Now
[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{22}{H}=sin77[/tex]
[tex]\\ \rm\Rrightarrow H=22/sin77[/tex]
[tex]\\ \rm\Rrightarrow H=22.59ft\approx 23ft[/tex]
The length of the extension ladder that is against the outside wall of the house is 22.58 feet.
What is the length of the ladder?When the ladder lies against a house, a right triangle is formed. The length of the ladder is the hypotenuse. The distance from the base of the ladder to the house is the base. The lenfth off the house is the length.
To find the length of the ladder, Sin would be used:
Sin = opposite / hypotenuse
Sin 77 = 22 / h
h = 22 / 0.9743 = 22.58 feet
To learn more about trigonometry, please check: https://brainly.com/question/22782564
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Work out
92.6
% of
103.93
km
Give your answer rounded to 2 DP. HURRY
92.6% of 103.93km
solution:Our output value is 103.93.
let's represent the unknown as x.
103.93=100%
Similarly, x=92.6%
103.93= 100% (1)
x= 92.6% (2)
By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of bothequations have the same unit (%); we get:
103.93/x = 100%/ 92.6%
the reciprocal of both sides gives:
x/ 103.92 = 92.6/100
= 96.23918
2 dp= 96.24
so 92.6% of 103.93km is 96.24 when rounded to 2 decimal place.
Answer:
96.24 km
Step-by-step explanation:
To Find :
92.6% of 103.93 kmSolving :
% to decimal = ÷ by 10092.6% = 0.926⇒ -.926 x 103.93⇒ 96.23918⇒ 96.24 km (In 2 decimal places)Write the statements of the following algebraic expressions!
A- a+1
B- q-9
C- 3y+7
D- x/3+9
E- 3x+10
Answer:
See below ↓↓↓↓↓
Step-by-step explanation:
A - the sum of a number 'a' and 1B - the difference between a number 'q' and 9C - 7 plus the product of a number 'y' and 3D - 9 plus the quotient of a number 'x' and 3E - 10 plus the product of a number 'x' and 3= 1 more than a number (a)
B- q-9= q less than 9
C- 3y+7= 3 times y added to 7
D- x/3+9= a number (x) divided by 3 more than 9
E- 3x+10= 3 times x added to 10
find 60% of 40 gallons.
Hey there!
60% of 40
= 60% * 40
= 60/100 * 40
= 60 ÷ 20 / 100 ÷ 20 * 40
= 3/5 * 40
= 3/5 * 40/1
= 3(40) / 5(1)
= 120 / 5
= 120 ÷ 5 / 5 ÷ 5
= 24/1
= 24 ÷ 1
= 24
Therefore, your answer is: 24
Good luck on assignment & your day day!
~Amphitrite1040:)
3. Solve the inequality and graph the solutions.
-5x < 15
Answer:
[tex]\boxed{{x} > -3}[/tex]
Step-by-step explanation:
Given inequality:
[tex]-5x < 15[/tex]To solve this inequality, we need to isolate the variable on one side and the constant on the other. To do this, we can divide both sides by -5.
[tex]\rightarrowtail -5x < 15[/tex]
[tex]\rightarrowtail \dfrac{-5x}{-5} < \dfrac{15}{-5}[/tex]
[tex]\rightarrowtail x < \dfrac{15}{-5}[/tex]
Note: If we are dividing both sides by a negative integer, the sign changes.
[tex]\rightarrowtail {x} > \dfrac{15}{-5}[/tex]
To simplify 15/-5, we can multiply -1 to the numerators and the denominators. As a result, the negative sign should transfer to the numerator, as when two negative integers multiply each other, the result is a positive integer.
