Answer:
4.5inches
Step-by-step explanation:
Given the volume of a prism expressed as:
V =lwh where:
l is the length
w is the width,
h is the height of the prism.
Given
V = 138.24in³
h = 9.6in
l = 3.2in
w = ?
Substitute the given values into the formula to get the width
138.24 = 9.6*3.2*w
138.24 = 30.72w
w = 138.24/30.72
w = 4.5in
Hence the width of the rectangular prism is 4.5inches
The width of the rectangular pyramid that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches is 4.5 inches.
Volume of a rectangular pyramid:v = lwhwhere
l = length
w = width
h = height
v = 138.24 inches³
h = 9.6 inches
l = 3.2 inches
w = ?
138.24 = 9.6 × 3.2 × w
138.24 = 30.72w
w = 138.24 / 30.72
w = 4.5 inches
learn more on volume of a rectangular pyramid here: https://brainly.com/question/13410734?referrer=searchResults
4.) solve for f(g(2))
Answer:
[tex]f(g(2))=10[/tex]
Step-by-step explanation:
We have the two functions: [tex]f(x)=3x-5[/tex] and [tex]g(x)=2+\frac{6}{x}[/tex].
We want to find [tex]f(g(2))[/tex].
So, let's use the second function to find [tex]g(2)[/tex] first:
[tex]g(2)=2+\frac{6}{2}[/tex]
Divide:
[tex]g(2)=2+3[/tex]
Add:
[tex]g(2)=5[/tex]
Therefore, our expression is the same to [tex]f(g(2))=f(5)[/tex].
Now, we can substitute 5 for f(x). This yields:
[tex]f(5)=3(5)-5[/tex]
Multiply:
[tex]f(5)=15-5[/tex]
Subtract:
[tex]f(5)=10[/tex]
So:
[tex]f(g(2))=10[/tex]
And we're done!
The sum of two integers is 5. Their difference is 3. What are
the two integers?
A
4 and 1
B -1 and 3
С
- 7 and 12
6 and 1
Fill in the box below to write an expression that is equivalent to:
7 (2x + y)
8x + 2y + 9x + 5y -
The perimeter of an equilateral triangle is 96 inches. If the length of each side is (2x + 6), find the value of x.
An equilateral triangle has three equal sides. Let's try to first find the actual value of each side of the triangle!
1. Let's first find the length of each side of the triangle in inches based on the information we know!96 inches is the perimeter of the triangle. The triangle has three equal sides. We can find the length of each side by dividing 96 inches by 3!
96 / 3 = 31 inches
The length of each side in the equilateral triangle is 31 inches.
2. Now, let's find x using the information we know!We know that the length of each side is 2x + 6, and we previously found that the length of each side in the equilateral triangle is 31 inches. We are trying to find x, so we can create an equation and isolate x!
31 = 2x + 6
-6 -6
25 = 2x
÷2 ÷2
12.5 = x
Yay, we just found x! That's the answer! Feel free to ask any questions if you need help. I'm not here to judge; I'm here to help. :)
What is the estimated age of Earth?
Answer:
4.543 billion years i think, i apologize if im wrong
Step-by-step explanation:
Answer:
4.54 billion years
Step-by-step explanation:
Scientists use the layers of rock of the Earth's crust/core to estimate how old is the earth.
Malik completed 7 1/2 math problems in 10 1/3 minutes. If he has 20 problems on his homework, how long will it take him to complete his homework at the same pace?
Answer:
14.52 min
Step-by-step explanation:
7.5 prob in 10.33333 min
7.5/10.333 =.7258 prob per min
.7258 ×20 prob = 14.52 min
I converted to decimals but you don't have to
The population in a certain town is increasing linearly each year. The population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990
Answer:
1999
Step-by-step explanation:
The equation which represents the given situation is P=180t+620.
Given that, the population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, the standard form of the population is increasing linearly is P = mt + b.
Where m is the slope = (y2-y1)/(x2-x1)=(1520-1160)/(5-3)
=360/2
=180
So, 1160=180 × 3 + b
⇒ 1160=540 × 3 + b
⇒ b=620
Then, the equation is P=180t+620
Therefore, the equation which represents the given situation is P(t)=180t+620.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
The population in a certain town is increasing linearly each year. The population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990.
