Answers
Tan(angle) = Opposite leg / Adjacent leg
Tan (Angle) = 50/30
Angle = arctan(50/30)
Angle = 59.0 degrees.
Find the length of the ladder using the Pythagorean theorem:
50^2 + 30^2 = X^2
2500 + 900 = x^2
x^2 = 3400
x = √3400
x = 58.3 inches.
Answer:
59.03 deg
58.31 in
Step-by-step explanation:
The wall and the floor form a right angle. The parts of the wall and the floor from the corner until they intersect the ladder are the legs of a right angle. The ladder is the hypotenuse of the right angle.
You can use trigonometry to find the measure of the angle.
For the angle where the ladder touches the floor, the leg along the wall is the opposite leg, and the leg along the floor is the adjacent leg.
Use the tangent ratio.
[tex] \tan A = \dfrac{opp}{adj} [/tex]
[tex] \tan A = \dfrac{50}{30} = \dfrac{5}{3} [/tex]
[tex] A = \tan^{-1} \dfrac{5}{3} [/tex]
[tex] A = 59.03^\circ [/tex]
To find the length of the ladder, which is the hypotenuse of the triangle, you can use trigonometry again or the Pythagorean Theorem.
I'll use the Pythagorean Theorem.
[tex] a^2 + b^2 = c^2 [/tex]
[tex] (50~in)^2 + (30~in)^2 = c^2 [/tex]
[tex] 2500~in^2 + 900~in^2 = c^2 [/tex]
[tex] c^2 = 3400~in^2 [/tex]
[tex] c = \sqrt{3400~in^2} [/tex]
[tex] c = 10\sqrt{34}~in [/tex]
[tex] c \approx 58.31~in [/tex]
Related Questions
Flying against the wind, a jet travels 8730mi in 9 hours. Flying with the wind, the same jet travels 7260mi in 6 hours. What is the rate of the jet in still air and what is the rate of the wind?
Rate of the jet in still air: mi/h
Rate of the wind: mi/h
Answers
recall your d = rt, distance = rate * time.
j = jet's rate
w = wind's rate
so with the wind the actual speed of the Jet is really j + w, because the wind is adding speed to it, and against it is j - w, since the wind is eroding speed from it.
[tex]\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{against the wind}&8730&j-w&9\\ \textit{with the wind}&7260&j+w&6 \end{array}~\hfill \begin{cases} 8730=(j-w)(9)\\ 7260=(j+w)(6) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{\cfrac{8730}{9}=j-w\implies }970=j-w\implies 970+w=j \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{\textit{using the 2nd equation}}{\cfrac{7260}{6}=j+w}\implies 1210=j+w\implies \stackrel{\textit{doing some substitution on \underline{j}}}{1210=(970+w)+w} \\\\\\ 1210=970+2w\implies 240=2w\implies \cfrac{240}{2}=w\implies \boxed{120=w} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{970+w=j}\implies 970+120=j\implies \boxed{1090=j}[/tex]
Samantha wants to use her savings of $1,150 to buy shirts and watches for her family. The total price of the shirts she bought was $84. The watches cost $99 each. Choose the inequality that would be used to solve for the maximum number of watches Samantha can buy with her savings.
A.99 + 84x ≤ 1,150
B. 99x + 84 ≥ 1,150
C.99x + 84 ≤ 1,150
D.99 + 84x ≥ 1,150
Answers
The required inequality would be 99x + 84 ≤ 1,150. so the correct option is C.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Given;
The cost of the shirt she bought = $ 84,
And the cost of each watch she bought = $ 99,
Now Suppose she bought x watches,
So, the cost of x watches = 99x dollars,
Also, her total spending = 84 + 99x
Since she has a total budget of $1,150,
That is her spending can not be exceed $ 1,150, ( or spending must be less than or equal to $ 1150 )
⇒ 99x + 84 ≤ 1,150
Hence the required inequality would be 99x + 84 ≤ 1,150. so the correct option is C.
Learn more about inequalities here:
https://brainly.com/question/27425770
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What are the length and width of a rectangle if
the length is 10 meters longer than the width and the
area is 56 square meters?
Answers
Answer:
4 is the width, 14 is the length
Will mark brainiest, thank, and rate to the best answer!!
The table shows the number of blue marbles and red marbles that four friends have collected.
Which person has the lowest ratio of blue to red marbles?
Jasmine
Aaron
Lucian
Gretchen
Answers
Hola! My name is Zalgo and I am here to help you out today. So, let's observer everyone's ratio and if it can be simplified, we can simplify ti to make it easier. Jasmine has 12:10, Aaron has 3:2, Lucian has 10:10 and Gretchen has 14:2. If we simplify Jasmines, for every 6 blue, she has 5 red (6:5). Lucian has an equal ration if we simplify it (1:1) and Gretchen would have 7 blue for every 1 red (7:1). So, the person with the lowest ration would be Lucian.
