Answers
Answer: C
Step-by-step explanation:
To find b₂, we need to use our algebraic properties to isolate b₂.
[tex]A=\frac{1}{2}h(b_1+b_2)[/tex] [multiply both sides by 2]
[tex]2A=h(b_1+b_2)[/tex] [divide both sides by h]
[tex]\frac{2A}{h} =b_1+b_2[/tex] [subtract both sides by b₁]
[tex]b_2=\frac{2A}{h}-b_1[/tex]
Now, we know that C is the correct answer.
Answer:C
Step-by-step explanation:
Related Questions
If the statement is rewritten as a conditional statement in if-then form, which best describes the hypothesis?
Two lines in a plane intersect at a point
A. Two lines in a plane intersect
B. Two lines intersect at a point
C. A point exists
D. Points are in a plane
Answers
The statement "Two lines intersect at a point" is a correct option (B) that would be the best choice.
What are the null hypothesis and alternative hypothesis?The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.
It is given that:
If the statement is rewritten as a conditional statement in if-then form.
As we know,
From the definition of the hypothesis.
The null and alternative hypotheses are two generalizations about a population that are strictly contradictory
The hypothesis is best described as two lines intersecting at a point if the original sentence is restated as a conditional statement in the if-then format.
Thus, the statement "Two lines intersect at a point" is the correct option (B) that would be the best choice.
Learn more about the null hypothesis and alternative hypothesis here:
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Answer:
B
Step-by-step explanation:
C is between B and D
BC = 8x +13
CD= 12x -73
BD =320
find the value of x
Answers
Answer:
..
...
Step-by-step explanation:
..
Answer:
x = 19
Step-by-step explanation:
Since C is between B and D , then
BC + CD = BD , substitute values
8x + 13 + 12x - 73 = 320 , that is
20x - 60 = 320 ( add 60 to both sides )
20x = 380 ( divide both sides by 20 )
x = 19
Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. Assume he makes no other withdrawals or deposits. The equation below can be used to find m , the number of months it will take him to save a total of $175. 75 + ?m = 175
Answers
Answer:
2 months for $175
Step-by-step explanation:
2x5 is 10 so 2x50 = 100 and since 75 was already in the bank when he started doing deposits, it took him 2 month to deposit 100
Answer:
50
Step-by-step explanation:
i got this one wrong 175 isnt correct
Edwardo has $24 saved. If he saves $8 each week, how much money will he have in 5 weeks ?
Answers
Answer:
64$
Step-by-step explanation:
Ifshe saved 8$ each week then that would equal to 40
But by adding the 24$ already saved the total amount would equal to 64$
My answer is B im sure im wrong ;-;
Answers
Answer:
12.56
Step-by-step explanation:
find the circumference of the circle : 2πr
C=2(12)(3.14)
C=75.36
the length of the arc is: arc length will be (60/360) one 1/6 of the total circumference.
(60/360)(75.36)= 12.56
Need help ASAP!! Convert this rational number
to its decimal form and round
to the nearest thousandth.
Answers
Answer:
0.167
Step-by-step explanation:
Converting it to decimal form would be :0.16666667
Rounding it to the nearest thousands would be the 3rd decimal place. Round it up to be 0.167
A square has an area of 9 cm what is it's side length
Answers
Answer:
A=3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
itttttttttttttt isssssssssss =3
find the values of x and y respectively A. 40, 80 B. 40,70 C. 110,30
Answers
Answer:
B. 40, 70
Step-by-step explanation:
[tex]30 \degree + x\degree + 40 \degree = 110 \degree ..(straight \: line \: \angle 's) \\ x\degree + 70 \degree = 110 \degree \\ x\degree = 110 \degree - 70 \degree \\ \huge \red{ \boxed{ x = 40}} \\ \\ y \degree = (180 - 110) \degree.. (vertical \:\angle 's) \\ y \degree =70 \degree \\ \huge \purple{ \boxed{ y = 70}}[/tex]
Solve.