If P(t) is the population at time t, which of these equations correctly represents this situation?
Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests
every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
4
6
10
will give out brainliest, a THX, a friend request, and will rate ur answer
Answer:
E. 35/4
Step-by-step explanation:
Multiply denominator (4) to the whole number (8) then add to the numerator (3)
(8× 4 + 3)/ 4
(32 + 3)/4
35/4
helpppplpppplllplplp!!!??!
Answer:
my answer came out to 8.3 repeating
Step-by-step explanation:
Solve the equation.
NEED HELLPPPPPPP!!!
B^3 = 1000
Take the cubic root of both sides:
b = ∛1,000
∛1000 = 10 x 10 x 10
b = 10
Which of the four is it?
Answer:
option 1 i believe
Step-by-step explanation:
just worked it out
i hope this is right and helps <3
a kinder garden class has 9 girls and 11 boys in class what percent of the class are girls
Answer:
45%
Step-by-step explanation:
i am not that sure but when i calculated it, i got this answer.
Answer: 55%
Explanation: 11 boys and 9 girls.....total of 20 students in the class.
of those students, 11 are boys...
11/20 = 0.55 = 55% <== so 55% are boys
You had planned to go out for pizza with your friends Saturday night. You’ve all gathered at your place but when you’re about to leave, it starts to snow heavily, so you decide to have a pizza party at your place. The pizza delivery guy shows up with your order much sooner than you expected. The bill is $133.32. How much would you tip him? Explain your reasons for deciding how much to tip.
Answer:
$20
Step-by-step explanation:
the delivery guy show up early and that guy deserve 20bucks
inequality is shown 1/8
Answer: answer is D 0.02
Step-by-step explanation:
Got it right
write 615,600 in scientific notation
Answer:
= 6.156 × 105
(scientific notation)
Step-by-step explanation:
= 6.156 × 105
(scientific notation)
= 6.156e5
(scientific e notation)
= 615.6 × 103
(engineering notation)
(thousand; prefix kilo- (k))
= 615600
(real number)
Multiple 7/9 to the sum of 8 3/7 and 5 11/14
[tex] \frac{7}{9} \times (8 \frac{3}{7} + 5 \frac{11}{14}) = \\ [/tex]
[tex] \frac{7}{9} \times (8 \frac{6}{14} + 5 \frac{11}{14} ) = \\ [/tex]
[tex] \frac{7}{9} \times (13 \frac{6 + 11}{14}) = \\ [/tex]
[tex] \frac{7}{9} \times (13 \frac{17}{14}) = \\ [/tex]
[tex] \frac{7}{9} \times (14 \frac{3}{14}) = \\ [/tex]
[tex] \frac{7}{9} \times ( \frac{14 \times 3 + 3}{14}) = \\ [/tex]
[tex] \frac{7}{9} \times ( \frac{42 + 3}{14}) = \\ [/tex]
[tex] \frac{7}{9} \times ( \frac{45}{14}) = \frac{7 \times 45}{9 \times 14} = \frac{5}{2} \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Answer:
[tex]\displaystyle \frac{199}{18}[/tex]
Step-by-step explanation:
Fraction Operations
Before attempting to operate with the given fractions, we need to express all of them in the form a/b, because the last 2 fractions are in mixed form.
[tex]\displaystyle 8\frac{3}{7}=8+\frac{3}{7}=\frac{8*7+3}{7}=\frac{59}{7}[/tex]
[tex]\displaystyle 5\frac{11}{14}=5+\frac{11}{14}=\frac{5*14+11}{14}=\frac{81}{14}[/tex]
Now for the sum of the last two fractions:
[tex]\displaystyle \frac{59}{7}+\frac{81}{14}[/tex]
Make both denominators equal by multiplying by 2 both parts of the first fraction:
[tex]\displaystyle \frac{59}{7}+\frac{81}{14}=\frac{118}{14}+\frac{81}{14}[/tex]
[tex]\displaystyle =\frac{118+81}{14}=\frac{199}{14}[/tex]
Now multiply by 7/9:
[tex]\displaystyle \frac{199}{14}*\frac{7}{9}=\frac{199}{18}[/tex]
Measures of two anges 48 degrees are shown in a triangle. Write a equation showing the value of X
Answer:84
Step-by-step explanation:
Since each trinagle's interior angles which is the angles in side the triangle always add up to 180 you could add the 2 given and then subtract by 180 so 48+48 which equals 96 then 180-96 which will give you 84 as x
Answer
48+48+x=180 x=84
Step-by-step explanation:
The sum of the 3 interior angles of a triangle is always the sum of 180 degrees.
In short, this means that all three angles have to equal up to 180 degrees
48+48=96
180-96=84 x=84
To check your answer add
48+48+84 should equal 180. It does
Hope this helps
HELP ME PLEASE!!!!!!!!
Answer:
sure with what
Step-by-step explanation:
Max’s age is twice George’s age minus 5. The sum of Manuel’s age and Gupta’s age is 31. Let g represent George’s age. The equation 2g - 5 + g = 31 represents this situation. Complete this statement: Max is ____ years old and George is ____ years old.
Q:What is the scale factor of this dilation?
1. 1/2
2. 1/3
3. 2
4. 3
Answer:
C. 2
Step-by-step explanation:
You can figure it out by multiplying the pre-image by 2 resulting in the image
given the regular polygon, select all of the rotations and reflections that carry the figure onto itself.
Answer:
A. A rotation of 72º around the center, point D.
C. A reflection across line b through one vertex, the center d.
E. A reflection across line c, and the midpoint of the opposite side
Step-by-step explanation:
From Euclidean Geometry we get that sum of internal angles inside a polygon equals 360º and there is the following relationship in regular polygons:
[tex]\theta = \frac{360^{\circ}}{n}[/tex] (Eq. 1)
Where:
[tex]\theta[/tex] - Internal angle, measured in sexagesimal degrees.
[tex]n[/tex] - Number of sides, measured in centimeters.
If we know that [tex]n = 5[/tex], then internal angle of regular pentagon is:
[tex]\theta = \frac{360^{\circ}}{5}[/tex]
[tex]\theta = 72^{\circ}[/tex]
In consequence, rotating the regular pentagon 72º around the pentagon carries the figure onto itself due to angular symmetry. (Correct answer: A)
By adding any line passing the center of the regular pentagon (i.e. line cc', line bb'), which is collinear to any vertex and any point of the figure, we guarantee conditions of length symmetry so that reflection carries the figure onto itself. (Correct answers: C, E)
Answer:
Step-by-step explanation:
Thank you
Heellllpppp plzzzzzzzzzzz
Answer:
3/32
Step-by-step explanation:
the reason it’s 3/32 is because you have to divide 3/4 divide by 8. So that means 3/4x1/8 and that gives you 3/32. I hope that helped you!
PLEASE HELP PICTURE ATTACHED
Answer: Its 48in
Step-by-step explanation:
Love you all. And good luck.
Identify the slope and y-intercept of the line on the graph. The write the equation of the line in slope-intercept form.
Answer:
7. m= 3 b= -4
Step-by-step explanation:
The line has a slope of 3/1 and a y-intercept of 0, -4. y=3x-4
HELP PLEASE GIVING BRAINLIEST AND 10 POINTS!!!!
Answer:
She can hike 24 miles in 12 hours. Have a nice day. :)
Step-by-step explanation:
Answer:
Step-by-step explanation: Im confised. so sorry
What would make the following equation true?
-4+_____=2m+(3m-4)
A tree is standing next to a 80 foot high building. At the same time of day, the tree has a 36 foot shadow, while the building has a 32 foot shadow. How tall is the tree rounded to the nearest foot?
A: 80 feet
B: 72 feet
C: 90 feet
D: 25 feet
Answer:
A, 80
Step-by-step explanation:
im just timed on this, Just a lil help plz
Answer:
The answer is 6
Step-by-step explanation:
in the picture you provided. We can clearly see that there are 4 squared and 6 circles
Solve the following system of equations using the elimination method. x – y = 11 2x + y = 19 Question 5 options: A) (–3,9) B) (10,–1) C) (–9,6) D) (–10,2)
Answer:
B.(10,-1)
Step-by-step explanation:
10-(-1)=11
2(10)+(-1)=19
20+(-1)=19