Answer:
A opção correta é;
c) 12,8 m²
Step-by-step explanation:
A área de um trapézio = 1/2 × (distância perpendicular entre os lados paralelos) × (soma dos comprimentos dos lados paralelos)
No diagrama da pergunta, os comprimentos dos lados paralelos são;
3,8 me 2,6 m
A distância perpendicular entre os lados paralelos = 4 m
∴ área do trapézio = 1/2 (3,8 + 2,6) × 4 = 12,8 m²
Portanto, a área da sala = 12,8 m².
0.00147 in standard form
Answer:
[tex]1.47 * 10^{-3}[/tex]
Step-by-step explanation:
So I think standard form is basically scientific notation.
[tex]1.47 * 10^{-3}[/tex]
Let me know if this is wrong
Which number is closest to 240 ?
Select one:
a. 15.40
b. 15.45
c. 15.50
d. 15.55
Answer:
D
Step-by-step explanation:
15.55 is the closest number out of all of the answer choices.
You put $2000 into an account earning 4% interest compounded continuously. Find the amount in the account at the end of 8 years.
Answer:
You'll need the attached formula.
Total = Principal * e ^ (rate * years)
rate = .04
Total = 2,000 * 2.718281828 ^ (.04 * 8)
Total = 2,000 * 2.718281828 ^ (.32)
Total = 2,000 * 1.3771277643
Total = 2754.2555285231
Total = 2,754.26 (rounded)
Step-by-step explanation:
The amount in the account at the end of 8 years will be $2,737.12.
To understand the calculations, check below.
Compound interest:The compound interest amount is given as,
[tex]Amount=P*(1+\frac{r}{100} )^{n}[/tex]
Where P is principal , r is rate and n is times.
It is given that,
[tex]P=\$2,000, r=4\%, t=8 years[/tex]
[tex]Amount=2,000*(1+\frac{4}{100} )^{8}\\\\Amount=2000*(\frac{104}{100} )^{8} \\\\Amount=\$ 2,737.12[/tex]
Learn more about the compound interest here:
https://brainly.com/question/24924853
Write down the value of of
(square root of 49)
Work out the value of
5^³
what is 34342424×453?
Answer:
1.555711807*10^10
Step-by-step explanation:
answer:
1.5557118072 x 10^10
A new car has a sticker price of $25,550, while the invoice price paid on it was
$19,990. What is the percent amount of markup?
Answer: 27.81%
Step-by-step explanation:
If one person makes 18 dollars in 2 hours and the other makes 36 dollars in 3 hours who makes more money per hour??
Answer:
the second person because they make 12 an hour and the first person only makes 9 an hour
Step-by-step explanation:
Professor Trey Angle writes the equation y=10000(0.75)x on the chalkboard to introduce exponential decay to their students. They explain how when x = 0, y = 10000 and when x = 1, y = 7500. Finish his next statement: "As one gets larger, the other gets smaller. So If x = 3, then y = , which is under half the original value.
Answer:
"As one gets larger, the other gets smaller. So if x = 3, then y = 4218.8, which is under half the original value."
Step-by-step explanation:
In order to complete the sentence we must find the value of "y" when x = 3. We have:
y = 10000*(0.75)^3
y = 4218.8
The sentence then is:
"As one gets larger, the other gets smaller. So if x = 3, then y = 4218.8, which is under half the original value."
another one hhh i must know
Answer:
35 degrees.
Step-by-step explanation:
Angle DGC and AGB are vertical angles. Therefore AGB is 90 degrees.
180 - (90 + 55) = 35 degrees.
How to do it ? plz answer it..
I hope you understand....
which function has a greater y-intercept? f(x)=2x^2-6x+4
a. f has a greater y-intercept than g.
b. g has a greater y-intercept than f.
c. f and g share the same y-intercept.
Answer:a. f has a greater y- intercept than g
Step-by-step explanation:
15 POINTS!!
A scale drawing of a living room is shown below. The scale used to create this drawing is 1 in. = 2 ft. What is the actual area of the living room?
Angle CCC is inscribed in circle OOO.
\overline{AB}
AB
start overline, A, B, end overline is a diameter of circle OOO.
What is the measure of \angle B∠Bangle, B?
