Given :
A cuboid shaped tank with sides 3.2 cm , 2.8 cm and 1.6 cm.
To Find :
The volume of the tank.
Solution :
We know, volume of a cuboid is given by product of its sides or :
[tex]V = l\times b \times h\\\\V = 3.2 \times 2.8 \times 1.6 \ cm^3\\\\V = 14.336 \ cm^3[/tex]
Therefore, the volume of the tank is 14.336 cm³ .
Which graph represents equation (x-4)^2+(y+2)=16
F
H
G
I
Why is this? Recall that (x-h)^2+(y-k)^2 = r^2 is the general template of a circle. The center being (h,k) and the radius is r.
For the equation (x-4)^2+(y+2)^2 = 16, we have a center of (4,-2) and radius 4. Note that 4^2 = 16.
The graph of choice G shows these properties so that's why it's the answer. Keep in mind that each tickmark represents 2 units. Choice I is close since the center is correct but the radius is too small.
In a group of 120 recruits at the police academy 80 are college graduates and 25 are army veterans. If 15 of the recruits are both college graduate and army veterans as shown above, how many are neither college graduate nor army veterans?
Answer:
the number of recruits neither be college graduate and nor army veterans is 30
Step-by-step explanation:
The computation of the number of recruits neither be college graduate and nor army veterans is as follows;
= Total recruits - (college students + army veterans - both college graduates & army veterans)
= 120 recruits - (80 + 25 - 15)
= 120 recruits - 90
= 30
hence, the number of recruits neither be college graduate and nor army veterans is 30
Lee took 10 pictures with a camera and 2 of them were pictures of airplanes.
What percent of the pictures that Lee took were pictures of airplanes?
Answer:
20%.
Step-by-step explanation:
100/20 is 20%, but so is 10/2 because it is the same, but simplified.
help me plsssssssssssss
Answer:
do you still need help
Step-by-step explanation:
???
PLS HELP
What is the value of x ?
A. 42
B. 43
C. 84
D. 86
Answer:
B
Step-by-step explanation:
x+x+94 = 180 (sum of angle of triangle)
2x+94 = 180
2x = 180-94
2x = 86
x = 86÷2
Therefore x = 43
Solve for X. rx-s = t
Answer: x=t/r+s/r
How to: Isolate the variable by dividing each side by factors that don't contain the variable.
Have a great day and stay safe !
Answer:
[tex]solve \: \: for \: \: x \\ rx - s = t \\ rx = t + s \\ x = \frac{t + s}{r} [/tex]
A pie chart is being made with four sectors. Each sector will be a certain percentage of the total area. The table below shows the size of each sector as a percentage of the total area. Sector 1 = 5%
Sector 2 =30%
Sector 3 = 50%
Sector 4 = 15%
What will be the measure of the central angle of sector 4?
A. 27°
B. 54°
C. 5.4°
D. 57°
Answer:
B. 54°
Step-by-step explanation:
There are 360° in a circle and sector 4 consists of 15% of it.
We just have to multiply the 2 numbers.
15% = 0.15
0.15(360) = 54
Solve for x. Round to the nearest tenth of a degree, if necessary
Answer:
39
Step-by-step explanation:
sin^-1(x)= 39/62
x= 38.97
x=39
i need a job please help lol
Answer:
just say something inspiring and formal
PLEASEEEE help I will give you BRAINLEST
Answer:
y=2x+3
Step-by-step explanation:
In the figure below, what is the measurement of GH ?
Answer:
C. 4
Step-by-step explanation:
first off, we know we need the value of HJ to solve for GH. Luckily for us HJ is congruent to JK, and we have the values to solve for that using pythagorean theorum.
4^2 + JK^2 = 5^2
16 + JK^2 = 25
JK^2 = 9
JK = 3
now we can solve for GH
3^2 + GH^2 = 5^2
9 + GH^2 = 25
GH^2 = 16
GH = 4
PLEASE ANSWER CORRECTLY NO WRONG ANSWERS I BEG! 90 POINTS HERE Here is a histogram that shows some dog weights in pounds. Refer to the histogram too.
Use the histogram to answer the following questions.
How many dogs weigh at least 100 pounds?
How many dogs weigh exactly 70 pounds?
How many dogs weigh at least 120 and less than 160 pounds?
How much does the heaviest dog at the show weigh?
What would you consider a typical weight for a dog at this dog show? Explain your reasoning.
Discuss with a partner:
If you used the dot plot to answer the same five questions you just answered, how would your answers be different?
How are the histogram and the dot plot alike? How are they different?
Answer:
Exactly 22 dogs weigh at least 100 pounds
Exactly 6 dogs weigh 70 pounds
Exactly 9 dogs weigh at least 120 and less than 160 pounds
The heaviest dog at the show weighs 170 pounds
At this dog show a typical weight for a dog would be around 100 - 120
A secretary works a 35-hour week for which she is paid $262.50. If in a particular week she works 6 hours overtime on Saturdays which is paid for at time - and - a - half and 4 hours overtime on Sunday which is paid for a double time. calculate her gross wage for that week
no links please
Answer:
$390
Step-by-step explanation:
262.50/35 = 7.5 per hour during normal week
Saturdays 11.25 per hour
Sundays 15 per hour
6x11.25 = 67.5
4x15=60
262.50 +67.5 +60 = 390
This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Grade
A
B
с
DF
Frequency 5
10
15
3
2
Find the probability that a student earns a
grade of B.
p = [?]
Enter a decimal rounded to the nearest hundredth.
