Answer:
a) The ladder reach 19.32 foot up the house
b) The bottom of the ladder is 5.18 foot from the house
Step-by-step explanation:
An illustrative diagram of the scenario is attached below.
From the diagram, we have a right angle triangle with the length of the ladder being the hypotenuse. The opposite indicates how far up the house the ladder reach and the adjacent indicates the distance of the bottom of ladder from the house.
a) To determine how far up the house the ladder reach, that is the opposite. Let the opposite be y
From the formula
Sinθ = Opposite / Hypotenuse
Where θ is the angle subtended
Here θ = 75°
Hypotenuse = 20 foot
∴ sin75° = y / 20
y = 20 × sin75°
y = 20 × 0.9659
y = 19.32 foot
Hence, the ladder reach 19.32 foot up the house.
b) To determine how far from the house the bottom of the ladder is, that is the adjacent. Let the adjacent be x
From the formula
Cosθ = Adjacent / Hypotenuse
Where θ is the angle subtended
Then,
cos75° = x / 20
∴ x = 20 × cos75°
x = 20 × 0.2588
x = 5.18 foot
Hence, the bottom of the ladder is 5.18 foot from the house.
A car rental company charges a 50 rental fee plus a 0.43 per mile
Answer:
y=0.43x+50
Step-by-step explanation:
This is the equation given the information
i need help plz!!!!!!!!!
Answer:
The second one is the correct answer g(x)=-1/4x-1/4
Step-by-step explanation:
Find the m < ABC , need help ASAP
Given :-
AB = AC
Then :-
This triangle is an isosceles triangle .
Let x be the value of ∠CAB . Then, ∠ABC will also have the same value as ∠CAB , since∠CAB and∠ABC are both the opposite base angles of an isosceles triangle .
An equation to find ∠ABC and ∠CAB :-
[tex] = x + x + 60 = 180[/tex]
[tex] = 2x + 60 = 180[/tex]
[tex] = 2x = 180 - 60[/tex]
[tex] = 2x = 120[/tex]
[tex] = x = \frac{120}{2} [/tex]
[tex] = x = 60[/tex]
Which means that the measure of ∠ABC and ∠CAB both are equal to 60°, and this triangle is an equilateral triangle.
Therefore :-
[tex]\color{olive}\bold{m∠ABC\color{hotpink} = 60°}[/tex]
[tex]\large{\underline{\underline{\red{\tt{\purple{\leadsto } GiveN\:\: Figure:-}}}}}[/tex]
[tex]\setlength{\unitlength}{1 cm}\begin{picture}(12,8)\put(0,0){\line(1,0){4}}\put(4,0){\line(-1,2){2}}\put(2,4){\line( -1, - 2){2}}\put(2,4.2){$\bf B $}\put(0, - 0.3){$\bf A $}\put(4, - 0.3){$\bf C $}\put(2,0.2){\line(0,-1){0.4}}\put(0.8,2){\line(1,-2){0.2}}\put(3.3,0.1){$\sf 60^{\circ}$}\end{picture}[/tex]
[tex]\large{\underline{\underline{\red{\tt{\purple{\leadsto } AnsweR:-}}}}}[/tex]
It is given that AB = AC . Since two sides of the triangle are equal , hence it must be an isosceles triangle .
And we know that in an isosceles triangle two base angles are equal . So ∠ABC = ∠ ACB = 60° .
Solve the equations by modeling. Draw the steps, using circles for the variables and squares for the numbers. 1) Solve 5x−4 = 3x +8. A. Model. B. Perform the step to have variables (circles) on only one side. C. Write the resulting step. D. Perform the step to have the variables (circles) alone on one side. E. Write the resulting step. F. Divide the variables (circles) and numbers (squares) into equal group
Answer:
x = 2
Step-by-step explanation:
Given the expression 5x−4 = 3x +8, we are to solve for the value of x;
Step 1: Collect the like terms so that the variables are on one side and Constants on the other side
5x - 3x = 8-(-4)
5x - 3x = 8+4
Step 2: Evaluate the expression in both sides
5x-3x = 8+4
2x = 12
Step 3: Divide both sides by 2
2x = 12
2x/2 = 12/2
x = 6
Hence the value of x is 2
Write the coordinates of each point (A through E) on the graph below in (x,y) form.
Coordinates in (x, y)
Point A ( )
Point B ( )
Point C ( )
Point D ( )
Point E ( )
The expression 4x/5-2x/3 is equvilant to
Answer:
2x/15
Step-by-step explanation:
4x/5 - 2x/3
~Find common denominators
12x/15 - 10x/15
~Subtract
2x/15
Best of Luck!
