Answer:6.3 in.
Step-by-step explanation:
Given
Radius of sphere [tex]r=4\ cm[/tex]
When ball is immersed in beaker, it causes the water to flowout of beaker which is collected in the conical vessel
Such that amount of water equivalent to sphere volume is collected in it.
volume of ball
[tex]V_s=\frac{4\pi }{3}r^3[/tex]
[tex]V_s=\frac{4\pi }{3}\times 4^3[/tex]
[tex]V_s=\frac{256\pi }{3}\ cm^3[/tex]
Now volume of water collected is in shape of cone then volume of cone
[tex]V_c=\frac{\pi }{3}r^2h[/tex]
and [tex]V_s=V_c[/tex]
[tex]\frac{256\pi }{3}=\frac{\pi }{3}(4)^2\times h\ quad [\text{h=height of cone formed}][/tex]
[tex]h=4^2=16\ cm\approx 6.29\approx 6.3\ in.[/tex]
The quadratic equation 2x^2+4x-30=0 has two solutions. one of the solutions is x=3 the other solution is?
Answer:
2x^2+4x-30=0
Step-by-step explanation:
2x^2+10x-6x-30=0
2x(x+5)-6(x+5)=0
(2x-6)(x+5)=0
2x-6=0 x+5=0
x=6/2 x=-5
x=3
Answer:
Step-by-step explanation:
[tex]2x^2+4x-30=0\\<=> x^2+2x-15=0[/tex]
so we know that the sum of the two solutions is -2 and the multiplication -15
so we are looking for x so that
x+3=-2 and 3x=-15
it gives x = -5
another way to do it is to put (x-3) in factor as we know that 3 is one of the solutions it gives
[tex]2x^2+4x-30 = 2(x-3)(x+5)[/tex]
and then the second solution is -5
Simplify the expression below and show each step. Justify the order of your steps in a brief explanation. 5-6x8diviededby8+3
Answer:
2
Step-by-step explanation:
First we have to figure out which order to solve this equation.
Following the rules of PEMDAS, we know it would be 5 - [6 x 8 ( ÷ 8 ) ] + 3.
Please tell me if you need a larger explanation on PEMDAS, or what the brackets and parenthesis mean.
Next we simplify the equation, bringing us to the answer, 2.
Once again, please tell me if you need to know how I simplified the equation.
Hope this helped :)
(-2ab+8a+8) - (7ab + 6)
Answer:
-9ab + 8a + 2
Step-by-step explanation:
Combine like terms and distribute the negative
_______________________________
Solution,
(-2ab+8a+8)-(7ab+6)
= -2ab+8a+8-7ab-6
= -2ab-7ab+8a+8-6
= -9ab+8a+2
Hope it helps..
Good luck on your assignment
__________________________
The total population of students was 380. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company Y?
Answer:
114
Step-by-step explanation:
Solve the equation using the Quadratic Formula:
x2 + 6x + 3 = 0
Answer:
x = -2[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
First we have to distinguish the numbers with x from the "normal" numbers.
2x and 6x are numbers with x.
3 and 0 are "normal" numbers.
Now we have to seperate them on different sides of the equal sign.
To do this, we can subtract 3 from the left side and then add it to 0 on the left side.
Therefore, the equation will now be 2x + 6x = -3.
Now we can add 2x and 6x together, making it 8x.
The equation will now be 8x = -3.
To find the product of x, we need to divide both sides together.
So 8 divided by -3 will make -2[tex]\frac{2}{3}[/tex].
Therefore, x is -2[tex]\frac{2}{3}[/tex].
Hope my explination makes sense :)
Is the square root of 16 + 3/4
Za and Zb are complementary angles. Za measures 22º.
What is the measure of Zb?
Answer:
b = 68
Step-by-step explanation:
Complementary angles add to 90 degrees
a+b = 90
22+b = 90
Subtract 22 from each side
b = 90-22
b = 68
Answer:
68 degrees
Step-by-step explanation:
Complementary Angles: The sum of the angles is 90 degrees.
If angle a is 22 degrees, then...
a + b = 90
22 + b = 90
22 - 22 + b = 90 - 22
b = 68
That means that the measure of angle b is 68 degrees.
