Answer:
The height of this cylinder = 9.55 ins
Step-by-step explanation:
Volume cylinder = pi * r² * h = 30 ins
r=1
pi * r² * h = 30
pi * 1² * h = 30 ins
h = 30/pi
h = 9.55 ins
The area of a rectangle is 42 square inches
and one side is 12 inches long. Find the perimeter of the rectangle.
Answer:
The perimeter is 31 inches
Step-by-step explanation:
The perimeter is the sum of all the sides.
The formula for the area of the rectangle is : [tex]length*width[/tex]
To work this out you would first need to divide the area of 42 by the length of 12, this gives you 3.5. This is because the formula for the area of a rectangle is length multiplied by the width, and so by dividing the area by 12 we are working out the perimeter of the missing side.
Now that we know the lengths of both sides we can begin working out the perimeter. You can do this by multiplying the lengths by 2. Multiply 12 by 2,which gives you 24. Multiply 3.5 by 2, which gives you 7.
The final step in calculating the perimeter would be to add the values of 24 and 7, this gives you 31. This is because the perimeter is sum of all of the lengths of a shape.
1) Divide 42 by 12.
[tex]42/12=3.5[/tex]
2) Multiply 12 by 2.
[tex]12*2=24[/tex]
3) Multiply 3.5 by 2.
[tex]3.5*2=7[/tex]
4) Add 7 and 24.
[tex]24+7=31[/tex]
Find the 90th term of the arithmetic sequence 16 , 21 , 26
Answer:
The 90th term of the arithmetic sequence is 461.
Step-by-step explanation:
Arithmetic sequences concepts:
The general rule of an arithmetic sequence is the following:
[tex]a_{n+1} = a_{n} + d[/tex]
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
[tex]a_{n} = a_{1} + (n-1)*d[/tex]
In this question:
[tex]a_{1} = 16, d = 21 - 16 = 26 - 21 = 5[/tex]
So
90th term
[tex]a_{90} = a_{1} + (90-1)*d[/tex]
[tex]a_{90} = 16 + 89*5[/tex]
[tex]a_{90} = 461[/tex]
The 90th term of the arithmetic sequence is 461.
Which rule describes the relationship between the x- and y- coordinates on line m?
Choose one answer:
A) y = x + 1
B) y = 2x + 1
Answer: My bad I don’t know how to teach it but it’s B
The triangles are similar.
What is the value of x?
Answer:
x = 16
Step-by-step explanation:
We can use ratios to solve
12 x
--------- = ----------
3 4
Using cross products
12*4 = 3x
Divide each side by 3
48/3 = 3x/3
16 =x
which equation can be used to solve for c?
Answer:
The second option
Step-by-step explanation:
cos35=5/c
5/c=cos35/1
cos35(c)=5
c=5/cos35
Therefore, the second option.
I hope this helped and have a good rest of your day!
Lilly saw a jellyfish at 6 feet below sea level.She saw a bright blue fish at 10 feet below sea level. What is the distance between the blue fish and the jellyfish
Answer:
Step-by-step explanation:
4 feet
Answer:
It would be 4 feet because 6-10 is 4 its really easy
Step-by-step explanation:
I hope i helped?
what's 4.54 rounded to the nearest tenth?
Answer:
4.5
Step-by-step explanation:
have a nice day :)
Answer:
4.5
Step-by-step explanation:
when rounding, if the previous number is over 5 you round up or if it's under 5, you stay the same. the tenths spot is the first after the decimal and the next number 4 so you would stay the same.
What is the equation of the line through (2, -4) and (0, 4)
Answer:
Step-by-step explanation:
(4+4)/(0-2)= 8/-2 = -4
y + 4 = -4(x - 2)
y + 4 = -4x + 8
y = -4x + 4
Answer:
y = -4x + 4
Step-by-step explanation:
took this on A P E X, hope it helps
Factor the trinomial:
5x2 + 7x + 2
Look at the attached picture
Hope it will be helpful to you.
Answer as soon as you see this. I need lots of help
Answer:
GFD = 132.7
Step-by-step explanation:
JIF and GFD are same side interior angles and when the lines are parallel, same side interior angles are equal
JIF = 132.7 so GFD = 132.7
In the diagram shown, we are given that JIF and GFD are parallel lines. However, these lines are also same side interior angles. This means that they will be equal to each other since they are parallel lines. Remember, parallel lines are coplanar lines that do not intersect.
