Answer:
The surface area of the pyramid is 80.9 cm²
Step-by-step explanation:
The side length, s of the cube is given as 5 cm
Therefore, the largest pyramid that can fit into the cube will have a base side length, s = The side length of the cube = 5 cm
The height, h of the largest pyramid = The height of the cube = 5 cm.
The surface area of a pyramid = Area of base, A + 1/2 × Perimeter of base, P × Slant height, S
The slant height of the pyramid = √(h² + (s/2)²) = √(5² + (5/2)²) = (5/2)×√5
The perimeter of the base = 4×5 = 20 cm
The area of the base = 5×5 = 25 cm²
The surface area of a pyramid = 25 + 1/2×20×(5/2)×√5 = 80.9 cm².
The surface area of a pyramid = 80.9 cm².
What is the slope of the line in the graph? A.2 B.1/2 C.-2 D.-1/2
Step-by-step explanation:
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PLS ANSWER ASAP Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Please answer this question now
Answer:
541.4 m²
Step-by-step Explanation:
Step 1: find m < V
V = 180 - (50+63) (sum of the angles in ∆)
V = 67
Step 2: find side length of XW using the law of sines
[tex] \frac{XW}{sin(V)} = \frac{XV}{sin(W)} [/tex]
Where,
V = 67°
W = 63°
XV = 37 m
XW
[tex] \frac{XW}{sin(67)} = \frac{37}{sin(63)} [/tex]
Multiply both sides by sin(67) to solve for XW
[tex] \frac{XW}{sin(67)}*sin(67) = \frac{37}{sin(63)}*sin(67) [/tex]
[tex] XW = \frac{37*sin(67)}{sin(63)} [/tex]
[tex] XW = 38.2 m [/tex] (to nearest tenth)
Step 3: find the area using the formula, ½*XW*XV*sin(X)
area = ½*38.2*37*sin(50)
Area = 541.4 m² (rounded to the nearest tenth.
The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options. $8 $9 $11 $13 $14
Answer:
The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options.
$8 . YES
$9 . HELL NO
$11 . DEFINITLY NOT
$13 . GET OUTTA HERE
$14 . MMM YES
Step-by-step explanation:
Answer:
A and E or 8, 14
Step-by-step explanation:
Identify the glide reflection rule to map ΔABC onto ΔA′B′C′ in the given figure.
Multiple choice:
(A.) Translation: (x, y) → (x, y – 4); Reflection across the x-axis
(B.) Translation: (x, y) → (x + 4, y); Reflection across the x-axis
(C.) Translation: (x, y) → (x, y + 4); Reflection across the x-axis
(D.) Translation: (x, y) → (x, y – 4); Reflection across the y-axis
Answer:
Answer D
Step-by-step explanation:
First of all, you see that the shape moves down 4 units, which means that (x, y - 4) works. Then, you see it being flipped over vertically, which means it's going over the y-axis. You see that the last answer is the one that works.
A rectangle has a width of x centimeters and a length 10 centimeters longer than the width. If the total perimeter is 220 centimeters, what is the measure of the length?
Answer:
60cmStep-by-step explanation:
Given the width of a rectangle W = x centimeters
If the length is 10 centimeters longer than the width, then L = (10 + x)cm
Perimeter of the rectangle = 220 cm
To calculate the length, we need to first calculate the value of x. Using he formula for calculating the perimeter of a rectangle to get x;
Perimeter P = 2(L+W)
Substituting the value of the length and the width, we will have;
P = 2(10+x+x)
220 = 2(10+2x)
Dividing both sides by 2;
220/2 = 2(10+2x)/2
110 = 10+2x
2x = 110-10
2x = 100
x = 100/2
x = 50cm
Since the length of the rectangle L = 10+x
The length of the rectangle = 10+50 = 60 cm
Hence, the measure of the length is 60 cm
Answer:
60cms
Step-by-step explanation:
TRUE OF FALSE : -4 <-2
Answer: false but not sure
The monthly membership fee for a social club is $10.00. A member is charged an additional fee whenever he or she participates in a social event organized by the club. The additional fee for participation is $35.00 per event. For one month, Amanda was charged $115.00. In how many social events did Amanda participate during the month?
