Answer:
805.05333.....
Step-by-step explanation:
To find the volume of a pyramid you need to multiply the bases length, width, height , and [tex]\frac{1}{3}[/tex]
but since 20.7 is not the height then you would need to find it
So imagen a line down the very middle of the pyramid
and connect that with the 20.7in line then connect it again and that makes a triangle.
So there is a formula and it is a²+b²=c²
in this problem a is the missing height b is 11/2 which is 5.5 and c is 20.7
a²+5.5²=20.7² ---> 428.49-30.25=a² --->398.24=a² --->19.955951.....=a
11 x 11 x 19.960 x [tex]\frac{1}{3}[/tex] = 805.05333.....
Answer:
volume = 805.05 in³
Step-by-step explanation:
Here's my calculations.
first, finding the true height (not the slope length):
using the Pythagorean theorem:
height² = 20.7² - 5.5² = 428.49 - 30.25 = 398.24
height = √398.24 = 19.96 in
base = 11 x 11 = 121
volume = 1/3bh = 1/3(121)(19.96) = 805.05 in³
The ages of the employees at Solar Systems, Inc. Is normally distributed with a mean of 32.7 years and a standard deviation of 1.8 years. What percentage of employees at Solar Systems, Inc. Are younger than 30 years old? Round your answer to the nearest tenth of a percent.
Answer:
6.7%
Step-by-step explanation:
Mean = 32.7
Standard deviation = 1.8
Percentage of employees younger Than 30 years
Obtained the Standardized age, x < 30
Z = (x - mean) / standard deviation
Z = (30 - 32.7) / 1.8
Z = - 2.7 / 1.8
Z = - 1.5
Obtain the probability :
Using a Z probability calculator or standard normal table :
P(Z < - 1.5) = 0.066807
0.066807 * 100% = 6.7%
Tom spends 30% of his monthly budget on rent. His total monthly budget is 3,000 how much does Tom spend on rent?
Answer:
Total rent= $900
Step-by-step explanation:
Giving the following information:
Total monthly budget= $3,000
Percentage of rent in the budget= 30%
To calculate the monetary value paid in rent, we need to use the following formula:
Total rent= percentage of rent paid*total monthly budget
Total rent= 0.3*3,000
Total rent= $900
can someone plz help answer this?
Please help! :D Pic is below and dont send links-
Answer:
Frogs : 7, 14, 28
Turtles : 3, 6, 12
Step-by-step explanation:
Multiply equivalently with the same multiple.
Equivalent ratios : (7 : 14) (6 : 12)
Answer:
7*2=14
14*2=28
3*2=6
6*2=12
7/3
14/6
28/12
Zac collected 4 pounds of aluminum cans. Brittney collected 1 1/3 times as many pounds as Zac. How many pounds of aluminum cans did Brittney collect? *
Answer:
5 1/3
Step-by-step explanation:
You turn 1 1/3 into an improper fraction by multiplying 3 time 1 plus 4 and you get 4/3. you multiply 4/1 time 4/3 and get 16/3. 16/3 divided by 3 = 5 with a remainder of 1 and get 5 1/3
17 cm
17 cm
8 cm
3 What is the surface area of the triangular
prism shown?
A 1,430 cm?
B 2,360 cm?
35 cm
C 2,480 cm?
D 4,200 cm
I
please help find median and mean of each data display.
Answer:
median: 60
mean:44
Step-by-step explanation:
80-20=60
30+50+80+40+20=220
220÷5=44
Describe a circumstance where there would NOT be both a positive and a negative solution, when finding the square root.
Answer:
If the value of the discriminant is equal to zero
If the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.
What is square root?The square root is the number with a power of 1/2 we can also say that by taking the square root we can find the original value of the number.
So from the condition given in the question that:-
There would NOT be both a positive and a negative solution, when finding the square root.
So if the number is zero then there will not be both a positive and a negative solution, when finding the square root.
= √0 = ± 0 = 0
Hence the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.
To know more about square roots follow
https://brainly.com/question/620307
#SPJ2
find the area of the pentagon in the diagram below.
15 square inches
20 square inches
25 square inches
28 square inches
The area of the pentagon is approximately 15 square inches.
To find the area of the pentagon, we can use the formula for the area of a regular pentagon:
Area = (5/4) * (s²) * (1/tan(π/5)),
where "s" is the length of the side of the pentagon.
Given that the sides of the pentagon are as follows:
Two smallest sides = 2 inches,
Two largest equal sides = 4 inches,
One other equal side = 3 inches.
