16,24,32,40 LCD=40(50/8)x5-(19/5)x8 = 250/40-152/40 = 98/40 This can be simplified49/206. For this we will use another LCD.
LCD 3: 3,6,9,12,15 LCD 5: 5,10,15 LCD=15(2/3)x5-(3/5)x3 = 10/15-9/15 = 1/15m divided 6 when m=48
[tex]\dfrac m 6 = \dfrac{48}6 = \dfrac{ 8 \times 6}6 = 8[/tex]
help me please I don't wanna fail his