Applying the equation for the area of the trapezoid, it is found that the height is of 10 cm.
The area of a trapezoid is half the multiplication of the sum of the bases and the height, that is:
[tex]A = \frac{h}{2}(b_1 + b_2)[/tex]
For this problem, we have that: [tex]A = 205, b_1 = 20, b_2 = 21[/tex], hence:
[tex]A = \frac{h}{2}(b_1 + b_2)[/tex]
[tex]205 = \frac{h}{2}(20 + 21)[/tex]
[tex]20.5h = 205[/tex]
[tex]h = \frac{205}{20.5}[/tex]
[tex]h = 10[/tex]
The height is of 10 cm.
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Answer:
The height of trapezoid is 10 cm.
Step-by-step explanation:
Given :
»» [tex]\rm{b_1}[/tex] = 20 cm»» [tex]\rm{b_2}[/tex] = 21 cm»» [tex]\rm{area}[/tex] = 205 cm²To Find :
»» Height of trapezoidUsing Formula :
[tex]{\star{\small{\underline{\boxed{\sf{\red{Area_{(Trapezoid)} = \dfrac{1}{2} \Big(b_1 + b_2\Big)h}}}}}}}[/tex]
✧ [tex]\rm{b_1}[/tex] = 20 cm✧ [tex]\rm{b_2}[/tex] = 21 cm✧ [tex]\rm{area}[/tex] = 205 cm²Solution :
Substituting all the given values in the formula to find height of trapezoid :
[tex]{\dashrightarrow{\small{\sf{Area_{(Trapezoid)} = \dfrac{1}{2} \Big(b_1 + b_2\Big)h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \Big(20 + 21\Big)h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \Big( \: 41 \: \Big)h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \times 41 \times h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{ 41}{2}\times h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{h = 205 \times \dfrac{2}{41}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{h = \cancel{205} \times \dfrac{2}{\cancel{41}}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{h =5 \times 2}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{h =10 \: cm}}}}[/tex]
[tex]{\star{\small{\underline{\boxed{\frak{\pink{h =10 \: cm}}}}}}}[/tex]
Hence, the height of trapezoid is 10 cm.
[tex]\rule{300}{1.5}[/tex]
The scale for an
airplane is 1 cm
for 15 feet. If the
plan is 9 cm
long, how long is
the actual plane?
Answer:
135 ft
Step-by-step explanation:
Each centimeter represents 15 feet, so 9 centimeters will represent ...
9 × 15 ft = 135 ft
The plane is 135 feet long.
Stacey is selling popcorn at a rate of $2 per bag. She is only charging a one time thing for $0.50 for tax. What is the equation of this description?
To attend a class field trip, each student will have to pay 3$ for a theater ticket and $2.50 for transportation. If there are 200nstudents in the class, how much money will be collected for the field trip?
Answer:
1100
Step-by-step explanation:
because everyone will be giving 5.5 dollars and if you multiply that with 200 you get 1100
Answer:
1,100
Step-by-step explanation:
the monthly income of a family is rs 2500 the ratio of the expenditure and saving is 3:2 find amount of saving.
Answer:
The amount of saving is Rs.1000.
Step-by-step explanation:
Solution :
Let the,
>> Expenditure = 3x>> Saving = 2xSo, solving for x.
[tex]{\dashrightarrow{\tt{Expenditure + Saving = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{3x + 2x = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{5x = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{x = 2500 \div 5}}}[/tex]
[tex]{\dashrightarrow{\tt{x = \dfrac{2500}{5}}}}[/tex]
[tex]{\dashrightarrow{\tt{x = \cancel{\dfrac{2500}{5}}}}}[/tex]
[tex]{\dashrightarrow{\tt{x =500}}}[/tex]
[tex]{\star{\underline{\boxed{\tt{\red{x =500}}}}}}[/tex]
Hence, the value of x is 500.
Thus,
>> Expenditure = 3 × 500 = Rs.1500>> Saving = 2 × 500 = Rs.1000[tex] \rule{300}{1.5}[/tex]
how to find the perimeter of a triangle with vertices
Answer:
P = A + B + C
Step-by-step explanation:
Essentially, just add the length of each side. The sum is the perimeter.
