Answer:
volume is 540 inches^3
Step-by-step explanation:
The computation of the volume of the full sized solid is given below:
The length would be
[tex]\frac{a}{3}, \frac{b}{3}, \frac{c}{3}[/tex]
And, the volume is
[tex]\frac{a}{3} \times \frac{b}{3} \times \frac{c}{3}[/tex]
As the volume is given 20 cubic inches
So,
[tex]\frac{abc}{27} = 20\\\\abc = 540 inches^3[/tex]
hence, volume is 540 inches^3
2) 1) A 6 ft tall lawn ornament standing next to a baby elephant casts a 18 ft shadow. If the baby elephant casts a shadow that is 12 ft long, then how tall is it?
Answer: 4 feet.
Step-by-step explanation:
Proportion from lawn ornament to its shadow = 6ft : 18ft = 1 : 3
Proportion from baby elephant to its shadow = x : 12ft
These proportions have to be equal, because if it is the same time of day, the different object's shadows will have the same proportions.
In order to solve this problem, we need to cross multiply. (Attached image)
So, 3x = 12.
By solving this equation, we find that x = 4
The height of the baby elephant is 4 feet.
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
What is the slope of the line that passes through the points (2, -3) and (5, 1)
Answer:
Answer is (4) 4/3
Step-by-step explanation:
[tex]\frac{1- -3}{5-2}[/tex]
[tex]\frac{4}{3}[/tex]
Answer:
slope is 4/3
Step-by-step explanation:
1-(-3)/5-2
4/3
Homework: Ch 5.2 Practice A - MyLab
Score: 0 of 1 pt
1 of 3 (0 complete)
5.2.13
Assume a member is selected at random from the population represented by the graph Find the probability that the
member selected at random is from the shaded area of the graph Assume the variable x is normally distributed
SAT Critical Reading Scores
Q
200
510
0121
os
200
375
800
Score
The probability that the member selected at random is from the shaded area of the graph is (Round to four decimal places as needed)
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A random sample of SAT scores has a sample mean ofă = 1060 and sample standard deviation of s = 195. Use the
Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.
Answer:
The approximate percentage of SAT scores that are less than 865 is 16%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1060, standard deviation of 195.
Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.
865 = 1060 - 195
So 865 is one standard deviation below the mean.
Approximately 68% of the measures are within 1 standard deviation of the mean, so approximately 100 - 68 = 32% are more than 1 standard deviation from the mean. The normal distribution is symmetric, which means that approximately 32/2 = 16% are more than 1 standard deviation below the mean and approximately 16% are more than 1 standard deviation above the mean. So
The approximate percentage of SAT scores that are less than 865 is 16%.
the circle has been divided into 5 equal parts point point Tis the center of the circle.
One of the legs of a right triangle measures 4 cm and the other leg measures 19 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
A2 + B2 = C2, so 4 squared + 19 squared = C2, 16 + 361 = 377. 377's square root is 19.4.
Step-by-step explanation:
The measure of the hypotenuse is 19.4 cm.
Given that, one of the legs of a right triangle measures 4 cm and the other leg measures 19 cm.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Let the measure of the hypotenuse be x.
Using Pythagoras theorem,
x² = 4² + 19²
⇒ x² = 16 + 361
⇒ x² = 377
⇒ x = √377
⇒ x = 19.4 cm
Therefore, the measure of the hypotenuse is 19.4 cm.
To learn more about the Pythagoras theorem visit:
https://brainly.com/question/21926466.
#SPJ2
Find the exact length of the third side.
10
24
Step-by-step explanation:
10×10+24×24= third side ×third side
third side ×third side =100+576
third side × third side=676
third side=√676
third side=26
What is the percent of decrease from 1,000 to 90?
Answer:
91%
Step-by-step explanation:
Hope I helped:)
tom and ben ordered a pizza for lunch. they each ate 1/3 of the pizza. how much pizza was eaten and how much pizza was left?
Answer:
they ate 1/3 and thrte is 2/3 left
Step-by-step explanation:
subtraction
One-third of the pizza will be left
Proportions and RatiosLet the total amount of pizza eaten be "x
Amount of pizza ate by Tom is 1/3 xAmount of pizza ate by Ben is 1/3 xTotal pizza ate = x/3 + x/3
Total pizza eaten = 2x/3
Amount of pizza left = x - 2x/3
Amount of pizza left = (3x-2x)/3
Amount of pizza left = x/3
Hence one-third of the pizza will be left
Learn more on ratio and proportion here: https://brainly.com/question/21602143
PLZZZZZZZZ help me not desperate but gotta get done by today its asking this- Brian tossed a paper cup a total of 25 times and record the data below on how the cup landed.
Position of cup Open side up Closed side up Landing on side
Number of times landed in the position 3 7 15
Find the experiment probability for the following
a. Open side up:
b. Closed side up:
c. Landing on its side:
work out the surface area of this cylinder
Answer:
A=2πrh+2πr2=2·π·2·4+2·π·22≈75.39822
Step-by-step explanation:
241÷9 cevabı nedir ????
Answer:
26.7777778 or 26.78 rounded
Step-by-step explanation:
In AJKL, the measure of ZL=90°, JK = 7.3 feet, and KL = 4.7 feet. Find the measure
of ZJ to the nearest tenth of a degree.
Answer:
40.1°
Step-by-step explanation:
JK is the hypotenuse of the right triangle.
For angle J, KL is the opposite leg.
sin A = opp/hyp
sin J = 4.7/7.3
J = sin^-1 4.7/7.3
J = 40.1
Answer: 40.1°
Write answer in scientific notation
1. The velocity of a car as it travels over a level crossing is modeled by v = t2 – 4t + 12
for 0 < t < 4 where t is the time in seconds after it reaches the crossing. When does the car reach its minimum speed? What is the minimum speed?
Show your work or strategy:
When does the car reach its minimum speed? _________________
What is the minimum speed? _________________________
Answer:
At t=2s the car reach its minimum speed
Minimum speed=8m/s
Step-by-step explanation:
We are given that velocity of car
[tex]v(t)=t^2-4t+12[/tex]
0<t<4
Differentiate w.r.t t
[tex]v'(t)=2t-4[/tex]
[tex]v'(t)=0[/tex]
[tex]2t-4=0[/tex]
[tex]2t=4[/tex]
[tex]t=2[/tex]
[tex]v''(t)=2>0[/tex]
The velocity is minimum at t=2 s
Substitute t=2
[tex]v(2)=2^2-4(2)+12[/tex]
[tex]v(2)=8m/s[/tex]
Hence, the speed of car is minimum at t=2 se and minimum speed of car=8m/s
Find the area of the following figure:
[tex]2688[/tex]
Step-by-step explanation:1) Simplify 2 × 8 to 16.
[tex]16 \times 12 \times 14[/tex]
2) Simplify 12 × 16 to 192.
[tex]192 \times 14[/tex]
3) Simplify.
[tex]2688[/tex]
So, therefor, the answer is, 2688.
Estimate the solution of the equation to the nearest integer, z² = 85.
A. 7
B. 8
C. 9
D. 10
Mila has 9 buttons. Mia has 225 buttons. Mia has how many times as Mila?
Answer:
25
Step-by-step explanation:
225 divided by 9 is 25
A = {a,b, {a), c, {a,b)
kümesi veriliyor
Buna gore asagidakilerden hangisi A kümesinin alt
kümelerinden biri değildir?
A) (a)
C) (a, b)
D
E) (b)
Answer:
Step-by-step explanation:
E.......................
1/4 + 2/3 = equals what
Help pls!!! Worth 16 points!!!:)))
Answer:
18: Safe volume: s <= 115. Unsafe: s > 115.
19: 2-a, 1-b, 3-c, 4-d
20a: Justin is incorrect. 12 is a solution. 12 >= 12 is a true statement.
20b: f > 12
Step-by-step explanation:
Select the equation that has m = 34.87 as a solution.
A
m x 21 = 731.27
B
9m
323.83
m + 14 =
488.18
68 + m = 102.87
Answer:
look up
Step-by-step explanation:
write 8z + z - 5 - 9z +2 in simplest form
solve for x
35+.8x=43-7x
Answer:
x = 1.02564
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
35 + 0.8x = 43 - 7x
Step 2: Solve for x
[Addition Property of Equality] Add 7x on both sides: 35 + 7.8x = 43[Subtraction Property of Equality] Subtract 35 on both sides: 7.8x = 8[Division Property of Equality] Divide 7.8 on both sides: x = 1.02564Last Year
5. The frequency table shows the scores from rolling a dice 10 times.
Score Frequency
1 2
2 2
3 1
4 0
5 3
6 2
work out the mean
Answer:
3
Step-by-step explanation:
The computation of the mean is shown below:
= Total sum ÷ number of observations
= (1 + 2 + 2 + 2 + 3 + 1 + 4 + 0 + 5 + 3 + 6 + 2) ÷ 12
= 31 ÷ 12
= 2.58
= 2.6
= 3
Let U = {2, 3, 4, 5, 6, 7, 8}, A = {2, 3, 4, 5}, B = {2, 3, 6, 7}, and C = {4, 6, 8}. List all the members of the given set. (Enter your answers as a comma-separated list.) (A ∪ B) ∩ C
Answer:
(2,3,4,5,6,7)
6
Step-by-step explanation:
I thought I'm wrong ...
1/4 + 2/3= then times that by two
Answer
1 7/12
Step-by-step explanation:
20. A grocer sells mangos for $4 per pound and apples for $3 per pound. The grocer starts with
45 pounds of mangos and 50 pounds of apples each day. The grocer's goal is to make at
combinations of mangos and apples that could be sold to meet the goal. List two possible
combinations
Describe all possible solutions
Complete question :
A grocer sells mangos for $4 per pound and apples for $3 per pound. The grocer starts with
45 pounds of mangos and 50 pounds of apples each day. The grocer's goal is to make atleast $300 each day. What combinations of mangos and apples that could be sold to meet the goal. List two possible
combinations
Answer:
m = 45 ;a = 40
m = 45 ; a = 45
Step-by-step explanation:
Mangoes, m = $4
Apples, a = $3
Total :
45 pounds of mangoes
50 pounds of apple
4m + 3a ≥ 300
If m = 45
a = 40
4(45) + 3(40)
180 + 120 = 300
If m = 45 ; a = 45
4(45) + 3(45)
180 + 135 = 315
Hence, 2 possible combination :
m = 45 ;a = 40
m = 45 ; a = 45
For all possible solutions :
4m + 3a ≥ 300
About 20 raindrops will make one milliliter. How many raindrops would you need to fill a 3.5 liter bottle?
Answer:
Step-by-step explanation:
70
converd improper fraction into mixed fraction 3/20
Answer:
Cannot be written as a mixed number
Step-by-step explanation:
Since 3/20 is a proper fraction, it cannot be written as a mixed number.