^\circ
∘
degrees
Answer:Angle B is 44 Degrees
Step-by-step explanation: Angle C intersects the circle at the endpoints of a diameter, it intercepts an arc of 180 degrees
The measure of an inscribed angle is half the measure of its intercepted arc, so we know that the measure of angle C is 90 degrees
The angles of triangle ABC must add up to 180 degrees
m∠A+m∠B+m∠C=180
46+m∠B+90=180
m∠B+136=180
m∠B=44
The measure of Angle B in the given diagram is 44 Degrees
Angle C intersects the circle at the endpoints of a diameter, it intercepts an arc of 180 degrees
The measure of an inscribed angle is half the measure of its intercepted arc, so we know that the measure of angle C is 90 degrees
What is the sum of the angles in a triangle?The angles of triangle ABC must add up to 180 degrees.
The total sum of the angle in triangles is180 degrees.
m∠A+m∠B+m∠C=180
46+m∠B+90=180
m∠B+136=180
m∠B=44
Therefore, The measure of Angle B in the given diagram is 44 Degrees.
To learn more about the angle visit:
https://brainly.com/question/25716982
#SPJ2
Given that the perimeter of the square below is 40, solve for x. Round your answer to the nearest whole number.
Answer:
2
Step-by-step explanation:
(4x+2)squared equal 16x+4=40 40-4 = 36
36/16=2.25
2
Find the area of the Combined Rectangles.
Answer:
128
Step-by-step explanation:
First, I cut this rectangle in half vertically, right through the middle.
To find the area of an rectangle, multiply length by the height
Left rectangle area : 8*10 = 80 ( 8 is the height and 10 is the length)
Right rectangle area: 8*6 = 48 (8 is the length and 6 is the height)
Add the lengths together : 80+48= 128
The area of this rectangle is 128
Evaluate the expression when a=6 and b=4.
b +9a
Answer:
58
Step-by-step explanation:
The perimeter of a regular hexagon is ninety-six centimetres. Find the length of each side.
Answer:
54cm, which is one side length
Step-by-step explanation:
The sum of all of the sides are 6, it's a regular hexagon the perimemter is just six times one side 36cm
Hope It Helps!
A trail mix consist of 7 3/4 oz of sunflower seeds, 9 1/4 oz of raisins, 4 1/4 oz of walnuts, and 7 1/2 oz of soybeans. If the mix is split equally between eight hikers, how much would each one get?
Answer:
Each biker gets 3 19/32 of the mix.
Step-by-step explanation:
In the questions, we are told that a trail mix consist
7 3/4 oz of sunflower seeds,
9 1/4 oz of raisins
4 1/4 oz of walnuts
7 1/2 oz of soybeans
Step 1
Add up every element in the trail mix
We have are given mixed numbers which is made up of whole number and a proper fraction
7 3/4 oz + 9 1/4 oz + 4 1/4 oz + 7 1/2 oz
So we add up the whole numbers first
27 + ( 3/4 oz + 1/4 oz + 1/4 oz + 1/2 oz)
Next, We find the lowest common multiple of the denominators of the proper fractions which is 4
= 27 + ((3×1) + (1×1) + (1×1) +(1×2)/4)
27 + (3+1+1+2) / 4
27 + 7/4
27 + 1 3/4
27 + 1 + 3/4
Total mix = 28 3/4
Step 2
If the mix is split equally between eight hikers, how much would each one get?
We would convert 28 3/4 into an improper fraction and divide it by 8 bikers
115/4 ÷ 8
115/ 4 × 1/8
= 115/32
Turning it into a mixed fraction, we have:
3 19/32
Therefore, each biker gets 3 19/32 of the mix.
To prove that ΔAED ˜ ΔACB by SAS, Jose shows that StartFraction A E Over A C EndFraction = StartFraction A D Over A B EndFraction.
Triangle A E D is shown. Line segment B C is drawn from side A D to A E to form triangle A C B.
Jose also has to state that
please help!!!!!!
Answer:
A on Edg.
Step-by-step explanation:
Took the Test
Answer:
<A is congruent to <A
Step-by-step explanation:
<A is in both triangle and it can be equal to itself because of the reflexive property.
what is the length of a hypotenuse triangle with two 45 degree angles, one 90 degree angle, and two side lengths of 3 times the square root of 2?
