The volume of the pyramid is 23.375 ft^3.
We have,
Volume = (1/3) * Base Area * Height
In this case, the base of the pyramid is a square, and the perimeter of the base is given as 10.7 ft.
The perimeter of a square is equal to 4 times the length of one side.
Let's denote the length of one side of the square base as s.
And,
4s = 10.7
Solving for s:
s = 10.7 / 4 = 2.675 ft
Base Area = s^2
Plugging in the value of s:
Base Area = (2.675 ft)^2 = 7.156 ft^2
Now,
Volume = (1/3) * Base Area * Height
Volume = (1/3) * 7.156 ft^2 * 9.8 ft
Volume = 23.375ft^3 (rounded to six decimal places)
Therefore,
The volume of the pyramid is 23.375 ft^3.
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For each sentence, drag a word that will make the statement true.
Words may be used once or more than once.
always returned to choices list.
sometimesalwaysnever
Equilateral triangles are
acute triangles.
Scalene triangles are
acute triangles.
Right triangles are
acute triangles.
Obtuse triangles are
isosceles triangles.
Answer:
Equilateral triangles are always acute triangles.
Scalene triangles are sometimes acute triangles.
Right triangles are never acute triangles.
Obtuse triangles are sometimes isosceles triangles.
Step-by-step explanation:
Equilateral triangles are always acute because each angle is 60⁰.
Scalene triangles have sides that are different lengths. They can be right, obtuse, or acute.
A right triangle is never acute because it has a 90⁰ angle. Acute means all angles are less than 90⁰.
An obtuse triangle can be either scalene or isosceles. It always has one angle greater than 90⁰ (obtuse).
Plz help meeeeee…. I need to pass this
30 + = 45
А
15
в 3,045
с
14
D
60
Answer: 15=45
Step-by-step explanation:30+15=45=15
Answer:
A.15
Step-by-step explanation:
30+15=45
Work out the size of the angle X.
Give your answer correct to 3 significant figures.
Step-by-step explanation:
Recall the Ratio for tan
Tan(theta) = opposite / adjacent
Tan (x) = 9 / 5
solve for x (use Tan^-1(...) )
Answer:
Step-by-step explanation:
take x as reference angle
using tan rule
tan x=opposite/adjacent
tan x=9/5
tan x=1.8
x=tan 61 degree
x=61 degree
for remaining angle
remaining angle+90+61=180 degree(being sum of interior angle of a triangle)
remaining angle=180-151
remaining angle=29 degree
Unit l2 trigonometry homework 6 law of cosines
Does anyone know the answer please help!
Step-by-step explanation:
The law of cosine states that:
[tex]C^2=B^2+A^2-2AB\cos(\theta)[/tex], where C is the side opposite of angle theta, and A and B are the adjacent sides of the angle.
In this case, A is equal to 21, and B is equal to 30 (or it could also be the other way around). That means that:
[tex]C^2=21^2+30^2-2\cdot21\cdot30\cos(73)\\C=\sqrt{21^2+30^2-2\cdot21\cdot30\cos(73)}=\boxed{31.186722}[/tex] (to nearest 6 digits)
Answer:
102.61
Step-by-step explanation:
assuming that QS is the hypothesis we us the fromula like this:
[tex]30cos(73)[/tex]
which gives us 8.7711511417 or we can round to 8.77
assuming that QS is the adjacent we use:
[tex]\frac{30}{cos(73)}[/tex]
which gives us 102.609108595 or rounded to 102.61
looking at both answers we can see that 102.61 would be the correct answer.
14 In a book, 98% of the pages contain text, diagrams on both. If 88% of the pages
contain text and 32% contain diagrams, what percentage contain
a.neither text nor diagrams
b. only diagrams
c.only text
d.both text and diagrams?
Answer:
2%
10%
66%
22%
Step-by-step explanation:
For the first one we just need to find the compliment of the union (.98) which is .02
Union formula:
A∪B=A+B-A∩B
We will let T= text and D= diagram
we know that
.98=.88+.32-T∩D
Solve and find that T∩D= .22
Only diagram: .32-.22= .1
Only text: .88-.22= .66
Text and diagrams is the intersection we found earlier or .22
Help please I need this right now
Answer:
the first one
Step-by-step explanation:
if you simplify 10/2 it is 5. there is already a 5 as an x value, so that means this isn't a function.
Can someone help this
Answer:
Step-by-step explanation:
The common factor is the largest number that goes into both of those numbers evenly. We do this by finding the prime factorization of each:
25: 5,5
35: 5,7
The common number to both is 5, so 5 is the common factor of both the numerator and denominator.
I need some help what is 1000 x 3.67 and with explaining thank you so much
Answer:
3670
Step-by-step explanation:
In 1000, there are 3 zeroes
So when multiplying by 3.67(or 3.670), you just move the decimal 3 places to the right
3.670 =36.70 = 367.0 = 3670.
If my answer is incorrect, pls correct me!
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-Chetan K
Plz help me this is my last one and I’ll mark as brainliesttt!!
Answer:
That the object is moving
as time goes by the distant goes lower
Step-by-step explanation:
I think
Answer:
the object is moving forward with decreasing speed.
Step-by-step explanation:
PLEASE HELP, WILL GIVE BRAINLIEST
no links pls, i really need help
Answer:
4 units to the right
Step-by-step explanation:
the bigger units subtracted by the smaller units and the direction it is going
Answer:
I'm pretty sure the answer is D because a net force can't be just balanced to one side if there are two different forces, I hope this helps.
Step-by-step explanation:
Maria wants to huy some coffe mugs and plastic plates. The total cost of five coffe mugs and four plastic olayed is $28 and tge total cost of two coffe mugs and two plastic olates is $12 Write a system of equations and ise it to determine the cost of one coffe mug
Answer:
$4
Step-by-step explanation:
5c + 4p=28 equation 1
2c + 2p=12 equation 2
-2(2c +2p)=-2(12) multiply equation 2 by -2 so you can solve by elimination.
-4c-4p=-24 equation 2 multiplied by -2
5c+4p=28. Equation 1
c=4 added above 2 equations
solve for plates:
2c + 2p=12
2(4)+ 2p=12
8+2p=12
2p=4
p=2
check answer:
5c+4p=28. Equation 1
5(4)+4(2)=28
20+8=28
28=28
WILL MARK BRAINLIEST!
Answer:
1996 and 2000
Step-by-step explanation:
Since P (the population) is represented in thousands, 8000 will be represented by 8.
Plug in 8 as P and solve for t:
P = 2|t - 8| + 4
8 = 2|t - 8| + 4
4 = 2|t - 8|
2 = |t - 8|
Separate this into 2 possible cases:
2 = t - 8 and -2 = t - 8
Solve:
2 = t - 8
10 = t
-2 = t - 8
6 = t
So, the answers are 6 and 10.
The town will have a population of 8000 in 1996 and 2000
Find the perimeter and Area of the rectangle
Answer:
p is 5 by 7 the a is 3 by 6
Step-by-step explanation:
Which situation can be represented by the equation y = 25x + 50?
A. A repairman charges $25 to come to the house and $50 for each hour he works.
B. Tom pays $25 a month for a health club membership. He also had to pay a $50 registration fee.
C. Sally has $25 in her savings account. She plans on depositing $50 from each of her paychecks into her account.
D. A school store started the year with 25 pencils. Each month they added 50 more to their inventory.
Steven has 17 baseball caps. He has 2 blue caps and he has 3 more green caps than blue ones. The rest of his caps are black.
How many black caps does Steven have?
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
[tex] \sqrt{8 {}^{4} } [/tex]
Answer:
64 will be your answer!!
Step-by-step explanation:
hope it helps..
Thanks again!!
You pick a card at random. Without putting the first card back, you pick a second card at
random.
3 4 5 6
What is the probability of picking a 5 and then picking a 3?
Write your answer as a fraction or whole number.
Answer:
4
Step-by-step explanation:
Shannon rolls two number cubes, each numbered one through six. She observes the numbers facing up on each number cube and finds the total of the two numbers. What is the probability the total will be 5?
starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12).
The probability the sum total will be 5 is 4/36.
What is probability?"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one".
For the given situation,
The sample space for rolling two 6 sided cube is
s ={
[tex](1,1), (1,2), (1,3), (1,4), (1,5), (1,6)\\(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)\\(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)\\(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)\\(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)\\(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)[/tex] }
⇒ [tex]n(s)=36[/tex]
The event is getting the probability that the sum total will be 5.
e = { [tex](1,4), (2,3), (3,2), (4,1)[/tex] }
⇒ [tex]n(e)=4[/tex]
Thus the probability that the sum total will be 5 is
[tex]P(e)=\frac{n(e)}{n(s)} \\[/tex]
⇒ [tex]P(e)=\frac{4}{36}[/tex]
Hence we can conclude that the probability the sum total will be 5 is 4/36.
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19. Linton's rectangular garden is 5 3/4 feet long and 4 1/2 feet wide. What is the area of the garden?
Answer:
20 1/4
Step-by-step explanation:
since 4 1/2 we need to change the denominator 1/2 x 2 = 2/4 now multiply
4 2/4 x 5 3/4 = 20 1/4
An isosceles triangle has an angle that measures 92°. Which other angles could be in that isosceles triangle? Choose all that apply.
Answer:
92
Step-by-step explanation:
an iscosolice triagle is a triangle with the sam lenghth on both sides
which statement is not true about the absolute value of -6?
Answer:
first statement
Step-by-step explanation:
The absolute value of - 6 is | - 6 | = | 6 | = 6
The absolute value is always positive as it is a measure of the distance from the origin to - 6 and distance is always positive.
It is not the distance between 6 and - 6 on the number line.
How can you determine the distance between any two points on an axis
by using their distances from the origin?
DUE
NOW ⚠️
Answer:
d=√((x_2-x_1)²+(y_2-y_1)²)
Step-by-step explanation:
which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points
Catherine owns a bakery. She takes x minutes to bake a tray of cookies. The time it takes
is less than 18 minutes. Which inequality represents this?
A. 18 > x
B. x = 18
C. X > 18
D. 18.< x
Praise put some money into an account paying 4.5% compounded continuously for 10 year
She now has $3567.91 in the account. How much money did she start the account with?
Answer: [tex]\$2297.47[/tex]
Step-by-step explanation:
Given
Rate of interest [tex]r=4.5\%[/tex]
time period [tex]t=10\ year[/tex]
Amount [tex]A=\$3567.91[/tex]
Amount in compound interest is given by
[tex]\Rightarrow A=P[1+r\%]^t[/tex]
where, [tex]P=\text{Principal}[/tex]
Insert the values
[tex]\Rightarrow 3567.91=P[1+0.045]^{10}\\\\\Rightarrow P=\dfrac{3567.91}{1.5529}\\\\\Rightarrow P=\$2297.47[/tex]
So, Praise starts with [tex]\$2297.47[/tex]
a centre seat costs 25£ less than an aisle or window seat. A window or aisle seat costs a and a centre seat costs £271.complete the equation that describes this. how much does an aisle or window costs?
Answer:
246
Step-by-step explanation:
271-25=246
Use the graph to identify whether there is linear association, nonlinear association, or no association.
Answer: linear
Step-by-step explanation
Answer:
first option
Step-by-step explanation:
have a good day
SOMEONE HELPPPPP PLEASEEEE
Answer:
Sin(L) = [tex]\frac{5}{14}[/tex]
Step-by-step explanation:
Sin = [tex]\frac{opposite}{hypotenuse}[/tex] (regarding the angle given)
Sin(L) = [tex]\frac{5}{14}[/tex]
Hope this helps!
Answer:
5/7
Step-by-step explanation:
sin=opposite side/hypotenuse
=10/14(simplify it)
=5/7
Choose the inequality that represents the following graph.
How would you "say" the image on the right?
A.) Prime A, B, C, and D
B.) A prime, B prime, C prime, D prime
Answer:
a
Step-by-step explanation:
prime abc and d
hope this helps