the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.
In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:
- The side opposite the 30° angle is half the length of the hypotenuse.
- The side opposite the 60° angle is √3 times smaller than the hypotenuse.
- The hypotenuse is twice the length of the side opposite the 30° angle.
Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).
Then:
- The side opposite the 30° angle = x = 0.5 inches
- The side opposite the 60° angle = √3 * x = √3/2 inches
- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch
So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.
Learn more about triangle here
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the question in the photo
Answer: b would be the answer
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Write 27% as a fraction.
Answer:
27/100
Step-by-step explanation:
27%= 0.27= 27/100 which cannot be reduced
Answer:
27/100
Step-by-step explanation:
27% = 27/100
5) Which table does NOT represent a function?
Answer: D does not represent a function.
Step-by-step explanation: I hope this helps you out.
MODELING REAL LIFE The diagram shows the number of quarts of blood the
human heart pumps per minute,
Pumps 5
quarts of
blood per
minute
a How many quarts of blood does the human heart pump per hour?
quarts per hour
b. How many liters of blood does the human heart pump per minute?
Answer:
a)300 quarts per hour
b)4.73 (rounded to the nearest hundredth) liters or 5 (rounded to the nearest whole number liters
Step-by-step explanation:
a)f the heart pumps 5 quarts per minute, and we want it in quart per hour, all we have to do is multiply 5x60 (quarts-per-minute x minutes-per-hour) =300 quarts per hour
b)1 quart is .946liters
using that conversion we get that 5 quarts is ≈4.73 litera
When a cold drink is taken from a refrigerator, its temperature is . After minutes in a room its temperature has increased to . What is the temperature of the drink after minutes
Answer:
Step-by-step explanation:
PLZ HELP!!
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
The slope of this line is 1/4
Step-by-step explanation:
this is because the line has a rise of one and a run of 4. It is positive because y increases as x increases.
Answer: 3 over 12 or 1 over 4
Step-by-step explanation:
From the first point to the second you have to count up 1 and over 4, to get to the third point from the first it’s up 3 and over 12. This is the easiest method for me but there are others
cual es el reciproco de 3 1/5
Answer:
5/16
Step-by-step explanation:
Im guessing your asking for the recipricol of 3 1/5
Turn to improper fraction, 16/5
recipricol means to flip so it's 5/16
Solve the equation or inequality. t/3+t/2−350=270
Answer:
t=744
Step-by-step explanation:
t/3+t/2-350=270 add 350 on both sides
t/3+t/2=620 convert both fractions containing t into a fraction with a common base
2t/6+3t/6 = 620 add the fractions containing t
5t/6=620 factor out the 5
5*(t/6)=620 divide both sides by 5
t/6=124 multiply both sides by 6 (note, you could have just divided 620 by 5/6 on both sides, or multiplided both sides by 6/5)
t=744
Blue10
Brown15
Green5
Red10
Yellow12
The table shows how many of each color candy came out of a bag. What is the probability of choosing a brown candy?
g(x)=(x-1)^3-1 find the inverse of this function
Answer:
G^−1(x)=3√x+1+1
Step-by-step explanation:
Answer:
[tex]g^{-1}(x)[/tex]= [tex]\sqrt[3]{x+1}[/tex]+1
Step-by-step explanation:
To find the inverse, swap x and y.
g(x)=(x-1)^3-1
-> x=(y-1)^3-1
Solve the equation in terms of y.
x=(y-1)^3-1
x+1=(y-1)^3
[tex]\sqrt[3]{x+1}[/tex]=y-1
[tex]\sqrt[3]{x+1}[/tex]+1=y
NEED ASAP PLSS
5+2x = 2x+6
You want to simplify ? or just find the value ?
1) Order the numbers from least to greatest.
=2
3
3.5
2.5
2
NI
PLEASE HELP
Answer:
2, 2, 2.5, 3, 3.5
Step-by-step explanation:
Answer:
2, 2.5, 3, 3.5
Even thought there are two "2's", you only list one making it 2,2.5,3,3.5 instead of 2,2,2.5,3,3.5
Use the diagram to the right for questions 16 - 20.
