The triangle with base 14, sides 12 and 6, will have an area, a = (1/2)(14)(5) = 35 square units. Hence, the 3rd option is the correct choice.
The area of a plane figure is the space occupied within its boundary.
The area of a triangle is given as,
a = (1/2)(b)(h) sq. units, where a is the area of the triangle, b is its base, and h is its height.
In the question, we have been given a triangle with a base of 14, sides 12 and 6, and a height of 5.
We are asked to determine the area of this triangle.
To determine the area of the triangle, we will use the formula:
a = (1/2)(b)(h) sq. units, where a is the area of the triangle, b is its base, and h is its height.
Now, we are given that the base is 14 and the height is 5, thus substituting b = 14, and h = 5, in the above formula, we get:
a = (1/2)(14)(5) sq. units.
or, a = 35 sq. units.
Comparing this with the given options, we can choose the third option.
Thus, the triangle with base 14, sides 12 and 6, will have an area, a = (1/2)(14)(5) = 35 square units. Hence, the 3rd option is the correct choice.
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subtract 6x 2 −7x−2 from 6x^{2}-2x+6
Hello
6x² - 2x + 6 - (6x² - 7x - 2)
= 6x² - 2x + 6 - 6x² + 7x + 2
= 5x + 8
Which of the following are possible equations of a parabola that has no real solutions and opens downward?
Oy=(x-4)2+2
Oy=-(x+4)²-2
Oy=(x-4) 2-2
Oy=-x²-2
Oy=-(x+4)² +2
Answer:
Oy= -(x+4)^2 -2
potentially Oy= -x^2 -2
I need help with things ill give u points
Answer:
012
Step-by-step explanation:
please mark brainliest if correct
Flo sets a goal of walking 12,000 total steps per day. flo's normal routine involves walking 6,000 steps per day. if flo walks 100 steps per minute, how many extra minutes should she walk per day beyond her normal routine?
Flo should walk 60 extra minutes of time per day to accomplish her goal of walking 12,000 total steps per day.
Calculating the Time for Which Flo Walks Each Day
Flo walks 6,000 steps per day.
She walks 100 steps per minute.
⇒ Time taken by Flo to cover 6,000 steps = [tex]\frac{6000}{100}[/tex] minutes
⇒ Time taken by Flo to cover 6,000 steps, m₁ = 60 minutes
Hence, Flo walks for 60 minutes or 1 hour per day.
Calculating the Extra Hours of Walking
Steps to be covered by Flo each day = 12,000
Time required to walk 12,000 steps per day, m₂ = [tex]\frac{12000}{100}[/tex] minutes
⇒ m₂ = 120 minutes
Extra hours of walk per day = (m₂-m₁) minutes
= (120 - 60) minutes
= 60 minutes
Thus, Flow should walk 1 hour extra to be able to accomplish a goal of walking 12,00 steps per day.
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What kinds of ""failures"" occur when you experiment in order to learn under conditions of high uncertainty?.
Intelligent failure occur when you experiment in order to learn under conditions of high uncertainty
It's always possible to move forward from failure stronger and wiser. To do this, we must
a) descry and accept our failures snappily,
b)Dissect what happed and how it happed effectively to maximize what we can learn,
c)Apply our literacy to change our mindsets, behaviours, and the way we do our work, and
d)Continue to take smart pitfalls and introduce, icing we make better miscalculations on our coming bold attempt.
Unfortunately, our instinct tends to be to exit the circle at every step.
That’s why the skill of Intelligent Failure takes practice.
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5. Greg used a sensor to measure the speed of a moving car at different
times. At each time, the sensor measured the speed of the car in both
miles per hour and kilometers per hour. The table below shows her results.
Based on the results, which statement describes the relationship between
the m, speed of the car in miles per hour, and k, the speed of the car in
kilometers per hour?
The relationship is not proportional because the distance of m to k is constant.
The relationship is proportional because the difference of m to k is constant.
The relationship is proportional because the ratio of m to k is constant.
The relationship is not proportional because the ratio of m to k is constant.
This is the table
The correct option regarding whether the table represents a proportional relationship is:
The relationship is proportional because the ratio of m to k is constant.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the ratio of m to km is given as follows:
k = 11/17.699 = 26/41.834 = 34/54.706 = 0.6215.
Since the values are equal, the correct option is:
The relationship is proportional because the ratio of m to k is constant.
