What is the area
this trapezoid?
6 m
1 m
3 m
5 m
o
A. 14 m2
O
B. 18 m2
O
C. 21 m2
O
D. 35 m2
Answers
Answer:
Area of the trapezoid = 18 m²
Step-by-step explanation:
Formula to calculate the area of a trapezoid is,
Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Where [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides of the trapezoid
And h = distance between the parallel sides
From the figure attached,
[tex]b_1[/tex] = 5 m
[tex]b_2[/tex] = (6 + 1) = 7 m
h = 3 m
By substituting these values in the formula,
Area of a trapezoid = [tex]\frac{1}{2}(5+7)3[/tex]
= 6 × 3
= 18 m²
Therefore, area of the given trapezoid is 18 m².
Related Questions
Let L be the line with parametric equations x=2+t, y=1-t, z=1+3t.Let v=(1,2,0).Find vectors w1 and w2 such that v= w1 + w2, and such that w1 is parallel to L and w2 is perpendicular to L.
Answers
Answer:
w1 = (-1/11, 1/11, -3/11)
w2 = (12/11, 21/11, 3/11)
Step-by-step explanation:
Direction ratio of w1 = Direction ratio of L (because parallel) = K+(1, -1, 3)
Let <a,b,c> be direction ratio of w2.
Then, <a,b,c>. <1,-1,3> = 0
a-b+3c = 0
v = w1 + w2
(1, 2, 0) = k(1, -1, 3) + (a, b, c)
a + k = 1
b - K = 2
c - 3k = 0
Solving 4 equations, a = 12/11, b= 21/11, c = 3/11, k=-1/11
So, w1 = -1/11(1, -1 ,3) = (-1/11, 1/11, -3/11)
w2 = (12/11, 21/11, 3/11)
10.) A meat shop sold 4 1/6 pounds of sausage and 4 times as much burger as sausages. How
many pounds of burgers were sold?
Answers
you just need to multiply 4 1/6 by 4
2 squared+ 1 squared=?
Answers
2 squared = 4
1 squared = 1
4+1=5
Therefore 5 is your answer
Answer:
the answer is five(5).
The age of employees at a company is an example of _____.a. quantitative datab. label datac. time series datad. categorical data
Answers
Answer:
Quantitative data
Step-by-step explanation:
When we measure something, then we can quantify them. By also making a count, we are trying to quantify a particular entity.
Now in this case, we know that age is something we can quantify or measure. By nothing the difference between the year of birth and the present year, we can simply give the number of years or simply how
old a person is.
This clearly show that we have measured the count of that entity. This makes age an example of quantitative data
categorical data Step-by-step explanation:
How many gallons of a 60% antifreeze solution must be mixed with 70 gallons of 20% antifreeze to get a misture that is 50% antifreeze? Use the she-step method
Answers
Answer:
210 gaL 60 % Antifreeze IIStep-by-step explanation:
In the problem, there are two types of antifreeze
antifreeze I and
antifreeze II
antifreeeze I 20 ----70 gal
Antifreeze II 60 ----- x gal
Total 50 ---------------- (70 + x ) gal
20*70+60*x=50(70+x)
1400+60x=3500+50x
60x-50x=3500-1400
10x=2100
x= 210
x=210 gaL 60 % Antifreeze II
In the sequence 1. 2. 3. 4. 1.2.3.4... the numbers 1.2.3.4
repeat indefinitely. What is the sum of the first 150 terms?
A. 300
B. 77
C 37
D.3
Answers
=============================================
Explanation:
The sequence {1,2,3,4,1,2,3,4...} has "1,2,3,4" repeat forever. We can say that the cycle is 4 terms before it restarts the pattern again. Because of this 4-cycle pattern, we know that 150/4 = 37.5 = 37 full cycles happen. The leftover part is of length 150-37*4 = 2.
