Answer:
Volume of triangular pyramid = 2,090 inch³
Step-by-step explanation:
Given:
Side height of base = 19 inch
Side length of base = 22 inch
Height of triangular pyramid = 30 inch
Find:
Volume of triangular pyramid
Computation:
Area of triangular base = (1/2)(b)(h)
Area of triangular base = (1/2)(19)(22)
Area of triangular base = 209 inch²
Volume of triangular pyramid = (1/3)(A)(h)
Volume of triangular pyramid = (1/3)(209)(30)
Volume of triangular pyramid = 209 x 10
Volume of triangular pyramid = 2,090 inch³
PLEASE HELP ME ASAP
Match the trigonometric ratios with their values based on the triangle shown in the diagram.
Giving brainliest to the best answer!!!!!
Answer:
1. y = 65
2. y = 5
i don't know the rest, sorry
How many feet are in 5 yards 1 foot?
Answer:
welp-_- in 1 yard theres 3 so..........in 5 yards there 15 feet + 1 is 16 your welcome
Step-by-step explanation:
but..................subscribe to my channel
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4. Sharlene walked 7 2/11
km to school an 2 8/11
km to the park. How many
Kilometers dild she walk in all
Answer:
9 10/11 km
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
7 2/11 km to school
Another 2 8/11 km to the park
Step 2: Find Total
Add: 9 10/11 km9 2 + 3 3 - 30 divided by 6
Answer:
117
Step-by-step explanation:
Answer:
Your answer is 120!
Step-by-step explanation:
PEMDAS
92 + 33 - 30 ÷ 6
= 92 + 33 - 5
= 125 - 5
= 120
simplify simplify please help simplify
Answer:
6i and -6i
Step-by-step explanation:
since its a negative then you have to remember to add a i
Answer:
6i
Step-by-step explanation:
PLEASE HELP LOOK AT PICTURE YOU ANSWER I GIVE BRAINLIEST
Answer:
Your answer would be 26.64cm.
A step-by-step explanation for you, peabrain:
For all four sides:
1.8cm x 2.7cm = 4.86cm
4.8cm x 4 sides = 19.44cm
For the top and bottom:
1.8cm x 1.8cm = 3.6
3.6cm x 2 sides = 7.2cm
For the complete LSA (lateral surface area):
19.44 + 7.2cm = 26.64cm
Do not forget to round, if that is in your homework instructions :-)!
Answer:
Solution given;
l=1.8cm
b=1.8cm
h=2.7cm
now
lateral surface area =2(lb+lh+bh )
=2( 1.8*1.8+1.8*2.7+1.8*2.7)
=25.92cm² is a required answer.
doesanybodyknothisplshelp
Answer:
Non- Linear and decreasing
Step-by-step explanation:
It is a non- linear line becuase it is curved. Linear lines are perfectly straight. It is a decreasing graph because you always start from the left. Starting from the left on this graph it is sloping downwards. Hope this helps :)
I'm not entirely sure what to do with this
Answer:
80
Step-by-step explanation:
It's supplementary to angle DAC.
Please Help!
Your family's new business is finally starting to get on track. You started with an investment of $20,000, but lost 10% the first year, 6% the second year, and 3$ the third year. During the fourth year, however, you gained 5%
(A) How much money did you have after the first three years?
(B) What was the cumulative decay factor after the first three years?
(C) What was the cumulative factor after the first four years? Does this factor represent decay or growth?
(D) What percent increase do you need to get during the fifth year to break even (end up with $20,000)?
Answer:
A)
$16412.40.
B)
Our culminate decay factor was 0.82062.
C)
0.861651. It represents decay because it's less than one.
D)
We need at least a 16.1% increase.
Step-by-step explanation:
We started off with $20,000. In the first year, we lost 10%. In the second year, we lost an additional 6%, and another 3% in the third year. During the fourth year, however, we regained 5%.
