Answer:
The ladder reaches [tex]15ft[/tex]
Step-by-step explanation:
In the first case we have
[tex]cos\theta =\frac{12}{15}[/tex]
In second case let the height be [tex]x[/tex]
We have
[tex]sin\theta =\frac{x}{25}[/tex]
We know that
[tex]cos\theta =\frac{12}{15}\\\\sin\theta =\sqrt{1-\frac{12^{2}}{15^{2}} } \\\\sin\theta =\sqrt{\frac{81}{225} } \\\\sin\theta =\frac{9}{15} }[/tex]
Substituting
[tex]\frac{9}{15} =\frac{x}{25}\\\\x=\frac{25\times9}{15} =15[/tex]
The ladder reaches [tex]15ft[/tex]
Convert this improper fraction to a Mixed Number 40/10 plz i need help
Answer:
4
Step-by-step explanation:
How many times does the denominator go into the numerator, in this case 10 goes into 40 4 times.
The sum of three times a number and 5 is 32
Answer:
The number is 9.
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
Let the no. be x.
[tex]:\implies\tt{3x + 5 = 32} \\ \\ \\ :\implies\tt{3x = 32 - 5} \\ \\ \\ :\implies\tt{3x = 27} \\ \\ \\ :\implies\tt{x = \frac{27}{3} } \\ \\ \\ :\implies\tt{x = 9}[/tex]
What is 39,800,000 in scientific notation? A. 3.98 x 10 B. 398 x 10 C. 3.98 x 10 D. 39.8 x 10
Answer:
3.98 x 10^7
Step-by-step explanation:
Answer:
3.98 x 10⁷Review:
What is scientific notation: It is a number that is between 1-10 and is written in exponents.
Instruction:
We need to re-write the number "39,800,000" that is between 1-10 and is written in exponents.
Solution:
=> 39,800,000 = 398 x 10⁵This is still not in scientific notation form because it is not between 1-10. Let's simplify further.
=> 398 x 10⁵ = 3.98 x 10⁵⁺²=> 3.98 x 10⁷This is now in scientific notation form because it follows the 2 reasons to form a scientific notation.
Conclusion:
Therefore, 3.98 x 10⁷ is the number in scientific notation.
[tex]BrainiacUser1357[/tex]
55) Carl spent 25% of his money for some presents. What percent
did he have left?
Answer:
75%
Step-by-step explanation:
In total it was 100%, but he spent 25%.
100% - 25%=75%
23.15 – [ 115 + ( 12 - 25)]
Answer:
-78.85
Step-by-step explanation:
Using Order of Operations (PEDMAS):
23.15 – [ 115 + ( 12 - 25)]
= 23.15 – [ 115 + (-13)]
= 23.15 – [ 115 - 13]
= 23.15 - 102
= -78.85
Use the distance formula to answer the question:
What is the distance between (5,9), (1, 6)?
Step-by-step explanation:
The formula is Distance=√(x2-x1)²+(y2 -y1)²
x1 is 5, x2 is 1, y1 is 9, y2 is 6
D = √( 1-5)² +(6-9)²
D = √(-4)²+(-3)²
D = √16+9
D = √25
D = 5 units
X- 7y = -21 2x -14y =-42
Solve by substitution.
This is the possible solution. If the question isn't set up right Please tell me and I'll fix what needs to be changed. All the best
the given system of equations has no Solution.
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given, a system of equations:
X- 7y = -21......(1)
2x -14y =-42.....(2)
From equation 1
x = -21 + 7y
Substitute the value in equation 2
2(-21 + 7y) -14y-14y = -42
Since the given equation are same
Therefore, given equations have no Solution.
Learn more about the System of equations here:
https://brainly.com/question/12628931
#SPJ2
select the two values of x that are roots of this equation 2x^2-11x+15=0
A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?
Answer:
The answer is 72%
Step-by-step explanation:
54 out of 75 is a percentage of 72%.
[tex]\frac{54}{75} = 72[/tex]
Mark me brainliest if possible, it's always appreciated!
Hope this helps!
Have a great day/night/afternoon!
- ❤ 7272033Alt ❤
700 people attended a football game. If 20% of the people who attended were teenagers, how many teenagers attended the game?
Plz. Helppp me what the answer???
Pls help right answer gets brainliest
Answer:
x=3/2
Step-by-step explanation:
.D .I
9x 7x+3
.C .E .H .J
7x+3=9x
-7x -7x
-------------
3=2x
-- --
2 2
x=3/2
Check
9(3/2)=13.5
7(3/2)+3=13.5
Solve for x help me please****
Answer:
2x-10=x
take -10 to the other side it becomes +10
take +x to the other side where there is 2x it becomes-xevaluate 2x-x=xso x=10x is a random real number between 0 and 3. what is the probability that it is closer to 0 than it is to 1?
Answer:
The area y>x will belong to the trapezoidal area. Thus, the area of the trapezoid = 0.5*(4+1)*3 = 15/2. Finally, the required probability = trapezoid ...
Step-by-step explanation:
Which of the following are involved in graphs of linear equations.
* Intercepts
* The graph is a curve
* The graph is the solution set.
* Slope
* The equation usually has a squared variable
Answer:
Step-by-step explanation:
* Intercepts YES The point where the line crosses the y axis (the value of y when x=0)
* The graph is a curve No. It would not be a linear equation.