So if JIF = 132.7°, then GFD also measures 132.7°.
100 points. Easy question.
Topic: Adding and Subtracting fractions.
ONLY DO QUESTION 8 NOT 9 AND 10
Answer:
17 1/8 km
Step-by-step explanation:
6 7/8 + 5 1/2 + 4 3/4
The common denominator is 8
6 7/8 already has a denominator of 8
5 1/2 = 5 1/2*4/4 = 5 4/8
4 3/4 *2/2 = 4 6/8
6 7/8 + 5 4/8 + 4 6/8
15 17/8
15 + 8/8+ 8/8+1/8
15 + 1 + 1 + 1/8
17 1/8
Answer:
[tex]\boxed{17\frac{1}{8} \ \sf{km}}[/tex]
Step-by-step explanation:
6 7/8 + 5 1/2 + 4 3/4
Turn to improper fractions.
55/8 + 11/2 + 19/4
Make denominator equal by LCM.
55/8 + 44/8 + 38/8
Add fractions because they have same denominators.
137/8
Turn to mixed fraction.
17 × 8 = 136 + 1
17 1/8
An equilateral triangle has a perimeter of 12 x + 18 units. Which expression can be used to show the length of one side of the triangle?
6 (2 x + 3): Each side length is 2 x + 3 units.
3 (4 x + 6): Each side length is 4 x + 6 units.
2 (6 x + 9): Each side length is 6 x + 9 units.
x (12 + 18): Each side length is 12 + 18 units.
Answer:
3 (4 x + 6): Each side length is 4 x + 6 units.
Step-by-step explanation:
Perimeter of equilateral triangle = 12x + 18 = 3(4x + 6) units
Answer:
B
Step-by-step explanation:
An equilateral triangle has a perimeter of 12 x + 18 units. Which expression can be used to show the length of one side of the triangle?
6 (2 x + 3): Each side length is 2 x + 3 units.
✔3 (4 x + 6): Each side length is 4 x + 6 units.
2 (6 x + 9): Each side length is 6 x + 9 units.
x (12 + 18): Each side length is 12 + 18 units.
help please, give me the best possible answer you guys got
:)
Answer:
(i) (4, 0)
(ii) -2
Step-by-step explanation:
y = 4 + 3x - x^2
(i)
At point A, y = 0
4 + 3x - x^2 = 0
x^2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x - 4 = 0 or x + 1 = 0
x = 4 or x = -1
The x-coordinate of point A is positive, so it is 4.
The coordinates of point A are (4, 0).
(ii)
y = mx + 8
We know point (4, 0) is on the line, so we substitute 4 for x and 0 for y and solve for m in the slope equation.
0 = m(4) + 8
4m = -8
m = -2
Kobe’s birthday is in July and it is always hot. This year, he wants to have popsicles as a cool snack. If Kobe expects 90 people to be at the party, does it make more sense to buy 100 pack of popsicles or multiple 16-packs?
Answer:
100 pack
Step-by-step explanation:
Well first just calculate the cost. 16 * 6 = 96
1.75 * 6 = 10.5
100 popsicles is cheaper.
What is the lcm of 3,8
Answer: 24
Step-by-step explanation: The LCM of 3 and 8 is 24.
3 6 9 12 15 `18 21 24
8 16 24
The circumference of a circular field is 163.28 yards. What is the radius of the field? Use 3.14 for π and do not round your answer.
Answer:
r = 26
Step-by-step explanation:
C = 2 π r
163.28 = 2 (3.14) (r)
163.28 / 2 / 3.14
26 = r
Answer:
26 yards
Step-by-step explanation:
2πr=163.28
2×3.14×r=163.28
r=163.28÷6.28=26 yards
Real World Problems with Rational Numbers
26
Directions: Drag each point to the correct location on the number line.
Jean climbed 3 of the distance to the top of the cliff as shown on the number line. Terry climbed 3 of the distance less than Jean.
Steve climbed 5 of the distance more than Jean. Drag the points to the correct locations on the number line.
Terry
Steve
1
Answer:
aiaavaobsoavvdiabajiaveoaveugwviaoqjavdjoagw
Which of the following relations describes a function?
A.
{ (3, -1), (3, 1), (4, -1), (4, 1) }
B.
{ (-3, -4), (-4, -3), (3, 4), (4, 3) }
C.
{ (3, 3), (3, 4), (4, 3), (4, 4) }
D.