[tex]\rightarrowtail {x} > \dfrac{15}{-5} \times \dfrac{-1}{-1}[/tex]
[tex]\rightarrowtail {x} > \dfrac{-15}{5}[/tex]
[tex]\rightarrowtail \boxed{{x} > -3}[/tex]
Graph:[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-5x < 15}\\\\\large\text{DIVIDE -5 to BOTH SIDES}\\\\\mathsf{\dfrac{-5x}{-5} < \dfrac{15}{-5}}\\\\\large\text{SIMPLIFY IT!}\\\\\mathsf{x > -3}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x > -3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
INSECT CONTROL Mr. Malone used 40 pounds of insecticide to cover 1,760 square feet of lawn and 60 pounds to cover an additional 2,640 square feet. How many pounds of insecticide would Mr. Malone need to cover his whole lawn of 4,480 square feet
Answer:
101.8 lb
Step-by-step explanation:
1760 sq ft are covered by 40 lb
4480 sq ft are covered by x
1760/40 = 4480/x
1760x = 40 × 4480
x = 179,200/1760
x = 101.818181...
Answer: 101.8 lb
Hi please help me out I’m really struggling with geometry rn and I can’t afford to buy the tutor thing
Alright let's solve this problem step by step:
Question 1: Find the perimeterDefinition of Perimeter: basically all the side lengths added upThe figure is made up triangles
⇒ however, we do not know the slanted line that goes from the tip to
the edge of the base.
⇒ we can use the Pythagorean Theorem to help us
[tex]2^2 + (5.7)^2 = slanted-line^2\\slanted-line = 6.04[/tex]
Perimeter = 6.04 + 6.04 + 6.04 + 6.04 + 6.04 + 4 + 4 + 4 + 4 + 4
= 50.2 inches
Question 2: Find the slant heightDefinition of Slant height: is the distance measured along a lateral face from the base to the tip along the "center" of the face.
*look at image attached to better understand this definition
⇒ Slant height = 5.7inches
Question 3: Find the Lateral AreaDefinition of Lateral Area: area of the non-base faces only
Lateral Area = 5 * (Area of Triangle Faces)
= [tex]5 *(\frac{1}{2} *5.7 * 4) = 5*2*5.7 = 5 * 11.4[/tex]
= 57 in^2
Hope that helps!
find the circumference
Answer:
18πm
Step-by-step explanation:
The area is πr^, so to find just the radius, take the square root of 81.
This means the radius is 9, and because the formula for the circumference is 2πr, simply double it and multiply by π to get 18π.
If you found this helpful, I would appreciate if you gave me the brainliest award :D
A triangle has sides with lengths of 9 miles, 12 miles, and 15 miles. Is it a right triangle?
Answer:
The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.
Step-by-step explanation:
15² = 9² + 12²
225 = 81 + 144
225 = 225
so it is an right angled triangle....
( using : if the sum of the squares of the smaller two sides is equal to the square of the largest side, then the traingle is a right triangle.)
( Find the Mean Absolute Deviation and the Mean )
How many siblings do the students in my math class have?
3,2,2,5,4,1,3,4,1,0,3,2,1,1,6,3
Answer:
Mean Absolute Deviation (MAD): 1.3125
Mean: 2.5625
Step-by-step explanation:
.
Find the lateral surface area of this rectangular prism in centimeters. refer to your staar 8th grade math reference sheet for the appropriate formula. question 2 options: 28 cm2 36 cm2 42 cm2 48 cm2
The lateral surface area of a rectangular prism has length, breadth, and height is 3cm, 3cm, and 2cm is 36cm sq.
What is the lateral surface area of this rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The lateral surface area of this rectangular prism = 2( l + b) h
It is given that length, breadth and height are 3cm, 3cm and 2cm.
The lateral surface area of this rectangular prism = 2( l + b) h
= 2 (3+3) 2
= 4 × 9
= 36cm sq.
Hence, the lateral surface area of this rectangular prism is 36cm sq.
Learn more about prism;
brainly.com/question/1601740
Answer:
39 ig
Step-by-step explanation:
Can, you help me thanks. <3
Answer:
I think the 1st one is the answer
Step-by-step explanation:
if it helpful to you give me a brainliest
Which of the following addition problems yields a sum that is an irrational number? Select TWO that apply. (answers in picture)
Answer:
probably the answer to the following question is B and C I hove this helps because this numbers cannot be fraction only decimal
Help me quickly!!