Part A)
In the first year, we lost 10% of our original investment. In other words, we will have left 100% - 10% or 90% of our original investment. So, after the first year, we will have:
[tex]20000(0.9)=\$ 18000[/tex]
During the second year, we lost another 6%. So, it will be 100% - 6% = 94% = 0.94 of our current investment. So, after the second year, we will have:
[tex]18000(0.94)=\$ 16920[/tex]
Finally, during the third year, we lost 3%. So, it will be 100% - 3% = 0.97 of our current investment:
[tex]16920(0.97)=\$ 16412.4[/tex]
After the first three years, our investment dwindled down to $16412.40.
Part B)
We started off with $20,000 and ended up with $16412.40. Let r represent the decay factor. We can write the following equation:
[tex]20000d=16412.4[/tex]
This reads, "our original investment of $20,000 by multiplied by some (decay) factor equals our current investment of $16412.4."
Solve for d:
[tex]\displaystyle d=\frac{16412.4}{20000}=0.82062[/tex]
So, our decay factor is 0.82062.
(Note: This means that our rate of decay was 1 - 0.82062 = 0.17938. So, we lost approximately 18% of our investment over the course of the three years.)
Part C)
After the third year, our investment was $16412.40.
During the fourth year, we gained 5% on our investment. So, it will be 100% + 5% = 105% = 1.05 of our current investment:
[tex]16412.4(1.05)=\$ 17233.02[/tex]
Again, we can write an equation:
[tex]20000d=17233.02[/tex]
Where d represents the culminative factor after four years.
Solving for d yields:
[tex]d=0.861651[/tex]
Since the culminative factor is less than one, this is decay.
Decay is also correct contextually, since after four years, our current investment is lower than our original investment.
Part D)
After the fourth year, we have $17233.02.
In order to find the percent increase to rereach $20,000, we can write an equation:
[tex]17233.02d=20000[/tex]
Solving for d yields:
[tex]\displaystyle d\approx 1.1606[/tex]
So, the growth factor is about 1.1606.
This means that during the fifth year, we will need to grow by 1 - 1.1606 or about 16.1% in order to rereach our original investment of $20,000.
A research study comparing three treatments with n= 5 in each treatment produces T1= 5, T2= 10, T3= 15, with SS1= 6, SS2= 9, SS3=9, and EX= 94. For this study, what is SSbetween
Answer:
SSbetween is 10
Step-by-step explanation:
Given the data in the question;
A research study comparing three treatments with n = 5 in each treatment produce;
that is: n₁ = 5, n₂ = 5, n₃ = 5
T₁ = 5, T₂ = 10, T₃ = 15,
SS₁ = 6, SS₂ = 9, SS₃ = 9
∑x² = 94
First, we obtain the grand total;
G = T₁ + T₂ + T₃ = 5 + 10 + 15 = 30
N = n₁ + n₂ + n₃ = 5 + 5 + 5 = 15
Total SS = ∑x² - ( G²/N )
we substitute
Total SS = 94 - ( (30)²/ 15 )
Total SS = 94 - ( 900 / 15 )
Total SS = 94 - 60
Total SS = 34
To get the SSbetween or Between SS;
Between SS = ∑( T²/n ) - ( G²/N )
Between SS = ∑( (5)²/5 + (10)²/5 + (15)²/5 ) - ( (30)²/ 15 )
Between SS = ∑( 25/5 + 100/5 + 225/5 ) - ( 900 / 15 )
Between SS = ∑( 5 + 20 + 45 ) - 60
Between SS = 70 - 60
Between SS = 10
Therefore, SSbetween is 10
An equation parallel to y = 3/2 * x - 4
Hugo competes in fishing tournaments. The following data points represent how many fish he caught in each tournament.
He earn 78.75 on his interest so
x=4
2 1/2
Members of a basketball team are reviewing their scores from the last several games. They record their point totals in the stem-and-leaf plot shown.
