(Score for Question 2: ___ of 8 points)
2. Find the Perimeter and area of the following shape using correct math
a. Perimeter:
b. Area
Answer:
(a) 33.7 cm
(b) 79.25 cm²
Step-by-step explanation:
(a)
Find the perimeter of the semicircle (circumference ÷ 2).
10 cm is the diameter of the semicircle.
The perimeter of the semicircle
= (10 × 3.14) ÷ 2
= 31.4 ÷ 2
= 15.7 cm
The perimeter of the shape
= 15.7 + 10 + 4 + 4
= 33.7 cm
(b)
Find the area of the circle then divide to 2
The formula of the area of a circle
= πr²
The radius of the circle
= 10 ÷ 2
= 5 cm
The area of the semicircle
= (3.14 × 5²) ÷ 2
= 78.5 ÷ 2
= 39.25 cm²
The area of the rectangle
= 4 × 10
= 40 cm²
The area of the shape
= 39.25 + 40
= 79.25 cm²
can the height of a cylinder be a fraction
Find the solutions of this quadratic.
f(x)=(x-8)(x+4)
Answer:
X=8
X=4
Step-by-step explanation: Those are the solutions.
Hope this helps!!
Show that <1+<2+<3=180, if line l and m are parallels cut by two transversals.
Step-by-step explanation:
Angle 1 2 and 3 are angles that are in a triangle and all the angles in a triangle always add up to 180
so <1 +<2 +<3=180
Hope that helps :)
The length of a side of a cubical box is 45 m.Find its volume
Step-by-step explanation:
Since the box is a cube,
Length = Width = Height = 45m.
Volume of box = Volume of cube
= Length x Width x Height
[tex] = 45 \times 45 \times 45 \\ = 91125 {m}^{3} [/tex]
Write a statement that indicates that the triangles in each pair are congruent. I only need 18, 19, and 22 answered.
Answer:
18- Both these triangles have the same amount of lines on it, meaning they are congruent.
19- Both of the triangles have the same angle measurements and are position the same
22- Angle B and angle G are the exact same angle. Same thing with F and C. H and D.
Step-by-step explanation:
Hope this helps a little :)
Which expression is equivalent to 12(2x - 3y + 4)?
Answer:
24x - 36y + 48
Step-by-step explanation:
12 (2x - 3y + 4)
Distribute the term outside of the parenthesis, multiply each term inside the parenthesis by the term outside of the parenthesis.
(12)(2x) - (12)(3y) + (12)(4)
24x - 36y + 48
Answer:
Step-by-step explanation:
Where are the expressions?
help pleaseeeeeeeee!!!
Answer:
Step-by-step explanation:
you can try the right angled triangle method too but its a little longer.
Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains.
If he has 2 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?
Answer:
20
Step-by-step explanation:
dekameter=10 meters
dekameter*2
20 meters
20/20=1
20 meter long pieces
What is the value of this logarithmic expression?
log, 16 – log, 4
OA.
6
OB.
3.58
O c.
N.
OD.
0.60
Reset
Nel
Answer:
2
Step-by-step explanation:
option c is the correct answer
The required value of the given logarithmic expression log₂ 16 – log₂ 4 is 2. The correct answer would be an option (C).
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
According to the problem, we will use some of the basic logarithmic properties,
The logarithmic expression is given in the question, as follows:
log₂ 16 – log₂ 4
We have to determine the value of the given logarithmic expression.
As per the given question, we have
⇒ log₂ 16 – log₂ 4
⇒ log₂ 2⁴ – log₂ 2²
Using property logₐ(xⁿ) = n logₐx,
⇒ 4 log₂ 2 – 2 log₂ 2
Apply the subtraction operation, and we get
⇒ 2 log₂ 2
⇒ 2 (1)
⇒ 2
Thus, the required value of the given logarithmic expression is 2.
Learn more about the logarithmic properties here:
brainly.com/question/24211708
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rewrite (3x + 2)(x - 3) in standard form
Answer:
3x^2-7x+6
Step-by-step explanation:
Standard from: ax^2+bx+c
(3x+2)(x-3)
We just need to multiply these two binomials together.
When doing multiplication we get:
3x^2-9x+2x-6
3x^2-7x+6
This is in standard form so the answer is 3x^2-7x+6
50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.
I know from the answer key that the answers are x=12
and y=8, but I'm not sure how to get there...
Answer:
y = 8
x = 12
Step-by-step explanation:
Corresponding sides are in proportion when the polygons are similar.
(1) 7/3.5 = 3y/x (2) 7/3.5 = (x + 4)/y
2 = 3y/x 2 = (x + 4)/y
2x = 3y 2y = x + 4
2x - 3y = 0 -x + 2y = 4 Multiply by 2 and add to (1)
-2x + 4y = 8
y = 8 -x + 2(8) = 4
-x + 16 = 4
-x = -12
x = 12
There you go. Hope you can follow.
