Answer:
The answer is -0.5
Step-by-step explanation:
suppose I have a 30, 60, 90 right triangle. The hypotenuse is 10 units long. How long are the other sides?
a) short leg = 5; long leg = 5 √2
b) short and long leg = 5 √2
c) short leg = 5; long leg = 5 √3
d) short leg = 5; long leg =8
Answer:
option c
Step-by-step explanation:
The angles are 30° , 60° , 90° . So its a right angled triangle . We can use trigo.
⇒ sin 30 = p/h
⇒ 1/2 = p/10
⇒ p = 10/2
⇒ p = 5
Using Cosine now ,
⇒ cos 30° = b/h
⇒ √3/2 = b/10
⇒ b = √3/2 × 10
⇒ b = 5√3
Short leg = 5Long leg = 5√3 Hence option C is correct.Answer:
c) short leg = 5; long leg = 5 √3
Step-by-step explanation:
How long are the other sides?
short leg = 5; long leg = 5 √3
Hailey invested $95,000 in an account paying an interest rate of 7\tfrac{1}{4}7 4 1 % compounded continuously. Brooklyn invested $95,000 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 % compounded monthly. After 10 years, how much more money would Hailey have in her account than Brooklyn, to the nearest dollar?
Answer:12220
Step-by-step explanation:
Choose the student who combined like terms correctly to write an equivalent expression. 5 + C + C + C -4. Melvin's work Sabrina's work Sudesha's work Zisel's work 5 + C + C + C - 4 5 + C + C + C-4 O 5 + C + C + C - 4 5+ C + C + C - 4 = 90 = 30 +1 = 4c = c + 1
Answer:
Sabrinas work
Step-by-step explanation:
5+c+c+c-4
5+3c-4
=3c+1
14476 as a percentage
Answer: 1447600%
Step-by-step explanation: in order to convert number to percentage you’d have to multiply the given number by 100 and then add a percentage sign
F1.8
19.
Sam has a cylindrical fish tank with
an open top. The tank has height
30cm and radius 20cm. What is the
total surface area of the tank?
Answer:
area of cylinder =2πrh+2πrsqr
=2×22/7×20×30+2×22/7×20×20
=26400/7+17600/7
=44000/7
=6285.714cm
Answer:
5024 cm²Step-by-step explanation:
Total surface area includes one base only as it is open top
S = πr² + 2πrhS = 3.14*20² + 2*3.14*20*30 = 5024 cm²help pleaseeeeeeeeee
Answer:
non of these choices I guess
plz help asap
click it to make it big
Answer:
d no association
Step-by-step explanation:
A space shuttle travels at 2.6 x 10,000 feet per second. An hour is 3.6 x 1,000 seconds. This expression can be used to find the number of feet the space shuttle travels in an hour. How many feet does the shuttle travel in an hour?
Answer:
7.22 feet
Step-by-step explanation:
From the question,
s = d/t................. Equation 1
Where s = speed of the space shuttle, d = distance traveled by the shuttle in an hour, t = time taken to travel the distance
make d the subject of the equation,
d = s×t.................... Equation 2
Given: s = 2.6×10000 feet per seconds, t = 1 hour = 3.6×1000 seconds.
Substitute these values into equation 2
d = (2.6×10000)/(3.6×1000)
d = 26000/3600
d = 7.22 feet.
Hence the shuttle travels 7.22 feet in an hour
What is the equation of the circle shown?
Answer:
(x + 4)² + (y - 2)² = 8
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 4, 2 ) , then
(x - (- 4))² + (y - 2)² = r²
(x + 4)² + (y - 2)² = r²
CA is the radius of the circle
To find r use the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C(- 4, 2) and (x₂, y₂ ) = A(- 2, 4)
r = [tex]\sqrt{(-2+4)^2+(4 -2)^2}[/tex]
= [tex]\sqrt{2^2+2^2}[/tex]
= [tex]\sqrt{8}[/tex] , then r² = ([tex]\sqrt{8}[/tex] )² = 8
Then
(x + 4)² + (y - 2)² = 8 ← equation of circle
Please help and no links please
Answer:
sorry i can't clear
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.5 gallons of fuel. A warning light comes on when the raining fuel is 1.5 gallons or less. write an inequality to determine the number of days diego's father can drive the car without the warning light coming on.
Answer:
0.5n < 12.5
n < 25 days
Step-by-step explanation:
Total gallons of fuel = 14 gallons
Warning light comes on when the remaining fuel is 1.5 gallons or less
Gallons of fuel used without warning light = 14 gallons - 1.5 gallons
= 12.5 gallons
Gallons of fuel used per day = 0.5 gallons
Number of days = n
inequality to determine the number of days diego's father can drive the car without the warning light coming on.
0.5n < 12.5
n < 12.5/0.5
n < 25 days
What is the mode interval for the histogram? 50 - 59 90 - 100 80 - 89 10
Answer:
mode = 90 - 100Step-by-step explanation:
because ( 90 - 100 ) frequency is greater than all other intervals.
The mode interval for the histogram is (90 - 100).
Option B is the correct answer.
What is a histogram?A histogram is a representation of the distribution of data with intervals.
We have,
Mode interval in a histogram is the interval in which the values of the data occur the most.
Now,
From the histogram, we see that,
The interval (90 - 100) has the most date values.