Use the drop-down menu below to answer the question about the stem-and-leaf plot.
Answer:
13 games
Step-by-step explanation:
Answer:
13 games
Step-by-step explanation:
How many possible lunches can be made if there are 3 choices for entree and 4 choices for drink?
Answer:
12
Step-by-step explanation:
3 entrees * 4 drinks
12 different combinations for lunch
how many liters of water does the pool need?
Answer:
c
Step-by-step explanation:
12 times 1.5 times 3.8
Given f(x) = x + 1 and g(x) = x^2, what is (g o f) (x)?
A. (g o f) (x) = x^2+x+1
B. (g o f) (x) = x^2+1
C. (g o f) (x) = (x + 1)^2
D. (g o f) (x) = x^2(x + 1)
Answer:(g o f)(x)=x^2+x+1
Step-by-step explanation:
It is Given f(x) = x + 1 and g(x) = x^2 therefore, the function (g o f) (x) is x^2 + x + 1.
What is function of functions and how are they represented?The function of function, as the name suggests, is functions applied over functions themselves. This is also called function composition.
We have input. We apply one function on that input. Then we apply another function on the output obtained by the first function. This whole function application on the first input is called the function of functions.
The resultant function which maps the input x to the final output is called the function of a function.
If the first function is g( and the other function is f, then we can write the resultant function of the function as
[tex](f\circ g)(x)[/tex]
where the x is the input to the first function.
Thus, we have;
[tex](f\circ g)(x) = f(g(x))[/tex]
It is Given f(x) = x + 1 and g(x) = x^2, we need to find (g o f) (x)
(g o f)(x) = g(x) + f(x)
= x^2 + x + 1
Learn more about x-intercept here:
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(Algebra) Can anybody help me with this please and thank you
Find the Area of the circle. Round your answer to the nearest hundredth.
Diameter is 3in.
Answer:
A = 7.07
Step-by-step explanation:
A = pi 1.5^2
A = pi 2.25
A = 7.07
Need help asapp plss
Answer:
I think a is the answer
Step-by-step explanation:
........?.......?
Here is a cuboid
5cm
5cm
Assume that the total surface area of the cuboid is 200cm2
Work out the volume of the cuboid
Answer:
144.352
Step-by-step explanation:
Answer:
187.5
Step-by-step explanation:
200 - 2 X 5 x 5 = 50
200-50 = 150
150/4 = 37.5 x 5 = 187.5 - hope this helps
The circumference of the hub cap of a tire is 75.74 centimeters. Find the area of this hub cap. Use 3.14 for PI. Use pencil and paper. If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap.
Answer:
hcbhvhchgcvgfbvvhhs
Step-by-step explanation:
cbhchchfvhvhshc;h
Answer:
456.73 cm²
Step-by-step explanation:
Area of a circle = πr²
The radius of the hub cap
= 75.74÷3.14÷2
= 12.06 cm (rounded to the nearest hundredth)
The area of the hub cap
= 3.14 × 12.06²
= 456.7314968152...
= 456.73 cm² (rounded to the nearest hundredth)
Circumference means the perimeter of a circle. So if the perimeter of a shape is smaller, it makes the shape turn out to be smaller.
So the area of the hub cap will be smaller.
