[tex] \frac{3}{6} = three \: sixths[/tex]
[tex] \frac{3}{6} + \frac{3}{6} = \frac{3 + 3}{6} = \frac{6}{6} = 1[/tex]
Letter CQuestion 3 of 5
The cylindrical part of an architectural column has a height of 295 cm and a
diameter of 30 cm. Find the volume of the cylindrical part of the column. Use
3.14 for it and round your answer to the nearest cubic centimeter if needed.
30 cm
-I
295 cm
O A. 833,670 cm3
OB. 208,418 cm
O C. 27,789 cm3
O D. 29,217 cm
Find the value of each variable in the parallelogram.
Answer: m=35, n=110
Step-by-step explanation:
Consecutive sides have sum 180°
n+70=180n=180-70n=110And
2m+110=1802m=180-1102m=70m=35Abby made a quilt for her cousin doll The quilt had a 7×7 array of different colored square patches if each patch is 3 1/2 in long. What is the area of the whole quilt?
Answer:
The area would be 600.25 because 49 x 12 1/4 will equal the answer 600.25.
2n² + 2n - 12 = 0 in quadratic formula?
Answer:
Step-by-step explanation:
2n² + 2n - 12 = 0
in quadratic formula = n = 2, -3
[tex]2n^2+2n-12=0\\\\\implies n^2 +n-6=0\\\text{Apply quadratic formula,}~ n = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}. ~\\\\\text{In this case,}~ a=1,b=1, c= -6\\\\n=\dfrac{-1\pm\sqrt{1^2-4\cdot 1 \cdot -6}}{2\cdot 1}\\\\~~~=\dfrac{-1\pm\sqrt{1+24}}{2}\\\\~~~=\dfrac{-1\pm\sqrt{25}}{2}\\\\~~~=\dfrac{-1\pm5}{2}\\\\\text{Hence} ~ n=\dfrac{-1+5}{2} = 2 ~~\text{or}~~n = \dfrac{-1-5}2 = -3[/tex]
5 people are in a line to withdraw money from the local Bank. All 5 withdrawal the same amount. The total withdrawn was $845. How much money did each withdraw? Set up an equation to find out how much money each person withdrew and then solve it.
845 / 5 = 169
Each person withdrew 169$ from their accounts.
-
In the diagram below, UV is parallel to RS. If UT = 4, TS = 9.6, and TV = 6,
find the length of RT. Figures are not necessarily drawn to scale.
Check the picture below.
[tex]5xy { - x} ^{2} {t} + 2xy + 3x {}^{2} t[/tex]
what's the answer
Answer: 7xy + 2x^2t
Step-by-step explanation:
PLEASE HELP ILL GIVE EXTRA POINTS FOR ANSWER ⭐️⭐️⭐️‼️‼️
Answer:
d
Step-by-step explanation:
area=length ×width
156=13×w
w=156/13=?
P=2(l+w)
P=2(13+w)
double the difference of 6 and x
Which inequality represents all possible solutions of -6n < -12?
A n<72
B n>2
C n<2
D n> 72
the last question i posted someone tried to ip grab me
[tex]-6n < -12\\\\\implies 6n > 12\\\\\implies n > \dfrac{12}6\\\\\implies n > 2[/tex]
the sum of two numbers, one of which is two-third of the other, is 45. find the smaller number
Step-by-step explanation:
The smaller number is 18.
Step-by-step explanation:
Let larger number = x and smaller number = \dfrac{2}{3} x32x
To find, the smaller number = ?
According to question,
x+\dfrac{2}{3} x=45x+32x=45
⇒ \dfrac{3x+2x}{3} =4533x+2x=45
⇒ 5x=45\times 35x=45×3
⇒ 5x=1355x=135
⇒ x =\dfrac{135}{5} =27x=5135=27
∴ Smaller number =\dfrac{2}{3} \times 27=2\times 9 =18=32×27=2×9=18
Hence, the smaller number is 18.
A culture started with 6000 becteria. after 4 hours it grew to 6600 becteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. p=ae^kt
Answer:
7614
Step-by-step explanation:
The exponential growth of the bacteria culture can be modeled by the equation ...
p = a·b^(t/c)
where 'a' is the initial population, 'b' is the growth factor, and 'c' is the period over which that growth factor applies.
