Answer:
6
Step-by-step explanation:
Consider the 30°-60° right triangle shown whose hypotenuse is equal to one. Clearly this triangle is half of an equilateral triangle. Please help me. Thank you! （╹◡╹）
Answer:
Step-by-step explanation:
Given triangle ABC is a right triangle.
m∠ACB = 60°
m∠CAB = 30°
m(AC) = 1 unit
A). Shorter side of the given triangle = Side BC
By applying cosine rule,
cos(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(60°) = [tex]\frac{BC}{AC}[/tex]
BC = [tex]\frac{1}{2}(AC)[/tex]
BC = [tex]\frac{1}{2}[/tex]
Length of the shorter side = 0.5 units
B). Longer side of the given triangle = side AB
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
1² = AB² + [tex](\frac{1}{2})^2[/tex]
1 = AB² + [tex]\frac{1}{4}[/tex]
AB = [tex]\sqrt{1-\frac{1}{4}}[/tex]
AB = [tex]\sqrt{\frac{3}{4}}[/tex]
AB = [tex]\frac{\sqrt{3} }{2}[/tex]
Length of the longer side = [tex]\frac{\sqrt{3}}{2}[/tex]
does the relation show represent a function?
Answer: yes it is hope this helped
plz make brainly
Step-by-step explanation:
Answer:
Hi! The answer to your question is Yes, it does represent a function
Step-by-step explanation:
None of the x's repeat so yes, it represents a function.
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☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
PLEASE HELP!! What is the surface area of the right prism given below?
A. 1200 units2
B. 350 units2
c. 600 units2
D. 520 units2
The correct answer is 520 square units that is option D.
What is the formula for surface area of prism?
The formula used to find the surface area S of right prism is S=bh+pH.
In the formula b is the base, h is the height of the right angle triangle formed in the prism and p is the perimeter of the triangle, H is the width of the prism.
What is the unknown side of the triangle?Let x be the hypotenuses of the right angle triangle of the prim.
Use Pythagoras theorem in the right angle triangle to find the value of x.
[tex]15^{2} +8^{2} =x^{2}[/tex]
[tex]x^{2} =289[/tex]
On solving this we will get x=17.
What will be the perimeter of the triangle?On adding all the sides of the triangle the perimeter of the triangle is 8+15+17=40.
What will be the surface area of the prism?By calculation and given information, we have b=8, h=15, p=40 and H=10.
Now we will substitute all the values in the formula to find the surface area.
S=(8)(15)+(40)(10)=120+400=520 Square units.
Therefore, the correct option is D.
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Bus travels 450 km on 40 L at that rate how far will it travel on 120 L of gas??
Answer:
1350 km yw!
Step-by-step explanation:
Find the number of paths from A to B. (Each step can only go up or to the right.)
Answer:
Total ways possible = 104 ways
Step-by-step explanation:
Total ways possible = 104 ways
The figure is attached here for understanding.
In the figure, the blank points are those points where we can not reach.
Geometry > 0.6 Area of sectors XZQ
a а
The radius of a circle is 4 miles. What is the area of a sector bounded by a 135º arc?
= 4 mi
00
HA
Sma
out
1350
Give the exact answer in simplest form.
square miles
Answer:
4π mi²
Step-by-step explanation:
s = (∅/360) * πr²
s = (135/360) * π(4²)
s = (135/360)(16) * π
s = 4π mi²
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0)A(2,0)A, left parenthesis, 2, comma, 0, right parenthesis, B(6, 0)B(6,0)B, left parenthesis, 6, comma, 0, right parenthesis, C(6, 7)C(6,7)C, left parenthesis, 6, comma, 7, right parenthesis, and D(2, 7)D(2,7)D, left parenthesis, 2, comma, 7, right parenthesis. What is the area of rectangle ABCDABCDA, B, C, D? square units
9514 1404 393
Answer:
28 square units
Step-by-step explanation:
The rectangle is 7-0 = 7 units high and 6-2 = 4 units wide. Its area is the product of these dimensions:
A = LW
A = (7)(4) = 28 . . . square units
Answer:
The correct answer is 28
Step-by-step explanation:
Khan =)
I NEED HELP WITH THIS! ITS A LONG MATH QUESTION TY :D
Answer:
$5Step-by-step explanation:
Full surface area of the rectangular prism is:
S = 2(ab + bc + ac)S = 2(6*5 + 6*4 + 5*4) = 148 ft²Cost of the wallpaper:
$740 / 148 ft² = $5 per ft²i will give Brainiest if you are right
Answer:
B. 4x ≤ 320 is the correct option.
Step-by-step explanation:
Have a nice day!
Answer:
B. 4x < 320
Step-by-step explanation:
Can this quadrilateral be inscribe in a circle
A. Yes because the opposite angles are supplementary.
B. No, because the opposite angles are not supplementary.
C. Yes, because the opposite angles are congruent.
D. No, because the opposite angles are not congruent
Can this quadrilateral be inscribe in a circle
A. Yes because the opposite angles are supplementary.
B. No, because the opposite angles are not supplementary.
C. Yes, because the opposite angles are congruent.
D. No, because the opposite angles are not congruent
ANSWER: D. No, because the opposite angles are not congruent
I believe this is correct, I hope I helped!
i will give Brainiest if you are right
Answer:
G. x+ 8 ≤ =15
Step-by-step explanation:
Given: AB || DE
Which can be used to prove ABC - EDC?
a.
AA Similarity Postulate
C.
ASA Similarity Theorem
b.
SSS Similarity Theorem
d.
SAS Similarity Theorem
Answer:
a. AA Similarity Postulate
Step-by-step explanation:
the AA Similarity Postulate says that if two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar.
AB and ED are parallel, so
∠BCA and ∠ECD are congruent because they're vertical angles∠BAC and ∠CED are congruent because they're alternate interior anglesplease look at the screenshot below 45 points and first one will be brainliest
Answer:
A
Step-by-step explanation:
To find the perimeter you must add all four sides together. Since it's a rectangle, the top and bottom are the same size and the left and right sides are the same size. You add all four together to get the perimeter.
. A store increases profits by marking up the price of soda by 15%. Which expression represents the new price of soda if the original cost is s dollars? A) 0.15 B В 1.15$ © 0.855 Ds + 15
Answer: A
Step-by-step explanation:
what is this???????????????????????
Answer:
Without knowing anything else about the problem, the shaded part looks like the cross-sectional area.
PLEASE HELPPPP :(((((((((((
Answer:
3 6/10, 5 2/5, 5 2/6, 3 3/9, 4 2/7, 6 6/8
Step-by-step explanation:
divide numerator by denominator
You may need to use the appropriate appendix table or technology to answer this question. Health insurers are beginning to offer telemedicine services online that replace the common office visit. A company provides a video service that allows subscribers to connect with a physician online and receive prescribed treatments. The company claims that users of its online service saved a significant amount of money on a typical visit. The data shown below ($), for a sample of 20 online doctor visits, are consistent with the savings per visit reported by the company. 86 28 34 99 77 49 50 43 34 70 42 90 87 68 67 72 87 94 47 76 Assuming the population is roughly symmetric, construct a 95% confidence interval for the mean savings in dollars for a televisit to the doctor as opposed to an office visit. (Round your answers to the nearest cent.) $ to $ Need Help
Answer:
(62.66 ; 67.34)
Step-by-step explanation:
Given the data:
86 28 34 99 77 49 50 43 34 70 42 90 87 68 67 72 87 94 47 76
Using a calculator :
Sample mean, xbar = 65
Sample. Standard deviation s = 22.35
Confidence interval :
Xbar ± standard Error
Standard Error = Tcritical * s/√n
TCritical at 95%, df = 19 = 2.093
Standard Error = 2.093 * (22.35/√20) = 2.339
Lower boundary = 65 - 2.339 = 62.661
Upper boundary = 65 + 2.339 = 67.339
(62.661 ; 67.339)
(62.66 ; 67.34)
Of the students living in the dormitories at aa€‹ university, 65% live at the westa€‹ hall, and the rest at the south tower. A sandwich shop randomly mails a coupon for a free sandwich to 24% of those at the westa€‹ hall, and to 19% of those living at the south tower. Let D be the event that the person receive a coupon, E1 be the event that the person is living in the westa€‹ hall, and E2 be the event that the person is living in the south tower. A student living in a dormitory is randomly chosen.
Required:
Find the probability that this person received a coupon. Also write an expression that models the probability.
Answer:
The answer is "Option A".
Step-by-step explanation:
Dormitory students.
Please find the complete question in the attched file.
[tex]p (E_1) =0.73[/tex]indicates that teachers live in the west hall.
[tex]p (E_2) =0.27[/tex] indicates that the students live in the south tower.
[tex]P (D|E_1) =0.25[/tex] describes the likelihood which West Hall students received free coupons.
[tex]P (D|E_2) =0.19[/tex] indicates that students in the south tower were given free coupons.
[tex]P(D)=P(D|E_1)P(E_1)+P(D|E_2)P(E_2)\\\\=0.25 \times 0.73 +0.19 \times 0.27\\\\=0.234[/tex]
To maximize the probability that the person selected at random will receive the coupon, multiply the following numbers by the possibility of success of the coupon:
Classify the type of measurement as nominal ordinal ratio or interval
1 ranks in a dance contest
2 heights of basketball players
3 monthly electric bills
4 number of days in a calendar
5 aptitude test score
The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
Ranks in a dancing competition: This is an illustration of ordinal measurement since the values can be ranked or ordered, but the differences between the values are meaningless.