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Area =
Help me please thank :)
Answer:
12
Step-by-step explanation:
B x H x 1/2 = area of a triangle
we can break this figure into 4 different triangles and since we have the length of the chords (dotted lines) in the diamond we can easily solve it.
half of QS is 2 and half of PR is 3
2 x 3 = 6
6 / 2 = 3
since there are four triangles multiply 3 by 4 (3 x 4)
and you get 12.
Suppose you have only $20 to spend on gasoline each week. If the price of gasoline is $2 a gallon how many gallons can you purchase
You can purchase 10 gallons of Gasoline.
We have only $20 to spend on gasoline each week. If the price of gasoline is $2 a gallon
Here, we have $20
Cost per gallon $2
Number of gallons: 20/2 =10 gallons
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ΔTUV∼ΔMLV
Two similar obtuse triangles. Triangle TUV and triangle MLV. Horizontal segment TL contains point V. The length of side TV is 28. The length of side UV is 16. The length of side LV is 56. The length of side MV is unknown and is labeled x.
Answer:
98
Step-by-step explanation:
From the statement of similarity, we can write this proportion.
TV/MV = UV/LV
28/x = 16/56
16x = 28 × 56
x = 7 × 14
x = 98
hi, I need help I don't understand
Answer: [tex]60cm^2[/tex]
Step-by-step explanation:
Looking at the figure, you can see that the length is 5cm + 3cm = 8cm and the width is 2cm + 5cm + 2cm = 9cm.
The formula for area is length x width, therefore you do 8x9 which is 72.
Next, we solve for the two "dips" in the rectangle. We can do that by subtracting the area of the "mini-rectangles" from the whole figure:
72-2(2x3) = 60
Thus, 60cm^2 is your answer.
If f(x)=x²-1, and
g(x)=x+2, then
Answer:
f(g(x) = 1x² + 4x + 3
Explanation:
Question: f(g(x))
Given following:
f(x) = x² - 1g(x) = x + 2While solving such function questions, solve from right to left.
⇒ f(x + 2)
⇒ (x + 2)² - 1
⇒ x² + 4x + 4 - 1
⇒ x² + 4x + 3
please please help meee!!!
What trigonometric function should be used when the opposite and adjacent side of
a triangle are known?
a) CSC
b) tan
c) tan^-1
d) sin^-1
e) sin
f) cos^-1
g) COS
h) sec
Using relations in a right triangle, the trigonometric function that should be used is given by:
b) tan.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Hence, if the opposite and adjacent side are know, the tangent function should be used, and option b is correct.
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translate triangle P by the vector (2 -7)
The transformation rule for triangle P by translating using the vector [tex](^{\ 2}_{-7})[/tex] is (x, y) ⇒ (x + 2, y - 7)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
The transformation rule for triangle P by translating using the vector [tex](^{\ 2}_{-7})[/tex] is (x, y) ⇒ (x + 2, y - 7)
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help I can't find the correct equation for this transformation
The correct equation for this transformation is given as (x, y) ⇒ (x - 9, -(y + 2))
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Translation is the movement of a point either up, down, left or right on the coordinate plane.
The graph of √(5x - x²) was translated 9 units left and 2 units up, then reflected over the x axis to get the new graph.
The correct equation for this transformation is given as (x, y) ⇒ (x - 9, -(y + 2))
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What is the length of segment AC?
11
11.4
13
5.7
Answer:
B. 11.4
Step-by-step explanation:
By using the line segment formula
AC = √(9-(-2)^2+(2-5)^2
AC = √130
AC = 11.4
Sally is driving at 30 miles an hour on the Freeway. The next town Sally will reach is 20 miles away. How long will it take Sally to get to the next town
Sally to get to the next town in 2/3 hour.
According to the statement
The distance covered by sally to get next town is 20 miles
Speed at which sally drive is 30 miles per hour
We know that the
TIME = DISTANCE / SPEED
Substitute the values in it and
TIME = 20 / 30
TIME = 2/3 hour
So, Sally to get to the next town in 2/3 hour.
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Raymond spent $125.00 on a limousine for the prom. About how much should he give the driver for a 20% tip? $18.75 $25.00 $20.00 $6.25
Answer:
$25.00
Step-by-step explanation:
20% of $125 = $25
A high school senior applies for admission to college A and to college B. He estimates that the probability of his being admitted to A is .7, that his application will be rejected at B with probability .5, and that the probability of at least one of his applications being rejected is .6. What is the probability that he will be rejected to at least one of the colleges
The probability that he will be rejected to at least one of the colleges is 0.51.
Given probability that he will admit in A is 0.7, probability that he will not be admit in B is 0.5, probability that atleast one of his applications got rejected is 0.6.