2(7y - 5) = 4
Answers
Answer:
y=1
Step-by-step explanation
So basically 2 *7y is 14y and 2*5 equals 10
bring the 10 to the 4 and you have 14y=14
y=1
+10 +10
14y= 14
Y=1
A scientist records the number of deer observed in three areas of a forest. The table shows her observations. Area A 18 miles 162 deer. Area B 17 miles 153 deer. Area C 26 miles 234 deer. How many deer per square mile did the scientist observe in the forest?
Answers
9 deer per square mile
There are 9 deer per square mile because once you add all of the miles together it equals 61. Then you add all of the deer seen together equaling 549. You then divide 549 by 61 equaling 9.
What is 1 5/6 + 1/2?
A) 14/6
B) 17/12
C) 17/6
D) 25/12
Answers
Answer:
A) 14/6
Step-by-step explanation:
1 5/6 = 1 + 5/6 = 6/6 + 5/6 = 11/6
1/2 = 3/6
then:
1 5/6 + 1/2 = 11/6 + 3/6 = 14/6
What's more selfish? Committing Death or forcing someone to stay in a world where they are so unhappy?
Answers
Answer:forcing someone to stay in the world they dont wanna be in
Step-by-step explanation:
What is the solution set for 5(1−p)>−3p−5?
Answers
3p-1=5(p-1)-2(7-2p)
Simplifying
3p + -1 = 5(p + -1) + -2(7 + -2p)
Reorder the terms:
-1 + 3p = 5(p + -1) + -2(7 + -2p)
Reorder the terms:
-1 + 3p = 5(-1 + p) + -2(7 + -2p)
-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)
-1 + 3p = (-5 + 5p) + -2(7 + -2p)
-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)
-1 + 3p = -5 + 5p + (-14 + 4p)
Reorder the terms:
-1 + 3p = -5 + -14 + 5p + 4p
Combine like terms: -5 + -14 = -19
-1 + 3p = -19 + 5p + 4p
Combine like terms: 5p + 4p = 9p
-1 + 3p = -19 + 9p
Solving
-1 + 3p = -19 + 9p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-9p' to each side of the equation.
-1 + 3p + -9p = -19 + 9p + -9p
Combine like terms: 3p + -9p = -6p
-1 + -6p = -19 + 9p + -9p
Combine like terms: 9p + -9p = 0
-1 + -6p = -19 + 0
-1 + -6p = -19
Add '1' to each side of the equation.
-1 + 1 + -6p = -19 + 1
Combine like terms: -1 + 1 = 0
0 + -6p = -19 + 1
-6p = -19 + 1
Combine like terms: -19 + 1 = -18
-6p = -18
Divide each side by '-6'.
p = 3
Simplifying
p = 3
help
i need H - G answered
Answers
Answer:
See below.
Step-by-step explanation:
H.
f = 3x + 31
c = 12x - 1
3x + 31 + 12x - 1 = 180
15x + 30 = 180
15x = 150
x = 10
same-side interior, supplementary
R.
b = x - 10
g = 4x + 60
x - 10 + 4x + 60 = 180
5x + 50 = 180
5x = 130
x = 26
same-side exterior, supplementary
E.
d = 2x + 13
e = 7x + 5
2x + 13 + 7x + 5 = 180
9x + 18 = 180
9x = 162
x = 18
same-side interior, supplementary
I.
a = 10x - 30
e = 8x + 20
10x - 30 = 8x + 20
2x = 50
x = 25
corresponding, congruent
G.
b = x + 30
h = 5x - 14
5x - 14 = x + 30
4x = 44
x = 11
alternate exterior, congruent
Order the numbers below from least to greatest √5,3.7,1/2,-4,-9/4
Answers
Answer:
-4 , -9/4 , .5 , √5 , 3.7
Step-by-step explanation:
-9/4= -2.25
sqr 5= 2.23
1/2= .5
!!!!PLEASE HELP!!!!! 20 points
The local ice cream parlor bought 100 half gallons of gelato for $2.40 per half gallon and stored it in two freezers . One freezer broke, ruining 14 half gallons. If the remaining gelato is sold for $3.96 per half gallon, how much profit will the parlor make? Remember to include a dollar sign in your answer .
Answers
Answer:
The profit is $100.56
Step-by-step explanation:
The total cost for the ice cream was 100 * 2.40 = 240
14 1/2 gallons were ruined so there were 100 -14 = 86 half gallons left
They sold these at 3.96 each
86 * 3.96 =340.56
The profit is the money made minus the cost
340.56-240 = 100.56
The profit is $100.56
Can someone help me with this please
Answers
===========================================
Explanation:
For now, ignore the variables. Let's just focus on the coefficients 12 and 16.
The GCF of 12 and 16 is 4 because this is the largest factor they have in common.
12 = 4*3
16 = 4*4
You could create a factor tree to get the prime factorization of each number
12 = 2*2*3
16 = 2*2*2*2
Each factor tree has two copies of '2' leading to the GCF 2*2 = 4.
--------
Now let's go back to the variables. The term 12n and 16w^3 do not have any variables in common. So the final answer won't have any variables in it. If both terms had say a 'w' in them, then w would somehow be involved in the GCF. But that's not the case here. So we just stick to 4 as our answer.
--------
Side note: If you had 12n+16w^3 and you wanted to factor, then you would factor out the GCF 4 to get 12n+16w^3 = 4(3n+4w^3). Use the distribution rule to confirm this.
what does 5/8 x 30 1/2 = in mixed number form
Answers
Answer:
19 1/16
Step-by-step explanation:
Answer:
305/16
Step-by-step explanation:
Simplify the following:
(5 (30 + 1/2))/8
Hint: | Express (5 (30 + 1/2))/8 as a single fraction.
(5 (30 + 1/2))/8 = (5 (30 + 1/2))/8:
(5 (30 + 1/2))/8
Hint: | Put the fractions in 30 + 1/2 over a common denominator.
Put 30 + 1/2 over the common denominator 2. 30 + 1/2 = (2×30)/2 + 1/2:
(5 (2×30)/2 + 1/2)/8
Hint: | Multiply 2 and 30 together.
2×30 = 60:
(5 (60/2 + 1/2))/8
Hint: | Add the fractions over a common denominator to a single fraction.
60/2 + 1/2 = (60 + 1)/2:
(5 (60 + 1)/2)/8
Hint: | Evaluate 60 + 1.
60 + 1 = 61:
(5×61/2)/8
Hint: | Express 5×61/2 as a single fraction.
5×61/2 = (5×61)/2:
((5×61)/2)/8
Hint: | Express ((5×61)/2)/8 as a single fraction.
((5×61)/2)/8 = (5×61)/(2×8):
(5×61)/(2×8)
Hint: | Multiply 2 and 8 together.
2×8 = 16:
(5×61)/16
Hint: | Multiply 5 and 61 together.
5×61 = 305:
Answer: 305/16
Which equation below would be perpendicular to the line x = 5 and goes through the point (2, 6)?
Answers
Answer:
this also I do not know plz tell answer is will also practice
A plane is labeled H. 3 horizontal lines are shown. From top to bottom, line k is above the plane and lines n and w are on the plane. Vertical line m cuts through the horizontal lines and the parallelogram. Point x is at the intersection of lines m and n and indicates that m is at a right angle to line n. Lines n and w are parallel to each other. Which statement is true regarding the parallel and perpendicular lines in the diagram? k Parallel to n and w Perpendicular to m k Parallel to n and n Perpendicular to m w Parallel to n and n Perpendicular to m w Parallel to n and wPerpendicular to m
Answers
Answer:
c on edge
Step-by-step explanation:
i just did it
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is C.
What is a line segment?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is a straight line with finite length, and thus, has two endpoints(points on either end).
The diagram for the given condition can be made as shown below. Now, from the image, the following conclusion can be made,
The two lines w and n are parallel to each other.The line m is perpendicular to n, this is because the angle between the two lines is equal to 90°. The two lines k and line n are also parallel to each other.Further, if all the options are observed.
A.) k Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
B.) k Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
C.) w Parallel to n and n Perpendicular to m
Since both the parts of the statement are correct, therefore, it can be concluded that the given statement is correct.
D.) w Parallel to n and w Perpendicular to m
The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.
Learn more about Line Segment:
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a brunette Hall is preparing to serve a party of 432 guests if each table seats 8 people how many tables are needed
Answers
Answer:
54
Step-by-step explanation:
432/8=54
given the functions: f(x) = x^2-9 and g(x) = 3 what is (f/g)(x)? A. x-3 B. x-9 C. x+3 D. x+9
Answers
Answer:
f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}
List the first 4 terms of the sequence. f(1) = 7, f(n) = f(n-1)+4
Answers
Answer:
7, 11, 15, 19
Step-by-step explanation:
Using the recursive rule with f(1) = 7 , then
f(2) = f(1) + 4 = 7 + 4 = 11
f(3) = f(2) + 4 = 11 + 4 = 15
f(4) = f(3) + 4 = 15 + 4 = 19
The first 4 terms are 7, 11, 15, 19
Haruki has $20 in his savings account. Each
week he will add $5 to it. He wants to draw
a graph that shows how much money is in
his savings account over time, starting with
$20. What is the equation of the line?
Answers
Answer:
y=5x+20
Step-by-step explanation:
It grows by 5 each week with would be the m, the b value would be the amount already saved which is 20.
Answer:
y=5x+20
Step-by-step explanation:
simplify the expression by combining like terms; 5c+3+1-c
Answers
Answer:
4c+4
Step-by-step explanation:
5c+3+1-c
-c
4c+3+1
4c+4
Together Fred and Wilma have saved $345 Wilma has have twice as much money as Fred how much money do they each have define your variables and set up a system of equations with two equations
Answers
Answer:
Fred has saved $115 while Wilma had saved $230
Step-by-step explanation:
Let the amount saved by Fred be F while the amount saved by Wilma be W
Together, they have saved $345
Mathematically;
F + W = 345 •••••••(i)
We are also told that Wilma has have twice as much money as Fred;
Hence; W = 2F ••••••••(ii)
To get the amount of money they both have, we need to solve the equations simultaneously
Substitute ii into i
F + 2F = 345
3F = 345
F = 345/3
F = 115
But W = 2F
W = 2 * 115
W = 230
13. To enter the play area, children must be more than 4 feet tall.
Answers
Answer:
Is this full qn ?. I don't think sooo.
Please Help! 7+b=b+7
Answers
Answer:
Yes, 7+b=b+7
Step-by-step explanation:
It is correct because the both are the same equation; however, the numbers and variables are just switched around. Therefore, that doesn't change the value of the equation.
Hope this helps!
Answer:all real numbers are solutions
Step-by-step explanation:
1936
1937
1944
1945
1946
19
23
30
33
?
Answers
Answer:
44?
Step-by-step explanation:
Solve for x: 3x−2=8x+8
Answers
Answer:
-2 =x
Step-by-step explanation:
3x−2=8x+8
Subtract 3x from each side
3x-3x−2=8x-3x+8
-2 = 5x+8
Subtract 8 from each side
-2-8 = 5x+8-8
-10 = 5x
Divide each side by 5
-10/5 = 5x/5
-2 =x
Answer:
-2
Step-by-step explanation:
Subtract 8x from both sides.
3x−2−8x=8x+8−8x
−5x−2=8
Step 2: Add 2 to both sides.
−5x−2+2=8+2
−5x=10
Step 3: Divide both sides by -5.
−5x
−5
=
10
−5
x=−2