Answer:
A ≈ 6538.35 cm²
Step-by-step explanation:
Calculating the area (A) using Heron's formula
A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where s is the semi perimeter and a, b, c the 3 sides
here
s = 380 ÷ 2 = 190
given perimeter = 380 and unequal side is 150 , then
equal sides = (380 - 150) ÷ 2 = 230 ÷ 2 = 115 cm
then a = 150, b = 115 , c = 115
A = [tex]\sqrt{190(190-150)(190-115)(190-115)}[/tex]
= [tex]\sqrt{190(40)(75)(75)}[/tex]
= [tex]\sqrt{42750000}[/tex]
≈ 6538.35 cm² ( to 2 dec. places )
A car travels at 80km/h. How many km does the car travel in 27 minutes
Jerry has 4 1/2 cup of strawberry he use 3/4 cup of a strawberry to make a breakfast smoothie he wants to use the remaining strawberry to make pancakes if he takes 1 1/4 cup of strawberries to make one pancake how many pancake can he make.
Jerry will able to make 3 pancakes if he has 4 1/2 cup of strawberry from which he make use of 3/4 strawberry to make breakfast smoothie and he need 1 1/4 cup of strawberries to make one pancake.
Total strawberry Jerry has = 4 1/2 cup = 9/2 cups
Strawberry used to make smoothies = 3/4 cup
Remaining strawberries
= 9/2 - 3/4
= (18-3)/4 = 15/4
To make one pancake, Jerry needs = 1 1/4 cup = 5/4 cup
Number of pancakes Jerry can make = 15/4/5/4 = 3 pancakes
Hence, the number of pancakes, Jerry can make is 3
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Identify the vertical asymptotes and horizontal asymptote of each.
Vertical asymptotes is x = -4 and horizontal asymptote is y = 1
What is an Asymptote?
An asymptote is a line that a curve approaches but never touches. A line where the graph of a function converges is known as an asymptote.
There are 3 types of asymptotes.
Horizontal asymptote (HA) - It is a horizontal line and hence its equation is of the form y = k.Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k.Slanting asymptote (Oblique asymptote) - It is a slanting line and hence its equation is of the form y = mx + b.The given expression,
f(x) = (x² - 3x) / (x² + x - 12)
First, find Horizontal asymptote
so,
Horizontal asymptote (y) = (leading coefficient of numerator) / (leading coefficient of denominator)
leading coefficient of numerator = 1
leading coefficient of denominator = 1
y = 1/1
y =1 (Horizontal asymptote)
Now, find Vertical asymptote
so, let's simplify the expression f(x) = (x² - 3x) / (x + x - 12)
f(x) = (x(x - 3) ) / (x² + 4x - 3x - 12)
f(x) = (x(x - 3) ) / (x(x + 4) - 3 (x + 4) )
f(x) = (x(x - 3) ) / ( (x -3) (x + 4) )
f(x) = x / (x + 4)
Now, put the denominator = 0
x + 4 = 0
x = -4 ( Vertical asymptote )
Hence, Vertical asymptotes is x = -4 and horizontal asymptote is y = 1
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I need help please!!
the slope of the given point is m=2/17
find the salary of a person who is paid $3,800.00 per month
Answer:45600
Step-by-step explanation: 3800x12
Gary and Kathy's restaurant bill comes to $35.50. They are planning to tip the waiter 20%. How much money will they pay including the tip?
Answer: $42.60
Step-by-step explanation:
divide $35.50 by 5 and then add the quotient ---> $7.10, to $35.50, which equals $42.60.
A group consisting of 42 aggressive zombies triples in size every hour. Which equation matches the number of zombies after 2 hours?
The equation that matches the number of zombies after 2 hours is z = 42 × 3².
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, a group consisting of 42 aggressive zombies triples in size every hour.
Let the number of zombies be z.
Therefore, the equation that matches the number of zombies after 2 hours will be:
= 42 × 3^n
= 42 × 3²
= 42 × 9
= 378 zombies
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Possible values for the area A of the rectangle shown are 12 ≤ A ≤ 36.
The rectangle sides are 2x+1 and 3
A compound inequality for this situation is 12 ≤
Choose...
≤ 36.
The solution to the compound inequality in Part A is
≤ x ≤
.
The compound inequality is 12 ≤ 6x + 3 ≤ 36. and the solution is 1.5 ≤ x ≤ 5.5
How to determine the compound inequality?The compound inequality is represented as
12 ≤ A ≤ 36.
Such that
A represents the area of the rectangleThe sides of the rectangle are 2x+1 and 3The area of the rectangle is calculated as
A = Product of the sides
So, we have the following representation
A = (2x + 1) * 3
Evaluate
A = 6x + 3
Substitute A = 6x + 3 in 12 ≤ A ≤ 36.
So, we have
12 ≤ 6x + 3 ≤ 36.
The solution to the inequalityIn (a), we have
12 ≤ 6x + 3 ≤ 36
This gives
9 ≤ 6x ≤ 33
Divide by 6
1.5 ≤ x ≤ 5.5
So, the result is 1.5 ≤ x ≤ 5.5
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HELP ASAP!! Josephine was building a community playground. The playground had to be fenced. The perimeter of the fence is 54 feet, and the width of the playground is 12 feet. Use the perimeter formula to find the length of his rectangular yard in inches: P = 2L + 2W. (1 foot = 12 inches)
15 in.
30 in.
42 in.
180 in.
Answer:
It is C
Step-by-step explanation:
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Answer:
A, B, E
Step-by-step explanation:
You want three true statements describing the circle whose equation is ...
x² + y² – 2x – 8 = 0
GraphA graphing calculator can plot this equation for you. The result is attached.
We see that ...
The radius of the circle is 3 units.The center of the circle lies on the x-axis.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.__
Additional comment
The standard form equation of a circle is ...
(x -h)² +(y -k)² = r² . . . . . center (h, k), radius r
Rearranging the given equation to this form, we have ...
(x -1)² +y² = 8 +1 = 9 . . . . . . . . r²=9 ⇒ r=3
This means the center is (1, 0), and the radius is 3. The point (1, 0) is on the x-axis.
The circle with equation x² + y² = 9 is centered at the origin and has radius 3.
help please and thankyou 3
The trigonometric function use to solve the angle x in the right triangles are as follows:
sin x = 6 / 10cos x = 5 / 10tan x = 4 / 6How to find the angles of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The side and angles of a right angle triangle can be found using trigonometric ratios.
Therefore, the trigonometric function that can be use to find the angle x in the triangles are as follows:
Triangle PNM
sin x = opposite / hypotenuse
sin x = 6 / 10
sin x = 3 / 5
Triangle ABC
cos x = adjacent / hypotenuse
cos x = 5 / 10
cos x = 1 / 2
Triangle DEF
tan x = opposite / adjacent
tan x = 4 / 6
tan x = 2 / 3
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if f(x)=-3x+9, find the value of 3f (2)-2f(0)
im gonna cry some1 pls help me
10 is the geometric mean between 23 and what other value? Round your answer to the tenths' place.
10 is the geometric mean between 23 and 4.35.
What is geometric mean?The geometric mean is a type of average, generally used for growth rates. Let c is the geometric mean of a and b, then c=[tex]\sqrt{ab}[/tex].
Given that,
The geometric mean of 23 and other value is 10.
Let the other value is x.
Use the geometric mean property,
G.M.=[tex]\sqrt{ab}[/tex] (1)
Substitute the given values in equation (1)
10=[tex]\sqrt{23x}[/tex]
⇒x=100/23
⇒x=4.347
The geometric mean of 23 and 4.35 is 10.
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An arts and crafts store sells sheets of stickers. Use the table to write an equation you can use to find the total cost y in dollars for x sheets of stickers.
The equation that can be use to find the total cost y in dollars for x sheets of sticker is y = 2.55x.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, it should be noted that a proportional relationship exist between the figures that are given.
Therefore, the constant will be:
= Cost / Number of sheet
= 12.75 / 5
= 2.55
Therefore, the equation is y = 2.55x
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wallpaper is sold on rolls that are 27 inches wide. Tazio needs to cover a wall that is 80 square feet. To figure out how many feet of wallpaper to buy, she will divide 80 by the width of the wallpaper roll in feet. how wide is the roll in feet?
please help asap tysm<3
The length of the wallpaper of 27 inches wide required is 35.56 feet
How to determine the length of the wallpaper requiredThe problem requires conversion of the dimensions to have similar unit
To convert 80 square feet to square inches. we multiply by 144
80 * 144 = 11520 square inches
area = length * wide
11520 = length * 27
length = 11520 / 27
length = 426.667 feet
to get the length in inches we divide the unit in feet by 12
length = 426.667 inches / 12
length = 35.56 feet
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Sarah used 2. 5 cups of cheese in a dish that serves 10 people. Amyn used 1. 6 cups of cheese in a dish that serves 8 people. How much more cheese is in one serving of sarah’s dish?.
Answer: In one serving of Sarah's dish 0.05 more cheese than in one serving of Amyn's dish.
