Answer:
6 mm slope 3
Step-by-step explanation:
The following hemisphere has a radius of 8cm.
Find the volume of the hemisphere correct to 1 decimal place.
Volume of a sphere= 4/3 π r3
Pls help! I'm Stuck
Answer:
1072.3 cm³ (1 dp)
Step-by-step explanation:
A hemisphere is half a sphere.
Therefore, calculate the volume of a sphere with radius 8 cm, then half it.
Volume of a sphere = 4/3 π 8³
= 4/3 × π × 512
= 2048/3 π cm³
Volume of hemisphere = (2048/3 π) ÷ 2
= 1024/3 π
= 1072.3 cm³ (1 dp)
In Cincinnati, fireworks are launched from a large barge on the Ohio River for a Labor Day celebration.
Their flight can be modeled by the function h(t) = -4.9(t - 4)2 + 80, where h is the height in meters and t is the time in seconds.
Suppose that buildings obstruct the fireworks. So, the barge is relocated 30 meters to the east.
Write a function to model the path of the fireworks in the new location.
The function to model the path of the fireworks in the new location is -4.9(t - 4)^2 + 50
Equations and expressionGiven the height reached by the flight expressed as:
h(t) = -4.9(t - 4)^2 + 80
If the barge is relocated 30 meters to the east, the new function will be derived by subtracting 30 from the initial function
New function = -4.9(t - 4)^2 + 80 - 30
New function = -4.9(t - 4)^2 + 50
Hence the function to model the path of the fireworks in the new location is -4.9(t - 4)^2 + 50
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Help please. giving brainliest.
Answer:
length×base×height
3
= 10×10×8
3
= 800
3
= 266.67cm³
Construction on Greenville High School’s football stadium costs $2,580 plus an additional $230 per day for labor. Construction on the school’s new baseball stadium costs $1,290 plus an additional $552.50 per day for labor.
What is the cost when both construction projects cost the same amount?
Answer: 4,856
Step-by-step explanation:
YEEE
The normal distribution can well approximate the binomial distribution as long as.
The normal approximation to the binomial is when you use a continuous distribution (the normal distribution) to approximate a discrete distribution (the binomial distribution).
Sipho and Litha are brothers. The sum of their ages is 29. In 6 years' time Sipho will be the same age as Litha was 3 years ago. Determine the current age of the two brothers. Let x be the age of Sipho. 0 Copy and complete the table below: Current 3 Years Ago In 6 Years Sipho Litha Write down an appropriate equation in order to determine x. Solve for x and write down the age of Sipho and Litha
Answer: See below
Step-by-step explanation:
Let s represent Sipho's age and let l represent Litha's age
The sum of their ages is 29 years
s + l = 29...(1)
In 6 years time, Sipho (s+6), will be the same age Litha was 3 years ago (l-3)
(s+6) = (l-3)...(2)
Age:
s + l = 29
s = 29 - d (express c in d)
(29-s+6) = s - 3 (substitute c)
s+(29-s+6) = s+(d-3)
29+6 = 2s -3
29+6+3 = 2s
38 = 2s
19 = s
Back to (1):
l = 29 - 19
l = 10
Therefore, Sipho is currently 19 years old and Litha is 10 years old
The current age for the two brothers, Sipho and Litha is 10 years old and 19 years old respectively.
What is linear equation?A linear equation is the equation in which the highest power of the unknown variable is one.
To solve this problem, let's make the linear equations by the given statement.
Let x be the age of Sipho and y is the age of Litha. The sum of their ages is 29. Therefore,
[tex]x+y=29\\y=29-x[/tex]
Thus, the age of Litha is (29-x)
In 6 years' time, Sipho will be the same age as Litha was 3 years ago. Therefore,
[tex]x+6=(29-x)-3\\x+6=29-x-3\\x+x=29-3-6\\2x=20\\x=\dfrac{20}{2}\\x=10[/tex]
Thus, the age of Sipho is 10 years. The age of Litha is,
[tex]y=29-10\\y=19[/tex]
Hence, the current age for the two brothers, Sipho and Litha is 10 years old and 19 years old respectively.
