If the side length of an equilateral triangle is 5 centimeters, the length of altitude is about 4.33 centimeters.
What is an equilateral triangle?An equilateral triangle can be defined as a type of triangle or regular polygon that has equal side lengths and all of its interior angles are equal.
How to calculate the length of altitude.Mathematically, the length of altitude of an equilateral triangle is calculated by using this formula:
[tex]L=\frac{\sqrt{3} }{2} a[/tex]
Where:
a is the side lengths.L is the length of altitude.Given the following data:
Side length = 5 centimeters.Substituting the given parameters into the formula, we have;
[tex]L=\frac{\sqrt{3} }{2} \times 5\\\\L=\frac{5\sqrt{3} }{2}[/tex]
Length = 4.33 centimeters.
Read more on equilateral triangle here: brainly.com/question/11844452
1. What is the intersection of the sets {0, 2, 6, 8, 12} and {0, 3, 6, 9, 12}?
2. Using the number line below to compare the list of numbers. Place the numbers in
increasing order.
-1.5, .3, -2/5, 1 4/5
3. Using the number line below, list the following numbers in increasing order:
1.1, -1.9, .4, -.6
4. What is the set of even numbers between 3 and 13?
5. What is the intersection of the sets {2, 5,8,12,18} and {1, 2, 5, 7, 18}?
6. What is the intersection between these three sets: X = {-5, -3, -1, 1, 3, 5}, Y= {1, 3, 5, 7, 9, 11}, Z = {-5, -1, 1, 5, 9, 13}
7. What is the union of the sets {0, 2, 4, 8, 10, 12} and {0, 3, 12}?
8. Which value of x makes the open sentence true: 2, 3, 4, or 5? 5 + 2 = 3 + 9
9. Which value of x makes the open sentence true: 1, 2, 3? 3 − 10 ? ( + 1) 2 + 2 3 __________
11. In golf, scores are calculated compared to par for the golf course. On a number line, par is 0.
a. Draw a number line and plot each golfer’s score.
b. List the golfers in order from best (lowest score) to worst (highest score).
c. For the coordinate representing Winston’s score, name the set(s) of which it is an element: natural numbers, whole numbers, integers, and real numbers
Golfer Winston Allen Mariota Hernandez
Score 4-under-par 5-under- par 2-over-par 3-over-par
Answer:
Can you redo it's a little too much
Answer:
Bro thats a lot of questions
Step-by-step explanation:
if f(x) = x + 7 and g(x) = 1 / x - 13, whaf is the domain of (f°g)(x)?
Answer: Choice D) x can be anything but 13
========================================================
Explanation:
The domain of [tex](f \circ g)(x) = f(g(x))[/tex] is the same as the domain of g(x)
The domain for g(x) is [tex]\{x|x \ne 13\}[/tex] saying we can plug in any number we want as long as it's not 13. This is to avoid dividing by zero. The same domain applies for the composite function because
[tex]f(x) = x+7\\\\\\f(g(x)) = g(x)+7\\\\\\f(g(x)) = \frac{1}{x-13}+7\\\\\\(f \circ g)(x) = \frac{1}{x-13}+7\\\\\\[/tex]
and we can see that we still need to kick out x = 13 from the domain to avoid the division by zero issue.
---
What is the range of the following numbers?
12, 20,18,25,6
A. 5
B. 16 1/5
C. 18
D. 19
E. 25
Answer:
D
Step-by-step explanation:
The range is subtracting the largest number and the smallest number.
largest number: 25
smallest number: 6
Range: 25 - 6 = 19
The average salary for a first-year teacher is $27,989. If the distribution is approximately normal with a standard deviation of $3250. If the z-score is 0.34. What salary corresponds to the z-score
If needed, delete the comma and/or the dollar sign.
=========================================================
Work Shown:
mu = 27989 = population mean
sigma = 3250 = population standard deviation
z = (x-mu)/sigma
z*sigma = x-mu
x = z*sigma + mu
x = 0.34*3250 + 27989
x = 29,094
The salary of $29,094 corresponds to the z score of 0.34.
This indicates the salary $29,094 is exactly 0.34 standard deviation units above the mean.
Select the correct answer.
Selim Is ordering concrete spheres to place as barriers in the city park. The spheres cost $2 per square foot and Selim can spend $20 per
sphere. What is the maximum diameter of the spheres he can purchase?
OA 1.78 ft
ОВ.
1.59 ft
OC. 0.89 ft
OD. 3.56 ft
Reset
Next
2 Edmentum. All rights reserved.
INTL 11:41
Answer:
I think the answer is 1.78
Step-by-step explanation:
The diameter of the sphere will be equal to 4.59 feet.
What is a sphere?
