The area of the base of the triangular prism-shaped pencil holder is 18 square centimeters, calculated by dividing the given volume of 216 cm³ by the height of 12 cm.
The question asks for the area of the base of a pencil holder with a given volume and height, shaped like a triangular prism. To find the area of the base of the pencil holder, we can use the formula for the volume of a prism: Volume = Base Area imes Height. Since the volume and height are given, we can rearrange the formula to solve for the Base Area as follows:
Base Area = Volume / Height
Plugging in the values given:
Base Area = 216 cm³ / 12 cm
Base Area = 18 cm²
Therefore, the area of the base of the pencil holder is 18 square centimeters.
Use the information to determine the exact trigonometric value sin theta =-1/5, pi
Answer: -2 (sqrt:6)/5
Step-by-step explanation:
Answer:
The answer is -(2 sqroot 6)/(5)
Step-by-step explanation:
Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are shown in the circle graph below. Find the measure of the central angle for eating in the circle graph.
a.) 28.8°
b.) 288°
c.) 60°
d.) 21.6°
I think it's (a), can you just double check please? I never trusted myself with percents lol. Thanks in advance \(^v^)/
Answer:
28.8 °
Step-by-step explanation:
100% = 360 °
8% = [tex]\frac{8*360}{100}[/tex] = 28.8 °
The floor of a rectangular living room is 18 feet by 24 feet. What is the distance between opposite corners of the living room?
Answer:
The distance between opposite corners of the living room is 30ft
Step-by-step explanation:
This can be thought of as a right triangle and we want to know its hypotenuse
To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras
h = hypotenuse
a = leg 1 = 18ft
b = leg 2 = 24ft
h² = a² + b²
we replace the known values
h² = (18ft)² + (24ft)²
h² = 324ft² + 576ft²
h² = 900ft²
h = √(900ft²)
h = 30ft
The hypotenuse is 30ft
Determine which equation is belongs to the graph of the limacon curve below.
Answer: Option C.
Step-by-step explanation:
We have functions of r(θ)
In our graph, we can see that the minimum value of r is when θ = 0°, and the maximum value is when θ = 180°.
We also know that the graph is in the square (-5, 5)x(-5, 5) and you can see that the maximum radius is almost less than 5.
Then let's analyze the options:
A) r = 3 - 2*cos(θ)
the maximum is at the right angle, but the maximum is:
r = 3 -2*(-1) = 5, so this maximum value is bigger than the one in the graph.
B) r = 3 - sin(θ)
For the sin functions, the maximum and minimum do not correspond with the values i write earlier, so we can discard this option.
C) r = 3 - cos(θ)
The maximum is: r = 3 - (-1) = 4, so this may be the correct answer.
the minimum is r = 3 - 1 = 2,
this is a possible equation for our circle.
D) r = 2 - 2*cos(θ)
Here, when θ = 0, we have: r = 2 - 2*1 = 0, but in the graph we can see that the radius is not 0 when θ = 0, so we can discard this option.
So the only option that makes sense is option C.
You randomly choose one of the tiles, Without replacing the first tile, you choose a second tile. Find the probability of the compound event. NUMBERS 1, 2,3,4,5,6,7 Choosing tiles whose sum is 12
Answer:
The probability of choosing tiles which sum is 12 is 1/21
Step-by-step explanation:
The numbers we have is 1.2,3,4,5,6 and 7
The sum we are looking at is 12. The only sum that can give us this sum is the addition of 7 and 5
There are only two ways we can make this selection if order matters.
Either we pick 5 first then 7 second or 7 first and 5 second
The probability of picking a 5 first will be 1/7, since it is without replacement , the probability of picking a 7 next will be 1/6
The joint probability here would thus be 1/7 * 1/6 = 1/42
In the other second case where we are picking a 7 first and a 5 second, the probability here will be the same as first just that we reversed the other. Hence, the probability here is also 1/42
Now, the probability of either of the two orders happening will be 1/42 + 1/42 = 2/42 = 1/21
Final answer:
The probability of choosing tiles whose sum is 12 is 1/49.
Explanation:
Probability of choosing tiles whose sum is 12:
Number of favorable outcomes: 1 (getting two tiles that sum up to 12, which is 6+6)Total number of possible outcomes: 7*7 = 49 (as there are 7 choices for each tile)Probability = Number of favorable outcomes / Total number of possible outcomes = 1/49
how many times can 1800750 go into 6
Answer:
0 times, it's too big of a number to go into 6.
OOOOOOOF. HELP ME AND BRAINLIEST AND ALL POINTS GIVEAWAY
Answer:
54 square units
Step-by-step explanation:
12 times 9 = 108
108 divided by 2 equals 54
Each morning Papa notes the birds feeding on his birdfeeder. So far
this month he has seen 59 blue jays, 68 black crows, 12 red robins
and 1 cardinal.
Answer:
126 plz mark me brainliest.
Step-by-step explanation:
Answer:126
Step-by-step explanation:
someone help please? 25 points
Answer:
Letter A is 12*12*12*12*12*12*12*12*12*12*12*12*12*12*12=180
Letter B is y , x = 2
Step-by-step explanation:
Yoo i need help!!
Which are solutions of the equation x2 – 16 = 0? Check all that apply.
x = –8
x = –4
x = –2
x = 2
x = 4
x = 8
Answer: B) -4 and E) 4
Step-by-step explanation:
Edg 2022
add (9+5)+(3+2)
this needs to be simplified
Answer:
19
Step-by-step explanation:
[tex](9 + 5) + (3 + 2) \\ = (14) + (5) \\ = 19[/tex]
05.02 MC)
On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. What is the area of the sign?
A right trapezoid is shown with a height labeled 5 feet and one of the bases labeled as 8 feet, and the other base is labeled as 6 feet.
30 square feet
35 square feet
45 square feet
50 square feet
Answer:
45
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
What is the concentration of 20 mL of LiOH if it is neutralized by 60 mL of 4 M HCl?
Answer:
The concentration is 12M
Step-by-step explanation:
In this question, we are asked to calculate the concentration of the alkali given the information in the question.
To answer this question correctly, the first thing to do is to write the complete chemical equation of the reaction of the acid and the alkali. We identify that LiOH is the alkali and HCl is the acid
LiOH + HCl ———-> LiCl + H2O
we can deduce that 1 mole of the acid used up a mole of the base.
Now, we use the titration formula;
CaVa/Na. = CbVb/Nb
since Na= Nb = 1 i.e number of moles , we can just write the formula to be
CaVa. = CbVb
Where Ca is the concentration of the acid which is 4M
Va is the volume of acid used which is 60mL
Cb is the concentration of the base which is ?
Vb is volume of base which is 20mL
Plugging these values, we have;
4 * 60 = Cb * 20
Cb = 240/20
Cb = 12M
The concentration of the base is thus 12M
What is the approximate circumference of the circle shown below?
Answer:
A. 56.52 cm
Step-by-step explanation:
Formula:
Circumfrence= 2πr
r(radius) = 9 cm
C = 2πr
C = 2 x 3.14 x 9 cm
C = 6.28 x 9 cm
C = 56.52 cm
Circumfrence is 56.52 cm
The circumference of the circle is 56.52cm (A)
Calculating The Circumference Of A Circle.To calculate the circumference of a circle, the formula is Circumference (C) = 2πr.
Where;
radius (r) = 9cm
π = 3.14
Substitute the values into the formula.
C = 2 x 3.14 x 9
C = 56.52 cm
Therefore, the circumference of the circle is 56.52cm (A)
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Ayúdenme ;----;:
El director de una institución educativa organizó un proyecto de presentación teatral.
El costo de las entradas fue de 30 soles para los adultos y 20 soles para los niños. Si el sábado pasado
asistieron 248 personas y se reunieron 5930 soles, ¿cuántos adultos y cuántos niños respectivamente asis-
tieron a esa función?
Answer:
97 adults and 151 children assisted to that show.Step-by-step explanation:
We are gonna use "dollars" instead of "soles.
According to the problem, tickets cost $30 for adults and $20 for children.
Last Saturday assisted 248 people which gave a total of $5930.
To know the number of adults and children were there, we need to defined a system of equations.
[tex]x+y=248\\30x+20y=5930[/tex]
Where [tex]x[/tex] represents adults and [tex]y[/tex] represents children.
First, we multiply the first equation by -20
[tex]-20x-20y=-4960[/tex]
Then, we sum this equation with the second one
[tex]10x=970\\x=97[/tex]
There were 97 adults.
Now, we use this value to find the other one
[tex]x+y=248\\97+y=248\\y=248-97\\y=151[/tex]
There were 151 children.
Therefore, 97 adults and 151 children assisted to that show.
A square plaza at a train station has a side length as
shown. Which expression represents the area of the
plaza in square meters?
2x + 6
O x² +9
6x + 9
O x2 + 6x + 9
The answer is D. x2 + 6x + 9 i just took the assignment
Final answer:
The expression that represents the area of a square plaza with side length 2x + 3 is x^2 + 6x + 9.
Explanation:
The question is asking to determine the expression that represents the area of a square plaza. The formula to calculate the area of a square is the length of one side squared (s2). If the side length is represented by the expression 2x + 3, then the area will be (2x + 3)2. When this binomial is squared, it follows the formula (a + b)2 = a2 + 2ab + b2, which leads to (2x)2 + 2(2x)(3) + (3)2 = 4x2 + 12x + 9. So, the correct expression representing the area of the plaza is x2 + 6x + 9.
Assume that the following confidence interval for the difference in the mean length of male (sample 1) and female babies (sample 2) at birth was constructed using independent simple random samples. What does the confidence interval suggest about the difference in length between male babies and female babies? minus0.2 in.less thanmu 1minusmu 2less than1.7 in.
found the answer, it suggests there is no difference in the length between male and female babies
Answer:
The example stated indicate that there is no difference in the means of the two samples
Step-by-step explanation:
Solution
Recall that
The Confidence interval in the mean length of male (sample 1) and female sample (2) babies,which is,
Male babies= sample 1
Female babies = sample 2
What is the difference in length between male and female babies as suggested by the Confidence interval
Now,
The calculated Confidence interval is given as:
-0.2 < mu1 - mu2 < 1.7
So,
0 is included in the above CI, this indicates or suggests that there is no difference in the means of the two samples
What is the y-intercept of the graph that is shown below?
-5 -4 -342-11 1 2 3 4 5 X
(-2,0)
0 (-1,2)
(0,4)
(4,0)
Answer:
(0,4)
Step-by-step explanation:
The y intercept is where the x value is zero
x=0 and y =4
The y intercept is (0,4)
What is the solution to the system of equations below?
Negative 4 x + 6 y = negative 18 and y = negative 2 x + 21
(9, 3)
(3, 9)
(–9, –9)
(–9, 9)
Answer:
solution: (9, 3) , x = 9, y = 3
Step-by-step explanation:
Negative 4 x + 6 y = negative 18 and y = negative 2 x + 21
convert to algebra.
- 4x + 6y = -18 ;
y = -2x + 21;
let us solve this with elimination
change -4x + 6y = -18 to -2x + 3y = -9
get: -2x + 3y = -9
and 2x + y = 21
add.
-2x + 2x + 3y + y = -9 + 21
4y = 12
y = 3
2x + (3 ) = 21
2x = 18
x = 9
(9, 3)
Answer:
A.(9,3)
Step-by-step explanation:
What is the solution of StartRoot 2 x + 4 EndRoot = 16?
We start with
[tex]\sqrt{2x+4}=16[/tex]
Since both sides of the equality are positive, we can square them to get
[tex]2x+4=256[/tex]
Subtract 4 from both sides and then divide both sides by 2:
[tex]2x+4=256 \iff 2x=252\iff x=126[/tex]
Answer:
x=126
Step-by-step explanation:
Can you plz help me?
Answer:
sure
Step-by-step explanation:
with what
Find the distance between (-4,10) and (0,12)
Answer:
Approximately 4.47 or the square root of 20.
Step-by-step explanation:
use distance formula
Are there whole numbers that are not integers
Answer:
No
Step-by-step explanation:
All whole numbers, positive, negative, and 0 are integers.
A plumber charges $30 for a service call and an additional $25 per hour. Write an equation in slope-intercept form to represent the cost of service, C, for h hours of service. Then find the cost if the plumber worked 7 hours on a project.
Answer:
The equation is c=25h+30 and the answer is 205
Step-by-step explanation:
Plug in 7 for h.
What is the slope of the line represented by y=-2x+1?
Answer:
-2 is the slope of the line
Step-by-step explanation:
The slope is what number you are multiplying x by in the equation. In the equation, x is being multiplied by -2. Therefore, the slope of the line represented by the equation is -2.
How is the product of a complex number and a real number represented on the complex plane?
Consider the product of −2+8i and 5.
Answer:
The product of the real and complex number given is -10+40i
Step-by-step explanation:
The general form of a complex number is expressed as z = x+iy where
x is the real part and y is the imaginary part.
Given a complex and a real value as shown
z1 = −2+8i and z2 = 5+i0
Taking their product;
z1z2 = (−2+8i)(5+i0)
z1z2 = -10+0+40i+0
z1z2 = -10+40i
According to the product of the complex numbers, the resulting real part is -10 and the complex part is 40.
The representation on the complex plane is as shown in the attachment.
The complex number −2+8i has modulus of (1. 2√17)
When −2+8i is multiplied by 5, the modulus of the product is (2. 10√17)
Multiplying a complex number by a real number results in a scalar of the complex number. The quadrant location of the complex number and its product with (3. a positive real number) are the same.
The rate of change of a linear model depends on its initial conditions.
True
False
Answer:
false
Step-by-step explanation:
ye you welcome
y=13x − 1x − 3y = 5
What is the solution to the system of equations shown above?
Answer:
(5/3,5)
Step-by-step explanation:
The solution to the system of equations y = 13x - 1 and y = 5 is (6/13, 5).
To find the solution to the system of equations y = 13x - 1 and y = 5, we can substitute the second equation directly into the first one. Since both equations equal y, they must equal each other, thus:
13x - 1 = 5.
We can then solve for x:
Add 1 to both sides: 13x = 6
Divide both sides by 13: x = 6/13
Having determined the value of x to be 6/13, we can substitute this back into either equation to find y. Using the simpler one, y = 5.
Thus, the solution to the system of equations is (6/13, 5).
EASY QUESTION
Focus on question 5
Answer:
84 cm^3
14080 cm^3
81 cm^3
Step-by-step explanation:
Remember the formulas for volume, and you're golden.
a) V(prism) = area of base * height
= 12 cm^2 * 7 cm = 84 cm^3
b) V(prism) = area of base * height
= 88 cm^2 * 160 cm = 14080 cm^3
c) V(cylinder) = area of base * height
= 54 cm^2 * 1.5 cm = 81 cm^3
Answer:
84 cm^3
14080 cm^3
81 cm^3
Step-by-step explanation:
The Adeeva's gross monthly income is $5600. They have 18 remaining payments of $ 360 on a new car. They are applying for a 15-year, $142 comma 000 mortgage at 7.5%. The taxes and insurance on the house are $270 per month. The bank will only approve a loan that has a total monthly mortgage payment of principal, interest, property taxes, and homeowners' insurance that is less than or equal to 28% of their adjusted monthly income. What is 28% of Adevas income
Answer:
$1,467.20
Step-by-step explanation:
Adjusted monthly income is the gross income minus any payments made every month. 5600 - 360 = 5240. To get 28% of her adjusted income multiply 5240 X.28 =1467.20
To calculate 28% of $5600, multiply 5600 by 0.28. The result is $1568, which is 28% of Adeva's gross monthly income.
Explanation:The issue is figuring out 28% of Adeeva's gross monthly salary, which is fixed at $5600. The calculation is simple to perform using the (Amount/Total) x 100 rule for percentage calculations. The decimal equivalent of 28% is 0.28, so multiply $5600 by that number to get 28%. The computation yields a value of $1568. Therefore, $1568 or 28% of Adeeva's gross monthly revenue. By analyzing particular sections of overall profits, this technique demonstrates a fundamental use of percentages, enabling accurate financial computations and planning.
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