Hit brainliest if this was helpful :)
add each side
hope ithelps you
This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,
20% still got the flu. Of those who did not receive the flu shot, 65% got the flu.
Use the tree diagram to determine the probability that a person with the flu is a person who received a flu shot.
Enter your answer as a decimal to the ten thousandths place.
=> 0.1165
Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Person has the flu.Event B: Person got the flu shot.The percentages associated with getting the flu are:
20% of 30%(got the shot).65% of 70%(did not get the shot).Hence:
[tex]P(A) = 0.2(0.3) + 0.65(0.7) = 0.515[/tex]
The probability of both having the flu and getting the shot is:
[tex]P(A \cap B) = 0.2(0.3) = 0.06[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165[/tex]
0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.
To learn more about conditional probability, you can take a look at https://brainly.com/question/14398287
Answer:
flu shot
flu
no flu
.30
.20
Step-by-step explanation:
trust
Katrina is solving the equation x minus 2 (x 3) = 4 (2 x 3) minus (x 4). Which equivalent equations might Katrina use? Check all that apply. X minus 2 x minus 6 = 8 x 12 minus x minus 4 x minus 2 x 6 = 8 x 12 minus x 4 x minus 2 x minus 6 = 8 x 12 minus x 4 x minus 2 x 3 = 8 x 3 minus x 4 Negative x minus 6 = 7 x 8 Negative x 6 = 7 x 16 Negative x minus 6 = 7 x 16 Negative x 3 = 7 x 7.
The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Given the equation solved by Katrina expressed as;
x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).Expand using distributive law;
x - 2x - 6 = 4(2x) + 4(3) - x - 4
x - 2x - 6 = 8x + 12 - x - 4
-x - 6 = 7x + 8
-x - 7x = 8 + 6
-8x = 14
x = 14/-8
x = -7/4
Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Learn more on expressions here: https://brainly.com/question/24734894
The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Given the equation solved by Katrina expressed as;
x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).
Expand using distributive law;
x - 2x - 6 = 4(2x) + 4(3) - x - 4
x - 2x - 6 = 8x + 12 - x - 4
-x - 6 = 7x + 8
-x - 7x = 8 + 6
-8x = 14
x = 14/-8
x = -7/4
Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Learn more on expressions here: brainly.com/question/24734894
What is the GCF of 14mn, 56m^2n^3, 28m^3n^2?
a) 7m^2n^2
b) 7mn
c) 14m^3n^3
d) 14m^2n^2
e) 14mn
Answer:
e) 14mn.
Step-by-step explanation:
The GCF of 14, 56 and 28 is 14,
The GCF of m, m^2 and m^3 is m.
The GCF of n, n^2 and n^3 is n.
The answer is therefore 14mn.
Between which two intervals on the number line is V38?
A.) 6.0 and 6.05
B.) 6.6 and 6.65
C.) 6.15 and 6.2
D.) 6.1 and 6.15
I NEED HELP ON THIS MATH PROBLEM ASAP
Answer:
y= -5x +5
Step-by-step explanation:
Given that m||n, determine the relationship between ∠9 and ∠15.
The relationship between ∠9 and ∠15 is (c) alternate exterior angles.
There are several relationships that can be formed by angles within the transversal of parallel lines.
From the attached figure, we can see that angles ∠9 and ∠15 are exterior angles of parallel lines m and n.
Because these lines are parallel, then both angles are alternate exterior angles.
Read more about parallel lines at:
https://brainly.com/question/24607467
Solve: x + 1 < 4 and 3 - x > 5
Answer:
okokok
Step-by-step explanation:
X - 5V + 17 = 0 2x+ V + 1 = 0
Answer:
x= -[tex]\frac{10}{3}[/tex], v = [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
x= - 10/3, v = 7/3
jus so u want to copy so u don't have to type ur self
I need help with this question ASAP!
Which inequality is true when x = 4?
Answer:
x + 5 < 3
Step-by-step explanation:
One inequality could be x > 3. So when x = 4 this is true because 4 is greater than 3.
Please answer the following question
(d+m)A=2
A= ?
Answer:
A is equal to 3
please mark me as brianleast
The area of a rectangle is 65 square inches.
The length is x + 5, and the width is x – 3.
Find the value of x, and the dimensions of the rectangle.
A = lw
x=
length =
width=
Answer:
x=-10,8
length=13
width=5
Step-by-step explanation:
(x+5)(x-3)=65
x^2+2x-15-65=0
x^2+2x-80=0
(x+10)(x-8)=0
x=-10,8
x+5
(-10)+5=-5, negative length does not make sense
x+5
8+5=13
x-3
(-10)-3=-13, negative width does not make sense
x-3
(8)-3=5
Answer:
x=8
length= 13inches
width=5inches
Step by step explanation:
A=lw
65= (x+5)(x-3)
65= x²-3x+5x-15
x²+2x-80=0
x²+ 10x - 8x - 80 = 0
x(x+10) -8(x+10) = 0
(x-8)(x+10)=0
x= 8 or -10
x cannot be negative
hence x= 8
length= x+5
=8+5
=13inches
width= x-3
=8-3
=5inches
On a scale drawing of a town,two landmarks are shown 6 inches apart. These two places are actually separated by 54 miles. What is the map's scale? 1 inch = ______ miles
Answer:
9
Step-by-step explanation:
[tex]54 \div 6 = 9[/tex]
the regular price of a sweatshirt is 25.00 what is the cost of the sweatshirt if u only pay 60% of the regular price
can someone please awnser this right away
Answer:
[tex]25 \times \frac{60}{100} = 15[/tex]
Step-by-step explanation:
Multiply 25 by 60%
order the numbers from least to greatest .
least to greatest
-4.5
-4
-3 1/2
-3
2.5
Answer:
-4.5, -4, -3 1/2, 2.5, 3
Step-by-step explanation:
Suppose y varies directly with x where y=21 when x=7 find y when x = 15
Help again please
A stack of 400 pieces of paper is 1.800 inches tall.
A. Derion guesses that each piece of paper is 0.015 inches thick. Explain how you know that Derion’s answer is not correct.
B. Compute the thickness of each piece of paper. Show your reasoning.
What is the measure of angle PNL?
43°
47°
86°
94°
Answer:
43°
Step-by-step explanation:
Answer:
A- 43
Step-by-step explanation:
ed2022
A laptop has a listed price of $613.99 before tax. If the sales tax rate is 8.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$666.18
Step-by-step explanation:
613.99 x (1+(8.5/100)) = 666.17915 (rounded up to 666.18)
simply 5(x-y)+2(x+y)
Answer:
5x-5y+2x+2y
7x-3y
That's it
5(2+(-9))+-25
HELP
PLZZ
Answer:
-115
Step-by-step explanation:
Using BODMAS
+(-9) = -9
2(-9) = -18
5(-18) = -90
(-90) + (-25) = -90 - 25 = -115
simplify 7 1/3t-(10 2/3t-6) it looks crazier than it is pls help
Answer:
7/3t-2(10/3t-3)
Step-by-step explanation:
7*1/3t=7/3t
-(10*2/3t-60)=-2(10/3t-3)
=7/3t-2(10/3t-3)
Identify the terms and like terms in the expression.3n+7−n−3
Answer:
n
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers.
HELP PLZ I NEED THIS DONE ASAP
Answer:
Step-by-step explanation:
The answer would be -19
Hope you could get an idea from here.
Doubt clarification - use comment section.
In Lucy's coin collection, 15% of the coins are quarters.
If there are 12 quarters, find the total number of coins in Lucy's coin collection.
The total number of coins in Lucy's coin collection is equal to 80 coins.
Let the total number of coins be C.Given the following data:
Percentage of quarters = 15%Total number of quarters = 12 quartersTo the total number of coins in Lucy's coin collection:
Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.
Total number of coins:
[tex]\frac{15}{100} \times C = 12\\\\15C=12 \times 100\\\\15C =1200\\\\C=\frac{1200}{15}[/tex]
C = 80 coins.
Read more on word problem here: https://brainly.com/question/24604067
Answer:
80 coins
Step-by-step explanation:
Let the total number of coins be C.
Given the following data:
Percentage of quarters = 15%
Total number of quarters = 12 quarters
To the total number of coins in Lucy's coin collection:
Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.
Total number of coins:
C = 80 coins.
So the total number of coins in Lucy's coin collection is 80 coins.