Applying the volume of a rectangular prism, the following are determined:
A & G has a solution of 120.
B & F: 714
C & E: 56
D & H: 9.5
What is the Volume of a Triangular Prism?Volume = base area × height of prism = 1/2(bh) × H
A. Volume = 1/2(bh) × H = 1/2(6)(8) × 5 = 120 units³
B. Volume = 1/2(bh) × H = 1/2(6)(14) × 17 = 714 units³
C. Volume = 1/2(bh) × H = 1/2(12)(8) × x = 2,688 units³
48x = 2,688
x = 2,688/48
x = 56 units (height of the prism)
D. Volume = base area × height of prism
Plug in the given values
27.36 = base area × 2.88
27.36/2.88 = area of triangular base
area of triangular base = 9.5 units².
E. Volume = 1/2(bh) × H = 1/2(8)(15) × x = 3,360 units³
60x = 3,360
x = 3,360/60
x = 56 units (height of the prism)
F. Volume = 1/2(bh) × H = 1/2(17)(4) × 21 = 714 units³
G. Volume = 1/2(bh) × H = 1/2(3)(5) × 16 = 120 units³
H. Volume = 1/2(bh) × H = 1/2(1.9)(2) × 5 = 9.5 units³
Learn more about volume of triangular prism on:
https://brainly.com/question/21173224
#SPJ1
PLEASE HELP ME!!!!!!!
Find the next term of the sequence.
21, 15, 9, 3,...
Answer:
-3
Step-by-step explanation:
So 21 - 6 = 15
15 - 6 = 9
9 - 6 = 3
3 - 6 = -3
Hope it helps :))
help pleaseeeeeeeee
Anwar is thinking of a number. He gives three clues about his number: It is an odd number; The number is less than -12; and The absolute value of the number is between 10 and 14. What is Anwar's number?
Answer:
-13
Step-by-step explanation:
it must be either -11 or -13. -13 is less than -12.
Find the circumference of a circle with diameter,
d
= 2.69m.
Give your answer rounded to 2 DP.
Answer:
C = 8.45 m
Step-by-step explanation:
The equation to find the circumference of a circle is:
[tex]C=2\pi r[/tex]
r = radius
To find the radius, divide the diameter by 2:
r = 2.69 m/2 = 1.345 m
Now, plug the radius into the equation:
[tex]C = 2\pi (1.345)[/tex]
Use a calculator to get the final answer:
C = 8.45 m
Hope this helps!!
Isolate the literal equation
Answer:
b. h = 2A/b.
Step-by-step explanation:
A = 1/2 bh
Multiply through by 2:
2A = bh
Divide both sides by b:
h = 2A/b.
The function f(x) is shown on the graph.
The graph shows an L-shaped curve, which follows along the x-axis from the left, but is not touching it. It crosses through 0 comma 1 to and then increases upward in quadrant one.
IMAGE BELOW
Which type of function describes f(x)?
Rational
Polynomial
Logarithmic
Exponential
Considering that the graph contains an asymptote and does not cross it, an exponential function is modeled.
What is an exponential function?It is modeled by:
[tex]y = ab^x + c[/tex]
In which:
a is the y-intercept.b is the rate of change.y = c is the asymptote, which is not crossed by the function.Hence, in this problem, an exponential function with asymptote at y = 0 is modeled by the graph.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
Answer: Logarithmic
Step-by-step explanation:
it correct
Please I really need help
Answer:
its b i think maybe i might be wrong
Step-by-step explanation:
have a nice day :)
3) What time will it be 13 hours and 17 minutes before 4:54 a.m.?
Answer:
9:41
Step-by-step explanation:
Let's solve this in the most simplified version.
⇒ 4: 54
⇒ 13 Minutes Before
( 54 - 13)
= 4:41
Subtract 13 from 4
= -9
Eliminate the negative sign.
⇒ 9:00 .
Add the "41" to the time:
⇒ Final result: 9:41
Which statements are true based on the Pythagorean identities??
Answer:
2 .3 and 5
Step-by-step explanation:
The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has only completed some college is chosen at random, what is the probability that they are aged 20-29? Round your answer to the nearest thousandth.
Answer:
=0.291
Step-by-step explanation:
number of residents who have completed some college =5372
number of residents who has completed college and age group 20-29years=1563
1563/5372
=0.29095
Imagine a cannonball being launched from a cannon on a very high cliff. What mathematical ideas/concepts are involved? What can be measured?
The mathematical ideas that are involved in the cannonball are quadratic functions and parabolas
What are the mathematical ideas/concepts are involved?When the cannonball is launched, it would follow a parabolic path.
Parabolas are represented by quadratic functions.
Hence, the mathematical ideas/concepts are involved are quadratic functions and parabolas
What can be measured?The quantities that can be measured are:
TimeHeightDistanceRead more about parabolic paths at:
https://brainly.com/question/2420754
#SPJ1
12
In a neighborhood an of the lots have three or more trees. Which percentage is equivalent to the portion of lots
the neighborhood with three or more trees?
Answer:
30%. Based on the given conditions, formulate: 12/40 Cross out the common factor: 3/10 Multiply a number.
Step-by-step explanation:
Find the mean 28,18,19,18,17
Answer:
The mean is 20.Step-by-step explanation:
To find:
The mean.Given:
The mean is calculated by dividing all the values in a set by their left-to-right numbers.
To begin, add up all the means numbers.
Solve.
Solutions:
[tex]\Longrightarrow: \sf{28+18+19+18+17=100}[/tex]
Five mean numbers are given.
All you have to do is divide them.
[tex]\Longrightarrow: \sf{100\div5=\boxed{\sf{20}}[/tex]
[tex]\Longrightarrow: \boxed{\sf{20}}[/tex]
Therefore, the mean 28, 18, 19, 18, 17 is 20, which is our answer.I hope this helps, let me know if you have any questions.
Good luck with your assignment!
Learn more about how to find the mean at:
https://brainly.com/question/16586775
What value of n makes the inequality true? |n| > |–2.5|
Answer: n > 2.5 or n < -2.5
Step-by-step explanation:
Let's solve your inequality step-by-step.
1. Solve Absolute Value.
|n| > 2.5
We know either n > 2.5 or n < -2.5
n > 2.5 (Possibility 1)
n < -2.5 (Possibility 2)
Your answer is n > 2.5 or n < -2.5
Please solve the attached
Find the area of shaded region.
Answer:
340 cm^2
Step-by-step explanation:
Given:
Figure
To Find:
Area of the shaded region
Solution:
Area of shaded region:
[tex] \rm= Area \: of \: trapezium \: ABCD - Area \: of \: Trapezium \: EHGF[/tex]
We know that,
[tex] \rm \: Trapezium = 1/2 × (a+b)×h \: \: \: sq. units [/tex]
So,
[tex] \rm = 1/2 × (a+b)×h \: \: \: - 1/2 × (a+b)×h [/tex]
Trapezium ABCD:
According to the formula,
a =40b=24h = 25Trapezium EHGF:
a = 30b = 16h = 20Substitute:
[tex] \tt= \cfrac{1}{2} (40 + 24) \times 25 - \cfrac{1}{2} (30 + 16) \times \: 20[/tex]
[tex]\tt= \cfrac{1}{2} (64) \times 25 - \cfrac{1}{2} (46) \times \: 20[/tex]
[tex]\tt = \cfrac{1}{2} \times 1600 - \cfrac{1}{2} \times 920[/tex]
[tex] \tt \: = 800 - 460[/tex]
[tex] \rm = 340 \: cm {}^{2} \: or \: sq. \: cm[/tex]
Thus, the area of the shaded region will be 340 cm^2 .
Can someone please help me!? I will mark them as the Brainly est
Answer:
Your answer is 5/18
Step by step Explanation:
8/9 × 16/5
When we divide it becomes reverse so,
8/9 × 5/16 = 5/18.
Tom pays $1506 in rent every month. This amount is $50 more than twice what his brother Arturo pays for
rent. How much does Arturo pay for rent?
Answer:
$3062
Step by Step Explanation:
Arturo's rent can also be written as an expression
2t + 50
This is basically showing that two of Tom's rent plus $50 gives you his brother's rent.
So 2(1506) + 50
3012 + 50
3062
Can anyone help with this pleases
can you help me:(( please..
Answer:
it's a non-function
Sam traveled 20 miles in 3 hours.
Sam walked part of the distance at a speed of 4 miles per hour.
Sam rode his bicycle for the remaining distance at a speed of 12 miles per hour.
note: this question has been asked before but i do not believe it was answered correctly, it was solved using 4 hours instead of 3
Answer:
see below
Step-by-step explanation:
distance / rate = time
x = walking distance 20 -x = biking distance
x / 4 m/hr + (20-x) / 12 m/hr = 3 hours
x/4 + ( 20-x) /12 = 3 multiply both sides of the equation by 12
3x + 20 -x = 36
2x = 16
x = 8 8 miles walking then 12 miles biking
Which one of the following choices is NOT affected by soil?
A. How well plants can grow.
B. The rate at which erosion occurs.
C. How quickly carbon reacts with minerals.
D. How water flows across the surface of the Earth.
The points (4,10) and (s,0) fall on a line with a slope of 10. What is the value of s?
Answer:
s = 3
Step-by-step explanation:
Solving
10 = 0 - 10 / s - 410 (s - 4) = -10s - 4 = -1s = 3Answer:
-140
Step-by-step explanation:
PLEASE HELP 80 PTS.
Math stuff...
Answer:
a) m∠6 = 55 and m∠8= 55 - 20 --> m∠8= 35 x = 55
b) m∠7 = 40 and m∠9 = 140 x = 40
c) m∠8 = 46 and m∠7 = 46 x = 18
d) m∠6 = 63 and m∠7 = 27 x = 9
(just like the note says at the top each one is a different problem hence the different answer or each angle even if its the same one)
Step-by-step explanation:
I've attached my work
Sorry it took so long
Please give me feedback on my repsomse by commenting,
any way i can improve showing my work?
Hope it helps, let me know if you have questions !
Have a nice rest of your day :)
Answer:
PLEASE HELP 80 PTS.
Step-by-step explanation:
A three digit number is to be made using the digits 1,3,5,8 how many numbers can be made of all digits must be different
Answer:
24 Numbers can be made that are different!
Step-by-step explanation:
I got 24 numbers
1358 , 1385 , 1835 , 1853 , 1583, 1538
3581 , 3518 , 3851 , 3815 , 3185 , 3158
5381 , 5318 , 5138 , 5183 , 5813 , 5831
8531 , 8513 , 8153 , 8135 , 8351 , 8315
Hope this helps!
Anna and grace a twin baby girls. At birth, and I was 18 inches long and grace was 19 1/2 inches long. Each of them grew 3/4 inch per month for the first five months. Complete the table to show the length of each baby at the end of each of the first five months.
Answer:
(Anna)
month 1: 20 1/4
m2: 20
m3: 20 2/3
m4: 21 1/2
(Grace)
month 1:18 3/4
m2: 19 1/2
m3: 20 1/4
m4: 21
Step-by-step explanation:
you just take the first month plus 3/4 and then take the answer to that plus 3/4 and just do that repeatedly till you reach your needed
hope it's right and helps!!
. The depth of the Atlantic Ocean at a channel buoy off the coast of
Maine can be modeled by y = 5 - 3cos (pi/6t) where y is the water depth
in feet and t is the time in hours. Consider a day in which t=0
represents 12:00 midnight.
a. For that day (in 24 hours), when do the high and low tides occur?
b. What are the respective depths of the ocean at high tides and low
tides?
a)The high and low tides occur at when the value of cos function is an odd and even multiple of the π respectively.
b)The respective depths of the ocean at high tides and low tides will be 8 ft and 2 ft.
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
Modeling the depth of the Atlantic Ocean at a channel buoy off the coast of Maine is;
[tex]\rm y = 5-3 cos (\frac{\pi}{6} t)[/tex]
a) High tide's value of 'y' when the value of y is maximum. value of cosine is minimum.
The minimum value of cosθ = 1.
The standard form to write the cos function is as;
θ=(2n+1)π
Whenever. high tides occur when it equals odd multiples of π. Similarly, at a Value of even multiples of even function, low tides are at their peak.
Hence,the high and low tides occur at when the value of cos function is an odd and even multiple of the π respectively.
At high tide;
соsӨ = - 1 (min value)
y= 5-3(-1)
y = 5+3
y=8 ft
At low tide,соsӨ = + 1 (max value)
y =5-3(1)
y= 5-3
y= 2
Hence,the respective depths of the ocean at high tides and low tides will be 8 ft and 2 ft.
To learn more about the function refer:
https://brainly.com/question/5245372
#SPJ1
What is the midpoint of the segment joining the points (4, -2) and (-8, 6)? A. (6,4)
B. (-6,-4)
C. (2,2)
D. (-2,2)
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -8 + 4}{2}~~~ ,~~~ \cfrac{ 6 -2}{2} \right)\implies \left( \cfrac{-4}{2}~~,~~\cfrac{4}{2} \right)\implies (-2~~,~~2)[/tex]
Find the unknown angles of triangles.
Please help me...!!!
Let's take this fun problem step-by-step:
Let's first analyze the triangle: ΔBRE
∠B + ∠E + ∠R = 180
45 + 35 + ∠R = 180
∠R = 100 ⇒ ∠BRE = 100 degrees
Now let's analyze ΔAQD
∠A + ∠Q + ∠D = 180
30 + ∠Q + 50 = 180
∠Q = 100 degrees ⇒ ∠AQD = 180 degrees
Now let's consider another fact:
AQC is a straight line⇒ meaning that ∠AQD + ∠RQC = 180 degrees
⇒ ∠RQC = 180 degrees - ∠AQD = 180 - 100 = 80 degrees
CRE is a straight line⇒ meaning that ∠BRE + ∠BRC = 180 degrees
⇔ ∠BRC = 180 degrees - ∠BRE = 180 - 100 = 80 degrees
Now let's consider ΔQRC:
∠BRC + ∠RQC + ∠QCR = 180 degrees
80 + 80 + x = 180
x = 20 degrees
Answer: 20 degrees
Hope that helps!
Will make brainiest and you only have to at least answer one question pls
change 290 grams to pounds
change 87 grams to ounces
change 1,038 mph to feet per second
change 65 miles per hour to kilometers per hour
Answer:
change 290 grams to pounds= 0.639 pounds
change 87 grams to ounces= 3.069 ounces
change 1,038 mph to feet per second= 1522.4 feet per second
change 65 miles per hour to kilometers per hour
= 104.607 kilometers per hour
Hope this helps.
Water has a specific heat of 4.184 J/g°C and requires 23,000 J of heat to raise the
temperature 68° C. What is the mass of the water?
Answer:
[tex]m=80.840 kg[/tex]
Step-by-step explanation:
Given Data,
Q=23000 J
c=4.184 J/g °c
Δt= 68 °c
m=?
By using this equation,
Q=mcΔt
[tex]23000=m\times 4.184\times 68\\\\m=\frac{23000}{4.184\times68} \\\\\\m=80.840 kg[/tex]