MNP ~ SRP
Answer:
16) 16/3
17.) ength of PM = 20/3
18.) 60
19.) 30
20.) true
Step-by-step explanation:
4/6 = x/8
32/6=x
16/3=x
4/6 = x/10
20/3 = x
If a = 7 and b = 2, find the value of
a) a - b
b) 2a + 3b
c) 2ab
d) (a - b)^2
Answer:
(1) 5
(2) 20
(3) 28
(4) 25
Step-by-step explanation:
(1)
Substitute: 7 - 2
Calculate the sum or difference:
Answer: 5
(2)
Substitute: 2 × 7 + 3 × 2
Calculate the product or quotient: 14 + 6
Calculate the sum or difference: 20
Answer: 20
(3)
Substitute: 2 × 7 × 2
Calculate the product or quotient: 28
Answer: 28
(4)
Substitute: (7 - 2) ²
Calculate the sum or difference: 5²
Calculate the power: 25
Answer: 25
Answer:
Step-by-step explanation:
7-2=5
2×7+3×2=20
2×7×2=28
(7-2)^2
7-2=5
5^2=25
Help me please
You need to find the measure of angle A
Most people don’t do this when I ask these questions
Answer:
Step-by-step explanation:
6x + 5 = 4x + 45
6x - 4x = 45 - 5
2x = 40
x = 20
6x + 5 = 6.20 + 5 = 125°
URGENT PLEASE DO!! will give brainliest to first person to answer
29293
Step-by-step explanation:
yes yes !!
A sphere has a radius of 4 inches. Determine the effects on the surface area and volume of a sphere when the radius is changed.
Answer:
Step-by-step explanation:
The surface area of a sphere is given by
A=4πr^2
The volume is
V = (4/3)πr^3
At r = 4":
A = 64π in^2
V = 85.3π in^3
At r = 5" (a 25% increase in r)
A = 100π in^2 (a 156.25% increase)
V = 167π in^3 ( a 195.8% increase)
We can show the ratio of these two measures by dividing the Volume by the Area:
V/A = ((4/3)πr^3/(4πr^2))
V/A = (1/3)r
For the 2 examples (4" and 5"), V/A is:
4": (85.3π in^3)/(64π in^2) = 1.33 [(1/3)r = 4/3 = 1.33]
5": (167π in^3)/(100π in^2) = 1.67 [(1/3)r = 5/3 = 1.67]
V/A = (1/3)r
Since Volume is a function of r^3 and Area is related to r^2, Volume will always increase faster, by a ratio of 1/3 r.
Answer ASAP: log base 4 of 405
help please !!!!!!!!!
how do i do this? geometry
Answer:
80?
Step-by-step explanation:
the total amount of degrees in a hexagon is 720. Divide that by 6 and you get 120. Each corner is 120. It doesnt have a right angle measure on it so it has to be lowerer then 90.
Write the correct order of the letters to the finish line
Answer:
Write the correct order of the letters to the finish line
$1.800 is invested in account that earns 6% interest compounded quarterly, how much will this
investment be worth after 6 years Given : A =
P(1 + 3) "4
8
9
$2.573.11
$1,968.20
$7,288.08
$1,252.40
Question 5 (1 point)
Dan bou
Answer:
4 better inbox
Step-by-step explanation:
Carl ordered $28 of pizza for dinner. About how much money
does he need, rounded to the nearest ten?
Answer:
30 dollars.
Step-by-step explanation:
What is 28 closer to? 20 or 30?
30.He would have to pay 30$, and would get 2 dollars back in change.
I hope this helped at all.
2x-7=13
What is the answer for x ?
Answer:
The answer will be ( x = 10)
19. There are 1,200 students at Thomas School, Each
day, students take 5 classes and teachers teach 4 classes. If each class
has 30 students and 1 teacher, how many teachers teach at the school?
Answer: 40 teachers
Step-by-step explanation:
Do 1,200 Divided by 30 because thats the amount of students
Evaluate the formula χ2=
(n−1)s2
σ2 when σ=1.61, n=39, and s=3.79.
Work Shown:
[tex]\chi^2 = \frac{(n-1)s^2}{\sigma^2}\\\\\chi^2 = \frac{(39-1)(3.79)^2}{(1.61)^2}\\\\\chi^2 = \frac{38*14.3641}{2.5921}\\\\\chi^2 = \frac{545.8358}{2.5921}\\\\\chi^2 \approx 210.57667528259\\\\\chi^2 \approx 210.577\\\\[/tex]
I thought of a number I called this number n I multiplied my number by the sum of 12 and 18 I added 43 to the result and I got 103 what is n equal to
[tex](n \times (12 + 18)) + 43 = 103[/tex]
[tex]30n + 43 = 103[/tex]
Subtract both sides 43
[tex]30n + 43 - 43 = 103 - 43[/tex]
[tex]30n = 60[/tex]
Divide both sides by 30
[tex] \frac{30n}{30} = \frac{60}{30} \\ [/tex]
[tex]n = 2[/tex]
PLEASE HELP FAST (ALL OF THEM PLESE)
Please help I really need help if right you get Branly please help.
[1] 1/2
- It will be 1/2 as large because of the scale factor
[2] 1/4
- 1/2 * 1/2 = 1/4
[3] (1/2)n
- For every scale factor (n), there will be a chance of 1/2
Have a nice day! - I know I answered this elsewhere, I saw it twice haha
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather