Answer:
Volume of pyramid = 5000 cubic inches.
Step-by-step explanation:
Given the following data;
Length = 20 inches
Width = 30 inches
Height = 25 inches
To find the volume of pyramid;
Mathematically, the volume of a pyramid is given by the formula;
[tex] Volume = \frac {1}{3} * base \; area * height [/tex]
First of all, we would determine the base area;
Base area = length * width
Base area = 20 * 30
Base area = 600 in²
Substituting into the formula, we have;
[tex] Volume = \frac {1}{3} * 600 * 25 [/tex]
[tex] Volume = 200 * 25 [/tex]
Volume of pyramid = 5000 cubic inches.
I NEED HELP ASAP!!!
**Ignore the theorem portion above. Answer the angle measure questions, rounding all answers to the nearest tenth***
Answer:
SVU = 90
TUV = 65
Step-by-step explanation:
Answer:
sorry if it's messy, I tried my best even though I'm not sure for ST.
Which has a greater slope, a horizontal line or a vertical line?
A. A vertical line has no defined slope, so the comparison cannot be made.
B. Horizontal line
C. Vertical line
D. A horizontal line has no defined slope, so the comparison cannot be made.
Answer:
A
Step-by-step explanation:
The slope of a vertical line is undefined
The slope of a horizontal line is 0
SOMEONE PLEASEEEE HELPPPP!?!!?!?!!?!?!
Answer:
3/35, 12/35, 16/35, 4/35
Step-by-step explanation:
The box has a total of 35 squares.
The pink fills 3 squares so the pink section is: 3/35
The dark blue section covers 12 squares
So 12/35 is another fraction.
The light blue area covers 16 squares so another fraction is 16/35
The white covers 4 squares
So the last possible fraction is 4/35.
SOMEONE HELP ME PLEASE PAST DUE!! No websites allowed!
Give me the answer for the blanks
Airplane
Boat
Bike
The clues are at true bottom
Answer:
Airplane goes 550 mph
Bike goes 9 mph
Ship goes 27 mph
Step-by-step explanation:
The airplane goes 1,925 every 3.5 hours
Divide 1925 by 3.5
1925/3.5 = 550mph
Do the same thing with the bike’s numbers:
45/5 = 9
So 9mph
And again with the ship:
432/16 = 27
It also says its three times as fast as the bike so:
9 x 3 = 27
So the ship goes 27 mph
Jackie deposits $2,050 into an account that pays 6.8% interest compounded annually. How much will be in the account (to the nearest dollar) after 6 years?
Answer:
$2091 (exact answer is $2090.80)
Step-by-step explanation:
2050 × 6.8% = 6.8
So, interest will add an extra $6.80 to his account
6.8 × 6 = 40.8
So, after 6 years, interest will make him an additional $40.80.
Add 40.80 to his original amount of money.
2050 + 40.8 = 2090.80
Round it up to the nearest dollar.
$2091
Country bank pays a simple interest rate of 4% per year. A student plans to invest 5000. How much money will the student have at the end of 6 years
Answer:
$6200
Step-by-step explanation:
Given data
Rate= 4%
Principal=$5000
Time = 6 years
The simple interest formula is
A=P(1+rt)
substitute
A=5000(1+0.04*6)
A= 5000(1+0.24)
A=5000*1.24
A=$6200
PLEASE HELP!!!
25 POINTS
Solve the system of equations by substitution. * -8x + 2y = 4 y = 4x + 2
Answer:
Step-by-step explanation:
-8x + 2y = 4
y = 4x + 2
Put the value of y into the first equation
-8x + 2(4x + 2) = 4 Remove the brackets
-8x + 8x + 4 = 4 The 8xs cancel out.
4 = 4 But this is useless. There is no single solution
the product of 5 and a number X is 22
i dont need what it equals
Inverse operations to the rescue!
So, you'd perform 22÷5 (product signals multiplication) to get your answer, 4.4. x=4.4
A rectangle has the dimensions shown. The area of the rectangle would be represented by which type of expression? linear expression quadratic expression exponential expression rational expression
Answer:
rational expression
Step-by-step explanation:
Answer:
it's quadratic
Step-by-step explanation:
find the product (x+3y^2) (3x-3y^2)
Answer:
3x^2 - 12x·y^2 - 9y^2·y^4
Step-by-step explanation:
Apply the distributive property of multiplication here.
x times (3x - 3y^2) is 3x^2 - 3x·y^2.
3y^2 times (3x - 3y^2) is 9x·y^2 - 9y^2·y^4.