I hope that this helps! :3
"Stay Brainly and stay proud!" - Zalgo
(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Gracias! XT)
Lucian has the lowest ratio of blue to red marbles which is 1:1 option third "Lucian" is the correct choice.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have data shown in the table:
For Jasmine, the ratio of blue to red marbles:
12:10
6:5
For Aaron, the ratio of blue to red marbles:
3:2
For Lucian, the ratio of blue to red marbles:
10:10
1:1
For Gretchen, the ratio of blue to red marbles:
14:2
7:1
Thus, Lucian has the lowest ratio of blue to red marbles which is 1:1 option third "Lucian" is the correct choice.
Learn more about the ratio here:
brainly.com/question/13419413
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11. A machine fills 150 bottles of water every 8
minutes. How many minutes it takes this machine
to fill 675 bottles?
A. 26 MINUTES
B. 36 MINUTES
C. 46 MINUTES nababa
D. 35 MILES
Answers
Answer:
36 minutes
Step-by-step explanation:
In order to find how many minutes it takes to fill 675 bottles, we need to find how many bottles the machine produces in one minute.
To do so, we can divide 150 by 8, which would give us the total amount of bottles produced in one minute.
150/8 = 18.75
So, 18.75 bottles are produced in one minute
To find the total number of minutes it takes to fill 675 bottles, we can divide 675 by the number of bottles produced in one minute, which is 18.75
675/18.75 = 36
Therefore, it takes the machine 36 minutes to fill 675 bottles.
Given : Machine fills 150 bottles of water every 8 minutes
[tex]\mathsf{\implies Machine\;fills\;1\;bottle\;of\;water\;in\;\left(\dfrac{8}{150}\right)\;minutes}[/tex]
[tex]\mathsf{\implies Machine\;fills\;(675 \times 1)\;bottles\;of\;water\;in\;\left(675 \times \dfrac{8}{150}\right)\;minutes}[/tex]
[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(675 \times \dfrac{4}{75}\right)\;minutes}[/tex]
[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(135 \times \dfrac{4}{15}\right)\;minutes}[/tex]
[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(9 \times 4}\right)\;minutes}[/tex]
[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\boxed{\mathsf{36}}\;minutes}[/tex]
Kite DCFE is inscribed in circle A shown below: (the picture)
If the measure of arc DEF is 266°, what is the measure of ∠DEF? Only enter numeric answer. Do not enter any units.
Answers
Check the picture below.
let's recall that a circle has a total of 360°, so the arcDCF is 360 - 266 = 94, and is the intercepted arc by the inscribed ∡DEF.
Evaluate the following expression 1/3^2
Answers
Answer:
1/9
Step-by-step explanation:
1/3*1/3=1/9
In the literal equation below, what do C and F represent?
F = C + 32
Answers
Hi!
Let's take a look at the equation:
F = C + 32
What do we notice?
C and F are both variables.
Variables are unknown numbers represented by a letter.
In this case, C and F are the variables.
Hope this helps!
- Melanie
What is the y intercept of the line whose equation is y=1/x-3
Answers
Answer:
x-intercept: (1/3,0)
y-intercept: none
Answer:
-3
Hope this helps! Please mark as brainliest.
please help me! asap thank you ill mark brainliest
Answers
8n + 12 +(-9) -(-6n)
12 + -9 = 12-9 = 3
8n - (-6n) = 8n + 6n = 14n
The equation becomes 14n + 3
NEED NOW!!!
Which equation represents a linear function?
y – 2 = –5(x – 2)
x + 7 = –4(x + 8)
y – 3 = y(x + 4)
y + 9 = x(x – 1)
Answers
Answer:
The first one: y - 2 = -5(x - 2)
Step-by-step explanation:
Answer:
the function y – 2 = –5(x – 2) is linear.
Step-by-step explanation:
We need to find the correct option from provided options which represents a linear function
Since, the linear equation is in the form of y=mx+c where m is slope of line.
In first part y – 2 = –5(x – 2)
Simplify, the function
[tex]y -2 = -5x + 10[/tex]
Add both the sides by 2, in above equation
[tex]y = -5x +12[/tex]
This function is in the form of y=mx+c
so, this is a linear function
In second part x + 7 = –4(x + 8)
Simplify, the function
[tex]x+7= -4x+32[/tex]
subtract both the sides by 7, in above expression
[tex]x= -4x+32-7[/tex]
[tex]x= -4x+25[/tex]
add both the sides by 4x,
[tex]x +4x= 25[/tex]
[tex]5x= 25[/tex]
divide both the sides by 5,
[tex]x =5[/tex]
This is not in the form of y=mx+c
so, this is not a linear function
In third part y – 3 = y(x + 4)
Simplify, the function
[tex]y-3= yx+4y[/tex]
add both the sides by 3,
[tex]y= yx+4y+3[/tex]
This is not in the form of y=mx+c
so, this is not a linear function
In fourth part y + 9 = x(x - 1)
Simplify, the function
[tex]y+9= x^{2}-x[/tex]
subtract both the sides by 9,
[tex]y= x^{2}-x-9[/tex]
This is not in the form of y=mx+c
so, this is not a linear function
Therefore, the function y – 2 = –5(x – 2) is linear.
