Step-by-step explanation:
GIVEN:-The Perimeter of Equilateral triangle = 60cm
UNDERSTANDING THE CONCEPT:-According to the question,
To find the height of the triangle,
Perimeter of Equilateral triangle = Area of Equilateral triangle.
FORMULA USED:-[tex]60 = \frac{ \sqrt{3} }{4} a {}^{2} \\ [/tex]
REQUIRED ANSWER:-[tex]60 \times 4 = \sqrt{3a {}^{2} } [/tex]
[tex]a {}^{2} = 240 \sqrt{3} \\ [/tex]
[tex]a = 120 \sqrt{3} cm[/tex]
SO, The Exact height of the triangle is 120√3cm.What is the answer to: 1 1/4 + (2×3) + 2 2/6+ (2 5/6 × 2) + 3?
Answer:
The answer is 19.75
Step-by-step explanation:
You multiply the one in the brackets first
A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 miles away from the station. (Round your answer to the nearest whole number.) mi/h
Answer:
442 miles
Step-by-step explanation:
Given
To properly solve this question, I illustrate some given parameters using attached image
From the image, apply Pythagoras theorem
[tex]x^2 + 1^2 = y^2[/tex]
Differentiate w.r.t time (t)
[tex]2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}[/tex]
[tex]2x\frac{dx}{dt} = 2y\frac{dy}{dt}[/tex]
Divide both sides by 2
[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]
From the question, we have that the plan travels are 510mi/h.
This implies that:
[tex]\frac{dx}{dt} = 510mi/h[/tex]
So, we then calculate the value of x when the distance (y) is 2mi i.e.:
[tex]y = 2mi[/tex]
Apply Pythagoras theorem
[tex]x^2 + 1^2 = y^2[/tex]
[tex]x^2 + 1^2 = 2^2[/tex]
[tex]x^2 + 1 = 4[/tex]
[tex]x^2 = 4-1[/tex]
[tex]x^2 = 3[/tex]
[tex]x = \sqrt 3[/tex]
So, the expression becomes:
[tex]x\frac{dx}{dt} = y\frac{dy}{dt}[/tex]
[tex]\sqrt 3 * 510 = 2* \frac{dy}{dt}[/tex]
[tex]\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}[/tex]
[tex]\sqrt 3 * 255 = \frac{dy}{dt}[/tex]
[tex]\frac{dy}{dt} = 255\sqrt 3[/tex]
[tex]\frac{dy}{dt} = 255 * 1.7321[/tex]
[tex]\frac{dy}{dt} = 441.655[/tex]
[tex]\frac{dy}{dt} = 442[/tex]
Hence, the distance is 442 miles
Nancy's mother has a large collection of shoes. The table shows how many pairs of shoes she
has in each style.
flats
9
sandals 6
pumps 10
If Nancy's mother chose a pair of shoes at random, what is the probability that the shoes
would be pumps?
Write your answer as a fraction or whole number.
P(pumps) =
Answer:
P(pumps) = 2/5
Step-by-step explanation:
(Pumps)/(Everything)
(10)/(9+6+10)
10/25
2/5
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x + 16/x , [0.2, 16]
Answer:
Absolute Maximum: (0.2 , 80.2)
Absolute Minimum: (4 , 8 )
Step-by-step explanation:
The bottom of a swimming pool is 10 feet below the surface of the water in the pool. The surface of the water is represented by the number 0, and the bottom of the pool is represented by the number -10. The pool's diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water. What integer represents the location of the diving board?
Answer:
10
Step-by-step explanation:
If the bottom of the swimming pool is 10 feet below 0, that makes it -10. If the diving board is the same distance above the swimming pool, that would make the integar 10. Both integers have a distance of 10ft away from 0.
I hope that helped. :)
The diving board is represented by the integer 10.
What are Integers?Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer. Fractional numbers are not included in integers. Integers are represented by the symbol Z.
The location of the diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water.
Since the surface of the water is represented by the number 0 and the bottom of the pool is represented by the number -10, this means that the diving board must be represented by the number 10, which is the opposite of -10. The diving board is indicated by the integer 10.
Therefore, the diving board is represented by the integer 10.
