The value of [tex]b_{1}[/tex] is 69/4h and value of [tex]b_{2}[/tex] is 43/4h if the area of trapezoid is 14 square units.
Given that area is equal to 1-2([tex]b_{1} -b_{2}[/tex])h and area is 14 square units.
We know that area of trapezoid is equal to (a+b)h/2.
We have to put the given equation equal to 14 to get our first equation.
14=1-2([tex]b_{1} -b_{2}[/tex])h
14=1-2[tex]b_{1}[/tex]h+2[tex]b_{2}[/tex]h
2[tex]b_{1}[/tex]h-2[tex]b_{2}[/tex]h=-13------------1
Now put the value of area in the formula of area of trapezoid.
14=[tex](b_{1} +b_{2})h/2[/tex]
[tex]b_{1}[/tex]h+[tex]b_{2}h[/tex]=28-----------------2
Multiply equation 2 by 2 and then subtract 2 from 1
[tex]2b_{1}h -2b_{2}h -2b_{1}h-2b_{2}h[/tex]=-13-56
-4[tex]b_{2}h[/tex]=-43
[tex]b_{2}[/tex]=43/4h
Put the value of [tex]b_{2}[/tex] in 2 to get the value of [tex]b_{1}[/tex].
[tex]b_{1} h+43/4h*h=28[/tex]
[tex]b_{1}[/tex]=69/4h
Hence The value of [tex]b_{1}[/tex] is 69/4h and value of [tex]b_{2}[/tex] is 51/4h if the area of trapezoid is 14 square units.
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What is the probability that a value picked at random from the standard normal distribution will be between -1.96 and 1.96?
Answer:
P( -1.96 ≤ Z≤ 1.96) = 0.95
Step-by-step explanation:
Explanation:-
Given that the z -scores -1.96 and 1.96
we have to find P( -1.96 ≤ Z≤ 1.96)
P( -1.96 ≤ Z≤ 1.96) = |A(1.96)+A(-1.96)|
= |A(1.96)+A(-1.96| (∵A(-Z) = A(Z))
= 0.4750+0.4750
= 2×0.4750
= 0.95
The probability lies between -1.96 to 1.96
P( -1.96 ≤ Z≤ 1.96) = 0.95
a pack of pens cost $3. Prisha spent $12 on pens. Each pack has 5 pens How many packs did Prisha buy?
Answer: 4
Step-by-step explanation: I think
If a cable repairman is supposed to show up to for a repair between 1:00pm and 6:00pm and the home owner can’t be homeuntil 3:00pm, what is the probability that the home owner will be home when the cable repair man shows up (assuming the repairman is equally likely to come at any time during the specified range)?
A) 60%
B) 65%
C) 70%
D) 75%
Answer:
60%
Step-by-step explanation:
3/5 likely, because there are five hours when the repairman could show up.
Three of them will have the homeowner, and 2 would not. 3/5=0.6=60%
Answer:
for da other guy to get brainliest
Step-by-step explanation:
3. The 7th grade students took a survey about which pizza company the students
preferred: Papa John's, Dominos or Pizza Hut. There are 64 students in the 7th
grade.
If 5 out of 8 students chose Papa John's, how many students chose Papa
John's? How many did not?
Answer:
40 students choose Papa John's, and 24 did not
Step-by-step explanation:
This question can be solved by proportions, using rule of three.
For each 8 students, 5 chose Papa John's. Out of 64, how many choose?
5 - 8
x - 64
Applying cross multiplication
[tex]8x = 5*64[/tex]
Simplifying by 8
[tex]x = 5*8 = 40[/tex]
40 students choose Papa John's.
In all, there are 64 students, so 64 - 40 = 24 did not
an orange paint mixture uses 3 cups of red paint for every 5 cups of yellow paint. how many cups of yellow paint will one cup of red paint be for.
respuesta : 8 espero tesirba
What are the slope and y intercept of the linear function that is represented by the table
Answer:
Slope of the line is 3
Y-intercept is (3/2) three-halves
Explanation:
I saw this also on Brainly! Hope this helps! :)
One interior angle of a convex polygon (a convex polygon is a polygon where all angles
are less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides
does the polygon have?
Answer:
7 sides
Step-by-step explanation:
120 + 130x = 180 * (x+1-2)
120 + 130x = 180x - 180
300 = 50x
x = 6
You get that x = 6, but there is still one angle that equals 120, so you have a 7 sided polygon.
Answer:
7
Step-by-step explanation:
David's overtime rate is $20. This week, he worked 3 overtime hours. How much will he get paid for overtime?