8(a-2)-(a-9)
4(r-9s)+6(r+2s)
hi the answer is I have no clue sorryyyy
Answer:
yea id k the answer idek the question g
Step-by-step explanation:
please help me!!! i’ll mark you as brainliest
Answer:
[tex]\angle 1+\angle 5 = 90[/tex]
Step-by-step explanation:
Given
The attached plot
Required
Prove that:
[tex]\angle 1+\angle 5 = 90[/tex] --- right angle
From the plot, we have:
[tex]\angle 1+\angle 2 + \angle 3+\angle 4+\angle 5 = 360[/tex] --- angle at a point
[tex]\angle 2+\angle 3 = 180[/tex] --- straight line
[tex]\angle 4 = 90[/tex] --- This divides [tex]\angle 2 + \angle 3[/tex] to equal parts
So, we have:
[tex]\angle 1+\angle 2 + \angle 3+\angle 4+\angle 5 = 360[/tex]
[tex]\angle 1+ (\angle 2 + \angle 3) +(\angle 4)+\angle 5 = 360[/tex]
This gives:
[tex]\angle 1+ 180 +90+\angle 5 = 360[/tex]
[tex]\angle 1+ 270+\angle 5 = 360[/tex]
Collect like terms
[tex]\angle 1+\angle 5 = 360-270[/tex]
[tex]\angle 1+\angle 5 = 90[/tex] --- proved
Do the sides 4, 5, and 6 form a Pythagorean Triple?
Answer:
They do not form a Pythagorean Triple.
If it was a Triple, 4^2+5^2 should equal 6^2.
4^2+5^2=16+25=41
6^2=36
41≠26
It doesn't work, therefore it is not a Pythagorean Triple.
Answer:
no
Step-by-step explanation:
A pythagorean triple is only formed by 3 sides
a car with 12 gallons of gasoline drives 321 miles until the tank is empty.
write a linear equation that describes the amount of gas left in the car,y,after driving x miles
(type the answer in slope intercept form)
use integers or simplified fractions for any number I the expression
Answer:
[tex]y = - \frac{4x}{107} + 12[/tex]
Step-by-step explanation:
You start with 12 gallons, and for every mile that you drive, you will deplete [tex]\frac{1}{321}[/tex] of your total amount of gas, or [tex]\frac{12}{321} = \frac{4}{107}[/tex] gallons of gas for every mile you drive. Thus, for every x miles you drive, you'll deplete [tex]\frac{4x}{107}[/tex] miles. Subtract that from 12 to get your final answer.
[tex] \frac{12 \times x}{321} [/tex]
A right angle triangle has sides whose lengths are $2$-digit integers. The digits of the length of the hypotenuse are the reverse of the digits of the length of one of the other sides. Determine the smallest possible length of the hypotenuse.
Answer:
Smallest possible length of the hypotenuse = 65
Step-by-step explanation:
Given - A right angle triangle has sides whose lengths are $2$-digit integers. The digits of the length of the hypotenuse are the reverse of the digits of the length of one of the other sides.
To find - Determine the smallest possible length of the hypotenuse.
Proof -
The possible Pythagoras triplets of a right angled triangle with 2 digit integers are -
(11, 60, 61)
(12, 35, 34)
(13, 84, 85)
(16, 63, 65)
(20, 21, 29)
(28, 45, 53)
(33, 56, 65)
( 36, 77, 85)
(39, 80, 89)
(48, 55, 73)
(65, 72, 97)
But, Here Given that
The digits of the length of the hypotenuse are the reverse of the digits of the length of one of the other sides.
So, There is only one possibility that satisfy the condition.
and that is, (33, 56, 65)
So, we get
Length of one side = 33
Length of second side = 56
Length of hypotenuse = 65
So,
Smallest possible length of the hypotenuse = 65
percentage of 0.492?
Answer: 49.2%
Step-by-step explanation:0.492×100%
= 49.2%
How to convert decimal to percent
1 = 100%
The value V% in percent (%) is equal to the decimal value Vd times 100%:
V% = Vd × 100%
Examples
0.01 = 0.01 × 100% = 1%
0.05 = 0.05 × 100% = 5%
0.3 = 0.3 × 100% = 30%
0.35 = 0.35 × 100% = 35%
3.5 = 3.5 × 100% = 350%
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Is 4x+2y=20 and y= -2 + 10 equavilent?
Answer:
yes, they are equivalent
Step-by-step explanation:
solve the first equation for 'y' by subtracting 4x from each side, then dividing each side by 2
2y = -4x + 20
y = -2x + 10