Answers
Answer:
D. is √3/2 s^2
The area of the given triangle is (√3/6) s² so option (C) will be correct.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
Area of right angle triangle ;
A = (1/2) × Base × Hight
Tan 30° = height/s
1/√3 = height/s
height = s/√3
Now,
A = (1/2) × s × s/√3
A = 1/(2√3) × s²
Multiply √3 on numerator and denominator
A = √3/6 × s²
Hence "The area of the given triangle is (√3/6) s²".
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Related Questions
An angle measures 130° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
An angle measures 130° more than the measure of its supplementary angle.
Therefore the required angle is (180°-130°)°=50°
50° is the right answer.The measure of the angle is A = 50° and the supplementary angles are given by 130° and 50°
What are Supplementary and Complementary Angles?Supplementary angles are two angles that have a sum of 180°.
Complementary angles are two angles that have a sum of 90°.
Given data ,
Let the first angle be represented as A
Now , the value of A is
Let the second angle be represented as B
And , the value of B is B = 130°
The angles A and B are supplementary
So , A + B = 180°
On simplifying , we get
The measure of A + 130° = 180°
Subtracting 130° on both sides , we get
The measure of angle A = 180° - 130°
The measure of angle A = 50°
Hence , the measure of angle is 50°
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Solve the proportion.2/1 = t/7
t =
Answers
Answer:
[tex] \frac{2}{1 } = \frac{t}{7}[/tex]
I crossed multiplied
t1=7×2
t1=14
t= 14÷1
t=14
I am not sure
.2/1 = t/7
7 x .2 = 1.4
7 x 1 = 7
1.4\7
Can some one help thanks
Answers
Answer:
y = 8
Step-by-step explanation:
First substitute x with 6 in the equation
2y + 1/3(6) = 18
Multiple 1/3 with 6, which is 2
2y + 2 = 18
Solve the equation by subtracting 2 from both sides
2y + 2 = 18
- 2 - 2
You get 2y = 16, so you divide 2 frm both sides
You get y = 8
Which graph represents y = Two-thirdsx + 3?
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (4, 0).
On a coordinate plane, a line goes through points (negative 3, 1) and (0, 3).
On a coordinate plane, a line goes through points (0, 3) and (3, 1).
Answers
Answer:
c edge 2021;)
Step-by-step explanation:
Select all of the ratios that are equivalent to 6:16. 2:8 3:8 1218 3080 18 to 48
Answers
Answer:
c and d
Step-by-step explanation:
The equivalent ratios to 6 : 16 are, 3 : 8, 30/80 and 18 to 48.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, A ratio 6 : 16 = 3 : 8.
So, One equivalent ratio is 3 : 8.
Now, Going through options,
10×3 : 10×8.
= 30 : 80.
= 30/80.
6×3 : 6×8.
= 18 : 48.
= 18 to 48.
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PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
55 degrees
Step-by-step explanation:
can someone plz solve this 3.2/9 = x/36
Answers
Answer:
The answer is 12.8
Step-by-step explanation:
I looked it up
The graph of a linear function is shown on the grid . What is the slope of the line
A) -10
B) -3/2
C) -2/3
D) 2
Answers
The slope of the equation is 2. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The graph of a linear function is shown on the grid.
From the graph, the points are (-2.5, 0) and (0, 5) and the y-intercept is 5. The slope of the line is given as,
m = (5 - 0) / (0 + 2.5)
m = 5 / 2.5
m = 2
The slope of the equation is 2. Then the correct option is D.
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The missing graph is attached below.
Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 12 boxes. Assume that the population is normally distributed. 14.02 13.97 14.11 14.12 14.1 14.02 14.15 13.97 14.05 14.04 14.11 15.08 Find the sample standard deviation s. Round the answer to three decimal places.
Answers
Answer:
There are multiple answers
Step-by-step explanation:
i need some help pls :'(
Answers
Answer:
a
Step-by-step explanation:
Will the answer to the following expression be Positive or Negative?
(-3)(2)(15) =?
a
Positive
b
Negative
Answers
Answer:
Negative
Step-by-step explanation:
Bevause negative times positive is negative
Answer:
Negative
Step-by-step explanation:
(−3)(2))(15)
=(−6)(15)
= −90
so it's negative 90 hopefully this helps
Solve the system of equations by substitution - 5x+8y= -86
y=6x-43
Answers
Answer:
(6 ,-7)
Step-by-step explanation:
[tex] - 5x + 8y = - 86 \\ y = 6x - 43 \\ - 5x = - 86 - 8y \\ x = 17.2 + 1.6y \\ y = 6(17.2 + 1.6y) - 43 \\ y = 103.2 + 9.6y - 43 \\ 8.6y = - 60.2 \\ y = - 7 \\ [/tex]
[tex]x = 17.2 + 1.6( - 7) \\ x = 17.2 - 11.2 \\ x = 6[/tex]
explain why 15 + 1/2n is an algebraic expression
Answers
The expression 15 + 1/2n is an algebraic expression because, the expression contains a variable and this variable is Variable n.
Discussion:
A determining factor for concluding which expression is algebraic or not is the presence or absence of a variable.
However, in this case, the expression, 15 + 1/2n is an algebraic expression due to the fact that it contains a variable, n.
Read more on algebraic expressions;
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imma look what dis is
Answers
Answer:
its loading but ill help!
Step-by-step explanation:
The weight of an object on the moon is 1/6 its weight on earth. If a bowling ball weighs 12 and 1/2 pounds on earth, how much does it weigh on the moon?
Answers
Isaac was having cookies and milk with his
little brother. He got out a jug that held
16 cups of milk. Isaac drank 1 cups and
his brother drank 12 cups. How much
milk was left in the jug?
Answers
Answer:
There is now 3 cups of m ilk left in the jug.
Step-by-step explanation:
12+1=13 | 13-16=3
ANSWER: 3
Distribute -2(c - 8)
Answers
Answer:
-2c + 16-Step-by-step explanation:
give me brainliest pleasegiven:
[tex]-2(c-8)[/tex]
[tex]-2(c) + -2(-8)[/tex]
[tex]-2c + (--16)[/tex]
[tex]-2c + (+16)[/tex]
[tex]-2c+16[/tex]
Answer:
Step-by-step explanation:
-2*c - (-2)*8 = -2c + 16
What’s the answer pls
Answers
Answer:
Step-by-step explanation:
There is no bird on the spinner. therefore the answer is impossible because there is no bird.
Answer:
Impossible - There's no bird on the wheel.
Step-by-step explanation:
4x + 3y = -5
-2x+2y = 6
Answers
Answer:
4x + 3y = -5
x = −3 /4 y + −5 /4
y = −4 /3 x + −5 /3
-2x+2y = 6
x = y - 3
y = x + 3
Step-by-step explanation:
Solving for x
4x + 3y = -5
4x + 3y + −3y = −5 + −3y
4x = −3y − 5
Then you will divide both sides by 4.
4x /4 = −3y − 5 /4
x= −3 /4 y + −5 /4
Solving for y
4x + 3y + −4x = −5 + −4x
3y = −4x −5
Then you will divide both sides by 3.
3y /3 = −4x −5 /3
y = −4 /3 x + −5 /3
-2x + 2y = 6
Solving for x
−2x+2y+−2y=6+−2y
−2x = −2y + 6
Then you will divide both sides by -2.
−2x/ −2 = −2y + 6/ −2
x = y − 3
Solving for y
−2x + 2y + 2x = 6 + 2x
2y = 2x + 6
Then you will divide both sides by 2.
2y /2 = 2x + 6 /2
y = x + 3
A popular soft drink is sold in 2-liter (2,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 2,000 milliliters and a standard deviation of 20, normally distributed. a. If the process overfills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring
Answers
Answer:
0.0062 = 0.62% probability of this occurring
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 2000, \sigma = 20[/tex]
a. If the process overfills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring
Probability of filling the bottle with more than 2000 + 50 = 2050 milliliters, which is 1 subtracted by the pvalue of Z when X = 2050. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2050 - 2000}{20}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
1 - 0.9938 = 0.0062
0.0062 = 0.62% probability of this occurring
Consider cookie recipe in which recups o chocolate chips are needed to make 25 cookies. Lara wants to double the number of
consecues of chocoches should she use?