__
modelIn the given scenario, we have ...
a = 6000 bacteriab = 6600/6000 = 1.1 . . . . growth factorc = 4 hoursSo, our model is ...
p = 6000·1.1^(t/4)
__
applicationAfter 10 hours, the population is predicted to be ...
p = 6000·1.1^(10/4) ≈ 7614
We predict 7614 bacteria will be present after 10 hours.
__
Additional comment
If we compare the form we used to the one suggested in the proglem statement, we see
p = 6000·1.1^(t/4)p = 6000·e^(kt)For the bases of the exponential term to be the same, we must have ...
1.1^(t/4) = e^(kt)
(1.1^(1/4))^t = (e^k)^t . . . . . factor t from the exponent
1.1^(1/4) = e^k . . . . . . . match the bases
k = ln(1.1)/4 . . . . . take natural logs
k ≈ 0.0238275
and the equation becomes ...
p = 6000·e^(0.0238275t)
__
In terms of 'a', 'b', and 'c' used above, we find ...
k = ln(b)/c
4. triangle FBT is similar to triangle ADQ with a scale factor of 5/3. Complete the table below.
Sides Angles
BF = 15 B = 85
BT = F = 40
FT = 21 T =
AD = 9 A =
DQ = 6 D =
AQ = Q = 55
Triangle FBT is similar to triangle ADQ with a scale factor of 5/3. AD = 9; BF = 15, DQ = 6; BT = 10, FT = 21; AQ = 12.6
∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°
What are similar triangles?Similar triangles are triangles that have the same shape and the ratio of their corresponding sides are in the same proportion. Corresponding angles are equal.
triangle FBT is similar to triangle ADQ with a scale factor of 5/3.
AD = 9; BF = 9 * 5/3 = 15
DQ = 6; BT = 6 * 5/3 = 10
FT = 21; AQ = 21 * 3/5 = 12.6
∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°
Find out more on similar triangles at: https://brainly.com/question/2644832
Find the average of this set of numbers.16, 20, 30, 30
A) 14
B) 15
C) 25
D) none of the above
Answer:
D) none of the above
Step-by-step explanation:
16+20+30+30=96
96/4 =24
Young Sally went Trick or Treating last Halloween, In her treat bag were 15 pieces of gum, 7 lollipops, 8 tootsie rolls, 6 candy bars, and an apple.
a) Candy bars are her favorite. What percent of her treats are candy bars?
b) She really does not like gum or apples, What percent of the treats things she does not like?
Answer:
A: 16.2% (if you need it rounded, it is 16%)
B: 43.2% (if you need it rounded it is 43%)
Step-by-step explanation:
We need to find the candy bar percentage rate so we divide the amount of candy bars, by the total about of treats collected.
15 + 7 + 8 + 6 + 1 = 37
Now we divide the cady bars by the total amount:
6/37 = 16.2%
Now we do the same thing again but this time with the apples and gum:
16/37 = 43.2%
You did it!
Have a great day!!
Please rate and mark brainliest!!
Solve the equation Enter your answer as an equation that shows the value of
the variable (like s = 2/3, or 4 = w).
8x - 2 = 70
Algebra 1 Answer Key. ITEM 98. Find the equation that is equivalent to the quadratic equation shown. x2 – 8x – 8 = 0. A. x(x – 4) = 32. B. (x – 8)2 = 64.
please help answer by putting
"question ___ is option ___"
Answer:
B A C A B
Step-by-step explanation:
i took this test before
These points are linear.
Find the slope.
X 3 4 5 6 7
y 0 9 18 27 36
slope = [?]
Please help me find the area of the shape
Answer: the area of the octagon is 52.8 inches.
Step-by-step explanation:
1. find the equation to find the area of the given triangle:
(1/2 * base * height)
2. plug in give numbers into equation: (1/2 * 3.3 * 4) = 6.6
3. since the base of the triangle fits into one of the sides of the octagon, we can assume the triangle can be fit perfectly for each of the sides, completing the octagon. for this, multiply the area of the triangle by eight (amount of sides in an octagon). 6.6 * 8 = 52.8
hope this helped! ♡ -moni
Which statements are true about the figure? Check all that apply.
A net has 3 rectangular faces and 2 triangular faces.
The figure is a triangular prism.
The figure is a rectangular pyramid.
The figure has 6 vertices.
The figure has 6 faces.
The figure has 9 edges.
Answer:
Step-by-step explanation:
The figure is a triangular prism.
The figure has 6 vertices.
The figure had 9 edges.
