Answer:
a). The volume of the pyramid on the left is greater by 2 inches cubed.
Step-by-step explanation:
The volume of a rectangular based pyramid is
V = [tex]\frac{1}{3}[/tex] w b h
Where w, and b are the lengths of the base of the pyramid, and h is the height of the pyramid
Substitute the values given for both pyramids into the equation, and solve for V
Left Pyramid:
V = [tex]\frac{1}{3}[/tex] w b h
V = [tex]\frac{1}{3}[/tex] * 7 * 6 * 3
Volume of Left Pyramid = 42 [tex]inches^{3}[/tex]
Right Pyramid:
V = [tex]\frac{1}{3}[/tex] w b h
V = [tex]\frac{1}{3}[/tex] * 4 * 3 * 10
Volume of Right Pyramid = 40 [tex]inches^{3}[/tex]
Subtract the two volumes to find the difference in volume
42 - 40 = 2 [tex]inches^{3}[/tex]
Answer:
The volume of the pyramid on the left is greater by 2 inches cubed.
Step-by-Step Explanation
Brenda is cooking couscous. The recipe says she requires 480 grams of couscous for 4 people. How many will she need for 14?
Answer:
1680
Step-by-step explanation:
For every 1 person, the recipe requires 120 grams
We find that by doing the following
480 / 4 =120 grams
Multiply 120 by 14
120 x 14 = 1680
Answer:
1680g
Step-by-step explanation:
if 480 g will be for 4 people
how about 14 people?
480g x 14p= 6720 divide by 4=1680g
divide by
4 people
Choose the converse. If an angle measures 110 degrees, then it is obtuse.
Answer:
B. because an acute is smaller then a right angle which is the opposite of the obtuse angle which is bigger then a right angle.
Step-by-step explanation:
Answer:
the answer is b. hope this helps
Which could be the dimensions of a rectangle with an area of 60 square units?
1 by 60 units
4 by 15 units
8 by 8 units
10 by 6 units
60 by 2 units
PLEASE HURRY!!! WILL GIVE BRAINLIEST!!
Answer:
The answer is 1 by 60 4 by 15 and 10 by 6
Step-by-step explanation:
Answer:a,b.d
Step-by-step explanation:
Over what interval is the graph of
y = |x + 2] increasing?
Over (-2, ∞) the graph of function y = | x + 2| is increasing.
Given that,
To determine over what interval the graph of y = |x + 2] increases.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
y = | x + 2|
Since from (∞, -2), the graph is decreasing, but at -2 the graph has zero ordinate and afterward, the graph starts increasing. So, over (-2, ∞) the graph of function y = | x + 2| is increasing.
Thus, over (-2, ∞) the graph of function y = | x + 2| is increasing.
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The equation d= -6t + 10 represents the distance d, in miles, Ralph walks from the library to his house in t hours. His sister, Joan, leaves the library right after Ralph. She rides her bicycle from the library to their house at a constant rate. The equation d = 14t represents Joan's bicycle ride where d, is the distance, in miles, and t is the time, in hours.
After how many miles will Joan meet Ralph walking to their house?
A. 2.5 miles
B. 7 miles
C. 18 miles
D. 28 miles
Answer:
B. 7 miles
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Functions
Function NotationSystems of Linear Equations
Solving methods: Substitution/EliminationStep-by-step explanation:
Step 1: Define
Identify given.
[Ralph's Walking Distance Function]: d = -6t + 10
[Joan's Bicycle Distance Function]: d = 14t
Step 2: Find Meeting Point
To find where Joan and Ralph will meet, we need to find where they intersect. Therefore, we need to find the time which they both meet up at. To do this, we can use the process of substitution to find our value of t:
[Equation 1] Substitute in d:From here, we can simply use techniques listed under "Algebra I" to solve for t:
[tex]\displaystyle\begin{aligned}14t & = -6t + 10 \\20t & = 10 \\t & = \boxed{ \frac{1}{2} } \\\end{aligned}[/tex]
∴ both Joan and Ralph will meet up in half an hour, or 0.5 hours.
Step 3: Find Mileage
To find how many miles they will meet up at, we substitute the number of hours elapsed (found in Step 2) and substitute it into any of the equations given:
[tex]\displaystyle\begin{aligned}d & = 14t \\& = 14 \bigg( \frac{1}{2} \bigg) \\& = \boxed{7} \\\end{aligned}[/tex]
∴ Joan will meet Ralph after 7 miles.
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Topic: Algebra I
The answer is B. 7 miles. Joan and Ralph meet when their distances are equal. By solving the distance equations, we find they meet after 7 miles.
To establish where Joan will meet Ralph, we must find the time when their distances are equal. We equate their distance equations: d = -6t + 10 (Ralph) and d = 14t (Joan).
Set the equations equal to each other:
-6t + 10 = 14tCombine like terms:
10 = 14t + 6t10 = 20tDivide both sides by 20:
t = 0.5Next, we substitute t = 0.5 into either of the original equations to find the distance:
Using Joan's equation: d = 14t
d = 14(0.5)d = 7So, the distance at which Joan meets Ralph is 7 miles.
Therefore, the correct answer is B. 7 miles.
Please help! ASAP! (Stay Safe!)
Answer:
6
Step-by-step explanation:
Divide 144 by 8. Then divide that answer by 3.
Answer:
c)
Step-by-step explanation:
Because first you do 8x3= 24 and you 144 divided by 24 and you get 6
Jessica uses a 20% off coupon when she buys a new camera. The original price of the camera was $150. How much money does Jessica save by using the coupon?
Answer:
30
Step-by-step explanation:
150x .2= 30
Answer:
$30
Step-by-step explanation
You need to first change the percentage into a decimal and then you multiply by the cost of the product...in this case a camera...and thats the discounts price
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How many 8-inch square tiles are needed to cover a rectangle floor that is 10 ft. long and 8 ft. wide?
A. 80
B. 10
C. 180
D. 160
Answer:
180 tiles
Step-by-step explanation:
It's easiest to work with only one unit for length and one unit for area. We will work with inches and square inches, and we will convert feet to inches.
An 8-inch square tile is a tile shaped like a square whose side measures 8 inches.
area of square = side^2
area of 1 tile = (8 in.)^2 = 64 in.^2
One 8-inch, square tile has an area of 64 sq in.
Now we need to find the area of the floor in square inches.
1 ft = 12 in.
We multiply each dimension in ft by 12 to find inches.
10 ft = 10 * 12 in. = 120 in.
8 ft = 8 * 12 in. = 96 in.
Now we find the area of the rectangular floor.
area of rectangle = length * width
area of rectangle = 120 in. * 96 in.
area of rectangle = 11,520 sq in.
The rectangular floor has an area of 11,520 sq in.
Each tile has an area of 64 sq in.
To see how many tiles are needed, we divide the area of the floor by the area of one tile.
number of tiles = (11,520 sq in.)/(64 sq in.) = 180
Answer: 180 tiles
What happens to the acceleration of an object if the net
force on it increases?
The acceleration increases.
The acceleration decreases.
The acceleration becomes zero.
The acceleration remains the same.
Done
Answer:
Step-by-step explanation:
The aceleration increases
When the velocity of an object changes it is said to be accelerating. Acceleration is the rate of change of velocity with time. ... Acceleration occurs anytime an object's speed increases or decreases, or it changes direction. Much like velocity, there are two kinds of acceleration: average and instantaneous
Answer:
The acceleration increases.
The expression means 15 minus the product of 5 times the difference of p minus 6. If p = 8, then the value of the expression is .
Answer:
5
Step-by-step explanation:
from the question:
15-5(p-6)
when p=8,
=15-5(8-6)
=15-5(2)
=15-10
=5
please like and Mark as brainliest
Answer:
5
Step-by-step explanation:
Which equation is equivalent to (one-third) Superscript x Baseline = 27 Superscript x + 2?
Answer: Hello!
It's Option D.
Hope I helped! ♡
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Edge 2020
Joe has a spinner. The probability of landing on green is 3/8. Joe spins the spinner 184 times. How many times should Joe expect the spinner to land on green? Explain using complete sentences and proper grammar.
please help, You'll get 35 points & more if you get it right, ill mark you as brainliest!
Let x represent the number of times Joe should expect the spinner to land on green.
We have been Joe has a spinner. The probability of landing on green is 3/8. Joe spins the spinner 184 times. We are asked to find the number of times Joe should expect the spinner to land on green.
We will use proportions to solve our given problem.
[tex]\frac{\text{Green}}{\text{Total}}=\frac{3}{8}[/tex]
Upon substituting our given values in above equation, we will get:
[tex]\frac{x}{184}=\frac{3}{8}[/tex]
[tex]\frac{x}{184}\cdot 184=\frac{3}{8}\cdot 184[/tex]
[tex]x=3\cdot 23[/tex]
[tex]x=69[/tex]
Therefore, Joe should expect the spinner to land on green 69 times.
What is the simplified expression for the expression below?
1/2(8x+4)+1/3(9-3x)
Answer:
7x+7
Step-by-step explanation:
1/2(8x+4)+1/3(9-3x)=
(4x+4)+(3-3x)=
4x+7+3x=
7x+7
3x+5
Hope this helps! If you have any questions or need further explanation or clarification then please comment down below or message me! Good luck!
6, 18, 54, 162, ...
Is the sequence above arithmetic or geometric?
Arithmetic
Geometric
Beth and Dave are hiking on a
5-mile trail. When they stopped
for a picnic lunch, they had hiked
2 miles of the trail. How much
farther do they have to hike after
lunch to complete the trail?
Answer:
3 miles
Step-by-step explanation:
5-2=3
What is the scale factor of this dilation? Line segments X Y and X prime Y prime. From the point of dilation, the distance to point Y is 3 and the distance to point X is 2. The distance from point Y to Y prime is 6, and the distance from X to X prime is 4. One-half One-third 2 3
Answer:
Option D or 3
Step-by-step explanation:
It says so on edge 2020. I thought it was option c, but it is D. Can anyone tell me whyyyyyy.
The solution is, the scale factor of this dilation is option D. 3.
What is scale factor?A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.
here, we have,
given that,
Line segments X Y and X prime Y prime.
From the point of dilation, the distance to point Y is 3 and the distance to point X is 2.
The distance from point Y to Y prime is 6, and the distance from X to X prime is 4.
Hence, The solution is, the scale factor of this dilation is option D. 3.
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You take out a loan for $523 at an interest rate of 9% for five years. What is the total amount
that you will have at the end of the five years?
Final answer:
To find the total amount due after five years on a loan of $523 with a 9% interest rate, first calculate the simple interest ($235.35) and then add it to the principal to get a total of $758.35.
Explanation:
To calculate the total amount you will have at the end of five years after taking out a loan for $523 at an interest rate of 9%, you need to use the formula for calculating the future value with simple interest: Principal + (principal × rate × time). The principal in this case is $523, the rate is 0.09 (9% expressed as a decimal), and the time is 5 years.
First, we calculate the simple interest: Interest = Principal × rate × time = $523 × 0.09 × 5. This gives us the total interest that will be charged over the five years.
Step 2. Calculate the simple interest: $523 × 0.09 × 5 = $235.35.
Step 3. Calculate the total future amount using the formula: Principal + Interest = $523 + $235.35 = $758.35.
Therefore, the total amount that you will have to pay at the end of the five years is $758.35.
If the cube shown is 5 inches on all sides, what is the length of the diagonal, x, of the cube?
2.75 inches
35 inches
5
inches
5.75 inches
Answer:
5.75 inches
Step-by-step explanation:
The diagonal will always be larger than the height... I think
Hope this helps?
What is the equation of the line passing through the points (2, -1) and (5, -10) in slope-intercept form?
y=-3x-5
y=-3x+*
= -6
y = 3x+5
Answer:
y=-3x+5
Step-by-step explanation:
m= (-10-(-1))/(5-2) = -3
-1 = -3x2 + c
c=5
Which of the following terms correctly describe the object below? Check all that apply
Emma conducted an experiment in which she rolled a
six-sided, fair number cube 300 times. How many times
would you predict she rolled a 6?
Answer:
50
Step-by-step explanation:
A six-sided fair number cube has numbers 1, 2, 3, 4, 5, and 6 on each side.
so, 300/6= 50
For each number it is predicted that it will roll 50 times.
Answer:
Sample Response: A number cube has six sides. The probability of landing on any of the numbers is equal. The theoretical probability of rolling a 6 is 1/6. I expect a 6 to be rolled (1/6)(300), or 50 of 300 times.
Step-by-step explanation:
PLease help
The line plots show the number of minutes two different age groups of teenagers spent online the previous week.
Answer:
Range: 13 and 15 Mean: 247 and 286
Step-by-step explanation:
A rectangular picture frame has a perimeter of 54 inches. The height of the frame is 14 inches. What is the width of the frame?
The solution is ____( ___+w)= ___. The width of the frame is ____ inches.
The solution is 2( 14 + w ) = 54. The width of the frame is 13 inches.
What is perimeter of rectangle?The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.
Perimeter of the rectangle = 2(length+width)
Given the parameters are;
Rectangular picture frame has a perimeter of 54 inches. The height of the frame is 14 inches.
Perimeter of the rectangle = 2(length+width)
Perimeter = 2( 14 + w )
2( 14 + w ) = 54
Solving;
28 + 2w = 54
2w = 54 - 28
2w = 26
w = 13
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The width of the frame is 13 inches.
To find the width of a rectangular picture frame when the perimeter is 54 inches and the height is 14 inches, we start by understanding the formula for perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length (or height), and w is the width. In this case, we are given that the perimeter (P) is 54 inches and one dimension (the height/length, l) is 14 inches.
Substitute the known values into the perimeter formula to get 54 = 2(14) + 2w. Simplify the equation by first multiplying 2 by 14, which gives 54 = 28 + 2w. To isolate w, subtract 28 from both sides of the equation: 26 = 2w. Finally, divide both sides by 2 to find the width: w = 13 inches.
The solution is 54 = 2(14) + 2w = 28 + 2w. The width of the frame is 13 inches.
Drag point P around the unit circle to find the values of the trigonometric functions.
sin(90°) = 1
cos(180°) = -1
sin(40°) = .643
cos(245°) = -.423
Answer:
See the attachment
Step-by-step explanation:
A unit circle is one whose radius is 1
sin(90) will have coordinates (0,1)
sin(40)= 0.643
sin(40)= P/H= 0.643/1
cos(40)= B/H= 0.766
Similarly for cos(245)= cos(-65)= -0.423/1
sin(245)= sin(-65)= -0.906
The question involves applying knowledge of the unit circle and trigonometric identities to find the values of sine and cosine for certain angles as well as using the Law of Sines and Law of Cosines in triangle problems.
The question involves finding trigonometric function values using the unit circle. The unit circle is a circle with a radius of 1 unit, centered at the origin of the coordinate system, and is a fundamental tool in trigonometry. The sine and cosine values for certain angles are as follows:
sin(90°) = 1
cos(180°) = -1
sin(40°) = 0.643
cos(245°) = -0.423
Additionally, trigonometric identities like sin(90° – x) = cos x are useful for finding values of sine and cosine for complementary angles. The Law of Sines and the Law of Cosines can help solve for unknowns in triangles when certain side lengths and angles are known.
Cindy went to the salon to get highlights and a haircut. Her total cost
was $95. Cindy decided to tip her stylist 22% because she loved her
hair so much. How much was the tip?
Select one:
$20.90
$117
O $115.90
$74.10
Check
Answer:
$20.90
Step-by-step explanation:
To find the tip paid, you simply need to find 22% of the amount paid. This can be done by:
95×0.22= 20.90 dollars.
Answer:
$20.90
Step-by-step explanation:
22% of $95 is $20.90
don't understand please help ;-;
Answer:
72cm^2
Step-by-step explanation:
12x6
Answer:
283 cm²
Step-by-step explanation:
r = 3 cm
2 × 3.14 × 3 (3 + 12)
= 2 × 3.14 × 3(15)
= 2 × 3.14 × 45
= 282.6 cm²
= 283 cm²
Please may you answer this I am on a rush and I got to do a piece of work due in 10 minutes please help out :( xx
6) X=8
7) X=3
8) X=7
9) X=1.5
10) X=0.9
good luck
Answer:
6.) x = 8
7.) x = 3
8.) x = 7
9.) x = 3/2
10.) x = 9/10
Step-by-step explanation:
refer to the pics. Please rate and thumbs up :)
Marina wants to install security cameras in her store, which has dimensions 48 feet by 48 feet. Each camera can view an area of approximately 128 ft2, with a viewing area shaped like a right triangle. The distance between grid lines is 4 feet. The viewing area of a camera is shown on a grid. The grid is 48 feet by 48 feet, with each square having side lengths of 4 feet. The camera has a triangular viewing area of 128 feet squared. The right triangle has 2 side lengths of 16 feet. How many cameras will be necessary to cover the entire store? 6 9 12 18
Answer: 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
what is six times four less than three times x an a algebraic expression
Answer:
6(4-3x)
Step-by-step explanation:
6 times 4 = 6 times 4-3x
The algebraic expression for the given data in the question is 6 ( 4 - 3x ).
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given data is six times four less than three times x.
The given data can be written in the algebraic expression as:-
6( 4 - 3x )
Therefore, the algebraic expression for the given data in the question is 6 ( 4 - 3x ).
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hey! I need help asap. thank you in advance!
Answer:
-2, 6
Hope this helps :)