A. $30
B.$45
C$60
Answer:
$60
Step-by-step explanation:
3x20=60
A garden table and a bench cost $793 combined. The garden table costs $43 more than the bench. What is the cost of the bench?
Answer:
The bench costs $375
Step-by-step explanation:
t + b = 793
t = b+43
(b+43) + b = 793
2b + 43 = 793
2b = 750
b = 375
The bench costs $375
PLS HELP IF YOU ANSWER I WILL GIVE BRAINLIEST ANSWER!
Use the given points to answer parts 1, 2, and 3. Include all of your work in your final answer. Type your answer in the box provided or use the upload option to submit your
solution.
(6, 1) and (5, 4)
Part 1: Find the slope of theline that passes through the given points, (6, 1) and (6,4).
Part 2: Write the point-slope form of the line that passes through the points (6, 1) and (5, 4).
Part 3: Write the slope-intercept form of the line that passes through the points (6, 1) and (5, 4).
Answer:
Write the point-slope form of the line that passes through the points (6, 1) and (5, 4).
Step-by-step explanation:
June's flower bed has a length of 8 feet and a width of seven eighths feet. Is the area of the flower bed larger, smaller, or equal to 8 square feet?
Answer:
it would be larger. the square footage is 56 square feet.
Step-by-step explanation:
What’s 59+(h-11) ??????
the total cost of a pizza and 3 drinks is $19 the price of the pizza is $10 and each drink is the same price D what is the price of one drink please I need help
Answer:
3
Step-by-step explanation:
9 divide by 3 is 3 itself so the answer is 3
1. (a) Find the remainder when 5x2 – 3x + 6 is divided by 2x-1
Answer:
The answer is 5/2X - 1/4. The remainder is 23/4.
Which statement about the graph of y
3x + 5 is correct?
A. The line passes through the ordered pair (3,0) and has a slope of 5.
B. The line passes through the ordered pair (0,5) and has a slope of 3.
С. The line passes through the ordered pair (5,20) and has a slope of 5/3
D. The line passes through the ordered pair (3, 14) and has a slope of 3/5
The correct statement for the equation of the line is the line passes through the ordered pair (0,5) and has a slope of 3.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Compare the given equation of the line y = 3x + 5 with the general equation.
y = mx + c
y = 3x + 5
The slope, m = 3
y-intercept = 5
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Help me, please............
Answer:
67%
350/ 210 -1 = .67 x 100%
Answer:
67%
Step-by-step explanation:
21/35
Find the percent change from the first value to the second.
40;72 (show how you got your answer for a brainliest)
Answer:
80% increase
Step-by-step explanation:
There are two ways to do this
The first way is to set up a percent proportion
[tex]\frac{72}{x}[/tex] = [tex]\frac{40}{100}[/tex]
To find x, we can do:
x = [tex]\frac{72 * 100}{40}[/tex]
x = [tex]\frac{7200}{40}[/tex]
x = 180
72 is 180% of 40
There is an 80% increase.
The second way to do it (the way I find easier) is to use benchmark fractions:
We look at 40 and 72 and realize that (40 * 2) - 8 = 72
So 200% of 40 - 8 = 72
Then, we find out what percent of 40 is 8.
10% of 40 is 4
so that means 20% of 40 is 8 (10% * 2 = 4 * 2)
Then we do:
80 - 8 = 72
200% - 20% = 180%
72 = 180% of 40
Which is an 80% increase
Let me know if you have any questions
impact of humour in specific language structure
Answer:
Summary
Interest in the linguistics of humor is widespread and dates since classical times. Several theoretical models have been proposed to describe and explain the function of humor in language. The most widely adopted one, the semantic-script theory of humor, was presented by Victor Raskin, in 1985. Its expansion, to incorporate a broader gamut of information, is known as the General Theory of Verbal Humor. Other approaches are emerging, especially in cognitive and corpus linguistics. Within applied linguistics, the predominant approach is an analysis of conversation and discourse, with a focus on the disparate functions of humor in conversation. Speakers may use humor pro-socially, to build in-group solidarity, or anti-socially, to exclude and denigrate the targets of the humor. Most of the research has focused on how humor is co-constructed and used among friends, and how speakers support it. Increasingly, corpus-supported research is beginning to reshape the field, introducing quantitative concerns, as well as multimodal data and analyses. Overall, the linguistics of humor is a dynamic and rapidly changing field.Step-by-step explanation:
Please help me Answer this :)
( Will give brainlst!!)