We have to find the probability that he will be rejected to at least one of the colleges.
Probability that he will admit in A =0.7
Probability that he will not admit in A=1-0.7=0.3
Probability that he will not admit in B =0.5
Probability that he will admit in B=1-0.5=0.5
Probability that he will be rejected to at least one of the colleges=probability that he will admit in A* probability that he will not admit in B+ probability that he will admit in B* probability that he will not admit in A+ probability that he will not admit in A* probability that he will not admit in B
=0.7*0.5+0.5*0.3+0.5*0.3
=0.35+0.15+0.15
=0.51
Hence the probability that he will be rejected to at least one of the colleges is 0.51.
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0.285714 as a fraction
Answer:
See below
Step-by-step explanation:
285714 / 1000 000 which simplifies to 142,857 / 500,000
anybody can help me?
Graph C depicts the relation between No. of sweaters ( Nombre de chandails vendus ) and the fund raised in the campaign (Campagne de financements )
What is a Graph ?Graph is the statistical representation of data , It helps to observe large data systematically.
It is given that
Sale of one sweater gives $3
The relation between the amount raised for funding , M and the number of shirts sold , n is given by
M = 3n
It has to be found that which graph exactly depicts the relation and the condition as given
Graph C depicts the relation given as , The graph is between No. of sweaters ( Nombre de chandails vendus ) and the fund raised in the campaign (Campagne de financements ) , and for every 100 sweater , $300 is earned .
Therefore Graph C is the answer.
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Find the 17th term of Arithmetic progression(A.D):-6,-1,-4
Answer:
58 is the 17th term of the given arithmetic progression.The 17th term of the given Arithmetic progression -6,-1,-4 will be 74.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
As per the given Arithmetic progression,
-6, -1, -4.
First term a = -6
Common difference d = -1 - (-6) = 5
The nth term of AP is given as a + (n - 1)d.
This 17th term will be as, -6 + (17 - 1)5
⇒ -6 + 16 × 5 = 74
Hence "The 17th term of the given Arithmetic progression -6,-1,-4 will be 74".
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HELP QUICKLY! Find the missing length indicated.
Answer:
2
Step-by-step explanation:
Let the missing length be " x ".
( 3 + 1 ) / 6 = x / 3
4 / 6 = x / 3
Cross multiply,
x * 6 = 4 * 3
6 = 2 * 3
4 = 2 * 2
x * 2 * 3 = 2 * 2 * 3
Divide 2 * 3 on both sides,
x = 2
Question 3(Multiple Choice Worth 3 points)
(07.06)||||||
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
Which of the following inequalities best represents the graph above?
Ox<9
Ox>9
<|OT||||
Ox≤9
Ox≥9
Answer:
Please see attachment.
Step-by-step explanation:
Since there are no answer choices, I will just show you the graphs for each one.
Remember the dashed lines means it is either greater than, or less than.
The solid lines are either greater than or equal to, or less than or equal to.
Hope this helps!
If not, I am sorry.
The solutions of the equation given as |2/3x + 2| − 8 = 0 are x = 9 and x = -15
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
to determine the solutions of the equation:
The equation is given as:
|2/3x + 2| − 8 = 0
Start by adding 8 to both sides of the equation.
So, we have
|2/3x + 2| = 8
Next, we remove the absolute value expression
So, we have;
2/3x + 2 = 8 and 2/3x + 2 = -8
Subtract 2 from both sides of the equation
2/3x = 6 and 2/3x = -10
Multiply the equation by 3/2
x = 9 and x = -15
Hence, the solutions of the equation given as |2/3x + 2| − 8 = 0 are x = 9 and x = -15
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Complete question:
Determine the solutions of the equation:
|2/3x+2−8=0
Ox= -9 and x = 9
Ox= -15 and x = 4
Ox= -15 and x = 9
Ox= -15 and x = 15
Find the y-intercept of the line by substituting 0 in for x and solving for y. y = 4x -12
Answer:
y-intercept = -12
Step-by-step explanation:
The y-intercept is the "y" value when x = 0. You can find the y-intercept by plugging 0 into the equation and simplifying.
y = 4x - 12 <----- Original equation
y = 4(0) - 12 <----- Plug 0 in "x"
y = 0 - 12 <----- Multiply 4 and 0
y = -12 <----- Subtract 12 from 0
PLS HELP ASAP!!! im struggling
The correct options, in order, are:
[tex]f(n) = 3*(2)^{n-1}[/tex]
[tex]f(n) = 2*(6)^{n - 1}[/tex]
[tex]f(n) = 2*(4)^{n - 1}[/tex]
How to match the equations and the tables?The first table is:
n f(n)
1 3
2 6
3 12
Notice that when n = 1, all the exponents are 0, then the initial value is 3.
