Step-by-step explanation:
Hello there!!
You can find it through simple way of ratio of sin or also by using cosine rule.
Lets do it simply as i can see your just 1st pic not second one so, i will answer you according to it.
so, here in question a Right angled triangle is given, with one angle 31° and one side 15 cm.
let's take sin angle as sin 31°.
so, p=h
h=15
We dont need base (b) here.
As we know that, thesin in ratio angle is
sin thita = p/h
or, sin 31°=h/15
or, 0.515038×15=h (using calculator sin 31°=0.515038.)
Therefore, the answer is 7.722557cm or 8cm.(as 7>5 and rounding off it we get 8).
Hope it helps...
The value of h in the right angled triangle is 7.7 cm.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
In the diagrams, using trigonometric ratio:
a) sin(31) = h/15
h = 7.7 cm
b) cos(24) = h/13
h = 11.9 cm
c) sin(37) = h/15
h = 9 cm
d) cos(47) = h/12
h =8.2 cm
e) sin(48) = h/18
h = 13.4 cm
The value of h in the right angled triangle is 7.7 cm.
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(-3,0) m = 2
Finde slope intercept form
Answer: y = 2x + 6
Step-by-step explanation:
Slope-Intercept form is represented by y = mx + b, whereas m represents the slope and b represents the y-intercept.
m = 2 is the slope (up 2 units, over 1 unit) and the line goes through 6 on the y-axis, which is where + 6 comes in.
The line also goes through (-3, 0) using the slope.
Factor this polynomial completely.
15x^2 - 11X - 12
Need help ASAP!!
Answer:
( 5 x + 3 ) ( 3 x − 4 )
A
Step-by-step explanation:
the answer is A. (5x+3) (3x-4)
What is the difference between the Segment Addition Postulate and the Midpoint of a Segment?
Answer:
Does this help?
Step-by-step explanation:
Segment Addition Postulate: If B is between A and C, then AB + BC = AC. In geometry two objects that have the same size and shape are called congruent. ... The midpoint of a segment is the point that divides the segment into two congruent segments.
4/5 of a number is 32
Answer:
x = 40
Step-by-step explanation:
Step 1: Write out an equation
4/5(x) = 32
Step 2: Solve by dividing both sides by 4/5
x = 32/(4/5)
Use KCF (Keep Change Flip) if you do not have a calc.
x = 40
Answer:
The answer is 40
Step-by-step explanation:
32 times 5 is 160
then: 160 divided by 4 is 40.
check the answer: 4/5 of 40 is 32
because 40 divided by 5 is 8 and then times 8 by 4, so the answer would be 40.
Hope this helps!!!(40 POINTS) TRUE OR FALSE? The transformation of the function f(x) = (1/2)^x when it becomes f(x) = (1/2)^x+3 is a horizontal shift of 3 units to the right?
Answer:
False.
Step-by-step explanation:
You can put x=0 into both of the equations to justify. At the first equation, when x=0, f(x)=0. In the second equation, when x=0, f(x)=3. F(x) is the value of y. So, the function has moved 3 units up, not 3 units to the right.
The second angle of a triangle is double the first angle. The third angle is 40 less than the first angle. Find the three angles.
Answer:
Angle 1: 55
Angle 2: 110
Angle 3: 15
Step-by-step explanation:
Angle 1: x
Angle 2: 2x
Angle 3: x-40
The total degrees for all the angles in a triangle add up to 180, so we now have the equation x+2x+x-40=180. From here we solve to get 55 degrees for x, so angle 1 is 40 degrees, angle 2 is 110 (2 times 40) and the third angle is 15 (55-40).
Please answer this question now in two minutes
Answer:
A. 17.5
Step-by-step explanation:
4x+8 27
L-------------M-------------------------N
<------------------ 6x -------------------->
LM = 4x+8
MN = 27
LN = 6x
LM + MN = LN
4x+8 + 27 = 6x
35 = 2x
17.5 = x
PLEASE HELP VERY URGENT ITS DUE TODAY PLEASE HELP Complete the table for the given rule. Rule: y=1/4x + 1
X Y
4
8
12
Answer: Y = 2 ; 3 ; 4
Step-by-step explanation:
Given the rule : y=1/4x + 1
X = 4, 8, 12
When x = 4
y = 1/4(4) + 1
y = 1 + 1
y = 2
When x = 8
y = 1/4(8) + 1
y = 8/4 + 1
y = 2 + 1
y = 3
When x = 12
y = 1/4(12) + 1
y = 12/4 + 1
y = 3 + 1
y = 4
Therefore ;
X - - - 4 - - - 8 - - - 12
Y - - - 2 - - - 3 - - - 4
List the numbers that are in set (A U B)'
Answer
Step-by-step explanation:
(A U B) means that we should list the numbers that are in both A and B 12/8/10 are for example in both A and B THE COMPLEMENT is anything that is out ( A U B ) so 1,3 and 5If you were to pull colored marbles out of the bag (one at a time, and putting the marble back each time) for 500 tries, approximately how many times would you select a red marble?
Answer:
We need to know the other marbles in the bag and how many there are of each.
someone help me I will give brainliest:)
Answer:
Hello There. The correct answer is 10^(-4)
Explanation: 0.000 038 52 x 3.852 = Hope it Helps! ♡ 10^(-4)
ItsNobody~
Please help me with trig I’d really appreciate
Answer:
2 root 10/ 7, or the second option.
Step-by-step explanation:
If a is 3, then b is root 40. (Pythagorean)
root 40= root 4x10, or 2 root 10
Tangent= opposite/hypotenuse
Tangent= 2 root 10/ 7
90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time. Are the events, departing on time and arriving on time, independent?
Complete Question
90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time.
• You are meeting a flight that departed on time. What is the probability that it will arrive on time?
• You have met a flight, and it arrived on time. What is the probability that it departed on time?
• Are the events, departing on time and arriving on time, independent?
Answer:
1st Question
[tex]P(X_1) = 0.833[/tex]
2nd Question
[tex]P(X_2) = 0.938[/tex]
3rd Question
The probabilities are not independent
Step-by-step explanation:
From the question we are told that
The probability of flight that depart on time is P(DT) = 0.9
The probability of flights that arrive on time is [tex]P(AT) = 0.8[/tex]
The probability of flight that depart on time and arrive on time is [tex]P(DT\ |\ AT) = 0.75[/tex]
In the first question the flight is departed on time so the probability that it will arrive on time is
[tex]P(X_1) = \frac{P(DT\ | \ AT)}{DT}[/tex]
substituting values
[tex]P(X_1) = \frac{0.75}{0.9}[/tex]
[tex]P(X_1) = 0.833[/tex]
In the second question the flight arrived on time, so the probability that it departed on time is mathematically evaluated as follows
[tex]P(X_2) = \frac{P(DT\ | \ AT)}{AT}[/tex]
substituting values
[tex]P(X_2) = \frac{0.75}{0.8}[/tex]
[tex]P(X_2) = 0.938[/tex]
Looking at the given and calculated values we see that the probability of depart on time and arrive is not equal to the probability of depart on time,
i.e 0.75 = 0.8
the probability of depart on time and arrive, and the probability of depart on time are not independent
Calculate the area of this triangle.
16 cm
24 cm
20 cm
Answer:
Step-by-step explanation:
Area of triangle = 1/2 × b × h
= 1/2 × 24 × 16
= 192 cm^2
Hope this helps
plz mark as brainliest!!!!
Answer:
192 cm²
Step-by-step explanation:
Area of a triangle is equal to base × height × 1/2.
24 × 16 × 1/2
384 × 1/2
= 192
translate into an algebraic expression: 120 is increased by d % and increased by 25% . What is the result ?
The result is number [tex]r[/tex] where:
[tex]r=(120+120\cdot\frac{d}{100})+(120+120\cdot\frac{d}{100})\cdot\frac{25}{100}[/tex]
Hope this helps.
H(x)=-5x^2+10x+15h(x)=−5x 2 +10x+15h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 10, x, plus, 15 What is the height of the stone at the time it is thrown?
Answer:
15 units
Step-by-step explanation:
Given the equation which models the path of a stone as:
[tex]H(x)=-5x^2+10x+15[/tex]
At the time when the stone was thrown
x=0
Therefore:
[tex]H(0)=-5(0)^2+10(0)+15\\H(0)=15[/tex]
The height of the stone at the time it is thrown is 15 units.
Pleas answer this is in two minutes
Answer:
b
Step-by-step explanation:
not a because equilateral would be all equal
scalene is all different
Answer:
scalene
Step-by-step explanation:
because all sides are different.
Fill in the blanks to solve 2{,}000 \times 92,000×92, comma, 000, times, 9. 2{,}000 \times 92,000×92, comma, 000, times, 9 Step 111 {} \times \ 2 \times 9× 2×9times, space, 2, times, 9 Step 222 {}\times \ 18× 18times, space, 18 Step 333
Answer:
[tex]\boxed{}[/tex] =1,000
Step-by-step explanation:
We want to solve: [tex]2{,}000 \times 9[/tex]
Now, 2000=1000 X 2
We were given the following steps:
[tex]S$tep 1: \boxed{1000} \times \ 2 \times 9\\S$tep 2: =\boxed{1000} \times \ 18\\S$tep 3: =18,000[/tex]
Therefore, the blank space is to be filled with 1000.
[tex]2{,}000 \times 9 =18{,}000[/tex]
Solve for g. 3/16 = (-5/4) + g
Answer:
g = 23/16
Step-by-step explanation:
3/16 = (-5/4) + g
Add 5/4 on both sides.
3/16 + 5/4 = g
Make denominators equal and add.
3/16 + 20/16 = g
23/16 = g
Francisco states the following: When two or more factors are multiplied and they have the same sign, the product is positive. List two examples that support Francisco's statement. Show their products.
Answer: Francisco is correct
Step-by-step explanation:
Positive 4 and positive 7
Negative 3 and negative 2
4 * 7 = 28
-3 * -2 = 6
Cameron Indoor Stadium at Duke University is one of the most revered sites in all of college basketball, as well as in all of sports period. Duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. Cameron Indoor Stadium is capable of seating 9,460 people. For each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance. If each ticket costs $45.50, find the domain and range of this function.
Answer:
Step-by-step explanation:
The domain of a function is the set of values that satisfies the independent variable while the range of the function is the set of values that satisfies the dependent variable.
Since for each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance, then the dependent variable is the amount of money while the independent variable is the number of people. The domain is between 0 and 9460 people. Therefore, the domain of this function is
0 ≤ x ≤ 9460
Where x represents number of people.
For the range, the lowest total sales is 0 × 45.5 = $0
The highest total sales is
9460 × 45.5 = $430430
The range is
0 ≤ y ≤ 430430
Where y represents total sales
X=2 in standard form
Answer:
[tex]A2+By=C[/tex]
Step-by-step explanation:
Well standard form is [tex]Ax+By=C[/tex].
And we have x = 2 meaning that x is 2 so the standard is [tex]A2+By=C[/tex].
So basically if we know that x is 2 and x is in the standard for equation we can just plug it in.
So [tex]Ax+By=C[/tex]
x -> 2
So answer is [tex]A2+By=C[/tex]
2A+By=C is the standard form of X=2
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The standard form of a linear equation is Ax+By=C.
A times of x plus B times of y equal to C
A, B, and C are constants,
x and y are variables.
Standard form lets us quickly find the x- and y- intercepts.
By given x value is 2.
Now plug in the value of x in standard form of equation.
2 times of A plus B times of y equal to C
2A+By=C
Hence 2A+By=C is the standard form of X=2
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TWO MINUTES HELP MY PLEASE
Answer: C
Step-by-step explanation:
Answer:
The third one. Y= -1/2x^2 -2x -1
Step-by-step explanation:
Match each expression on the left to its simplified version on the right.