Thus,
The mode interval is (90- 100).
Learn more about histograms here:
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David leaves the supermarket at 1810
He drives 20 miles to his home.
The speed limit for the journey is 30 mph.
David drives within the speed limit.
(b) Can David get home before 1900?
Give reasons for your answer.
Answer:
The total distance David has to travel 20 miles.
The speed limit is 30 mph. He leaves supermarket at 18 10 , he has 50 minutes to get home before 1900.
when traveling within the speed limit he can reach on time because he has to travel only 20 miles which is possible and it won't take him 1 hour according to the 30 mph speed limit.
Ellen needs new socks. Her mother can buy a package of 6 pairs of socks for $3.25 or a package of 9 pairs for $4.75. Which is the better buy?
Answer:
9 pairs for $4.75
Step-by-step explanation:
Given data
6 pairs of socks for $3.25
unit cost
=3.25/6
=$0.54 per pair
9 pairs for $4.75
unit cost
=4.75/9
=$0.53 per pair
Option B is the better buy
Please I need the answer and no links answers for both!!
Evaluate the following expression.
6 x [(16 + 29) / 9 -3]
Answer:
45
Step-by-step explanation:
6 × [45 / 9-3]
6×45/6
270/6
45
Answer:
45
Step-by-step explanation:
6 x (16 + 29) / 9 - 3)
16 + 29 = 45
9 - 3 = 6
45/6 = 7.5
6 x 7.5 = 45
Let me know if this helps!
Nathan was 60 inches tall last year. Since then, his height has increased by 2 inches. Which phrase gives a clue that addition is needed to find Nathan's current height? A since then B increased by C was 60 inches D by 2 inches
HELPPPPP PLSSSS. I’m in need of help ;-;
Answer:
B is the correct answer
Step-by-step explanation:
Simple algebra.
Find the area by multiplying the sides and divide by 2 since, the question asks for half a sail.
Carla faz sua salada de frutas para vender .Hoje ela comprou 3kg de laranja 2,5 kg de banana e 2,5kg de maçã e 1,8kg de mamão No total ,quantos quilogramas de fruta Carla comprou hoje ?
Answer:
9,8 kg
Step-by-step explanation:
3 kg + 2,5 kg + 2,5 kg + 1,8 kg = 9,8 kg
Answer: 9,8 kg
He temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47, and 52. Which measure should the weather bureau use to find the middle temperature of the week? A. mean B. median
Answer: Median
Step-by-step explanation: The median is the middle number.
(also i'll give the definitions of mean, mode, and range in case you need it)
Mean - average
Mode - the value that appears the most
Range - The largest value subtracted by the smallest value
Answer:
Median is the answer
Step-by-step explanation: 100%
x - 3y = 6
2x + 4y = 2
if (x,y) is a solution to the system of equations above, what is the value of x-y?
A) 4
B) -4
C) 2
D) -2
Chen and Dave divide £350 in the ratio 3:4
ed
Work out how much money Dave gets
Answer:
£200
Step-by-step explanation:
Sum the parts of the ratio, 3 + 4 = 7 parts
Divide the amount by 7 to find the value of one part of the ratio
£350 ÷ 7 = £50 ← value of 1 part of the ratio , then
4 parts = 4 × £50 = £200 ← amount Dave gets
Find the missing side of the triangle:
8cm, 7cm, _____
A. 20cm
B. 15cm
C. 12cm,
D. 25cm
Answer:
C. 12cm
Step-by-step explanation:
Sum of any two sides of a triangle must always be greater than the third side.
here 8 + 7 = 15 > 12
Hence, option C is the correct answer.
GAHHHHHHHHH HELP WITH THIS
Which of the following angles is not coterminal with the other three?
a.–197º
b.17º
c.523º
d.163º
9514 1404 393
Answer:
b. 17°
Step-by-step explanation:
All of the angles are 2nd-quadrant angles except 17°, which is a 1st-quadrant angle.
17° is the odd angle
__
When you compute ...
mod(angle, 360), you get 163, 17, 163, 163.
which hemisphere is tilted towards the sun in december?!
Answer:
Northern Hemisphere
Step-by-step explanation:
The tilt's orientation with respect to space does not change during the year; thus, the Northern Hemisphere is tilted toward the sun in June and away from the sun in December, as illustrated in the graphic below.
Answer:
ThThe southern hemisphere
Step-by-step explanation:
help!! please if you can
Answer:
Answer 3
Step-by-step explanation:
Hits the 80 mark, meaning it would be divisible by 6, and starts at positive 20.
Hope this helps
What is the largest perfect square factor of 84
Answer
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Step-by-step explanation:
The largest perfect square factor of 84 is 4.
We know that, a factor is a number that perfectly divides the number with 0 as remainder.
The easiest way to find out factors of a number is by doing LCM.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
From all the above factors 4 is the only number that is a perfect square.
Therefore, the largest perfect square factor of 84 is 4.
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what is the solution to the problem
x + 8.63 = 11.001
Answer:
x=2.371
Step-by-step explanation:
Subtract 8.63 from both sides
x+8.63-8.63=11.001-8.63
x=11.001-8.63
x=2.371
hey man. do me a favor and solve . thanx man
Answer:
16964.6
Step-by-step explanation:
V=3.14×r2×h r is half remember!