Learn more about the number system here:
https://brainly.com/question/21751836
#SPJ2
Help please I need this
9514 1404 393
Answer:
Slant Height = 20.1 kmRadius = 9 kmLateral Area = 568.3 km²Step-by-step explanation:
The slant height is read from the diagram as 20.1 km.
The radius is half the diameter, so is 9.0 km.
The lateral area is ...
A = πrs = π(9.0 km)(20.1 km) ≈ 568.3 km²
__
Desmos uses r for a special purpose, so we have used r₁ to signify the radius of the cone. The "round" function works only to round to an integer, so special effort must be used to get rounding to 1 decimal place.
An employee at a home improvement store is
Answer:
Large: 17,125
Small: 78,100
Step-by-step explanation:
helppppppppppppppppppppppp
Answer:
E = N × C
for
E: earnings
N: number sold
C: cost
she will make:
50 × 1.25 = $62.5
Find the area of the bigger triangle (will give brainlest)
Answer: a. 90
Step-by-step explanation: plz give me brainliest
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 2√3
Step-by-step explanation:
x² = √6² + √6²
x² = 6 + 6 = 12
x = √12 = 2√3
If the cotangent and tangent are reciprocals of each other, then what is the cotangent of an angle if the tangent of
the same angle is b/a where a and b are not zero?
A. a/a
B. b/b
C. a/b
D. b/a
Your answer is c) a/b
You're welcome!
The width of a casing for a door is normally distributed with a mean of 24 in and a standard deviation of 0.14 in. The width of a door is normally distributed with a mean of 23.87 in and a standard deviation of 0.08 in. Assume independence of the two widths. Find the probability that the width of the casing exceeds the width of the door by more than 0.25 in.
Answer:
0.2296 = 22.96% probability that the width of the casing exceeds the width of the door by more than 0.25 in.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
The width of a casing for a door is normally distributed with a mean of 24 in and a standard deviation of 0.14 in.
This means that [tex]\mu_{C} = 24, \sigma_{C} = 0.14[/tex]
The width of a door is normally distributed with a mean of 23.87 in and a standard deviation of 0.08 in.
This means that [tex]\mu_{D} = 23.87, \sigma_{D} = 0.08[/tex].
Find the probability that the width of the casing exceeds the width of the door by more than 0.25 in?
This is P(C - D > 0.25).
Distribution C - D:
The mean is:
[tex]\mu = \mu_{C} - \mu_{D} = 24 - 23.87 = 0.13[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{\sigma_{C}^2+\sigma_{D}^2} = \sqrt{0.14^2+0.08^2} = 0.1612[/tex]
Probability:
This probability is 1 subtracted by the pvalue of Z when X = 0.25. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.25 - 0.13}{0.1612}[/tex]
[tex]Z = 0.74[/tex]
[tex]Z = 0.74[/tex] has a pvalue of 0.7704
1 - 0.7704 = 0.2296
0.2296 = 22.96% probability that the width of the casing exceeds the width of the door by more than 0.25 in.
Need help with this please
Answer:
.
Step-by-step explanation:
Gina uses 6.4 pints of white paint and blue paint to paint her bedroom walls. 1/4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
4.8
Step-by-step explanation:
6.4×1/4=1.6
6.4-1.6=4.8
What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as
a decimal precise to two decimal places.
P=
What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a
decimal precise to two decimal places.
P-
Complete question :
Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.
What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.
Answer:
0.56 ; 0.60
Step-by-step explanation:
From The attached Venn diagram :
C = attend college ; J = has a job
P(C) = (35+45)/300 = 80/300 = 8/30
P(J) = (30+45)/300 = 75/300 = 0.25
P(C n J) = 45 /300 = 0.15
1.)
P(J | C) = P(C n J) / P(C)
P(J | C) = 0.15 / (8/30)
P(J | C) = 0.5625 = 0.56
2.)
P(C | J) = P(C n J) / P(J)
P(C | J) = 0.15 / (0.25)
P(C | J) = 0.6 = 0.60
In systems of equations, parallel Lines have how many solutions? (Graphing)
(Worth 10 points )
1
0
Infinite
Answer:
0 solutions
Step-by-step explanation:
parallel lines have no solutions because they never intersect.
