Answer:
18m tall?
Step-by-step explanation:
Answer:
20 m
Step-by-step explanation:
The scale factor between the two triangles is 1/10 because of how 3/30 is 1/10.
Therefore we can calculate the height of the tree by multiplying the height of the smaller triangle by 10 to find the height of the tree.
2*10 = 20m
A gardener has 60 feet of fencing to keep
animals out of the garden. Find the LARGEST
AREA of garden that this fence will enclose.
Answer:
225 ft^2
Step-by-step explanation:
From what we have in the question, we have 60 ft of fencing
To maximize the area, we will need to have a square
For a square, the length of all sides are equal
Let us call one of the sides s
Thus, from the perimeter of the square;
4s = 60
s = 60/4
s = 15 ft
The area is thus, the product of the side length of the square
15 * 15 = 225 ft^2
negitive 17plus n over 5 =33 what is n
Answer:
250
Step-by-step explanation:
-17+n/5=33
n/5=33-(-17)
n/5=33+17
n/5=50
n=50*5
n=250
n=182
Step by Step Explanation:
The equation we would start out with is:
[tex] \frac{ - 17 + n}{5} = 33[/tex]
From here, we need to multiply both sides by 5. This would create an equation of -17+n=165, as we canceled out the 5.
Then, you need to add 17 to both sides to isolate the variable. This would make the equation n=182, our final answer.
Aiku has one piece of rope that is 45 centimeters long and another that is 367 centimeters long.
How many meters of rope does Aiku have in all?
0.0412 m
0.412 m
4.12 m
41.2 m
Answer:
the 3rd one.
Step-by-step explanation:
Option D is correct, Aiku has a total of 4.12 meters of rope in all.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To find the total length of the rope in meters, we need to convert the lengths of the two ropes from centimeters to meters and then add them together.
The length of the first rope is 45 centimeters, which is equal to 0.45 meters (since 1 meter = 100 centimeters).
The length of the second rope is 367 centimeters, which is equal to 3.67 meters.
Adding these two lengths together, we get:
0.45 meters + 3.67 meters = 4.12 meters
Therefore, Aiku has a total of 4.12 meters of rope in all.
To learn more on Equation:
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Plz, HELP me with this question!
Answer:
2/3
Step-by-step explanation:
There is a 2 in 3 chance the pointer will not land on c or d.
PLEASE HELP!!!!!!!!!!!! VOLUME OF A CONE!!!!!!
Hi! Your answer is 125/3 π
Please see an explanation for a clear understanding to the problem.
Any questions about the answer/explanation can be asked through comments! :)
Step-by-step explanation:
For this problem, I'll be demonstrating two methods to solve your problem which are Integration method and Formula method. Let's start with Formula method first!
Formula Method
Volume of Cone Formula
[tex]V=\huge{\frac{1}{3}\pi r^2h}[/tex]
r is a radius. Therefore, r² is a diameter.
h is height of cone.
Our r is 5. Therefore, 5² = 25.
Our h is 5.
Substitute these values in the equation.
[tex]V=\huge{\frac{1}{3}\pi (5)^2(5)}\\V=\huge{\frac{1}{3}\pi (25)(5)} \\V=\huge{\frac{1}{3}\pi (125)}\\V=\huge{\frac{125}{3}\pi}[/tex]
Hence, the volume of a cone is 125/3 pi. If you want in Mixed Number form then It'd be 41 and 2/3 pi [ 41 2/3 pi]
Integration Method - Proof
Let r':r = x:h
Therefore,
[tex]\huge{\frac{r'}{r}=\frac{x}{h}}\\\huge{r'=\frac{x}{h}r[/tex]
r and h both are same (r is still radius while h is still height)
[tex]\huge{S(x)=\pi(r')^2[/tex]
The reason why we add pi because the surface is a circle. If the surface is not a circle, we don't add pi.
[tex]\huge{S(x)=\pi(\frac{x}{h}r)^2}\\\huge{S(x)=\pi(\frac{x^2r^2}{h^2})}\\\huge{S(x)=\frac{\pi r^2}{h^2}x^2}\\[/tex]
The range starts from 0 ≤ x ≤ h
[tex]\huge{V=\int\limits^h_0 {S(x)} \, dx[/tex]
Substitute S(x) in.
[tex]\huge{V=\int\limits^h_0 {\frac{\pi r^2}{h^2}x^2 } \, dx[/tex]
Integrate, separate everything in the integrand out except for x^2
[tex]\huge{V=\frac{\pi r^2}{h^2} \int\limits^h_0 {x^2} \, dx}\\\huge{V=\frac{\pi r^2}{h^2}[\frac{1}{3}x^3]^h__0}}\\\huge{V=\frac{\pi r^2}{h^2}[\frac{1}{3}h^3]}\\\huge{V=\pi r^2[\frac{1}{3}h]}\\\huge{V=\frac{1}{3}\pi r^2h}[/tex]
As you notice, Integration method is pretty useful, but it's mostly for an advanced volume lesson only.
Integration Method - Problem Solving
Let r':r = x:h
r is given as 5
h is given as 5 as well.
Therefore, r':5 = x:5
[tex]\huge{\frac{r'}{5}=\frac{x}{5}}\\\huge{r'=\frac{x}{5}(5)}\\r'=x[/tex]
[tex]\huge{S(x)=\pi(r')^2}\\\huge{S(x)=\pi(x^2)}\\\huge{S(x)=\pi x^2}[/tex]
The range of volume starts from surface to height. Therefore the range is 0 ≤ x ≤ 5
[tex]\huge{V=\int\limits^5_0 {S(x)} \, dx }\\\huge{V=\int\limits^5_0 {\pi x^2} \, dx }\\\huge{V=\pi\int\limits^5_0 {x^2} \, dx }\\\huge{V=\pi[\frac{1}{3}x^3]^5__0}}\\\huge{V=\pi[(\frac{1}{3}(5)^3-\frac{1}{3}(0)^3]}\\\huge{V=\pi[(\frac{1}{3}(125)-0)]}\\ \huge{V=\pi[(\frac{1}{3}(125)]}\\\huge{V=\pi(\frac{125}{3})}\\\huge{V=\frac{125}{3}\pi}[/tex]
Notice that both methods have same answer. Hence, we can conclude that the volume of a cone is 125/3 pi units²
Unit test, Part 2: Measurement of Two-Dimensional Figures Please help!!!
Answer:
Step-by-step explanation:
1. Area of the composite figure = Area of the sector + Area of rectangle
Area of sector = (θ/ 360) x [tex]\pi[/tex][tex]r^{2}[/tex]
From the figure,
θ = 30, and r = 65
Area of sector = [tex]\frac{30}{360}[/tex] x [tex]\frac{22}{7}[/tex] x 65 x 65
= 1 1065.55[tex]m^{2}[/tex]
Area of rectangle = length x width
= 65 x 4
= 260 [tex]m^{2}[/tex]
Area of the composite figure = 1 1065.55 + 260
= 11325.55
Area of the composite figure is 11326 [tex]m^{2}[/tex].
2.
Circle sector is a section of a disk encompassed by two radii and an arc. The area of the composite figure is 29.9194 m².
What is a sector of a circle?A circular sector, also known as a circle sector or a disk sector, is a section of a disk encompassed by two radii and an arc, with the minor sector being smaller and the main sector being bigger.
[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]
The area of the composite figure is the sum of the area of the sector of the circle and the area of the rectangle.
The area of the sector of the circle whose angle at the centre of the circle is 30°, while the radius of the circle is the length of the reactangle which is 5.5 cm.
[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]
[tex]= \pi (5.5)^2 \times \dfrac{30}{360^o}\\\\=7.9194\rm\ m^2[/tex]
Thus, the area of the sector of the circle is 7.9194 m².
The area of the reactangle whose length is 5.5 inches while the width is 4 m.
[tex]\rm \text{Area of the rectangle} = Length \times width[/tex]
[tex]= 5.5 \times 4\\\\= 22\rm\ m^2[/tex]
Thus, the area of the rectangle is 22 m².
Now, the total area of the composite figure can be written as,
Area of the composite figure = Area of the sector of circle+Area of rectangle
Area of the composite figure = 7.9194 +22 = 29.9194 m²
Hence, the area of the composite figure is 29.9194 m².
Learn more about Sector of Circle:
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In triangle XYZ, the measure of angle YXZ is 14.5*, and the measure of angle XYZ is 75. What is the measure of
angle XZY in degrees? (6.8A)
How many perpendicular bisectors are required to be constructed to devide a line segment into four equal parts?
Answer:
Three perpendicular bisectors are required
Step-by-step explanation:
A perpendicular bisector of a line segment is a line that cuts the line segment at a 90° angle, dividing it into two equal halves.
In this example, one bisector produces two equal parts of the segment
two bisectors produce three segments and three bisectors, four segments as shown in the diagram.
Perpendicular bisectors are constructed using a compass and a pencil, you can check out how to construct one, it is pretty interesting.
who wants to help me??
Answer:
Function 1 is negative with a slope of -5 and Function 2 is positive with a slope of 3.
Step-by-step explanation:
Slope Formula: (y2 - y1)/(x2 - x1)
Function 1: m = -2 - (-12) / 1 - 3
m = 10 / -2
m = 5 / -1
m = -5
Function 2: m = 3/1
m = 3
While in Manchester, England, Jaslene bought a sweater for £28(GBP). When she returned,
she saw the same sweater for $38CAD. Which sweater cost more? By how much in Canadian
dollars?
Answer:
The Manchester, England sweater is more expensive.
27 GBP is equal to 49.52 CAD, which is more than the 38 CAD from the afterwards.
Step-by-step explanation:
Which of the following situations can be represented by
C = 10 + 0.44n?
Your answer:
A. The total cost at the grocery store for a cake that cost $10 and n bananas that cost $0.44 each.
B. The total cost of 10 soft drinks that cost $0.44 each.
C. The height of a plant after n days that was 10 centimeters tall and it grew 4.4 milimeters a day.
D. Not here
Answer:
A and C
Step-by-step explanation:
DESPERATELY NEED HELP I WILL GIVE BRIANLYNESTTT
Answer:
7
Step-by-step explanation:
its 7
Answer:
slope Formula = y^2-y^1/x^2+x^1
Step-by-step explanation:
now,
[tex]10 - 3 \div 6 - 5 [/tex]
[tex]7 \div 1[/tex]
[tex] = 7[/tex]
Ty raised $84 to support the animal shelter, which is 30% of his fundraising goal. What is Ty's fundraising goal?
Which of the following represents the area of the shaded region in the figure above?
∫dcf(y)dy
the integral from c to d of f y d y
A
∫ba(d−f(x))dx
the integral from A to b of open paren d minus f of x close paren, dx
B
f′(b)−f′(a)
f prime times b minus f prime times A
C
(b−a)[f(b)−f(a)]
open paren b minus A close paren times open bracket f of b minus f of A close bracket
D
(d−c)[f(b)−f(a)]
It's B isn't it? If this is the question I'm thinking of. No image here so I'm just guessing.
Breanna currently has a 75 on her homework assignments. Her teacher will
give her 5 additional points for every extra credit assignment she
completes
Help ASAP! Question 12 points)
05.02 MC
The angles below are supplementary. What is the value of x? (5 points)
5
7.5
15
30
Answer:
D
Step-by-step explanation:
supplementary means two angles that there sum will be 180. and 30 x 4 = 120 + 20 = 140 and if you add the other angle 40 that's 180.
How much money will Adriano’s online business earn this month
What is the radius of this circle?
The radius of the circle is 3
PLS HELP I WILL GIVE BRIANLY
A box has a certain number of blue,white,red and yellow marbles. 2/5 of the marbles are blue. The number of white, red and yellow marbles in the box are equal. Which of the following could be the number of marbles in the box?
what is the question again?
Maria is 12 years older than Jose. In 9 years Maria will be twice as old as Jose.
How old are they now?
Answer
This question has multiple answers to narrow it down to one we need to know how old is Maria.
Step-by-step explanation:
25% of the tickets sold at a water park were child tickets. If the park sold 92 tickets in all,
how many child tickets did it sell?
Please help. Cesium-137 has a half-life of 30 years. Identify the amount of cesium-137 left from 150 milligram sample after 120 years.
1.325 mg
0.9375 mg
9.3750 mg
1.097 mg
Answer:
1.325 mg
have a good day :)
Answer:
9.3750 mg
Step-by-step explanation:
PLEESSSE HELP ASAP !!!! WILLL GET BRAINLIEST
Answer:
B
Step-by-step explanation:
B/ y - 4 = 4/3(x - 6)
Today only, a table is being sold at a 32% discount. The sale price is $357.
What was the price yesterday?
Answer:
Step-by-step explanation:
(1-0.32)p=357
0.68p=357
p=$525
Answer:
471.24
Step-by-step explanation:
First you want to find 32% of 357, which is 114.24. Then you want to add that onto 357. Hope this helps!
can someone pls help it’s rate of change and i only need to do all of the evens. it’s due in an hour
Answer: I wasn't sure if number 18 was 350.00 but that's what I put down to do the problem hope I'm not too late.
9. $72.45
10. $15.52
11. $30.69
12. $48.95
13. $6.39
14. $67.6
15. $18.02
16. $51.6
17. $11.25
18. $175.00
19. $3.20
20. $10.00
21. $31.25
22. $45.90
Step-by-step explanation:
Will give brainliest
Answer:
AC = 4.7 feet
Step-by-step explanation:
cos 20° = x
5
5 · cos 20° = x
4.7 = x
PLEASE HELP ME SOLVE THIS PROBLEM ASAP
Answer:
r = 1
Step-by-step explanation:
At the end of the year, cars made in the current year are marked down to make room for
next year's models. One particular model had a sticker price of $45,160 when it was new. It
has just been marked down by 5%. What is the sale price of the vehicle?
Answer:
The sale price of the vehicle is $36885
Step-by-step explanation:
One particular model had a sticker price of $49,180 when it was new. This means that the initial cost of the car was $49,180. It has just been marked down by 25%. This means the initial price of the car was reduced by an amount. The amount by which the initial price of the car was reduced would be
25/100 × 49180 = 0.25 × 49180 = $12295.
The sale price of the vehicle would be
49180 - 12295 = $36885
solve for x and y pls
PLSSS HELP MEE SHOW UR WORK!!
Answer:
(-3, 13)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = -4x + 1
11y = x + 146
Step 2: Solve for x
Substitution
Substitute in y: 11(-4x + 1) = x + 146Distribute 11: -44x + 11 = x + 146[Addition Property of Equality] Add 44x on both sides: 11 = 45x + 146[Subtraction Property of Equality] Subtract 146 on both sides: -135 = 45x[Division Property of Equality] Divide 45 on both sides: -3 = xRewrite/Rearrange: x = -3Step 3: Solve for y
Define original equation: y = -4x + 1Substitute in x: y = -4(-3) + 1Multiply: y = 12 + 1Add: y = 13