Given: Sarah used cups of cheese in a dish that serves people and Amyn used cups of cheese in a dish that serves people.
Now, the amount of cheese served by Sarah for a people is.
And the amount of cheese served by Amyn for a people is
Therefore, the difference between the amount of cheese served by Sarah and Amyn is calculated as
Cheese served by Sarah's in one serving cheese served by Amyn's in one serving
Hence, 0.05 more cheese is in one serving of Sarah's dish.
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Step-by-step explanation:
Write each as an algebraic expression.
10) the product of 10 and a number n
12) the difference of 19 and a number n
14) The product of 7 and the sum of × and 2
15) The difference of 11 and the quotient of x and 3
11) the sum of a number n and 5
13) a number n squared
Answer:
10) 10n
12) 19-n
14) 7(x+2)
15) x/3 -11
11) n+5
13) n^2
Step-by-step explanation:
product = multiply
difference= subtract
sum = add
quotient = divide
Answer:
lo siento soy nuevo en este aplicación ay mis sierras disculpas
Please help me ASAP!!! Answer both questions for example: 1= C and 2= A
Answer:
x+4x=25
A: 0<x<=25 0<y<=75
Step-by-step explanation:
Please help me out don’t answer if you don’t know I would really appreciate it ;)
What is the simplified version of each expression? Assume all variables are positive
Answer:
A) 3
B) 2[tex]\sqrt{6}[/tex]
C) 3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
A
3x3 = 9
B
24 = 2x2x2x3 We can pull out a pair of 2 and are left with 6
C
18 = 2x3x3 We can pull out a pair of 3 and are left with 2
Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs ...
a) The hypothesis are given as follows:
Null: [tex]H_0: \mu_d \leq 0[/tex]Alternative: [tex]H_1: \mu_d > 0[/tex]b) The significance level is of α = 0.1.
c) The test statistic is of: t = 4.86.
d) The p-value is of: 0.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence that the mean level is greater at the bottom of the surface, that is, if the mean is not positive, hence:
[tex]H_0: \mu_d \leq 0[/tex]
At the alternative hypothesis, it is tested if there is enough evidence that the mean level is greater at the bottom of the surface, that is, if the mean is positive, hence:
[tex]H_1: \mu_d > 0[/tex]
As stated in the problem, the significance level is of:
α = 0.1.
How to calculate the test statistic?
The test statistic is calculated by the formula presented as follows:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The variables of this formula are listed as follows:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null and at the alternative hypothesis.s is the standard deviation of the sample.n is the sample size.From the table, the sample is composed by the differences and given as follows:
0.015, 0.028, 0.177, 0.121, 0.102, 0.107, 0.019, 0.066, 0.058, 0.121.
The above sample is inserted into a calculator, to obtain the parameter values given as follows:
[tex]\overline{x} = 0.0814, \mu = 0, s = 0.053, n = 10[/tex]
Hence the numeric value of the test statistic is given as follows:
t = (0.0814 - 0)/(0.053/sqrt(10))
t = 4.86.
What is the p-value?Using a t-distribution calculator, considering a right-tailed test, as we are testing if the mean is greater than a value, with 10 - 1 = 9 df and t = 4.86, the p-value is of 0.
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Select all triangles congruent to triangle 4.
Answer:
1, 2, 4, 5
Step-by-step explanation:
You want triangles congruent to triangle 4.
CongruenceIn this exercise, we can determine congruence using SSS congruence: the lengths of the sides in congruent triangles will match. (The order of appearance of the side lengths as you go around the triangle is irrelevant.)
Triangle 4The lengths of the sides are ...
diagonal of 4×2 rectangle5 grid squaresdiagonal of 4×3 rectangleLooking at the other triangles, we see side lengths of ...
Triangle 1All side lengths match: congruent to 4.
Triangle 2All side lengths match: congruent to 4.
Triangle 3One side is 6 grid squares: not congruent.
Triangle 5All side lengths match: congruent to 4.
Triangle 6One side is 6 grid squares: not congruent.
Triangle 7One side is the diagonal of a 3×2 rectangle: not congruent.
Triangle 8One side is the diagonal of a 4×1 rectangle: not congruent.
__
Additional comment
Triangles 3 and 6 are congruent to each other, but not to triangle 4.
Given RWS~TUV find the values of x and y
For the given measurement of the congruent triangles RWS and TUV, the value of x = 4° and y = 10 units.
