Answer:
Step-by-step explanation:
The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.
What is the volume of a prism?The volume of a prism is the total space occupied by it.
What is the density of a prism?The density of a prism is the mass occupied by the 1 cubic unit volume of the prism. The formula for the density of a prism is:
Density = Mass/Volume
How do we solve the given question?In the question, we are given a triangular prism of height 6cm, width 4cm, and length 10cm. Its density is given as 0.8 g/cm³.
We first find the volume of the prism.
The volume = Area of triangle*length = ((1/2)*6*4)*10 cm³ = 120 cm³.
Let the mass of the prism be m grams.
We know the density of the prism is given by the formula,
Density = Mass/Volume
or, 0.8 = m/120
or, m = 120*0.8
or, m = 96
∴ The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.
Learn more about density at
https://brainly.com/question/1354972
#SPJ2
Vincent gathered groups of 1 to 8 people and gave every group the same puzzle to solve. He recorded the number of minutes it took each group to solve the puzzle and plotted the results.
Answer:
Larger groups tends to take less time to solve the puzzle.
Step-by-step explanation:
It is given that Vincent gathered few groups from 1 to 8 people and he gave them the same puzzle to solve for each group. The graph is provided which show the relationship between the number of groups and the time taken by each group to solve the puzzle.
From the graph, it cam be seen that, the larger groups is more likely to take less amount of time to solve the puzzle as compared to the smaller groups.
Answer:
B
Step-by-step explanation:
Khan Academy says so
What is an
equation of the line that passes through the points (-4, -3) and
(3, -3)?
Answer:
y=-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-(-3))/(3-(-4))
m=(-3+3)/(3+4)
m=0/7
m=0
y-y1=m(x-x1)
y-(-3)=0(x-(-4))
y+3=0(x+4)
y+3=0
y=0-3
y=-3
A bacteria population is growing exponentially with a growth factor of 1/6 each hour. By what growth factor does the population change each half hour? Select all that apply
Using exponential function concepts, it is found that the change of the growth factor of the population each half hour is given by:
b. [tex]\sqrt{\frac{1}{6}}[/tex]
e. [tex]\left(\frac{1}{6}\right)^{0.5}[/tex]
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the growth factor of 1/6 each hour, hence, [tex]r = \frac{1}{6}[/tex], and:
[tex]A(t) = A(0)(1 + \frac{1}{6})^t[/tex]
For each half-hour, t = 0.5, hence the growth factor is of:
[tex]\left(\frac{1}{6}\right)^{0.5} = \sqrt{\frac{1}{6}}[/tex]
Hence, options b and e are correct.
You can learn more about exponential functions at https://brainly.com/question/25537936
Which function has a maximum that is greater than the maximum of the graph g(x)?
O y = (x + 3)2 + 2
y=-5 (x+3)2 + 4
O y=- } (x - 2)2 +3
O
y = (x - 2)2 + 4
ANSWER BOTH!!!
A. An item is regularly priced at $65. Bill bought it at a discount of 20% off the regular price. How much did Bill pay?
B. The wholesale price for a pillow is $4.50. A certain department store marks up the wholesale price by 40%. Find the price of the pillow in the department store.
Round your answer to the nearest cent, as necessary.
Answer:
A = $52.00B = $6.30Step-by-step explanation:
A. How much Bill paid AFTER the discount.Step 1: Convert the discounted percent to decimal
20% = 0.2
Step 2: Multiply the discount to the item regularly priced
0.2(65.00) = 13
So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:
Step 3: Subtract the result (the discount Bill received) from the regular price
$65.00 - $13.00= $52.00
Therefore, Bill paid $52.00
B. The price of the pillow in the department store.Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price
$4.50 × 40% = 1.8
Set up a fraction[tex]\frac{4.50}{x}=\frac{100\%}{40\%}[/tex]
The reciprocal of both sides gives[tex]\frac{x}{4.50}=\frac{40}{100}[/tex]
x = 1.8
Step 2: Add the result to the wholesale price for the pillow
4.50 + 1.8 = $6.3
Step 3: Round to the nearest cent
Add a zero behind the result = 6.30
Therefore, the price of the pillow in the department store is $6.30
Find the area of the composite figure
Answer:
370mm
Step-by-step explanation:
15mm×30mm=450mm
8mm×10mm
450mm-80mm =370mm
hi can someone pls help me, I’m confused
Answer:
(E) 72 w^2 is the answer
Step-by-step explanation:
outer square area is 81 w^2
inner square area is 9 w^2
subtracting outer - inner we can get the shaded area
so 81 -9= 72w^2
Answer:
E. 72w²
Step-by-step explain:
Area I = a × a= 9w × 9w
= 81w²
Area II = a × a= 3w × 3w
= 9w²
Shaded area = Area I - area II= 81w² - 9w²
= 72w²
#CMIIWneed answer for sin A please
Answer:
sin A = [tex]\frac{12}{37}[/tex]
Step-by-step explanation:
sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12}{37}[/tex]
Bern is flying a kite directly over his friend Frank. Bern lets out string which makes an angle of 28°
with the ground. If the kite is 175 feet above Frank, how far are Bern and Frank?
Help ASAP!!
orayt so 28 degree and 175 feet is about...the fox jumps into the lazy dog and say "c'mon barbie let's go party! ah ah ah yeah"....but i dont know the answer as well so thank you.
Answer:
Approximately [tex]329\; \rm ft[/tex], assuming that the ground between Bern and Frank is level.
Step-by-step explanation:
Refer to the diagram attached.
The kite is right above Frank. Therefore, the imaginary line segment (the dashed line segment in the diagram) would form a right angle with the ground under Frank. Bern, Frank, and the Kite would be the three vertices of a right triangle.
The question states that from the perspective of Bern, the angle of elevation of the kite is [tex]28^\circ[/tex]. In this right triangle, the side opposite to this angle would be the imaginary line segment between Frank and the kite over him. The question states that the length of this imaginary line segment is [tex]175\; \rm ft[/tex].
The question is asking for the length of the line segment between Bern and Frank. In the right triangle pictured in this diagram, that line segment would be the side adjacent to the [tex]28^\circ[/tex] angle.
The cotangent of [tex]28^\circ[/tex] would be the ratio between the length of these two sides:
[tex]\displaystyle \cot (28^\circ) = \frac{\text{adjacent}}{\text{opposite}}[/tex].
[tex]\begin{aligned}\text{adjacent} &= \text{opposite} \cdot \cot(28^\circ) \\ &= (175\; \rm ft) \cdot \cot(28^\circ) \approx 329\; \rm ft\end{aligned}[/tex].
help please i’m confused and I didn’t really have much time on this unit
Answer:
the answer is B
Step-by-step explanation:
because it is in the form ax^2+bx+c
evaluate the expression 5-(6+3i)+2i
Answer:
-1 - i
Step-by-step explanation:
First, start by distributing the negative sign(-1), and you get:
5 - 6 - 3i + 2i
Next, combine the like terms, 5 & -6, and -3i & 2i.
This gives us: -1 - i
This petite girl, short as can be is gonna jump and be free
-Rachie [My R]
for god sake pls are you serious?! i just can't believe! for a st...upi...d reason you got here before me?!? are you upset cuz you can't have what you wanted?!
Write the equation of the parabola in vertex form.
vertex(2,1),points (1,-4)
F(x)=?
Step-by-step explanation:
The general vertex form is given by
[tex]y = a {(x - h)}^{2} + k[/tex]
where (h, k) is the vertex and a is a constant. So we can write the y as
[tex]y = a {(x - 2)}^{2} + 1[/tex]
To find the value of a, substitute the point (1, -4)
-4 = a(1 - 2)^2 + 1
or a = -5
Therefore, the vertex form of the parabola is
[tex]y = - 5 {(x - 2)}^{2} + 1[/tex]
Answer the statistical measures and create a box and whiskers plot for the following set of data.
1,1,6,10,12,13,13,14,16,19
Min:
Q1:
Med:
Q3:
Max:
Answer:
Min: 1
Q1: 2.75
Med: 12.5
Q3: 8.25
Max: 19
Step-by-step explanation:
3 Edward is scuba diving. He stops 14.3 m below the surface to look at a fish.
Then he swims down 5.8 m to look at a reef. He then swims up 3.2 m.
Which is the best approximation of Edward's current position relative to
the ocean surface?
CONS
Should
subtract
A 12 meters
B 11 meters
C-17 meters
D-23 meters
Dara chose B as the correct answer. How might she have gotten that answer?
Answer:
a. 12 metersStep-by-step explanation:
po ang sagot ko po
#CARRY ON LEARNINGA fish swimming at the same depth as the hook at the end of her fishing line in s 60 feet away
Answer:
.
Step-by-step explanation:
Nine students can make a poster in 10 hours how many students join them so that they can all together make this poster in six hours
Answer:
there is not enough information
Pls hurry , timed test
Answer:
c
Step-by-step explanation:
I need help with geometry
Answer:
146
Step-by-step explanation:
angle AB is an inscribed angle and arc AB is it's intercepted arc
An inscribed angle is equal to half the measure of its intercepted arc
Which means that an intercepted arc is equal to two times the measure of its corresponding inscribed angle
Thus, arc ab = 2(73)
2 * 73 = 146
hence, arc AB = 146
Answer:
mAB = 146°
Step-by-step explanation:
We can notice that the angle given is an inscribed angle and an inscribed angle is 1/2 the arc it intercepts. We can set up an equation to model the situation:
73° = 1/2(mAB)
mAB = 146°
HELPPPP PLEASE !!!!!!!!!!!!!!
Answer:
113°
Step-by-step explanation:
triangles add up to 180°
180° - 34° - 33° = 113°
==============================================
Explanation:
For any triangle, the three interior angles must add to 180 degrees
34+33+x = 180
x+67 = 180
x = 180-67 ... subtract 67 from both sides
x = 113
This triangle is obtuse because the 113 degree angle is larger than 90 degrees. Also, the triangle is scalene because all three angles are different values (consequently, it means all three sides are different from one another).
Help please...
x = 3y
4x + 5y = 34
solve for x and y
Help help
Answer: y=2 and x=6
Step-by-step explanation:
x=3y
4x+5y=34
From equation ( 1) x=3y thus substituting in eqn(2)
4(3y)+5y=34
12y+5y=34
17y=34
y=34÷17=2
Thus y=2
Putting y=2 in eqn(1)
x=3y
x=3(2)
x=6
How many solutions are there to the equation 3x – 5 = 2 x - 3 - x?
A. no solutions
B. exactly one solution exactly
C. two solutions
D. infinitely many solutions
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
B. (2, 1/64)
Hope this helps!
Does anyone know how to solve this?
Answer:
$ 22.5
Step-by-step explanation:
B(x) = 30.50 - 0.20x
Notice that x defines the number of prints.
For prints = x = 40
B(40) = 30.50 - 0.20(40)
B(40) = 30.50 - 8
B(40) = 22.5
Remaining amount is $22.5
B(x) is defined as at starting you had $30.50 then you kept on spending with a period of 20 cents(= 0.20 dollar). So 30.50 kept on decreasing by 0.20. Each time you spend, you give 0.20.
That's why the function is 30.50 - 0.20x.
Where x is the nunber of times you spend(buying prints)
What’s the distance between (-9, 5) and (-9, -1) please helpppp
Answer:
6
Step-by-step explanation:
If you use the distance formula, which is [tex]\sqrt{(x_{2}-x_{1})+(y_{2}-y_{1})[/tex] and you plug everything in, you get 6.
You are doing great today. I am proud of you for waking up and getting on with life. Mwuah have a good day don't let anyone take you down.
Answer:
this just helped me so much
Step-by-step explanation:
Omg ilysm and thank you for spreading such positivity Muaahhh<3
solve the absolute value equation
|x+1|=|2x-6|
Answer:
x = 5, and/or x= - 7/3
Step-by-step explanation:
|x+1|=|2x+6|
We know eitherx+1=2x+6orx+1=−(2x+6)
x+1=2x+6(Possibility 1)
x+1−2x=2x+6−2x(Subtract 2x from both sides)
−x+1=6
−x+1−1=6−1 (Subtract 1 from both sides)
−x=5
(Divide both sides by -1)
x=−5
x+1=−(2x+6)(Possibility 2)
x+1=−2x−6(Simplify both sides of the equation)
x+1+2x=−2x−6+2x(Add 2x to both sides)
3x+1=−6
3x+1−1=−6−1(Subtract 1 from both sides)
3x=−7
Divide both sides by 3
x= −7 / 3
Check answers. (Plug them in to make sure they work.)
x=−5(Works in original equation)
x= −7/3
(Works in original equation)
Answer:
x=−5 or x= −7 / 3
Which expression is equivalent to 2(2x + 1) + 3x + 3?
A) 4x + 3
B) 4x + 5
C) 7x + 4
D) 7x + 5
Answer:
D) 7x+5
Step-by-step explanation:
2(2x+1)+3x+34x+2+3x+37x+5hope it helps.
stay safe healthy and happy.Answer:
[tex]D) 7x + 5[/tex]
Step-by-step explanation:
[tex]2(2x+1)+3x+3[/tex]
[tex]2(2x)+2 \times 1+3x+3[/tex]
[tex]4x+2 \times 1+3x+3[/tex]
[tex]4x+2+3x+3[/tex]
[tex]7x+2+3[/tex]
[tex]7x+5[/tex]
Hope it is helpful.....Use the data to answer the question.
28, 32, 36, 37, 39, 41, 41, 43, 45
What is the median of the data?
OA 37
B. 38
Oc. 39
D
41
Answer:
c. 39
Step-by-step explanation:
you have to find the middle of this. 39 is the middle.
Question 30
What is the distance between points (-3,5,-7) and (2,-4, 6)?
Answer:
-5,4
Step-by-step explanation: