Answer:
[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]
[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]
[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]
Step-by-step explanation:
Given
Shape: Triangle
[tex]Area = 36cm^2[/tex]
Solving (a): Three possible dimensions
The area of a triangle is:
[tex]Area = 0.5 * Base * Height[/tex]
Let: [tex]Base = 6cm[/tex]
So, we have:
[tex]36= 0.5 * 6* Height[/tex]
[tex]36= 3* Height[/tex]
Solve for Height
[tex]12 = Height[/tex]
[tex]Height = 12[/tex]
So, a possible dimension is: [tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]
Let: [tex]Base = 4cm[/tex]
So, we have:
[tex]36= 0.5 * 4* Height[/tex]
[tex]36= 2* Height[/tex]
Solve for Height
[tex]18 = Height[/tex]
[tex]Height = 18[/tex]
So, a possible dimension is: [tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]
Let: [tex]Base = 9cm[/tex]
So, we have:
[tex]36= 0.5 * 9* Height[/tex]
[tex]36= 4.5* Height[/tex]
Solve for Height
[tex]8 = Height[/tex]
[tex]Height = 8[/tex]
So, a possible dimension is: [tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]
So, the three possible dimensions are:
[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]
[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]
[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]
Solving (b): Can the side lengths be given
We can only determine the base and the height of the triangle, the third side length can not be determined using the available information
Please please please please please please help me a b c or d
Answer:
35 degree angle the line passes through the 30 and 40
Step-by-step explanation:
so c
explain why conductivity is a good measure of the salinity of water?
Answer:
Salinity and conductivity measure the water's ability to conduct electricity, which provides a measure of what is dissolved in water. In the SWMP data, a higher conductivity value indicates that there are more chemicals dissolved in the water.
Step-by-step explanation:
Which fraction is greater than the fraction represented by the model? *
Mark only one oval.
a. 1/4
b. 7/16
c. 1/8
Which expression is equivalent to (q? – 16)?
M. (q - 4)2
P. (9 + 4)(9-4)
R. (q + 8)(9 - 2)
S. (9-8)(9 + 2)
Answer:
nothing
Step-by-step explanation:
because the given is error
Select the correct answer. Two events, E1 and E2, are defined for a random experiment. Which equation represents the condition that the events are nonexclusive? A. P(E1 ∩ E2) ≠ 0 B. P(E1 ∪ E2) ≠ 1 C. P(E1 ∩ E2) = 0 D. P(E1 ∪ E2) = 1
Answer:
B
Step-by-step explanation:
The equation that represents the condition that the events are nonexclusive is P(E1 ∪ E2) ≠ 1.
We have given that,
A. P(E1 ∩ E2) ≠ 0 B. P(E1 ∪ E2) ≠ 1 C. P(E1 ∩ E2) = 0 D. P(E1 ∪ E2) = 1
We have to determine which equation represents the condition that the events are nonexclusive.
What is nonexclusive?
Non-mutually exclusive events are events that can happen at the same time.
The equation that represents the condition that the events are nonexclusive is P(E1 ∪ E2) ≠ 1.
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What is the lower Quartile (Q1) for this data set?
Answer:
d adm d
Step-by-step explanation:
mnmnmnmncmmxmxmxmnxmnmmncxmcx
please help solve for x step by step ASAP!
Answer:
x=26
Step-by-step explanation:
the angle is a right angle so
90-37= 53
53-1=51
52/2= 26 thats x?
if you dont understand i can still describe more
A pet store is having a pet fish sale. Mrs. Smith bought koi and paid with a $50 bill. Write an algebraic expression to represent how much change Mrs. Smith got back.
The expression that represents the change Mrs. Smith got back is 50 - x dollars.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A pet store is having a pet fish sale.
let, the cost of the Koi fish is 'x' dollars.
Therefore, With a $50 bill change(C) Mrs. Smith got back is represented by the expression,
C = (50 - x) dollars.
So, The change Mrs. Smith got back is 50 - x dollars.
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x = [?]
3x + 2 + 6x + -20
Answer:
9x−18
Step-by-step explanation:
Calculate the perimeter of this figure. Round your answer to 2 decimal places. Show all work and
include proper units. DONT FORGET TO FIND MISSING SIDE
6 ft
10 ft
6 ft
10 ft
TEIS PM
Answer:
32 ft
Step-by-step explanation:
that's a right answer
The total cost to play paintball can be represented by the expression (48x+54). If Rocco and five friends split the cost equally, what is the cost for each person
Answer:
8x + 9
Step-by-step explanation:
The total number of people splitting the cost equally = Rocco and five friends = 6 people
The total cost to play paintball can be represented by the expression (48x+54)
The cost for each person is calculated as: The total cost to play paintball/ Total number of people
= (48x+54)/6
= 48x/6 + 54/6
= 8x + 9
Therefore, the cost for each person is
8x + 9
Find the value of x needed to make the equation True. 3/4(20x-8)-3=54
A. x=3.8
B. x=4.2
C. x=4
D. x=3.3
Answer:
The answer is option B, x = 4.2
Solve for the missing value.
58
i think it is 58 degrees
Find the output y when the input x is -5
y=?
Answer: y=7
Step-by-step explanation: looking at the graph when x is -5 y= 7
If the perimeter of a triangle is 31 ft and two of the side lengths are 15 ft and 10 ft, what is the length of the third side?
A.16ft
B.25ft
C.6ft
D.56ft
Answer:
C) 6 ft
Step-by-step explanation:
Perimeter is just adding the side lengths together so...
31-15-10=x
6=x
so your answer is 6ft
Ronnie's teacher wrote this expression on the board. (-4)(2) + (10/2) What is the value of this expression?
Answer:
The answer would be -3.
Step-by-step explanation:
If you follow PEMDAS, the first set of parenthesis, (-4)(2), would equal -8. The next set of parenthesis, (10/2), would equal 5. Adding -8 and 5 together gives you -3.
If a persons monthly income consists of $550 plus a commision of 4% on all his sales. Find his total income for a month where he sold items for $590
Answer:
$613.6
Step-by-step explanation:
Given data
Monthly income = $550
Plus commision =4% of sales
Sale for the month= $590
Let us find the commission earned
4/100*590
=0.04*590
=$23.6
Hence the net income for that month is
=23.6 +590
= $613.6
The sum of Paul’s and Sam’s ages is 4 and the difference between their ages is 0. Two equations to model this situation are x + y = 4 and x - y = 0. The solution represents both of their ages. What quadrant does the solution lie in?
A.) IV
B.) II
C.) III
D.) I
Answer:
D.) |.
Step-by-step explanation:
x + y = 4
x - y = 0 Adding:
2x + y - y = 4
2x = 4
x = 2
and y = 4 - 2 = 2.
The point (2, 2) is in quadrant |
Shana has three black pens, two red pens, and four blue pens in her book bag. Shana randomly chooses a pen from her book bag without looking. What is the probability that the pen is red or blue?
A. 2/3
B. 2/9
C. 4/9
D. 3/9
3 Black Pens, 2 Red Pens, 4 Blue Pens
Should be 6/9 but since that's not an option I'd try D but I could be wrong I just thought I'd try an help!
If it didn't I'm sorry
or B & C if you can choose 2 answers!
Find the product. 1.5m6(-2m2)4
9514 1404 393
Answer:
24m^14
Step-by-step explanation:
It looks like you want to simplify ...
[tex]1.5m^6(-2m^2)^4=(1.5)(-2)^4(m^6)(m^{2\cdot4})\\\\=(1.5)(16)m^{6+8}=\boxed{24m^{14}}[/tex]
__
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
According to the US Census, the percent of residents aged 65 or older in the 50
states and District of Columbia has mean 13.26% and standard deviation of
1.67%. Find and interpret the standardized scoreſfor the state of Colorado, which
had 9.7% of residents age 65 or older. *
Answer:
z = -2.13
Therefore, the standardized z score for the state of Colorado means the score is below the mean.
Step-by-step explanation:
The formula for z score is given as:
z = (x-μ)/σ,
where
x is the raw score = 9.7%
μ is the population mean = 13.26%
σ is the population standard deviation = 1.67%
z = z score or standardize score
Hence,
z = 9.7 - 13.26/1.67
z = -2.13174
Approximately z = -2.13
Therefore, the standardized z score for the state of Colorado means the score is below the mean
The speed of a train is 35 miles per hour less than 2 times the speed of a car. If the speed of the train is 60 miles per hour, how fast is the car going? Leave the answer as a fraction.
plz help 20 points
Answer:
[tex]120miles \: per \: hour[/tex]
Find the area of the shaded region
Answer:
128 centimeter
Step-by-step explanation:
sana makatulong
PLEASE HURRY!!!
Write an explicit formula for [tex]a_{n}[/tex], the nth term of the sequence 35, 42, 49, ....
Answer:7n+28
Step-by-step explanation:
I need help im doing IXL right now (BB.3 Complete a function table: quadratic functions)
i just need help with this final question (posted with a picture)
Answer:
0, 2, 4
Step-by-step explanation:-2 + 2 = 0 + 2= 2 + 2 = 4
The function table is solved and the quadratic equation is f ( x ) = -3x²
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
f ( x ) = -3x²
when x = -2
f ( -2 ) = -3 ( -2 )²
f ( -2 ) = -12
And , when x = 0
f ( 0 ) = 0
when x = 2
f ( 2 ) = -12
when x = 4
f ( 4 ) = -48
Hence , the function table is f ( x ) = { -12 , 0 , -12 , -48 }
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In ΔPQR, the measure of ∠R=90°, the measure of ∠P=26°, and PQ = 8.5 feet. Find the length of QR to the nearest tenth of a foot.
Answer:
3.7feet
Step-by-step explanations
Using the sin rule
A/sin a = B/sin b
Let A = PQ = 8.5feet
B = QR = x feet
a = R = 90°
b = P = 26°
Substitute the values into the Sin rule
8.5/sin90 = x/sin26
8.5×sin 26 = x × sin 90
8.5×0.4383 = x× 1
3.7255 = x
Hence the length of QR to the nearest tenth 3.7feet
find the equation of the line that passes through points 4 and 7 and 2 and 3
HELP
Answer:
y=2x-1
Step-by-step explanation:
1. 7-3/4-2=2 so the slope would be 2
2. substitute (4,7) in y=mx+b which gets b=-1
3. so this means that the equation is y=2x-1
Solve the linear inequality: x ≤ -x + 4
Answer:
x ≤ 2
Step-by-step explanation:
i hope this helps :)
My Classes
illi
MULTIPLE CHOICE QUESTION
What is the probability of rolling a 5 on a
die and tossing a coin and getting a
heads?
Answer:
1/12
Step-by-step explanation:
find the indicated side of the triangle a=
Ar of triangle = 3b , Ar of triangle = 6a a = 12/root3