Vertex: The meeting point of two edges is called vertex
Edge: The meeting point of two faces is called an edge.
what is -21/30 as a decimal
To convert -21/30 in the decimal form, we will neglect the negative sign and start dividing it in the normal manner and after the answer comes we will reunite the negative sign with the answer.
Kindly refer to the attachment for division.
Hence, -21/30 = -0.7
Answer:
Your answer is 0.7
Step-by-step explanation:
step one=21/30
Step two=21÷30
Answer=0.7
I hope that will help you
Need to see what the best result
Answer:
[tex]4 \sqrt{5} [/tex]
show your work :) giving brainliest!
Answer:
41/25
Step-by-step explanation:
So (-1)¹⁰ equals 1 because any number multiplied by a positive exponent is positive. Next, you do (-22)⁰ which equals 1. Anything to the zeroth power equals one. Now you add 1 and 1 which equals 2. Then you do -(3/5)² which equals -9/25 (You do 3 * 3 which equals 9 and 5 * 5 which equals 25. You then add the negative sign outside the parenthesis to get -9/25). Then you multiply 2 by 25 so both numbers have a common denominator of 25. That equals 50/25 ( 50/25 is 2). You subtract 50/25 by 9/25. That equals 41/25.
Answer:
[tex]\frac{41}{25}[/tex]
Step-by-step explanation:
[tex](-1)^{10} + ( -22)^{0} - (\frac{3}{5})[/tex]
[tex]1 + (-22)^{0} - (\frac{3}{5})^{2}[/tex]
[tex]1 +1 - (\frac{3}{5} )^{2}[/tex]
[tex]1 + 1- \frac{9}{25}[/tex]
add the numbers
[tex]2 -\frac{9}{25}[/tex]
Calculate the difference
[tex]\frac{41}{25}[/tex] ← Final answer! ~ Hope this helps~
Find the equation of a line that passes through the point (0,-4) and has a gradient of 2. Leave your answer in the form y=mx+c
Answer:
y=2x-4
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=2(x-0)
y+4=2x-0
y=2x-0-4
y=2x-4
Seventh grade
A triangular prism is 40 inches long and has a triangular face with a base of 42 inches and a
height of 28 inches. The other two sides of the triangle are each 35 inches. What is the
surface area of the triangular prism?
Step-by-step explanation:
area of 2 triangles + 3 rectangles
2 (0.5×42×28)
=2×588
=1176 inches square
2(35x40)=2800
42×40= + 1680
--------
=4480 inches square
1176+4480
=5656 square units
Click and drag like terms onto each other to simplify fully. 1+7+3y
Answer:
8+3y
Step-by-step explanation:
Combine like terms; 1+7=8. That is the only like term in this expression.
Jenna's pool is 22 feet long, 12 feet across and 6 feet deep.How many square feet of plaster will it take to cover it? (Be careful:Think about which parts will or won't be covered in plaster)
Answer:
264sq feet
Step-by-step explanation:
because you only need to cover the top you multiply 22 x 12 to get 264 sq feet
What is the slope of the line that passes through the points (1, 1) and (9, 7)?    
Answer:
slope =1
Step-by-step explanation:
(1, 1)=(x1,y1)
(9, 7)=(X2, y2)
now,
slope=(y2-y1)/(x2-x1)
=(7-1)/(9-1)
=8/8
=1
Hey there!
Use the slope formula:
[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]
[tex]\bold{\displaystyle\frac{7-1}{9-1}}[/tex]
Simplify
[tex]\bold{\displaystyle\frac{7}{8} }\hookleftarrow\text{Slope of the line}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
HELP 50pts!!!
Ivanna drove 225 miles using 10 gallons of gas. At this rate , how many gallons of gas would she need to drive 441 miles ?
____ gallons
19.6 gallons
Explanation:
225 miles → 10 gallons1 miles → (10/225) gallons441 miles → [ (10/225)*441 ] gallons441 miles → 19.6 gallons
Shahida has seen an eagle landing at the top of the tree in her backyard. She places a camera on a tripod a distance of 12 feet from the
trunk of the tree. She angles the camera to the top of the tree so she can get a picture of the eagle. The height of the tree is 31 feet. The
height of the tripod is 4 feet.
The angle of elevation from the tripod to the top of the tree is about 66 degrees
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let Ф represent the angle of elevation. Since the tripod is at a height of 4 feet, hence:
tanФ = (31 - 4) / 12
Ф = 66 degrees
The angle of elevation from the tripod to the top of the tree is about 66 degrees
Find out more on trigonometric ratio at: https://brainly.com/question/24349828