{ (0, 0), (0, 3), (3, 0), (3, 3) }
Answer:
B
Step-by-step explanation:
3. A publisher printed 30,000 copies of an edition of a book. Each copy of the book cost the publisher 45Gp to produce and it is sold to the public for 76Gp. The publisher agrees to pay the author 10% of the selling price of the first 6000 copies sold, and 12% of the selling price for all copies sold in excess of 6000. Altogether 25,300 copies of the book are sold. Calculate, correct to the pesewa: I) the total amount received by the author
Answer:
The total amount received by the author is of 221,616Gp.
Step-by-step explanation:
25,300 copies sold.
For the first 6000, he receives 10% of the selling price of 76 Gp.
For those in excess of 6000, that is, the next 25300 - 6000 = 19300, he receives 12% of the selling price of 76 Gp.
Total amount received by the author:
6000*0.1*76 + 19300*0.12*76 = 221,616
The total amount received by the author is of 221,616Gp.
What is the quadratic regression equation that fits these data?
x. y
-4 35
-3 20
-2 12
-1 6
0 2
1 6
2 10
3 24
4 38
Answer:
y = 2.09x2 + 0.33x + 3.06
Step-by-step explanation:
just did the T3ST :)
The equation that represents the quadratic regression is y = 3.06 + 0.33x + 2.09x².
To find the quadratic regression equation that fits these data:
First, we determined the following values,
mean of x = 0
mean of y = 17
the correlation coefficient r = 0.9960376489
The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, r stands for the coefficient.
A = 3.060606061
B = 0.3333333333
C = 2.090909091
And the quadratic regression can be modeled by the Quadratic regression: y=A+Bx+Cx².
Therefore, the equation is y = 3.06 + 0.33x + 2.09x².
To learn more about the correlation coefficient;
https://brainly.com/question/15577278
#SPJ7
Find F(-2)
F(x)=5^x
A=1/25
B=1/10
C=-10
D=-25
i need help with this questions can someone please help me
Answer:
pupil question:
3 6 1
3 have brothers
6 have both
1 has sisters
Step-by-step explanation:
3+6+1+2=12
Need help ASAP. WILL MARK BRAINLIEST
Answer:it is b2 I took the test
Step-by-step explanation:
Now mark me braunliest
Which of the ordered pairs is
4x – 1= 3y + 5
ANSWER IS ONE THE SHEET
hope this help
What is the speed of a wave with a frequency of 2 Hz and a wavelength of 87 m
Answer:
174 m/s
Step-by-step explanation:
Formula: velocity = frequency x wavelength
V = 2 x 87
V = 174
Hope that helps!
Answer:
174
Step-by-step explanation:
Did the test
During a period of 30 seconds, a scuba diver changed her depth by –150 feet. Determine the average change in depth per second.
Answer:
I think it might be five feet
Step-by-step explanation:
I'm smart<3
The average change in depth is 5 feet/ second.
It is required to find the average change in depth per second.
What is slope?Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given:
[tex](x_{1} ,y_{1} )=(0,0)\\\\(x_{2} ,y_{2} )=(30,150)\\\\[/tex]
Scuba diver's rate of change
[tex]m=\frac{150-0}{30-0} \\\\m=5[/tex]feet/sec.
Therefore, the average change in depth is 5 feet/ second.
Learn more about slope here:
https://brainly.com/question/16476489
#SPJ2
If a population of a certain type of animal has a mean of 44cm and a standard deviation of 3 cm what is the z-score for a member of the population witha height of 38cm
Answer:
The z-score is -2
Step-by-step explanation:
Here, we are asked to calculate the z-score of the height.
Mathematically, we can calculate z-score by using the formula below;
z-score = (x-mean)/SD
According to this question, mean = 44cm and SD = 3cm with x here = 38cm
Plugging these values into the z-score equation, we have
z-score = (38-44)/3 = -6/3 = -2
A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
How many trays does he need?
Answer:
A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
Then he would need 180/30 = 6 trays.
Hope this helps!
:)
Suzanne folded 12 towels. If Allison folded 4 times as many towels as Suzanne, which number sentence shows how many towels Allison folded? A. 12 × 12 = 144 B. 4 × 12 = 48 C. 4 × 4 = 16 D. 12 + 4 = 16
Answer:
B
Step-by-step explanation:
Let's use S for Suzanne
A for Allison
S= 12
4s = A
4 x 12 =48
What has a value closest to 9?
Answer: i think 83?"?"?
