Answer:
12 units^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
A = 1/2 ( 6 ) * 4
A = 1/2 (24)
= 12 units^2
I have to find sin 0 in the following triangle. I need guidance
ANSWER:
\(\sin\theta=\frac{4\sqrt{13}}{17}\)STEP-BY-STEP EXPLANATION:
The sine is the ratio between the leg opposite the angle and the hypotenuse.
The leg opposite the angle shown in the image is 4√ 13.
Therefore:
\(\sin\theta=\frac{4\sqrt{13}}{17}\)As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.
1, 4, 4, 4, 4, 6, 5
What is the standard deviation of the data?
1.41
1.53
2.33
5
Answer:
B: 1.53
Step-by-step explanation:
The mean, or average, is 4, and n, the amount of numbers, is 7. To find the standard deviation, first, all of the numbers are subtracted by the mean. This makes (-3, 0, 0, 0, 0, 1, 2). Square all of them to get (9, 0, 0, 0, 0, 1, 4). Next add the squared numbers together (9 + 0 + 0 + 0 + 0 + 1 + 4 = 14). Next, the variance needs to be found. That is found by this formula: (Sum of previous number set ÷ (n - 1)). So in this case, (14 ÷ (n - 1)). Since n is 7, it is (14 ÷ (7 - 1)), or (14 ÷ 6). The answer to that is 2.3 repeating. After the variance is found, it is square rooted to get the standard deviation. √2.3 is about 1.53. Hope this helps! Have a great day! :)
Write the opposite of the situation:
8 yd. gain in foot ball
pls help will give brainiest for fast and correct answer
1
Answer:
-8 yd. lost in football
Step-by-step explanation:
(y^2 - 3y - 5) - ( -y^2-7y+4 ):
A. 2y^2 +4y - 9
B. 2 y^2 - 10y +4
C. -2 y^2 -10y - 1
D.2y^2 -7y + 1
Answer:
\((y {}^{2} - 3y - 5) - ( - {y}^{2} - 7y + 4) \\ {y}^{2} - 3y - 5 + {y}^{2} + 7y - 4 \\ 2 {y}^{2} + 4y - 9\)
A is the correct answer
N
50°
AOMN~ ARPQ
Find 0.
M
Ө
0 = [?]°
<
P
70°
R
Answer:
60°
Step-by-step explanation:
In similar triangles, the corresponding angles are congruent.
∠O = R
O = 70°
In ΔOMN,
∠O + ∠M + ∠N = 180 {Angle sum property of triangle}
70 + 50 + Ф = 180
120 + Ф = 180
Subtract 120 from both sides,
Ф = 180 - 120
Ф = 60°
Sally is planning the school picnic and needs to decide what food vendor to
use. She asks 500 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table.
Taco truck Fruit smoothies Total
17
250
Eighth-graders 233
Ninth-graders 240
10
250
Total
473
27
500
What is the relative frequency of eighth-graders who want fruit smoothies?
O A. 0.03
OB. 0.02
O C. 0.48
O D. 0.17
Answer:0.03
Step-by-step explanation:
Answer:
0.03
Step-by-step explanation:
A=(a+b)h divided by2
Pls help thank you so much
Emoji were first introduced on Japanese mobile phones in the year 1997.
Write an inequality that describes y, the years before emoji were introduced.
Enter your inequality without a thousands separator.
Answer:
1997 > y
Step-by-step explanation:
The inequality that presents year before 1997 is y<1997
What is inequality?Inequality shows relation between two expression which are not equal to each others.
According to given condition,
The emoji were introduced in the year 1997,
There can be infinite year before 1997, when emoji were not introduced.
The year y that describes inequality the year before 1997 can be represented as,
y<1997
The required inequality is y<1997.
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Conner and Alexandra are 260 feet apart when they start walking toward one another. Alexandra walks twice as fast as Conner so whenever Conner travels x feet, Alexandra travels 2 x feet. Let x represent the number of feet Conner has traveled since he started walking toward Alexandra. Write an expression in terms of x to represent the total number of feet Conner and Alexandra have walked toward one another. 3x Correct Write an expression in terms of x to represent the distance (in feet) between Conner and Alexandra.
Answer:
i) 3x
ii) d = 260 - 3x
Step-by-step explanation:
Given:
Conner traveled x feet
Alexandra traveled 2x feet
Total distance = 260 ft
i) The expression in terms of x to represent the total number of feet Conner and Alexandra have walked toward one another will be:
This will be the total number of feet they have walked towards one another
= x + 2x
= 3x
ii) An expression in terms of x to represent the distance (in feet) between Conner and Alexandra.
This will be to find the distance between Conner and Alexandra.
Thus, distance between them will be:
d = 260 - (x + 2x)
d = 260 - 3x
Which equation is equivalent to 7-2(3x+4)=8x
A -6x+15=8x
B-6x-1=8x
C15x+20=8x
The equation that is equivalent to the expression 7-2(3x+4)=8x is
-6x - 1 = 8x.
Option B is the correct answer.
We have,
To find the equation that is equivalent to 7-2(3x+4)=8x, simplify the given equation by applying the distributive property and combining like terms.
