Answer:
Perimeter = 36 cm
Step-by-step explanation:
Ratio of sides = 5:4:3
Sides are:
a = 5x ; b= 4x ; c = 3x
Semi perimeter S = (a + b+ c )/2 = (5x + 4x +3x)/2 = 12x /2 = 6x
S - a = 6x - 5x = x
S - b = 6x - 4x = 2x
S - c = 6x - 3x = 3x
[tex]Area=\sqrt{S*(S-a)*(S-b)*(S-c)}\\\\\sqrt{6x*x*2x*3x}=54\\\\\sqrt{36x^{4}}=54\\\\6x^{2}=54\\\\x^{2}=\frac{54}{6}\\\\x^{2}=9\\\\x=\sqrt{9}\\\\ x=3\\[/tex]
sides of triangle:
a = 5x = 5*3 = 15 cm
b = 4x = 4*3 = 12 cm
c = 3x = 3*3 = 9 cm
Perimeter = 15 + 12 + 9 = 36 cm
A cylindrical bucket and spherical storage container are shown. The bucket has a radius of 6 inches and a height of 15 inches, and the storage container has a diameter of 24 inches. Nicholas says he can fill the entire storage container with seef by filling the bucket four times and pouring the contents into the container. Is Nicholas correct? Explain why or why not.
Answer:
since the ratio of both volumes is approximately 4, then we can say Nicholas is correct
Step-by-step explanation:
Firstly, what we need to do is to calculate the volume of both.
For the cylindrical bucket, the volume can be calculated as
pi * r^2 * h
where r is 6 inches and h is 15 inches
The volume is thus
pi * 6^2 * 15 = 540pi inches*3
For the spherical storage, the volume can be calculated using the formula
V = 4/3 * pi * r^3
with r = d/2 = 24/2 = 12 inches
The volume is thus;
V = 4/3 * pi * 12^3 = 2,304 pi inches^3
Now, to confirm the validity of Nicholas’ claims, we shall divide the volume of the spherical storage by the volume of the cylindrical container.
Mathematically that would be 2,304pi/540 pi = 4.267 which is approximately 4 times
Which is the best estimate for the liquid volume of a small carton of milk?
Answer:
Step-by-step explanation:
Currency on hand = 2,000 Swiss francs Currency desired = Dutch guilders (Holland) How many guilders based on Wednesday rate? (Hint: Convert 2,000 Swiss francs to United States dollars. Then convert United States dollars into guilders.)
Answer:
4175.40384 Dutch guilders
Step-by-step explanation:
The main objective here is to convert the currency at hand (2,000 swiss francs) to Dutch guilders. In order to achieve that ; we need first require to convert the currency at hand into United states dollars
So ; if 1 swiss francs = 1.0328 united states dollars (as at Wednesday)
Then 2000 swiss francs will be = 2000 × 1.0328 united states dollars = 2065.6 united states dollars
SO; if 1 united states dollars = 2.0214 Dutch guilders ( as at Wednesday)
Then 2065.6 united states dollars will be = 2065.6 × 2.0214
= 4175.40384 Dutch guilders
Answer:
closest would be 3,500
Step-by-step explanation:
The ratio of men to women is 5 to 8. If there are 286 employees total how many women work for the company ??
Please answer
Answer:
There are 176 women in the company.
Step-by-step explanation:
Let number of men are 5x and number of women are 8x.
Total number of employees in the company are 286.
But according to given condition, total no of employees are :
[tex]5x+8x = 286\\\\13x=286\\\\x=\dfrac{286}{13}\\\\x=22[/tex]
Total no of women are 8x. It means [tex]22\times 8=176[/tex]. Hence, there are 176 women in the company.
An oil storage tank is a cylinder with a height of 50 feet and a diameter of 20 feet what is the volume of the tank
Answer:
15707.96
Step-by-step explanation:
Answer:
5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)
Step-by-step explanation:
V = (pi)r^2h
r = radius = diameter/2
r = 20 ft/2 = 10 ft
V = (pi)(10 ft)^2(50 ft)
V = 5000(pi) ft^3
V = 5000(3.14159) ft^3 = 15,708 ft^3
Answer: 5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)
Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?
Answer: 40 feet
Step-by-step explanation: Volume = length * width * height
then substitute Volume = 2 * 4 * 5
multiply Volume = 8 * 5
multiply again Volume = 40
hope this helps mark me brainliest if it did have a great day
Language arts test is worth 100 points there is a total of 26 question There are spelling words question that I wasn't points each in vocabulary words question worth five points each how much of each type of question are there
Answer: There are 10 two points and 16 five points questions.
Step-by-step explanation:
This is the detailed question:
A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?
Let y = the number of 2 points questions
Let z = the number of 5 points questions
y + z = 26 ......... i
2y + 5z = 100 ........ ii
Multiply equation i by 2
Multiply equation ii by 1
2y + 2z = 52 ......... iii
2y + 5z = 100 ....... iv
Subtract iv from iii
-3z = -48
z = 48/3
z = 16
Since y + z = 26
y = 26 - 16
y = 10
y = 10 two points questions
z = 16 five points questions
There are 10 two points and 16 five points questions.
a rectangle has a width that is 7 centimeters less than its length, and it’s area is 330 square centimeters. what are the dimensions of the rectangle?