7th grade math help me pleaseee
Step-by-step explanation:
1. -6u= -29-7
-6u÷-6= -36÷-6
u= 6
2. 6m= -23-1
6m÷6= -24÷6
m=-4
3. 4d=37-5
4d÷4=32÷4
d=8
Answer:
4. -6u+7=-29
-6u=-29-7
-6u=-36
-6u=-36
(divide both sides by-6 )
-6u/-6=-36/-6
u=6.
5. 6m+1=-23
6m=-23-1
6m=-24
divide-24 by 6
m=-4
6. 5+4d=37
4d=37-5
4d=32
divide by 4
d=8
To get the paint color moss green, 2 parts
violet paint is mixed with 3 parts yellow
paint. How many parts yellow paint
should be mixed with 5 parts violet
paint to make moss green paint?
Which expression has the greatest value?
Can some one plz help i really dont wna failll plzzz
LINKS WILL BE REPORTED
after allowing 15% discount on the price of an article and 13% bat was live and the remaining amount in the price of article becomes 13447 find the market price of an article
Answer:
14000
Explaination:
spwithvat = sp without vat + 13% of sp without vat
let, sp without vat be x.
sp with vat= x + 13% of x.
or, 13447 = x + 13/100 × x
or, 1344700 = 113x
or, x= 1344700/113
x = 11900
Let, mp be y.
sp with vat = mp - 15% of mp
or, 11900 = y - 15/100 × y
or, 1190000 = 85y
or, y= 1190000/85
y= 14000
!!!What is the range of the data shown below!!!
will give brainlist
Answer:
The answer is d i believe
Step-by-step explanation:
A right circular cylinder has a base radius of 6 centimeters and a height of 12 centimeters. What is the volume of this cylinder? A. B. C. D.
Answer: [tex]432\pi \text{ cubic centimeters}[/tex] or [tex]1356.48\text{cubic centimeters}[/tex]
Step-by-step explanation:
Volume of right circular cylinder = [tex]\pi r^2 h[/tex]
Given: Radius = 6 centimeters
Height = 12 centimeters
Then, the volume of this cylinder = [tex]\pi (6)^2 \times (12)= 432\pi \text{ cubic centimeters}[/tex]
Hence, the volume of this cylinder = [tex]432\pi \text{ cubic centimeters}[/tex]
At [tex]\pi=3.14[/tex]
The volume of this cylinder[tex]=432\times3.14=1356.48\text{cubic centimeters}[/tex]
Convert the following quadratic equation to standard form:
y= -2(x+3)^2+1
Answer: -2x^2-12x-17
Step-by-step explanation:
-2(x+3)^2+1 Original equation
-2(x^2+3x+3x+9)+1 factor (x+3)(x+3)
-2x^2-12x-18+1 Multiply the factored part by -2
-2x^2-12x-17 Combine like terms
Mrs. Avery is going to randomly select one student from her class to read a poem out loud. There are 151515 boys and 131313 girls in her class.
What is \text{P(boy})P(boy)start text, P, left parenthesis, b, o, y, end text, right parenthesis?
Answer:
53.57%
Step-by-step explanation:
Answer:
53.57%
Step-by-step explanation:
I cant get this answer it has to do with im using circumference and radius, diameter d=3x2=6m. Please help quick!
Answer:
C= 2 πr =18.85 m
Step-by-step explanation:
diameter= d= 6m
Radius = diameter/2= 6/2 = 3m
The circumference can be found by two formulas. One by using diameter and the other by using radius.
C= πd = 6* 3.14= 18.85 m
or
C= 2 πr = 2*3.14*3= 18.85 m
Using both the formulas gives the same answer.
The diameter is the line dividing the circle into half passing through the center.
The radius is half of the diameter or the lines which joins the center to the circumference of the circle.
When he was measuring herbs on his balance scale, Neville placed a 1/2 gram weight, then a 1/5 gram weight, and finally a 1/8 gram weight before the scale balanced. How much did his herbs weigh?
Answer: [tex]\dfrac{33}{40}\ gm[/tex]
Step-by-step explanation:
Given
Neville place three weights in the sequence
[tex]\dfrac{1}{2}\ gm,\dfrac{1}{5}\ gm,\dfrac{1}{8}\ gm[/tex]
The total weight of the three weights is
[tex]\Rightarrow \dfrac{1}{2}+\dfrac{1}{5}+\dfrac{1}{8}=\dfrac{20+8+5}{40}\\\\\Rightarrow \dfrac{33}{40}\ gm[/tex]
Thus, herbs weigh [tex]\frac{33}{40}\ gm[/tex]
RABBIT EXPERTS HELP PLEASE! This is my rabbit Pumpkin. She recently turned a month old last week. For some reason she suddenly started losing a lot of weight and stopped trying to drink milk. As someone who has had experience with baby rabbits before, this is a new thing. My rabbit also recently had new babies. Is it because the lack of milk? If so, I did manage to get the mom while she still had milk but she still won't drink any. I left her alone for a couple days (With the mom obviously) but no progress. I don't want to lose her please give me advice. I checker her spine and ribs they are sticking out a lot she barely has any fat. I tried the vet but they said to leave her with the mom its not working.