Since the pentagon is not a regular pentagon, we need to find the area by dividing it into different shapes and then calculating their individual areas.
The pentagon can be divided into three shapes: a rectangle and two triangles.
Rectangle:
The two smallest sides (2 inches) form the length and width of the rectangle.
Area of the rectangle = Length * Width = 2 inches * 2 inches = 4 square inches.
Triangle 1:
The two largest equal sides (4 inches) and one of the 3-inch sides form a triangle.
To calculate the height (h) of the triangle, we can use the Pythagorean theorem, since it is a right triangle.
h² = (4 inches)² - (1.5 inches)², [1.5 inches is half of the 3-inch side]
h² = 16 inches² - 2.25 inches²,
h² = 13.75 inches²,
h ≈ 3.7 inches.
Area of Triangle 1 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.
Triangle 2:
The two largest equal sides (4 inches) and the other 3-inch side form another triangle.
Using the same height (3.7 inches) from Triangle 1:
Area of Triangle 2 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.
Now, to find the area of the pentagon, we add the areas of the rectangle and the two triangles:
Total Area = Area of Rectangle + Area of Triangle 1 + Area of Triangle 2
Total Area = 4 square inches + 5.55 square inches + 5.55 square inches
Total Area ≈ 15.1 square inches.
Therefore, the area of the pentagon is approximately 15.1 square inches.
To know more about area of the pentagon click here :
https://brainly.com/question/29683405
#SPJ2
What is the vertex of y=-5(x+3)^2+5
Answer:
(-3,5)
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex.
Show all work to factor x4 – 10x^2 + 9 completely.
Answer:
(x+1)(x-1)(x+3)(x-3)
Step-by-step explanation:
it is a fourth degree trinomial
1) find two number whose sum is -10 and whose product is 9
the two numbers are -1 and -9
2) write the trinomial as a multiplication in this way
(x^2-1)(x^2-9)
3) the two factors are both a difference of tho squares.
so we can rewrite it as
(x+1)(x-1)(x+3)(x-3)
Check
Consider the expression.
1. Express each exponent in expanded form:
6.6.6.6.6.6.6
6.6.6.6
6.6.6.6.6.6.6
6.6.6.6
2. Divide common factors:
What is the exponent of the simplified power?
Done
Answer:
[tex](a)\ \frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex] --- expanded form
[tex](b)\ \frac{6^7}{6^4} = 6*6*6[/tex] --- Divide common factor
(c) The exponent of the simplified power is 3
Step-by-step explanation:
The original question is:
[tex]\frac{6^7}{6^4}[/tex]
Required
- Express the exponents in expanded form
- Divide common factors
We have:
[tex]\frac{6^7}{6^4}[/tex]
In indices:
[tex]x^2 = x * x[/tex]
So, the above expression becomes:
[tex]\frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex]
Divide the common factors, to give:
[tex]\frac{6^7}{6^4} = 6*6*6[/tex]
Express as an exponent
In indices;
[tex]x * x * x = x^3[/tex]
So, we have:
[tex]\frac{6^7}{6^4} = 6^3[/tex]
The simplified power is [tex]6^3[/tex] and 3 is the exponent
The swimming pool shown is a right prism with concave hexagonal bases.... pls help
3 bottom sections:
10 x 20 = 200
5x 20 = 100
10 x 20 = 200
Bottom area = 200 + 200 + 100 = 500 square feet.
Short side: 3 x 20 = 60
Deep end wall : 6 x 20 = 120
Side wall : (24 x6) - (10x3) - (1/2 x 4x3) = 144-30-6 = 108
2 side walls: 108 x 2 = 216
Total area : 500 + 216 + 60 + 120 = 896 square feet
Divide total area by area of 1 gallon:
896/400 = 2.24 gallons
It will take 2.24 gallons of paint
A triangular prism has base edges 3 cm, 6 cm, and 7 cm long. Its lateral area is 464 cm^2. What is the height of the prism? Simplify your answer.
Answer:
A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is
300 cm2.
What is the height of the prism?
Is there sufficient evidence to conclude that people react faster to a red stimulus? Use a = 0.1.
a) For di = X - Y , what does it mean for d; to be positive? (Did they react faster to the red or blue stimuli?)
b) What is the null and alternative hypothesis?
c) What is the test statistic and p-value?
d) Should we reject the null hypothesis?
Answer:
the answer is either B or C i beloeve
Another bowler, Ryan Shafer, has a mean absolute deviation of 5. Based on the mean absolute deviation of Norm Duke, who has been the more consistent bowler?
Answer:
Ryan is a more consistent performer
Step-by-step explanation:
The complete question is
HEL 1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287
Part A: What is the mean absolute deviation of Norm Duke’s scores?
A.
7.50
B.
7.00
C.
7.25
D.
6.75
Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?
Solution
First we will find the mean deviation of Duke is 7.5
The standard deviation of Ryan is 7.0. This means that the average variation in case of Duke is higher than that of average variation of Ryan.
Hence, Ryan has been more consistent performer
El 20%de los estudiantes de un colegio que tiene 240 alumnos practican deporte ¿cuántos estudiantes practican deporte?
Answer:
20% de 240=20×240÷100= 48 practican deporte
Question and answers are in the picture
Answer:
C
Step-by-step explanation:
A x 4pi=4piA = C^2
square root both sides and here you go
hope that answers your question
A(-1,1) and P(a,b) are two points, where a and b are constants. The gradient of AP is 2. Find an expression for b in terms of a.
Answer:
b = 2a + 3
Step-by-step explanation:
Here, we want to write an expression for b in terms of a
Mathematically, the formula for the slope of a line is
m = (y2-y1)/(x2-x1)
m is 2
(x1,y1) = (-1,1)
(x2,y2) = (a,b)
Substituting these values
2 = (b-1)/(a-(-1))
2 = b-1/a + 1
2(a + 1) = b-1
2a + 2 = b- 1
2a + 2 + 1 = b
b = 2a + 3
-6x+4y=-12 in slope intercept form
The slope intercept form is y= 3/2 x - 3.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We have the Equation as
-6x + 4y= -12
As, the slope intercept form is y= mx+ b
So, 4y= -12 + 6x
y= -12/4 + 6/4x
y = -3 + 3/2x
y= 3/2 x - 3
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ2
what is 2x+4
dhfbwaehaskjbdjk.sabhdsahdiasebfsdafvasdgdsf
Answer: look at the picture
Step-by-step explanation: Hope this help :D
El diametro de rueda de esta bicicleta mide 80 cm. Si ha dado 10.000 vueltas, ¿cuantos kilimetros ha recorrido?
Answer:
Ha recorrido 8 km.
Step-by-step explanation:
Primero debes multiplicar el diámetro de la rueda por el número de vueltas que ha dado para encontrar cuánto ha recorrido:
80cm*10.000=80.000 cm
Ahora, debes convertir los 800.000 cm a km usando una regla de tres considerando que 1 km es igual a 100.000 cm:
1 km → 100.000 cm
x ← 800.000 cm
x=(800.000*1)/100.000
x=8 km
De acuerdo a esto, la respuesta es que ha recorrido 8 km.
mr. Smith took a job through an employment agency the job pay $66000 per year he must pay a fee to the employment agency the fee is 15% of his first four weeks pay how much money must Mr Smith pay the agency to the nearest cent
Answer:
761.54$
Step-by-step explanation:
Step-by-step explanation:
the answer is £761.54
if I am right plz give brainliest
Please help, I will give brainliest to whoever helps!
Answer: 0 solutions, II only, 1 solution
Step-by-step explanation:
When the first equation is factored, there are no real solutions that can be found. b^2 - 4ac has to be greater than 0 to have two solutions. x^2 + 2x + 1 is (x + 1) ^ 2, so there is one solution.
Which statements is true about figure DEF?
(I NEED HELP PLEASE)
ITS DUE TODAY
Answer:
It's on the third at the picture
Step-by-step explanation:
hope it helps make brainlliest ty the
Match the following three scenarios. Are the equations Always True, Never True, or Sometimes True?
Find the equation of the line shown
Answer:
y=x+1
Step-by-step explanation:
i hope this helps :)
Answer:
y=x+1
Step-by-step explanation:
The gradient is y2-y1:x2-x1 which is 9-1:8-0 ; for example using two points on the line. The gradient is 1, so y=x is the first thing we get. Then you will use a point that is on the line in that equation. For example: y=x, 2=1. So it cannot be like this so we have to add 1. 2=1+1, therefore y=x+1
PLEASE HELP I really need help please heplp
Answer:
im not sure but i think its A
Step-by-step explanation:
Usinf the scatter plot, select all the true statements
Answer:
1 and 5
Step-by-step explanation:
Factor the trinomial below.
x^2+4x-12
Answer:
(x+6)(x-2)
Step-by-step explanation:
using the x method, the only two numbers that multiply to get -12 and add to get 4 are 6 and -2
Answer:
(x+6)(x-2) A P E X :)