Answer:
7.5
Step-by-step explanation:
A 23 foot ladder is leaning against a wall. The angle of elevation of the ladder with the ground is `58\ degrees.` How far away is the bottom of the ladder from the bottom of the wall? Round your answer to the nearest hundredth.
Answer: 12.19 ft
Step-by-step explanation:
Given
Length of ladder is [tex]23 ft[/tex]
Angle of elevation is [tex]58^{\circ}[/tex]
Suppose the bottom of the ladder is x ft away from the bottom of the wall
from the figure, we can write
[tex]\Rightarrow \cos 58^{\circ}=\dfrac{x}{23}\\\\\Rightarrow x=23\cos 58^{\circ}\\\Rightarrow x=12.19\ ft[/tex]
Thus, the distance is 12.19 ft
A rectangle has length 127.3 cm and width 86.5 cm, both correct to 1 decimal place. Calculate the upperbound and the lowerbound for the perimeter of the rectangle. pls answer fast. i need all the workings.
Answer:
Correct to 1dp
127.3 cm = 127.0 cm
86.5 cm = 87.0 cm
Upper limits:
127.0 cm = 127.05 cm
87.0 cm = 87.05 cm
Lower Limits:
127.0 cm = 126.95 cm
87.0 cm = 86.95 cm
upper limit of perimeter of rectangle:
P = 2(l+w)
= 2(127.05 + 87.05)
= 2(214.1)
= 428.2 cm
lower limit of perimeter of rectangle:
P = 2(l+w)
= 2(126.95 + 86.95)
= 2(213.9)
= 427.8 cm
therefore;
[tex]427.8 cm \leqslant perimeter < 428.2cm[/tex]
The upperbound and the lowerbound for the perimeter of the rectangle are;
Upper bound perimeter = 428.2 cm
Lower bound perimeter = 427.8 cm
To get the upper bound and Lower limits for the length and width, we need to first approximate them to 1 decimal place to get;
Length; 127.3 cm ≈ 127 cm
Width; 86.5 cm ≈ 87 cm
Thus;
Upper limit of length = 127.05 cm
Lower limit of length = 126.95 cm
Upper limit of width = 87.05 cm
Lower limit of width = 86.95 cm
Formula for perimeter of rectangle is;
P = 2(length × width)
Thus;
Upper bound perimeter = 2(127.05 + 87.05)
Upper bound perimeter = 428.2 cm
Lower bound perimeter = 2(126.95 + 86.95)
Lower bound perimeter = 427.8 cm
Read more on perimeter of rectangle at; https://brainly.com/question/17297081
Help,anyone can help me do quetion a and b.
it's a diamond and 120% heat yatyat Efren Reyes bata
pls help me answer this maths equation
Answer:
∠ ABC = 48°
Step-by-step explanation:
Since AC = AB , the triangle is isosceles with the 2 base angles being congruent , that is
∠ ABC = ∠ ACB = 4x
The sum ot the 3 angles in a triangle = 180°
sum the angles and equate to 180
4x + 4x + 7x = 180
15x = 180 ( divide both sides by 15 )
x = 12
Then
∠ ABC = 4x = 4 × 12 = 48°
What is the x-intercept of the function graphed below?
Answer:
It should be A.
Step-by-step explanation:
Melissa wants to buy a $25 hat.
The sales tax in her state is 6.25%
How much will Melissa spend on the hat, including the tax?
Using proportions, it is found that, including the tax, she will spend $26.5625 on the hat.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, along with the $25, she pays a sales tax of 6.25% of the $25, hence:
Tax = 0.0625 x 25 = 1.5625.
Total = 25 + 1.5625 = 26.5625.
She will spend $26.5625 on the hat.
More can be learned about proportions at https://brainly.com/question/24372153
pls help someone show me step by step
:(
find the area of a trapezoid with the given measures. b1= 4 ¼ b2= 3 ¾ H= 2 ½
What’s the answer to this helpppp pleaseee
Answer:
Y= -1x-1
Step-by-step explanation:
The slope is going down in a 1 to 1 ratio, so the slope is -1. The line crosses the x axis at -1, so the y intercept is -1
Suppose you know a certain parabola has a vertex of (2, 1) and a y-intercept of 4. By symmetry, you can conclude that the parabola contains which of the following points?
a) (4,4)
b) (-2,4)
c) (-2,1)
d) (4,1)
Answer:
A
Step-by-step explanation:
We are given a parabola with a vertex point of (2, 1) and a y-intercept of y = 4.
And we want to determine another point on the parabola.
Recall that a parabola is symmetric along the axis of symmetry, which is the x-coordinate of the vertex.
Note that since the y-intercept of the parabola is y = 4, this means that a point on our parabola is (0, 4).
To get from (2, 1) to (0, 4), we move two units left and three units up.
Since the parabola is symmetric along axis of symmetry, another point on the parabola will be two units right and three units up. This yields (2 + 2, 1 + 3) or (4, 4).
Our answer is A.
Patrick wants to buy a new computer. He already has $275 saved and plans to save $125
each month. The price of the computer is currently $1,850, but Patrick expects the price
to drop by $100 each month. Patrick wants to determine the number of months he will
need to save.
.
If x represents the number of months, then write an equation to represent A, the total
amount Patrick saves.
If x represents the number of months, then write an equation to represent C, the cost of
the computer.
.
Use your equations from part “a” and part “b” to determine how many months he will
need to save before he can buy the computer. Show your work or explain how you got
your answer
Answer:
The answer is below
Step-by-step explanation:
The equation for a linear function is given as:
y = mx + b
where m is the slope of the function (that is the rate of change), b is the initial value of y when x is 0.
a) Since A represent the total amount saved and x represents the number of months. The relationship between A and x is given by:
A = -100x + 1850
The price reduces by $100 each month, while the initial price is currently $1,850.
B) Since C represent the cost of computer and x represents the number of months. The relationship between C and x is given by:
C = 125x + 275
The price increases by $125 each month, while the initial price is currently $275.
C) To determine the amount time needed before he can buy the computer, we use:
A = C
-100x + 1850 = 125x + 275
125x + 100x = 1850 - 275
225x = 1575
x = 7
Therefore it would take 7 months before he can buy a computer
Derek can carry 65% of his weight in
his backpack while camping. If his
backpack weighs 88.4 pounds, how
much does Derek weigh?
PLZ ASAP!!!!! THANK YOU!!
Which expressions are equivalent to 2^5/6^5?
A 1/3
B 3^-5
C (-4)^-5
D 2^5 *6^-5
Answer:
Option B and D
Step-by-step explanation:
2^5/6^5
2x2x2x2x2/6x6x6x6x6
1/3^5 [after canceling]
3^-5
Also
2^5x6^-5
I need help ASAP pleaseeeeeeee
Answer:
1 / 5^11
Step-by-step explanation:
5^ -6 * 5 ^ -5
We know that a^ b * a^ c = a^( b+c)
5^ ( -5+-5)
5^ -11
We also know that
a^-b = 1/ a^b
1 / 5^11
Answer:
1/5^11
Step-by-step explanation:
5^-6 * 5^-5
5^-6+(-5)
5^-6-5
5^-11
1/5^11
Note : In multiplication if the bases are same then u can add their exponent and when the base have ngative exponent just do it's reciprocal.Then u the base will have positive exponent.
The sum of three consecutive multiples of 9 is 567.
One of these multiples is
how does the graph of g(x)=3(2)^x -5 compare to the graph of g(x)=2^x
Answer:
Step-by-step explanation:
The graph of g(x)=3(2)^x -5 is vertically stretched as compared with that of h(x) = 2^x. Also, the graph of g(x)=3(2)^x -5 has been translated downward by 5 units.
To obtain the graph of g(x)=3(2)^x -5, we start by graphing g(x)= 2^x, whose y-intercept is (0, 1). We then stretch this new graph vertically by a factor of 3; the y-intercept becomes (0, 3). Finally, we translate the entire new graph downward 5 units.
Marc's living room is a rectangle that measures 32 feet long by 35 feet wide. What is the area of the living room?
Answer:
1,120 square feet
Step-by-step explanation:
Area of a rectangle = length × width
Length = 32 feet
Width = 35 feet
Area of a rectangle = length × width
= 32 feet × 35 feet
= 1,120 square feet
Therefore,
Area of the rectangular living room = 1,120 square feet
Which are the solutions of the quadratic equation?
x2 = 9x + 6
StartFraction negative 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 105 EndRoot Over 2 EndFraction
StartFraction negative 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction negative 9 + StartRoot 57 EndRoot Over 2 EndFraction
StartFraction 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 105 EndRoot Over 2 EndFraction
StartFraction 9 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 57 EndRoot Over 2 EndFraction
Please help, I've been doing math since the time I woke up, with no breaks. I'm brain dead rn. It's all timed.
I'll mark brainliest for the best answer.
if sin theta < 0 and tan theta < 0 then:
Answer:
D. 270º < x < 360º
Step-by-step explanation:
sin is negative in Quad III and IV
tan is negative in Quad II and IV
Therefor ∅ is in Qaud IV
270º < x < 360º
Please help I’ll give brainliest
b is correct Step-by-step explanation: i took the test
Answer:
There are 6 significant figures in the numbers 1.00421
Step-by-step explanation:
Since 1.00421 starts with 1, we count from 1 to all the numbers to the right.
Hope this help
Pls mark me brainliest.
Find the volume
I’ll mark brainliest
Answer: 25.13 m
Step-by-step explanation: pi x 2^2x 6= 25.13
3
This is an approximate number but it should be correct
:)
Which equation can be used to solve a - 5 = 30?A. a = 30 - 5 B. a = 30 + 5 C a = 30 + 5 = 5 D a = 30.5
Which equation can be used to solve a - 5 = 30
answer= a=30+5
HOPE THIS HELPS YOU......
What is the value of z for the equation 1/2 z = - 3/4 + 1/4 ? (5 points)
Answer:
z = -1
Step-by-step explanation:
Directions: Solve for X Round your answer to the nearest tenth. Make sure you calculator
is in degree model
12
Answer:
36.87
Step-by-step explanation:
Using tan inverse of 9 over 12
Answer:
x ≈ 36.9°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{12}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 36.9° ( to the nearest tenth )
Triangles PQR and PST are similar to each other. Find the scale factor from the figure.
2
3
4
1.5
2+3=5 and 4+1.5=2SO BY ADDIDING IS 9
URGENT HELP NEEDED!!!!!
Find the simple interest earned at the end of 1 year. Show your calculations as best as possible (1 mark) correct answer (1mark) P = $1800 R = 5% T = 1 year
What is the total amount earned at the end of 3 years? P = $2600 R = 12% T = 3 years
1 point
$936
$3 536
$93 600
Both A and B
What principal would give an interest of $36 in 3 years at 3% p.a.? Show your calculations as best as possible (1 mark) correct answer (1mark)
In how many years will $600 double itself at 10% simple interest?
1 point
8 years and 4 months
8 years and 1/3
100 Months
All of the above
Both A and B
In what time will $400 amount to $512 if the simple interest is the calculated at 14% p.a.? Write your answer
Imagine you have a friend who doesn't quite understand what investing money into a bank means. Think of a financial situation and use the following words and numbers to help teach them. (principal $1200, interest earned, interest rate 4%, total amount, term, per anum). This is worth 8 marks.
Answer:
k
Step-by-step explanation:
hola regalo puntos corona para el que conteste primero
nooooooooooooooooooooooooo
Welp… Umh okay :D
It needed more characters…
Let a = -4.82 and b = 4.35. All of the following statements are true except
The sum of a and b is negative.
The product of a and - b is positive.
The quotient of a and - b is the same as the quotient of - a and b.
The distance between a and b on the number line is 0.47 units.
Answer:
the sum of -4.82 and 4.35 = -0.47
so a is correct
the product of -4.82 and 4.35 = -20.967
so b is incorrect
the quotient of -4.82 and -4.35 is 1.10804597701
the quotient of 4.82 and 4.35 is 1.10804597701
so c is correct
if we subtract 4.35 from -4.82 we get -9.17
so d is incorrect
Hope This Helps!!!
The approximate distance between K and L is units. The approximate distance between L and J is units. If you join all three points, then the perimeter of the triangle created is approximately units.
Answer:
The answer is below
Step-by-step explanation:
The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:
[tex]AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]
Point J is at (-3, 3), point K is at (4, 3) and point L is at (1, -1). Hence:
The distance between K and L = KL = [tex]\sqrt{(-1-3)^2+(1-4)^2} =5\ units[/tex]
The distance between J and L = JL = [tex]\sqrt{(-1-3)^2+(1-(-3))^2} =4\sqrt{2} \ units[/tex]
The distance between K and J = JK = [tex]\sqrt{(3-3)^2+(-3-4)^2} =7\ units[/tex]
Therefore, the perimeter of triangle JKL is:
Perimeter = KL + JL + JK = 5 + 4√2 + 7 = 17.66 units
is the ordered pair a solution of the equation?
y= 3x + 4; (4, 16)
Answer: Yes.
Step-by-step explanation: Plug in your values. Does y=16 when x=4? 16 = 3(4) +4, which equals 16, so yes.
