Marcus want to determine how much water I'd needed to fill his pool. What measurement does he need to find?
a) The perimeter of the pool
b) the volume of the pool
c) the width of the pool
d) the area of the pool
Answer:
Answer should be b the volume
= A triangle has sides of lengths 18, 24 and 30 units. What is the length of the shortest
altitude of this triangle? Express your answer as a common fraction.
Answer:
According to the Heron's formula, Area (A) of the triangle having sides a,b,c units is
A=
s(s−a)(s−b)(s−c)
where
s=
2
a+b+c
For the given triangle,
a=18 cm
b=24 cm
c=30 cm
s=
2
18+24+30
=36
A=
36(36−18)(36−24)(36−30)
A=
36×18×12×6
A=
216×216
=216 cm
2
Smallest side =18 cm
Area of the triangle =
2
1
×base×altitude=216
2
1
×18× altitude=216
Altitude =
9
216
=24 cm
Step-by-step explanation:
hope this will help
[tex]\boxed{\boxed{\pink{\bf \leadsto The \ length \ of \ shortest \ altitude \ is \ 2.4\sqrt{6} \ units . }}}[/tex]
Step-by-step explanation:Here given measure of sides are 18 , 24 and 30 units. Firstly let's find the area of ∆ using Heron's Formula.
[tex]\boxed{\red{\bf Area_{\triangle} =\sqrt{s(s-a)(s-b)(s-c)}}}[/tex]
Where s is semi Perimeter . And here s will be ( 18 + 24 + 30 ) / 2 = 36 units .
[tex]\bf \implies Area = \sqrt{s(s-a)(s-b)(s-c)} [/tex]
[tex]\bf \implies Area = \sqrt{ 36 ( 36 - 18)(36-24)(36-30)}[/tex]
[tex]\bf \implies Area = \sqrt{ 36 \times 18 \times 12} [/tex]
[tex]\bf \implies Area = \sqrt{ 6^2 \times 6\times 6 \times 2 \times 3} [/tex]
[tex]\bf \implies Area = 6^2\sqrt{6} unit^2 [/tex]
[tex]\bf \boxed{ \implies Area_{triangle} = 36\sqrt{6} units^2} [/tex]
Also we know that ,
[tex]\boxed{\red{\bf Area_{\triangle} = \dfrac{1}{2}\times (base)\times (height)}}[/tex]
Let's find the altitudes now ,
Altitude on side of 18 units :-
[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 18 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{18} \\\\\boxed{\bf\implies h_1 = 4\sqrt6 units }[/tex]
Altitude on side of 24 units :-
[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 24 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{24} \\\\\boxed{\bf\implies h_1 = 3\sqrt6 units }[/tex]
Altitude on side 30 units :-
[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 30 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{30} \\\\\boxed{\bf\implies h_1 = 2.4\sqrt6 units }[/tex]
Hence the lenght of shortest altitude is 2.4√6 units and its on the side of 30 units.Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D
Answer:
d = 50t
Step-by-step explanation:
In the table, the values across from each other are equivalent.
[tex]\begin{tabular}{|c|c|}\cline{1-2} Time in hours (t) & Distance in miles (d) \\\cline{1-2} 0 & 0 \\\cline{1-2} 1 & 50 \\\cline{1-2} 2 & 100 \\\cline{1-2} 3 & 150 \\\cline{1-2}\end{tabular}[/tex]
By looking at the second row of the provided table, we can see that d is equal 50 times the value of t. We can write this as an equation:
d = 50t
The correct answer choice is d = 50t, or the 4th option.
Let me know if you have any questions!
omg please help. make sure you put the product of A, the product of B, and the sum for C. it’s in the picture
Answer:
Product for A = 046
Product for B = 0230
Sum for C = 0.0276
Step-by-step explanation:
We need to multiply the terms and find the answers
First we multiply 2 with 0.23, then we multiply 1 with 0.23
0.23
x 0.12
-------------
046
0230
--------------
.0276
Since there are 2 numbers after decimal in 0.23 and same for 0.12, so we place the decimal so that there are 4 decimal places.
Counting of decimal will start from the units place.
So, Product for A = 046
Product for B = 0230
Sum for C = 0.0276
Which graph shows the points (–3, 5) and (4, –3) plotted correctly? On a coordinate plane, a point is 3 units to the left and 8 units up. Another point is 10 units to the right and 5 units down. On a coordinate plane, a point is 6 units to the left and 4 units up. Another point is 5 units to the right and 3 units down. On a coordinate plane, a point is 6 units to the left and 10 units up. Another point is 8 units to the right and 6 units down. On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 unitsWhich graph shows the points (–3, 5) and (4, –3) plotted correctly? On a coordinate plane, a point is 3 units to the left and 8 units up. Another point is 10 units to the right and 5 units down. On a coordinate plane, a point is 6 units to the left and 4 units up. Another point is 5 units to the right and 3 units down. On a coordinate plane, a point is 6 units to the left and 10 units up. Another point is 8 units to the right and 6 units down. On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 units down. down.
Answer:
On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 units down
Step-by-step explanation:
The coordinate plane is a plane formed from the intersection of the x axis (horizontal line) and y axis (vertical line). The point of intersection of these axis is known as the origin. A point can be represented on the coordinate plane using the x and y coordinates.
The x axis is to the left and right of the origin, negative points are to the left of the origin while positive points are to the right of the origin. The y axis is to the up and down of the origin, negative points are to the down of the origin while positive points are to the up of the origin.
A point in the coordinate plane is represented as (x, y).
The location of point (-3,5) is 3 units to the left and 5 units up while point (4, -3) is 4units to the right and 3 units down
Grace solved the equation 122=−58 122 = x - 58 . Her work is shown. What error did Grace make?
Answer:
[tex]122 = x - 58 \\ x = 122 + 58 \\ x = 180 \\ error = 0.5 \times {10}^{ - 3} \\ = 0.0005[/tex]
Answer:
Step-by-step explanation:
Grace should have added 58 to both sides of the equation instead of subtracting.
X < -5. Help me agggg
Answer:
what do you need help with the answer is going to be anything under -6 for example -7, -8, -9, -6.5 something along those lines
Step-by-step explanation:
Belinda's dog had a litter of puppies. She is selling the puppies for $200 each. After 2 weeks, Belinda has 3 puppies left so she decides to reduce the sale price to $150 each. What is the percent decrease in price?
ps this is middle school 7th grade
Answer:
4,900
Step-by-step explanation:
Because i just know
Answer: 25%
Explanation:
1. Turn it into a fraction 150/200
2. Divide numerator (150) by denominator (200) to get 0.75
3. Subtract 0.75 from 1 to get 0.25
4. Turn 0.25 into a percentage by simply taking away the “0.” and adding a “%” at the end (25%)
Is my answer correct?
Answer:
It's wrong. The correct answer is -3 1/8x + 6 3/10
Step-by-step explanation:
You don't need to do the first two numbers of each equation but you want to consider the last part of the equation since each of them is different. Convert 2 1/5 to 2 2/10 to make it easier. Because you are subtracting two negative numbers, they will actually add so 2 2/10 + 4 1/10 equals 6 3/10 which makes the second option applicable.
Find each unit rate. Determine which is lower.
Brand A: 240 mg sodium for 1/3 pickle
or Brand B: 325 mg sodium for 1/2 pickle
Answer:
Brand A
Its easy
Mark as Brainliest.
Because I am Indian and solving your question from India.
What is the magnitude of -5.8
please friend complete your answer
A concession stand owner has $195 to buy hotdogs. Each package of hotdogs cost $4. If the owner buys as many packages as
possible, how much money does he have leftover?
8 minus the sum of 5 and 43 divided by 8
helpppppp
it's not -5 i tried did not work
HELPPP
And its not 8.375
Answer:
-2.375
Step-by-step explanation:
43/8=5.375
5+5.375=10.375
8-10.375=-2.375
DUE AT 8:15 I NEED THE ANSWER NOW
Answer: 47 inches
Step-by-step explanation:
Let x = length of the shortest piece
188 inches = 3x + x
188 inches = 4x
47 inches = x
Answer:
The shorter piece is 47 unches long
Step-by-step explanation:
l + s = 188
l = 3s
3s + 3 = 188
4s = 188
4s/4 = 188/4
s = 47
l = 3s
l = 3(47)
l = 141
what's six tenths divided by seven
Answer:
3/35
Step-by-step explanation:
The bar graph in the following graphic represents fictional net exports in billions of dollars for five countries. Net exports are obtained by subtracting total imports from total exports; a negative net export means the country imported more goods than it exported.
Net Exports (Billions of dollars) United States Denmark China Germany Spain -150 -100 150 -50 050 100 Net Exports (Billions of dollars)
What is the difference between the net exports from The United States and Denmark?
a. 70 billion dollars
b. 80 billion dollars
c. 90 billion dollars
d. -140 billion dollars
Answer:
$80 billion
Step-by-step explanation:
From the graph, we have the following:
[tex]United\ States = -110[/tex]
[tex]Denmark = -30[/tex]
[tex]China = 120[/tex]
[tex]Germany = 40[/tex]
[tex]Spain = 30[/tex]
Required
Determine the difference in US and Denmark exports
The difference is calculated as thus:
[tex]Difference = Denmark - United\ States[/tex]
This gives:
[tex]Difference = -30 - (-110)[/tex]
[tex]Difference = -30 +110[/tex]
[tex]Difference = 80[/tex]
Hence, the difference is $80 billion
Answer:
If your question looked like this: China's net exports are represented by a positive integer. Explain what this tells you about imports and exports of China.
A. China's exports exceed imports by 120 billion dollars.
C.
China's total exports are 120 billion dollars.
B. China's total imports are 120 billion dollars.
D. China's imports exceed exports by 120 billion dollars.
Step-by-step explanation:
Then your answer is
A. China's exports exceed imports by 120 billion dollars
Which function represents exponential decay with 5% as the rate of decrease?
Answer:
The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex] ⇒ B
Step-by-step explanation:
The form of the exponential growth function is y = a [tex](1+r)^{x}[/tex]
The form of the exponential decay function is y = a [tex](1-r)^{x}[/tex]
a is the initial valuer is the rate of increase or decrease in decimal∵ The function represents exponential decay with 5%
→ By using the second rule above
∴ y = a [tex](1-r)^{x}[/tex]
∵ The rate of decrease is 5%
∴ r = 5%
→ Change it to decimal by dividing it by 100
∵ 5% = 5 ÷ 100 = 0.05
∴ r = 0.05
→ Substitute it in the equation
∵ y = a [tex](1-0.05)^{x}[/tex]
∴ y = a [tex](0.95)^{x}[/tex]
→ Look at the answer to find which equation is written in this form
∴ y = 50 [tex](0.95)^{x}[/tex]
∴ The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex]
solve:
5 x 1/8 thanks
Step-by-step explanation:
5/8 binod
be happy binod here's ur answer binod
Answer:
5/8
Step-by-step explanation:
Evaluate u+xy for u=17 x=4 and y=8
Alejandro's baseball album holds 3 baseball cards per page. If there are 8 pages in the album, how many baseball cards can it hold? Use the number line to help solve the problem. Write your answer in the post below.
Answer:
24
Step-by-step explanation:
Given that:
Baseball album holds 3 baseball cards per page
Number of pages in album = 8
3 baseball cards per page
Number of baseball cards album can hold
(Number of baseball cards per page * number of pages in album)
(3 * 8) = 24
find the length of AB
Answer:
55?
Step-by-step explanation:
........................
Answer:
AB=55
Step-by-step explanation:
9x+1=7x+13
2x=12
x=6
9x+1=9(6)+1
55
joe is selling sweatshirts for 20% off the regular price of $25.00.
find LCM of:
x2 - 9, 3x3 + 81
Answer:
[tex]\boxed{\pink{\sf (x + 3) \ is\ the \ LCM . }}[/tex]
Step-by-step explanation:
Given two expressions ,
[tex] \qquad (1)\: x^2 - 9 \\\\ \qquad (2)\:3x^3 + 81 [/tex]
And , we need to find the LCM , that is lowest common factor . So , let's factorise them seperately .
Factorising x² - 9 :-
[tex]= x^2 - 9 \\\\= x^2 - 3^2 \\\\ \red{= (x+3)(x-3)} \qquad\bf [Using \ a^2-b^2 = (a+b)(a-b) ][/tex]
Factorising 3x³ + 81
[tex]= 3x^3 + 81\\\\= 3(x^3+27) \\\\= 3( x^3+27) \\\\ = 3(x^3+3^3) \\\\ \red{= 3 [ (x+3)(x^2+9-3x) ] } \qquad \bf{[ Using \ a^3+b^3=(a+b)(a^2+b^2-ab) ] } [/tex]
Hence we can see that (x+3) is common factor in both expressions.
Hence the LCM is ( x+3 ) .
4\7 equivalent fraction
Answer:
Hope it helpsssssss
Step-by-step explanation:
4/7, 8/14, 12/21, 16/28, 20/35, 24/42, 28/49, 32/56, 36/63, 40/70, and so on
It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school.
How long does it take Andre to walk to school?
please help!
Type the correct answer in the box. Use numerals instead of words.
Adrian has a bag full of pebbles that all look about the same. He weighs some of the pebbles and finds that their weights are normally distributed, with a mean of 2.6 grams and a standard deviation of 0.4 grams.
What percentage of the pebbles weigh more than 2.1 grams? Round to the nearest whole percent.
Answer:
89% of pebbles weigh more than 2.1 grams.
Step-by-step explanation:
Given that
Mean = 2.6
SD = 0.4
As we have to find the percentage of pebbles weighing more than 2.1, we have to find the z-score for 2.1 first
[tex]z = \frac{x-mean}{SD}\\z = \frac{2.1-2.6}{0.4}\\z = -1.25[/tex]
Now we have to use the z-score table to find the percentage of pebbles weighing less than 2.1
So,
[tex]P(x<-1.25) = 0.10565[/tex]
This gives us the probability of P(z<-1.25) or P(x<2.1)
To find the probability of pebbles weighing more than 2.1
[tex]P(x>2.1) = 1 - P(x<2.1) = 1 - 0.10565 = 0.89435[/tex]
Converting into percentage
[tex]0.89435*100 = 89.435\%[/tex]
Rounding off to nearest percent
89%
Hence,
89% of pebbles weigh more than 2.1 grams.
Answer:
89%
Step-by-step explanation:
6c-9d=111 5c-9d=103
how to solve this problem
Answer:
it is a simultaneous equation.
the -9d can be cancelled to find the answer
The requried solution of the given system of equations is c = 8 and d = -7.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
here,
Given a system of equations,
6c-9d=111 - - - - - (1)
5c-9d=103 - - - - -(2)
Solving the above two equations,
by subtracting 2 from 1|
c = 111 - 103
c = 8
Now,
6(8) - 9d = 111
d = - [111 - 48] / 9
d = -63 / 9
d = -7
Thus, the requried solution of the given system of equations is c = 8 and d = -7.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ2
A rectangle has an area of 18 square units. What can be said of its height and width? Check all that apply.
A.
The height could be 1 and the width 18.
B.
The height could be 3 and the width 6.
C.
The height could be 6 and the width 3.
D.
The height could be 8 and the width 10.
Answer: A, B, and C
Step-by-step explanation:
Area = Length x Width
A. With these dimensions, the area would be 18 sq units
1 * 18 = 18
B. With these dimensions, the area would be 18 sq units
3 * 6 = 18
C. With these dimensions, the area would be 18 sq units
6 * 3 = 18
D. With these dimensions, the area would be 80 sq units
8 * 10 = 80
In a city the ratio of people who live in flats to the number that live in terraced houses is 3:2. The ratio of people who live in detached houses to terraced houses is 1:4. What is the ratio of people that live in flats:terraced houses:detached houses in its simplest form?
Answer:
1/2
Step-by-step explanation:
Answer:
8:12:3
Step-by-step explanation:
Flats:Terraced is 2:3
Detached:Terraced is 1:4
First make the Terraced the same.
Flats:Terraced is 8:12
Detached:Terraced is 3:12
Terraced:Detached is 12:3
Now that we know, we can combine it.
Flats:Terraced:Detached is 8:12:3
Hope this helps :D
The point (-7, 4) is reflected over the line x= -3. Then, the result point is reflected over the line y = x. Where is the point located after both reflections?
A. (-10, 7)
B. (1, 4)
C. (4, -7)
D. (4, 1)
Answer: D. (4, 1)
Step-by-step explanation:
When we have a reflection over a line, the perpendicular distance to that line is invariant.
Then, if we have the point
(-7, 4) and we have a reflection over the line x = -3
The distance between the x component and the line is:
I -7 - (-3)I = 4
Then the reflected point will also be at a distance of 4 units to the line x = 3, and this is at the point x = 1.
Then the new point is (1, 4)
Now we do a reflection over the line x = y.
This type of reflection just changes the x-component by the y-component, and the y-component by the x-component.
Then the new point will be (4, 1)
Then the correct option is D.