Which of the following statements represent the relationship between the sine and cosine of complementary angles? Select all that apply
Answer:
I think its the first and the third one
Step-by-step explanation:
lemme know if this helps :)
Answer:
Step-by-step explanation:
WILL GIVE BRAINLIEST TO ANSWER
its x4 got it thanks give me brainliest
Help me please thank you so much
Answer:
32
Step-by-step explanation:
Multiply the base x height
It will be 8 x 4
And if you multiply it, it should equal to 32 so that means...
The volume of the cylinder is 32.
Is 3times4 the same as 4 times 3
Answer:
Yes, 3x4=12 and 4x3=12
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
3 × 4 = 12
4 × 3 = 12
At a Beirut market, oranges are priced at $1.29/KG. Ms. X buys 10 oranges that have a total weight of 4.82 kgs. What is the average price per orange that she pays?
Answer:
The average price of each orange is $0.62.
Step-by-step explanation:
Given that at a Beirut market, oranges are priced at $ 1.29 per kilo, and Ms. X buys 10 oranges that have a total weight of 4.82 kilograms, to determine what is the average price per orange that she pays must perform the following calculation:
(4.82 x 1.29) / 10 = X
6.21 / 10 = X
0.62 = X
Thus, the average price of each orange is $ 0.62.
Solve this before 6:00 and i will give brainliest
Answer:
4
Step-by-step explanation:
Use PEMDAS. Use a calulator to solve 3 and 1/3 times 1.9+19.5 divided by 4 and 1/2 and after you solve that solve 62/75- 0.16. Divided the first answer by the second. Now move to 3.5+4 and 2/3+ 2 and 2/15 then solve. Next solve 0.5 times ( 1 and 1/20+ 4.1) and with the answer you got from the equation above divided that by the answer just solved. Now divided the number on the left with the number on the right and you should get 4.
What’s greater 20 yards or 720 inches
How many groups of 2 can you make
with the 8 shapes
Answer:
4 groups
Step-by-step explanation:
PLS HELP ME NOW!! pls pls pls
Answer:
x/300=24/100
Step-by-step explanation:
24/100 is the same as 24% and by cross multiplying you can find 24% of 300
Answer:
24 percent just means "24 for every hundred" 300 is literally three hundreds, so 24 percent of it three 24s, or 72.
cost price of television is Rs 40000.The profit is 1/9 of selling price ,find the selling price .
Answer:
₹45000
Step-by-step explanation:
Let the selling price (SP) of the television be ₹x.
Therefore,
Profit [tex] =\frac{1}{9}x[/tex]
Cost price (CP) = ₹ 40000
[tex]Profit = SP - CP \\ \\ \frac{1}{9}x = x - 40000 \\ \\ \frac{x}{9} - x = - 40000 \\ \\ \frac{x - 9x}{9} = - 40000 \\ \\ - \frac{8}{9} x = - 40000 \\ \\ x = 40000 \times \frac{9}{8} \\ \\ x = 5000 \times 9 \\ \\ x = 45000[/tex]
What is the total amount on an investment account of $450 at an
annual simple interest rate of 3% at the end of 48 months?
I need a quick help with this one. No file answer please.
Answer/Step-by-step explanation:
Volume of a sphere = ⁴/3πr³
1. r = ½ of 14.4 = 7.2 in.
Volume = ⁴/3 × π × 7.2³ = 1563.46 ≈ 1563.5 in.³
2. r = 6 yd
Volume = ⁴/3 × π × 6³ = 904.78 ≈ 904.8 yd³
3. r = 8 mm
Volume = ⁴/3 × π × 8³ = 2144.66 ≈ 2144.7 mm³
4. r = ½ of 13.5 = 6.75 cm
Volume = ⁴/3 × π × 6.75³ = 1288.25 ≈ 1288.3 cm³
5. r = 4.7 in.
Volume = ⁴/3 × π × 4.7³ = 434.89 ≈ 434.9 in.³ (nearest tenth)
I need these 4 questions, they are 7th grade level so should be easy enough
Executives for a grocery store chain want to survey their employees about a new policy regarding break times. To
get a representative sample of 40 employees, they randomly select 10 people from each of the different job titles at
the store (cashier, bagger, stocker, and manager). Which sampling method was used?
O cluster sampling
O simple random sampling
O stratified random sampling
O systematic random sampling
Answer:
Stratified random
Step-by-step explanation:
got it right
Answer:
C
Step-by-step explanation: