Answer:
[tex]A=75.37\ m^2[/tex]
Step-by-step explanation:
Given that,
The base of a trapezoid, b = 21.6 m
Height of the trapezoid, h = 4.5 m
The tope of the trapezoid, a = 11.9 m
We need to find the area of a trapezoid. The formula for the area of a trapezoid can be given by :
[tex]A=\dfrac{1}{2}\times (sum\ of\ parallel\ sides)\times height[/tex]
Put all the values,
[tex]A=\dfrac{1}{2}\times (21.6+11.9)\times 4.5\\\\=75.37\ m^2[/tex]
Hence, the area of a trapezoid is equal to [tex]75.37\ m^2[/tex].
PLEASE HELP
do question 8 and 9
Answer:
x=7
x=4
x=1/9
Step-by-step explanation:
For number 9 you can either type out the work or say something like:
To solve all of the problems in Question 8 I had to move all of the terms without an (x) to the right side. After I did this I divided everything by the number attached to the (x) to find the value of (x) by itself.
Answer and Step-by-step explanation:
8a.
3x + 6 = 27
Subtract 6 from both sides.
3x = 21
Divide 3 from both sides.
x = 7
8b.
6x + 3 = 27
Subtract 3 from both sides.
6x = 24
Divide 6 from both sides.
x = 4
8c.
27x + 3 = 6
Subtract 3 from both sides.
27x = 3
Divide 27 from both sides.
x = 3/27
Simplify the fraction
x = 1/9
9.
The above steps are the reasonings for the above answers.
Alternate exterior angles are congruent which angle forms a pair of alternate exterior angles with angle 2?
Answer:
[tex] \measuredangle \: \boxed{7}[/tex]
Step-by-step explanation:
[tex] \measuredangle \: 2 = \measuredangle \: \boxed{7} \\ (alternate \: exterior \: \angle s)[/tex]
Find the final amount of money in an account if
$
7
,
200
is deposited at
6
%
interest compounded annually and the money is left for
6
years.
Answer:
$10,213.34
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r/n)^t
Given that;
P = $7,200
rate r = 6% = 0.06
Time t = 6years
n = 1
Substitute into the formula
A = 7200(1+0.06)^6
A = 7200(1.06)^6
A = 7200(1.4185)
A = 10,213.34
Hence the final amount is $10,213.34
PLEASE EXPLAIN YOUR FREAKING ANSWER IVE BEEN DOING THIS ALL NIGHT AND NO ONE ACTUALLY HAS HELPED ITS DUE SOON PLS IM BEGGING U
Answer:
B
Step-by-step explanation:
First we find out over how many years the growth happened, from 1985 to 2020, that's 35 years.
In 1985 the club had 23,000 members, and it grew at an ave. rate of 5% each year. So, to find out 5% of 23,000 we can divide it by 100 to find 1% and then multiply by 5.
23,000 / 100 = 230 now 230 times 5 is 1150, to check our work we can multiply 1150 by 20 because it is 5% to get 100% and it is 23000 so we are on track so far. Now over the span of 35 the club grew by 1,150 each year, so, 1150 times 35 is 40,250 and if we add that to 23,000 we get 63,250. Round to the nearest thousand which would be
B. 78,000 but I may have went about solving exponential growth wrong but if this is the answer you have been getting there you go.
A 50 foot ladder is set against the side of a house so that it reaches up 40 feet. If Aisha grabs the ladder at its base and pulls it 9 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 31 ft.) Round to the nearest tenth of a foot.
Answer: ~31.3
first use the pythagorean theorem. a^2+(40)^2=50^2.
simply. a+1600=2500. subtract 1600 from both sides. a^2=900.
square root both sides to get a= 30
then find how far the top of the ladder is from the ground once in its new position.
a^2+(39)^2=50^2.
simplify. a^2+1512=2500. subtract 1512 from both sides to get a^2=979.
square root both sides to get a=31.288975. round to the nearest tenth to get a=31.3
Answer:
Step-by-step explanation: iT'S 31.3
Select ALL the correct answers.