<3
Answer:
( it's below)
Step-by-step explanation:
a. electron
b. proton
c. neutron
d. electron shell
Answer:
a:Electron
b:proton
C:neutron
d:electron shell
A prehistoric site was discovered. The site is a nearly perfect circle
Answer:
whats the question
Step-by-step explanation:
what is the perimeter, in centimeters, of a right triangle that has leg lengths of 8centimeters and 11 centimeters? round to the nearest tenth
Answer:
90
Step-by-step explanation:
8 x 11 = 88
So now you have to add 2 to get to the nearest 10. ;)
What is log5x=4 in exponential form
Answer:
Step-by-step explanation:
If you mean log₅(x) = 4, take the antilog₅ of both sides.
x = 5⁴
Volume of of 7cm 4cm 5cm
Answer:
140
Step-by-step explanation:
You multiply 7 by 4 you get 28. Then multiply 28 by 5 you get 140.
5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?
Answer:
3/4 a pan
Step-by-step explanation:
2 - 1 1/4 = 3/4
two seperated into fourths would look like this
1/4 1/4 1/4 1/4
1/4 1/4 1/4 1/4
one seperated into fourths would look like this
1/4 1/4 1/4 1/4
so take one and one extra fourth away from two and you're left with
1/4 1/4 1/4
add that together and you have 3/4
In rectangle ABCE, AC is the diagonal. BD⟂AC at O. AB = 13, OA=5. Find the length of OD and OB
plz answer with explanation
Answer:
ABCD is a parallelogram. The diagonals AC and BD intersect at O. If AB = 6 cm, = AC = 11 cm and BO =3.5 cm what is the length of AD?
The diagonals AC and BD bisect each other, therefore AO = OC = 5.5 cm.
The area of triangle AOB = COD = [s(s-a)(s-b)(s-c)]^0.5
Here a = 6, b = 5.5, c = 3.5, so 2s = 15 or s = 7.5. So
[s(s-a)(s-b)(s-c)]^0.5 = [7.5(7.5–6)(7.5–5.5)(7.5–3.5)]^0.5
= [7.5*1.5*2*4]^0.5
= 90^0.5 sq cm
Area of triangle ADC = 2 x area of triangle AOB = 2*90^0.5 sq cm, or
2*90^0.5 = [(s1(s1-p)(s1-q)(s1-r)]^2, squaring both sides we get
4*90 = [s1(s1-p)(s1-q)(s1-r)]
360 = s1(s1–11)(s1–6)(s1-AD) … (1)
2s1 = AD + 11 + 6 = AD + 17, or
s1 = 8.5 + 0.5AD … (2). Put the value of s1 from (2) in (1) to get
360 = (8.5 + 0.5AD)(8.5 + 0.5AD-11)(8.5 + 0.5AD-6)(8.5 + 0.5AD-AD)
360 = (8.5 + 0.5AD)(0.5AD-2.5)(0.5AD+2.5)(8.5 - 0.5AD)
360 = (8.5^2 - 0.5AD^2)(0.25AD^2–6.25)
= - (8.5^2 - 0.5AD^2)(6.25 - 0.25AD^2)
= - (72.25 -0.5AD^2)(6.25 - 0.25AD^2)
360 = - [451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3], or
-360 = 451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3, or
0.125AD^3 - 21.1875 AD^2 + 451.5625 + 360 = 0, or
0.125AD^3 - 21.1875 AD^2 + 811.5625 = 0, or
AD^3 - 168.5 AD^2 + 6492.5 = 0, or
By trial and error, AD = 6.3272
Check: AD^3 - 168.5 AD^2 + 6492.5
6.3272^3 - 168.5*6.3272^2 + 6492.5
253.3- 6745.6 + 6492.5 = 0.2 as against 0
Hence AD = 6.3272 cm.
Answer:
Assuming you really mean the rectangle is ABCD, not ABDE:
Since DB is perpendicular to AC, it must be square.
If OA = 5, then OB = OC = OD = 5
This isn't possible because the triangle made by ABO would be a right triangle and AO^2 + BO^2 would equal AB^2. It does not.
5^2 + 5^2 =AB^2 = 7.07, not 13
what is 0.46 as a fraction in simplest form, a fraction of 100, and a percent
Answer:
46/100
23/50
46%
Answer:
bleh
Step-by-step explanation:
so that da other guy can get brainliest
evaluate 3 + jk + k3 when j = 2 and k = 6.
Answer:
231
Step-by-step explanation:
Choose the symbol that goes in the blank to make the statement true.
96,000 _ 128,000 = < >
Answer:
<
Step-by-step explanation:
hhahaha
Find the area of a triangle with a base of 7 cm and a height of 3 cm.
21 cm squared
10.5 cm squared
20 cm squared
10 cm squared
Answer:
10.5 cm
Step-by-step explanation:
took the test
find the value of y and (4x+8)°
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4