Answer:
x = 12
Step-by-step explanation:
We have a right triangle with hypotenuse 10 and the height 8. Either the one on the left or the one on the right
We can find the base using the Pythagorean theorem
a^2 + b^2 = c^2
a^2 +8^2 = 10^2
a^2 +64 = 100
Subtract 64 from each side
a^2 = 100 -64
a^2 = 36
Take the square root of each side
a = 6
Now a is 1/2 of the total base of the big triangle. It is identical since the triangles are equal
x = 2 * a
x = 2*6 = 12
Answer:
x = 12
Step-by-step explanation:
Consider the right angle triangle with
base: x/2
height: 8
hypotenuse: 10
Using pythagoras theorem
10² = 8² + (x/2)²
(x/2)² = 100 - 64
(x/2)² = 36
x/2 = 6
x = 12
7h=-(2h-18)7h=−(2h−18) Solve for h
Answer:
h=2
Step-by-step explanation:
7h=−(2h−18)
Distribute the minus sign
7h = -2h +18
Add 2h to each side
7h +2h = -2h+2h +18
9h = 18
Divide each side by 9
9h/9 =18/9
h =2
Answer:
h = 2
I got it right on Kahn Academy
Para eleição do grêmio estudantil existem 5 cargos. Presidente, vice presidente, diretor, vice diretor e tesoureiro. A chapa ganhadora tem 5 pessoas: Alessandra, Bárbara, Carla, Denise e Elvira. De quantas maneiras diferentes as cinco pode ocupar os cargos do grêmio estudantil? *
Answer:
There are 120 ways for their roles to be divided.
120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.
Step-by-step explanation:
We want to arrange n people in n positions.
Since the number of objects(in this case, the people) is the same as the number of positions(in this case, the roles), we use the arrangments formula.
Arrangments formula:
The total number of possible arrangents of n elements is:
[tex]A_{n} = n![/tex]
In this question:
5 students, so
[tex]A_{5} = 5! = 120[/tex]
There are 120 ways for their roles to be divided.
120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.
Help!!! Please????????
Answer:
idk
Step-by-step explanation:
i dont know
Use the Rate-Factor Model for multiplication. The rate is 320 feet per hour, 320 feethour . The hiking team descended the mountain from 1 pm to 5 pm. The net change is a __________________ of _________________feet.
increase, 320 feet
decrease, 320 feet
increase, 1,280 feet
decrease, 1,280 feet
Answer:
The net change is a decrease of 1,280 feet
Step-by-step explanation:
From the question, we understand that the hiking team has a work rate of 320 feet / hour
Now that are descending between the hours 1pm and 5pm, this means that they descended for a total of 4 hours.
Now the total number of feet they have descended will be the number of hours * work rate = 4 hours * 320 feet/hour = 1,280 feet
Thus, the net change is decrease of 1,280 feet
Claire bought a pair of jeans that regularly cost $50 on sale for $40. What was the percent decrease in price?
The answer is 20%
If 50 is your 100%, take 100 and 90 for example it would be obvious that is it 10% off, so with 50 since it is half of 100 you double the 10% which will be 20%. :)
Answer:
-20% decrease
Step-by-step explanation:
40-50=-10
-10/50=-0.2
-0.2*100=-20%
Hope this helps.
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)
Match each equation with its graph
Answer:
A--> D
B-->A
C--> C
D-->B
In ΔNOP, the measure of ∠P=90°, NP = 12, PO = 35, and ON = 37. What ratio represents the cosine of ∠O?
Answer:
35/37
Step-by-step explanation:
In this question, we are to calculate the ratio that represents the cosine of angle O
Firstly, please check attachment for diagram of the triangle.
Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse
The hypotenuse is the longest length which is 37 which represents the length ON
The side adjacent to angle O is the side OP which is 35
Thus, the ratio representing the cosine of angle O is 35/37
Answer:
8/15
Step-by-step explanation:
this is another answer, if you get these numbers
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 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 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
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:
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
The answer is C
Step-by-step explanation:
Answer: The answer is C.
hope you do good on quiz! :D
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
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
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.
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
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...
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]
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!
:)
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)
20:12 in simplest ratios
Answer:
5: 3
Step-by-step explanation:
20:12
Divide each side by 4
20/4:12/4
5: 3
Answer:
5:3
Step-by-step explanation:
Simplify 20 and 12 until they cannot be divided as a whole anymore.
20=10=5
12=6=3
Round your answers to one decimal place, if necessary.
Find the mean and median of these data: 3, 4, 12, 14, 17, 19.
The mean is
The median is 14
Answer:
The mean is 11.5
Step-by-step explanation:
When looking for the mean you add all the given numbers then divide based on the amount of numbers.
3+4+12+14+17+19=69
69/6=11.5
If this helps please mark me as the brainliest
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:
What is
15,379 times 51
Answer:
784329
Step-by-step explanation:
Which is the best estimate for the liquid volume of a small carton of milk?
Answer:
Step-by-step explanation:
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
Simplify over the set of complex numbers sqrt(- 1)
Answer: i
Step-by-step explanation:
[tex]\sqrt{-1} =i[/tex]
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.