Answer:
short leg: 4
hypotenuse: 8
this is a 30,60,90 triangle.
angle against the 90 degrees is the hypotenuse. Against the 60 degrees is the long leg and against the 30 degrees is the short leg. So since we know the long leg we can find the short leg. The short leg is the long leg/ square root(3) so the short leg is 4.
Now to find the hypotenuse youdo 4^2 + 4 square root(3)^2 which is 64 squared. Or 8
Step-by-step explanation:
if you are given 80 grams of a radioactive element and told that its half-life is 10 years. How much will be left of the substance after 20 years.
Answer:
20 grams
Step-by-step explanation:
20 years is 2 half lives
1/2 * 1/2 = 1/4
1/4 * 80 = 20 grams
what's one-sixth of 1/2
6 times the difference between q and 1
Answer:
6q-1. It's not factorsble with rational mumbers.
Answer:
6q - 6
Step-by-step explanation:
6 x (q - 1) =
6 x q - 6 x 1 =
6q - 6
Hope that helps! :)
-Aphrodite
if cost price 12000 and the selling price is 10000 .what is the loss percentage
(3^6/7^-3)= Please I need help!!!
Answer: [tex]\frac{243}{7}[/tex]
Steps:
[tex]\frac{3^6}{7^-\cdot \:3}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:3[/tex]
[tex]=\frac{3^5}{7}[/tex]
[tex]3^5=243[/tex]
[tex]=\frac{243}{7}[/tex]
Hope This Helps!
Nathaniel created the circle graph below to show the percentage of his free time he will engage in different activities on Sunday. Free Time Watching Television Exercising 25% Reading 20% Drawing 25% If Nathaniel has 8 hours of free time on Sunday, which shows the amount of time he will spend watching television?
Answer:
im just here to collect points cause im poor
Step-by-step explanation:
What is the lateral surface area, in square inches, of the figure formed by the net?
Answer:
71 in²
Step-by-step explanation:
surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)
= 24+20+27 = 71 in²
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. You reach in and randomly draw a marble,
replace it, and draw another marble. What is the probability that the first will be red and the second will be blue?
a.) 20%
b.) 80%
c.) 8%
d.) 12%
Answer: Hope This Helps!
Step-by-step explanation:
I would estimate around 8% or 12% is the answer. Red Marbles are a small percentage and the chance it will be picked instead of something else is rare however blue marbles are the most common and chance one will be picked is fairly high.
A side of the triangle has been extended to form an exterior angle of 128°, find the value of x
Answer:
x=52
step by step:
x+128=180
x=180-128
x=52 .
Answer:
52
Step-by-step explanation:
HELP FAST I just need answer
Javier is buying oak flooring for the living room. How many square feet of flooring does he need to buy?
18 ft
9 ft
BRO
A 162 ft2
B 54 ft2
C 27 ft2
O D. 1812
PLEASE HELP ILL MARK YOU AS BRAINLESS
54 ft.
Step-by-step explanation:
add 18 on both sides which is 36. then do that with 9 9+9=18 and 18+18=36 36+18=54.
Help me HOW which choice is it
number 3 is correct
Step-by-step explanation:
smaller<bigger
Factor the Polynomial: 20x³+34x²+6x = ?
Answer:
2x(5x+1)(2x+3)=0
Step-by-step explanation:
x{20x^2+34x+6}=0
2x(10x^2+17+3)=0
2x(10x^2+15x+2x+3)=0
2x{5x(2x+3)+1(2x+3)}=0
2x(5x+1)(2x+3)=0
Please help!!! I’m very desperate I’ll give brainliest!!
Answer:
question 22 ) 3.325
Step-by-step explanation:
I use the app photo math. Its free and shows you all the steps.
to bake a cake, the recipe calls for 6 eggs. Arline wants to bake 24 cakes for her schools bake sale. how many eggs will she need in all for the 24 cakes?
Answer:
144 eggs
Step-by-step explanation:
1 cake = 6 eggs
24 * 6 = 144 eggs in total.
A longer way to do it is by adding 6, 24 times.
6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6 = 144
But by multiplying, it makes it easier to find the answer.
When oil is spilled in water, it creates a thin film of water approximately 1 micron thick. A barrel of oil is approximately 42 gallons of oil. If we spill a barrel of oil on the water, what is the area covered by the oil slick
Draw a sketch showing the relevant dimensions.
State your answer in square meters.
State your answer in square kilometers.
9514 1404 393
Answer:
158,987 m²0.158986 km²Step-by-step explanation:
42 gallons is about 0.158987 cubic meters. 1 micron is 1 micro-meter, or 10^-6 meters. The volume is the product of the area and thickness. For some area A, we have ...
0.158987 m³ = (10^-6 m)A
A = (10^6)(0.158987 m² = 158,987 m²
The area in square meters is 158,987.
__
A square km is (1000 m)² = 10^6 m². So, the area in square kilometers is about ...
(158,987 m²)/(10^6 m²/km²) = 0.158987 km²
The area in square km is about 0.1590.
Select the correct answer.
What is the measure of ABD?
(3x +9)
(45-6x)
C
OA 4
OB. 9
OC 21
OD. 27
OE 36
Reset
Next
Answer:
C. 21°
Step-by-step explanation:
In triangle ABC, perpendiculars dropped on the sides AB and AC from the ray BD are equal in measure or congruent.
Therefore, ray BD is equidistant from the sides AB and AC.
So, ray BD will be the bisector of angle ABC.
[tex] \therefore m\angle ABD = m\angle DBC[/tex]
(Angle bisector theorem)
[tex] \therefore (3x+9)\degree = (45-6x)\degree [/tex]
[tex] \therefore 3x+9 = 45-6x[/tex]
[tex] \therefore 3x+6x = 45-9[/tex]
[tex] \therefore 9x = 36[/tex]
[tex] \therefore x =\frac{36}{9}[/tex]
[tex] \therefore x =4[/tex]
[tex] \therefore (3x+9)\degree = (3*4+9)\degree=(12+9)\degree =21\degree [/tex]
[tex] \implies m\angle ABD=21\degree [/tex]
The measure of angle ABD is 21°. Therefore, option C is the correct answer.
What is an angle bisector?The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.
In triangle ABC, perpendiculars dropped on the sides AB and AC from the ray BD are equal in measure or congruent.
Therefore, ray BD is equidistant from the sides AB and AC.
So, ray BD will be the bisector of angle ABC.
m∠ABD=m∠DBC (Angle bisector theorem)
3x+9=45-6x
3x+6x=45-9
9x=36
x=36/9
x=4
So, 3x+9=3(4)+9=21°
Thus, m∠ABD=21°
Therefore, option C is the correct answer.
Learn more about the angle bisector here:
brainly.com/question/12896755.
#SPJ7
PLEASE NEED HELP ASAP
Answer:
121.5
Step-by-step explanation:
a geometric series : a1 + a1×r + a1×r^2 + a1×r^3 + ...
so, a1 = 50
a2 = a1×r = 30
=> 50×r = 30
=> r = 30/50 = 3/5
a3 = a2×r = a1×r^2 = 50×9/25 = 18
S7 = (50 - 50×(3/5)^7) / (1 - 3/5) =
= (50 - 50×(2187/78125)) / (2/5) =
= 5×(50 - 50×(2187/78125)) / 2 =
= 5×(25 - 25×(2187/78125)) = 125×(1 - 2187/78125) =
= 125×(78125-2187)/78125 = 125×75938/78125 =
= 75938 / 625 =
121.5 (121.5008)
what is the volume of a bow with a width of 3/2 inches a length of 5/2 inches and a height of 4 inches
Answer:
v=LxWxH
v= 3/2x5/3x4
v=15/6x4
v=10in³
Alfredo has different colored spiral notebooks in his backpack. Which of the following models could be used to simulate a 1 in 3 chance of Alfredo randomly selecting a red spiral from his backpack?
Answer:
the fourth option
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Probability of choosing a red spiral = number of red spiral / total sum of spirals in the bag
1st option = 2 / 4 = 1/2
2nd option = 4/8 = 1/2
3rd option = 2/3
4th option = 2/6 = 1/3
the fourth option is correct
The radius of a circle is 7 cm. Enter the circumference of the circle, in cm. Round your answer to the nearest hundredth.
Answer:
C = 43.98cm. This answer was taken online
Answer:43.98
Step-by-step explanation: Circumfernce = 2 pi r.So what we have to so is first 7(2) = 14 Next we multiply 14 by pi which is about 43.98229... Now we have to round to the nearest hundredth which is two place after the decimal point. So 8 is the number we are rounding. If we look to the right of 8 the number is 2. Anything below 5 we keep the number the same. There you have it your answer will be 43.98
Pls help. The probability of choosing a red marble out of a bag of marbles is 3/10. What are the odds in favor of choosing a red marble?
(Justify your answer)
Answer:
3 : 7
Step-by-step explanation:
If the probability of choosing red = 3/10
The we can infer that ; ratio of the number of red marbles to the total number of marbles = 3 : 10
Thus number if marbles that aren't red :
10 - 3 = 7
The odd in favor of picking a red marble :
Red : not red
3 : 7
99 is decreased to 44
Answer:
99 -? = 44.
99 -a = 44.
99 -44 -a = 44-44.
55 = a.
The interest for a bank account is compounded quarterly. The equation 480(1.08)12 is used to calculate the value of the account after some amount of time.
The yearly interest rate for the account is
8%
3%
2%
32%
12%
Answer:
8%
Step-by-step explanation:
1.08 is an increase of 0.08, which is 8%
Answer: 3%
Step-by-step explanation:
since the total amount ended up being 12 your going to divide by 4 which is the quartly amount which is how u end up with 3%.
20. Miguel started with $50
in his bank account. He
deposited $20. The next day
he withdrew $40. How much
is in his bank account?
Answer:
-$10
Step-by-step explanation:
50-20=
30
30-40
= -10
Select all the statments that are true
Help it’s due in 10 minutes !!!!!!!!!!!!!!!
Answer:
add them up I don't know
Step-by-step explanation:
PLZZ HELP!!!
Which graph shows the solution to the system of equations 2x + y = 4 and 3x - 2y = 6?
Answer:
the last one
Step-by-step explanation:
__________________
rotate the object 90 degrees around the origin. What are the new coordinates?
Answer:
s
Step-by-step explanation:
d
4 (x + 2.5) = 48
Explain your reasoning as well.
Answer: 9.5 is the answer. You have to distribute through.
Explain: 4x+10=48
Subtract 10 from both sides you get 4x=38. Then divide both sides by 4 you get 9.5.