The base of a triangular pyramid is 21 inches squared. The volume is 63 inches cubed. What is the height of the pyramid?
Answer:
9
Step-by-step explanation:
So the formula for a triangular pyramid is v=1/3bh
you plug in the values and you get 63=1/3(21)(h) and since you are finding the height, you get h=63*3/21
and then you check answers with
63=1/3(21)(9) which is true so the height is 9
Which Quadrilateral might have sides measuring 3” 5” 8” and 6”?
Answer: a parallelogram
Write 200 as a product of primes.
Use index notation when giving your answer.
Answer:
Step-by-step explanation:
The prime factorization of 200 is as follows: 200 = 2 × 2 × 2 × 5 × 5.
The prime factorization of 200 will be equal to 2 × 2 × 2 × 5 × 5 or 2³ × 5².
It is given that a number is 200.
We have to find out the prime factorization of 200.
What do you mean by prime factorization ?
Prime factorization is a way to find the prime factors of a number, such that the original number is evenly divisible by the prime numbers.
As per the question ;
The given number is 200.
We have to find the prime factors of 200.
This meant to find out the prime numbers we should multiply together to make the original number which is 200.
So ;
200
= 2 × 100
= 2 × 2 × 50
= 2 × 2 × 5 × 10
= 2 × 2 × 2 × 5 × 5
or
= 2³ × 5²
Thus , the prime factorization of 200 will be equal to 2 × 2 × 2 × 5 × 5 or 2³ × 5².
To learn more about prime factorization click here ;
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100% of what number is 27? Provide an exact fraction answer
Answer:
Your answer is 27
I hope I helped, would appreciate brainliest! ;)
Step-by-step explanation:
'Percent (%)' means 'out of one hundred':
27% = 27 'out of one hundred',
p% is read p 'percent',
27% = 27/100 = 27 ÷ 100
Calculate percentage:
'Percentage' is obtained by multiplying 100 by 27%
27% of 100 is equivalent to multiplying them:
27% × 100 = ?
27% × 100 =
(27 ÷ 100) × 100 =
(27 × 100) ÷ 100 =
2,700 ÷ 100 =
27
Proof.
How do we check the result?
If 27% × 100 = 27 =>
Divide 27 by 100...
... And see if we get as a result: 27%
Note:
100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100,
... and its value doesn't change.
n/100 = n%, any number.
Calculate the percent value:
27 ÷ 100 =
0.27 =
0.27 × 100/100 =
(0.27 × 100)/100 =
27/100 =
27%
So we have proved that the calculations are correct.
Answer:
Percentage of
27% of 100 = 27
Answer:
27%
Convert fraction (ratio) 27 / 100 Answer: 27%
To create a pattern with Legos, Jerry uses 5 green Legos for every 3 blue Legos. If he used 35 green Legos in the pattern, what is the TOTAL amount of Legos he used?
A.43 legos in all
B.8 legos in all
C.56 legos in all
D.21 legos in all
Answer:
56 legos in all
Step-by-step explanation:
35/5=7
7*3=21
21+35=56
Answer:
well i have legos in rl so i think the answer is C. or 56 legos in all
Step-by-step explanation:
The awnser to a multiplication problem
Answer:
where is the problem?
Step-by-step explanation:
where
What do you call an alligator in a vest?
Answer:
An InVESTtigator
Step-by-step explanation:
I've heard this before
Answer:
An Investigator.
Please give me the correct answer.Only answer if you're very good at math.Please don't use a link to a website.
Answer:
6 is the answer for your box :) Double checked :)
Step-by-step explanation:
25.12 = 1/3(12.56h)
multiply both sides by 3 to get rid of the fraction
75.36 = 12.56h
divide both sides by 12.56
6 = h
h = 6
Answer:
h = 6
Step-by-step explanation:
25.12=12.56/3 h
25.12 x (3/12.56) = h
h = 6
Prove \triangle ABE\cong\triangle ACE△ABE≅△ACE. Be sure to state any congruencies and the criteria used to determine them.
Answer:
The answer is below
Step-by-step explanation:
Two triangles are congruent if they have the same shape and their corresponding sides are equal to each other.
1) AB = DC, BE = CE (given)
2) ∠AEB≅∠DEC (vertical angles are congruent)
3) ΔABE ≅ ΔACE (side angle side congruence theorem)
If the two sides and an included angle of one triangle is equal to two sides and one included angle of another triangle, then the two triangles are congruent by SAS congruence theorem.
Simplify the expression: (1 + p)(8)
Answer: Not 100% sure but I think it is p=7
Answer:
8+8p
Step-by-step explanation:
you use distributive property! Multiply 8 by 1 and 8 by p and add it!