I hope this helps! Have a great day!
Please help I really need this answer since I am preparing for my nationals
Will give branliest if it is correct.
Answer: [tex]\bold{a)\ \overline{CD}=6\qquad b)\ \overline{AD}=\dfrac{32}{3}\qquad c)\ \overline{AC}=\dfrac{50}{3}\qquad d)\ \overline{OB}=\dfrac{25}{3}}[/tex]
Step-by-step explanation:
a) First, use the Pythagorean Theorem to find CD:
8² + (CD)² = 10² → CD = 6
d) Next, find OB. Notice that both OB and OC are the radius of the circle.
Using the Segment Addition postulate, we know the radius (r) = CD + DO → DO = r - 6
Use the Pythagorean Theorem for ΔOBD to find OB:
(DO)² + (BD)² = (OB)²
(r - 6)² + 8² = r²
r² - 12r + 36 + 64 = r²
-12r + 100 = 0
100 = 12r
[tex]\dfrac{25}{3}\quad = r[/tex]
c) Now, find AC. Notice that AC is the diameter.
Diameter = 2r
= 2(OB)
[tex]=2\bigg(\dfrac{25}{3}\bigg)\qquad =\dfrac{50}{3}[/tex]
b) Lastly, find AD. Using the Segment Addition Postulate, we know that
AD + CD = AC → AD = AC - CD
[tex]= \dfrac{50}{3}-6\qquad \rightarrow \quad \dfrac{50}{3}-\dfrac{18}{3}\qquad =\dfrac{32}{3}[/tex]
I will give the brainiest answer
Answer:
289 units
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = πd ( d is the diameter )
Here C = 907.46 , thus
907.46 = πd ( divide both sides by π )
d = [tex]\frac{907.46}{\pi }[/tex] ≈ 289 units ( nearest whole number )
Answer:
[tex]d = 288.84 \: \: \: units[/tex]
Step-by-step explanation:
Using the formula
[tex]c = 2\pi \: r[/tex]
Solving for r
[tex]r = \frac{c}{2\pi} = \frac{907.46}{2\pi} \\ = 144.42674 \\ [/tex]
Now lets find the diameter
[tex]d = 2r \\ d = 2 \times 144.42 \\ d = 288.84 \: units[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Plz help ASAP will give brainliest if answered correctly!!
Answer:
C
Step-by-step explanation:
Multiply 5/8 by 4 in which you get 2.5 which is 5/2 and simplify, then you get answer C
3
gathered at
There were 632
animals
the river. A herd of
187 elephants and
266 zebras left the
river area. How
many animals were
still at the river?
Answer:
179
Step-by-step explanation:
The total number of animals in the river was 632.
A herd of 187 elephants and 266 zebras left the river area.
Adding them up, the total number of animals that left the river area is:
187 + 266 = 453
Therefore, the total number of animals left at the river area is the subtraction for the animals that left the river area from the number of animals that were there initially:
632 - 453 = 179
Arrange the following ratios in descending order: 2:3, 3:4, 5:6, 1:5 5:6 > 3:4 > 2:3 > 1:5 1:5 > 2:3 > 3:4 > 5:6 2:3 > 1:5> 5:6 > 3:4 5:6 >1:5 > 3:4 > 2:3
Answer:
Option A.
Step-by-step explanation:
The given ratios are 2:3, 3:4, 5:6, 1:5.
We need to arrange these ratios in descending order.
Fraction form of given ratios are
[tex]\dfrac{2}{3},\dfrac{3}{4},\dfrac{5}{6},\dfrac{1}{5}[/tex]
First find LCM of denominators.
[tex]LCM(3,4,6,5)=60[/tex]
Now, make denominator common, i.e., 60.
[tex]\dfrac{2\times 20}{3\times 20},\dfrac{3\times 15}{4\times 15},\dfrac{5\times 10}{6\times 10},\dfrac{1\times 12}{5\times 12}[/tex]
[tex]\dfrac{40}{60},\dfrac{45}{60},\dfrac{50}{60},\dfrac{12}{50}[/tex]
Now, arrange numerator in descending order.
