15 inches is the height of the pyramid
Step-by-step explanation:
The volume of a cube is a³
Given a = 5 inches
→ Volume = a³
= 5³
= 5×5×5
= 125 in²
The volume of a pyramid is [tex] \frac{1}{3} {a}^{2}h[/tex]
Given a = 5 inches , h = height of pyramid
[tex] = > \frac{1}{3} {a}^{2} h[/tex]
[tex] = > \frac{1}{3}(5)^{2}h[/tex]
[tex] = > \frac{1}{3} \times 25 \times h[/tex]
[tex] = > \frac{25}{3}h[/tex]
then,
[tex]125 = \frac{25h}{3}[/tex]
[tex] = > 25h = 125 \times 3[/tex]
[tex] = > 25h = 375[/tex]
[tex] = > h = \frac{375}{25} [/tex]
[tex] = > h = 15[/tex]
Hence, the height of pyramid is 15 inches
PLEASE HELP!!! If the height of the lighthouse is 53 meters and the angle of elevation is 47°, which of the following may be used to find the distance, z, between the boat and the base of the lighthouse?
Answer:
tan(47)=53/z
Step-by-step explanation:
Using trig ratio tan(x)=O/A
there x is the angle of elevation, O is the side opposite the angle (the lighthouse) and A is the side adjacent the angle (distance between boat and bottom of lighthouse)
Therefore, tan(47)=53/z
[tex]\\ \tt\hookrightarrow tan47=\dfrac{H}{B}[/tex]
[tex]\\ \tt\hookrightarrow tan47=\dfrac{53}{B}[/tex]
[tex]\\ \tt\hookrightarrow B=\dfrac{53}{tan47}[/tex]
A lookout tower above a canyon is 4 meters above ground level. The depth of the canyon is 16 meters below ground level. If 0 represents ground level, which number sentence correctly compares their distances above and below ground level?
A) 4<-16
B)4>-16
C)-4<16
D)-4>16
Answer:
B
Step-by-step explanation:
4 meters above. So 4 will not be negative, this eliminates C and D.
16 is definitely negative. So that eliminates C and D again.
< the number on the left of this is smaller than the right
> the number of the right of this is bigger than the left
4 is larger than -16
4>-16
B
Which polynomials are prime? Check all of the boxes that apply.
x2 + 9
x2 – 9
x2 + 3x + 9
–2x2 + 8
Answer:
Answer:
The prime polynomials are
x² + 9
x² + 3x + 9
Step-by-step explanation:
Jimmy's height is 156 cm, Kessie's height is 168 cm, while Lya's height is 132 cm. Define:
Answer:
132<156<168 or 12×1, 12×2 ...
Step-by-step explanation:
Jimmy's 24cm taller than Lya, and Kessie's 12cm taller than Jimmy
What fraction of an hour is four minutes
Answer
1hr/15 mins=60 mins/15 mins=4 minutes.
Step-by-step explanation:
71.5*(-9.2)
A. –657.8
B. –65.78
C. 65.78
D. 657.8
Answer:
(A)
Step-by-step explanation:
you can multiply normally like 71.5 × -9.2 =-657.8
17. Alexis has a painting presently valued at $2000. An art dealer told her the painting would
appreciate at a rate of 8% each year. In how many years will the painting be worth $5000?
Round your answer to the nearest tenth.
Show work please
Answer:
18.8 years
Step-by-step explanation:
8% of $2000 = $160
To be worth $5000, the painting need to rise by $3000
And every year it rise by $160, so it will need 3000 : 160 = 18.75 (round to 18.8) years.
Please Help! ASAP. Will give Brainliest
Answer:
3 Not too sure though
Step-by-step explanation:
don't input my answer, i'm not too sure!
(3x-1)•(5x-3)
find area and perimeter in feet
Answer:
21 is the answers to your question
Can someone please help me with all of these. And thank you.
Answer/Step-by-step explanation:
1. x = -3.6
Add 1 on both sides.
18x = 23x + 18
Subtract 23x on both sides.
Combine like terms.
Divide the answer.
-5x = 18
x = -3.6
2. x = 11/3 (2.66666...)
Add 5 on both sides.
6x = 3x + 11
Subtract 3x on both sides.
Combine like terms.
Divide the answer.
3x = 11
x = 11/3
3. x = 23
Subtract 12 on both sides.
5x = 6x - 23
Subtract 6x on both sides.
Combine like terms.
Divide the answer.
-x = -23
x=23
(that's all.)
2) Riddington and Greenwick are two small villages.
The population of Riddington has increased from 80 people to 120 people.
The population of Greenwick has decreased from 200 people to 120 people.
Show that Riddington has had the greater percentage change in its population.
You must show all your working.
Answer:
See belowStep-by-step explanation:
Find the amount of change in both cases and convert the change into percentage, then compare final results.
1. Riddington
Change:
120 - 80 = 40Percent change:
40/80*100% = 50% increase2. Greenwick
Change:
200 - 120 = 80Percent change:
80/200*100% = 40% decreaseAs we see 50% > 40% so this proves the statement.
