What is the Volume of the square pyramid? (Round to the nearest tenth as needed)
Answers
base= 25 mm
height= 28 mm
to find:the volume of the square pyramid.
solution:[tex]volume = {a}^{2} \frac{h}{3} [/tex]
[tex]v = {25}^{2} \frac{28}{3} [/tex]
[tex]v = 5833.33333 {mm}^{3} [/tex]
[tex]v = 5833.3 {mm}^{3} [/tex]
Related Questions
Find the area of the sector of the circle.
A)40π
B)200π
C)60π
D)300π
Answers
Answer:
the answer is D) 300 π
Step-by-step explanation:
Formula for Area of sector is:
θ/360° * π * (r)^2
here,
θ= 30° and radius= 60 in
so, after we substitute, we get:
30/360* π* 60*60 after simplifying we get:
= 1/12* π* 5*60
=300π
Hope it helps.
Answer:
D
Step-by-step explanation:
area of sector=
[tex] \frac{theta}{360} \times \pi \: r {}^{2} \\ \\ \frac{30}{360} \times \pi \: (60) {}^{2} \\ \\ 300\pi[/tex]
360
pls help with this maths question... feels like I'm missing something easy ;/
Answers
Answer:
10.34 cm.
Step-by-step explanation:
First we need to calculate the angle between the hour and minute hand
We see that there are 5 * 5-minute intervals between the 2 hands and the clock has 12 * 5-minute intervals, so:
This is 5/12 * 360 = 150 degrees,
So we apply the Cosine Rule to the triangle:
x^2 = 4.5^2 + 6.2^2 - 2*4.5*6.2cos150
= 107.014
x = √107.14 = 10.34.
Missing length is 10.3cm to 1.d.p
The clock is a circle divided into 12
360/12=30 degrees for each part
1) 7 to 8
2) 8 to 9
3) 9 to 10
4) 10 to 11
5) 11 to 12
5 parts
30 x 5 = 150 degrees
We've got an angle between 2 lengths - cosine rule comes to mind for me.
a = root 6.2^2 + 4.5^2 - 2x6.2 4.5 x cos 150
= 10.34476764
length is 10.3cm to 1.d.p
(the others are to 1.d.p too)
Hope this helps!
Bob has 30 coins, which are all dimes and quarters. If the total amount of money he has
is $4.80, how many of each coin does he have?
Answers
Answer:
that means he will have 25.2
Draw a right trapezoid with bases of 8 and 10 cm
Answers
Answer:
Here is a picture of a right trapezoid with bases of 8 and 10 cm
In 2010, Cameron invested $10,000 in an account that earns 8. 5% interest compounded monthly. How much money would Cameron have gained by 2025?
Answers
Answer:
Step-by-step explanation:
First, we need to calculate how many years will earn percent.
2010---->2025= 15 years elapsed. Now we have our time, we need to plug it in our compound interest formula=
Principal(rate+1)^time or A=P(1+R)^t
10,000(0.085+1)^15
=$33,997.43
To calculate how much Cam earned, you need to subtract from original amount.
=$33,997.43-10,000=
---->$23997.43
Please mark me brainiest :)
Which factored form is equivalent to the expression x^2 + 5x + 4? A) (x + 2)(x + 3) B) (x + 4)(x + 1) C) (x + 5)(x − 1) D) (x − 4)(x + 1)
Answers
option B.
Calculations ↓
First, let's think of two numbers so that :
if we multiply these numbers, we'll get 4if we add these numbers, we'll get 5These numbers are :
4 and 1
Plug these numbers here :
(x+4) (x+1)
So the correct factored form of this expression is
Option B) (x+4)(x+1)
[tex]\footnotesize\text{hope\:helpful~}}[/tex]
Tisha and her scout troop are heading to the Swing Time zipline park. They plan to purchase
the group package. With the package, the cost per person is $5 less than the normal cost for
an individual. There are 12 scouts in Tisha's troop. Her troop leader called ahead and found
that the total cost for the group will be $150. What is the normal cost for an individual?
Answers
Answer:
$17.5
Step-by-step explanation:
divide 150 by 12 to get 12.5. 12.5 is what they paid per-person with the discount. add 5 to get 17.5 and that is the on-discounted price
The normal cost for an individual is $17.50.
Let's denote the normal cost for an individual as "N."
According to the given information, with the group package, the cost per person is $5 less than the normal cost for an individual. So, the cost for each scout in Tisha's troop is "N - $5."
There are 12 scouts in Tisha's troop, so the total cost for the group is given as $150.