Which of the following statements are true about the equation below? x^2-6x+2=0
If x = 81, what is the value of x(x - 6)?
A.
6,075
B.
156
C.
7,047
D.
6,642
Answer:
A
Step-by-step explanation:
How many times greater is 8.4x10^4 than 2.1x10^2
Answer:
4 times greater
Step-by-step explanation:
[tex]8.4*10^2=840\\2.1*10^2=210\\840/210=4\\[/tex]
Answer:
C. 400 times greater
Step-by-step explanation:
8.4 · [tex]10^{4}[/tex]
84000
2.1 · 10²
210
84000 ÷ 210 = 400
C. 400 times greater
Alex and DJ go to the movies at 5:15. The movie lasts 2 hours and 25 minutes. What time did they get out of the move?
Answer:
7:40
Step-by-step explanation:
simplify 2 1/2 times 3/4
Answer:
[tex] \frac{5}{2} \times \frac{3}{4} \\ \frac{15}{8} [/tex]
Answer:
15/8
Step-by-step explanation:
2.5/2 = 1.25
1.25/2 = 0.625
2.5 - 0.625 = 1.875
1.875 = 75/40 = 15/8
How many Perpendicular lines does an H have
Answer:
it has two line
Step-by-step explanation:
6. What is the area of he trapezoid? Help Please
Answer:
It’s G. 330 m^2
Step-by-step explanation:
The formula for a trapezoid is (a+b)/2 times h.
So a is base one and b is base two and the h is the height.
So it would be like (19+41)/2 X 11 then you would get
60/2 X 11
30 X 11 equals 330
solve the quadratic equation. x^2 + x = 12
Answer:
-4, 3
Step-by-step explanation:
see steps below
In training, Kayden does
reps
where
he bench presses 65 kilograms. How
many reps does he have to do to
bench press a total of 1 metric ton?
Answer:
0.065 metric tons
Step-by-step explanation:
Given
65 kg
To find
Convert 65 kg to metric tons
Then, the answer is 0.065 metric tons
What is $45.79 multiplied by .50 equal
Answer:
686.85
Step-by-step explanation:
Answer:
$45.79 multiplied by .50 equals 22.895
HELP HELP HELP HELP FIND THE VALUE OF X
Answer:
x=9
Step-by-step explanation:
The sum of all three angles inside a triangle is always 180 and the small square in the bottom left corner means that that is a 90 degree angle.
90+5x+5x=180
add the x values together
90+10x=180
subtract 90 from both sides
10x=90
divide both sides by 10
x=9
Karen purchased a used vehicle that depreciates under a straight-line
method. The initial value of the car is $4000, and the salvage value is $400. If
the car is expected to have a useful life of another 6 years, how much will it
depreciate each year?
Answer:
2400
Step-by-step explanation:
because it goes down 400 each year
Karen expects the vehicle to depreciate by 600 each year.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Now, It is expected to depreciate from 4000 to 400 in 6 years.
Hence, The depreciation per year is the ratio is,
⇒ Depreciation per year = (Total depreciation) / (Number of years)
Hence, The total depreciation is the change in value, so the depreciation per year is
⇒ (4000 - 400)/6
= 3600 / 6
= 600
Thus, Karen expects the vehicle to depreciate by 600 each year.
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ7
Mr. and mrs. Brown bought a new kitchen table for $450. It was 75% of the original price. Determine the original price of the kitchen table.
Answer:
$600
Step-by-step explanation:
To find the original price, divide the cost by 0.75
450/0.75
= 600
So, the original price was $600
Answer: $600
Step by Step explaination:
A computer game was originally priced at $59.99. It was marked down 15%. Then it was moved to a clearance rack marked "Take an additional 50% off the lowest marked price." What was the final price of the computer game?