Answer:
4.24
Step-by-step explanation:
remember a² + b² = c²
(3*(sqrt(2))² + (3*(sqrt(2))² = 18
this would be c²
square root of this is c = 4.2426...
What is the volume of the cylinder below?
A. 20472 units 3
B. 18157 units 3
C. 9687 units
D. 352 units 3
How many 4 minutes and 30 seconds in 2 hours
4 minutes and 30 seconds go into 2 hours 26 times
119
You placed each of these cards in a brown paper bag and randomly select one and then record your results. After each selection, you place it back in the bag and select another. You do this for a total of 50 times and your results are: 6 times you picked the ace, 14 times you picked the 2, 13 times you picked the 3, 4 times you picked the 4, and 13 times you picked the 5. After looking at your results, what is the experimental probability of selecting the 4? Hint: You may have to reduce. *
Answer:
The experimenta probability of picking a 4 is [tex]\frac{4}{50}[/tex]
Step-by-step explanation:
To determine the experimental probability, we just need to divide the number of observations of the specific event by the total number of trials. In this case, we are interested in the event "picking a 4 card". This event happened 4 times. We have a total number of trials of 50. So , the experimental probability is
[tex]\frac{4}{50}[/tex]
Jerry is making trail mix for his camping trip. He has 400 grams of peanuts, 350 grams of raisins, and 785 grams of pretzels. He wants to make 2 kilograms of trail mix.
How many more grams of ingredients does he need to add to the mix?
Jerry needs 465 grams more of ingredients to add to the mix.
shop sells pencils in packs and in boxes. There are 4 pencils in a pack and 12 pencils in a box. Lola buys d packs of pencils. (a) Write down an expression, in terms of d, for the number of pencils Lola buys. (1) Rory buys x packs of pencils and y boxes of pencils. (b) Write down an expression, in terms of x and y, for the total number of pencils Rory buys.
Answer:
(a) 4d
(b) 4x+12y
Step-by-step explanation:
If there are 4 pencils in a pack and she buys d packs, the amount of pencils she gets is 4*d, or 4d. The same principle goes for (b). Hope this helps!
Chen bikes 212 miles in 512 hour. What is Chen’s unit rate in miles per hour
Answer:
Unit rate = 0.414 mph
Step-by-step explanation:
Distance travelled = 212 miles
Time taken = 512 hours
[tex]Unit \: rate = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{212}{512} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.414 \: mph (miles \: per \: hour)[/tex]
Answer:
53/128 mph
Step-by-step explanation:
Unit rate is essentially just asking for the number of miles Chen can bike in only 1 hour. That's what "unit" means - 1.
Here, we know that Chen can bike 212 miles in 512 hours, so let's set up a proportion:
[tex]\frac{212mi}{512hr} =\frac{x}{1hr}[/tex] , where x is the number of miles Chen can bike in 1 hour
Cross multiply:
512x = 212
Divide by 512:
x = 212 / 512 = 53/128 miles
So, Chen's unit rate is 53/128 mph.
A restaurantis planning to make changes to its menu. In order to decide which potential menu items are most popular with the city's population, the owners will conduct a survey. Which survey methods would produce a representative sample of the city's population
Answer:
Simple random sampling survey method
Step-by-step explanation:
A simple random sampling is an unbiased survey technique Hence it will represent all the parts of the city's population.
In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population). Each individual is chosen randomly and entirely by chance, such that each individual has the same probability of being chosen at any stage during the sampling process
70 = -7 k solve the equations
Answer:
-10
Step-by-step explanation:
70= -7k
70 -7k
-- --
-7 -7
-10=k
Have a great day
Answer:
k= -10
Step-by-step explanation:
70= -7k
Divide both sides by -7
-7k/-7 = 70/7
Simplify
k=-10
help plz!!!what is the probability that he rolls a 3 and the coin lands on tails?
Answer:
The possibility of rolling a 3 on a fair die and getting tails on a coin is 112 .
brainliest pls?
What is the inverse of the logarithmic function
f(x) = log gX
Answer:
An exponential function. [tex]f(y) = g^{y}[/tex]
Step-by-step explanation:
The inverse of the logarithmic function is an exponential function.
[tex]f(x) = \log_{g} x[/tex]
[tex]g^{f(x)} = x[/tex]
[tex]g^{y} = f(y)[/tex]
[tex]f(y) = g^{y}[/tex]