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Hᴇʟʟᴏ Bʀᴀɪɴʟɪᴀɴs ¡!
Nᴇᴇᴅ Hᴇʟᴘ ¡!
Here's a question :-
1) The radii of the ends of a frustum of a cone 45cm high are 28cm and 7cm ( see figure ) . Find it's volume , the curved surface area ( Take π = 22/7 ) .
________________________________
♦ Note :-
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✓ Quality answer needed ...
Answer:
volume: 49280 cm³ and curved S.A = 5826.64 cm²
Explanation:
height of smaller cone: h₂radius of smaller cone: 7height of bigger cone: 45 + h₂radius of bigger cone: 28using similarities:
[tex]\sf \frac{45 + h2}{28} = \frac{h2}{7}[/tex]
[tex]\sf 315 + 7h2 = 28h2[/tex]
[tex]\sf 315 = 28h2-7h2[/tex]
[tex]\sf 315 = 21h2[/tex]
[tex]\sf 15 = h2[/tex]
total height of the cone: 45 + 15 = 60 cm
solve for volume:
[tex]\sf volume \ of \ cone \ = \frac{1}{3} \pi r^2 h[/tex]
[tex]\sf volume \ of \ cone \ = \frac{1}{3} \pi (28)^2 (60)[/tex]
[tex]\sf volume \ of \ cone \ = 15680\ *\frac{22}{7}[/tex]
[tex]\sf volume \ of \ cone \ = 49280 \ cm^3[/tex]
First find the slant height using Pythagoras theorem -
[tex]\sf l^2 = r^2 + h^2[/tex]
[tex]\sf l =\sqrt{ r^2 + h^2}[/tex]
[tex]\sf l =\sqrt{ (28)^2 + (60)^2}[/tex]
[tex]\sf l =66.212 \ cm[/tex]
solve for curved surface area:
[tex]\sf curved \ surface \ area = \pi rl[/tex]
[tex]\sf curved \ surface \ area = \pi (28)(66.2)[/tex]
[tex]\sf curved \ surface \ area =5826.64 \ cm^2[/tex]
Find X cm giving 6cm and 5cm of a circle theorems
Answer:
[tex]\huge\sf\red{Solution :- }[/tex]Here Given,
KL = 6 cm , LM = LO + OM = 10 cm & KM = x cm
∆LKM is a right angled traingle it is because
∠ LKM = 90° [Angles of semicircle]
By Using Pythagoras theorem :-
KM² = LM² - KL²
KM² = 10² - 6²
KM² = 100 - 36
KM = √64
KM = 8 cm
★Hence, The Value of KM is 8 cm
__________________________________
the zoo has 400 employess 72 percent of them are part time employess how many employess work full-time
Answer:
112
Step-by-step explanation:
There are 400 employees. If 72 of them work part-time, then 72% of 400 = 400*72%. This equals 288. Then you subtract that from 400 because the rest of them should be full-time workers. 400-288=112.
Answer:
112
Step-by-step explanation:
400 x 0.72 = 288, so that's the number of part-time employees.
400 - 288 = 112
A decorative plate has a circumference of 68.5 centimeters. Find the approximate diameter of the plate. Use 3.14 for pie. Round to the nearest hundredth if necessary. PLSSS HELP
The approximate diameter of the circular plate with circumference of 68.5 centimetre is 21.82 centimetres.
What is circumference of a circle?
The circumference of a circle is the perimeter of a circle. Therefore, the formula of a circle can be represented as follows:
circumference = 2πr
where
r = radiusTherefore,
circumference = 68.5 cm
68.5 = 2 × 3.14 × r
r = 68.5 / 6.28
r = 10.9076433121
radius = 10.907
Diameter = 2(radius)
Diameter = 2 × 10.9076433121
Diameter = 21.8152866242
Diameter = 21.82 cm
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What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)?
