Answer:
260.02 cm²
Step-by-step explanation:
radius of circle= 18.2÷2
=9.1
area of circle= πr²
= 3.14×9.1²
= 260.02 cm² (nearest hundredth)
Answer:
Solution given:
diameter=18.2cm
[r]radius=diameter /2=18.2/2=9.1cm
Now
Area of circle=πr²=3.14*(9.1)²=260.02cm²
The area is _260__ square cm.
Which answer choice represents the difference of 20 and 3 times a number?
A. 3j + 20
B. 20(3j)
C. 20 – 3j
D. (20 · 3)j
Answer:
C
Step-by-step explanation:
The word “difference” tells us that this is a subtraction problem
the words “three times a number” tells us that the variable will be multiplied by three
therefore it is C, 20-3j
PLEASE HELP ME !ASAP!!
Q1)What is the sum of the finite arithmetic series −10, −8, −6, −4, ...24?
show work !!
Q2)You are trying to save $1500. You begin with $5 and save $3 more than the previous amount each week for 30 weeks. Will you meet your goal? Explain. Show work
Solution :
First term, a₀ = -10 .
Common difference of A.P. , d = -8 - (-10) = 2 .
Last term, aₙ = 24 .
We know, last term is given by :
aₙ = a₀ + (n-1)d
24 = -10 + (n-1)×2
2n - 2 = 34
n = 18
Now, sum of series is given by :
[tex]S_n = \dfrac{n}{2} \times ( 2a+(n-1)d)\\\\S_n = \dfrac{18}{2} \times ( 2\times -10 + ( 18 -1) \times 2)\\\\S_n = 126[/tex]
Hence, this is the required solution.
a man has been driving a second hand car for the past four years. over these four years he managed to save 16% as a deposit of the price of the brand new car he wants to buy. the price of the new car is 750 000... calculate the amount he saved for the deposit
Answer:
$120,000
Step-by-step explanation:
Provided that
The price of the new car is $750,000
And, the saving percent is 16%
We need to calculate out the saving amount for the deposit
Therefore, the saving amount is
= $750,000 × 16%
= $120,000
Basically we multiply these two things to each other in order to get the saving amount
Find the measure of the arc TDB in the circle P shown below:
[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]
The Angle formed by an arc on the centre of the circle is double the angle made by the same arc on the circumference of the circle.
So,
[tex] \boxed{ \mathrm{ \angle TDB = \dfrac{1}{2} \angle TPB }}[/tex]
[tex] \mathrm{\angle TDB = \dfrac{1}{2} \times 90 \degree}[/tex][tex] \mathrm{\angle TDB =45 \degree } [/tex]_____________________________
[tex]\mathrm{☠ \: TeeNForeveR \: ☠}[/tex]
If you add the digits in a number, how many numbers between 0 and 10,000 will have a sum of 10? (For example, 334 is one such number because 3 + 3 + 4 = 10)
Answer: I think 100,000
Step-by-step explanation:
A right circular cone has a radius of 6 inches and a slant length of 10 inches. A right cylinder has a radius of 8 inches and a height of 12 inches. How many cones full of water are needed to fill the cylinder
Answer:
6.4 cones full of water
Step-by-step explanation:
Given data
Radius of cone= 6inches
Slant height= 10 inches
Volume of cone= 1/3πr^2h
V= 1/3*3.142*6^2*10
V= 1/3*3.142*36*10
V= 1/3*1131.12
V= 377.04 cubic inches
Radius of right cylinder= 8 inches
Height= 12 inches
Volume of cylinder= πr^2h
Volume= 3.142*8^2*12
Volume= 3.142*64*12
Volume=2413.056 cubic inches
Hence the number of cone full of water needed to fill the cylinder is
=Volume of cylinder/volume of cone
=2413.056/377.04
=6.4 cones full of water
Caity is 50 inches tall. Caity's brother Michael is 5 inches taller than she is. What is Michael's height in feet and inches?
Answer:
55 inches = 4 feet 7 inches
Step-by-step explanation:
Because Michael is 5 inches taller so 50+5=55, then divided by 12 = 4 remainder 7. So that means Michael is 55 inches tall, or 4 feet and 7 inches
fractions are equal to 12 /18 is
Answer:
2/3
Step-by-step explanation:
Answer:
2/3 = 4/6 = 6/9 = 8/12
= 10/15 = 12/18 = 14/21 = 16/24
= 18/27 = 20/30 = 22/33 = 24/36
= 26/39 = 28/42 = 30/45 = 32/48
= 34/51 = 36/54 = 38/57 = 40/60
= 42/63 = 44/66 = 46/69 = 48/72
= 50/75 = 52/78 = 54/81 = 56/84
= 58/87 = 60/90 = 62/93 = 64/96
= 66/99 = 68/102 = 70/105 = 72/108
= 74/111 = 76/114 = 78/117 = 80/120
= 82/123 = 84/126 = 86/129 = 88/132
= 90/135 = 92/138 = 94/141 = 96/144
= 98/147 = 100/150 = 102/153 = 104/156
= 106/159 = 108/162 = 110/165 = 112/168
= 114/171 = 116/174 = 118/177 = 120/180
= 122/183 = 124/186 = 126/189 = 128/192
= 130/195 = 132/198 = 134/201 = 136/204
= 138/207 = 140/210 = 142/213 = 144/216
= 146/219 = 148/222 = 150/225 = 152/228
= 154/231 = 156/234 = 158/237 = 160/240
= 162/243 = 164/246 = 166/249 = 168/252
= 170/255 = 172/258 = 174/261 = 176/264
= 178/267 = 180/270 = 182/273 = 184/276
= 186/279 = 188/282 = 190/285 = 192/288
= 194/291 = 196/294 = 198/297 = 200/300
Angelica used four congruent equilateral triangles. Each side of the triangles was 14 inches. The height of each triangle was 12.1 inches. Which figure did she construct? What is the surface area of her figure? 7 Check your guesses from Exercise 3. Were you correct?
Answer:
in simplified version it would be x ≤-4
Step-by-step explanation:
multiply each term in x ≤-4 by -1
Angelica constructs a regular tetrahedron
The surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]
What is equilateral triangle?"It is a triangle that has all its sides equal in length and all angles are 60° in measure."
What are congruent triangles?"Two or more triangles are congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure."
What is a regular tetrahedron?"It is a triangular pyramid having congruent equilateral triangles for each of its faces."
Formula of area of regular tetrahedron:[tex]A=\sqrt{3}\times a^{2}[/tex], where 'a' is the edge length of tetrahedron
For given question,
Angelica used four congruent equilateral triangles.
She constructs a regular tetrahedron using four congruent equilateral triangles.
The length of each edge of tetrahedron = side length of equilateral triangle
So, each edge of tetrahedron measures 14 inches.
Using the formula of area of the regular tetrahedron,
[tex]A=\sqrt{3}\times a^{2} \\\\A=\sqrt{3}\times (14)^{2}\\\\A=1.73\times 196\\\\A=339.08~~in^2[/tex]
Therefore, the surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]
Learn more about regular tetrahedron here:
https://brainly.com/question/17132878
#SPJ2
Becky can wash 15 dishes in 5 minutes. How many dishes will she be able to wash in 8 minutes?
Answer:
24 is correct answer
Step-by-step explanation:
its a 5:15 ratio, you are finding 8:x
8/5=1.6-> 1.6 x a5 = 24
Answer:
24 plates
Step-by-step explanation:
If she can wash 15 dishes in 5 minutes you just need to figure out how many dished she can washe in 1 minute. so you are gonna divide 15 by 5 and get 3 because 3 times 5 equals 15. so then that means she can wash 3 plates in 1 minute. so if she washed 15 in 5 in 6 minutes she can wash 18 and in 7 minutes she can wash 21 and in 8 minutes she can wash 24. Your just adding 3 to the 15 for every minute.
The width of a rectangle is its length. The perimeter of the rectangle is 420 ft.
What is the length, in feet, of the rectangle?
Width=length
Let's assign a variable for the width, and call it x.
Since the width is equal to it's length, we can also call the length x.
The perimeter formula for a rectangle is 2(l+w).
Hope this helps!
Answer:
[tex]105ft[/tex]
Step-by-step explanation:
Since it's saying that the width of a rectangle is its length, that means all the sides of the rectangle are equal.
Since a rectangle has only 4 sides, we can divide the perimeter of the rectangle (420 ft) by 4 (sides)
Note: perimeter is the sum of all sides!
420 ÷ 4 = 105
Hope this helps!
find the total surface area of a triangular prism 17cm 8cm 7cm 15cm
Answer:
hey I don't know which one is the hight
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer: 120 cubed inches
Step-by-step explanation:
First, multiply them all together. 6x10x2 = 120 cubed inches
What do the following two equations represent? Y = -x + 5
5х + 5y = 20
Answer:
Letter B, distinct parallel lines
Step-by-step explanation:
I used a graphing calculator, tell me if it's correct.
Pranav paints a wall of area 53m^2 one litre of paint covers an area of 4.5m^2 paint is sold in 2.5 litre tins, each costing $24.75 Pranav buys the least number of tins to paint this wall work out the cost of the paint
Answer:
The cost of the paint will be $123.75.
Step-by-step explanation:
Since Pranav paints a wall of area 53m ^ 2, and one liter of paint covers an area of 4.5m ^ 2, and paint is sold in 2.5 liter tins, each costing $ 24.75, if Pranav buys the least number of tins to paint this wall, to determine the cost of the paint, the following calculation must be performed:
(53 / 4.5) = liters of paint needed
11.77 = liters of paint needed
11.77 / 2.5 = tins of paint needed
4.71 = tins of paint needed (rounds to 5)
5 x 24.75 = Total cost
123.75 = Total cost
The cost of the paint will be $123.75.
HELPP i'll give brainliest for the CORRECT answer
Answer:
a = 105 in²
Step-by-step explanation:
Front and back, triangles
a = 2 * (1/2)(5 * 6)
a = 30
Sides, squares
a = 3 * (5 * 5)
a = 75
Total
a = 30 + 75
a = 105 in²
Write True or False. You can use the measures of the angles formed by two lines and a transversal to determine whether the two lines are parallel.
Answer:
I think that the answer is true (explanation might not be 100% accurate)
Step-by-step explanation:
Given that for 2 lines to be parallel, they have to never intersect at any point, meaning they both have to be straight and "facing" the same way. If either line has a tilt/angle of any sort, then they are not parallel.
PELASE HELP ME I NEED HELP
1-Which or the following ratios are equivalent?
2-find this area.
3-what is the area of this trapezoid?
Answer:
1) 22:14 and 11:7
2) 39m^2
3) 39cm^2
HELP! I'll give brainliest
Answer: A!
Step-by-step explanation:
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of spinning an odd number, flipping heads, then spinning another even number.
Answer:
spinng of an odd number -50%
fliping heads - 50%
spinin an even number- 50%
Step-by-step explanation:
Solve for the variable then find the missing angle.
If x = 9 when y = 36 and x is directly
proportional to y, what is x when y= 6?
Answer:
[tex]x = 1.5[/tex]
[tex]Explaination :\\\frac{36}{9} = 4\\\frac{6}{4} =1.5\\Answer = 1.5[/tex]
Answer:
x = 1.5
Step-by-step explanation:
[tex]\frac{9}{36} :\frac{x}{6}[/tex]
Cross multiply.
36 · x = 9 · 6
Simplify.
36x = 54
Divide each side by 36.
36x ÷ 36 = 54 ÷ 36
Simplify.
x = 1.5
what is the length of side AC to the nearest tenth? (giving brainliest and thanks to all!)
25A) Find the length of a rectangular lot with a perimeter of 132 feet if the
length is three more than twice the width.
Answer:
34.5 ft
Step-by-step explanation:
~Refer to the attachment for the solution.
slove
[tex]4 \div 2(5 - 8)[/tex]
Answer:
Hello! answer: -6
4 ÷ 2 = 2 5 - 8 = -3
2(-3) = -6 therefore the answer is -6 hope that helps!
Please help me! i have to find the cube root
Answer: 7/4
Step-by-step explanation:
Answer:
Exact Form:
7/4
Decimal Form:
1.75
Mixed Number Form:
1 3/4
Step-by-step explanation:
From a stick 2y metres long, I cut a piece of length 4y centimetres. What fraction of the original stick remains?
None of these
49/50
-1/2y
-2y
Answer:
-1/2y
Step-by-step explanation:
2/4 = 1/2
I NEED THIS BY TODAY!!
Step-by-step explanation:
[tex](1. \: x = - \frac{y}{3} [/tex]
[tex](2. \: x = \frac{22 + 3y}{2} [/tex]
I think this is correct and what you wanted
Jack is building a rectangular fence for his ferret. He has 20 feet of fencing and wants the short side of the fence to be 7 2 feet. How long will the other side of the fence be? Write the answer in decimal form. The long side will be feet.
Answer:
6.5 feet
Step-by-step explanation:
The guy above me is correct its 6.5 feet
Aisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $3.75 and a drink for $5. How much would it cost if they bought 5 bags of
popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and
d drinks?
Answer:
price of 5 bags of popcorn = 3.75 x 5 = 18.75
price of 8 drinks = 5 x 8 = 40
price of p bags of popcorn = 3.75 x p
price of d drinks = 5 x d