We can set up an equation based on the total cost:
Total Cost = Cost per Person × Number of People
$150 = (N - $5) × 12
Now, let's solve for the normal cost for an individual (N):
$150 = 12N - $60
12N = $150 + $60
12N = $210
N = $210 / 12
N = $17.50
So, the normal cost for an individual is $17.50.
To know more about normal cost:
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Determine the length of the missing side.
Answers
Answer:
5
Step-by-step explanation:
pythagorean triple is 5-12-14 or use pythagorean theorem
b=[tex]\sqrt{ 13^{2} -12^{2} }=\\\sqrt{169-144} =\\\sqrt{25} =5[/tex]
Answer: 5
Step-by-step explanation: The square root of 13²- 12²
Don't Send links, don't Write random things and get the points for free.
Answers
Answer:
2,714in^3
Step-by-step explanation:
V = pi*r^2*h
V = 3.14*6^2*24
V = 3.14*36*24
V = 2,714
The volume of the cylindrical fish tank is 2,714 inches cubed.
Answer:
Option A, [tex]2714\ in^3[/tex]
Step-by-step explanation:
Step 1: Determine the volume of the cylinder
[tex]V=\pi r^2h[/tex]
[tex]V=\pi *(12\ in/2)^2*24\ in[/tex]
[tex]V=\pi *(6\ in)^2*24\ in[/tex]
[tex]V=\pi * 36\ in^2 *24\ in[/tex]
[tex]V = \pi *864\ in^3[/tex]
[tex]V=2,714\ in^3[/tex]
Answer: Option A, [tex]2714\ in^3[/tex]
find area of the shaded portion of the figure
Answers
Answer:
[tex]\sf C) \quad 57 \frac34 \:cm^2[/tex]
Step-by-step explanation:
To find the shaded area, subtract the area of the semicircle from the area of the rectangle.
Formulae
[tex]\textsf{Area of a rectangle}=\textsf{width} \times \textsf{length}[/tex]
[tex]\textsf{Area of a semicircle}=\dfrac12 \pi r^2 \quad \textsf{(where r is the radius)}[/tex]
[tex]\textsf{Diameter of a circle}=2r \quad \textsf{(where r is the radius)}[/tex]
Area of rectangle
Given dimensions of the rectangle:
width = 7 cmlength = 11 cmSubstituting these values into the formula:
[tex]\implies \textsf{Area}=\textsf{7} \times \textsf{11}=77\: \sf cm^2[/tex]
Area of semicircle
Diameter of semicircle = 11 - 2 - 2 = 7 cm
⇒ Radius (r) = 7 ÷ 2 = 3.5 cm
[tex]\textsf{let}\: \pi=\dfrac{22}{7}[/tex]
[tex]\implies \textsf{Area}=\dfrac12 \left(\dfrac{22}{7}\right) (3.5)^2=19.25\: \sf cm^2[/tex]
Area of shaded region
= area of rectangle - area of semicircle
= 77 - 19.25
= 57.75
[tex]\sf =57 \frac34 \:cm^2[/tex]
answer this super simple word problem for so many points
Answers
Answer:
60kph
Step-by-step explanation:
Distance = Rate X Time
640 = r x 4+ (r+5) x 7
640 = 4r + 7r + 35
640=11r + 35
640 - 35 = 11r
605 = 11r
r = 605 / 11
r= 55 kph
r=55 =5 =60 kph is the speed of the train
To see if the answer is right: 55 x 4 + 60 x 7 = 220 + 420 = 640 km
6. A rectangle with a length of 15 feet has a
diagonal that measures 17 feet. Find the
perimeter of the rectangle.
Answers
Answer:
46 feet
Step-by-step explanation:
it is a 8-15-17 Pythagorean Triple (or you can use the Pythagorean theorem)
P=8+8+15+15=46
The perimeter of the rectangle with a length of 15 feet and has a diagonal that measures 17 feet is: A. 46 feet.
What is the Perimeter of a Rectangle?To find the perimeter of the rectangle, we need to know the width of the rectangle. Let's call the width of the rectangle W.
In a rectangle, the diagonal, length, and width are related by the Pythagorean theorem:
Diagonal² = Length² + Width²
In this case, the diagonal (D) is 17 feet, and the length (L) is 15 feet. So we have:
17² = 15² + W²
289 = 225 + W²
Now, let's solve for W:
W² = 289 - 225
W² = 64
W = √64
W = 8 feet
Now that we know the width is 8 feet, we can calculate the perimeter (P) of the rectangle:
Perimeter = 2 * (Length + Width)
= 2 * (15 + 8)
= 2 * 23
Perimeter = 46 feet
Learn more about Perimeter of a Rectangle on:
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Brady dilates an oblique prism by a scale factor of 2/3. Determine the scale factors for perimeter, area, and Volume. (Answer as a fraction)
Answers
Using proportions, it is found that:
The scale factor for the perimeter is of [tex]\frac{2}{3}[/tex].The scale factor for the area is of [tex]\frac{4}{9}[/tex].The scale factor for the volume is of [tex]\frac{8}{27}[/tex].What is a proportion?A proportion is a fraction of a total amount.
For the perimeter, as it is given in units, the scale factor is the same, hence it is of [tex]\frac{2}{3}[/tex].
For the area, as it is given in units squared, the scale factor is squared, hence:
[tex]\left(\frac{2}{3}\right)^2 = \frac{4}{9}[/tex]
For the volume, as it is given in cubic units, the scale factor is eleveted to the third power, hence:
[tex]\left(\frac{2}{3}\right)^3 = \frac{8}{27}[/tex]
More can be learned about proportions at https://brainly.com/question/24372153
The endpoints of a
diameter of a circle are (2,
4) and (-4, 7). What is the
standard form of the
equation
of this circle?
I know one of the answer is not c
Hurry i got like 30 mins left and a girl is tired
Answers
Answer:
2nd option
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
the centre is at the midpoint of the endpoints of the diameter.
The coordinates of the centre is the average of the coordinates of the endpoints.
centre = ( [tex]\frac{-4+2}{2}[/tex], [tex]\frac{7-1}{2}[/tex] ) = ([tex]\frac{-2}{2}[/tex] , [tex]\frac{6}{2}[/tex] ) = (- 1, 3 )
the radius is the distance from the centre to either of the endpoints
using the distance formula to calculate r
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2[/tex]
with (x₁, y₁ ) = (- 1, 3 ) and (x₂, y₂ ) = (2, - 1 )
r = [tex]\sqrt{(2-(-1))^2+(-1-3)^2}[/tex]
= [tex]\sqrt{(2+1)^2+(-4)^2}[/tex]
= [tex]\sqrt{3^2+16}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
then equation of circle is
(x - (- 1) )² + (y - 3)² = 5² , that is
(x + 1)² + (y - 3)² = 25
What lines are parallel?
A: y=3x-2 and y=1/3x-3
B: y=x and y=3
C: y=0 and y=3
Please explain the answer!!! Will give brainliest!!!
Answers
Answer:
C
Step-by-step explanation:
y=0 gives the straight horizontal line passing through (0,0)
y=3 also gives straight horizontal line passing through (0,3)
In order to find out which two lines are parallel, let's find the slope of each line first.
The slope of the line y=3x-2 is 3.
The slope of the line y=1/3x-3 is 1/3
The slope of the line y=x is 1
The slope of the line y=3 is 0
The slope of the line y=0 is 0
Now, if two lines have the same slope, they are parallel to each other.
So if a line's slope is 0, the line parallel to it has a slope of 0.
So the parallel lines here are ↓
y=0 and y=3
hope helpful ~
A notebook costs £1.60, a pen costs 37p, a pencil costs 21p and a sharpener costs 86p.
Remi buys 3 pencils, 2 pens, 3 sharpeners and some notebooks.
He pays with £8 and receives 85p change.
How many notebooks did he buy?
notebooks
Answers
3 pencils times 21p= 63p
2pens times 37p=74p
3sharpeners times 86p=258p
63p+74p+258p=£3.95
£8-3.95=£4.05
£4.05-£1.60= £2.45
£2.45-£1.60=85p
So… he bought 2 notebooks
Answer:
2
Step-by-step explanation:
£1 = 100p
3*21p+2*37p+3*86p+x*160p (x is the number of notebooks)
63p+74p+258p+x*160p = 395p+x*160p
He paid £8 so he paid 800p
800p-395p = 405p
405p-85p = 320p
320p:160p = 2
He bought 2 notebooks
Whats 38240 divided by 4
Answers
Answer:
9560
Step-by-step explanation:
Use a calculator or do long division.
You can also divide by 2 twice.
38240/2 = 19120
19120/2 = 9560
Answer: 9560
Answer:
9560
Step-by-step explanation:
30000÷4=7500
8000÷4=2000
200÷4=50
40÷4=10
0÷4=0
7,500+2,000+50+10+0=9,500+60=9,560
Calculate the area of a square with side length 12 cm
Answers
Answer:
144 cm^2
Step-by-step explanation:
A square has equal sides, and so if one side is 12 cm, so are the rest.
So 12 * 12 = 144.
Answer:
c
Step-by-step explanation:
Which of the following functions has a rate of change that stays the same?
A:y = 4x+10
B:y=-4x+10
C:y = 3^x
D:y = x² + 2
Answers
Answer:
C:y = 3^x
Step-by-step explanation:
The answer is C because the rate of change is always -6.
I’m confused please help!
Answers
Answer:
See below
Step-by-step explanation:
c will be tha same as the labelled angle = 99 degrees
then c + b = a straight line = 180
99 + b = 180
b = 81 degrees
The graph of a linear function is shown on the grid.
Which equation is best represented by this graph?
Answers
Answer:
C
Step-by-step explanation:
Because thats the answer
select the equivalent expression (3^3*6^6)^-3
Answers
Answer: Choice B and Choice D
Step-by-step explanation:
4^-2 * 7^-2= 16*49=784
Answer:
B & C
Step-by-step explanation:
[tex]4^-^2*7^-^2[/tex] is equal to [tex]\frac{1}{784}[/tex]
[tex]\frac{1}{28^2}[/tex] is also requal to [tex]\frac{1}{784}[/tex]
[tex]\frac{7^-^2}{4^2}[/tex] is also equal to [tex]\frac{1}{784}[/tex]
A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a 200-meter sprint in which there are 8 runners
Answers
Answer:
1320 ways
Step-by-step explanation:
an olympic event getting a gold medal is not equal to getting a silver or a bronze medal. Hence, we will use the concept of permutation for this problem as order matters here. Hence, there are 1320 ways in which 8 runners can get these 3 medals
helpppp will give brainlistdhd
Answers
Answer:
S18 = 288
Step-by-step explanation:
find the first and last term.
n = 1
a1 = 2 x 1 - 3
a18 = 2 x 18 - 3
(simplify the expression)
a1 = -1
a18 = 33
(use the formula for the sum of a finite arithmetic series)
a1 + a18
S18 = 18 x ---------------------
2
(use the substitute) substitute -1 for a1 and 33 for a18
-1 + 33
S18 = 18 x ---------------------
2
simplify the expression and ur done hope this helped x
ps. wheres my head :)
which fraction is equivlent to 8/10
Answers
Answer:
4/5 or 16/20
Step-by-step explanation:
did my best with the info provided
Answer:
4/5
Step-by-step explanation:
8/10 = 80% 1. / the fraction by 2
4/5 = 80%
A vending machine that takes only dimes and
quarters contains 30 coins, with a total value of
$4.20. How many of each coin are there?
Answers
Explanation: You can guess and check. You know you need more dimes because they are worth less. It would take more dimes to make up 30 coins. And you also know that quarters cannot make .20 exactly. So your number of dimes must make .20. So I guessed numbers that would have .20 left over, and added quarters to get to $4.20.
The function h(x) is given in the table above.
Which of the following choices shows the
average rate of change of the function over the
interval 2 ≤ x ≤ 6?
A. 6/4
B. -3/2
C.-7/6
D. -1
Answers
B. -3/2
[tex]\bold{EXPLANATIONS:}[/tex]
Rate of change
h(6)-h(2)/6-23-9/6-2-6/4-3/2Option B
P is a rectangle with length 40 cm and width x cm. Q is a rectangle with width y cm. P The length of Q is 25% more than the length of P. The area of Q is 10% less than the area of P. Work out the ratio x : y x cm Give your answer in its simplest form. 40 cm Q y cm
Answers
From rectangle P and Q, the ratio of x to y is 25/18
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Area of P = 40 * x = 40x cm²
Area of Q = y * (1.25 * 40) = 50y cm²
Given that area of Q = 90% if P = 0.9(40x) = 36x cm²
50y cm² = 36x cm²
x/y = 50/36 = 25/18
From rectangle P and Q, the ratio of x to y is 25/18
Find out more on equation at: https://brainly.com/question/2972832
a. Subtraction Property of Equality
b. Addition Property of Equality
c. Division Property of Equality
d. Multiplication Property of Equality
Answers
Answer:
The correct answer would be option A; Subtraction Property of Equality
Step-by-step explanation:
This is because you are subtracting 3 on both sides of the equation to go from;
x + 3 = 17
to
x = 14
Hope this helps!
Every day when Brandon arrives at work he must decide to either take the stairs or use the elevator to get to his office on the third floor. What type of decision is this
Answers
Answer:
would you rather, i think