Solve the equation: 30 = 5 + 0.5d
Answer:
d = 50
Step-by-step explanation:
30 = 5 + 0.5d ( subtract 5 from both sides )
25 = 0.5d ( divide both sides by 0. 5 )
50 = d
2) It takes me 25 minutes to drive to school in the morning and 20 minutes to drive home after
school if those times stay the same every day, how much time do I spend driving to and from school
in a week?
Answer:
225 minutes if school is 5 days a week.
Step-by-step explanation:
20+25=45. 45x5=225
Is (6,3) a solution to the equation "a"? Yes or No.
Yes
No
Answer:
Yes
Step-by-step explanation:
What is the ratio in decimal form of 75 people in a 10ft X 10ft square?
Answer:
(100 ft^2) / (75 people) is a ratio: 1.3333... ft^2/person
Step-by-step explanation:
There are 75 people in a 100 square foot area. The amount of space (floor space) is (100 ft^2) / (75 people) = 1 1/3 square feet.
(100 ft^2) / (75 people) is a ratio: 1.3333... ft^2/person
A box is 20 inches long and 21 inches high. What is the diagonal length of the box?
Answer:
29 inches
Step-by-step explanation:
Answer:
Use Pythagoras' Theorem:
c²=a²+b²
c²=20²+21²
c²=841
c=√841
c=29 inches
Step-by-step explanation:
Find a polynomial that represents the surface area of a sphere with a radius of (3x – 5) cm.
The surface area of a sphere is 4π^2. Leave your answer in terms of it.
Answer:
π(36x^2 - 120x + 100)
Step-by-step explanation:
4π(3x - 5)^2 = 4π[(3x)^2 - 2*3x*5 + 5^2] = 4π(9x^2 - 30x + 25)
= π(36x^2 - 120x + 100)
Simplify (3x2 − 2) (2x2 − 6x 3). 5x2 − 6x 1 5x2 − 6x − 1 x2 − 6x 1 5x2 − 8x 3.
Answer:
-566
Alternative form:
-5.66 x [tex]10^{2}[/tex]
( SHOW UR WORK) Find the value of 8.41 + 42.320
Answer:
See below.
Step-by-step explanation:
42.32
+8.41
50.73
-hope it helps
Answer:
50.73
Step-by-step explanation:
8.41
42.32
+_________
50.73
Hope this helps! Have a great day!!
Can someone help me with this please!
Answer:
Step-by-step explanation:
PLEASE HELP HURRY WILL MARK THE BRAINLIEST ONLY ANSWER IF U KNOW 25 POINTS!!!what is the value expression 2⁴ plus 3²
Answer:
25
Step-by-step explanation:
2x2x2x2=16
3x3=9
16 + 9= 25
Write an equation for the line parallel to the given line that contains C.
c(3,8); y= 5/8x + 8
Answer:
x= - 64/5
Step-by-step explanation:
1- Substitute y = 0
2- Multiply both sides
3- Move the variable to the left
4- Divide both sides
Find the missing lengths:
LN=
MN=
Answer:
LN=4.33
MN=5
Step-by-step explanation:
sine 60
NEED HELP!! Urgently!
1/2 + 2/9 + 27/53 as a fraction
Answer:
1175/954 there your answer
Find the volume of this cylinder if it has a diameter of 4mm and a height of
14mm.
Answer:
V≈1.76×10-7m³
Step-by-step explanation:
can you simplify 4(-5+100)
15x+3y=27 into slope-intercept form, simplifying all fractions.
Answer:
y = -5x + 9
Step-by-step explanation:
Slope-intercept form is the form
y = mx + b
So you need to rearrange the terms to get the y all by itself on the left. On the right, the x term goes first and last the constant (a plain number) see image.
amelia mom baked 48 cookies after amelia and her friends walk in the kitchen there are 18 cookies left
Pls solve this I can do it after school I can do it after school , I’m going to cry again
Answer:
s = 71
j = 23
71 = 3j+2
71 - 2 = 3j
39 = 3j
j = 23
Answer:
j=23
s=71
Step-by-step explanation:
Here we have two parallel lines lines( UB and DK).
And we have another line, called a transversal that intersects( crosses) both parallel line. Doing so creates the following angles,
Vertical Angles, Angles are equal in measure Alternate Exterior Angles, Angles are equalAlternate Interior Angles. Angles are equalConsective Angles. Angles are equalLinear Pair Angles. Angles add up to 180So now we look at the graph
First, we know that 3j+2 and s are vertical angles since they are across of each other. So they are equal to each other so let look at another angle first.
3j+s and 71 are Alternate Interior Angles since they lie inside the transversal and are across from each other.
Since they are Alternate Interior Angles, they are equal.
So we set them equal to each other.
[tex]3j + 2 = 71[/tex]
Subtract 2 from both sides
[tex]3j = 69[/tex]
Divide both sides by 3
[tex]j = 23[/tex]
The value of j is 23.
Know to find S, we know s is equal to 3j+2, which when we plug in 23 for j, we get 71.
So s=71