Answers
Question:
Consider a cookie recipe in which 1 1/2 cups of chocolate chips are needed to make 25 cookies. Lara wants to double the number of cookies. How many cups of chocolate chips should she use?
Answer:
[tex]Cups = 3[/tex]
Step-by-step explanation:
Given
[tex]Cups = 1\frac{1}{2}[/tex]
[tex]Cookies = 25[/tex]
Required
Number of cups when the cookies is doubled
When [tex]Cookies = 25[/tex], [tex]Cups = 1\frac{1}{2}[/tex]
So, when the number of cookies is doubled, the number of cups will also be doubled.
i.e.
[tex]Cookies = 25*2[/tex]
[tex]Cookies = 50[/tex]
and
[tex]Cups = 1\frac{1}{2} * 2[/tex]
Convert to improper fraction
[tex]Cups = \frac{3}{2} * 2[/tex]
[tex]Cups = \frac{3* 2}{2}[/tex]
[tex]Cups = \frac{6}{2}[/tex]
[tex]Cups = 3[/tex]
i.e. 3 cups are needed
a. Miss Butler made a circle graph to show the grades on the term papers. There were 14 B's, 10 A's, and 8 C's.
Answers
I need help please.
Answers
Answer:
D 18 percent
Step-by-step explanation:
So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred
the equation should be 18 is what percent of 100 which is the same thing as 18/100
18 divided by 100 is .18
Can anyone help me pls
Answers
Answer: likely
Step-by-step explanation:
Find the point slope equation of the line through (0,7) with slope of 6.
Answers
Answer:
y-7= 6(x-0)
Step-by-step explanation:
y-y1=m(x-x1) is the point slope form. The slope is substituted by the m while (x1,y1) are any coordinate on the plane. As you already have to coordinates (0,7) and the slope of 6 substitute it into the equation, to get y-7=6(x-0). Hope this helps!
3. The two lines graphed on the coordinate grid each represent an equation.
y
O
(-2, 6)
(3,5)
(-6, 2)
X
O
O
9-8-7-6 -5 -3 2 -1
12
4 5 6
7 8 9
K-6, -6)
CLEAR
Which ordered pair represents a solution to both equations?
Answers
Answer:
Step-by-step explanation:
(-4,0)
If FGH ~ KJH, find FH.
Answers
The required length of FH is obtained as 64.68.
What is the criteria for similarity of two triangles?Two triangles are said to be similar when either the ratio of their corresponding sides are equal or all the corresponding angles are equal.
Two similar triangles are the same in shape but not in size.
The given diagram shows two similar triangles as ΔFGH and ΔKJH.
Since the ratios of the corresponding sides of the two triangles are equal, the following equation can be written for the given case as,
(x + 8)/32 = (4x - 25)/52
=> 52(x + 8) = 32(4x - 25)
=> 52x - 128x = -32 × 25 - 52 × 8
=> -76x = -1716
=> x = 22.42
Thus FH = 4x - 25 = 4 × 22.42 - 25 = 64.68
Hence, the length of FH for the given case is 64.68.
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Please help me with these math problems! I have had so much going on lately and haven't had time to do them
Will give lots of points and make brainliest please help
Answers
tan A = 3/4
tan B = 4/3
tan S = 12/5
tan Q = 5/12
2. 4/3
3. 12/5
4. 5/12
Determine which choice best shows the distributive property of multiplication.
Question 2 options:
1 × 6 = 6
6 × 9 = 9 × 6
6 × (9 + 8) = (6 × 9) + (6 × 8)
6 × (9 × 8) = (6 × 9) × 8
Answers
Answer:
c) 6× (9+8) = (6 × 9) + (6× 8)
Step-by-step explanation:
Distributive property of multiplication
The distributive property of multiplication
a(b+c) = a b + a c
(a+b)c = ac + bc
6× (9+8) = (6× 9) + (6×8)
Write a division equation that represents the question: how many 3/8s are in 5/4
Answers
Answer: 1
Step-by-step explanation: 3/8 = 24 5/4= 20