Answer:
0.29
Step-by-step explanation:
Total grade frequency = (5 + 10 + 15 + 3 + 2) = 35
Frequency of grade B = 10
Probability = required outcome / Total possible outcomes
Required outcome = frequency of grade B = 10
Total possible outcomes = total grade frequency = 35
P(B) = 10 / 35
P(B) = 0.2857
P(B) = 0.29
25/24 as a decimal and round it to the nearest hundredth
Answer:
1.04
Step-by-step explanation:
25/24=1.04166667
round: 1.04
Someone that can help ?!?!
Answer:
D
Step-by-step explanation:
just by my experience and the look of it, but its super easy to put these in "MathPapa Algebra Calculator", and check. I use it for everything!
True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.
Hi there!
[tex]\large\boxed{\text{False.}}[/tex]
f(x) = 2(1/5)ˣ
Recall the form of an exponential function:
f(x) = a(b)ˣ where:
a = initial value
b = rate of decay/growth
If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.
1/5 < 1, so the function is undergoing exponential decay, not growth.
agregenme o baneo la preguntta
Answer:
translate; Assault me or ban the question
Step-by-step explanation:
9c+1 = 10
What is c?
Answer:
c=1
Step-by-step explanation:
9c+1 = 10
Subtract 1 from each side
9c+1-1=10-1
9c = 9
Divide by 9
9c/9 = 9/9
c = 1
Choose the product of (3x2 + 7)(6x2 – 4x + 5).
A. 63x2 – 28x + 35
B. 9x4 – 7x3 + 51x2 – 11x + 12
C. 18x4 – 12x3 + 42x2 – 28x + 35
D. 18x4 – 12x3 + 57x2 – 28x + 35
Adam wants to compare the fractions and He wants to order them from least to greatest and rewrite them so they all have the same denominator. Explain how Adam can rewrite the fractions.
Answer:
[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]
Step-by-step explanation:
Given
The fractions are:
[tex]\frac{3}{12},\ \frac{1}{6},\ \frac{1}{3}[/tex]
Required
How the fractions can be rewritten
The fractions can be rewritten by taking the LCM of the denominators.
The [tex]LCM[/tex] of [tex]12; 6\ and\ 3[/tex] is [tex]12[/tex]
So, we have:
[tex]\frac{3}{12},\ \frac{2*1}{12},\ \frac{4*1}{12}[/tex]
Simplify the numerators
[tex]\frac{3}{12},\ \frac{2}{12},\ \frac{4}{12}[/tex]
Now, the fractions can be ordered based on the numerators
[tex]\frac{2}{12},\ \frac{3}{12},\ \frac{4}{12}[/tex]
Return to original form
[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]
Janet uses 2 cups of strawberries to make 4 cups of strawberry jam. How many cups of strawberries are required to make 10 cups of strawberry jam?
The function f(x) is graphed below. what is f(1)?
Answer:
f(1) = - 3
Step-by-step explanation:
Locate x = 1 on the x - axis, then go vertically down to (1, - 3 ) , then
f(1) = - 3
Solve for x: 3(x - 2) = -9
1. 1
2. -1
3. - 7/3
4. 3/7
Answer:
2) -1
Step-by-step explanation:
Answer:
the answer is 2. -1...............
2. Liam and Sam shared a chocolate bar Liam ate 3/5
and Sam ate 4/ 10 Who ate more? How much
more?
A Stats test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get exactly 2 questions correct
Answer:
0.0512
Step-by-step explanation:
Probability of making a correct guess ; p = 1 / 5 = 0.2
q = 1 - p = 1 - 0.2 = 0.8
Number of questions, n = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 3) = 5C3 * 0.2^3 * 0.8^2
P(x = 3) = 0.0512
Find the volume of a sphere that has a radius of 6 in
Answer:
volume = 904.78 cubic inch
Step-by-step explanation:
[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 6 \times 6 \times 6 = 904.78in^3[/tex]
Answer:
904,32 in³
Step-by-step explanation:
The formula for finding the volume of a sphere with given radius is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
You simply substitute r³ with 6³:
[tex]V=\frac{4}{3} \pi 6^3[/tex]
Now you multiply 4/3 * 3,14 (pi) * 216 = 904,32 in³
Write an inequality for the graph below.
DO NOT PUT A LINK!
Answer:
y=1/4x+1
i think
Step-by-step explanation:
Question 38
Two cuboids are congruent. Which statement about their properties
a.Each face has the same area
b.One is larger than the other
c.They have the same volume
d.The sum of the angles is 360°
A manager at a shipping company will purchase boxes in the shape of right rectangular prisms. He wants the volume of each box to be exactly 98 cubic feet. Which figure shows a box with the dimensions, in feet (ft), that the manager will purchase?
You have 4 options... which one do you think is correct
winner gets brainlest!! along with 50 points
Answer:
the first one
Step-by-step explanation:
To find the answer we want to find the volume of each rectangular prism
Which ever prism has an exact volume of 98 is the correct answer
( note that volume of a rectangular prism = length times width times height )
For the first answer choice
4 * 3.5 * 7 = 98
We get an outcome of 98, which means that the first one could possibly be the correct answer however lets find the volume of the rest of the prisms just to be safe.
For the second one
6.25 * 7 * 2 = 87.5
87.5 ≠ 98 therefore the second choice is not correct
For the third one
3 * 6.5 * 5 = 97.5
97.5 ≠ 98 therefore the third choice is not correct
For the fourth one
7.5 * 1 * 14 = 105
105 ≠ 98 therefore the fourth choice is not correct
So we can conclude that the first answer choice is correct