Brainliest + 50 points
No spammers allowed
Thanks in advance
:) :)
Answer:
x = 5
Step-by-step explanation:
Given coordinates: (3, 4) (x, 6)
Slope: 1
Use the slope formula to find the value of x:
Slope = y2 - y1 / x2 - x1
Substitute the given information into the formula:
1 = [tex]\frac{6-4}{x-3}[/tex]
1 = [tex]\frac{2}{x-3}[/tex]
Multiply both sides of the equation by the common denominator:
[tex]\frac{2(x-3)}{x-3} = x-3[/tex]
Reduce the fraction:
2 = x - 3
Rearrange variables to the left side of the equation:
-x = -3 - 2
Calculate:
-x = -5
Divide both sides with the coefficient of the variable:
x = 5
hope this helps!! p.s. i really need brainliest :)
Answer:
x = 5
Step-by-step explanation:
Slope formula
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\sf let\:(x_1,y_1)=(3,4)[/tex]
[tex]\sf let\:(x_2,y_2)=(x,6)[/tex]
[tex]\sf \implies slope=\dfrac{6-4}{x-3}=\dfrac{2}{x-3}[/tex]
As the slope equals 1:
[tex]\begin{aligned}\sf \implies \dfrac{2}{x-3} & =1\\\sf 2 & =\sf x-3\\ \sf 2+3 & =\sf x\\ \sf x & = \sf 5\end{aligned}[/tex]
Therefore, x = 5
Please Help Me!!
The price of a loaf of a particular type of bread increased from $3.70 to $5.59 from 2011 to 2021. What was the percent increase in the price of the loaf of bread over those 10 years? Round your answer to the nearest tenth of a percent.
The price of the loaf of bread over the 10 years was_____%(round to the nearest tenth of a percent.)
Answer:
51.1% to the nearest tenth.
Step-by-step explanation:
Increase = 5.59 - 3.70 = $1.89.
% increase = (1.89/3.70) + 100
= 51.08%
Is FGH ~ JKL? If so, identify the similarity postulate or theorem that applies.
Answer:
It is similar by AA
Step-by-step explanation:
AA stands for angle-angle. In similar figures, angles are congruent, and the sides are proportional. the corresponding angles are the same. Hope this helps!
9. A bacteria population, , can be represented by the equation p= 100,000 times(1/4)^d,
where d is the number of days since it was measured.
a. What was the population 3 days before it was measured? Explain how you
know.
b. What is the last day when the population was more than 1,000,000? Explain how
you know.
#1
3days back means 3Put it
[tex]\\ \rm\Rrightarrow p=100000(0.25)^{3}[/tex]
[tex]\\ \rm\Rrightarrow p=100000(0.015625)[/tex]
[tex]\\ \rm\Rrightarrow p=1562.5[/tex]
Now
#2
Let's see
[tex]\\ \rm\Rrightarrow 100000(0.25)^d=1000000[/tex]
[tex]\\ \rm\Rrightarrow 0.25^d=10[/tex]
[tex]\\ \rm\Rrightarrow ln0.25^d=ln10[/tex]
[tex]\\ \rm\Rrightarrow dln0.25=2.3[/tex]
[tex]\\ \rm\Rrightarrow d(-1.39)=2.3[/tex]
[tex]\\ \rm\Rrightarrow d=-1.654[/tex]
Write a formula for function h in terms of function f.
h(x)=
Answer:
h(x) = f(x + 12) - 4Step-by-step explanation:
According to the graph, the function h(x) is the translation of the function f(x) to the right and down.
Compare the coordinates of the vertices to write the formula
(- 6, 11) → (6, 7)x = 6 - (-6) = 12y = 7 - 11 = - 4The formula is
h(x) = f(x + 12) - 4Answer:
h(x) = f(x - 12) - 4
Step-by-step explanation:
The vertex is the turning point (stationary point or minima/maxima) of the graph.
To find the series of translations that transform the graph of y = f(x) onto y = h(x), compare the vertices of both graphs.