Need to find surface area please help
Answers
so the trapezoidal prism is really 4 rectangles and 2 isosceles trapezoids.
so we can simply get the area of each of those shapes and sum them up and that's the area of the prism.
[tex]\bf \stackrel{\stackrel{\textit{front and back}}{\textit{trapezoids}}}{2\left[ \cfrac{6(4+12)}{2} \right]}+\stackrel{\stackrel{\textit{left and right}}{\textit{rectangles}}}{2(6\cdot 6)}+\stackrel{\textit{top rectangle}}{(4\cdot 6)}+\stackrel{\textit{bottom rectangle}}{(6\cdot 12)} \\\\\\ 6(16)+72+24+72\implies 96+168\implies 264[/tex]
Three times a number minus ten is equal to the sum of twice the same number and five. The equation below represents the situation. 3x - 10 = 2x + 5. What is the value of x? HELP FAST!!!!!!!!!!
Answers
You can find this simply by rearranging the equation:
3x - 10 = 2x + 5
(+ 10)
3x = 2x + 15
(- 2x)
x = 15
I hope this helps!
Sally's total restaurant bill, including 10% tax and a $3 tip, came to $19.60. What percent tip did she leave the server? Round to nearest tenth
Answers
Step-by-step explanation:
[tex]19.60 - 3 = 16.60 \\ \frac{3}{16.60} = 0.2206 \\ 0.2206 \times 100 = 22.06\%[/tex]
Find the values of XYNZ to the nearest integer
Answers
Answer:
Part 1) The measure of x is 23°
Part 2) The value of y is [tex]y=5\ units[/tex]
Part 3) The value of z is [tex]z=12\ units[/tex]
Step-by-step explanation:
step 1
Find the value of x
we know that
[tex]x+67\°=90\°[/tex] ------> by complementary angles
[tex]x=90\°-67\°=23\°[/tex]
step 2
Find the value of y
In the right triangle of the figure
[tex]cos(67\°)=\frac{y}{13}[/tex] -----> adjacent side angle of 67 degrees divided by the hypotenuse
[tex]y=(13)cos(67\°)=5\ units[/tex]
step 3
Find the value of z
In the right triangle of the figure
[tex]sin(67\°)=\frac{z}{13}[/tex] -----> opposite side angle of 67 degrees divided by the hypotenuse
[tex]z=(13)sin(67\°)=12\ units[/tex]
Miguel’s bank is offering savings accounts with 4% interest compounded continuously, If Miguel invests $500 how much will he have after 2 years
Answers
Answer:
After 2 years Miguel will have in his account $541.64
Step-by-step explanation:
The formula for calculating compound interest continuously is:
[tex]A=pe^{rt}[/tex]
Where A is the amount of money obtained after t years.
r is the compound interest rate and p is the initial amount
In this case we have that:
[tex]p=\$500\\\\t=2\ years\\\\r=0.04[/tex]
Then we must find the final amount A
[tex]A=500e^{0.04(2)}[/tex]
[tex]A=\$541.64[/tex]
MNOP is a trapezoid with a meadian QR. Find x.
Answers
Answer:
D. x = 8
Step-by-step explanation:
MNOP is a trapezoid with a meadian QR
So
QR = 1/2(NO + MP)
2(QR) = NO + MP
2(16) = 8 + 2x + 8
32 = 2x + 16
2x = 16
x = 8
Answer:
The correct answer option is D. x = 8.
Step-by-step explanation:
We are given a trapezoid MNOP with the median QR and we are to find the value of x.
If we observe the figure, we can see that the length QR is the double of NO which means 8 units are added to NO. So the ratio for NO and MP would be 1:3.
NO = 8
QR = 8 + 8 = 16
MP = 8 + 8 + 8 = 24
Finding x:
2x + 8 = 24
2x = 24 - 8
2x = 16
x = 8
Find the area of a trapezoid with a height of 23, base 1 of 10 and base 2 of 18
Answers
Area= (b1+b2)/2*h
Area= (10+28)/2 * 23
Area= 38/2 * 23
Area= 19*23
= 437
Hope this helps!
