A rectangular prism has a base area 56 ft.² and a volume of 840 ft.³ the length of the base is longer than the width if the sum of the length and the width of the base is equal to the height of the pyramid what is the length of the base in feet
Answer:
The length of the base in feet is 8 ft.
Step-by-step explanation:
The volume V of the rectangular prism is given by
V = l × w × h
But Area, A = l × w
∴ V = A × h
Where A is the base area and h is the height
From the question
A = 56 ft.² and V = 840 ft.³
∴ 840 ft.³ = 56 ft.² × h
840 ft.³ / 56 ft.² = h
15 ft. = h
∴ h = 15 ft.
Hence, the height of the rectangular prism is 15 ft.
Also, from the question
the sum of the length and the width of the base is equal to the height
i.e l + w = h
where l is the length of the base and w is the width of the base
Then, l + w = 15 ------ (1)
Also, A = l × w
Then, 56 = l × w ------- (2)
From equation (1)
l + w = 15
Then, w = 15 - l ------- (3)
Substitute this into equation (2)
56 = l × w
56 = l × (15-l)
56 = 15l - l²
Then,
l²- 15l + 56 = 0
l² -8l -7l + 56 = 0
l(l - 8) -7(l - 8) = 0
(l - 7)(l - 8) = 0
l - 7 = 0 OR l - 8 = 0
∴ l = 7 OR l = 8
Substitute the values of l into equation (3)
w = 15 - l
when l = 7
w = 15 - 7
w = 8
and when l = 8
w = 15 - 8
w = 7
From the question, the length of the base is longer than the width
∴ l = 8 and w = 7
Hence, the length of the base in feet is 8 ft.
Determine the number of solutions:
36 - 7x = -7(x - 5)
Answer:
There are no solutions to this equation.
Step-by-step explanation:
Answer:
5.0714285714
Step-by-step explanation:
check the photo
:)
PLEASE HELP I NEED THIS QUICK IMAGE ATTATCHED
label the answers please! like with either letter/numbers
ex.) 1. ( The answer to 1.)
2. (The answer to 2.)
Thankyou!
Answer: 3x+5, (3x+5)*3 and 5x+4x+15
Step-by-step explanation:
Answer: I think the first one is 3x+5 since it’s a triangle, just divide it by 3 for one side.
5- 3x+5(3) and (6x+10) +(3x+5)
6- they’re equivalent because if you multiply each value for the first equation by 3, you get the original equation, the second is equal at because 6x+10 is equal to 2 sides while 3x+5 is still equal to one, so adding thos together would still give you the original equation, I’m sorry if this is wrong.
Step-by-step explanation:
Given the table below, determine if the data represents a linear or an exponential function and find a possible formula for the function. x 0 1 2 3 4 f(x) 0 2 4 6 8 a. Exponential; y = 1 (1.2) Superscript x c. Exponential; y = 2 (1.1) Superscript x b. Linear; y = 2x d. Linear; y = x
Answer:
Its B
Step-by-step explanation:
If you look at how the chart is flowing, the y values are 2 times the x value.
for example,
1x2=2
2x2=4
3x2=6
and
4x2=8
Therefore, the equation is linear and y=2x
Answer:
b. Linear; y = 2x
Step-by-step explanation:
PLEASEEE HELP I JUST NEED TO KNOW WHICH ONES ARE TRUE AND FALSE
Answer:
Step-by-step explanation:
1-true
2-false
3-true
4-false
Follow the Order of Operations to simplify each expression below. 2(9-6)2/18
Answer:
3
Step-by-step explanation:
DONT CLICK LINKS THEY ARE TRY TO GET INFO FROM YOU THRY ARE LYING
Answer:
they try to hack you and steal information that others should not know!! always report them.
Step-by-step explanation:
Answer please..........
Answer:
[tex]x = ln(2 - 1) [/tex]
50 hundredths = ______ thousandths equals?
Answer:
50/100 = 500/1000 or alternatively .50 = .500
Answer:
500
Step-by-step explanation:
50 hundredths written in standard form is 0.50 .
**Adding zeroes to the end of a decimal does not change the value of the number.
1 hundredth = 0.01
1 thousandth = 0.001
So, if there are 50 hundredths, how many thousandths would there be?
The difference between hundredths and thousandths are the placement of the decimal point and how many decimal places there are after it. Hundredths have 2, while thousandths have 3.
Back to the example, 1 hundredth = 10 thousandths:
0.01 = 0.010
If there are 50 hundredths, that would mean that there are 10 times more thousandths in the same number.
0.50 = 0.500
50 hundredths = 500 thousandths
Not sure if i chose the right one?
Answer:
113.04 ft³ is correct
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius and h the height )
There are 2 cones to be summed one with h = 7 , the other with h = 5
Thus
V = [tex]\frac{1}{3}[/tex] π × 3² × 7 + [tex]\frac{1}{3}[/tex]π × 3² × 5
= [tex]\frac{1}{3}[/tex] × 3.14 × 9 (7 + 5)
= 3.14 × 3 × 12
= 113.04 ft²
Find the value of the variable.
8
4
6
y =
9514 1404 393
Answer:
y = 12
Step-by-step explanation:
The angle bisector divides the sides proportionally.
y/6 = 8/4
y = 6·8/4
y = 12
Answer:
Solution :-At first we know that
In a bisector
[tex] \sf \: a \times c = b \times d[/tex]
[tex] \bf \: 8 \times 6 = 4 \times y[/tex]
[tex] \bf \: 48 = 4y[/tex]
[tex] \bf \: y = \dfrac{48}{4} [/tex]
[tex] \bf \: y = 12[/tex]
solve this for me plzzzz and thxxx
find the slope of the line that passes through points (2,8) and (1,3)
Answer:
Slope is m = 5
Step-by-step explanation:
The slope of the line that passes through the points on the graph of the function is
First answer is:
150
Second answer is:
B. Is is the common difference.
Confused!? Pls, help me correctly and quickly.
Answer:
The new figure would be 9 by 15
Step-by-step explanation:
answer answer answer answer
Answer:
[tex]12 \leqslant x < 26[/tex]
answer this question for 50 points
Answer:
It should be b
Step-by-step explanation:
Use the information below to respond to numbers 5,6,7 and 8.
Celeste was selling meal tickets for the holiday program at her school. The cost of a dinner ticket is
$10. She is also selling dessert tickets for $6. She lost track of how many of each ticket she sold;
however, she remembered that she was given 100 tickets and she collected $900.
The system of equations shown can be used to represent this situation:
S x + y = 100
(10x + 6y=900
5. What does the variable x represent in the system of equations? *
1 point
O A. The number of dinner tickets sold.
O B. The number of dessert tickets sold.
O C. The number of dollars collected for dinner tickets.
D. The number of dollars collected for dessert tickets.
O Other:
X is next to the number 10, so x would be the number of dinner tickets sold.
Rewrite x + y = 100 to x = 100-y
Now replace that in the 2nd equation:
10(100-y) + 6y = 900
Simplify:
1000 -10y + 6y = 900
Combine like terms:
1000 -4y = 900
Subtract 1000 from both sides
-4y = -100
Divide both sides by-4
Y = 25
Replace y in the first equation and solve for x
X + 25 = 100
X = 75
A) 75 dinner tickets were sold
B) 25 dessert tickets were sold
C) 75 x 10 = $750
D) 25 x 6 = $150
Gerald bought a computer on the installment plan. The price was $1,560. He paid $82 a month for 24 months. What is his total cost for the computer? O $1,560 O $1,680 O $1.724 O $1.968
Answer:
$1,968
Step-by-step explanation:
If he paid $82 for 24 months when you mulitply 82 by 24 you get 1968. So the total computar was $1,968
My someone pls help me
Answer:
No its not a proportion, the numerators can't be divided evenly
Step-by-step explanation:
If the length of an arc of measure 55 degrees is 3.87 inches find the circumference of the circle
Answer:
25.33 is the circumference of the circle
Step-by-step explanation:
Here, given the measure of the arc, we want to get the circumference of the circle
mathematically, the length of an arc can be calculated using the formula;
theta/360 * 2 * pi* r
where 2 * pi * r = circumference of the circle
theta is the angle subtended at the center which is 55 degrees in this case
Thus, we have ;
55/360 * 2 * pi * r = 3.87
2 * pi * r = (3.87 * 360)/55
2 * pi * r = 25.33 inches
Seth has some $1 bills and some $5 bills. In total he has 6 bills that are worth a total of $22. Write a system of equations and solve to find out how many $5 bills Seth has.
5. What is the slant height of a right pyramid whose
lateral area is 90 ft- and whose base is a regular
hexagon with a 3 ft side?
A. 3 ft
B. 10 ft
C. 30 ft
D. 270 ft
Ms. Ruiz has a piece of fabric that is 3 3/4 yards long. She waves to cut it into 12 equal pieces. How many yards will each piece of fabric be
Answer:
the number of yards be 0.3125
Step-by-step explanation:
The computation of the number of yards will each piece of fabric be is shown below:
Given that
There is [tex]3 \frac{3}{4}[/tex] yards long i.e. 15 ÷ 4
And, it should be cut into 12 equal pieces
So, the number of yards will each piece of fabric be is
= 15 ÷ 4 ÷ 12 ÷ 1
= 15 ÷ 48
= 0.3125
Hence, the number of yards be 0.3125
Answer:
5/16
Step-by-step explanation:
3 3/4= 13/4
13/4 ÷ 12= 0.3125
0.3125 = 5/16
The difference of a number mand thirty is ten. How do you write this as a equation?
Answer: x - 30 = 10
Step-by-step explanation:
x - 30 = 10
x = 30 + 10
x= 40
If you see someone who is injured at a workplace, the first thing you should do is _____.
A) call 9-1-1 or your local emergency number
B) begin to administer first aid
C) check the scene for danger
D) try to discover what is wrong with the person
{ The correct answer is C just took the quiz.}
Answer:
c
Step-by-step explanation:
Ken ate half of his Takis. He gave 22 Takis to his best friend Moe. There are 38 Takis remaining in the bag. How many Takis were originally in the bag?
Answer:
I don't really know its 9 servings tho but it doesn't explain how many are total im sorry
Step-by-step explanation:
Please help me find the slope!!!!!
Answer:
Slope = 3/2 or [tex]1\frac{1}{2}[/tex] or 1.5
Step-by-step explanation:
Points on graph: (0, 0) and (2, 3)
Slope:
m=(y2-y1)/(x2-x1)
m=(3-0)/(2-0)
m= 3/2
If abc avw find the values of x and y
Answer:
x=7.2 y=7.5 this is the answer
Please answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!