Answer:
25.50 is the final price
Step-by-step explanation:
First find the new price at 15% off
59.99 * 15%
59.99 * .15
9.00
Subtract 9 dollars from the price
59.99-9.00
50.99
Now take 50% off
50.99 * 50%
50.99*.50
25.50
50.99-25.50
25.50
Which statement describes the graph of y = 7?
a: A horizontal line with no "run" and infinite "rise"
b: A horizontal line with no "rise" and infinite "run"
c: A vertical line with no "run" and infinite "rise"
d: A vertical line with no "rise" and infinite "run
Answer:
b. A horizontal line with no "rise" and infinite "run"
Step-by-step explanation:
since y = 7, y will always equal 7 no matter what the x value is, so it has no rise, or increase in y value. But it doesn't say anything about the x value, so it infinitely increases. The answer is b. A horizontal line with no "rise" and infinite "run"
g(n) = n - 1
h(n) = n^3- 2
Find (g - h)(3)
Answer:
jsjshshzyzhshshw
Step-by-step explanation:
7U usual jusjsisj
Kara and Steven are biking around a 105 kilometer path. They start biking from the same place, at the same time, and in the same direction. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take before Steven and Kara will be at the same place of the path next time?
It says 120 is wrong :(
9514 1404 393
Answer:
7 hours
Step-by-step explanation:
They will be at the same place when Kara completes one lap and Steven completes 2 laps. It will take Kara 7 hours to complete one lap.
(105 km)/(15 km/h) = 7 h
Answer:
7 hours
Step-by-step explanation:
They will be at the same place when Kara completes one lap and Steven completes 2 laps. It will take Kara 7 hours to complete one lap.
(105 km)/(15 km/h) = 7 h
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 40 % salt and Solution B is 90 % salt. She wants to obtain 50 ounces of a mixture that is 80 % salt. How many ounces of each solution should she use?
Answer:
The scientist must use 10 ounces of Solution A and 40 ounces of Solution B.
Step-by-step explanation:
Since a scientist has two solutions, which she has labeled Solution A and Solution B, each containing salt, and she knows that Solution A is 40% salt and Solution B is 90% salt, and she wants to obtain 50 ounces of a mixture that is 80% salt, to determine how many ounces of each solution should she use the following calculation must be performed:
100 x 0.9 + 0 x 0.4 = 90
90 x 0.9 + 10 x 0.4 = 85
80 x 0.9 + 20 x 0.4 = 80
50 x 0.8 = 40
Therefore, the scientist must use 10 ounces of Solution A and 40 ounces of Solution B.
help I will mark brainliest!
Answer: g
its g cause I solved it and got g
Answer:
The answer is G. Hope this helps!
Find the x and y intercepts of 4x - 5y = 40
Is this correct and can someone explain why??
Answer:
no, the correct answer is D.
Step-by-step explanation:
for the x-intercept you would first add 5y to both sides giving you 4x=5y+40. then you would divide both sides by 4, so the final equation would be x=5/4y+10.
for the y-intercept you would subtract 4x from both sides, making -5y=-4x+40. then you would divide both sides by -5, making the final equation y=4/5x-8.
please view attached image about angles (50 pts and brainliest)
Answer:
The value of X is 126. The angle of JML is 42
Complete the table.
Given: GHIJ is rhombus
Prove: ∠1≅∠3
Answer:
Step-by-step explanation
1. Measuing blood pressure is a vital process in determining a patient's immediate health
condition. If the systolic blood pressure exceeds 150mm Hg, the patient is considered to
have high blood pressure and medication may be prescribed. Assume that a patient's
systolic blood pressure reading during a given day follows a normal distribution with a
mean of 160mm Hg and a standard deviation of 20mm Hg.
(a) If 5 readings are taken at various times during the day, determine the probability that
the average blood pressure reading will be less than 150mm Hg and hence, fail to
indicate that the patient has a high blood pressure problem
(6) Determine the number of readings required so that the probability is at most 1% of
failing to detect that a patient has high blood pressure.
(20 marks)
Answer:
Step-by-step explanation:
145 mm hg
GEOMETRY!! Will give brainliest which one is better please explain
Alternate exterior angles are congruent.
Which angle forms a pair of alternate
exterior angles with angle 1?