As given in the question,
For the given congruent triangles,
ΔRWS ≅ ΔTUV
⇒ RWS ↔ TUV
⇒RW ≅TU , RS ≅TV , WS ≅ UV
And ∠W ≅ ∠U , ∠R ≅ ∠T , ∠S ≅ ∠V
Given measurements are :
m ∠W = 90°
m ∠R = ( 8x + 26)°
m ∠V = 32°
∠S ≅ ∠V
⇒ m ∠S = 32°
m ( ∠R + ∠W + ∠S ) = 180°
⇒ 8x° + 26° + 90° + 32° = 180°
⇒8x° = 180° -148°
⇒ x° = 32°/8
⇒ x= 4°
RS ≅TV
⇒30 = 2y + 10
⇒2y = 20
⇒y= 10 units
Therefore, for the given measurement of the congruent triangles RWS and TUV, the value of x = 4° and y = 10 units.
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−2 1/4×(−1 1/3)[tex]−2 1/4×(−1 1/3)[/tex]
The value after multiplying the given mixed fractions is 7/6 .
In the question ,
it is given that ,
the two mixed fraction are given as [tex]-2\frac{1}{4}[/tex] and [tex]-1\frac{1}{3}[/tex] ,
we need to find their value after multiplication .
we first convert the mixed fractions into improper fraction ,
So ,
[tex]-2\frac{1}{4}[/tex] = (-2×4+1)/4 = (-8+1)/4 = -7/4
and
[tex]-1\frac{1}{3}[/tex] = (-1×3+1)/3 = (-3+1)/3 = -2/3
So , the product of -7/4 and -2/3 is written as
= -7/4 × -2/3
= (-7 × -2)/(4 × 3)
= 14/12
after simplifying ,
= 7/6
Therefore , The value after multiplying the given mixed fractions is 7/6 .
The given question is incomplete , the complete question is
Find the value after multiplying the given mixed fraction [tex]-2\frac{1}{4} \times -1\frac{1}{3}[/tex] .
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What is the slope of the line
Answer:
The answer to this question is undefined or c
Step-by-step explanation:
A horizontal line has a slope of 0 because it does not go vertically and a vertical line has a slope of undefined because it does not go horizontally
An Olympic sized swimming pool consists of 660,000 gallons of water. It is currently be drained at a rate of 2,000 gallons a second. Write an equation in slope-intercept form to model this relationship.
The equation in slope intercept form to model the relationship is:
y = 660,000x+2000
Given,
An Olympic sized swimming pool consists of 660,000 gallons of water.
It is currently be drained at a rate of 2,000 gallons a second.
we are asked to determine the equation in slope intercept form = ?
we know the slope intercept form is:
y = mx+c
based on the given conditions, we formulate:
y = 660,000x + 2000
Hence we get the required answer.
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(ITS DUE TODAY)Find the slope of the line that passes through Point A (3,-7) and Point B (0,-3), using the formula m= y2-y1/x2-x1.
Which expression is equal to 14y−17+512y+6 , expressed in simplest form?
Answer:
526y-11
Step-by-step explanation:
14y-17+512y+6=526y-11
Answer:
Option (C)
Step-by-step explanation:
To simplify an expression, we can combine like terms. For this expression, there are two pairs of like terms, one-fourth y and five-twelfths y, and the constants negative seventeen and six.
To combine the fractions, we can find the least common denominator, twelve, so we can rewrite the fraction as three-twelfths.
Now combine the like terms to get eight-twelfths y minus eleven, which simplifies to two-thirds y minus eleven.
Jada has 12 library books checked out and Han has 13less than that. How many books does Han have checked out?
Answer:
-1
Step-by-step explanation:
Jada = 12 books
Han = 13 less books than Jada
12-13= -1
Han would have negative 1 books but in this situation it would not be possible.
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 4. If there were 8085 total votes, how many no
votes were there?
There are 2940 no votes.
From the question, we have
there were 8085 total votes
ratio= 7 :4
No votes = 4/11*8085
=2940
Divide:
Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
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The vertices of a figure are J(-4,1), K(-2,1), and L(-4,-3). Rotate the figure 90° clockwise about the origin. Find
the coordinates of the image.
ill add a graph if needed !! :)
The coordinates of figure and the coordinates of the image after rotation is as below
preimage image
J(-4,1) J' (1, 4)
K(-2,1) K' (1, 2)
L(-4,-3) L' (-3, 4)
What is rotation ?Rotation is one the movements involve in transformation
In rotation, the objects moves about an axis in a circular direction
The transformation rule for 90 degrees clockwise rotation is
(x, y) → (y -x)
applying the rule gives the new coordinates of the image as
Image
J' (1, 4)
K' (1, 2)
L' (-3, 4)
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