What is the distance between the two numbers.
Answer
8 is the distance
Step-by-step explanation:
KCC
Keep, Change, Change
-3.8 - 4.2
-3.8 + -4.2
8.0
distance eguals +8
because 4.2 was positive before you did kcc
and it was the largest decimal.
PLEASE GIVE BRAINLIEST!!!!!!!!PLEASE HELP!!! DUE TOMORROW MORNING!!!! WILL AWARD BRAINLIEST!!
Calculate the ratios in part (d). which one has the highest ratio?
Answer:
a
Step-by-step explanation:
1. Find the slope of the line
Answers
-1/4
1/4
4
-4
Answer:
-1/4
Step-by-step explanation:
An engineer is designing a building and wants rectangular spaces to maintain a ratio of 2 to 3. For any measurement value x, the length and width of the rectangular spaces can be represented by the functions:
Length: f(x) = 3x
Width: g(x) = 2x
Which function represents the area for any rectangular space in the building?
6x2
6x
3x2
10x
Answer:
An engineer is designing a building and wants rectangular spaces to maintain a ratio of 2 to 3. For any measurement value x, the length and width of the rectangular spaces can be represented by the functions:
Length: f(x) = 3x
Width: g(x) = 2x
Which function represents the area for any rectangular space in the building?
6x2>>>>>CORRECT ANSWER
6x
3x2
10x
Step-by-step explanation:
CORRECT ON EDGE 2021
Answer:
A
Step-by-step explanation:
:)
In the diagram below
Answer:
C. B. fhxffucfzyhcdzefyhcesr
How would I find the x-intercept and the y-intercept for the equation: 6x+5y=−60?
Answer:
use the slope intercept form of the equation
y = Mx +b
Step-by-step explanation:
6x+5y = -60
5y = -6x - 60
y = (-6/5)x -12
now just plug in zero for x in that above equation ... that will be the y intercept -12
and plug in zero for y and solve for x
0 = (-6/5)x -12
12= -6/5x
(-5/6)(12) = x
-10 = x
Write the inequality that would represent the following statements.
All real numbers less than 3
All real numbers at least -5
All real numbers at most 2
All real numbers greater than 7
Answer:
Hi! Can I ask you a question?
A crosstown bus travels 8 kilometers in 45 minutes. What is its average rate of speed
Answer:
10.67 km/hr
Step-by-step explanation:
A crosstown bus travels 8 kilometers in 45 minutes, its average rate of speed is, 10.67 km/hr
What is average?In mathematics, Average is a values which we calculate by dividing sum of values of all the data-set by number of data-sets.
Average = sum of values of all the data-set/number of data-sets
Given that,
A crosstown bus travels 8 kilometers
Time = 45 minutes =45/60 hr = 3/4 hr
Average speed = ?
Average speed = Total distance covered /Total time taken
Average speed = 8 km/(3/4)hr
= 10.6666 km/hr
Hence, The average speed is 10.67 km/hr
To know more about average check:
https://brainly.com/question/9834403
#SPJ5
Solve for x
(-32) × 7x(-4)=x
Answer: X=0
Step-by-step explanation:
X=0
Simplify ( − 32 ) ⋅ ( 7 x ( − 4 ) ) . Tap for fewer steps... Multiply − 4 by 7 . − 32 ⋅ ( − 28 x ) = x Multiply − 28 by − 32 . 896 x = x Move all terms containing x to the left side of the equation. Tap for fewer steps... Subtract x from both sides of the equation. 896 x − x = 0 Subtract x from 896 x . 895 x = 0 Divide each term by 895 and simplify. Tap for fewer steps... Divide each term in 895 x = 0 by 895 . 895 x 895 = 0 895 Cancel the common factor of 895 . Tap for more steps... x = 0 895 Divide 0 by 895 . x = 0
brynne withdrew all the money
Answer:
whats the question, lol?
Step-by-step explanation:
Anil bought a book and a pen . The cost of the pen is 60%the price of the book. The book cost $10.00 more than the pen .How much did she pay for the both items
Answer: She payed 16 dollars for them both.
Answer:
$16.00
Step-by-step explanation:
10% of $10.00 is $1.00. 1x6= 6
10+6 = 16
I need someone to match all of these please
Answer:
48 to 36= 4 to 9
56 to 35=8 to 5
1 to 2=
44:99=4 to 9
30:65=
17 to 51=
9:7
CAN SOMEONE HELP? KINDA HARD TO SEE BUT ZOOM IN
Answer:
d
Step-by-step explanation:
it is d
When these data are graph on a coordinate grid, the points all lie on the same line. What are the slope and y-intercept of this line?
Answer:
The slope and y-intercept would be 0.
Step-by-step explanation:
Since they all sit on the same line, the slope and y-intercept would be zero. Or in other words, indefinite.
Simplify, multiply and divide rational expressions
Answer:
Where is the problem??
Step-by-step explanation:
Write the equation of the line described that passes through (12,-17), perpendicular to y = -3/7x - 5
Answer:
y + 17 = 7/3(x - 12)
General Formulas and Concepts:
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate
y₁ - y coordinate
m - slope
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Perpendicular lines have the negative reciprocal slope of the given line's slope.
Step-by-step explanation:
Step 1: Define
Line: y = -3/7x - 5
Slope m = -3/7
Point (12, -17)
Step 2: Find slope of perpendicular line
Take the negative reciprocal of the original slope.
Slope m = 7/3
Step 3: Write perpendicular line equation
x₁ = 12
y₁ = -17
m = 7/3
y + 17 = 7/3(x - 12)
y=1/2√x
y=2x-7
solve by using substitution
Answer:
You can substitute by setting the equations equal to each other.
Use a calculator to solve.
In a test, 5 marks are given for every correct answer and (-2) marks are given for every incorrect answer. 1) Anjali scored 30 mark. If she got 10 correct answers, how many questions she answered incorrectly? 2) Rohan got 4 correct answers. If he scored (-12) marks in the test, how many questions he answered incorrectly?
Answer:
1. Anjali answered 10 questions incorrectly
2. Rohan answered 16 questions incorrectly
Step-by-step explanation:
1 .The mark given for one correct answer = 5
That means that the mark given for 10 correct answers = 5 × 10 = 50
But Anjali's score = 30
Also, the marks gotten for incorrect answers = 30 - 50 = -20
Mark given for one incorrect answer = -2.
Therefore, number of incorrect answers would be;
= (-20) ÷ (-2)
= 10
•Anjali answered 10 questions incorrectly.
2. Total marks = -12
Number of correct answers = 4
Total marks for correct answers = 4 × 5 = 20
Also, marks for incorrect answers = -2 × Number of incorrect answers
Therefore,
Total marks = Marks for the correct answers + Marks for the incorrect answer
-12 = 20 + (-2) × Number of incorrect answers
-12 - 20 = -2 × Number of incorrect answers
-32 / 2 = Number of incorrect answers
Number of incorrect answers = 16
• Rohan answered 16 questions incorrectly.
Is (-2,-4) a solution of the system y=2x and 3x+2y=1 ?
Answer:
No
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Let f(x)=3x^2−5x+1 and g(x)=2x^2+7x−6. Find f(x)+g(x).
Calculate the volume of a solid with a density of 5.3 g/cm3 and a mass of 371 g.
The product of seven and a number increased by five
9514 1404 393
Answer:
7n +5
Step-by-step explanation:
English tends to be ambiguous in statements like this. It is difficult to tell whether we want 5 more than the product, or 7 times the sum. Sometimes punctuation can help make the meaning clear. Assuming the former, a suitable expression is ...
7n +5 . . . . the product of 7 and a number, increased by 5
Kaleb has 45 DVD's in his collection and Eileen has 61. If Kaleb buys 4 new DVD's each month and Eileen buys 2 new DVD's each month, after how many months will Kaleb and Eileen have the same amount of DVD's?
Answer: After 8 months they will have equal number of DVD's.
Step-by-step explanation:
Given: Kaleb has 45 DVD's in his collection and Eileen has 61.
Let x= Number of months
If Kaleb buys 4 new DVD's each month and Eileen buys 2 new DVD's each month , then
Total DVD's Kaleb has = 45+4x
Total DVD's Eileen has = 61+2x
When they has equal DVD's , then
[tex]45+4x =61+2x\\\\\Rightarrow\ 4x-2x=61-45\\\\\Rightarrow\ 2x=16\\\\\Rightarrow\ x=\dfrac{16}{2}\\\\\Rightarrow\ x=8[/tex]
Hence, after 8 months they will have equal number of DVD's.
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Answer:
yo
Step-by-step explanation:
i hate pie
Answer:
u want us to calculate all that?? da-mn
Step-by-step explanation: