Answer:
15/2 in³
Step-by-step explanation:
The formula for the vol. of a pyramid
is
V = (1/3)(area of base)(height of pyramid)
Here, the volume is:
V = (1/3)( [1/2][5 in][9 in] )·(10 in)
= (9/3)(5/2)(10) in³
= 450/6 in³ = 150/2 in³ = 75 in³ Volume of the pyramid
Answer:
75 in³Step-by-step explanation:
The formula of a volume of a pyramid:
[tex]V=\dfrac{1}{3}BH[/tex]
B - area of a base
H - height
In a base we have the right triangle with legs 9in and 5in.
The formula of an area of a right triangle:
[tex]A=\dfrac{ab}{2}[/tex]
ab - legs
Substitute:
[tex]B=\dfrac{(5)(9)}{2}=\dfrac{45}{2}\ in^2[/tex]
The height H = 10 in.
Calculate the volume:
[tex]V=\dfrac{1}{3\!\!\!\!\diagup_1}\left(\dfrac{45\!\!\!\!\!\diagup^{15}}{2\!\!\!\!\diagup_1}\right)(10\!\!\!\!\!\diagup^5)=(1)(15)(5)=75\ in^3[/tex]
Peyton wants to purchase a new refrigerator that has a larger capacity than his current refrigerator. The length, width, and height of his current refrigerator are shown below.
What is the volume of his current refrigerator?
A. 2 1/24 cu. m.
B. 3 17/60 cu. m
C. 7/12 cu. m
D. 1 1/48 cu. m
Answer:
the answer is D. 1 1/48 cu.m
Step-by-step explanation:
V = 7/10 * 5/6 * 7/4
V = 245/240 cu.m
V = 49/48 cu.m
V = 1 1/48 cu. m
The answer is D I hope this helped
Help Me Please ! This is so confusing .♀️
Answer: -4
Step-by-step explanation:
3-9=-6
-6*5=-30
-30-1=-31
6*-31=-186
-186+2=-184
8-2=6
6*7=42
42+4=46.
-184/46=-4
Answer and Step-by-step explanation:
All you have to do is follow the order of operations.
We do everything in the first set of parenthesis, then we work our way out.
[tex]\frac{6(5(3-9)-1) + 2}{7(8-2)+4}[/tex]
First, we would subtract 9 from 3, and 2 from 8.
3 - 9 equals -6
8 - 2 equals 6
[tex]\frac{6(5(-6)-1) + 2}{7(6)+4}[/tex]
Now, we multiply those numbers.
5 times -6 equals -30
7 times 6 is 42
[tex]\frac{6(-30 -1) + 2}{42+4}[/tex]
Now, we simplify.
-30 minus 1 equals -31
42 + 4 equals 46
[tex]\frac{6(-31) + 2}{46}[/tex]
Multiply -31 by 6, then add 2 to the product.
-31 times 6 equals -186
-186 plus 2 equals -184
[tex]\frac{-184}{46}[/tex]
Finally, we divide.
-184 divided by 46 equals
-4
-4 is the answer to the expression.
I hope this helps!
#teamtrees #PAW (Plant And Water)
Using Cramer’s Rule, what is the value of x in the system of linear equations below?
Answer:
The answer is the 1st [tex]\frac{\left[\begin{array}{cc}16&3\\8&1\end{array}\right]}{-8}=1[/tex]
Step-by-step explanation:
Lets revise the Cramer's rule
- If the system of equation is ax + by = c and dx + ey = f
- A is the matrix represent this system of equation
- The first column has the coefficients of x, and
the second column has the coefficients of y
∴ A = [tex]\left[\begin{array}{cc}a&b\\d&e\end{array}\right][/tex]
- Ax means replace the column of x by the answers of the equation
∴ Ax = [tex]\left[\begin{array}{ccc}c&b\\f&e\end{array}\right][/tex]
- Ay means replace the column of y by the answers of the equation
∴ Ay = [tex]\left[\begin{array}{ccc}a&c\\d&f\end{array}\right][/tex]
- x = Dx/D, where Dx is the determinant of Ax and D is the determinant
of A
- The determinant of A = ae - bd
- The determinant of Ax = ce - bf
* Now lets solve the problem
∵ x + 3y = 16 and 3x + y = 8
∴ A = [tex]\left[\begin{array}{cc}1&3\\3&1\end{array}\right][/tex]
- Replace the column of x by the answer to get Ax
∴ Ax = [tex]\left[\begin{array}{cc}16&3\\8&1\end{array}\right][/tex]
∵ [tex]x=\frac{Dx}{D}[/tex]
∵ Dx = [tex]\left[\begin{array}{cc}16&3\\8&1\end{array}\right]=(16)(1)-(3)(8)=16-24=-8[/tex]
∵ D = [tex]\left[\begin{array}{cc}1&3\\3&1\end{array}\right]=(1)(1)-(3)(3)=1-9=-8[/tex]
∴ x = [tex]\frac{\left[\begin{array}{cc}16&3\\8&1\end{array}\right]}{-8}=\frac{-8}{-8}=1[/tex]
* x = [tex]\frac{\left[\begin{array}{cc}16&3\\8&1\end{array}\right]}{-8}=1[/tex]
Solve the system of equations.
-5y + 8x = -18
5y + 2x = 58
X = ?
Y= ?
Answer:
x=4 y=10
Step-by-step explanation:
-5y+8x=-18
5y+2x=58
so the first thing you do is cancel out the 5s then you add the 8+2 and -18+58 then you have 10x=40 then you divide both sides by ten. then you plug that four back into an equation so i did 5y+2(4)=58 then 5y+8=58 you subtract 8 from both sides and you have 5y=50 divide both sides by 5 and you get y=10 and that is how you do that
daniels spinner is divided into 8 equal sections. he plans to spin it 80 times. which equation predicts the number of times he could spin green?
Answer:
B) P(green)=2/8(80)
Step-by-step explanation:
Answer:
B. P(green)=2/8(80)
Step-by-step explanation:
It costs $120 to have a party for 9 people at the skating rink. The cost includes a charge of ,$10 for each person attending the party plus the price of a cake.
How much does the cake cost?
Answer:
The cake costs $30
Step-by-step explanation:
9(10)=90
120-90=30
Which statement represents the transitive property of equality?
The transitive property of equality is correctly represented by option A, stating that if WX = XY and XY = YZ, then WX = YZ.
The correct answer is option A.
The transitive property of equality states that if two quantities are equal to a third quantity, then they are equal to each other. Among the given options, the statement that represents the transitive property is:
A) If WX = XY and XY = YZ, then WX = YZ.
This statement adheres to the transitive property because it asserts that if WX is equal to XY and XY is equal to YZ, then it logically follows that WX must be equal to YZ. This principle is fundamental in mathematics and logic, providing a way to establish equality relationships through a chain of equalities.
On the other hand, options B and C do not correctly represent the transitive property:
Option B is a statement about the equality of angles, and it does not involve the transitive relationship between two quantities.
Option C represents the reflexive property (an equality is always equal to itself) rather than the transitive property.
In conclusion, option A accurately represents the transitive property of equality.
The question probable may be:
Which statement represents the transitive property of equality?
A) If WX = XY and XY = YZ, then WX = YZ
B) If mZA = mZB, then mZB = mZA
C) If WX = XY, then XY = WX
HELP!!
What is the value of x?
Answer:
The value of x = 34° ⇒ first answer
Step-by-step explanation:
* Lets revise some facts about the circle
- A chord of a circle is a straight line segment whose endpoints
both lie on the circle
- When two chords, intersect inside a circle then the measure
of the angles formed is one-half the sum of the measures of the
intercepted arcs.
* Now lets solve the problem
- There are two chords intersect inside the circle
∵ AC and DB are two chords intersect each other at point O
- The measures of the angles between them is 1/2 the measure
of their intercepted arc
∵ ∠AOB subtended by arc AB
∵ ∠COD subtended by arc CD
∴ m∠AOB = m∠COD = 1/2[measure arc AB + measure arc CD]
∵ The measure of arc AB = 45°
∵ The measure of arc CD = 23°
∴ m∠AOB = m∠COD = 1/2[45 + 23] = 1/2[68] = 34°
- The measure of angle AOB represented by x
∴ m∠AOB = x
∴ The value of x = 34°
If you accept you are going to die at anytime, then you might not be as ambitious as you are.
Answer:
Nice quote!
Step-by-step explanation:
<:)
The discussion reflects on how accepting the inevitability of death might influence one's ambition, with perspectives ranging from it being a motivator to live more purposefully to a potential cause for nihilism or inaction.
The question delves into philosophical reflections on mortality and ambition, suggesting that acknowledging the inevitability of death might dampen one's drive to achieve. This idea taps into a broader discussion on how our perceptions of life and death can shape our motivations and actions. Ancient philosophies and modern thought leaders offer varying perspectives on this issue.
For instance, sources suggest that embracing the certainty of death can lead to a life lived with greater purpose and less fear, implying that the awareness of mortality can actually enhance one's ambition by instilling a sense of urgency and focus. This is supported by the notion that knowing each day could be our last encourages us to grow, reach out to others, and live authentically. Conversely, others argue that an excessive preoccupation with death may lead to nihilism or inaction, driven by the belief that all efforts are ultimately futile in the face of mortality. The balance between these viewpoints highlights the complex relationship between accepting death and pursuing ambition.
Write an equation of the line that passes through the points.
(0, - 2), (4, - 2)
Answer:
y = -2
Step-by-step explanation:
As we move from the point (0, -2) to the point (4, -2), x increases by 4, but y stays the same. Thus, the slope of this line is m = rise / run = 0/4 = 0.
Since the line passes through y = -2, that is the only descriptor needed for this line. The slope need not appear in this equation, although we certainly could write y = 0x - 2. Simplify this to y = -2.
Graph 8x-2y=-16........
[tex]8x - 2y = - 16 \\ \\ 1. \: 2(4x - y) = - 16 \\ 2. \: 4x - y = - \frac{16}{2} \\ 3. \: 4x - y = - 8 \\ 4. \: 4x = - 8 + y \\ 5. \: 4x = y - 8 \\ 6. \: x = \frac{y - 8}{4} [/tex]
A school bus can hold no more than 40 people. If there are 6 teachers on the bus, write and solve an inequality that shows how many students can be on the bus. Graph the solution on the number line.
Answer: 34 kids in all
Step-by-step explanation:
: 40 - 6 = 34
0 6 34
|------------|----------------------------|
The bus can hold no more than 40 people. 6 are already on so at most, there can be 34 others on board. But the number doesn’t have to be exact.
Jenna wrote the expression (8 + x)- 32 for "the sum of 8 and x less than 32".What mistake did Jenna make? Show and explain how to write the correct expression.
Answer:
(8+x)<32
Step-by-step explanation:
What Jenna wrote is "the sum of 8 and x minus 32"
Jenna made a mistake by interpreting the phrase "the sum of 8 and x less than 32" as if it suggested that one should calculate the sum of 8 and x and then subtract 32 from it. This interpretation led her to write the expression as (8 + x) - 32. However, this expression actually represents the value that is 32 less than the sum of 8 and x, which is not what the phrase intends to convey.
The phrase "the sum of 8 and x less than 32" means that when we add 8 and x together, their total should be less than 32. This is a statement about the relationship between the sum of 8 and x and the number 32. It involves a comparison, not an arithmetic operation like subtraction.
To correct the expression according to the original phrase's intent, we need to write an inequality that compares the sum of 8 and x with 32. The phrase suggests that the sum (8 + x) should be smaller than 32. This inequality is written as:
8 + x < 32
This correct expression states that when you add 8 to x, the result should be less than 32. It does not involve subtracting 32 from the sum, but rather compares the sum directly to 32 with a "less than" sign, effectively expressing the original phrase mathematically.
Carmen was hired as a salaried computer programmer for $42,000 per year. What is her bi-weekly (26 weeks) salary?
Question 1 options:
$1,615.38
$807.69
$1,000.00
$3,500.00
Answer:
$1,615.38
Step-by-step explanation:
Remember that
1 year=52 weeks
we know that
Carmen was hired as a salaried computer programmer for $42,000 per year
or
was hired as a salaried computer programmer for $42,000 per 52 weeks
using proportion
Find out how much is the salary per 2 weeks
[tex]\frac{42,000}{52}=\frac{x}{2}\\\\x=42,000*2/52\\\\x=\$1,615.38[/tex]
Find the values of x and y that fit both the equation 2x - 3y = 8 − = and 4x + 3y = -2.
Answer:
Step-by-step explanation:
In other words, solve the system
2x - 3y = 8
4x + 3y = -2
Let's use the method of elimination. Mult. the first equation by -2:
-4x + 6y = -16
4x + 3y = -2
----------------------
8y = -18, so y = -9/4. If y = -9/4, then 2x - 3(-9/4) = 8, and:
2x + 27/4 = 8, or
2x + 27/4 = 32/4, or
2x = 5/4, or
x = 5/8
Then the solution is (5/8, -9/4).
If this does not match any of the possible answer choices, please check to ensure that y ou have copied down this problem correctly. Where do the "- =" symbols following the '8' come from?
To find the values of x and y that fit both equations, we can solve the system of equations using the elimination method. The values of x and y that fit both equations are x = 1 and y = -2.
Explanation:To find the values of x and y that fit both the equations 2x - 3y = 8 and 4x + 3y = -2, we can solve the system of equations. This can be done using the elimination method or the substitution method. Let's use the elimination method:
Multiplying the first equation by 4 and the second equation by 2, we get:
8x - 12y = 32
8x + 6y = -4
Subtracting the second equation from the first, we get:
-18y = 36
Dividing both sides by -18, we find that y = -2. Substituting this value back into the first equation, we can solve for x:
2x - 3(-2) = 8
2x + 6 = 8
2x = 2
x = 1
Therefore, the values of x and y that fit both equations are x = 1 and y = -2.
Learn more about Solving systems of equations here:https://brainly.com/question/29050831
#SPJ2
mrs. West took her class on a field trip to the museum cost of admission for the girls was $90 and the cost of admission for the boys who $75 each ticket cost the same amount what is the cost of each ticket
Answer:
15
Step-by-step explanation:
we know that the boys in total cost 75 dollars and the girls cost 90.
75 and 90 share but one common factor and that is 15.
Therefore, we can conclude that the tickets cost $15.
Answer:
15
Step-by-step explanation:
Which inequality can be represented by the graph below ?
Answer:
Option F. [tex]y\geq x+b[/tex]
Step-by-step explanation:
we know that
The solution of the inequality of the graph is the shaded area above the solid line
step 1
Find the equation of the solid line
The intercepts are
The y-intercept is the point (0,b)
The x-intercept is the point (-b,0)
Find the slope
[tex]m=\frac{b-0}{0+b} =1[/tex]
The equation of the solid line is
[tex]y=x+b[/tex]
step 2
The solution of the inequality is the shaded area above the solid line
therefore
the inequality is equal to
[tex]y\geq x+b[/tex]
the table shows the number of boys and girls that have black, blonde, brown, or red hair color. What is the probability that student is a girl with brown hair? (round to the nearest hundredth)
a. 0.20
b. 0.22
c. 0.40
d. 0.44
Answer
The answer is A or 0.20
Step-by-step explanation:
So if you add all the numbers up so (4+4+10+2+5+6+8+1) that would equal=40
8 is the number of girls with brown hair so I would divide 8 by 40
8/40=0.20
Hope this helps!
Answer:
0.20
There are 8 brown-haired girls, out of 40 students.
8
40
The data below represents the number of canoes rented each month from May through October. find the mean absolute deviation. round to the nearest hundredth 15, 29, 36, 45, 31, 12
The mean absolute deviation from the data representing the number of canoes rented each month from May through October is 9.67. The process involves finding the average of the data set, calculating each number's deviation from that mean, and then averaging those deviations.
Explanation:To calculate the mean absolute deviation of the provided data set: 15, 29, 36, 45, 31, 12, we take the following steps:
First, find the mean (average) of the data set. This is found by adding all the values together and then dividing by the number of values: (15 + 29 + 36 + 45 + 31 + 12) / 6 = 28 Next, find the absolute deviation of each number in the set by subtracting the mean from each number and taking the absolute value: |15 - 28|=13, |29 - 28|=1, |36 - 28|=8, |45 - 28|=17, |31 - 28|=3, |12 - 28|=16 Then, find the mean of these deviations by adding them together and dividing by the number of values: (13 + 1 + 8 + 17 + 3 + 16) / 6 = 9.67 (rounded to the nearest hundredth)
So, the mean absolute deviation of the data set is 9.67.
Learn more about Mean absolute deviation here:https://brainly.com/question/37093995
#SPJ2
Faith Franklin sells furniture and earns 8% commission on her total sales. Last month she had $33,500 in sales. How much did she earn?
$2,976.00
$2680.00
$3,015.00
$3685.00
Answer:
$2680.00
Step-by-step explanation:
We are informed that Faith Franklin sells furniture and earns 8% commission on her total sales. She sold $33,500 last month. We are required to determine her earnings for that month;
We simply evaluate 8% of $33,500
[tex]\frac{8}{100}*33500=2680[/tex]
Therefore, she earned $2680.00
What is the area of this parallelogram
Answer:
17.15 cm²
Step-by-step explanation:
The area (A) of a parallelogram is calculated using the formula
A = bh ( b is the base and h the perpendicular height )
here b = AE + EB = 1.4 + 3.5 = 4.9 and h = BF = 3.5, hence
A = 4.9 × 3.5 = 17.15
Simplify: −6( 1 4 x - 2 3 x + 5 6 x) A) -2 1 2 x B) -x C) 2x D) 3 4 x
Answer:
-282x
Step-by-step explanation:
− 6( 1 4 x - 2 3 x + 5 6 x)
− 6(47 x) = -282x
Answer:
a
Step-by-step explanation:
-6(
1
4
x -
2
3
x +
5
6
x)
-6(
3
12
x -
8
12
x +
10
12
x)
-6(
5
12
x)
-2
1
2
x
The triangle shown below has an area of 10 units. Find x.
Answer:
The value of x (which is also the height of this triangle) is x = 5 units.
Step-by-step explanation:
The formula for the area of a triangle of base b and height h is
A = (1/2)(b)(h).
Here A = 10 units² = (1/2)(4 units)(x).
Multiplying both sides by 2 yields 20 units² = (4units)(x), and thus
20 units²
x = ------------------ = 5 units
4 units
The value of x (which is also the height of this triangle) is x = 5 units.
Answer:
x=5
Step-by-step explanation:
Stare the various transformations. Help needed !!!
Answer:
Step-by-step explanation:
Let's start by simplifying a little:
g(x) = -2[(x − 1)² + 3]
g(x) = -2(x − 1)² - 6
The negative sign in front means a reflection about the x axis. The 2 coefficient means a vertical stretch by a factor of 2. The x−1 means a horizontal shift to the right by 1 unit. And the -6 means a vertical shift down six units.
So the answer is the third one.
find surface area of regular pyramid
Answer: Surface Area= 40
Step-by-step explanation:
The surface area is the sum of all areas of the triangle. To find the area of the triangle you would multiply the base(4) times the height(3) and divide it by 2. 4x6/2=6. This will give you the area of 6 for one triangle. Since there are 4 triangles you would multiply it by 4. This will give you 24. Now all you got to do is add the square's area which is 4 times 4 giving you 16. Add 16 and 24 and you get 40.
This is really stressing me out i need this don’t by tonight for extra credit please help?!!!!!
Answer:
1. 1/6 , 2/9 , 1/4 , 5/18
2. 1/3 , 4/9 , 1/2 , 5/9
3. 5/12 , 5/9 , 5/8 , 25/36
Hope this helps!
Plz help me with this
Answer: C) 2
Step-by-step explanation:
The red curve is: y = eˣ
The blue line is: y = 2x + 3
The intersect at two coordinates: (-1.4, 0.2) & (2, 7)
The only x-value option provided in your answer choices is: x = 2
what would be a reasonable estimate for 31+m=307
Answer:275 276
Step-by-step explanation:
the answer is m = 276
to get the answer you need to subtract 307 - 31 which equals 276
please give me brainliest ^_^
Which decimal is equivalent to -3 1/8
Answer:
-3.125
Step-by-step explanation:
Answer: this is the correct answer -3.125
simplify-3x +2y + x -5x
Answer:
3x+2y
Step-by-step explanation:
-3x+2y+x-5x
-5x-3x=-8x+x=-7x
-7x+2y
Answer: [tex]-7x+2y[/tex]
Step-by-step explanation:
You have the expression [tex]-3x +2y + x -5x[/tex]
You can observe that this expresssion has two variables. These are:
"x" and "y"
Then, to simplify the expression given, you need to add the like terms (terms that have the same variable), which are:
[tex]-3x[/tex], [tex]-5x[/tex] and [tex]x[/tex]
Therefore, adding the like terms, you get:
[tex](-3x+x-5x)+2y\\-7x+2y[/tex]
Then, the simplified form of [tex]-3x +2y + x -5x[/tex] is:
[tex]-7x+2y[/tex]