Answer:
In the photo
Step-by-step explanation:
Simply multiply the numbers out of the brackets to the numbers in them, adhering to algebraic rules.
Answer:
the one above me is right expet for 2 of them purple and orange
Step-by-step explanation:
it was right on edge
Work out the temperature after this change. The temperature starts at −2 °C and it falls by 8 °C.
Answer:
-10 degree celsius
Explaination:
(-2) - 8
= -2 + -8
= -10 degree celsius
Hope this helps and pls mark as brianliest :)
simplify 3 x (x + 2) + 2 x ( 1 - x)
Answer:
x+8
Step-by-step explanation:
[tex]3\times(x+2)+2\times(1-x)=\\\\3(x)+3(2)+2(1)+2(-x)=\\\\3x+6+2-2x=\\\\x+8[/tex]
Hope this helps!
Answer:
x + 8
Step-by-step explanation:
3 × (x + 2) + 2 × (1 - x)
3(x + 2) + 2(1 - x)
Expand the brackets.
3(x) + 3(2) + 2(1) + 2(-x)
Multiply the terms.
3x + 6 + 2 + -2x
Rearrange.
3x + - 2x + 6 + 2
Add like terms.
1x + 8
Suppose a triangle has sides a, b, and c, and the angle opposite the side of length b obtuse. What must be true?
Answer:
C
Step-by-step explanation:
If the angle opposite b is the obtuse angle then the answer is a² + c² < b² because in an obtuse triangle, the sum of the squares of the shortest sides must be less than the square of the longest side. In this case, the longest side is the one opposite the largest angle, which is b.
Answer:
C.
Step-by-step explanation:
In triangles, the largest angle is always opposite from the longest side.
In other words, since the angle opposite to side b is obtuse and there are only 180 degrees in a triangle, then side b must be the longest side.
In an obtuse triangle, the longest side squared will always be greater than the squared values of the two shorter sides.
The correct answer is C.
I divided one hole number by another hole number and got 3.125 on my calculator. both my numbers are less than 50 but I'v forgotten what they are. Can you work out what they are?
Answer:
25 and 8
Step-by-step explanation:
a/b = 3.125
a/b = 3125/1000
make it simple (divide by 25)
a/b = 125/40
ah, can be more simple (divide by 5)
a/b = 25/8
see 25 + 8 is less than 50
Step-by-step explanation:
1.25/8=3.125
50/16=3.125
but it tells that both two numbers are less than 50 then,the numbers are 25 and 8
Please Answer! Select the correct answer. Waylan created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Waylan drew?
Answer:
The answer is y=3/4+5 (C)
Step-by-step explanation:
You have to find two exact points on the line then calculate the rise/run (3/4). 3/4 is the slope. Now all that's left is to find the y- intercept (where the line crosses the y-axis) which is 5. Which leaves you with answer choice C.
The equation of the line of best fit that Waylan drew is y=3/4 x+5. Therefore, the correct answer is option C.
From the given graph, the coordinate points are (4, 8) and (16, 17).
Here, slope (m) = (y₂-y₁)/(x₂-x₁)
= (17-8)/(16-4)
= 9/12
= 3/4
Substitute m=3/4 and (x, y)=(4, 8) in y=mx+c, we get
8=3/4 ×4+c
8=3+c
c=5
Substitute m=3/4 and c=5 in y=mx+c, we get
y=3/4 x+5
Therefore, the correct answer is option C.
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Ifx=-3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the
equation?
Answer:
D = 0
Step-by-step explanation:
Given
x-intercept = -3
Required
What does the discriminant represent?
The discriminant of a quadratic function can take any 3 values; these are as follows;
When D > 0 When D < 0When D = 0Which translates to
signifies that two different real roots existsignifies that only complex roots existsignifies that the two identical real roots existThe question says that x-intercept = -3 is the only value;
This means that: x = -3 or x = -3
Analyzing the roots
3 and -3 are identical-3 and -3 are realThis means they satisfy condition number 3;
Hence, D = 0