When n = 2, all the exponents are 1. Then we need to find the exponential equation with a base equal to 2.
So the exponential equation is:
[tex]f(n) = 3*(2)^{n-1}[/tex]
The second table is:
n f(n)
1 2
2 12
3 72
By looking at the first pair, we conclude that the initial value is 2, and by looking at the second pair, we conclude that:
2*b = 12
b = 12/2 = 6
The base is 6.
So the exponential equation now is:
[tex]f(n) = 2*(6)^{n - 1}[/tex]
The last table is:
n f(n)
1 2
2 8
3 32
Here we again have an initial value of 2, and the base is:
2*b = 8
b = 8/2 = 4
Then the correct option now is:
[tex]f(n) = 2*(4)^{n - 1}[/tex]
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fully simplify 7h² + 2h + 5 - h² + h
Answer:
6h² + 3h + 5
Step-by-step explanation:
7h² + 2h + 5 - h² + h
= 7h² - h² + 2h + h + 5
= 6h² + 3h + 5
Which expression is equivalent to
-[tex](-\sqrt{8-2)[/tex] +[tex]\sqrt{36[/tex]
Select one:
a. 2i
b. −10i
c. −4+6i
d. −4−6i
The Theater Club draws a tree on the set background. The plan for the size of the tree is shown below. What is the approximate area they will
have to paint to fill in this tree?
5 ft
3 ft
0.2 ft
The top of the tree is a triangle. Its area is approximately ft².
The second layer of the tree is a trapezoid. Its area is approximately
The trunk of the tree is a rectangle. Its area is approximately
The total area of the tree is approximately
ft².
All rights reserved.
Reset
ft².
ft².
Next
The area of the triangle, trapezoid, rectangle and total area are 7. 5 ft², 10. 5 ft², 0.8 ft² and 18. 8 ft² respectively.
How to determine the area1. Area of a triangle = 1/2 base × height
Area = 1/2 × 5 × 3
Area = 1/2 × 15
Area = 7. 5 ft²
2. Area of trapezoid = [tex]\frac{a + b}{2} h[/tex]
a = 4ft
b = 0. 2ft
h = 5ft
Area = [tex]\frac{4 + 0.2}{2}* 5[/tex]
Area = [tex]\frac{4.2}{2} * 5[/tex]
Area = 2.1 × 5
Area = 10. 5 ft²
3. Area of rectangle = length × width
Area of rectangle = 0. 2 × 4
Area of rectangle = 0. 8 ft²
4. Total area of tree = area of triangle + area of trapezoid + area of rectangle
Total area of tree = 7. 5 + 10. 5 + 0. 8
Total area of tree = 18. 8 ft²
Thus, the area of the triangle, trapezoid, rectangle and total area are 7. 5 ft², 10. 5 ft², 0.8 ft² and 18. 8 ft² respectively.
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Which function is shown in the graph?
O f(x)=1090.2*
O f(x) = log₂x
O f(x) = log₁x
O f(x) = log₁0x
The next Answers are x > 0, and all real numbers
The correct function shown in graph is,
⇒ f (x) = log₁₀ x
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of the function is shown in figure.
Now, Points on the graph are (1, 0) , (5, 1) and (0.2, -1)
Hence, From the option 4;
⇒ f (x) = log₁₀ x
Put x = 1;
⇒ f (x) = log₁₀ 1
⇒ f (x) = 0
Thus, The correct function shown in graph is,
⇒ f (x) = log₁₀ x
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Suppose a large shipment of laptop computers contained 15% defectives. If a sample of size 294 is selected, what is the probability that the sample proportion will be less than 14%
Using the normal distribution, it is found that there is a 0.3156 = 31.56% probability that the sample proportion will be less than 14%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].The proportion and the sample size are given, respectively, by:
p = 0.15, n = 294
Hence the mean and the standard error are given, respectively, by:
[tex]\mu = p = 0.15[/tex][tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.15(0.85)}{294}} = 0.0208[/tex]The probability is the p-value of Z when X = 0.14, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.14 - 0.15}{0.0208}[/tex]
Z = -0.48
Z = -0.48 has a p-value of 0.3156.
0.3156 = 31.56% probability that the sample proportion will be less than 14%.
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