In short we have 37 full cycles of {1,2,3,4} happening. The last leftover bit has {1,2} only
In the subsquence {1,2,3,4} its sum is 1+2+3+4 = 10. Having 37 copies of {1,2,3,4} leads to a sum of 37*10 = 370 so far.
Then we add on the last bit 1+2 = 3 to get 370+3 = 373.
Therefore, the sum of the first 150 terms is 373. I think your teacher made a typo when listing out the answer choices. Please double check to make sure.
The Fairy Tale Spectacular is coming to town. Admission to the fair costs $32.50 and each ride costs $0.80. You have $50 to spend at the Fairy Tale Spectacular including admission. What is the maximum number of rides you can enjoy?
Answers
Answer:
21 rides
Step-by-step explanation:
let x = number of rides you can ride
32.50 + 0.80x [tex]\leq[/tex] 50
subtract 32.50 from both sides
0.8x [tex]\leq[/tex] 17.5
divide the left and right by 0.8
x [tex]\leq[/tex] 21.875
this means you can ride 21 times, because you can't ride a ride unless you can afford the whole cost
how to check; 32.50 + 0.8(21) is 49.30 and 80 cents more would go over your 50 dollar spending limit
WHICH BEST DESCRIBES THE ASSOCIATION SHOWN IN THE SCATTER PLOT?
Answers
Answer:
strongly negative
Step-by-step explanation:
In a run-off election between two candidates, a total of 25,200 votes were cast. If 300 voters had switched
from the winner to the loser, the loser would have won by 200 votes. How many votes did each candidate
actually receive?
Answers
Step-by-step explanation:
yikes that's hard GG bro
Answer:
The winner received 12,800 votes and the loser received 12,400.
Step-by-step explanation:
Divided the votes in half, then took 100 votes from the winner, defined W, and added 100 to the loser, defined L to give the Loser a lead of 200. Then switch 300 votes from the losers number to the winner. You'll end up with 12,800 and 12,400 and you can check by switching 300 voters from winner (12,800) to loser (12,400) to make the loser win by 200 votes. 12,800 and 12,400 also add up to 25,200.
Chris drove 693 miles in 11 hours.
At the same rate, how many miles would he drive in 13 hours?
Answers
Answer:
693/11. Cris is driving 63 mph.
Step-by-step explanation:
if you want to see how many miles he would go is 13 hours multipy 13 by 63 which is 819.
He would go 819 miles in 13 hours.
hope this helps.
Step-by-step explanation:
First find 1 hour=how many miles
What is the vertex of f(x) = |x + 8| – 3?
Answers
Answer:
(-8,-3)
Step-by-step explanation:
This question is similar to the vertex form of a quadratic equation, so you can think of this equation like f(x) = (x-h)+k. Using this equation, you can determine the vertex (h,k) of |x+8|-3, which is (-8,-3).
Step-by-step explanation:
Its B
edge 2021 :))
jenny solved the equation 1-(2x+4)=-4x+5 what her error
Answers
Step-by-step explanation:
1-(2x+4)= 1-2x-4= -2x-3
What is the value of the expression 5X minus Y when X equals three and Y equals one is it 14,10,7,0,
Answers
Answer:
14
Step-by-step explanation:
When x = 3 and y = 1,
5x - y works out to 5(3) - 1 = 14
What is 8.3-2.57 I really need this answer fast thanks
Answers
Answer: 5.73
Step-by-step explanation:
Can someone please help me with this problem: solve 14 = 2a/9. A =
Answers
Answer:
[tex]a=63[/tex]
Step-by-step explanation:
[tex]14=\frac{2a}{9}[/tex]
Switch sides:
[tex]\frac{2a}{9}=14[/tex]
Multiply both sides by 9:
[tex]\frac{9\cdot \:2a}{9}=14\cdot \:9[/tex]
[tex]2a=126[/tex]
Divide both sides by 2:
[tex]\frac{2a}{2}=\frac{126}{2}[/tex]
[tex]a=63[/tex]
Find the unit rate.
64 ounces in 4 cans
Answers
Answer:
16 ounces per can
Step-by-step explanation:
64/4 oz = 4/4 cans
16 oz = 1 can
The unit rate is 0.16 ounces per can.
What is the quotient? 457.6 divided by negative 286 –16 –1.6 1.6 16
Answers
Answer:
-1.6
Step-by-step explanation:
The quotient when 457.6 is divided by - 286 is - 1.6.
What are quotient, remainder, divisor, and dividend?The number which is being divided is the dividend.
The number with which we are dividing is the divisor.
The result when a dividend is divided by the divisor is the quotient.
A remainder is the extra portion of a number when it isn't completely divisible.
We know A number N divided by D with quotient Q and the remainder R can be written as,
N = DQ + R.
Given, The quotient when 457.6 is divided by - 286 is - 1.6.
learn more about quotient here :
https://brainly.com/question/16134410
#SPJ2
1. Justin Joseph presses shirts at All Day Cleaners. He gets paid $0.37 per shirt. Last week he pressed 649
shirts. What was his total pay?
Answers
Answer:
$240.13
Step-by-step explanation:
all you do in this question is muitply
649 by 0.37 which equal 240.13
Answer:
240.13
sounds simple
.37 x 649 = 240.13
find the measure of the angle marked with a? Using the inverse trig functions. Round your answer to the nearest degree.
Answers
Answer: 52°
Step-by-step explanation:
[tex]\sin \theta=\dfrac{\text{side OPPOSITE of angle}}{\text{HYPOTENUSE}}\\\\\\\sin \theta =\dfrac{23}{29}\\\\\\.\quad \theta=\sin ^{-1}\bigg(\dfrac{23}{29}\bigg)\\\\\\.\quad \theta =52.47^o[/tex]
Rounded to the nearest degree: Ф = 52°
Step-by-step explanation:
Hey there!
Here;
The figure given is a Right angled triangle.
Let the unknown angle be a refrence angle.
Now,
p = 23
h = 29
In ratio of sin there is 'p' and 'h'. So, using sin ratio.
[tex] \sin( \alpha ) = \frac{p}{h} [/tex]
[tex] \sin( \alpha ) = \frac{23}{29} [/tex]
[tex] \alpha = { \sin}^{ - 1} (0.7931034)[/tex]
[tex] \alpha = 52.47°[/tex]
Therefore the the angle is 52°.
Hope it helps..
88,352 rounded to the nearest ten
Answers
88,352
EXPLANATION,
Remember your rounding rules 5 or above it goes up, anything below rounds down. Since we are talking about the tens we are looking at the 5 in this equation. 52 rounds down to 50
-4 + 4x + 4 = -24 - 8x *
Answers
Answer: X= -2
Step-by-step explanation:
-4+4x+4=-24-8x
4x=-24-8x
12x=-24
X=-2
12-21-3x5
What is the answer to this Order of operation question
Answers
Answer:
-24
Step-by-step explanation:
first multiply -3 and 5 to get -15
so it will be 12-21-15 then subtract 12-21 and you get -9
then do -9-15=24
hope this helps :)
So for this multiplication goes first (3x5) = 15
Then we are left with (12-21-15)*left to right*
So (12-21) =-9
Finally we are left with (-9-15) = -24
The answer is -24
1. Solve the equation: p + 15 = 51
a. p = 65
b. p = 46
C. p = 66
d. p = 36
Answers
Answer:
D. 36
Step-by-step explanation:
51-15= 36
Give the equation of the line through the point (14,6) with a slope of -9/7 in slope-intercept form
Answers
Answer:
Step-by-step explanation:
y - 6 = -9/7(x - 14)
y - 6 = -9/7x + 18
y = -9/7x + 24
Use a stem-and-leaf plot to display the data, which represent the scores of a biology class on a midterm exam. Describe any patterns.
85
80
87
67
88
95
91
78
75
84
90
94
82
98
80
89
92
68
75
91
87
76
91
85
Determine the leaves in the stem-and-leaf plot below.
Key: 3|3 = 33
Exam Scores
6|
7|
8|
9|
*this is for statistics, any help is appreciated please*
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
85
80
87
67
88
95
91
78
75
84
90
94
82
98
80
89
92
68
75
91
87
76
91
85
STEM | LEAF
6 | 7 _ 8
7 | 5 _ 5 _ 6 _ 8
8 | 0_0_2_4_5_5_7_7_8_9
9 | 0_1_1_1_2_4_5_3
The statistics which could be obtained fro the data include; The range = (98 - 67) = 31
Number of observations = 24
Mode of data = 91 ( most occurring number)
Median = 50th percentile = 86
Mean = Σx / N
= Σx = 2028
Mean = 2028 / 24 = 84.5
For every $2 Pam saves, her brother saves $7. If Pam has $20 in her account how much does her brother have?
Answers
Answer:
70
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. Consider this expression. Vas – 7+ 161 When a = 2 and b = -4, the value of the expression is
Answers
Correct Question:
Type the correct answer in the box. Use numerals instead of words. Consider this expression. [tex]\sqrt{a^2} - 7 + |b|[/tex] When a = 2 and b = -4, the value of the expression is
Answer:
[tex]\sqrt{a^2} - 7 + |b| = -1[/tex]
Step-by-step explanation:
Given
[tex]a=2[/tex]
[tex]b = -4[/tex]
Required
Determine [tex]\sqrt{a^2} - 7 + |b|[/tex]
To solve this, we simply substitute the values of a in the given expression
[tex]\sqrt{a^2} - 7 + |b|[/tex]
[tex]\sqrt{a^2} - 7 + |b| = \sqrt{2^2} - 7 + |-4|[/tex]
Express 2² as 4
[tex]\sqrt{a^2} - 7 + |b| = \sqrt{4} - 7 + |-4|[/tex]
Express square root of 4 as 2
[tex]\sqrt{a^2} - 7 + |b| = 2 - 7 + |-4|[/tex]
[tex]|-4| = 4[/tex]
So, we have
[tex]\sqrt{a^2} - 7 + |b| = 2 - 7 + 4[/tex]
[tex]\sqrt{a^2} - 7 + |b| = -1[/tex]
Hence, the result of the expression is -1
PLEASE HELP 100 POINTS PLEASE HELP 100 POINTS The ratio between the number of students (s) on a field trip and the number of teachers (t) on the field trip is 21/4. There are 84 students going on a field trip. How many teachers must go?
Answers
Answer:
16 teachers.
Step-by-step explanation:
84 / 21 = 4
4 * 4 = 16
Hope this helped. Please give brainly if its the best!
Answer:
[tex] \huge \colorbox{blue}{16 students}[/tex]
Step-by-step explanation:
we are given the ratio of students and teachers:
[tex] \displaystyle \: \frac{21}{4} [/tex]
which means if the number of students is 21 then the number of teachers should be 4
to find how many teachers should go if students 84 we have to divide 84 by [tex]21/4[/tex] :
[tex] \displaystyle \: 84 \div \frac{21}{4} [/tex]
simplify division:
[tex] = \displaystyle \: 84 \times \frac{4}{21} [/tex]
simplify multiplication:
[tex] = \displaystyle \: \cancel{ 84} \: ^{4} \times \frac{4}{ \cancel{21}} \\ = 4 \times 4 \\ = 16 [/tex]
A line segment has the endpoints V(–3, –5) and W(16, –10). Find the coordinates of its midpoint M.
Answers
Answer:
(6.5, -7.5)
Step-by-step explanation:
Use the midpoint formula (x1 + x2) / 2 , (y1 + y2) / 2
Plug in the points:
(-3 + 16) / 2 , (-5 - 10) / 2
13/2 , -15/2
6.5, -7.5
So, the coordinates of midpoint M are (6.5, -7.5)
portia has 72 postcards this is. 8 time as many as jonathan has how many postcards does jonathan have