Answer:
43
Step-by-step explanation:
the quotient is 3x⁴_4x²+7x_12
Factoring polynomials, Ill raise the amount of points for each question right
Answer: (k - 1) (9k^2 + 1)
What is the slope of this line?
Answer:
M=6/7 (M= six over seven)
Step-by-step explanation:
Answer:
[tex]\boxed{\sf{-3}}[/tex]
Step-by-step explanation:
You can solve this problem by using the slope formula to find the slope of the line.
Slope formula:
[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1}=\dfrac{RISE}{RUN}}[/tex]
y2=(-2)
y1=10
x2=(-5)
x1=(-9)
Rewrite the problem down and then solve it.
[tex]\sf{\dfrac{(-2)-10}{(-5)-(-9)} }=\dfrac{-2-10}{-5+9}=\dfrac{-12}{4}[/tex]
Divide by 4 as well.
[tex]\sf{\dfrac{-12\div4}{4\div4}=\dfrac{-3}{1}=\boxed{\sf{-3}}}[/tex]
Therefore, the slope is -3.
I hope this helps! Let me know if my answer is wrong or not.
A quadrilateral has angles that measure 115, 97, and 68. What is the measure of the missing angle?
The sum of all the angles of any quadrilateral is 360 degrees
115 + 97 + 58 + missing angle = 360
missing angle = 90 degrees
Hope that helps!
Answer:
90
Step-by-step explanation:
Since sum of all the angles of any quadrilateral is 360 degrees
115 + 97 + 58 + x = 360
Solve for x:
Add the numbers
270 + x = 360
Rearrange terms
x + 270 = 360
Subtract 270 from both sides of the equation
x + 270 - 270 = 360 - 270
Simplify
x = 90
Missing angle = 90
[RevyBreeze]
Giving brainlyist to the person with the correct answer
Answer:
10 x 20
Step-by-step explanation:
it's 10 on the side of the shaded area, and 20 on the opposing side, so in this case, it must be 10 x 20 = 200.
hope it helps
Answer:
Your answer would be B!
Hope this helps.
Someone pls help asap I really need the answer real quick
Answer:
380.16
Step-by-step explanation:
To find the capacity of a tank: multiply the length by the width to get the area. Then multiply the area by height to get volume. Finally, multiply the volume by 7.48 gallons per cubic foot to get capacity.
The difference of a certain number and 4 is 36. What is the number
Answer:
40
Step-by-step explanation:
since you can just add 4 to 36 to get 40.
Answer:
40
Step-by-step explanation:
Let n represent the number then...
n-4=36
Add 4 to both sides
n-4+4=36+4
n=40
The number is 40
The value of expression x
2 + 3x
2 − 5n − 2 when x = 2 is
2 + 3x
= 5
X = 5Have a Nice day
Is this right. Can you explain? Algebra
Answer:no the correct answer should be (4,1)
Step-by-step explanation:
I reduced the equations to linear form then I used substitution to find the cordinents.
Two trains, train A and train B,weigh a total of 161 tons. Train A is heavier than train B. The difference of their weights is 125 tons. What is the weight of each train?
Answer:
Train A : 143 tons ; Train B : 18 tons
Step-by-step explanation:
Call train A as A, train B as B
A + B = 161t
A - B = 125t
A = (161+125) : 2 = 143t
B = 143t - 125t = 18t
identify the triangle
Answer:
scalene right
Step-by-step explanation:
it has a right angle in it and all the sides are different.
HELP ASAP.....NO LINKS AND NO TROLLING
the graph of f(x)=x^2 is shown
compare the graph of f(x) with the graph of g(x)=x^2+8
Answer:
B. The graph of g(x) is narrower than the graph of f(x)
D.The graph g(x) is 8 units above the graph of f(x)
check the image given below.
The blue line refers to graph g(x)The red line refers to graph f(x)What is the slope of the line that passes through the points (0,-10) and (-4,-11)? Write your answer in simplest form.
The slope of the line that passes through the points (0,-10) and (-4,-11) will be 1/4.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line. Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other. The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.
Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
Given that the line passes through the points (0,-10) and (-4,-11).
From the formula to find the slope of a line which passes through points
m= y2-y1 / x2-x1
Substitue the points (0,-10) and (-4,-11).
The slope = m = -11-(-10) /. -4-0
m = -1/-4
m = 1/4
Therefore, the slope of the line that passes through the points (0,-10) and (-4,-11) will be 1/4.
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can anyone help me to get the answers please its important 5. An item marked at ₹ 340 is sold for ₹ 324. What is the discount? 6. ___________ is the amount which we pay when we buy items
Question 4 of 5
What is the approximate radius of a sphere with a volume of 3052 cm3?
A. 27 cm
o
B. 18 cm
C. 54 cm
D. 9 cm
SUBMIT
Answer:
D. 9 cm
Step-by-step explanation:
The radius of the sphere can be found by solving the volume equation for the radius.
V = 4/3πr³
3V/(4π) = r³
r = ∛(3V/(4π)) = ∛(3×3052/(4×π)) ≈ ∛728.611
r ≈ 9.0 cm
The radius of the sphere is about 9 cm.
Becky wants to make a giant cherry pie to try to break the world record. If she succeeds in making a pie with a 20 foot diameter, what will be the total distance around the pie? please round to the nearest tenth. Use 3.14 for pi.
The distance around would be the circumference.
Circumference formula = diameter x pi
circumference = 20 x 3.14 = 62.8 feet
Answer: 62.8 feet
The Juice Cafe posted the sign below showing the prices of smoothies of various sizes.
Which change would make the price of smoothies a function of the size?
A. change the smoothie prices so that each interval between prices is $0.50
B. change the first 12-ounce smoothie to a 10-ounce smoothie so that each smoothie size has only one price
C. change the price of the 22-ounce smoothie to $4.29 so that each price is assigned to only one smoothie size
D. change the 22-ounce smoothie to a 24-ounce smoothie so that each interval between smoothie sizes is 4 ounces
Answer:
i think its A
Step-by-step explanation:
hope this helps :>
if your doing a stem and leaf plot with decimals and whole numbers, would the decimals be greater than or less than the whole numbers?
(will mark brainliest if you answer)
Let's say we had this data set
1212.71313.113.51414.9This is a collection of whole numbers and decimal values. We need to standardize everything so every value is the same length exactly. Something like "12" involves 2 digits while "12.7" involves 3 digits. We can rewrite 12 into 12.0 to standardize everything to 3 digits. Same goes for 13 into 13.0 and 14 into 14.0
This is the new updated list
12.012.713.013.113.514.014.9Everything now has a decimal point and involves exactly 3 digits.
From here, we'll form the stems: 12, 13, 14
The leaf values are the last digit. Each separate leaf digit refers to one exact number from the original data set.
Refer to the stem-and-leaf plot below.
As you can see, something like 13.0 is smaller than 13.1; therefore, the whole numbers are smaller than the decimal values for a given stem only.
consider the distance equation d=rt, where d is the distance (in feet), r is the rate (in feet per second), and t is the time (in seconds). you run fir 50 seconds. Are the distance you run and the rate you run at proportional? Use a graph to justify your answer.
Answer:
yes, they are proportional
Step-by-step explanation:
A proportion is a relation that can be modeled by a straight line through the origin. The equation will have the form ...
y = kx
where x is the independent variable, y is the dependent variable, and k is a constant of proportionality.
__
If you start with the equation relating distance, rate, and time:
d = rt
and you fix the time at 50 seconds, then the equation becomes ...
d = 50t
This is the equation of a proportion with a constant of proportionality of 50. It tells you the distance run is proportional to the rate you run. When this equation is graphed, it is a straight line through the origin.
Which of the following is the graph of a function of x?
Hurry pls, I need help
Answer:
A
Step-by-step explanation:
I'm not fully sure :(