* The graph is the solution set. Yes.
* Slope Yes
* The equation usually has a squared variable No
Find DY if PY= 6
and DP= 10.
The relationship between sides DY, PY and DP is that they form a right-angled triangle.
The value of side length DY is 8 units
Side length DY can be calculated using the following Pythagoras theorem.
So, we have:
[tex]DP^2 =DY^2 + PY^2[/tex]
Substitute values for DP, DY and PY
[tex]10^2 =DY^2 + 6^2[/tex]
Evaluate the squares
[tex]100 =DY^2 + 36[/tex]
Subtract 36 from both sides
[tex]64 =DY^2[/tex]
Take square roots of both sides
[tex]8 =DY[/tex]
Rewrite as:
[tex]DY = 8[/tex]
Hence, the value of side length DY is 8 units
Read more about Pythagoras theorems at:
https://brainly.com/question/654982
How i can answer this question?
Answer: 3r+8
Step-by-step explanation:
4r-r=3r
and 14-6=8
therefore it would be 3r+8
6.True or False.
A numeral, such as 22 is called a constant.
Answer:
True
Step-by-step explanation:
The term with no variable attached to it is the constant
Answer:
te voy a devolver el susto me diste 9 veces peor
Step-by-step explanation:
I need help plz
12
10
8
12.5
Answer:
8
Step-by-step explanation:
What is the value of -2
Answer:
11
Step-by-step explanation:
-2 lies in the second range that begins with -2 and ends with 8
−6x≥17 Give your answer as an improper fraction in its simplest form.
HELPPPPPP QUICK
Answer:
[tex]x \leqslant \frac{ - 17}{6} [/tex]
hat equation represents this sentence?
7 less than a number is 16.
7−n=16
n−7=16
7=16−n
like you cut g
7=n−16
Answer:
2nd option
Step-by-step explanation:
let the number be n then 7 less than this number is n - 7 , so
n - 7 = 16
A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi.
Answer: 267.947 (or 267.95) inches^3
Step-by-step explanation:
The formula for the volume of a sphere is [tex]\frac{4}{3}\pi r^{3}[/tex].
To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.
Plug in your numbers to the volume equation to get [tex]\frac{4}{3} (3.14)(4^3)[/tex]. The first step is to cube 4 (4*4*4) to get 64. Now your equation is [tex]\frac{4}{3}(3.14)(64)[/tex].
Multiply 3.14 and 64 to get 200.96. The equation is now [tex]\frac{4}{3}(200.96)[/tex] or [tex]\frac{4}{3} * \frac{200.96}{1}[/tex].
Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of [tex]\frac{803.84}{3}[/tex].
Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.
1. If the spinner below is spun once, find the
probability of a number less than 10
Answer:
5% chance
Step-by-step explanation:
I need a fast answer because I’m about to get on a plane
Answer:
C
Step-by-step explanation:
-6 is less than 7
could some one answer this
Answer:
12
Step-by-step explanation:
So she went there 4 times. Each time, she pays for the salad itself (we don't know how much) and she also leaves a 1,50 dollar tip. All together, she paid 54 dollars.
-> TIPS: 4x 1,50= 6 (dollars)
-> SALADS: 54 (total amount she paid) - 6 (tips) = 48 (all the 4 salads she bourght)
-> 1 SALAD: 48/4=12
-----------linear equation:-------------
54 = 4 x 1,5 + 4 x c
54 = 6 + 4c
48 = 4c
12 = c
4x + 7 = 6x + 4. what is this answer step by step?
[tex]4x+7=6x+4\\\\\implies 6x -4x = 7-4\\\\\implies 2x = 3\\\\\implies x =\dfrac 32[/tex]
Answer:
x= 3/2
Step-by-step explanation:
4x+7=6x+4
Step 1: Subtract 6x from both sides.
4x+7−6x=6x+4−6x
−2x+7=4
Step 2: Subtract 7 from both sides.
−2x+7−7=4−7
−2x=−3
Step 3: Divide both sides by -2.
-2x=-3
-2 -2
=
3/2
It is estimated that 89% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
(a)Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.
(b)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.
For a;
[tex]P(a | sd) = p(a AND sd)/P(sd) = 0.06/(0.89) = 0.674[/tex]
For b;
[tex]P(ds | a) = P(ds AND a)/P(a) = 0.06/0.09 =\frac{2}{3}[/tex]
If my calculations are incorrect, then sorry ;/
- ❤ 7272033Alt ❤
There were approximately 16 million visitors to Disneyland in 2012. If the theme park is open every day of the year, about how many people visit per day?
BRAINLIEST
Do one of the above and show your work
Answer:
10, C = circumference = 2 pi 11 = 69.11 since the radius = 6
PR = C / 2 = 34.6 since PR is 1/2 the circumference
PS = 34.6 - 16 = 18.6 since PS is 16 ft short of C/2
Answer:
Step-by-step explanation:
need help asap plz help me
Answer:
idek not gonna lie
Step-by-step explanation:
Answer:
The first one is A) 4 The second on is D) 65
Step-by-step explanation:
You divide the first number by the second number eg. 12 divided by 3=4. so 4.
You repeat the process for the second one, which is 32.5 divided by 5=6.5 so then you multiply that times 100 so 65.