The height of the equilateral triangle below is 15 units. What is the value of x?
An equilateral triangle is shown. A perpendicular bisector cuts the triangle into 2 equal parts. They hypotenuse has a measure of x.
15 StartRoot 3 EndRoot
30 StartRoot 3 EndRoot
StartFraction 15 Over StartRoot 3 EndRoot EndFraction
StartFraction 30 Over StartRoot 3 EndRoot
Answers
Answer: b
Step-by-step explanation: on edge
Answer: C. 30 StartRoot 3 EndRoot
Step-by-step explanation:
Took the test/exam
Related Questions
Please help me with this
Answers
Answer:
1.) The quotient of a number and 2 = x ÷ 2
2.) A number decreased by 2 = x - 2
3.) 2 times a number = 2x
4.) 2 increased by a number = 2 + x
Step-by-step explanation:
Let's look for key words hidden in these sentences:
1.) The quotient of a number and 2 = The word quotient refers to division
2.) A number decreased by 2 = The word decreased refers to subtraction
3.) 2 times a number = the word times refers to multiplication
4.) 2 increased by a number = the word increased refers to addition
Hope this helps!
Please help
Find the Arc Length of arc b, given the radius is 5 cm.
Answers
Answer:
Arc length= 180/360 ( 2 pi × 5cm)180/360 (2 ×22/7×5cm)
18/36=1/2× 2×22/ 7 ×5cm
1×22/7×5cm
22/7×5cm
110/7
=15.715cm
Help pls will give BRAINLIST
Answers
Hope this helps!
A survey showed that 40% of students would select the Ferris Wheel as their favorite ride in the amusement park. How many students out of 5,000 would you predict would prefer the Ferris Wheel?
Group of answer choices
2,400
3,000
2,000
1,250
Answers
Answer:
2000
Step-by-step explanation:
40/100 * 5000 = 2000
Parker Moore is single and pays into an HMO. The total cost is $8,550 annually and the employer pays 90 % of the total cost . Parker also pays 50% of the optional annual dental premium of $782. How much is deducted each week from his paycheck ?
Answers
Answer:23.96
Step-by-step explanation:
100-90=10%
10/100=0.10
0.10(8550)=855
100-50=50%
50/100=0.50
0.50(782)=391
855+391=1246
1246/52=23.96
Right Triangles
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Find cos B.
a. cos B = 41/40
b. cos B - 9/41
c. cos B = 40/41
d. cos B = 9/40
Please select the best answer from the choices provided
Answers
Answer:
B. cos B = 9/41
Step-by-step explanation:
I calculated it logically
Answer:
b
Step-by-step explanation:
cos B = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{9}{41}[/tex] → b
Find the missing length indicated
Please help, no links
Answers
Answer:
x = 135
Step-by-step explanation:
m = length of perpendicular line to hypotenuse
81/m = m/144
m² = 81 x 144 = 11664
m =√11664 = 108
Using the Pythagorean theorem:
x² = 81² + 108² = 6561 + 11664 = 18225
x = √18225 = 135
9514 1404 393
Answer:
x = 135
Step-by-step explanation:
Side x is the geometric mean of the hypotenuse segments it touches.
x = √(81×(81+144)) = √81×√225 = 9×15
x = 135
8 times the sum of a number and 5 is 3 years the variable Y for the unknown number
Answers
Answer:
8(y+ 5) =3
Step-by-step explanation:
Write the slope intercept form of this equation 7x-5y=35
Answers
Because if u solve the problem this is the answer
I need help on this please!
No links
Study guide for exam.
Answers
area = 246.49
perimeter = 31.4
step-by-step explanation:
area of a circle = πr^2
π5^2
15.7 rounded ^2
246.49
looking for circumference
c = 2πr
6.28(5)
31.4
i will help you on 2 once you tell me the radius or diameter of the circle
Rick, Diane, and Lu are selling cookies, fruit cakes, and chocolate bars in a neighborhood snack sale. The number of cookie packs,
cakes, and chocolate bars sold by each person is given in the table.
A what prices did Rick, Diane, and Lu sell the eatables?
A)
$1.00 for a cookie pack, $2.50 for a fruit cake, and $1.50 for a chocolate bar
B)
$1.50 for a cookie pack, $2.50 for a fruit cake, and $1.00 for a chocolate bar
9
$1.00 for a cookie pack, $1.50 for a fruit cake, and $2.50 for a chocolate bar
D)
$1.50 for a cookie pack, $2.50 for a fruit cake, and $1.00 for a chocolate bar
Answers
Answer:
I think it's A
Step-by-step explanation:
but I do not know this clearly
Answer: The Answer is A.
I plugged the numbers into Excel.
Step-by-step explanation:
write the coefficient of a in 7 a
Answers
Given:
The term is 7a.
To find:
The coefficient of "a" in the given term "7a".
Solution:
In the product of a number and a variable, the number is called the coefficient of that variable.
In the expression "7a", the number is "7" and the variable is "a". It means the number 7 is the coefficient of "a".
Therefore, the coefficient of "a" in the given term "7a" is 7.
Lee's goal is to log more
than 10,000 steps each day. If
she is awake 16 hours a day,
how many steps does she need
Ito take each hour?
Answers
Answer: 625 steps per hour
Step-by-step explanation:
10,000/16=625
negative x plus 1 is less than 5
Answers
Answer:
-x+1 < 5
Step-by-step explanation:
Not sure what the question is?
Answer:
-x + 1 < 5
Step-by-step explanation:
negative x plus 1 is less than 5
-x + 1 < 5
-TheUnknownScientist
What is the surface area of the triangular prism? 1 5ft 3 ft 5 ft 4 ft
Answers
Answer:
134
Step-by-step explanation:
A pharmaceutical sale representative gets paid $50,000 annually plus 3.5% commissions on total sales. This year he sold $420,000 in pharmaceuticals. What are his annual total earnings? someone help pls
Answers
Answer:
[tex] \frac{3.5}{100} \times 420000 = 14700commission \\ total \: earnings = 50000 + 14700 \\ = 64700[/tex]
i don’t know if it’s A or B
Answers
Answer:
A
Step-by-step explanation:
this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.
:)
3. Find the value of x.
(2x-71
Answers
Answer:
33
Step-by-step explanation:
2x-7 = 73
2x = 73-7
2x = 66
x = 66÷2
x = 33
Therefore, the value of x is 33
8x²y²-18
factorise in process
Answers
Answer:
u
Step-by-step explanation:
8x²y²-182(4x²y²-9)2((2xy)²-3²)2(2xy-3)(2xy+3)stay safe healthy and happy.What is the simplified expression for -3(2x-7)+2y+ 2(x+y)?
Answers
Answer:
-4x+42+4yStep-by-step explanation:
-3(2x-7) + 2y + 2 (x+y)
-6x+42 + 2y + 2x + 2y
Take the same coefficents and subtract or add
-6x + 2x= -4x
2y + 2y= 4y
The graph below has:
Answers
Answer:
One repetad linear
Step-by-step explanation:
find the principle of money if intrest in 3 years with 5 percent per annum is rs 300
Answers
Answer:
HI from Nepal
Answer:
let principal be x
interest =Rs300
time=3 years
rate=5%
To find principal use formula,
Interest=P*T*R/100
Rs300=x*3*5/100
Rs300*100=15x
Rs30000=15x
Rs30000/15=x
Rs2000=x
Step-by-step explanation:
therefore principal=Rs 2000
whats 2 plus 7 plus 3
Answers
Answer:
Hi, there your answer will 12
2+7+3=12
Have a nice day
Step-by-step explanation:
Answer:
12Step-by-step explanation:
I added it up XD Thanks for the points.
I need help graphing the right points so please send a picture of the graph also
In the xy-coordinate plane, the graph of the equation y = 3x2 - 12x – 36 has zeros
at x = a and x = b, where a
Part A: Graph the function.
Answers
Answer:
you cant send pictures unless created on a graphing website but ill try to help. you first have to simplify y, and if you could comment a clearer equation that would be nice because your equation is confusing(cant tell if its all together
The height corresponding to the longest side of the triangle whose sides are 42cm,
34cm and 20cm in length is ?
plz help me urgently
Answers
Answer:
sdufbjdfjkwjhevjhvdwhdvbj tsm thank you for the points
e
Step-by-step explanation:
Answer:
ty for the points.
Step-by-step explanation:
Convert x^2+ (y + 8)^2= 64 to a polar equation that
expresses r in terms of theta.
Answers
Answer:
their graphed
Step-by-step explanation:
Angle x and 56 are complementary. What is the value of x?
149
34
56
90
Answers
Answer:
34°
Step-by-step explanation:
90-56=34°
__________
An elevator has a placard stating that the maximum capacity is 1600 lb�10 passengers. So, 10 adult male passengers can have a mean weight of up to 1600/10=160 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 160 lb. (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 29 lb.)
1.The probability the elevator is overloaded is?
*-Please show work to help me understand-*
2. Does this elevator appear to be safe?
A.Yes, there is a good chance that 10 randomly selected people will not exceed the elevator capacity.
B. No, 10 randomly selected people will never be under the weight limit.
C.Yes, 10 randomly selected people will always be under the weight limit.
D.No, there is a good chance that 10 randomly selected people will exceed the elevator capacity.
Answers
Answer:
1. 0.7421 = 74.21% probability the elevator is overloaded.
2. D.No, there is a good chance that 10 randomly selected people will exceed the elevator capacity.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 29 lb.
This means that [tex]\mu = 166, \sigma = 29[/tex]
Sample of 10.
This means that [tex]n = 10, s = \frac{29}{\sqrt{10}}[/tex]
1.The probability the elevator is overloaded is?
Probability that the sample mean is above 160 pounds, which is 1 subtracted by the p-value of Z when X = 160. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{160 - 166}{\frac{29}{\sqrt{10}}}[/tex]
[tex]Z = -0.65[/tex]
[tex]Z = -0.65[/tex] has a p-value of 0.2579.
1 - 0.2579 = 0.7421
0.7421 = 74.21% probability the elevator is overloaded.
2. Does this elevator appear to be safe?
High probability of the elevator being overloaded, so not safe. Correct answer is given by option D.
How many different 10-letter arrangements are possible using the letters in the word AUTOMOBILE?
Answers
Answer:
1,814,400
Step-by-step explanation:
the formula would be: nPr / x_1 ! x_2!....
since there are 2 O's and it is a 10-LETTER ARRANGEMENT, the equation would now be:
10P10 / 2!
10P10 would simplify down to 10! so you would have :
10! / 2!
if you simplify this above: you would get 1,814,400
∠AGB and ∠EGD are □ angles.