7 - 2(3x + 4) = 8x
First, distribute the -2 to the terms inside the parentheses:
7 - 6x - 8 = 8x
Combine like terms:
-6x - 1 = 8x
Thus,
The equation that is equivalent to the expression 7-2(3x+4)=8x is
-6x - 1 = 8x.
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If a ring costs a jeweler $2100, at what price should it be sold to yield a profit of 50% on the selling price?
write 1,340 in scientific notatin
1340 = 1.34 x 10^3
Remember that scientific notation has a number between 1 and 10 multiplied by 10 to a certain power. To find the exponent, count the number of times you moved the decimal point.
Hope this helps!! :)
Need help ASAP thank you!!!
Answer:
= 180 yd^3
Step-by-step explanation:
The volume of a triangle prism is
V= Bh where B is the area of the base
B = area of the triangle
= 1/2 *8* 5
= 20 yd^2
V = 20 yd^2 * 9 yd
= 180 yd^3
solve 3! no other context it just says solve 3! no equation either.
Answer:
6
Step-by-step explanation:
The notation 3! means to find the factorial of 3. The factorial of an integer n = n * (n-1) * (n-2) *... all the way down to 1. So in this case, 3 factorial is:
3 * 2 * 1 = 6
need help asap please
Answer:
\(\displaystyle no\)
Step-by-step explanation:
UT is shorter than WT, therefore you cannot use it on this triangle.
I am joyous to assist you at any time.
where is ( -3 1/2, -1 1/4 ) on the coordinate plane?
The point (\(-3\frac{1}{2}\), \(-1\frac{1}{4}\) ) on the coordinate plane is shown in the figure .
The Coordinate plane can be defined as a 2 D plane formed by the intersection of two line ,
where the horizontal line is called x axis and
the vertical line is called y axis .
In the question ,
the point is given
the point is (\(-3\frac{1}{2}\) , \(-1\frac{1}{4}\) )
writing the mixed fraction in decimal form , we get
x coordinate = \(-3\frac{1}{2}\) ⇒ -(3*2+1)/2 = -7/2 = -3.5
y coordinate = \(-1\frac{1}{4}\) ⇒ -(1*4+1)/4 = -5/4 = -1.25
So, the point to be plotted on the coordinate plane becomes (-3.5,-1.25)
the points plotted are shown in the figure below .
Therefore , the point ( \(-3\frac{1}{2}\), \(-1\frac{1}{4}\) ) on the coordinate plane is shown in the figure .
The given question is incomplete , the complete question is
Where is (\(-3\frac{1}{2}\) , \(-1\frac{1}{4}\) ) on the coordinate plane?
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How to figure out equivalent fractions
Answer:
You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers
Answer:
Step-by-step explanation:
By using multiplication or division. Multiplying the numerator and denominator or simplifying which is also division.
please help it’s urgent no trolls please!!!
Answer: 142
Step-by-step explanation:
94 + 48 = ang 1
142 = ang 1
Using substitution, what is the solution for the system of equations below..
y = -1x + 6
y = -12x - 5
Answer:
Step-by-step explanation:
Solve the System of Equations
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−1,7)
Equation Form:
x=−1,y=7
show full solutions.15. Name the indicated parts of this diagram.
Given:
A circle with a center at C.
Required:
We need to find the names of the given parts.
Explanation:
Recall that radius is a line segment extending from the center of a circle to the circumference.
Line segment AC extends from the center C of a circle to the circumference.
\(AC=Radius\)Recall that the arc of a circle is defined as the part of the circumference of a circle.
AE is the part of the circumference of a circle.
\(AE=Arc\)Recall that a straight line segment joins and is included between two points on a circle.
D and E are two points on a circle.
A straight line DE line segment joins and is included between two points D and E on a circle.
\(DE=Chord\)Recall that meeting a curve or surface in a single point if a sufficiently small interval is considered a straight line tangent to a curve.
AB is tangent.
\(AB=Tangent\)Recall that an inscribed angle is an angle with its vertex "on" the circle, formed by two intersecting chords.
\(\measuredangle ADE=\text{ Inscribed angle.}\)Recall that a central angle is an angle formed by two radii with the vertex at the center of the circle.
\(\measuredangle ACE=\text{ Central angle}\)Recall that an angle formed by an intersecting tangent and chord has its vertex "on" the circle.
\(\measuredangle\measuredangle CAB=\text{ Tangent Chord Angle}\)Final answer:
\(AC=Radius\)\(AE=Arc\)\(DE=Chord\)\(AB=Tangent\)\(\measuredangle ADE=\text{ Inscribed angle.}\)\(\measuredangle ACE=\text{ Central angle}\)\(\measuredangle\measuredangle CAB=\text{ Tangent Chord Angle}\)A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer. 64m 86m
To solve this problem, we have to find the area of the semi circles and the area of the rectangle and add them up together.
The area of the field is equal to 8719.36m^2
Area of the FieldLet us start by finding the area of the rectangle.
Data;
width = 86mlength = 64mArea of a rectangle is given as
\(a = length * width \\a = 86 * 64\\a = 5504m^2\\\)
The area of the rectangle is 5504m^2
Area of the semicircle
The formula of a semi circle is given as
\(A = \frac{1}{2} \pi r^2\)
But since we have two semi circles here, we can simply multiply it by two and the formula becomes
\(A = 2 * \frac{1}{2} \pi r^2\\A = \pi r^2\)
But in the question, we have the diameter of the semi circle as the length of the rectangle.
\(radius = \frac{diameter}{2} \\radius = \frac{64}{2} \\radius = 32m\)
The radius of the semicircle is 32m
Area of the semicircle is
\(A = \pi r^2\\A = 3.14 * 32^2\\A = 3215.36m^2\)
The area of the field is
\(area of field = 3215.36 + 5504\\area = 8719.36m^2\)
The area of the field is equal to 8719.36m^2
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There are 6 candidates running in a race for a public office. The candidates will give speeches one at a time at an event. How many different orders are there in which the candidates speeches can be delivered?
what is 7/10 times 1000
Last week, a chocolate shop sold 9 ounces of white chocolate. It sold 9 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
please answer asap
Solving the Question
We're given:
9 ounces of white chocolate sold\(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate soldIf the shop sold " \(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.
Multiply \(9\dfrac{9}{10}\) by 9 ounces:
\(9\dfrac{9}{10}\times9\)
Convert the fraction into an improper fraction:
\(=\dfrac{99}{10}\times9\)
Multiply:
\(=\dfrac{891}{10}\)
AnswerThe shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.
What’s Ln(d)=n in exponential form?
Answer:
ln(d) = n can be rewritten in exponential form as d = e^n.
Step-by-step explanation:
The natural logarithm, denoted by ln, is the logarithm to the base e (approximately 2.718). The inverse of the natural logarithm function is the exponential function e^x. Therefore, when you take the natural logarithm of a number, you can raise e to the power of that number to get the original value.
ln(d) = n is the same as d = e^n
So, Ln(d)=n can be written as d = e^n
This is because e^n is the inverse function of Ln(d) and Ln(d)=n is the logarithm form of d = e^n
Rewrite each expression in an equivalent form with a single exponent.
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
\(\begin{gathered} a) \\ (10^2)\text{ }^{-3\text{ }}=\text{ 10}^{(\text{ 2 x -3 \rparen }}=\text{ 10}^{-6} \\ Hence\text{, \lparen10}^2)^{-3}=\text{ 10}^{-6} \end{gathered}\)\(\begin{gathered} b)\text{ } \\ (\text{ 3}^{-3})^2=\text{ 3}^{(-3\text{ x 2\rparen}}=3^{-6} \\ Hence,\text{ \lparen3}^{-3})^2=\text{ 3}^{-6} \end{gathered}\)\(\begin{gathered} \text{ c\rparen }3^{-5\text{ }}\times\text{ 4}^{-5}=\text{ \lparen3}\times\text{4 \rparen}^{-5}=\text{ \lparen12\rparen}^{-5} \\ Hence,\text{ 3}^{-5}\times\text{ 4}^{-5}=\text{ \lparen12\rparen}^{-5} \end{gathered}\)\(\begin{gathered} d) \\ 2^5\times\text{ 3}^{-5}=\text{ 2}^5\text{ x }\frac{1}{3^5}=\frac{2^5}{3^5}=\text{ \lparen}\frac{2}{3})^5 \\ Hence,\text{ 2}^5\text{ x 3}^{-5}=\text{ \lparen }\frac{2}{3})^5 \end{gathered}\)
please help me solve
The equation for the line of best fit is: C. y = 0.894x + 0.535.
How to determine the equation for the line of best fit?In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;
x y x² y² xy__
5 4 25 16 20
6 6 36 36 36
9 9 81 81 81
10 11 100 121 110
14 12 196 144 168
Sum 438 398 415
Next, we would calculate the mean of the x and y variables as follows;
Mean = [∑(x)]/n
Mean = 44/5
Mean, \(\bar{x}\) = 8.8
Mean = [∑(y)]/n
Mean = 42/5
Mean, \(\bar{y}\) = 8.4
∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)
∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4
∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²
∑(x - \(\bar{x}\))² = 50.8
Now, we can determine the slope coefficient for the line of best fit:
Slope (b) = 45.4/50.8
Slope (b) = 0.894.
Lastly, we would determine the intercept (a) as follows;
\(a = \bar{y} - b\bar{x}\)
a = 8.4 - (0.894)8.8
a = 0.535
Therefore, the required equation is y = 0.894x + 0.535.
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PLEASE HELP! A) 9 B) 8.6 C) 26.3 D) 5.7
Answer:
x = 9.0
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 39 = 7/x
x cos 39 = 7
x = 7/cos 39
x =9.007316961
x = 9.0
Please help me in confused
Answer:
20\(c^{6}\)
Step-by-step explanation:
using the rule of exponents
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)
given
(- 4c³)(- 5c³) ← remove parenthesis
= - 4 × c³ × - 5 × c³
= - 4 × - 5 × c³ × c³
= 20 × \(c^{(3+3)}\)
= 20\(c^{6}\)