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
Given that:-
The spheres cost $2 per square foot and Selim can spend $20 per sphere. What is the maximum diameter of the spheres he can purchase?The area of the sphere will be = 20 / 2 = 10 square feet
The diameter of the sphere will be calculated as:-
Area = 4 π r
10 = 4 π r
r = 10 / ( 4 π )
r = 0.79 feet
D = 2r = 2 x 0.79 = 1.59 feet
Therefore the diameter of the sphere will be equal to 4.59 feet.
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Allen purchased a computer on sale.
The original price was $1,400. The sale price was 3/5 of the original price. How much
did Allen pay for computer?
Write 1011.1012 in normalized exponential form.
[tex]1011.101_2[/tex] in a normalized exponential form is written as [tex]0.1011101 \times 2 ^4[/tex]
Given the following data:
[tex]1011.101_2[/tex]A normalized exponential form.In Computer technology, binary numbers like decimal numbers in mathematics can be written in an exponential form and it involves the use of powers of two (2) rather than powers of ten (10).
Additionally, all non-zero binary numbers have a unique normalized exponential form and their binary point must always appear before the first one (1) bit, which yields a unique integer (exponent) and a unique mantissa respectively.
Thus, the normalized exponential form for the given binary number is written as follows:
[tex]1011.101_2 = 0.1011101 \times 2 ^4[/tex]
Note:
Exponent = 4.Mantissa = 0.1011101.Read more on binary numbers here: https://brainly.com/question/5381889
PLEASE HELP!!
Only respond if you know the answer
15 ∙ 10 ∙ 2 + 15 ∙ 7 ∙2 + 7 ∙ 10 ∙ 2 which equals 650
The surface area of the jewelry box is 650 sq2
What is the surface area of the box if it is scaled up by a factor of 10?
Answer:
the answer is 6500
Step-by-step explanation:
hope this helps
pls do this for me pls I need it for my homework do it in a PowerPoint and show me it
Answer:
i might need more info unless this is the only questions
Step-by-step explanation:
I'm not sure what it means by "define the types of linear" (maybe theres a given function?), but to find the x intercept you need to make y 0. For example:
if we have a function
f(x) = 2x + 1
and we want to find the x intercept we substitute 0 to y
0 = 2x + 1
not
f(0) = ......
Answer:
To find the x-intercept of a given linear equation, plug in 0 for ‘y’ and solve for ‘x’. To find the y-intercept, plug 0 in for ‘x’ and solve for ‘y’. How do you find the Y intercept in a word problem? When a word problem involves a constant rate or speed and a beginning amount, it can be written in slope-intercept form: y=mx+b.
Step-by-step explanation:
What is the perimeter of STU?
11
104
Time
elapsed
U
00
6
00
MIN
4
SmartScore
out of 100
2
62
-10
-8
-6
-4
0
6
10
s
4
s
т
-2
-4
-6
-8
-10
Perimeter =
units
Answer:
2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + xx x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)2x x. – 1) 2x2 + x - 3 - (2x2 – 2x)
Step-by-step explanation:
If 1 in = 25.4 mm, how fast was the San Rafael Glacier moving in yards per hour? If necessary round to six decimal places
Answer:
203 / 25.4
7.992 in
7.922 in / day
7.922 in / 24 hr
0.333 in / hr
Step-by-step explanation:
which of these expressions or phrases can be used to represent the model brainly choose al the correct answers.
Answer:
1/6 x 3 and 1/6 of 3 and the product is 1/2.
Step-by-step explanation:
I did it on i-ready and I got it right
[tex]\frac{1}{6}\cdot3\\[/tex][tex]\frac{1}{6}\ of\ 3[/tex]Number of sixths in 3.
The models shows 1 of the 6 parts of the length 3.
So the expressions or phrases that can be represented by the model are:
[tex]\frac{1}{6}\cdot3\\[/tex][tex]\frac{1}{6}\ of\ 3[/tex]Number of sixths in 3.Learn more about fractions: https://brainly.com/question/78672
a plane flying at a certian altitude is observed from two points that are 3 miles apart. the Angles of elevation made by the two points are 55deg and 72deg
The altitude of the plane is 8 miles
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
we know that in the right triangle ABC
tan function is ratio of opposite side and adjacent side
tan(72°)=h/x
h=xtan(72°) ....... equation 1
In the right triangle ABD
tan(55°)=h/(x+3)
h=(x+3)tan(55°) ..... equation 2
From equation 1 and 2
xtan(72°)=(x+3)tan(55°)
xtan(72°)-xtan(55°)=3tan(55°)
x[tan(72°)-tan(55°)]=3tan(55°)
x=3tan(55°)/[tan(72°)-tan(55°)]
We have to find the value of h
h=xtan(72°)
h=[3tan(55°)*tan(72°)]/[tan(72°)-tan(55°)]
h=8 miles
Hence, the height is 8 miles of the plane.
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HELP PLEASE<33 IM NOT SURE HOW TO DO THIS!
Answer:
Step-by-step explanation:
1b. <
1c. =
1d. >
2c. n=6
3. Yes
4. 4
5. 5 1/3
6. 2 3/5
What is the quotient of 534÷112
Answer:
4.76785714286
help me please!!!!!!!
Answer:
45 cm²
Step-by-step explanation:
Area of the two triangles:
A = 1/2*b*h
A = 1/2*3*4
A = 1/2*12
A = 6
Area of the two rectangles:
A = bh
A = 4*3
A = 12
Area of square:
A = bh
A = 3*3
A = 9
Now add these numbers together to get total area:
6 + 6 + 12 + 12 + 9 = 45
Hope this helps :)
Of the 14 clients at Bob's salon, 7 of them have red hair. What is the probability that a randomly selected client at Bob's salon has red hair? P(red) =
Now
[tex]\\ \rm\Rrightarrow P(E)=\dfrac{|E|}{|S|}[/tex]
[tex]\\ \rm\Rrightarrow P(E)=\dfrac{7}{14}=1/2[/tex]
Answer:
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
Given:
Total number of outcomes = total number of clients = 14Number of ways it can occur = number of clients with red hair = 7[tex]\implies \mathsf{Probability \ of \ red\ hair= \dfrac{7}{14}=\dfrac12=0.5}[/tex]
If H1(x) is the inverse of H(x) , what is the value of H1 (H(x)) ?
Answer A. x
Step-by-step explanation:
I need help with a math problem
Answer:
1 1/2: 3 more dash lines after 1
2 1/6: one more dash line after 2
Step-by-step explanation:
the diameter of a circle is 22.4cm find it's area
Answer:
Area = πr^2
= 22/7 x 22.4/2 ^2
calculate to get area
Answer:
area =394.081 cm^2
Step-by-step explanation:
please mark me as brainlest
There are 34 desks in the classroom, however, 3 of the desks are broken. How many groups of 4 unbroken
desks can be made?
6 groups
07 groups
8 groups
9 groups
Answer:
7 Groups
Step-by-step explanation:
4 x 8 is 32, more than are available, 4 x 6, less than available.
Explain why the scale from ABC to DEF could be 1:3
Answer:
Don't really know
Step-by-step explanation:
------------------------------
A model train is 15-
inches long. Each car in this train is
2 inches in length. How many cars are in the train?
BA 3 cars
B
4 cars
C С
5 cars
D6 cars
Answer:
Im very confused about the question because all the answers are too small but out of those pick 6 i'd say
Step-by-step explanation:
hope this helps!
Given the functions, f(x)=30x4+9x3+27x2−21x−17 and g(x)=6x+3, divide f(x) by g(x) and simplify.
Question options:
a.5x3−x2+5x−6+16x+3
b.5x3−x2+5x−6−36x+3
c.5x3−x2+5x−6+66x+3
d.5x3−x2+5x−6+86x+3
Answer: 21+1000 =100.2
Step-by-step explanation:pull down explain multiplication
a container holds 24 pints of lemonade. how much is this in gallons?
Answer:
The answer is 3 gallons.
( 1 + 1 ) + ( 1 + 1 ) in standard form
Answer:
4
Step-by-step explanation:
Standard form, in other words, is when it is fully simplified.
[Given]
( 1 + 1 ) + ( 1 + 1 )
[Add what it is the parentheses]
( 2 ) + ( 2 )
2 + 2
[Add 2 and 2 together]
4
Answer:
.4x10^1
Step-by-step explanation:
2+2+4
4 in standard form=.4x10^1
brainliest appreciated hope this helps!!
Describe how the graph of y = -2(x-4)3 + 1 can be obtained from the graph of y = x3.
I am guessing you meant y=-2(x-4)^3+1 from x^3
From the parent cubic function x^3,
a(x-k)^3+h is its transformation and it would be vertical stretch by a, followed by a horizontal translation by k and vertical translation by h
Your equation follows the same format it has a negative sign at the front before the ( ) which means a reflection over the x axis at the beginning
SO your graph is a
1.reflection over the x axis
2.followed by a vertical stretch by 2
3.followed by a horizonal translation to the right 4
4.followed by a vertical translation up 1
from x^3
I hope this helped, please ask if you have any questions!
A strawberry shake recipe that makes six glasses cost for two pints of strawberries if you wanted to make 30 glasses of shake how many pints would you need
Answer:
10
Step-by-step explanation:
based on the info we have, calculate:
30 x 2 / 6
reduce the fraction 5 x 2
answer: 10
Carmen and her friends go out for lunch and leave a 20% tip. How much was the bill if they left a $17.64 tip?
Lena used a total of 3 5/6 gallons of gas while driving her car. Each hour she was driving, she used 7/9 gallons of gas. What was the total number of hours she was driving?
Step-by-step explanation:
3 x 5/6 = 2.5 gallons of gas used
7/9 galllons per 1 hour
Hence if she used 2.5 gallons,
2.5 ÷ 7/9 =
[tex]3 \frac{3}{14} hours[/tex]