(1+p)8
8+8p
Expand using suitable identity ( 3u + 5v )∧3
Answer:
Use symbolab
Step-by-step explanation:
Which number line shows the solution to the inequality n + 6 < 4?
Answer:
D) The very last one
Step-by-step explanation:
n + 6 < 4
n < -2
< means it's an open circle and goes in the LEFT direction
WILL GIVE BRAINLIEST!!
(LOOK AT PHOTO)
Answer:
Five less than the number than....... 8/n - 5 +7
Eight more than the product........ 8 +7n - 2
Five times the sum..... 5(n+7)
Twice the difference.... 2 (8-n)
Answer:
Blue:
[tex] \frac{8}{n} - 5 + 7[/tex]
Green:
[tex]8 + 7n - 2[/tex]
Orange:
[tex]5(n + 7)[/tex]
Purple:
[tex]2(8 - n)[/tex]
An architect is making a plan for a new circular playground. If the playground needs to be surrounded by a fence and the diameter of the playground is 25 meters, how much fencing needs to go up?
Answer:
78.54 m
Step-by-step explanation:
To obtain how much circular fence, we obtain the Circumference of the circular playground.
The Circumference of a circle, C = 2*pi*r
pi = 3.14 ; r = diameter / 2 = 25 /2 = 12.5 m
C = 2 * 3.14 * 12.5
C = 78.539816
Hence, the fencing which need to go up is ;
78.54 m
The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.
Answer:
59.85
Step-by-step explanation:
The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 70
σ is the population standard deviation = 7
z = -1.45
Hence:
-1.45 = x - 70/7
Cross Multiply
-1.45 × 7 = x - 70
-10.15 = x - 70
x = -10.15 + 70
x = 59.85
what is the answer I don't know how to solve this
help plz its worth 100 points
Answer:
Step-by-step explanation:
hi, use y=mx+b to help solve
the equation is y= 6x+30, 6 being the cost per t-shirt and 30 being the fee
substitute x for the values on the left in the table. for example, y=0x+30 would give the total cost of 0 t-shirts 30 dollars
for some reson i cant see it
What is the length of the midsegment DE? (Round to the nearest tenth, if necessary) SOMEONE PLEASE BRO HELP ME OUT
Answer:
10.6 i think
Step-by-step explanation:
i think it's 10.6 because 18.9-8.3=10.6
Answer:
The midsegment is 13.6
Step-by-step explanation:
To calculate the mid segment, find the average of the two bases.
[tex]\frac{8.3+18.9}{2} =\frac{68}{5}=13.6[/tex]
CAN SOMEONE PLEASE GELP ME?
Answer:
1 ) 140
2) 60
Step-by-step explanation:
1. It touches the y intercept at 140 and 0 in the x axis so 140
NOTE : THE NUMBER THE TOUCHES THE Y INTERCCEPT IS ALWAYS THE ANSWER/ IT GOES DOWN 3 ACROSS 3 SO IT AND U WILL SEE IF IT TOUCHES THE Y INTERCEPT IT WILL BE 140
2. it goes from 140 to 200 just subtract them to get how much she gets
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
What is the correct answer?
Answer:
C. [tex]\sqrt{3x^2+21x}[/tex]
Step-by-step explanation:
When one multiplies two radicles, one multiplies each term in the radical by the term in the other radical, then one simplifies the result and puts the radical sign over the result. If there are any perfect squares one will take the terms out. In this scenario, such is not the case.
[tex]\sqrt{3x}*\sqrt{x+7}\\\\\sqrt{3x(x+7)}\\\\\sqrt{3x^2+21x}[/tex]
Marty has a driveway that is 200 feet long. The tires on her car have a diameter of 18 inches. What is the fewest number of tire rotations a tire will make tot travel the entire distance of the driveway?
The the fewest number of tire rotations is 42 to travel the entire distance of the driveway.
It is given that the driveway that is 200 feet long and the tire diameter is 18 inches.
It is required to find the fewest number of tire rotations a tire will make to travel the entire distance of the driveway.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
Driveway length = 200 feet
Diameter of the tire = 10 inches
For converting it to feet divide by 12.
Now the diameter of tire = 18/12 = 1.5 feet
Radius of the tire = 0.75 feet
We know the perimeter of the circle:
[tex]\rm P = 2\pi r[/tex]
P = 2(π)(0.75)
P = 4.71 feet ( π =3.14 and P = 0.75)
[tex]\rm number \ of \ tire \ rotations = \frac{Driveway \ length}{Perimeter \ of tire}[/tex]
[tex]= \frac{200}{4.71}[/tex]
Number of tire rotation = 42.462 ≈ 42
Thus, the the fewest number of tire rotations is 42 to travel the entire distance of the driveway.
