Answers
The value of x is approximately (7√3) / 3.
Given that a right triangle with base = x and the perpendicular side = 7 and the reference angle is 60°, we need to find the value of x.
To find the value of x in a right triangle with a base of x and a perpendicular side of 7, and with a reference angle of 60 degrees, we can use the tangent function.
The tangent of an angle is defined as the ratio of the length of the side opposite the angle (in this case, 7) to the length of the side adjacent to the angle (in this case, x). So we have:
tan(60°) = 7 / x
Now, we can solve for x by multiplying both sides of the equation by x:
xtan(60°) = 7
To find the value of x, we need to know the value of tan(60°). The tangent of 60 degrees is √3. So we have:
x√3 = 7
To isolate x, we divide both sides of the equation by √3:
x = 7 / √3
To simplify the expression, we multiply both the numerator and the denominator by √3:
x = (7 / √3)(√3 / √3)
= (7√3) / 3
Therefore, the value of x is approximately (7√3) / 3.
Learn more about tangent functions click;
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Related Questions
Joel Bradley purchased a new cooler for his florist shop for $4,500. He wants to finance it with an installment loan from his bank. If he wants to finance only $2,800, what percent of the total cost should his down payment be?
Answers
Answer:
62.22% I think.
Step-by-step explanation:
Have a good day.
On Robert’s shelf are 6 mystery books, 2 science fiction books, 3 adventure books, & 4 history books. Robert will randomly choose 1 book to read, not put it back and then grab another book to read. What is the probability that he chooses an adventure book and then a history book?
Answers
Answer:
2/35
Step-by-step explanation:
total of 15 books
P(Adv,Hist) = 3/15 · 4/14 = 1/5 · 2/7 = 2/35
help me please how do i do this
Answers
Answer:
41 degrees
Step-by-step explanation:
In a parallelogram, opposite angles are equal, so:
[tex]3x+11=5x-9\\-2x = -20\\x=10\\\\E = 3x + 11\\E = 3 * 10 + 11\\E = 30 + 11\\E = 41[/tex]
HELP ASAP 10) Determine the volume; just answer without the units
B
9.5 in.
3.75 in.
8 in.
Answers
Answer:
Volume is 285
Step-by-step explanation:
We start by calculating the area of the base
Mathematically, we have a rectangle as the base
So, the area of the base will be;
3.75 * 8 = 30
We now multiply this by the height to get the volume
we have this as:
30 * 9.5 = 285
What is the slope of the line l ? (-2,9) (6,1)
Answers
explanation: -2-9/6-1 =-11/5
Find x, the angle of depression from the top of a lighthouse that is 199 ft above water level to the waterline of a ship 1104 ft off shore. Round your answer to the nearest tenth of a degree.
Answers
Answer:
10.2°
Step-by-step explanation:
I'm not sure if my answer is correct and I'm not too good at explaining but I'll try.
The height of the triangle would be 199 ft and it's length would be 1104 ft. Since were looking for the angle of depression, the angle would obviously be outside of our triangle (as shown in the picture). The height and length wouldn't change at all so we can just label the imaginary lines with their corresponding measurements.
The angle that we're looking for is marked in the picture. Since we are given the opposite and the adjacent side, we can use the inverse of tan to figure out our angle, which is 10.2°.
You can also use the "Z" rule and our angle would be where it's shown in the third picture. Nothing would change because our opposite side would still be 199 ft and our adjacent side would still be 1104 ft.
The measure of the sides of a triangle are 43, 72, and 91. Use the Pythagorean theorem to classify the triangles as acute, obtuse or right.
Answers
Answer:
i tjink its obtuse im not quite sure though im so sorty if its wrong.
Find the expression that represents the sum of 2i3+5i2-6i and 2i2-3i+8.
Answers
Dry-by-step explanation:
Kznyuszc kubysadnuailsdaieubvaeryulbvaulybeffn
Ioaer
Tia cut 4-meter 8-cenimeter wire into 10 equal pieces. Martha cut a 540-centimeter wire into 9 equal pieces. How much longer is one of Marta's wires than one of Tia's?
Answers
Answer: 19.2 cm
Step-by-step explanation:
A meter is equal to 100 centimetres so the total length of Tia's wire in centimetres is:
= 4.08 * 100
= 408 cm
She cuts this into 10 equal pieces:
= 408 / 10
= 40.8 cm
Martha cuts her 540 cm wire into 9 pieces. Each piece is:
= 540 / 9
= 60 cm each
The difference is:
= 60 - 40.8
= 19.2 cm
What is the circumference of the following circle?
diameter=9cm
Answers
Answer:
The circumference of the following circle is 9π (around 28.274)
Step-by-step explanation:
The circumference can be found by using the following formula, where d is the diameter of the circle...
dπ = 9π ≈ 28.274
Finding which number supports the idea that the rational numbers are dense in the real numbers?
Answers
Answer:
an integer between –11 and –10
a whole number between 1 and 2
a terminating decimal between –3.14 and –3.15
Step-by-step explanation:
PLz help I will give brainliest!!!!! and extra points
Answers
Hey there!
The answer to your question is [tex]95.55[/tex]
Formulas:
Area of semi-circle = [tex]\frac{1}{2}(\pi r^2)[/tex]
Area of rectangle = [tex]lw[/tex]
Area of triangle = [tex]\frac{bh}{2}[/tex]
Now solve:
semi-circle
[tex]\frac{1}{2}\pi3^2[/tex]
[tex]\frac{1}{2}\pi9[/tex]
[tex]4.5\pi[/tex]
(We will use 3.14 as approx. for pi)
[tex]4.5 * 3.14\\23.55[/tex]
rectangle
[tex]10(6)\\60[/tex]
triangle
[tex]\frac{4(6)}{2}[/tex]
[tex]\frac{24}{2} \\12[/tex]
Now add them all together:
[tex]23.55+60+12\\95.55[/tex]
Have a terrificly amazing day!
Dustin Ambrose is married and claims 3 allowances. His gross weekly pay is $628.00. Each week he pays federal, Social Security, and Medicare taxes, $52.00 for medical insurance, and $23.50 toward his retirement fund.
Answers
Answer:
еиниемксцчуиетнмкчеимусцсуиеи
Bryce and two of his friends went to eat at Texas Roadhouse. They split the bill evenly between them. Bryce share was $14.85. Write and solve an equation to find the total,t, of the bill .( please help asap and show all your work please)
Answers
As there are three people in total, the number of total shares is 3.
Let 1 share = x = $14.85
t = 3x
t = 3 (14.85)
= $44.55
Hope this helps!
The total cost of a vase of spring flowers at a flower shop depends on the number of flowers ordered. Each flower costs $2.50. Which equation represents the relationship between the total cost, y, to the number of flowers, x?
Answers
Answer:
D. y=2.50x
Step-by-step explanation:
Since the equation asks for the total cost of a vase of flowers (y) that goes on the left side. Each flower costs 2.50 and the flower shop depends on the number of flowers ordered, which makes it a variable. Therefore C is wrong because it has 2.50 as a constant.
The ending equation will be y = 2.50x
Written in context this means that the total cost of a vase of flowers is equal to the cost of each flower (2.50) by how many flowers are ordered.
I hope this helps!!
- Kay :)
I bought 500 pieces of candy. If 42% of the candy was eaten. How many pieces
were ate?
Answers
Answer: 210
Step-by-step explanation:
42% is equal to the fraction 42/100.
We can multiply 42/100 by 500 to find how much candy was eaten.
42/100 x 500 = 210.
Therefore, 210 pieces of candy were eaten. Hope this helps and good luck!
Answer:
210
Step-by-step explanation:
500 - 42%= 290
500 - 290 = 210
210 = Answer
Solve for x
[tex]\frac{x}{7}[/tex] − [tex]\frac{x}{9}[/tex] =−1
Answers
Answer:
[tex]x = \frac{ - 63}{2} \: or \: - 31.5[/tex]
Step-by-step explanation:
[tex] \frac{x}{7} - \frac{x}{9} = - 1[/tex]
Lets take the L.C.M of 7 & 9.
L.C.M of 7 & 9 = 63
[tex] = > \frac{9x - 7x}{63} = - 1[/tex]
[tex] = > \frac{2x}{ 63} = - 1[/tex]
Now lets multiply 63 on both the sides.
[tex] = > \frac{2x}{ 63} \times 63 = (- 1) \times 63[/tex]
[tex] = > 2x = - 63[/tex]
Now lets divide both the sides by 2.
[tex] = > \frac{2x}{2} = \frac{ - 63}{2} [/tex]
[tex] = > x = \frac{ - 63}{2} = - 31.5[/tex]
I’m confused on my math someone help
Okay so we’re trying to find out if they are true or false I guess so the first question is HELP MEEE
Answers
Answer:
False, True, True are thr answers
2/3*9 is 6 which is not greater than 8
True
-3-1 equals -4 so -4 is less than or equal to -4
True 6*4 is 24 so 48-24 is 24 and 24 is greater than 20
the nth term of 17,29,41,53,65
Answers
Answer:
12n+5
Step-by-step explanation:
The difference is 12 so that means n is 12 and the +5 is what the number in the sequence is before 17
peter weighs 8kg heavier than Ailen.If 5/7 of Peter weight is 35kg,what is their total weight?
Answers
5/7 = 35 kg
1/7 = 7 kg
Peter weighs 49 kg
49 - 8 = 41 kg
Ailen weighs 41 kg
49 + 41 = 90kg
Their total weight is 90 kg
90 kg
Step-by-step explanation:
P= 8+x
A=x
5/7 of _=35kg= 49- Peter
49-8=41-Alien
49+41= 90kg
i need someone thats good at math pls help me i dont have the dot plot but i need the mena answer the median sentence and median answer pls
Answers
Answer:
to work out the median you put the numbers in ascending order and then cross one number from the left and right side one at a time until you reach the middle, if you have lots of numbers then add one to the number of items in the data and divide by two.The label on a 1.25 pound bag of wildflower seeds states that it will cover an area of 280 square feet. Based on this information, what is the number of square feet that 1 pound of wildflower seeds will cover?
Answers
Answer:
1 pound of sunflower seeds will cover about 187 square feet of land
Step-by-step explanation:
To solve this problem, we will have to assume that there is a linear relationship between the net weight of the wildflower seeds and the area of land it can cover when planted.
Based on this assumption, we can find the number of square feet that a 1 pound bag will cover, by setting up a simple relationship as shown below:
if 1.5 pounds covers 280 square feet
1 pound will cover x square feet.
by cross multiplying, we have that
x = (280 X 1) / 1.5 = 186.66 square feet.
Therefore, 1 pound of sunflower seeds will cover about 187 square feet of land
Solve the system by substitution.
y =
-4x
y = x - 5
Answers
Answer:
x=-1
Step-by-step explanation:
thanks I'm done pls
Answer: 1,-4
Step-by-step explanation: I noticed there are no steps for this one so I will go ahead and put them.
-4x+x=x-5+-x
combine:
-5x/5=-5/-5
x=1
Substitute:
y=-4x(1)
y=-4
so we get 1,-4
We have 6 face red cards (JQK x 2) and 16 black cards, so a total of 22 cards.The red face cards and the black cards numbered 2-9 are put into a bag. Four cardsare drawn at random without replacement. Find the following probabilities:
a) All 4 cards are red
b) 2 cards are red and two cards are black
c) At least one of the red cards is red.
d) All four cards are black
Answers
Answer:
I dont know
Step-by-step explanation:
only doing it for points
What is the missing value of 5x-2y=30 (8,)
Answers
Answer:
In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).
PLEASE HELP THIS IS DUE TODAY!!
Answers
Answer:
254 in
Step-by-step explanation:
1 yard = 36 in
7 yards = 36 (7)
7 yards = 252
add 2
254 in
:)
Answer: 254 inches
Step-by-step explanation:
1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches
I need help with this question
Answers
Answer:
it's 324
Step-by-step explanation:
divide 72 by 4 to get one side, then multiply the side by itself, 18 times 18
find the 41st term of the arithmetic sequence
87, 89, 91
Answers
Answer:
167
Step-by-step explanation:
Its simple
Factoriza el siguiente trinomio 6x^2 – 26x – 200
Answers
Answer:
2 (x + 4)(3x - 25)
Step-by-step explanation:
[tex]6 {x}^{2} - 26x - 200[/tex]
[tex]3 {x}^{2} - 13x - 100[/tex]
[tex]2 (x + 4)(3x - 25)[/tex]
6) Two boats set off from X at the same
time (below). Boat A sets off on a bearing of 325° and with a velocity of
14 km/h. Boat B sets off on a bearing of 2350 with a velocity of 18 km/h.
Calculate the distance between the boats after they have been travelling
for 2.5 hours. Give your answer to the nearest metre.
A
N
X Х
B
Answers
Answer:
The distance between the two boats after 2.5 hours is 57 m.
Step-by-step explanation:
The distance covered by each boat after 2.5 hours are:
speed = [tex]\frac{distance}{time}[/tex]
distance = speed x time
For boat A, speed = 14 km/h and time = 2.5 hrs.
So that,
distance = 14 x 2.5
= 35 km
For boat B, speed = 18 km/h and time = 2.5 hrs.
So that,
distance = 18 x 2.5
= 45 km
The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:
[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A
[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]
= 2025 + 1225 - 3150 (0)
= 3250
x = [tex]\sqrt{3250}[/tex]
= 57.0088
x = 57.0 m
The distance between the two boats after 2.5 hours is 57 m.