Answer:
Below.
Step-by-step explanation:
First find the perpendicular height of the pyramid.
The median of one of the faces, the height and and half the length of the square base make a right triangle with base 2 and hypotenuse 5, so using the Pythagoras theorem:
5^2 = 2^2 + h^2
h^2 = 5^2 - 2^2 = 21
h = √21 inches.
The volume of the pyramid V = 1/3 * h * area of the base, so
V = 1/3 * 4^2 * √21
= 24.44 in^3 to nearest hundredth.
The volume of a right square pyramid will be (16√21) / 3 cubic units.
What is the volume of the pyramid?Let h be the height of the pyramid, l be the slant height and A be the base area of the pyramid.
Then the volume of the pyramid will be
Volume = (1/3) × A × h
The slant height is given as.
l² = (half of side)² + h²
A right square pyramid has a slant height of 5 inches and the length of the base is 4 inches.
Then the height of the pyramid will be
5² = (4/2)² + h²
h² = 25 - 4
h = √21 inches
Then the volume of a right square pyramid will be
Volume = (1/3) × 4 × 4 × √21
Volume = (16√21) / 3
Thus, the volume of a right square pyramid will be (16√21) / 3 cubic units.
More about the volume of the pyramid link is given below.
https://brainly.com/question/17615619
#SPJ2
i need help with this asap! i will give brainliest :) (image included)
7 x 3 = 21 so it is 21 ft cm your welcome
Answer:
The answer is C = 63π
Step-by-step explanation:
V = πr2 h
V = π (3)2 x 7
V = π (9) (7)
V = 63 π
help me i don't get math 17 points
Answer:
805.92
Step-by-step explanation:
PLS HELP!!! WILL AWARD BRAINLIEST!
Rewrite this equation without using absolute value.
Answer:
0.127
Step-by-step explanation:
|√15-5+1 |
|√15-4 |
|3.873-4 |
|-0.127|
0.127
The back of the park bench is the shape of a irregular trapizoid,as shown in the figure. What shapes can the trapizoid be divided into to find the area?
Write an equation of a line in slope-intercept form that passes through the
given points. (2,-1) (6,3) *
Answer:
y = x - 3
Step-by-step explanation:
First, you need to find the slope from the two given points.
y2 - y1 / x2 - x1
= 3 - (-1) / 6 - 2
= 1
The slope is 1x or simply x.
For the y-intercept, you need to plug one of the coordinates into the equation, which is y = x + b
3 = 6 + b
-3 = b
So the equation is y = x - 3
A beachball has a radius of 10 inches. Find the volume of the beachball, in cubic inches.
Round your answer to the nearest whole number.
Answer:
4189 cubic inches
Step-by-step explanation:
Use the formula for the volume of a sphere: V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³
Plug in the radius as r, and simplify:
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](10³)
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](1000)
V = 4188.79
Round to the nearest whole number
= 4189
So, the volume of the beachball is 4189 cubic inches
During a 40% off sale, Tessa pays $24 for a sled. What was the original price?
Answer:
$33.6
Step-by-step explanation:
24*1.4=33.6
the 1.4 represents the added 40% to find the original price of the sled
Answer:
original price = 40
Step-by-step explanation:
make an equation using the information given in the question, x will represent the original price
x - 0.4x = 24
or
x - 2/5x = 24
solve for x
x - 2/5x = 24
3/5x = 24
x = 40
PLZ HELP!!!!!!!!!!!!!
Answer:
Move the decimal point 3 times to the left.
Step-by-step explanation:
4. Jill math score on her test last year 7th grade was 650. Her math teacher told her that her test level went up by 2586. What was Jill's test score level in 6 grade? answer
here are four number cards : 5 6 7 8
pick three cards so that their mean is 7
A triangle has angles that measure 106° and 59°.
What is the measure of the third angle?
74º
121°
15°
47°
Heather Johnson bought a new set of tires for $436.00 and a car seat for $22.85. The state tax rate is 6%, the county tax rate is 1.5%, and the city tax rate is 0.5%. What is the total purchase price?
Answer:
$495.56
Step-by-step explanation:
Tax increases the price paid for a good or service. So, the total price paid for the goods would increase by the total amount of tax
Sum of the three taxes = 6% + 1.5% + 0.5% = 8%
Total cost of items purchased = $436 + $22.85 = $485.85
Total purchase price = Total cost of items purchased x (1 + total tax)
$485.85 x (1.08) = $495.56
If 3 x/4 +2 =56.8, what is the value of x?
A) x≈ −2.891
B) x≈ 6.708
C) x≈ −4.323
D) x≈ −2.059
Answer:
the value of the x is 73.07
Step-by-step explanation:
The computation of the value of the x is shown below:
Given that
3x ÷ 4 + 2 = 56.8
3x + 8 ÷ 4 = 56.8
3x + 8 = 56.8 × 4
3x + 8 = 227.2
3x = 227.2 - 8
3x = 219.2
x = 73.07
Hence, the value of the x is 73.07
This is the answer but the given options are incorrect
To amend a country's constitution, 3/4
of the 46 states in that country must approve the amendment. If 35 states approve an amendment, will the constitution be amended?
Answer:
to answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:
35/50 >= 3/4
7/10 >= 3/4
now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 >= 3/4
(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that the inequality does not hold, so,
35/50 >= 3/4
does not hold either, therefore the Constitution cannot be ammended
Step-by-step explanation:
The equation h = -16t 2+ 53x + 8 gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked. What is the maximum height the football reaches?
Answer: The maximum height the football reaches = 51.89 feet.
Step-by-step explanation:
Given: The equation [tex]h = -16t^2+ 53t + 8[/tex] gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked.
Differentiate the given equation, we get
[tex]h'=-(2)16t+53=-32t+53[/tex] (i)
Put [tex]h'=0[/tex]
[tex]\Rightarrow\ -32t+53=0\\\\\Rightarrow\ t=\dfrac{53}{32}\approx1.65625[/tex]
Differentiate (i) w.r.t. t, we get
[tex]h''=-32[/tex] < 0 i.e. h is maximum at t= 1.65625
The value of h at t= 1.65625 will be [tex]-16(1.65625)^2+53(1.65625)+8=51.890625\approx51.89\text{ feet}[/tex]
Hence, the maximum height the football reaches = 51.89 feet.
t/12 = 4
solve for the solution
help pls asap!!!!!!! brainliest!!!!!!
Answer:
D!
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
-2p^2 - 35pr - 8r^2
I’ll really appreciate it if you help me out on this one .
Answer:
A
Step-by-step explanation:
This is because from the data we can tell its increasing 1.50$ per 5 goldfish.
1.50/5=.30
I WILL GIVE OUT BRAINELIST Quadratic functions g(x) and h(x) are graphed on the same coordinate grid. The vertex of the graph of h(x) is 12 units above the vertex of the graph of g(x) .
Which pair of functions could have been used to create the graphs of g(x) and h(x)?
h(x)=(x+12)2 and g(x)=x2
h(x)=x2−12 and g(x)=x2
h(x)=x2+12 and g(x)=x2
h(x)=(x−12)2 and g(x)=x2
Answer:
h(x)=(x-12)2 and g(x)=2
Help
If 4r = 24, then r=
Answer:
6
Step-by-step explanation:
Given,
4r = 24
[tex] = > r = \frac{24}{4} [/tex]
=> r = 6(Ans)
Answer:
6
Step-by-step explanation:
4r = 24
r = 24/4
r = 6
Look at the graph
The Rate of change between point A and point B is 2. What is the rate of change between point C and D?
Answer:
2/1
Step-by-step explanation:
Answer:
2 i think
Step-by-step explanation:
rise 2 over one makes 2/1 which is 2
Special Cases
(Y+3)(y-3)
Answer:
Y^2-9
Step-by-step explanation:
Find the area of both of these trapeziods using the formula (b1 + b2) • h ÷ 2.
Calculate the difference in areas of the two trapeziods.
Answer:
Area of trapezoid 1: 128
Area of trapezoid 2: 24
Step-by-step explanation:
Trapezoid 1:
(18 + 14)8/2
32*8/2
256/2
128
Trapezoid 2:
(9 + 7)3/2
16*3/2
48/2
24
Bob wants to attend a four-year college that has an annual tuition of $10,100. Bob has saved $11,300 for college. Bob is going to use a student loan to pay for the rest. How much does he need to borrow?
Answer:
29,100
Step-by-step Explanation
Multiply the annual tuition by 4. then subtract that by what he saved
Major arc CBD measures 300 degrees. Which is the radian measure of its corresponding central angle? O 4 pie/3 O 5 pie/6 O 5 pie/3 O 11 pie/6
Answer:
[tex]\dfrac{5\pi}{3}[/tex]
Step-by-step explanation:
Given that,
Major arc CBD measures 300 degrees.
We need to find the radian measure of its corresponding central angle.
Radian measure is given by :
[tex]R=\dfrac{\pi}{180}\times d\\\\R=\dfrac{\pi}{180}\times 300\\\\R=\dfrac{5\pi}{3}[/tex]
So, the radian measure is [tex]\dfrac{5\pi}{3}[/tex].
HELP DUE IN 60 MINS!
21. What should go in Reason 1?
22. What should go in Reason 2?
23. What should go in Reason 3?
These are the choices for the 3 reasons: Given, Alternate Interior Angles Theorem, AA Postulate, SAS Postulate, Reflexive Property of Congruence, SSS Postulate, Vertical Angles Theorem, Substitution Property.
Answer:
corresponding angle , Reflexive Property of CongruenceAA APostulate,A gardener has 100 feet of fencing in order to enclose a rectangular garden. The equation A(x)=x(50−x) gives the area of the garden whose width is x feet. What is a reasonable domain for this function? Explain.
Answer:
the answer is a
Step-by-step explanation:
A reasonable domain would be
−∞<x<∞
because
A(x)
is defined for all real numbers.
How many different 4-digit PIN codes are there that only include the digits 4, 5, 6, 7, 8 and 9
if each of those digits is only allowed to be used once?
Answer:
ecall that 6 + 6 + 6 = 6 × 3
Instead of adding 6 three times, you can multiply 6 by 3 and get 18, the same answer.
Similarly,
6 + 6 + 6 + 6 + 6 + 6 + 6 = 6 × 7 = 42
Still by the same token,
2 + 2 + 2 + 2 = 2 × 4
In algebra, 2 × 4 can be written as (2)(4)
You can think of this as four groups of 2.
This situation is shown in the number line below.
You basically start at 0 and count by 2's until you have put four 2's on the number line. You end up at 8 and 8 is positive.
Step-by-step explanation:
SOMEONE PLEASE HELP. !! ASAP!! NO BULL ANSWERS !!
Answer: does this count as a bull answer
Step-by-step explanation:
Answer:
(3,-3)
Step-by-step explanation:
I hope this helps you on your journey to success.
Rationalize the denominator. I just don't get it. Please help.
∛(5x/3y)
Answer:
Uh, this isnt solvable, you sure u got the right problem???
Step-by-step explanation:
