Answer: 305 ft
Step-by-step explanation:
Given
[tex]\angle A=30^{\circ}[/tex]
[tex]\angle B=50^{\circ}[/tex]
[tex]c=600\ ft[/tex]
From the angle sum property of the triangle, we can write
[tex]\Rightarrow \angle A+\angle B+\angle C=180^{\circ}\\\Rightarrow \angle C=180^{\circ}-30^{\circ}-50^{\circ}\\\Rightarrow \angle C=100^{\circ}[/tex]
Now using Sine law i.e.
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
[tex]\Rightarrow \dfrac{a}{\sin 30^{\circ}}=\dfrac{600}{\sin 100^{\circ}}\\\\\Rightarrow a=600\times \dfrac{\sin 30^{\circ}}{\sin 100^{\circ}}=600\times 0.5077\\\\\Rightarrow a=304.62\ ft\approx 305\ ft[/tex]
don't know it is complicated
What does the mode represent in a set of numbers?
Answer:
The mode is the number that shows up the most in the set.
Step-by-step explanation:
1 4 6 3 7 1 1 4 9 1
mode is 1
The mode represents the most frequent number that is, the number that occurs the highest number of times in a set of numbers.
Given that,
Define the term 'Mode'.
Since, The mode, in a set of numbers, represents the value that appears most frequently.
It is a measure of central tendency, providing insights into the most common or popular value within the data set.
For example, let's consider the set of numbers: 3, 5, 5, 1, 2, 4, 5, 3, 5, 6.
In this set, the mode is 5 because it appears more frequently than any other number.
So, The mode, in a set of numbers, represents the value that appears most frequently.
To learn more about the mode visit:
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Please answer quickly
Answer:
1 1/2
Step-by-step explanation:
Select the correct answer.
What is the domain of the function shown on the graph?
Answer:
B. negative infinity < x < positive infinity
Step-by-step explanation:
When a question asks for the domain of a function, it is asking for all possible x-values, so we can rule out choice A since there are clearly x-values greater than 1. This graph shows arrows pointing left and downward, indicating that the graph continues past what we can see. This tells us that even though the x-values look like they end at -10 and 2, they continue further, so we can also rule out option C and option D. After these eliminations, we are left with choice B, which is a way of writing "All real numbers," and is the domain for all exponential functions, including this one.
lmk if im incorrect about anything, hope this helps :)
6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of the smaller garden is 180 m², then what was the area of her square garden
Answer:
let dimention of original garden be x
then (x-8)(x-5) = 180
x^2 -13x -140 = 0
(x-20)(x+7)=0
x= 20 or x = -7
x = 20
original area = (20)^2
= 400 m^2
last math question for today!!!!
Answer: Maybe search it up?...I cant rlly see what the question says
Step-by-step explanation:
What is the sum of the two fractions below in simplest form.
3 3/8 and 2 1/4
Answer:
5 5/8
Step-by-step explanation:
This is in the simplest form
please tell me the answer to this
Answer:
Wow you got s lot of questions wrong
Step-by-step explanation:
complete this please, i really need your help ")
Answer:
²,2.5,2.5+10,25.0
may it help you
An item is regularly priced at $90. It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price?
Answer: $36 is discounted from the regular price
Step-by-step explanation:
First, we need to take our given numbers
Originally $90
On sale for %40
Let's now use this equation
90(n)
n will equal 0.40 due to it being %40 off
90(0.40)
$36
Find the 7th term of the geometric progression which begins -6250, 1250, -250....
Answer:
a(7) = -0.4
Step-by-step explanation:
The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio. In this problem, a(1) = -6250. To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.
Then the formula for THIS geometric progression is
a(n) = -6250*(-0.2)^(n - 1).
Thus, the 7th term of THIS progression is
a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4
Answer:
a₇ = - [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
The nth term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then
a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]
You purchase three $0.89 candy bars and you hand the cashier a $5 bill. You then tell them to keep the change as a top. What percent tip did you leave
Answer:
82.2%
Step-by-step explanation:
You gave them $4.11 extra and 4.11 of 5 is 82.2
4(−3x+8)=−16 Which value is the solution to the equation below?
Answer:
I'm 99.9% sure that x=4
Step-by-step explanation:
Find the value of x in 2x – 13 = 5
Answer:
x=9
Step-by-step explanation:
So first, you have to add 13 to both sides to isolate the x so that will make the equation 2x=5+13. Add 5 and 13 to get 18. The equation will now be 2x=18. Divide both sides by 2 because we want x to equal one. This will make it x=18/2. Simplify that and get x=9
Hope this helps
Question
Find the value of x in 2x – 13 = 5 .
ANSWER
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication, and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Hence, this information ( x = 9 )
-Hope this helped.
The drama club sold tickets for the school play at $5 each. A ticket for the dress rehearsal cost $2. The club sold four times as many tickets for the play as for the dress rehearsal. The drama club collected $5148 for the tickets. How many tickets were sold for the dress rehearsal? How many tickets were sold in total?
ahoj odpoveď je 你好，答案是
2) What is the value of x? *
15.5
25.5
31
47
Step-by-step explanation:
2∠BDA = ∠BCA
2 (3x - 15)° = (2x + 32)°
6x - 30 = 2x + 32
6x - 2x = 32 + 30
4x = 62
x = 62/4
x = 15.5
#CMIIWSolve using the quadratic formula. x^2−10x+23=0
Answer:
x = 5 ± √ 2
Step-by-step explanation:
Solve
a.2 (3x - 1) = 40
b.4(2x + 13) = 80
What is x
the first answer is 40
then number B is 80 hope this helps
How many triangles can a heptagon be divided into? 3 5 4 6
Answer:
5 triangles.
Step-by-step explanation:
Answer:
5 or 4
Step-by-step explanation:
Use simple interest to find the ending balance. $215 at 8% for 8 years
Answer:
$ 352.6
Step-by-step explanation:
SI = P (1 + rt)
= 215 [ 1 + (0.08) x 8]
= 215 (1 + 0.64)
= 215 (1.64)
= $ 352.6
Three prime numbers that can be multiplied to get 825
Answer:
Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.
Step-by-step explanation:
Hope this helps!
Answer: 3, 5, and 11
3 * 5 * 5 * 11
Step-by-step explanation:
Make a factor tree for 825
825
/ \
5 165
/ \
5 33
/ \
3 11
What is the value of n that makes 10n = 50 true?
Answer:
n=5
Step-by-step explanation:
50 divided by 10 = 5
Answer:
n=5
Step-by-step explanation:
To figure out n we must divide 50 and 10.
50 ÷ 10 = 5
So n=5
Citlali was traveling at 60 miles per hour. she has already traveled 120 miles. To get to california which is 360 miles from home, and traveling at the same average speed, how many more hours will it take before he arrives in california?
Answer:
4 more hours
Step-by-step explanation:
First, you know that Citlali is traveling 60 miles per hour so he travels 60 miles every hour. He has already traveled 120 miles so you subtract 120 from 360 because that is the amount of miles Citlali now has to travel. Then, you know that she travels 60 miles per hour so the equation will be 60x=240. Then, you divide 60 in both sides and get x=4. Therefore, it will take four more hours until he arrives at California.
Hope this helps
The triangles on the grid below represent a translation.
On a coordinate plane, triangle A B C is shifted 5 units up to form triangle A prime B prime C prime.
Which translation is shown on the grid?
a horizontal translation only
a vertical translation only
a horizontal translation followed by a vertical translation
a vertical translation followed by a horizontal translation
Answer:
B. Vertical Translation only
Step-by-step explanation:
:>
The triangle ABC is vertically translated only. Then the correct option is B.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry.
Rotation does not change the size and shape of the geometry.
Translation does not change the size and shape of the geometry.
On a coordinate plane, triangle ABC is shifted 5 units up to form triangle A'B'C'.
The diagram is given below.
From the diagram, we can clearly observe that the triangle ABC is vertically translated only.
Then the correct option is B.
More about the transformation of geometry link is given below.
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16 + x = 22
Please help
Answer:
6
Step-by-step explanation:
All you have to do is subtract 16 from both sides!
16+x=22
-16 -16
x=6
I hope this helps, and have a great day! :)
i really need help with this
i need help fast!! and i’m almost failing
Answer:
well I would love to help-where is the pic...?
Liam had a stack of 50c coins. He spent €2.75 and had €1.75 left. How much did he have at the start?
Answer:
Total coins Liam at the start = 9
Total money Liam in the start = €4.5
Total money Liam in the start = 450 cent
Step-by-step explanation:
We know that
1€ = 100 cent
⇒1 cent = 0.01 €
⇒50 cent = 0.5€
Now,
Total money spent = €2.75
Total money left = € 1.75
So, Total money in the initial = Total money spent + Total money left
= €2.75 + €1.75 = €4.5
⇒Total money in the initial = €4.5
Now,
1€ = 100 cent
⇒€4.5 = 450 cent
Now,
As Liam has a stock of 50 cent coins
So, total coins Liam left with = 450/50 = 9 coins
Roberto will roll a number cube and flip a coin. The faces of the number cube are labeled 1 through 6. The coin can land on heads or tails. What is the probability that the number cube lands on an even number and the coin lands on tails?
Answer: There are 3 even numbers on the cube. There are 2 sides to a coin. there is a 1/2 chance of the cube landing on an even number. There is a 1/2 chance of the coin landing on tails.
There is a 1/4 chance of these events occurring together.
1. Lynn is tracking the progress of her plant's growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. A. Find an equation that represents the plants height after any given number of days. B. How tall is the plant after 9 days?
Answer:
the anwer is C
Step-by-step explanation:
I hope its help
solve the following
1) 2(x + 3) = x - 4
2) 4(5x-2) = 2(9x+3)
PLS HELP
Answer:
(1) [tex]x = -4[/tex] (2) [tex]x = 7[/tex]
Step-by-step explanation:
From the first equation:
[tex]2(x + 3) = x - 4\\\implies x = 2(x + 3) + 4\\\implies x = 2x + 6 + 4\\\implies x = 2x + 4\\\implies -4 = 2x - x\\\implies x = -4[/tex]
From the second equation,
[tex]4(5x - 2) = 2(9x + 3)\\\implies 20x - 8 = 18x +6\\\implies 20x - 18x - 8 -6 = 0\\\implies 2x -14 = 0\\\implies 2x = 14\\\implies x = \frac{14}{2} = 7[/tex]