The number of social events will be 3.
What is an expression?Numeral variables and operations marked by the signs for addition, subtraction, multiplication, and division are combined in the mathematical equation.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented using mathematical symbols. They can also signify other characteristics of logical grammar, such as the operation order.
Given that a social club's monthly membership cost is $10. Every time a member takes part in a social event that the club hosts, a separate cost is applied. A $35.00 participation fee is charged for each event. Amanda was charged $115.00 for a month.
The number of events will be calculated as follows:-
TC = 10 + 35N
115 = 10 + ( 35 x N)
N = ( 115 - 10 ) / 35
N = 105 / 35 = 3
Therefore, the number of social events will be 3.
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Need Help ASAP!!!! thanks
Answer: 35 m3
Step-by-step explanation:
Hi, to answer this question, first we have to calculate the base of the pyramid:
Base area = 1/2x base length x height
Base area = 1/2 x 6 x 5 = 15 m2
Volume of a pyramid = 1/3 x base area x height
Replacing with the values given:
V = 1/3 x 15 x 7 = 35 m3
Feel free to ask for more if needed or if you did not understand something.
Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel. How old is Daniel now?
Answer:
Kevin is 6 years old and Daniel is 3 years old
Step-by-step explanation:
They are now 3 years apart but two years ago, they were 4 and 1 years old, so Kevin was 4 times older than.
Hope this helped :)
Which lines are parallel to the graph of 4x - y = 6?
Answer:
Step-by-step explanation:
i cant see answers help my insta is 813.caden
Answer:
y+1=4(x-2)
y=4x+11
8x-2y+6
Step-by-step explanation:
What is a possible value of an integer that is more than 8 units from 20 but less than or equal to 29
Answer:
28 or 29
Step-by-step explanation:
8 more than 20 is 28 and it is less than 29
9 more than 20 is 29 and it is equal to 29
ASAP PLEASE IM BEHINF AND NEED TO SUMBIT ALL WORK BY 12!!!!!!!!!
Which number line shows the graph of x 11?
Answer:
see below
Step-by-step explanation:
x ≥11
Since there is an equals sign we have a closed circle at 11
X is greater so the line goes to the left
Answer: The second graph
Step-by-step explanation: X must be greater than 11 and the filled in circle means it could also be 11.
Which one of the following would most likely have a negative linear correlation coefficient? A. the value of a car compared to its age B. the points scored by a basketball player compared to his minutes played C. the height of a woman compared to her age D. the hours of daylight in a city throughout The year
Answer:
B. the points scored by a basketball player compared to his minutes played
Step-by-step explanation:
Which equation describes the line graphed above? A. -4x-5 B. -1/5x-4 C. -5x-4 C. -4x-1/5
The equation is -1/5x-4 represented by the graph. The correct option is B.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Let us check the equation -1/5x-4. The line goes down one and turns right 5. The Slope is -1/5x and the y-intercept is at -4. The graph of the equation is attached with the answer below.
Hence, option B is correct.
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A company uses two vans to transport
workers from a free parking lot to the
workplace between 7:00 and 9:00 a.m.
One van has 9 more seats than the other.
The smaller van makes two trips every
morning while the larger one makes only
one trip. The two vans can transport 69
people, maximum. Let x be the seats in the small van and y the
seats in the large van. How many seats does the
larger van have?
Answer:
x=20 seats, y=29 seats
Step-by-step explanation:
y-x=9 y=9+x
2x+y=69 solve by substitution
2x+9+x=69
3x=69-9 3x=60
x=60/3=20 (small van)
y=9+x
y=29 (large van)
Answer : 20 in small , 29 in big as big van has 9 small van
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > −4x − 1
y is less than 3 over 2 times x minus 1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (−1, −1) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answer:
Check below
Step-by-step explanation:
Hi there let's graph.
[tex]y>-4x-1\\ y<\frac{3}{2} x-1[/tex]
(Check below)
A) Looking at the pair of inequalities, the solutions is the interval that have the common points that satisfy both inequalities. Look at the graph for the point (6,4) this point satisfy both inequalities.
Plugging in those values (6,4)
[tex]4>-4(6)-1\\4>-25 \\\\[/tex]
Similarly for the second inequality
[tex]4 < 3/2(6)-1\\4<8[/tex]
Since the signal is lesser (<) and greater than (>) the lines are dashed.
B) No. (-1,-1) does not belong to any of those intervals. Check below. By the same procedure above. Check it out algebraically:
-1>4-1
-1>3 False!
And
-1<-3/2-1
-1<-1 False
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A ( 2, -6) B ( 5, -6) C (5,-2) D (2.-2) What is the perimeter of rectangle ABCD? PLEASE ANSWER QUICK!!!
Answer:
The answer is 14
Step-by-step explanation:
Point A to Point B is 3
Point C to Point D is 3
Point B to Point c is 4
Point D to point A is 4.
Add all those together to get 14
Answer:
the answer is 14
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what are the x intercepts of the graph of the function below y=x^2-2x-15
Answer:
(5, 0) and (-3, 0)
Step-by-step explanation:
To find the x-intercepts, let's set y = 0.
0 = x² - 2x - 15
0 = (x - 5)(x + 3) -- To factor x² - 2x - 15, we need to find 2 numbers with a sum of -2 and product of -15; these numbers are -5 and 3.
x - 5 = 0 or x + 3 = 0 -- Use ZPP (Zero Product Property)
x = 5, x = -3
Answer:
x = -3 and x = 5.
Step-by-step explanation:
y = x^2 - 2x - 15
y = (x - 5)(x + 3)
The x-intercepts occur when y = 0. In this case, it's when either (x - 5) = 0, or (x + 3) = 0.
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Hope this helps!
The function f is given in three equivalent forms.
Which form most quickly reveals the y-intercept?
Choose 1 answer:
f(x) = -3(x - 2)2 + 27
© f(x) = -3(x.+ 1)(x – 5)
© f(x) = -3x2 + 12x + 15
What is the y-intercept?
y-intercept = (0,
Answer:
The third function because the y-intercept is (0, 15)
Step-by-step explanation:
what is the slope of the line that goes through the points (-1 4) and (14 -2)?
Answer:
Slope is -0.4 or 2/5
Step-by-step explanation:
x , y x^2,y^2
(-1,4) (14,-2)
y^2-y^1/x^2-x^1
-2-4/14-(-1)
-6/15
=-2/5 or -0.4.
Hope this helps. If right pls give me brainliest thank you.
Answer:
it is -2/5
Step-by-step explanation:
Wesley makes spherical fish tanks with a diameter of 30. A customer requests a smaller tank with half the volume of the tank that Wesley usually makes.
What is the approximate diameter of the smaller tank?
Round to the nearest tenth.
Answer:
23.8
Step-by-step explanation:
V = 4/3 π r³
V = 4/3 π (15)³
V = 4500 π
V = 4/3 π r³
4500 π / 2 = 4/3 π r³
1687.5 = r³
r ≈ 11.9
d ≈ 23.8
Answer:
23.8 is the diameter.
Step-by-step explanation:
Find the indicated area under the curve of the standard normalâ distribution; then convert it to a percentage and fill in the blank. Aboutâ ______% of the area is between zequals=minusâ1 and zequals=1 â(or within 1 standard deviation of theâ mean). About nothingâ% of the area is between zequals=minusâ1 and zequals=1 â(or within 1 standard deviation of theâ mean).
Answer:
68.26%
Step-by-step explanation:
The z score is a measure used in statistic to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then the raw score id below the mean. The z score is calculated using:
[tex]z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score[/tex]
From the normal distribution table, Area between z equal -1 and z equal 1 = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826 = 68.26%
About 68.26% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).
Calculate the shaded region
Answer:
196 cm²-153.9375 cm² = 42.0625 cm ²
Step-by-step explanation:
First, solve for the whole 14^2 = 196 cm²
Now, we know it's lenths are the same so it's a square.
Lastly we need to deduct the quarter circle in the square. Use Formula A=πr² = A≈615.75 cm² /4 = 153.9375 cm²
Solve the system of equations algebraically. Verify your answer using the graph. y = 4x – 5 y = –3
Answer:
(1/2, -3)
Step-by-step explanation:
We have the following equations:
y = 4 * x - 5
y = –3
To solve algebraically, we must replace one equation in another, and we are left with:
-3 = 4 * x - 5
4 * x = 5 - 3
x = 2/4
x = 1/2
Therefore the solution is (1/2, -3)
Now, when we graph both equations, the solution would be the intercept between both graphs, attached corresponding image, the solution would be the same (1/2, -3)
Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and surrounded by packaging material. The total weight of the refrigerator, box, and packaging material was 205 pounds. What is the weight of the box and packaging material?
Answer:
13 lbs
Step-by-step explanation:
you are going to give each customer 12fl oz of lemonade.If you have 15 gallons of lemonade prepared, how many customers will you be able to serve?
Answer:
160
Step-by-step explanation:
so 1 gallon is 128 fluid ounces
how many is 12fl oz
so (1×12)/128=0.09375gallons per person
and you have 15 so if one consumes 0.09375 how many can consume 15
so 15/0.09375
Distance between points on a coordinate plane=(y2−y1)2+(x2−x1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√ distance between pointson a coordinate plane = ( y 2 − y 1 ) 2 + ( x 2 − x 1 ) 2 Find the distance when y2=8, y1=4, x2=6, y 2 = 8 , y 1 = 4 , x 2 = 6 , and x1=7 x 1 = 7 . A. 4.12 B. 6.95 C. 5.66 D. 3.87
Answer:
A. 4.12Step-by-step explanation:
Given the formula for calculating the distance between two points expressed as D = [tex]\sqrt{(y_2-y_1)^{2} + x_2-x_1)^{2} }[/tex]
Given the points y₂ = 8, y₁ = 4, x₂ = 6 and x₁ = 7, to determine the distance we will substitute this values into the given formula as shown;
[tex]D = \sqrt{(8-4)^{2} + (6-7)^{2} }\\\\D = \sqrt{(4)^{2} + (-1)^{2} }\\\\D = \sqrt{16 + 1 }\\\\\\\\D = \sqrt{17} }\\\\D = 4.12[/tex]
Nicole makes $9.50 per hour working at an electronics company. She plans to buy a hand-held computer, the least expensive of which costs $245.60 and the most expensive of which costs $368.40. Write and solve an inequality describing how long Nicole will have to work to be able to buy a hand-held computer.
Please give me steps on how to solve this problem. THANK YOU.
Answer:
26 ≤ x ≤ 39 where x is # of hours
Step-by-step explanation:
If we call the number of hours she works x, Nicole will have made 9.50x after x hours. Therefore, we can write the following compound inequality:
245.60 ≤ 9.50x ≤ 368.40 (Note that we use ≤ instead of <; "at least/most" is denoted by ≤ or ≥)
Dividing the entire inequality by 9.50 (to get rid of the coefficient on x, we get about 26 ≤ x ≤ 39. We round up to the nearest integer because you can't really have, say, 25.69 hours in this context, you would have 26.
Sally has 20 coins in her piggy bank, all dimes and quarters. The total amount of money is $3.05 If d = the number of dimes and q = the number of quarters Sally has, one of the linear equations that could be used to model this situations is
Answer:
[tex]d + q = 20[/tex]
[tex]0.25d + 0.10q = 3.05[/tex]
Step-by-step explanation:
Given
Coins = 20
Value = $3.05
Required
Determine the equation that represent this
From the question, we have that
d = the number of dimes
q = the number of quarters
This implies that;
[tex]d + q = 20[/tex]
Also;
[tex]1 d=\$0.25\ \ and\ \\1 q= \$0.10[/tex]---------- Standard unit of conversion;
This implies that
[tex]0.25d + 0.10q = 3.05[/tex]
Hence, the equations are:
[tex]d + q = 20[/tex]
[tex]0.25d + 0.10q = 3.05[/tex]