[tex]50>45>40>12[/tex]
[tex]\Rightarrow \dfrac{50}{60}>\dfrac{45}{60}>\dfrac{40}{60}>\dfrac{12}{50}[/tex]
[tex]\Rightarrow \dfrac{5}{6}>\dfrac{3}{4}>\dfrac{2}{3}>\dfrac{1}{5}[/tex]
[tex]\Rightarrow 5:6>3:4>2:3>1:5[/tex]
Therefore, the correct option is A.
What is the problem with this statement?
If you taking geometry, then you are in the 9th grade
A. It does not assume that all students take geometry
B. It does not assume that all students are in the 9th grade
C. It assumes that no students taking geometry are in the 9th grade
D. It assumes that all students taking geometry are in the 9th grade
Please I need help with this
Answer:
D. It assumes that all students taking geometry are in the 9th grade
Step-by-step explanation:
What is the measurement of Angle J?*
Answer:
So anytime you have same sides on both legs. You will have same angles for both that are not 90 degrees. So if all angles add up to 180. 180-90 = 90. 90/2 = 45 degrees
Answer:
J = 45
Step-by-step explanation:
Since the two sides are the same, the base angles must be equal. Since it is a right triangle, the two angles share 90 degrees
90/2 = 45
Each angle is 45 degrees
J = 45
a certain Forest covers an area of 2000 square kilometers. Suppose that each year this area, decreases by 6%. What is the equation that best represents the area of the forest each year?
Find the area of parallelogram BDKJ.
Answer:
6 x 4 = 24
Step-by-step explanation:
JC = 4
BD = 6
At the start of the week, Crystal’s bank account had a balance of $280. Each day from Monday to Friday, she used her debit card to pay $5 for parking. She wrote a check for $42, and made two deposits of $75 each. She also withdrew $200 in cash at an ATM. What was Crystal’s balance at the end of the week?
Evaluate the expression below to solve the problem.
280 + 5(–5) + (–42) + 2(75) + (–200)
answer down here
$
Answer:
$163
Step-by-step explanation:
Happily, they've given us the equation already.
280 + 5(–5) + (–42) + 2(75) + (–200)
280 - 25 - 42 + 150 - 200
Keep in mind your negative signs!
280 - 67 + 150 - 200
280 - 67 - 50
213 - 50
= $163
This can all be done on the calculator, but it can also be done mentally or written out, as I've done.
Answer:
Crystal had a balance of $163 at the end of the week
Step-by-step explanation:
hope this helped pls give brainliest!
If a line has a slope of 2 and contains the point (-2,1), what is its equation in point-slope form?
A. y+ 2 = -2(x-1)
B. y-1 = 2(x-2)
C. y-2 = -2(x-1)
D. y- 1 = 2(x+2)
PLEASE HELP Three subtracted from x is less than 20
Answer:
x < 23 (x is less than 23)
Step-by-step explanation:
x - 3 < 20
x < 20 + 3
x < 23 (x is less than 23)
A thousand dollars is left in a credit union drawing 7% compounded monthly.
What is the balance at the end of 10 years?
Please show the work to answer compound interest work
Answer: $2009.66
Step-by-step explanation:
A = P(1 + r/n)^nt
The balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
A thousand dollars is left in a credit union drawing 7% compounded monthly. The balance at the end of 10 years has to be find out.
Here the data given are,
Principal amount $1000.The rate of interest is 7%.Time period is 10 years.The number of month in a year is 12.Put these values in the above formula as,
[tex]A=1000\times\left(1+\dfrac{7}{12\times100}\right)^{12\times10}\\A=2009.66[/tex]
Thus, the balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66
Learn more about the compound interest here;
https://brainly.com/question/24274034
Solve this inequality.
-5x + 7 > 42
A. x> 245
B. x < -175
C. x > 7
D. x < -7
Answer:
x < -7
Step-by-step explanation:
-5x + 7 > 42
Subtract 7 from each side
-5x + 7-7 > 42-7
-5x > 35
Divide each side by -5, remembering to flip the inequality
-5x/-5 <35/-5
x < -7
945/7 i dont know it is confused
Answer:
135
Step-by-step explanation:
We have been given the equation 945 ÷ 7. Seven goes into 9 one time. 9 minus 7 equals 2. Now drag down the four, 7 goes into 24, three times. 24 minus 21 equals 3. Drag down the five. 7 goes into 35 perfectly 5 times. Please mark me as brainliest. :)
I NEED HELP PLS IF U HAVE THE WORK PLS PUT IT PLSSSSSS!!!:)
Answer:
33. (2,7) graph's provided
34. g) it goes thru +2 on the y axis and it looks like it has a slope of -1, so -x
35. sorryyyy, i just honestly dont get it
What is the equation of the line that contains (-5,1) and has a slope of 4
PLEASE HELP
Answer:
y=4x +21
Step-by-step explanation:
A bakery uses 3/10 of a cup of flour in one batch of biscuits. The bakery uses 3/5 of a cup yesterday. how many batches of biscuits did the bakery make?
Answer: The bakery made 3 batches of biscuits.
Step-by-step explanation:
To find how many batches the bakery made set up a proportional relationship .
so if [tex]\frac{3}{10}[/tex] can make 1 batch of biscuit
is asking how many batch of biscuits can [tex]\frac{3}{5}[/tex] cup of flour make
so solve this divide 3/5 by 3/10 to find the number of batches
[tex]\frac{3}{5} /\frac{3}{10}[/tex] = [tex]\frac{30}{15 }[/tex] = 2 +1
Answer:
the bakery made 3 batches of bicuits.
3/10=0.3
3/5=0.6
if 0.3 is 1 batch then 0.6 is 2 batches 1+2=3
Using substitution to alive equation with two variables
Answer:
X=27
Step-by-step explanation:
-4•4= -16
Move -16 to the other side
3x=81
x=27
select the postulate or theorem that you can use to conclude that the triangles are similar.
Answer:
First state that two triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Let's take two triangles that are similar:
Taking two triangles:
[tex]{\triangle ABC \text{ and } \triangle PQR[/tex]
If
[tex]\angle A \displaystyle \cong \angle P[/tex]
and
[tex]\angle C \displaystyle \cong \angle R[/tex]
Then,
[tex]{\triangle ABC \sim \triangle PQR[/tex]
It is Angle-Angle (or AA) Theorem.
It says that two triangles are similar if they have two pairs of corresponding angles that are congruent.
Allie and Samuel are rock climbing
*Allie climbs 5 1/2 meters in the first 1/4 hour.
*Samual climbs 14 1/4 meters in the first 3/4 hour.
each person's rate stays the same for the first hour they climb.
Part A
Which statements are true?
Select all that are Correct.
A. Samuel climbs at a rate of 19 hours per hour
B. Allie takes 1/22 of an hour to climb one meter.
C. Allie climbs at a rate of 1/22 meter per hour
D. Samuel climbs at a rate of 1/19 meter per hour
E. Samuel takes 1/19 of an hour to climb one meter
Answer:
A and E
Step-by-step explanation: I done this before
The statements that are true are:
Allie takes 1/22 of an hour to climb one meter.
Samuel takes 1/19 of an hour to climb one meter.
Options B and E are correct.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numberator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
For Allie.
She climbs 5(1/2) meters in 1/4 hour.
This means,
11/2 meters = 1/4 hour
22 meters = one hour
Rate = 22 meters per hour.
We can also say,
To climb one meter, she takes 1/22 of an hour.
For Samuel.
He climbs 14(1/4) meters in 3/4 hour,
This means,
57/4 meters = 3/4 hour
19 meters = one hour
Rate = 19 meters per hour.
We can also say,
To climb one meter, he takes 1/19 of an hour.
Thus,
Allie takes 1/22 of an hour to climb one meter is true.
Samuel takes 1/19 of an hour to climb one meter is true.
Learn more about fractions here:
https://brainly.com/question/24370499
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Help please.....anyone
Answer:
200 dollars
Step-by-step explanation:
which is lighter 900000g or 9 tonnes
900000g coz 9 tonnes is like 9000000g
Answer:
900000gm is lighter than 9 tonnes
Step-by-step explanation:
907185 = 1 ton
907185 x 9 = 8164665
You underline how many digits = 7 and see that 900000gm has only 6 digits.
