Find the volume of this prism.
9 cm
12 cm
6 cm
PLEASE HELP
Answer:
324cm³
Step-by-step explanation:
Volume of a triangular prism = (height x width x base length) / 2
We are given:
Height = 9cm Base length = 6cmWidth = 12cmIf we plug this into the formula we get (9 x 6 x 12) / 2
==> multiply numbers in parenthesis
volume = 648/2
==> simplify division
volume = 324cm³
What is the easiest way to do the distributive property
Will give brainiest to the person who shows how to do the problems step by step (proportionally) and those with the correct answer
Questions (below the pictures):
Answer:
15. 1.125 hours = 1 hour 7 minutes 30 seconds
17. 3840 cal
18. 60 g
Step-by-step explanation:
15.
8 miles is to 3 hours as 3 miles is to x hours
8/3 = 3/x
8x = 3 * 3
8x = 9
x = 1.125
Answer: 1.125 hours = 1 hour 7 minutes 30 seconds
17.
1/2 avocado is to 160 cal as 12 avocados are to x cal
(1/2)/160 = 12/x
(1/2)x = 12 * 160
x = 24 * 160
x = 3840
Answer: 3840 cal
18.
We need the same units. We convert 2 1/2 cups into tablespoons.
1 cup = 16 tablespoons
2 1/2 cups = 2 1/2 * 16 tablespoons = 2.5 * 16 tablespoons = 40 tablespoons
Now we start the proportion.
1.5 g to 1 Tbsp is as x is to 40 Tbsp
1.5/1 = x/40
x/40 = 1.5
x = 1.5 * 40
x = 60
Answer: 60 g
What is a decimal that is equivalent to the fraction 6/10
Answer:
0.60 or 0.6
Step-by-step explanation:
To convert you devide the two 6/10 is 0.6
0.6 is a decimal that is equivalent to the fraction 6/10
What is Number system?A number system is defined as a system of writing to express numbers.
A fraction represents a part of a whole.
The given fraction is 6/10.
The fraction is six by ten
In the given fraction is six and denominator is ten.
We need to convert 6/10 to the decimal which is equivalent.
10 is the divisor and 6 is the dividend.
6/10=0.60
Six by ten equal to zero point six
Hence, 0.6 is a decimal that is equivalent to the fraction 6/10
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
Lainey bought a set of 202020 markers for \$6$6dollar sign, 6.
What is the cost of 111 marker?
Answer:
$666
Step-by-step explanation:
6*111
= 666
Answer:
6
Step-by-step explanation:
YES
Multiply
(x^2+4x+3)(2x^2+3-4)
cos 2 * (x/2) = (sec(x) + 1)/(2sec(x))
Answer:
Answer below
Step-by-step explanation:
I really hope it works
|2n|-4=8 solve for n
Answer:
n = ± 6
Step-by-step explanation:
absolute value equations usually produce 2 solutions
to get the positive solution just solve normally: 2n - 4 = 8
2n = 12
n = 6
to get the negative solution you must take what is in the absolute value bars and multiply by negative one: -(2n) - 4 = 8
-2n - 4 = 8
-2n = 12
n = -6
The probability that a baby will be a boy is 1/2. What is the probability that a family with five children has all boys
Answer:
1/10
Step-by-step explanation:
;)
2. How far is the bird from the worm? Round to the nearest whole number if necessary. (TEKS
8.7C-R)
A 60 ft
B 50 ft
50 ft
C 55 ft
D 61 ft
35 ft
i need help with this question
Answer:
error occurred in Step 1 because 2/3 and 1/4 should have been multiplied instead of added; so answer would be x^1/6
Step-by-step explanation:
I need help! ASAP please!
Answer:
60 f+80=287
Step-by-step explanation:
y - 2x =3 Solve for Y
Answer:Add x to both sides of the equation.y=3+2x
Step-by-step explanation:
could y be 9 im lost
lead has a density of 11.35g/cm'3. a lead ball weighs about 2kg. what is the radius of this ball
Answer:
The radius of the ball is 3.48 cm
Step-by-step explanation:
Density
The density of a substance is the mass per unit volume. The density varies with temperature and pressure.