Learn more about circle here:
brainly.com/question/11833983
There are 15 counters. One-third of the counters are yellow. How many
counters are yellow? *
Answer:
3
Step-by-step explanation:
15*1/5= 3
The points (-1,r) and (11, -1) lie on a line with slope -3/4
Find the missing coordinate r.
Answer:
8
Step-by-step explanation:
y = (-3/4)x + c
Sub (11,-1) into the equtaion
-1 = (-3/4)(11) + c
c = 29/4
y = (-3/4)x + 29/4
when x = -1,
y = (-3/4)(-1) + 29/4
y = 8
r = 8
If y = x² + 2x + 3, find the value of y when x = -1
Answer:
y = 2
Step-by-step explanation:
Given
y = x² + 2x + 3 ← substitute x = - 1
y = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2
Type your answer in the box provided. Make sure to use complete sentences.
Real World: Choose ONE of the following quadratic equations to solve. State your method of solving, giving your reasoning for why you chose that method. Show all work, and put your final answers in context.
A person walking across a bridge accidentally drops an orange into the river below from a height of 140 ft. The equation 0=−x2+7x+18 gives the relationship between how many seconds, x, have passed when the orange hits the water. In how many seconds will the orange hit the water?
A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?
Things you MUST include: (1 point each for a total of 5 points)
Method of solving the quadratic.
Reasoning for choosing this method.
All work to solve the quadratic equation.
The two mathematical answers to the equation.
The answer to the question asked, based on which answer is reasonable.
You may either type your answer in the text box below OR upload a file, picture, or scan of handwritten answers. All files should be saved using the following template: "Last Name_First Name_Assignment Name_Question Number." Refer to Orientation for help with file uploads.
Answer:
A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?
Step-by-step explanation:
h = -16t^2 + 80 Stick hits the ground when h = 0:
0 = -16t^2 + 80
16t^2 = 80
t^2 = 80/16 = 5
t = POSITIVE root 5 (due to the real world nature of the problem)
t approximately 2.236 seconds.
========================================
Graph is a downward opening parabola with h-intercept of 80, t-intercept(s) of sqrt(5), - sqrt(5)
Symmetric about h-axis, though I would only graph on the right side of the h-axis since
that is where t >= 0.
Please when answering show your full work. Step-by-step process.
what's x + y
[tex] {x}^{2} + {y}^{2} + 2xy = 9[/tex]
Answer:
the awnser is 10 and 1/x+ 1/y is = 5/12
A 22.5 cm straw fits diagonally inside an 18 cm high can of soft drink what is the radius of the can
Answer:
6.75cm
Step-by-step explanation:
The straw fits diagonally inside the can so it makes a right angled triangle with height and base of the can ( which is the diameter of the can)
So, hypotenuse = length of straw = 22.5cm
perpendicular = 18cm
base = diameter of can(d)
Using pythagoras theorem
h² = p² + b²
(22.5)² = 18² + d²
506.25 = 324 + d²
d² = 506.25 - 324
d² = 182.25
d = 13.5cm
Now radius = d/2 = 13.5/2 = 6.75cm
Solve the following equation using the quadratic formula.
2x² + 5x – 42 = 0
Select all solutions that apply.
x = 1.5
x= -4
OX= 3.5
x = -6
Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2.
Answer:
[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]
Step-by-step explanation:
Given
[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex] -- Missing from the question
Required
The behavior of the function around its vertical asymptote at [tex]x = -2[/tex]
[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex]
Expand the numerator
[tex]p(x) = \frac{x^2 + x -3x - 3}{x+2}[/tex]
Factorize
[tex]p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}[/tex]
Factor out x + 1
[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]
We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)
We are only interested in the sign of the result
----------------------------------------------------------------------------------------------------------
As x approaches -2 implies that:
[tex]x -> -2^{-}[/tex] Say x = -3
[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]
[tex]p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12[/tex]
We have a negative value (-12); This will be called negative infinity
This implies that as x approaches -2, p(x) approaches negative infinity
[tex]x->-2^{-}, p(x)->-\infty[/tex]
Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)
As x leaves -2 implies that: [tex]x>-2[/tex]
Say x = -2.1
[tex]p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1[/tex]
We have a negative value (-56.1); This will be called negative infinity
This implies that as x leaves -2, p(x) approaches negative infinity
[tex]x->-2^{+}, p(x)->-\infty[/tex]
So, the behavior is:
[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]