Answer:
If its a girl shes probaby getting bigger soon I think i she probably lost her taste in milk
Step-by-step explanation:
Answer:
Cute bunny :)
So I know that domestics are weaned off milk at about 6 weeks, so she could still be drinking, but she also could be weaning. HOWEVER, they should never loose wait during the weaning process. I would try to give her a formula (baby rabbits should be fed Kitten Milk Replacer (KMR) or goat milk, which you can buy at pet stores, or sometimes even a local veterinarian's office. Because rabbit milk is the most caloric of all mammals, we add in one tablespoon of 100% heavy whipping cream (no sugar) to each can of KMR.) and force feed it to her.
If you are not comfortable with that, you can try soaking rabbit pellets in the formula and mashing up, but there's a good chance she won't recognize that as food.
Maybe join some rabbit keeper forums or ask a local breeder for more help.
Which is the angle of depression from the top of the waterfall to Kelley? ∠5 ∠8 ∠7 ∠6
Answer: 6
Step-by-step explanation:
Answer:
∠6
Step-by-step explanation:
Sally's high school is planning their spring musical. The revenue, R, generated can be determined by the function R(t)=-33t^2+360t , where t represents the price of a ticket. The production cost, C, of the musical is represented by the function C(t) = 700+5t. What is the highest ticket price, to the nearest dollar, they can charge in order to not lose money on the event?
Answer: t=8
Step-by-step explanation:
The highest ticket price that they can charge in order to not lose money on the event will be $8.16.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
Sally's secondary school is arranging their spring melodic. The income, R, is created still up in the air by the capability R(t) = -33t² + 360t, where t addresses the cost of a ticket. The creation cost, C, of the melodic is addressed by the capability C(t) = 700 + 5t.
The highest ticket price that they can charge in order to not lose money on the event will be given as,
C(t) = R(t)
700 + 5t = -33t² + 360t
33t² - 355t + 700 = 0
Solve for 't', then we have
t = [-(-355) ± √((-355)² - 4 × 33 × 700)] / (2 × 33)
t = [355 ± 183.37] / 66
t = 5.378 ± 2.778
t = 5.378 + 2.778, 5.378 - 2.778
t = 8.16, 2.60
More about the function link is given below.
https://brainly.com/question/5245372
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Find the percent of the number. 45% of 45 is
Answer:
20.25
Step-by-step explanation:
Answer:
20.25
Step-by-step explanation:
Use the “ %/100 = is/of ” method
45 ?
__ = __
100 45
cross mutilps 45(45) = 2,025
then divide 2,025 by 100 = 20.25
Which graph shows this system of equations?
Answer:
2nd
Step-by-step explanation:
Answer:
The 2nd graph
Step-by-step explanation:
Trust me bro
Zane and his favorite geometry student, , have just set sail for a day of fun on lake Erie. A spring squall quickly forms and catches you off guard, leaving you adrift on the lake. Zane suddenly discovers he has an irrational fear of water and is reduced to hugging the mast. You hear Sherman barking from the top of a lighthouse to help guide you to shore. In order to save Zane and yourself, you must calculate how far away you are from this lighthouse. Using a range finder, you expertly measure the distance from the sailboat to the top of the lighthouse at 350 yards.
angle B is 40 degrees.
(a) Based on the above information, find the distance across the water from the sailboat to the island
where the lighthouse is standing. You can only use trigonometry to solve. You must show all work for
credit. Round your answer to the nearest whole number if needed.
(b)Calculate the height of the lighthouse. You can only use trigonometry or Pythagorean Theorem to
solve.
Water is the Adjacent of this right triangle. 350 yards is the length of the Hypotenuse. We have given angle B, 40 degrees.
_________________________________________________________
According to SOH CAH TOA, we use CAH (cosineΘ = adjacent/hypotenuse).
Θ = 40hyoptenuse = 350adjacent = xcosine40 = x/350
[multiply both sides by 350]
350 · cosine40 = x
[put calculator in degree mode]
x ≈ 268 yards
So, the distance across the water from sailboat to the island is 268 yards.
_________________________________________________________
Let's use pythagorean theorem since we already know the adjacent and hypotenuse to find the opposite (opposite is also known as height).
a^2 + b^2 = c^2
a = ? (opposite or height)b = 268 (adjacent)c = 350 (hypotenuse)a^2 + (268)^2 = (350)^2
a^2 + 71824 = 122500
a^2 = 122500 - 71824
a^2 = 50676
[square both sides]
[tex]\sqrt{a^2}[/tex] = [tex]\sqrt{50676}[/tex]
a = [tex]\sqrt{50676}[/tex]
a ≈ 225
So, the height, opposite, of the lighthouse is 225 yards.
_________________________________________________________
ANSWER: a) 268 yards b) 225 yards