The formula to calculate the density of a substance of mass (m) and volume (V) is:
[tex]\displaystyle \rho=\frac{m}{V}[/tex]
The density of lead is \rho=11.35\ g/cm^3 and the mass of a ball of lead is m=2 kg=2,000 g. We can calculate the volume by solving for V:
[tex]\displaystyle V=\frac{m}{\rho}[/tex]
[tex]\displaystyle V=\frac{2000\ g}{11.35\ g/cm^3}[/tex]
[tex]V=176.2115\ cm^3[/tex]
Since the shape of the object is a sphere, and the volume of a sphere of radius r is:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
We can solve for r and obtain:
[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]
Substituting:
[tex]\displaystyle r=\sqrt[3]{\frac{3*176.2115}{4\pi}}[/tex]
[tex]\displaystyle r=\sqrt[3]{42.0674}[/tex]
[tex]\boxed{r=3.48\ cm}[/tex]
The radius of the ball is 3.48 cm
Point N is on line segment ABGiven AN = 14 and NB =21. Determine the length of the line AB.
Write and solve a proportion to answer the question.
42 is what percent of 80?
42
р
100
80
p= %
Answer:
the ans. is 52.5 percent
can someone solve this please
it is solving equations in algebra: x-6=4
Assume that no variable equals 0
1. c^12•c^-4•c^6
2. b^8/b^2
3. (a^4)^5
4. x^-2y/x^4y^-1
5. (a^2b/a^-3b^2)^-1
6. (x^2y/xy^3)^2
7. 1/2(-5a^2b^3)^2(abc)^2
8. m^7•m^8
9. 8m^3n^2/4mn^3
10. 2^3c^4t^2/2^2c^4t^2
help me please !
Step-by-step explanation:
When you multiply exponents of the same base (variable), add the exponents.
1. The exponents are 12 - 4 + 6 = 14 or c^14
When you divide exponents of the same base, subtract them.
2. 8 - 2 = 6 or c^6
When you raise a power to a power, you multiply the exponents.
3. 4 * 5 = 20 or c^20
When a number is raised to a negative exponent it can be re written like this x^-n = 1/x^n.
4. x^-2 * y / x^4 * y^-1; using the above information, rewrite everything to have positive exponents. If the negative exponent is in the denominator, then it becomes x^n/1
y * y / x^2 * x^4 ; then just add your exponents to simplify
y^2 / x^6
As we said before, a power raised to a power is exponent x exponent.
5. (a^2 * b) ^-1 / (a^-3 * b^2)^-1 ; as before a power raised to a power, multiply the powers.
a^-2 * b-1 / a^3 * b^-2 rewrite this as before, inverting negative exponents. a^3 / a^2 * b^1 * b^2 = a^3 / a^2 * b^3
Simolifynthe new expression to reduce the a variable by subtracting the bottom a^2 from the top a^3 and are left with
a / b^3
Work number 6 like 5, no negative exponents, so there won't be any inversions. Just multiply the outside power times every exponent, then do the division by subtracting exponents of like bases.
When figuring out the problems with constants, treat them like the variables. In number 7 the 5a^2 when raised to the 2nd power would be 5^2*(a^2)^2 = 25 a^4
Im sorry, out of time.
Arya deals in clothing and accessories. She bought 10 shirts at a wholesale price of 1120 each and sold them
all at a profit of 40 percent.
What was the price Arya charged for the 10 shirts?
Answer:
15680
Step-by-step explanation:
Cost of 1 shirt: 1120
Cost of 10 shirts: 11200
Add 40% to the cost of 10 shirts:
40% + 100% = 140% = 1.4
1.4 * $11200 = 15680
Answer: 15680
What is the difference between the mean of the population and the mean of the sample? 0.24 0.36 2.40 2.64
Answer: 0.24
Step-by-step explanation:
Answer:
0.24
Step-by-step explanation:
i took the test i got it right!
A theater is selling tickets for a performance. Mr. Smith purchased 8 senior tickets and 5 child tickets for $136 for his friends and family. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96. What is the price of each ticket?
Answer:
for the seniors, the answer is $12, and for the children, the answer is 8.
Step-by-step explanation:
Solution of this system of equations. (Write it as a point)
The rainfall amount last year was 6 inches below normal. The rainfall this year was 13 inches more than last year. What is the difference between the rainfall amount this year and the normal amount of rainfall? (Hint: Draw a number line to help you visualize the scenario)
Answer:
7
Step-by-step explanation:
The term difference means to subtract. Therefore, 13in - 6in, is equal to 7 inches.