Vertices of given functions:
Vertex of f(x) = (-6, 11)Vertex of h(x) = (6, 7)Differences
x-values: 6 - (-6) = 12y-values: 7 - 11 = -4Therefore, y = f(x) has been:
translated 12 units righttranslated 4 units downTranslations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Therefore:
f(x) translated 12 units right = f(x - 12)f(x - 12) translated 4 units down = f(x - 12) - 4So the formula for h(x) in terms of f(x) is:
h(x) = f(x - 12) - 4
Learn more about transformations here:
brainly.com/question/27845947
Find the slope of the line that passes through the following points. Write "undefined" if there is no slope. (-8, -3) (-8, -2) Write your answer as a fraction if needed.
Answer:
undefined
Step-by-step explanation:
Given points: (-8, -3) and (-8, -2)
As the x-value of both points is the same, there is no slope.
Therefore, the line that passes through the two given points is a vertical line at [tex]x=-8[/tex]
Proof[tex]\textsf{let}\:(x_1,y_1)=(-8,-3)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(-8,-2)[/tex]
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-(-3)}{-8-(-8)}=\dfrac{1}{0}[/tex]
Any number divided by zero is undefined.
What is the difference between 3/4 and 1 1/2
Answer:
3
Step-by-step explanation:11/2 = to 6/2 so the diffrence is 3 im geussing
In order to be successful in taking math exams, what are some important test taking strategies?
Answer:
Hope this helps =)
Step-by-step explanation:
Read the questions carefullyBookmark questions you don't know or are unsure aboutStudy before the day of the testGet enough sleep the day before the testEat a good breakfast the day of the testRecheck problemsWork it outA cylinder has a radius of 3 ft and a height of 5 ft. Find the volume
Question :-
A Cylinder has a Radius of 3 Ft and a Height of 5 Ft . Find the Volume .Answer :-
Volume of Cylinder is 141.42 Ft³ .Explanation :-
As per the provided information in the given question, we have been given that the Radius of the Cylinder is 3 Ft . The Height is given as 5 Ft . And, we have been asked to calculate the Volume of Cylinder .
For calculating the Volume , we will use the Formula :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi {r}^{2}h \: }} [/tex]
Where ,
R denotes to RadiusH denotes to HeightTherefore , by Substituting the given values in the above Formula :-
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \pi {r}^{2}h } [/tex]
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22}{7} \: \times \: ({3})^{2} \: \times \: 5 } \\ [/tex]
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22}{7} \: \times \: 9 \: \times \: 5 } \\ [/tex]
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22\: \times \: 9 \: \times \: 5 }{7}} \\ [/tex]
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac { \: 990 \: }{7}} \\ [/tex]
[tex] \Longrightarrow \: \: \: \bf { Volume \: _{Cylinder} \: = \: 141.42 } [/tex]
Hence :-
Volume of Cylinder = 141.42 Ft³ .[tex] \underline {\rule {180pt}{4pt}} [/tex]
Answer:
Volume of cylinder is 141.3 ft³ ( Taking value of π as 3.14 )
Step-by-step explanation:
Question : -A cylinder has a radius of 3 ft and a height of 5 ft. Find the volume .
Given : - Radius of cylinder = 3 ftHeight of cylinder = 5 ft To Find : -We have to , volume of Cylinder .
Formula Used : -[tex] \boxed{ \sf{Volume \: of \: Cylinder = \pi r {}^{2} h }}[/tex]
Where ,
π = 3.14r = radius of cylinderh = height of cylinder Solution : -[tex] \longrightarrow \: \pi r {}^{2} h[/tex]
Now , substituting values of radius and height :
[tex]\longrightarrow \: 3.14 \times (3) {}^{2} \times 5[/tex]
Now , calculating :
[tex] \longrightarrow 3.14 \times 9 \times5 [/tex]
Firstly , multiplying 9 and 5 :
[tex]\longrightarrow \: 3.14 \times 45[/tex]
Atlast , multiplying 3.14 and 45 :
[tex] \longrightarrow \: \bold{ 141.3}[/tex]
[tex] \red{ \boxed{ \rm{Therefore , \: volume \: of \: cylinder \: is \: 141.3 \: ft {}^{3} }}}[/tex]
#Keep LearningA. Determine the number of diagonals that can be drawn in each polygon.
1. Triangle
2. Pentagon
3. 15-sided polygon
4. 18-sided polygon
Answer:
Here is your answer...
Step-by-step explanation:
1. Triangle = 0
2. Pentagon = 5
3. 15-sided polygon = 90
4. 18-sided polygon = 135
Mr. warren has a bag of nails assorted lengths. he asks his sons paul and tim to sort them by length. paul pours 3/4 of the bag of nails out and sorts them. he makes a chart showing the number of nails of each length.
later, Tim sorts the rest of the nails approximately how many 1-inch nails can tim expect to find in the rest of the nails? 100 pts
Answer:
Step-by-step explanation:
he has 1/4 remaining as he has only used 3/4
Ursula is starting a new national network of science fiction book clubs. The establishment and expansion of the network is as follows. The original network began with eight people in each club and four clubs in each of two states. Every month, the number of people in each club increases by two and the number of clubs in each state grows by one. The number of states where the groups exist also increases by one every month. The total number of people in the network of book clubs is represented by the expression below, where x is the number of months since the clubs were established.
Using derivatives, it is found that the correct option is given by:
A. The expression 2x² + 20x + 32 represents the average rate of increase in the total number of clubs in the network across all states.
What is the meaning of the derivative of a function?It is the rate of change of the function over a period of time.
In this problem, the total number of people in the book club after x months is given by:
f(x) = 2x³ + 20x² + 64x + 64
The derivative is given by:
f'(x) = 4x² + 40x + 64 = 2(2x² + 20x² + 32).
It represents the average rate of change across all states, hence option A is correct.
More can be learned about derivatives at https://brainly.com/question/2256078
#SPJ1
For the curve y=x^4+1, find the gradient of the secant between the point (1, 2) and
the point where x=1.01.
Answer:
4.06.
Step-by-step explanation:
Where x = 1.01, y = (1.01)^4 + 1 = 1.0406 + 1
= 2.0406
So the gradient between (1, 2) and (1.01, 2.0406)
= (2.0406 - 1)/(1.01 - 1)
= 4.06.
Please help. ASAP. This is so confusing.
1. right triangle?
-> c²= g²+b²
c²= 20²+21²
c²= 841
c=V841
c=29
-> triangle BCG is right
2.
cos B= 20/29
tan B= 21/20
sin B= 21/29
sin G= 20/29
cos G= 21/29
tan G= 20/21
NEED HELP ASAP!! 5TH GRADE MATH, WILL GIVE BRAINLIEST!!!
Answer:
14,880: So yes, it will be greater than 12400.
Step-by-step explanation:
Because you can simplify the fraction from 1 1/5 to 6/5, and 6/5 is equal to 1.2, simply multiply 12400 by 1.2, which would get you 14800. In other words, if it was multiplying by a number less than 1.2, then it would be less than 12400.
Hope this helps!
Quadrilateral ABCD is reflected over the x-axis to create A′B′C′D′. What are the coordinates of A'?
Question 8 options:
(2, 4)
(-2, 4)
(4, 5)
(6, 12)
Answer: (2, 4)
Step-by-step explanation: If it is reflected over the x-axis then the coordinates of A is (2, 4)
Find the volume of the rectangular prism. Enter your answer in the box
u will get 50 points don't answer if you don't know
Answer:
151.7 cm^3
Step-by-step explanation:
3.7 x 10 x 4.1 = 151.7
BRAINLIEST? TY!!
Answer:
151.7 cm^3
Step-by-step explanation:
If you didn't know already the volume of a rectangular prism is
length x witdh x height.
Multiply 10x4.1 and you will get 41
Then multiply 41 by 3.7 to get 151.7.
Select the correct answer from each drop-down menu.
Which data set has a greater spread? Why?
Set A: {38, 12, 23, 48, 55, 16, 18}
Set B: {44, 13, 24, 12, 56}
has a greater spread because
.
Reset Next
Answer:
B
Step-by-step explanation:
B because range of set B is more than set A
range B=56-12=44
range A=55-12=43