Answer:
The dimensions of the rectangle are 22cm of length and 15cm of width
Step-by-step explanation:
To solve this we first have to know the formula to calculate the area of a rectangle
a = area = 330 cm²
L = length =
w = width = L - 7cm
a = l * w
we replace with the known values
330 cm² = L * (l - 7cm)
330 cm² = L² - 7Lcm
0 = L² - 7Lcm - 330 cm²
when we have an equation like this we can use bhaskara
a = 1
b = -7Lcm
c = -330cm²
ax² + bx + c = 0
x = -b(±)√(b² - 4ac)/2a
we replace with the known values
L = -(-7cm)(±)√(7² - 4(1)(-330cm²)) / 2(1)
L = 7cm(±)√(49 + 1320cm²)) / 2
L = 7cm(±)√(1369cm²)) / 2
L1 = (7cm + 37cm) / 2
L1 = 44cm / 2 = 22cm
L2 = (7cm - 37cm) / 2
L2 = -30cm / 2 = -15cm
The positive represents the unknown with which we work (L) and the negative with which we do not work (W)
The dimensions of the rectangle are 22cm of length and 15cm of width
which quadrilateral always has diagonals that are congruent but not necessarily perpendicular?
a) parallelogram
b) rectangle
c) rhombus
d) square
Answer:its a rectangle
Step-by-step explanation:
How would you find the area of this?
How many solutions does this equation have?
–8 + t = –t + 10
Answer:
One
Step-by-step explanation:
Since (1) is the highest exponent value, there can only be one solution.
IF t^2 then there would be two answers.
Answer:
One solution
Step-by-step explanation:
To find the amount of solutions, you must solve first:
-8 + t = -t + 10
First, add t to both sides:
-8 + 2t = 10
Add 8 to both sides:
2t = 18
Divide both sides by 2:
t = 9
Since there has been a solution to this equation, that means there's only one solution.
What is the axis of symmetry for the function f(x)=7-4x+x2?
X=-3
x = -2
x = 2
x= 3
Answer:
x = 2
Step-by-step explanation:
C on edg 2020
The axis of symmetry of f(x) = 7-4x + x^2 is x = 2
How to determine the axis of symmetry?We have:
f(x) = 7-4x + x^2
Differentiate the function
f'(x) = -4 + 2x
Set the function to 0
-4 + 2x = 0
Add 4 to both sides
2x = 4
Divide by 2
x = 2
Hence, the axis of symmetry of f(x) = 7-4x + x^2 is x = 2
Read more about axis of symmetry at:
https://brainly.com/question/15709421
#SPJ9
A sphere with a radius of 11 in
Answer:
-The volume of a sphere:
[tex]V \approx 5575.279[/tex] [tex]in ^3[/tex]
or
[tex]V \approx 5575.28[/tex] [tex]in^3[/tex] (Rounded to the nearest hundredth if needed)
Step-by-step explanation:
-Use the formula for the volume of a sphere and use the radius [tex]11[/tex] [tex]in[/tex] for that formula:
[tex]V = \frac{4}{3} \pi r^3[/tex]
[tex]V = \frac{4}{3} \pi 11^3[/tex]
-Then, you solve the formula:
[tex]V = \frac{4}{3} \pi 11^3[/tex]
[tex]V = \frac{4}{3} \times \pi \times 11^3[/tex]
[tex]V = \frac{4}{3} \times \pi \times 1331[/tex]
[tex]V = \frac{4}{3} \pi \times 1331[/tex]
[tex]V = \frac{5324}{3} \pi \approx 5575.279[/tex]
-Round up to the nearest hundredth (if needed):
[tex]V \approx 5575.28[/tex]
Simplify over the set of complex numbers sqrt(- 1)
Answer: i
Step-by-step explanation:
[tex]\sqrt{-1} =i[/tex]
Samuel has a bell box that contains
4 door bells, 3 office bells, and 7 big
bells. Without looking, Samuel
Chooses a bell from the box, what is the
relative frequency probability the
when he selects a doorbell?
Answer:
4 out of 14
Step-by-step explanation:
there is only 4 door bells and 14 bells in total
rectangle with length 11 1/2 in. and width 8 in The area of this rectangle is____________
in2.
Answer:
Step-by-step explanation:
look, area = length x width
so that means that the area of this rectangle is
= 11 1/2 * 8
= 23/2 * 8
= 23 * 4 (simplified)
= 92 in^2
Answer:
[tex]92in.^{2}[/tex]
Step-by-step explanation:
Area of a rectangle= L×W
If length= 11[tex]\frac{1}{2}[/tex]in. and width= 8in.,
∴ Area = 11[tex]\frac{1}{2}[/tex]in. × 8in.