State a true conclusion. 1) If a ● b = 0, then a = 0 or b = 0 2) 3x = 0 Conclusion:
Answers
Answer:
Conclusion: x = 0
Step-by-step explanation:
given: If a ● b = 0, then a = 0 or b = 0
then for 3x = 0, either 3 = 0 (not possible because 3 is obviously not zero) or x = 0 (answer)
May I have help on question 14
Answers
Answer:
y=mx+b
(6,6) (3,8)
6m+b=6
3m+b=8
6m+b-3m-b=-2
3m=-2
m = -2/3
-2+b=8
b=10
y = -2/3x+10
I choose 12.
-2/3(12)+10
=2
so put x as 12; y as 2.
Answer:
We want to add an x value we have not used before. A function has EVERY X IN A DOMAIN going to ONLY ONE Y value.
6,3,9,7 are already used for x.
so you can put in x = 8 and y = 12 as an answer. That will work and show a function. There are also other answers.
Step-by-step explanation:
y+ 2/y is it a polynomial in one variable or not? And if so, why?
Answers
Answer:
no because you have division by a variable
Step-by-step explanation:
If you have y + 2/y as an expression, this expression is not a polynomial expression because you have division by variable.
You are looking for an expression with only positive or 0 integer exponents.
Here are some examples of a polynomial:
5
5x+1
5x^2+x+1
-x
-x+1
3x^3+5x+1
4x^4+7x^2+x+1
and so on...
Here are some examples of expressions that aren't polynomials:
5+sqrt(x)
5+|x|
|x|-5
x^2+5|x|
5/x^3
6x^(-2)
and son on....
One leg of a right triangle has length 7 and all sides are whole numbers. Find the lengths of the other two sides.
Answers
Answer:
The other 2 sides have lengths 24 and 25.
Step-by-step explanation:
h^2 = x^2 + 7^2 where x is the other leg and h is the hypotenuse.
h^2 - x^2 = 49
(h + x) (h - x) = 49
The factors of 49 are 1 , 7 , and 49.
h + x could be 49 and h - x could be 1:
(25 + 24)(25 - 24) = 49.
So h = 25 and x = 24.
Write 60 as a product of prime factors in index form
Answers
Answer:
The prime factors of 60 are 2, 3, and 5.
Alex, his two sisters, and his dad are going to a movie. Alex
and his sisters can get student tickets. Adult tickets are three
dollars more than student tickets. Which algebraic expression
represents how much Alex and his family will spend to go to
the movies?
Answers
Let y represent adult tickets
y = 3.00 + x ..... (1)
Total cost
= 3x + y (3 student tickets and 1 adult ticket)
= 3x + 3+ x (sub equation (1))
= 4x + 3
What is the value of log^7343
Answers
Answer:
3.86 (or 3.9)
Step-by-step explanation:
There's a logarithm function on a graphing calculator
What is the value of x?
Answers
Answer:
139
Step-by-step explanation:
a pentagon has degrees that add up to 540 so considering youre given 401 degrees the remaining angle has to be 139
100+100+112+89+x=540
X=139
Hope this helps !
GIVING BRAINLIEST PLS HELP
Answers
Answer:
The first one: f(x) = 2
Step-by-step explanation:
In this case, we can see that for ALL values of 'x' the value of y=f(x) doesn't change, it's the same. That's why the function represented by the graph is f(x) = 2.
Answer:
f(x) =2
Step-by-step explanation:
Looking at the graph, the value of y does not change. y always equals 2
y=2
Since this is in function notation
f(x) =2
Rational numbers are _____ natural numbers always sometimes never
Answers
This is because natural numbers are 1, 2, 3, 4, 5...
Rational numbers are all numbers that can be simplified into a fraction.
Answer:
The correct answer would be B, Sometimes.
Step-by-step explanation:
Rational numbers are sometimes the natural numbers.
Rational numbers are the numbers that can be expressed as a quotient or fraction of two integers. Rational numbers can be in the form of decimals or natural numbers. Natural Numbers are the normal integers like 1, 2, 3, 4, etc. So the resulting numbers of any equation will give a rational number or a natural number. So it is so correct to say that rational numbers are sometimes the natural numbers.
Samuel is in charge of ordering lunch..
Answers
Answer:
The correct answer is D.
The correct identity Samuel should use is: D. (20 x 6) + (4 x 6) = 24 x 6
To find the total cost of ordering 24 lunch specials at $6.00 each, Samuel needs to compute 24×6.
The distributive property states that:
a×(b+c) = (a×b)+(a×c)
In this problem, we can break down 24 into 20 and 4, and then apply the distributive property.
This gives us:
24×6 = (20+4)×6
= (20×6) + (4×6)
HELP NEEDED, will give Brainlist answer!
Answers
Answer:
(x^2-8x+7) + (-8x+9)/(4x^2+3x-2)
Step-by-step explanation: