Answers
Answer:
[tex]Length = 15cm[/tex]
Step-by-step explanation:
Given
The cross-section
[tex]Volume = 630cm^3[/tex]
Required
Calculate the length
We start by calculating the area of the trapezium cross-section.
[tex]Area = \frac{1}{2}(Sum\ of\ parallel\ sides) * Height[/tex]
[tex]Area = \frac{1}{2}(9cm + 5cm) * 6cm[/tex]
[tex]Area = \frac{1}{2}* 14cm* 6cm[/tex]
[tex]Area = 42cm^2[/tex]
The length is then calculated from volume as:
[tex]Volume = Area * Length[/tex]
Substitute values for Volume and Area
[tex]630cm^3 = 42cm^2 * Length[/tex]
Make Length the subject
[tex]Length = \frac{630cm^3}{42cm^2}[/tex]
[tex]Length = 15cm[/tex]
Related Questions
Using the figure below, solve f(x) = g(x) for x .
y
g
4.81
2.8
2.1
4
5.26.16.9 8
Enter the exact answers in increasing order.
X=
X=
Answers
four more than a number is 20 less than four times the same number. what is the number?
Answers
Answer:
x=8
Step-by-step explanation:
x+4 = 4x -20
3x= 24
x=8
plz brainliest :)
Let the number is 'x'
So the four times of this number will be 4x
And twenty less than from this number is
4x-20
According to question
4x-20=4
=> 4x=4+20
=> 4x=24
=> x=24/4
=> x=6
So the number is 6
Bill can mow the lawn in 2 hours, his younger brother Tom can mow it in 3 hours. If both brothers mow the lawn together, how long would it take?
Answers
Answer:
1 job / 2 hours + 1 job / 3 hours = 1 job / time it takes for both when working together
time it takes for both when working together = 1.2 hours
Step-by-step explanation:
Are there answer choices? I would say about an hour 15 min
Write e expression for 4*(10-2)
Answers
Answer:
32Step-by-step explanation:
We need to wrote this in terms of x
so x = 4 (10 - 2)
Do the operations in parentheses first.
x = 4 x 8
x = 32
Determine whether the table represents a linear function, an exponential growth function, an exponential decay
function, or none.
Answers
Answer: exponential growth function
Step-by-step explanation:
find answer pleasee AND EXPLAIN IT FOR BRAINLIEST
Answers
Answer:
thing is, when that thing is multiplied by 2, the divide by 2 (the fraction), cancels, so it becomes 5 sqrt 2
Step-by-step explanation:
plz brainliest :)
f(x)=x^-7.5x+9 to the nearest hundredth
Answers
Answer:
0.150
Step-by-step explanation:
Resuelve el siguiente problema aplicando las estrategias de solución de problemas.
• La casa de Wanda tiene un valor de $127,000 dólares, pero todavía debe
$68,422.00 en su hipoteca. Ella tiene $25,236.00 en una cuenta de ahorros y tiene
una deuda en su tarjeta de crédito de $8,477.00. Además, tiene otra deuda en la
cooperativa de ahorro de $5,131.00 y calcula que sus autos y otros artículos para
el hogar tienen un valor de $18,000.00. ¿Cuál es el patrimonio neto de Wanda?
$127,000.00
$88,206,00
O $25.236.00
$82,030.00
Answers
El patrimonio neto de Wanda sera simplemente la suma de todos los valores de los ahorros y bienes que ella tiene, menos las deudas que ella tiene.
Obtendremos que el patrimonio de Wanda es: $88,206,00
Para obtener esto, primero calculamos el valor de vienes y ahorros que Wanda tiene.
esto es:
$127,000 por la casa.
$25,236.00 en ahorros
$18,000.00 en artículos del hogar.
El total es:
$127,000 + $25,236.00 + $18,000.00 = $170,236
El total de deudas es:
$68,422.00 en su hipoteca
$8,477.00 de su tarjeta de crédito
$5,131.00 de una cooperativa de ahorro
La deuda total es:
$68,422.00 + $8,477.00 + $5,131.00 = $82,030
El patrimonio entonces es:
P = $170,236 - $82,030 = $88,206
Si quieres aprender más, puedes leer:
https://brainly.com/question/24488542
It's D, all real numbers greater than or equal to -3
i got %100 in the test
Answers
Answer:
What's the question????
Step-by-step explanation:
Answer:
that's niceeeee! what question are you talking about?
Determine how, if possible, the triangles are similar. PLS SOLVE ASAP
Answers
Answer: They are both scalene triangles
Step-by-step explanation: look at the types of triangle
Answer:
not similar
Step-by-step explanation:
They are so not similar
Can someone try doing this plz
Answers
Answer:
F
Step-by-step explanation:
Your welcome my guy :D
Help me!!!??? Now!!!!!!!!!!
Answers
Answer:
%75
Step-by-step explanation:
15+14+11+20
15+20=35
14+11=25
total is 60
15 is 25% of 60
so there is %75 chance not to get pink
Hey there!
The answer to your question is 0.75
We can find this by first adding up all of the starbursts:
14 + 15 + 11 + 20 = 60 total starbursts.
Then, we add the number of starbursts that are not pink.
14 + 11 + 20 = 45.
This means that there are 45/60 starbursts that are not pink.
Then, we can simplify the fraction into 3/4, or, in decimal form, 0.75.
Hope this helps! Good luck and have a great day!
Use the following information to answer the question. The mean age of lead actresses from the top ten grossing movies of 2010 was 29.6 years with a standard deviation of 6.35 years. Assume the distribution of the actresses' ages is approximately unimodal and symmetric. Between what two values would you expect to find about 95% of the lead actresses ages
Answers
Answer:
You should expect to find about 95% of the lead actresses ages between 16.9 years and 42.3 years.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 29.6 years, Standard deviation = 6.35 years.
Between what two values would you expect to find about 95% of the lead actresses ages
By the Empirical Rule, within 2 standard deviations of the mean. So
29.6 - 2*6.35 = 16.9 years
29.6 + 2*6.35 = 42.3 years
You should expect to find about 95% of the lead actresses ages between 16.9 years and 42.3 years.
Four friends go out for a meal.
Mando's
Restaurant and grill
1 Adult main meal $9.95
1 Adult main meal $8.50
1 Adult main meal $11.40
1 Adult main meal $9.80
food total:
plus service charge: $5.00
Answers
Answer:
Step-by-step explanation:
The total bill = 44.65
Zack uses fruits and nuts to make a trail mix . He uses 2 cups of fruit every 3 cups of nuts
Answers
Answer:
So he makes 5 cups of trail mix.
Step-by-step explanation:
Answer: 5 cups of trail mix
Step-by-step explanation:
2 cups+3 cups = 5 cups
the linear equation 5( + 9) = 5 +45.
Answers
Answer:
45 = 50
not true
Answer: 45=50
Step-by-step explanation:
find all the zeros in the indicated finite field of the given polyomial with coefficients in that field x^5 3x^3 x^2 2x
Answers
Answer:
The answer is "Zeros are 0 and 4".
Step-by-step explanation:
Given equation:
[tex]\to x^5+3x^3+x^2+2x[/tex]
applying the by direct verification:
[tex]\to \phi_{0} (x^5+3x^3+x^2+2x) =0^5+3 \cdot 0^3+0^2+2 \cdot 0 \\\\[/tex]
[tex]= 0 \ mod \ 5 \\\\[/tex]
[tex]\to \phi_{1} \ (x^5+3x^3+x^2+2x) =1^5+3 \cdot 1^3+1^2+2 \cdot 1 \\\\[/tex]
[tex]= 1+3+1+2 \ mod \ 5 \\\\ = 2 \ mod \ 5[/tex]
[tex]\to \phi_{2} \ (x^5+3x^3+x^2+2x) =2^5+3 \cdot 2^3+2^2+2 \cdot 2 \\\\[/tex]
[tex]= 2+4+4+4 \ mod \ 5 \\\\ = 4 \ mod \ 5[/tex]
[tex]\to \phi_{3}\ (x^5+3x^3+x^2+2x) =3^5+3 \cdot 3^3+3^2+2 \cdot 3 \\\\[/tex]
[tex]= 3+1+4+1 \ mod \ 5 \\\\ = 4 \ mod \ 5[/tex]
[tex]\to \phi_{4} \ (x^5+3x^3+x^2+2x) =4^5+3 \cdot 4^3+4^2+2 \cdot 4 \\\\[/tex]
[tex]= 4+2+1+3 \ mod \ 5 \\\\ = 0 \ mod \ 5[/tex]
Show how to use the greatest common factor of 84 and 72 to rewrite 84m - 72n as a product of two factors
Answers
Answer:
The simplified expression is: 12(7m - 6n)
Step-by-step explanation:
Greatest common factor between 84 and 72
We keep dividing 84 and 72, while they can be divided by the same factor. So
84 - 72| 2
42 - 36|2
21 - 18|3
7 - 6
So the greatest common factor is 2*2*3 = 12.
Rewrite 84m - 72n as a product of two factors
Evidencing 12
[tex]84m - 72n = 12(\frac{84m}{12} - \frac{72n}{12}) = 12(7m - 6n)[/tex]
Susan bought 12 ounces of candy. How many grams did she buy? show your work (please!)
Answers
Qoctor.
50
40
30
Total Number of Visits
20
10
0
8
10x
Age (years)
Use the line of best fit to estimate the age of a child who has visited the doctor 40 times.
OA 12 years old
OB.
11 years old
OC.
14 years old
D. 13 years old
Answers
8) The cost of renting a boat from Estes
Rentals is $9 per 15 minutes. The cost
from Ship and Shore Rentals is $20 per
half hour. If you plan to rent the boat for
three hours, which business offers the
better deal and by how much?
8
Answers
$20 per 30 mins, $120
Estes Rentals, $18
Can someone please help me?!
Answers
Answer:
3.5/14 2.5/103/12 See the attached solutionMr. Wolfe builds a new deck in the shape shown below. Explain how to find the area of the deck, and solve.
Answers
Answer:
144
Step-by-step explanation:
your welcome
Answer:
add them it's 23 ㋛︎㋛︎㋛︎㋛︎㋛︎
6.5472 rounded to the hundredths place
Answers
Answer:
6.55
Step-by-step explanation:
what is the slope-intercept form of the equation of a line with a slop of 5 and a y-intercept of -8
Answers
Answer:
y=5x-8
Step-by-step explanation:
Its right so just deal with it >:D
Wihich is the best reason why 3/5 is the exact quotation for 1/2 / 5/6?
Answers
Answer:
(3/5 times 5/6 = 1/2)
Step-by-step explanation:
On a coordinate plane, point A is 7 units to the left. Point B is at (0, 0). Point C is 7 units to the right. Point D is 7 units up .Point E is 7 units down.
Which point is located at (0, –7)?
Answers
Answer:
point a
Step-by-step explanation:
(0,-7) would be left 7 units so its point a
Answer:
Point E
Step-by-step explanation:
In (x,y) it represents horizontal, then vertical coordinates. So, if x is 0, that means it hasn't moved left or right. Since y is -7, that means it when down by 7 units from the origin.
Hi can anyone help me with this and explain
Question:
Brian likes to feed the ducks.The first day he uses 2 slices of bread.The second day he uses 6 slices of bread.If this pattern continues,how many slices of bread will he use on the tenth day? and why please explain.
Answers
Answer:
6
Step-by-step explanation:
So they give you the two numbers you need so for ten days
you keep the pattern going on till ten
2,6,2,6,2,6,2,6,2,6
he will use 6 pieces of bread
10. Susan will take out a loan for $7500 to buy a used car. The simple
interest rate is 5% for 5 years. How much money will she pay the bank
back in total?
Answers
Answer:
$9375
Step-by-step explanation:
Given data
Loan= $7500
rate= 5%
time= 5 years
Required
The final amount A
Let us apply the simple interest formula, we have
A= P(1+rt)
substitute
A=7500(1+0.05*5)
A=7500(1+0.25)
A=7500*1.25
A=$9375
Hence Susan will have to pay $9375
Scatter plot 2 answers