= [tex]\frac{23}{2}[/tex] × [tex]\frac{8}{1}[/tex] [tex]in.^{2}[/tex]
= (23 × 4) [tex]in.^{2}[/tex]
= 92[tex]in.^{2}[/tex]
Hope this helps!!!
halp me do this pleeeeeasssseee
Answer:
Step-by-step explanation:
The question isn't clear...
hey can anyone pls help me out in dis pls i will mark u as brainliest!!!!! and i will give 30 points
Answer:
graph b because its a parabola
Step-by-step explanation:
Answer:
Graph B does not belong
Step-by-step explanation:
All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic
3. The measure of each inscribed
angle is equal to( )times the
measure of the intercepted arc.
a. 1/2
b. 1
c. 2
Answer: A. 1/2
Step-by-step explanation:
What is the probability of the complement of rolling a number less than 5 by using a six-sided die? StartFraction 1 over 6 EndFraction One-third Two-fifths Two-thirds
Answer:
1/3 = 0.3333 = 33.33%
Step-by-step explanation:
In the six-sided die we have 6 possible values, from 1 to 6.
To roll a number less than 5, the options are: 1, 2, 3 or 4.
We have 4 options, so the probability is P = 4/6 = 2/3
To find the complement of this probability, we just need to calculate 1 minus the probability, so we have that:
complement = 1 - P = 1 - (2/3) = 1/3 = 0.3333 = 33.33%
(We could also find the probability of rolling 5 or 6, which is the complement of rolling less than 5)
Answer:
1/3
Step-by-step explanation:
I took the test
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
with a diameter of 10m
Answer:
523.59 or 523.60
Step-by-step explanation:
Volume for a sphere: 4/3πr^3 (4÷3x π x r ^ 3)
(r is radius, V is volume)
V= 4/3 x π x r^3
The diameter is 10, so the radius is 5...
V= 4/3 x π x 5^3
V= 4/3 x π x 125
CALCULATER: 4 ÷ 3 x π x 125
Answer 523.59 (523.60 rounded)
plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
88 inches
Step-by-step explanation:
The given bicycle has a tyre that is 28 inches in diameter.
How far the bicycle moves forward each time the wheel goes around is the circumference of the bicycle tyre.
This is calculated using the formula:
C =\pi \: d
We substitute the diameter and
\pi = \frac{22}{7}
C = \frac{22}{7} \times 28
This simplifies to
C =22 \times 4
88 \: inches
The height of a trapezoid is 4 in. And its area is 48 in 2. One base of a trapezoid is 6 inches longer than the other base. What are the lengths of the bases? Complete the explanation of how you found your answer.
Answer:
a=9
b=15
Step-by-step explanation:
Well the area formula of a trapezoid is: [tex]\frac{a+b}{2} *h[/tex]
[tex]\frac{a+b}{2} *4=48[/tex]
Divide both sides by 4
[tex]\frac{a+b}{2} =12[/tex]
Multiply both sides by 2
a+b=24
Now since one of the sides (b) is 6 inches longer than a, we get;
a+a+6=24
Subtract 6 from both sides
2a=18
Divide both sides by 2
a=9
b=9+6=15
What is
15,379 times 51
Answer:
784329
Step-by-step explanation:
Solve for x in the following figure.
Answer:
x=80°
Step-by-step explanation:
supplementary angles equal 180°
∠J=80
80+x+20=180
100+x=180
x=80
Help meeee!!! Whats x
Answer:
74°
Step-by-step explanation:
The angle on a line = 180°
therefore:.
x + 106° = 180°
x = 180° - 106°
x = 74°
Answer: 74 degrees.
Step-by-step explanation:
Angles on the same side of a line add to 180.
The angle measure of 106 and the angle measure of x lie on the same side of the line WZ, so you can add them both to get 180:
106 + x = 180
x = 74
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
The answer is C
Step-by-step explanation:
Answer: The answer is C.
hope you do good on quiz! :D
3. If the legs of an isosceles right triangle are 10 inches long, approximate the length of
the hypotenuse to the nearest whole number
Answer:
Using the Pythagorean theorem for isosceles right triangle, the length of the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in
Hope this helps!
:)
To hi a ball over a tree, a golfer hits the ball with a path that is modeled by h = -16t^2 + 80t where h is the height in meters and t is the time in seconds. Determine the hight of the ball after 1 second, the time it takes the ball to reach its maximum height, the maximum height of the ball, and the time it takes for the ball to return to the ground.
Answer:
After one second, the height is 64 meters high
Step-by-step explanation:
The rest.... Let's wait to find out... Haha tried to find the answer for 10 minutes straight but it's kinda hard since it might equal decimals
Which graph represents Y=2/5x+2
Answer:
Your graph will have a y intercept of (0,2) and from that point move up 2 and to the right 5 to the point (5,4) then draw a line connecting and extending beyond these two points.
Step-by-step explanation:
y = mx + b
m = slope which is rise over run
b = y intercept
y = 2/5x + 2
m = 2/5
b = 2
This means that your graph will have a y intercept of (0,2) and from that point move up 2 and to the right 5 to the point (5,4) then draw a line connecting and extending beyond these two points.