13-6=7
Hope this Helps!!!
Please help me with this question?
Can someone explain the process of getting to Angle A? I know the answer is 44.1 but I need to show my work so can someone show me the process of getting the answer and please explain! Thank you!!
Answer:
Step-by-step explanation:
First you have to calculate CB in order to use sin law to calculate ∠A
CB=[tex]\sqrt{18.4^{2} -13.2^{2} }[/tex]
CB=12.8(correct to nearest tenth)
After that, use sin law to calculate ∠A,
[tex]\frac{18.4}{sin90} =\frac{12.8}{sinA}[/tex] or [tex]\frac{sin90}{18.4} =\frac{sinA}{12.8}[/tex]
sinA=0.695...
A=44.079...
=44.1(corrext to the nearest tenth)
Is that clear enough for you?
Suppose a city with a population of 200,000 has been growing at a rate of 3% per year. If this rate continues, find the population of this city in 21 years. Round to the nearest whole number as needed (1 point)
Answer:
Growing at a rate of 3% per year : 200,000 x 3% = 6,000 population/ year
The population of this city in 21 years : 200,000 + ( 6,000 x 21 ) = 326,000 p
Step-by-step explanation:
The population of the city after 21 years is given by the exponential equation A = 372,059
What is exponential growth factor?The exponential growth rate is the value which increases exponentially over a period of time and
x ( t ) = x₀ ( 1 + r )ⁿ
x ( t ) is the growth at time t
x₀ is the initial value growth at time t = 0.
r is the growth rate expressed as percentage when r > 0
And , the decay rate when r < 0 , in percentage
t is the time in discrete intervals and selected time units
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
Let the initial population of the city be x₀ = 200,000
Now , let the number of years be n = 21 years
Let the percentage of increase be r = 3 %
And , exponential growth formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( 21 ) = 200,000 ( 1 + 0.03 )²¹
On simplifying the equation , we get
x ( 21 ) = 200,00 ( 1.03 )²¹
x ( 21 ) = 200,000 ( 1.86029457 )
On further simplification , we get
x ( 21 ) = 3,72,058.914
On rounding the population , we get
x ( 21 ) = 372,059
Therefore , the value of A is 372,059
Hence , the exponential growth of the population after 21 years is 372,059
To learn more about exponential growth factor click :
https://brainly.com/question/13674608
#SPJ2
Alice gets a job selling boots, and is given the option of wages plus commission, or commission only. In the first option, she would earn $33 in wages for each day of work, plus $2.50 for every pair of boots sold. Under the commission only option, she would earn no wages, and $3.25 for every pair of boots sold. How many pairs of boots would Alice have to sell in one day to make the two options equal?
Answer:
44 pairs of boots
Step-by-step explanation:
As per two options given to Alice,
1). Wages of $33 for each day work + commission of $2.5 for every pair sold.
If Alice sells x pairs of boots in a day, then total amount earned by Alice,
= (33 + 2.5x)
2). Commission of $3.25 for every boot sold.
If Alice sold x pairs of boots, total earnings of the day = 3.25x
If earning of Alice is equal in both the plans,
(33 + 2.5x) = 3.25x
3.25x - 2.5x = 33
0.75x = 33
x = 44
Therefore, for the sales of 44 pairs of the boots Alice will earn equal by both the plans.
Solve this question for BRAINLIEST!
Answer:
3x+1
Step-by-step explanation:
Find the missing side length
Alma wrote a phone app. She has noticed that 3\%3%3, percent of the users who download her app upgrade it the same day. Let NNN be the number of customers who download Alma's app until one upgrades it on the same day. Assume that the probability of each user's upgrades are independent. What type of variable is NNN?
Answer:
Geometric
Step-by-step explanation:
A geometric setting does not have a set number of trials, and the variable in question is the number of trials it takes to get the first success.
The upgrades are independent, and the probability of the customer upgrading is the same each time.
The type of variable NNN is Geometric
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
We are given that Alma wrote a phone app. She has noticed that 3%, percent of the users who download her app upgrade it the same day.
Let N be the number of customers who download Alma's app until one upgrades it on the same day.
A geometric does not have a set number of trials, and the variable in question is the number of trials it takes to get the first success.
The upgrades are independent, and the probability of the customer upgrading is the same every time.
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ2