Answer:
150 in³
Step-by-step explanation:
We want to find half the volume of a rectangular pyramid. The volume of the whole pyramid is given by the formula ...
V = 1//3LWH
V = 1/3(5 in)(15 in)(12 in) = 300 in³
Then the volume of the half that is not filled with marbles is ...
1/2V = 1/2(300 in³) = 150 in³
150 cubic inches of marbles are needed to finish filling the container.
!!!!!!!!!!!!!!!!!!!!
A soccer field is 80 yds wide and 130 yds long. Find the length of the diagonal of such a field. Give an exact answer as a radical expression and an approximation to three decimal places.
[tex] \bf \underline{Given :-}[/tex]
Width of soccer field = 80 ydsLength of soccer feild = 130 yds[tex] \\ \\ [/tex]
[tex] \bf \underline{ To \: find:-}[/tex]
Length of diagonal[tex] \\ \\ [/tex]
[tex] \bf \underline{Solution:-}[/tex]
Strongly recommend to keep up with Digram , as name of sides are based according to Digram.
As we know soccer feild is rectangle , therefore ∠A = ∠B = ∠C = ∠D = 90°
Now as we have to just find value of diagonal AD therefore just focus on triangle ACD.
we know ∠C = 90° , triangle ACD. is a right angled triangle.
[tex] \\ \\ [/tex]
[tex] \bigstar \boxed{ \rm Hypotenuse^2 = Base^2 + Perpendicular^2}[/tex]
Here :-
Hypotenuse = AD
Base = CD
Perpendicular = AC
[tex] \\ [/tex]
Therefore :-
[tex] \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =CD^2 + AC^2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =(130)^2 + (80)^2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =130 \times 130 + (80)^2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =16900+ (80)^2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =16900+80 \times 80 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =16900+6400\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =23300\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD= \sqrt{23300} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf AD =152.643 \: yds\\ [/tex]
[tex] \\ \\ [/tex]
What are the pros and cons of using disposable plastic and paper products for dine-in fast food restaurants over reusable plates, cups, and silverware? atleast 2 pros and 2 cons
Answer:
Disposable items decompose after some time thus making them eco-freindly(safe for the environment) they also don't make a giant mess that takes thousands of years to decompose and even if they do it doesn't take that long for them to decompose on the other hand they are more expensive to mass produce than reusable items and they also are more expensive to buy than non Disposable but reusable items.Non disposable but reusable Items when thrown away can take decades or even in some cases tens of thousands of years to decompose and can pose a threat to the environment they can be eaten by fish and other animals causing them in some cases to die they can cause a giant mess on the other hand they are cheap,and quick to make and you don't have to pay as much for dishes.show the graph of f(x)=5^X
Answer:
i put it below
Step-by-step explanation:
but if you want to do it without a graphing calculator all you have to do is substitute random points then draw them on a graph
Help please(geometry math)
Answer:
No solution
Step-by-step explanation:
By bisector theorem: the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle
y/8 = 8/2
y = 32 .... sum of the length of 2 sides of triangle must be larger than the 3rd side, 8+2+8 = 18 < 32
y can only has a value < 18
If we use Law of Sines also get y = 32 ... not forming a triangle
Mulberry Elementary has a playground in the shape of a rectangle.
The length is 5.5 meters
The width is 3.2 meters
Over the summer, the school will increase both the length and the width of the playground by 40% each.
Part A:
What will be the perimeter, in meters, of the enlarged playground? Enter your answer as a decimal with a hundredths place value.
Part B:
By how many square meters will the area of the playground increase? Enter your answer as a decimal with a thousandths place value.
The perimeter of the enlarged playground is 24.36 meters, and the increase in area is 16.9 m²
What is an area?
An area is the amount of space occupied by a two dimensional shape or object. The area of a rectangle is:
Area = length * width
Given that length = 5.5 m, width = 3.2 m
Hence:
Area = 5.5 * 3.2 = 17.6 m²
Perimeter = 2(length + width) = 2(5.5 + 3.2) = 17.4 m
There is an increase in both the length and the width of the playground by 40% each. Hence:
New length = 1.4 * 5.5 = 7.7 m, new width = 1.4 * 3.2 = 4.48 m
Area = 7.7 * 4.48 = 34.5 m²
Perimeter = 2(length + width) = 2(7.7 + 4.48) = 24.36 m
Increase in area = 34.5 m² - 17.6 m² = 16.9 m²
The perimeter of the enlarged playground is 24.36 meters, and the increase in area is 16.9 m²
Find out more on area at: https://brainly.com/question/25292087
A turtle and a snail start moving towards each other when they are 200 feet apart. The turtle is running at a speed of T feet per minute, and the snail is moving at a speed of S feet per minute. How fast are they approaching each other?
Answer:
200/T+S min
Step-by-Step Explanation:
Given:
Distance between turtle and snail=200 feetSpeed of turtle=T ft/minSpeed of Snail=S ft/minTo find:
Let time=tAfter t min they will meet to each other.We know that | Distance = Speed * Time |
Using the formula,Distance covered by turtle in time t=Tt ftDistance covered by snail in time t=St ftAccording to question,Tt + St = 200t (T + S) = 200t = 200/T+S minTime taken by them in approaching to each other = 200/T+S min
rewrite the expression 26×26⁸.
Answer:
26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26
Step-by-step explanation:
26 to the eighth power is like multiplying 26 times itself eight times. So since it started off as 26 times 26 eight times, you would times 26 by itself 9 times.
Paula weeded 40% of her garden in 8 minutes.How many minutes will it take her to weed all of her garden?
Answer:
20 minutes
Step-by-step explanation:
Given:
40% of Paula's garden is weeded and it was done in 8 minutes.
Solution:
40% divided by 8 is 5% [ Division ]
100% divided by 5% = 20 minutes
The cheerleaders at Lake High School launch T-shirts into the crowd every time the Lakers score a touchdown. The height of the T-shirt can be modeled by the function h(x)-16x^2+48x+6, where h(x) represents the height of the T-shirt after x seconds.
the anser is c because i dont know
Write a description of -5a + 3 > 1 inequality
The sum of -5a and 3 is greater than 1
?/1
Evaluate g(-4) if
g(x)=x^2 −2x+5
Please answer with g(-4) =
Answer:
g(-4) = 29
Step-by-step explanation:
g(-4) = (-4)^2 -2(-4)+5
= 16 + 8 +5
= 29
Please help me with this too. Thankyouu!!!
Answer:
Q 4. 69
Step-by-step explanation:
Q 4:-
(37)^2 - 1300 1369 - 130069A number has three digits: 1, 4, and 1.
To the nearest hundred, the number rounds to 400. What is the number?
Answer:
411
Step-by-step explanation:
Because it has a 4 , 1 , and a 1
meaning the first number can't be 1 so it is automatically a 4.
and then the only 2 numbers left is 2 one's so you have to put them in their also automatically and 4 is asking 1 to round up can it.
411 can't round up,it would round down because 1 is 4 and below so it can't go up and goes down.
so 4 1 1 can't go up the number would have to be 450 to go to 500 but because it is 411 it goes down to 400 because it is rounded to 400.
Hope this helps have a awesome day:)
2 1/6 divided by 21/2
Answer:
Change the mixed numbers into an improper fraction:
[tex]2\frac16 \div 2\frac12=\dfrac{2 \times 6+1}{6}\div \dfrac{2 \times 2+1}{2}=\dfrac{13}{6}\div \dfrac{5}{2}[/tex]
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. (Reciprocal is when you swap the numerator and denominator). Therefore,
[tex]\dfrac{13}{6}\div \dfrac{5}{2}=\dfrac{13}{6}\times\dfrac{2}{5}[/tex]
Now we simply multiply the numerators and the denominators:
[tex]\dfrac{13}{6}\times\dfrac{2}{5}=\dfrac{13 \times 2}{6\times 5}=\dfrac{26}{30}[/tex]
We can now reduce the fraction to its simplest form by dividing the numerator and denominator by 2:
[tex]\dfrac{26}{30}=\dfrac{26\div 2}{30 \div 2}=\dfrac{13}{15}[/tex]
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
I'll assume it is [tex]\frac{21}{6}[/tex]÷[tex]\frac{21}{2}[/tex]
Not so sure if it is that or in mixed form
The division sign will become multiplication sign when two becomes the numerator and 21 becomes the denominator
[tex]\frac{21}{6}[/tex]×[tex]\frac{2}{21}[/tex]
21 will cancel out leaving [tex]\frac{2}{6}[/tex]
=[tex]\frac{1}{3}[/tex]
Susie is going to watch a programme which begins at 20:30 and lasts for one hour and forty five minutes what time will it finish?
Answer:
22:15
Step-by-step explanation:
1 hour = 60 mins
20:30 + 45 mins
= 21:15
Plus another hour
21:15+ 1 hour= 22:15
The triangles are similar. Find the value of X.
Answer:
C. 18
Step-by-step explanation:
Triangle RST is dilation of 1.33333333 of triangle ACB, and side CA corresponds to angle SR.
24/1.33333333 = 18
Hope this helps :)
Help help math math math
Answer:
Yes
Step-by-step explanation:
hope it helps you...
Answer:
Yes!
Step-by-step explanation:
Simplifying Algebraic Expressions
7(-8w^2+5w-7)
-(-2t^2+9t+1)
3/5(1/3x+1/4)
The expanded form of the expressions are -56w^2 + 25w - 49, 2t^2-9t-1 and x/5 + 3/20
Simplifying algebraic expressionsGiven the following expressions as shown
7(-8w^2+5w-7)
Expanded the expression to have:
7(-8w^2) + 7(5w) -7(7)
-56w^2 + 25w - 49
For the expression -(-2t^2+9t+1), multiply the expression through bu the minus sign to have 2t^2-9t-1
For the expression 3/5(1/3x+1/algebras)
Expand the expression to have:
3/5(1/3x) + 3/5(1/4)
x/5 + 3/20
Hence the expanded form of the expressions are -56w^2 + 25w - 49, 2t^2-9t-1 and x/5 + 3/20
Learn more on algebraic expressions here: https://brainly.com/question/2164351
Find the area of the following shapes.
Area = __ mm^2
Answer:
Formulae used:
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Area of blue shape:
Area of rectangle + area of triangle
= (9 × 15) + (1/2 × (15 - 9) × 15)
= 135 + (1/2 × 6 × 15)
= 135 + 45
= 180 mm²
Area of yellow shape:
area of rectangle AHPB + area of rectangle GFQP + area of rectangle EDCQ
= (4 × 12) + (6 × (12 - 9)) + (4 × 12)
= 48 + (6 × 3) + 48
= 48 + 18 + 48
= 114 m²
select the correct word form for 87,055
Answer: Eighty-seven thousand-fifty five
Step-by-step explanation:
Answer:
eighty seven thousand fifty five=87,055
Point J is the midpoint of line segment KI. Find the length of JI.
Answer:
6
Step-by-step explanation:
The midpoint of a line segment divides it into two congruent parts:
KJ ≅ JI
JI = KJ = 6
The length of JI is 6 units.
y = 9x - 17
y = -5x + 11
Solve each system of equations by substitution
Answer:
[tex]y=1,\:x=2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}y=9x-17\\ y=-5x+11\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}y=-5x+11[/tex]
[tex]\begin{bmatrix}-5x+11=9x-17\end{bmatrix}[/tex]
[tex]x=2[/tex]
[tex]\mathrm{For\:}y=-5x+11[/tex]
[tex]\mathrm{Substitute\:}x=2[/tex]
[tex]y=-5\cdot \:2+11[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]y=1[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]y=1,\:x=2[/tex]
I need help I will appreciate the answer.
Solve the system of equations below using substitution. y = 2x + 3y = 23
answer
options-
x+y=3, 2x-8y=19, 2x+y=-2, x+2y=2 hope that helps
Step-by-step explanation:
HiSET) On a road map, the distance between two cities is 5.1 inches. If 1.8 inches on the map represents 40 miles of actual distance, which of the following expressions gives the best estimate of the actual distance in miles between these cities?
a) 5/2 x 40 b) 5/2 ÷ 40 c) 6/40 x 2 d) 5/1 x 40 e) 5/40 x 2
Answer:
5.1*40/1.8
your closest answer is 1 (5/2*40)
Hope it helps!!!!!brainliest pls!!!!!!!!Answer:
5/2*40
Step-by-step explanation:
that's my answer, so i hope this helps
hi can u guys help me thank u oh and i will give a brainly if correct :)
Answer:
226,080 cm³
Step-by-step explanation:
volume of cylinder : πr²h
Here given:
radius : 15 cmheight : 320 cmusing volume formula:
π(15)²(320)
72000π
72000(3.14) [ take π as 3.14 ]
226,080 cm³
Answer:
=> 226,080 cm³Step-by-step explanation:
Given:
Radius = 30/2 = 15cm
Height = 320cm
=> The volume of cylinder = πr²h
=> π×15×15×320
=> 3.14×225×320
=> 226,080cm³
simplifying the expression 5/6÷3/6×3/5 gives
Answer:
Hope this helped you
Step-by-step explanation:
5/6 ÷ 3/6 = 5/6 × 6/3 = 5/3
5/3 × 3/5 = 1
5/6÷3/6x3/5
0.83÷0.50x0.60
0.83÷0.30
ANSWER: 2.767
I tried to make it as easy as possible!
pls mark brainliest!
Ava, Zoe and Logan went to the market to buy some presents for a friend's birthday. The three of them
together spent $720. If Logan spent twice as much Zoe did and Zoe spent $40 less than Ava did, how
much did each of them spend?
a + z + l = 720
l = 2z = 2a - 80
4z + 40 = 720
4z = 680
z = 170
l = 340
a = 210
1. A sum of money is divided between Laura and Joan in the ratio 2:3. Laura’s share is $8. Calculate Joan’s share?
Step-by-step explanation:
L : J
2:3
so Lara has 2 shares
2 shares = 8
what is one share
type in comments
and then I will explain the rest
The amount of the Joan's share will be $12.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
A sum of money is divided between Laura and Joan in the ratio 2:3.
Laura’s share is $8.
Let J be the amount of Joan's share and L be the amount of Laura's share.
Then the amount of Joan's share will be
L / J = 2 / 3
8 / J = 2 / 3
By the cross multiplication, then the equation will be
2J = 8 x 3
2J = 24
J = 24 / 2
J = $12
The amount of the Joan's share will be $12.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
NEED HELP ASAP!! Which expressions are equivalent to the one below? Check all that apply.
16x
Answer:
f,c,d is the one who are equivalent