Thus, the desired product of the given binomials is the sum of the above results:
3x^2 - 3x·y^2 - 9x·y^2 - 9y^2·y^4
which shortens to 3x^2 - 12x·y^2 - 9y^2·y^4
Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes with four standard dice.
Answer:
[tex]Pr = \frac{1}{216}[/tex]
Step-by-step explanation:
The sample space of a single dice is:
[tex]S = \{1,2,3,4,5,6\}[/tex]
[tex]n(S) = 6[/tex]
Required:
The probability of rolling 3 sixes
In a sample space of a roll of die, we have:
[tex]n(6) = 1[/tex]
In a roll of dice, the probability of rolling a 6 is:
[tex]P(6) = \frac{n(6)}{n(S)}[/tex]
[tex]P(6) = \frac{1}{6}[/tex]
In 3 rolls, the probability is:
[tex]Pr = P(6)^3[/tex]
[tex]Pr = [\frac{1}{6}]^3[/tex]
[tex]Pr = \frac{1}{216}[/tex]
Question 2 (1 point)
A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking,
you choose a tile. What is the probability of drawing a number?
The Jacksons and the Simpsons were competing in the final leg of the Amazing Race, which was 240240240 kilometers long. In their race to the finish, the Jacksons immediately took off traveling at an average speed of vvv kilometers per hour. The Simpsons' start was delayed by an hour. When they eventually took off, they traveled at an average speed that was 404040 kilometers per hour faster than the Jacksons' speed. Sadly for them, that didn't help, and the Jacksons won. Write an inequality in terms of vvv that models the situation.
Answer:
240/(v+40) + 1 > 240/v
Step-by-step explanation:
Both parties traveled a distance of 240 km.
Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1
Jacksons took off at average speed of v km/h: 240/v
An inequality in terms of v that models the situation is; [240/(v + 40)] + 1 > 240/v
How to write an inequality?We are told that distance travelled by both Jackson and Simpson is 240 km each.
Jacksons took off at average speed of v km/h. Thus, their time taken is 240/v
The Simpsons took off at an average speed of 40 km/h faster than Jacksons Speed. Since their start was delayed by an hour, then;
Time taken = [240/(v + 40)] + 1
Thus, the inequality that models the situation is; [240/(v + 40)] + 1> 240/v
Read more about Inequality at; https://brainly.com/question/25275758
#SPJ6
Which expression is equivalent to (r^-7)^6?
A: r^42
B: 1/r^42
C: -7r^6
D: 1/r
Answer:
B
Step-by-step explanation:
(r^-7)^6 = r^-42 = 1/r^42
Calculate the surface area of the square pyramid below.
yd2
Answer:
155
Step-by-step explanation:
UNIT TEST:
TVAH: GeometryB Unit 4 Test
The perimeter of the base of a right square pyramid is 32 cm. The height of the
pyramid is 8 cm.
What is the volume of the pyramid?
O 256 cm
O 170.67 cm
o 85.33 cm
O 512 cm
2 3
4
5
6
7
Next
8 9 10 11
o
9
Answer:
170.67 cm^3
Step-by-step explanation:
The volume is given by ...
V = 1/3s²h
We are given that 4s=32, so s=8. We are also given that h=8. (All linear dimensions are in centimeters.) Then the volume is ...
V = (1/3)(8²)(8) = 512/3 = 170.67 . . . . cm³
Answer:
170.67 cm^3
Step-by-step explanation:
took the test
‼️ PLEASE HELPPPPP ‼️
A frog is jumping onto a lily pad. Its height, h (in feet), is recorded at various seconds, t, in the
table below. Write an equation for the curve of best fit, then estimate the height of the frog after 6
seconds.
1
0
2
1
4.5
6
2
3
6.5
4
6
The curve of best fit is an illustration of a quadratic regression
The equation of the curve of best fit is [tex]y = -\frac{17}{18}x^2 + \frac{17}3x + 2[/tex], and the height of the frog after 6 seconds is 2 feet
How to determine the equation of the curve of best fit?To determine the equation of the curve of best fit, we make use of a graphing calculator
Using the graphing calculator, we have the following calculation summary
a = -17/18b = 17/3c = 2The equation of the curve of best fit is represented as:
[tex]y = ax^2 + bx + c[/tex]
Substitute the values for a, b and c.
So, we have:
[tex]y = -\frac{17}{18}x^2 + \frac{17}3x + 2[/tex]
After 6 seconds, the value of x is 6.
So, we have:
[tex]y = -\frac{17}{18} * 6^2 + \frac{17}3 * 6 + 2[/tex]
Evaluate
[tex]y = 2[/tex]
Hence, the height of the frog after 6 seconds is 2 feet
Read more about curve of best fit at:
https://brainly.com/question/25226042
can some give me the anwsers
Answer:
150 -160
Step-by-step explanation:
I not amazing at this but i do know this is kinda hard. sorry if it is wrong
Solve for x. Give explanation
Answer:
x = 47 degrees.
Step-by-step explanation:
The angles in a triangle add up to 180 degrees, therefore:
x + 43 + 90 = 180
x = 180 - 43 - 90
x = 180 - 133
= 47 degrees.
100 POINTS AND BRAINLIEST
What is the common difference of the arithmetic sequence? −17, −13, −9, −5, −1
A) -17
B) -13
C) 4
D) -4
Answer:
The common difference is 4 or C on your test
Step-by-step explanation:
-17+4= -13
-13+4= -9
And so on...
After winning a soccer game, the coach took the team out for ice cream cones. He spent $21 on 12 single-scoop ice cream cones. If all the ice cream cones cost the same amount, what was the cost of one ice cream cone?
Answer:
Unitary cost= $1.75
Step-by-step explanation:
Giving the following information:
He spent $21 on 12 single-scoop ice cream cones.
To calculate the unitary cost, we need to use the following formula:
Total cost= number of units*unitary cost
Unitary cost= total cost / number of units
Unitary cost= 21 / 12
Unitary cost= $1.75
simplify (2x^2+3)(x+4
Answer:
23+32−5+12 is the equaequation simplified
Step-by-step explanation:
What is the equation of the line with slope −3 and y-intercept 6? Express your answer in slope-intercept form.
A. y = 3x + 6
B. y = −3x − 6
C. y = −3x + 6
D. y = 3x − 6
Answer:
C. y = -3x +6
Step-by-step explanation:
y = mx + b
m= slope = -3
b = y-intercept = 6
y = -3x + 6
A plane traveled 1092 miles to Riyadh and back. The trip there was with the wind. It took 6
hours. The trip back was into the wind. The trip back took 7 hours. Find the speed of the plane
in still air and the speed of the wind.
Answer:
Step-by-step explanation:
p and s was are the speeds of the plane and wind, respectively.
Traveling with the wind, the plane moves p+w miles per hour.
p+w = (1092 miles)/(6 hours) = (182 miles)/hour
Traveling against the wind, the plane moves p-w miles per hour.
p-w = (1092 miles)/(7 hours) = (156 miles)/hour
Add the equations together
p+w = 182
p-w = 156
—————-
2p = 338
p = 169 miles per hour
w = p-156 = 13 miles per hour
x+2y=3;3x+5y=7 solve by elimination method
Answer:
(- 1, 2 )
Step-by-step explanation:
Given the 2 equations
x + 2y = 3 → (1)
3x + 5y = 7 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 3x - 6y = - 9 → (3)
Add (2) and (3) term by term to eliminate x
0 - y = - 2
- y = - 2 ( multiply both sides by - 1 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for y
Substituting into (1)
x + 2(2) = 3
x + 4 = 3 ( subtract 4 from both sides )
x = - 1
solution is (- 1, 2 )
Answer:
(2,1)
Step-by-step explanation:
A P E X
what is the measure of each exterior angle of a regular 67-gon?
The measure of each exterior angle of a regular 67-gon is 5.73
Given that,
There is the regular 67-gon.And, the sum of exterior angle is 360.
Based on the above information, the calculation is as follows:
[tex]= 360\div 67[/tex]
= 5.73
Learn more: brainly.com/question/17429689
Someone look at the photo and answer I need help
Step-by-step explanation:
To find the composite function, it says
[tex](f \: o \: g)(x)[/tex]
means we put the function g(x) into f(x) so that means it looks like
[tex]( \sqrt{x}) {}^{2} - 4[/tex]
Which equal
[tex]x - 4[/tex]
So that expression above is the answer.
To find the range we must find the range of the inner function ,(g(x) and then see which parts it corresponds of f(x).
The range of a g(x) which is a radical function is all real numbers.
The range of a f(x) which is a quadratic function is all real numbers greater than or equal to -4.
This means for our function to work we can use any numbers as long as it greater than -4.
So we would represent that as x is all real numbers as long as x is greater than or equal to -4
In interval notation this would be
[-4,+ infintiy)
Which of the following sets of side lengths could produce a triangle? SELECT ALL THAT APPLY. (7TH GRADE MATH)
A) 3,6,9
B) 13, 5, 6
C) 5, 5, 10
D) 5, 7, 11
E) 4, 4, 4
Answer: C)5,5,10
Step-by-step explanation: