Answers
Answer:
a) See below
b) [tex]\huge\boxed{\sf Area\ of\ each\ triangle = 62.4\ in.\²}[/tex]
c) [tex]\huge\boxed{\sf Area\ of\ the\ table = 374.4\ in.\²}[/tex]
Step-by-step explanation:
Part A:
We can draw 3 lines from A to D, B to E and F to C such that all of the lines pass from the center. This will form 6 equal (congruent) triangles.
[tex]\rule[225]{225}{2}[/tex]
Part B:
Area of each triangle = 1/2 (Base)(Height)
Where Base = 12 in. and Height = 10.4 in.
Area = 1/2 (12) (10.4)
Area = 6 (10.4)
Area of each triangle = 62.4 in.²
[tex]\rule[225]{225}{2}[/tex]
Part C:
Since the table is mage up of 6 equal triangles:
So,
Area of the table = 6 (Area of each triangle)
Area of the table = 6 (62.4)
Area of the table = 374.4 in.²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Related Questions
My mum is 29 and my dad is 36.What is thr difference in their ages
Answers
Answer:
7
Step-by-step explanation:
differnece = subtraction
36-29 = 7
Hope this helps plz hit the crown :D
Answer:
seven
Step-by-step explanation:
36 - 29 = 7
unless their birthday months are something like:
mom - 3rd of may
father - 8 of november
then technically it's 6 years and a few months but it's not that deep haha
GIVEING BRAINLIST PLZ HELP On the number line, a point was moved from -7 to -3. Which of the following problems describes this move?
-7 + 3 = -4
-7 - 4 = -3
-7 - 3 = -10
-7 + 4 = -3
Answers
Answer:
c
Step-by-step explanation:
A= P(1 + rt)
A= P+rt
A - P= rt
r= (A- P)/t
Explain the algebraic error in the student's work.
Then, state how the equation r = (A- P)/t can be
modified to produce the correct result.
Answers
So, to solve for r correctly:
A=P(1+rt)
A=P+Prt
A-P=Prt
r=(A-P)/Pt
1. What is the goal of factoring a quadractic?
2. What is the discriminant?
3. What is meant by completing a square?
Answers
Answer:
Completing the square on a quadratic equation in standard form results in the quadratic formula, which expresses the solutions in terms of a, b, and c. Solutions to problems that can be expressed in terms of quadratic equations were known as early as 2000 BC. Because the quadratic equation involves only one unknown, it is called " univariate "
Step-by-step explanation:
i need help filling the boxes
please i need it asap
Answers
Answer:
m = 3/2
b = 0
y = 3/2x
Step-by-step explanation:
M is the slope, which is the rise/run of a line.
Using this, we know m is 3/2.
B is the y-intercept, which is where the line crosses the y-axis. In this case, B equals 0.
We use this information to put together our final equation of y= 3/2x (since B equals 0, there is no + or - after the slope)
PLEASE HELP ME I NEED AN ANSWER FAST PLEASE THANK YOU
Answers
Answer:
your answer will be $29.
1 LB= $4
4 Oz = $1
Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
O
-5
+
4
-4
+
5
-3
-2
-1
0
1
2
3
+
-4
+
-3
+
-1
-5
+
1
+
2
-2
O
3
4.
5
.
O
+
+
o
-3
+
-1
+
1
-2
+
2
+
3
+
4
-4
-5
+
5
O
O
6
-5
-4
-3
-2
-1
0
1
2
3
4
5
Answers
The inequality equation is x > 3 and the graph is plotted
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
3(8 - 4x) < 6(x - 5)
24 - 12x < 6x - 30 (Distributive property)
Adding 30 and 12x on both sides , we get
24 + 30 < 6x + 12x
On further simplification , we get
54 < 18x
Divide by 18 on both sides , we get
x > 3
Hence , the inequality is x > 3
To learn more about inequality equations click :
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which graph passes the vertical line test
Answers
Answer:
c
Step-by-step explanation:
Answer:
The 3rd graph
Step-by-step explanation:
a squirrel burrowed 12 holes in 3 minutes how many holes could the squirrel burrow in 12 minutes
Answers
Answer:
12 x 3 = 36
Step-by-step explanation:
So it’s 36
Answer:
48 holes
Step-by-step explanation:
find the unit rate, 12 holes in 3 minutes means 4 holes in 1 minute. to find how many holes in 12 minutes, multiply 4 by 12, you will get 48.
write an equation for the line passing through the points (3,-6) and (-9,-6) y=mx+b format.
Answers
Answer:
y=-6
Step-by-step explanation:
First, find the slope of the two coordinates using the slope formula:
Slope formula: y2-y1/x2-x1
Plug the numbers into the formula and solve:
-6--6/-9-3 = 0
Now,use the slope and one of the coordinates to put the line in point-slope form
Point slope: y-y1=m(x-x1)
y+6=0(x-3)
Simplify
y+6=0-0
y=-6
Help pleaseeee cxxxcxx
Answers
Answer:
no. I'm pretty sure it's not
Sandra runs a race which is 7.5 kilometers. How many miles does Sandra run in this race?
Answers
Answer:
4.66028 miles
Step-by-step explanation:
If a crew of 6 workers completes a job in 15 hours, how long will it take 10 workers to complete the same job?
Let x be the number of hours that 10 workers need to complete the job.
Answers
Answer:
here, hope this helped. <33
Step-by-step explanation:
Can you help me with this math problem? Im having a hard time with it, if you can explain it too that would help a lot. attachment below
Answers
Answer:
[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
Thus, the equivalent expression is: [tex]\frac{1}{24^3}[/tex]
Step-by-step explanation:
Given the expression
[tex]3^{-3}\cdot 8^{-3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=8^{-3}\cdot \frac{1}{3^3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\frac{1}{3^3}\cdot \frac{1}{8^3}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{1\cdot \:1}{3^3\cdot \:8^3}[/tex]
[tex]=\frac{1}{24^3}[/tex]
Thus,
[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
Thus, the equivalent expression is: [tex]\frac{1}{24^3}[/tex]
do two lines that intersect make 4 right angles
Answers
Answer:
if they are perpendicular
Answer:
Yes
Step-by-step explanation:
Two lines that intersect each other can intersect each of perpendicularly, which forms 4 right angles.
I hope this helps!
ALL I NEED IS #9 PLS
Answers
Answer:
x=24
Step-by-step explanation:
x/6=4
4*6=x
x=24
Michael’s home is 12 feet below sea level and his mother’s home is 12 feet above sea level. Michael says their homes are at opposite elevations because they are in opposite directions. Is he correct? Explain.
Answers
Answer:
Yes he is correct because -12 and 12 are the opposite.
Step-by-step explanation:
Answer:
He is correct because the numbers are in opposite directions on the number line, and their distances from 0 on the vertical number line are equal
3
through: (3, 4), perp. to y = -x-5
x
Write the slope-intercept form of the
equation of the line described. *
(4 Points)
8
2
A) y = -x + 4
B) y=-
+4
C) y=xx +4
5
D) y = --X+4
OA
OD
Answers
Step-by-step explanation:
I don't really get the question...
An operations analyst counted the number of arrivals per minute at an ATM in each of 30 randomly chosen minutes. The results were: 0, 3, 3, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1. For the Poisson goodness-of-fit test, what is the expected frequency of the data value X
Answers
Step-by-step explanation:
since Poisson distribution parameter is not given so we have to estimate it from the sample data. The average number of of arrivals per minute at an ATM is
[tex]\hat{\lambda}=\bar{x}=\frac{\sum x}{n}=\frac{30}{30}=1[/tex]
So probabaility for [tex]\mathrm{X}=1[/tex] is
[tex]P(X=1)=\frac{e^{-\lambda} \lambda^{x}}{x !}=\frac{e^{-1} \cdot 1^{1}}{1 !}=0.3679[/tex]
So expected frequency for [tex]X=1[/tex] is [tex]0.3679^{*} 30=11.037[/tex] (or [tex]\left.11.04\right)[/tex] .
Find the area. Round to the nearest hundredth if necessary
Answers
(Please help fast I have like 20 minutes to answer the question )
Answers
Answer:
2/3 / 1/6
4/6 / 1/6
1/6 can go into 4/6 4 times. the answer is C; 4
Step-by-step explanation:
You and your friend each collect rocks and fossils. Your friend collects three times as many rocks and half as many fossils as you. You collect 15 objects. Your friend collects 30 objects. How many rocks and how many fossils do you each collect?
Answers
Answer:
I got 9 rocks and 6 fossils and my friend got 27 rocks and 3 fossils
Step-by-step explanation:
Lashonda is saving money to buy a game. So far she has saved $6, which is two-thirds of the total cost of the game. How much does the game cost?
Answers
Answer:
The game costs $9
Step-by-step explanation:
I wrote an equation using the variable "t" for the total cost of the game.
6=2/3t
t=6/2/3
t=(6/1)(3/2)
t=18/2
t=9
Which factor is least likely to affect the results and interpretation of a functional MRI?
A. cancerous growth
B. prescription medication
C. a sinus infection
D. caffeinated soda
Answers
Answer:
Cancerous growth
Step-by-step explanation:
For example, a tumor would be found in MRIs and will have a significant impact on the results and interpretation of a functional MRI. A tumor that is cancerously growing is very crucial to the function of an MRI
I hope this helps
The functional MRI also known as fMRI monitors brain anatomy activity
The factor that is least likely to affect the results and interpretation of a
functional MRI is; C. A sinus infection.
Reasons:
MRI stands for magnetic resonance imaging, and it is used to generate
images of the interior of items, such as the human body, without opening
the body, by producing strong magnetic fields, from the built in powerful
magnets.
The parts of the body that are examined by an MRI scan includes, the
internal organs, blood vessels, brain, and spinal cord.
The MRI scan works by tracking radio signals sent by protons in the body
which vary based on the type of tissue.
Due to the requirement for the patient to remain stationary during the
scan, medication may be given. It is also important to not take caffeinated
drinks prior to the examination.
A functional MRI is used to monitor the functioning of the brain's anatomy,
by blood flow change detection.
Therefore, the factor that is least likely to affect the result and
interpretation of a functional MRI is a sinus infection which is the
inflammation of the sinus lining and mucus presence, that rarely cause
neurologic complications.
Learn more here:
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Which one should I choose
Answers
Answer:
C. 10x^2
Step-by-step explanation:
What is the answer to this?
Answers
Answer:THE ANSWER IS C HOPE THIS HELPS ANY
Step-by-step explanation:
Write an equation for the parabola that passes through (1,12) and has vertex (10,-4)
Answers
Answer:
y + 4 = (16/81)(x - 10)
Step-by-step explanation:
The general formula for a parabola passing through (x, y) and with vertex (h, k) is y - k = a(x - h)^2.
Here we are told that x = 1, y = 12, h = 10 and k = -4, which gives us:
12 + 4 = a(1 - 10)^2, or
16 = 81a
Then a = 16/81, and the desired parabola is
y + 4 = (16/81)(x - 10)
Simplify this expression: -2.15m + 6 + 10.3m
Answers
Answer:
8.15m + 6
Step-by-step explanation:
To simplify, combine like terms. The only like terms here are the -2.15m and 10.3m because they both have a variable next to them.
Add the numbers together and leave the variable the same.
-2.15m+10.3m = 8.15m
Answer:
8.15m + 6
Step-by-step explanation:
-2.15m + 6 + 10.3m
combine like terms: -2.15 + 10.3 = 8.15
8.15m + 6
question
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Answers
Answer:
32 and 5n + 2
Step-by-step explanation:
(a)
The pattern of the number of sticks is
7, 12, 17
There is a common difference of 5 between consecutive terms.
Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is
a₄ = 17 + 5 = 22
a₅ = 22 + 5 = 27
a₆ = 27 + 5 = 32
There are 32 sticks in pattern number 6
(b)
The sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
Where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 5 , then
[tex]a_{n}[/tex] = 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2
number of sticks in pattern number n is 5n + 2
32 and 5n + 2
Step-by-step explanation:
(a)
The pattern of the number of sticks is
7, 12, 17
There is a common difference of 5 between consecutive terms.
Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is
a₄ = 17 + 5 = 22
a₅ = 22 + 5 = 27
a₆ = 27 + 5 = 32
There are 32 sticks in pattern number 6
(b)
The sequence is arithmetic with n th term
= a₁ + (n - 1)d
Where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 5 , then
= 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2
number of sticks in pattern number n is 5n + 2
Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened at the bank. Determine whether each statement below is true. Select True or False for each statement.
V(0) = 2 means that the value of the bank account when it is opened is $2000
V(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000
V(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening
Answers
Answer:
True false false
Step-by-step explanation:
The following statements can be considered true or false as the case may be as follows;
V(0) = 2 means that the value of the bank account when it is opened is$2000 --TRUEV(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000 --FALSEV(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening --TRUEDiscussion:
The function takes the form;
V(t) = Value of account.Ultimately,
Statement 1 is true; Statement 2 is false; andStatement 3 is true.Read more:
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