Basketball player heights: Although there isn't a genuine zero point, the values have significant variances between them, making this an example of an interval measurement.
Monthly electric bills are an example of a ratio measurement because there are real zero points and significant variances between the values.
Calendar day count: Because the values are categorical and cannot be ranked or sorted, this is an example of a nominal measurement.
Score on an aptitude test: This is an instance of an interval measurement because there are actual disparities between the results, but no actual zero point.
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7. On the 2nd floor, 18 of the nurses have less than 10 years of experience and 6 have
more than 10 years of experience. What is the ratio of more experienced nurses to total
nurses working on the 2nd floor reduced to lowest terms? The third floor has 16 nurses
working. If you wanted to maintain the same ratio of the 2nd floor, how many of the
nurses would have more than 10 years of experience?
Which equation has the solution x = 2?
A. 5x + 1 = 10
B. 4x - x = 4
C. 3x + 2 = 8
D. 2x - 3 = 9
Answer:
[tex]3x + 2 = 8 \\ 3x = 6 \\ x = \frac{6}{ 3} \\ x = 2[/tex]
what percent represents the part of the model shaded green?
A) 60%
B) 62.5%
C) 66.7%
D) 75%
Answer:
60%
Step-by-step explanation:
Because 3 ÷ 5 = 60% Hope that helps!
Answer fast?!??
Study the figure below
Answer:
B
Step-by-step explanation:
[tex]180 = 50 + 45 + b \\ 180 = 95 + b \\ 180 - 95 = b \\ b = 85[/tex]
[tex]180 = 75 + a + b \\ 180 = 75 + 85 + a \\ 180 = 160 + a \\ 180 - 160 = a \\ a = 20[/tex]
Bethany is making a rectangular fenced- in area for her rabbit in her yard. The area measures 4 3/4 feet wide by 2 yards long.
what's the total length of fencing that Bethany will need in feet?
Answer:
The total length of fencing that Bethany will need is 21.5 feet.
Step-by-step explanation:
Since Bethany is making a rectangular fenced- in area for her rabbit in her yard, and the area measures 4 3/4 feet wide by 2 yards long, to determine what's the total length of fencing that Bethany will need in feet the following calculation must be performed:
1 yard = 3 feet
2 yards = 6 feet
3/4 = 0.75
4.75 x 2 + 6 x 2 = X
9.5 + 12 = X
21.5 = X
Therefore, the total length of fencing that Bethany will need is 21.5 feet.
Bowler World charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 for shoes and $1.50 per game.
Part A
Drag numbers to complete a system of equations to represent the situation, using g for number of games and c for cost. Numbers may be used once, more than once, or not at all.
Bowler World: c = _____g + ____
Lucky Spares: c =____ g + _____
We just need the equations to equal the same, which is y.
5+1.10x=y
3+1.50x=y
5+1.10x= 3+1.50x
Le'ts get x by itself by subtract 3 from both sides.
2+1.10x= 1.50x
Now subtract 1.10x from both sides.
2= 0.4x
Now divide each side by 0.4
5=X
So, at 5 games they're the same cost. Let's find the cost.
5+1.1(5)= 5+5.5=10.50
3+1.5(5)=3+7.5= 10.50
So, at 5 games, they are $10.50.
Please help me, GodBless.
Answer:
(-1 , -1)
Step-by-step explanation:
You can simply use the substitution method to solve for this system. For simplicity, let's substitute the second equation (y=x) into the first equation. Basically switch the y's for x's in the first equation.
Therefore you get:
-6x - 5x = 11
-11 x = 11
x = -1
Then use the second equation that you substitued in to solve for y (y=x):
y = x
y = -1
So the final point is (-1, -1)
Answer:
The awnser is (-1,-1) i hope this helped you out
A swimming pool charges
Answer:
Charges what?
Step-by-step explanation:
Unfinished...
Answer:
Hello, it appears that you posted an incomplete question, if you re-edit your question and tell me what you're trying to figure out, I'd be more than happy to help you.
Step-by-step explanation:
if you answer this question correctly i'll give you brainliest
the table rewritten
2-10
4-20
6-30
10-50
Answer:
2-----10
4-----20
6-----30
10-----50
Step-by-step explanation:
10 * 5 = 50
President Kennedy was the fastest random speaker in the world with upwards of 350 words per minute. What is the median of the numbers 3,5,0?
Answer: 3
Step-by-step explanation:
Numbers in least to greatest
0,3,5 middle is 3
Lois is painting a mural on the side of a building. The side of the building is 14 feet by 9
feet. Lois got a deal on paint cans that each cover 5 square feet. How many of these
paint cans will she need to cover the side of the building?
Answer:
I believe it is 29 cans of paint right?
Hope this helps