Answer:
6.75
Step-by-step explanation:
So basicly we know the area of the rectangle which really helpful.
So lets take the formula of the are for the triangle, which is b*h*1/2
So we know that the height and bass of the triangle is the same as the rectangle's legnth and width.
Meaning that we can replace b*h with 13.5.
So plug that into the quation.
13.5*1/h= Area of ACE
6.75= Area of ACE
hence, 6.75 is your answer
The area of the triangle ACE is; 6.75 square units.
According to the question; a triangle is inscribed in a rectangle with each vertex of the triangle lieing on a side of or at a vertex of the rectangle.
From the statement above, it is evident that the triangle in question covers half the area occupied by the rectangle.In essence, to find the number of square units in the area of shaded triangle ACE,
We have to divide the area of the rectangle by 2.
Therefore, the area of the triangle ACE is;
6.75 square units.
Read more:
https://brainly.com/question/17390758
The product of 15 and a number x is −75.
Answer:
the solution is in the figure
the number is -5
A mixture is made with 45 ounces of a 10% saline solution and $x$ ounces of a 70% saline solution. The resulting mixture is a 25% saline solution. What is the value of $x$
Answer:
x = 15 ounces
Step-by-step explanation:
A mixture is made with two types of solutions.
Solution A - 45 ounces of 10% saline solution
Solution B - x ounces of 70% saline solution
Resulting mixture - (x + 45) ounces of 25% saline solution
To get the value of x, equation will be,
(45 × 0.10) + (x × 0.70) = (x + 45) × 0.25
4.5 + 0.70x = 0.25x + 11.25
0.25x - 0.70x = 4.5 - 11.25
-0.45x = -6.75
x = [tex]\frac{6.75}{0.45}[/tex]
x = 15 ounces
Q2) Tyler deposited $300 into his bank account. He then wrote a check for
$150. How much money is in his account now?
Answer:
150
Step-by-step explanation:
300-150
Let x denote the average number of hours per week that a student at Happy High School spends doing homework. Suppose the frequency distribution of x is normal (i.E., symmetrical and bell-shaped) with a mean of 3.4 hrs. And a standard deviation of 2.6 hrs. What percentage of the students at Happy High spend an average of less than 6 hours per week doing homework?
Answer:
0.84134
Step-by-step explanation:
Given that:
Mean = 3.4 hours
Standard deviation (s) = 2.6 hours
Percentage of students that spend less than 6 hours doing homework
P(x < 6)
Using the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (6 - 3.4) / 2.6
Z = 2.6 / 2.6
Z = 1
p(Z < 1) = 0.84134 ( Z probability calculator)
The percentage of the students at Happy High spends an average of less than 6 hours per week doing homework is 0.84134
$50.25 with buy one get one 50% off (SHOW WORK)
Answer:
i dont know if this is to answer buying 2
$75.74 for 2
Step-by-step explanation:
50.25*1.5=75.735
Answer:
25%
Step-by-step explanation:
because whats 50%-50%=0% so there's 25% left.
How do you solve (X-2)^1/4=5
Answer:
x=22
Step-by-step explanation:
(x-2)^1 =5 Anything to the 1st power is 1 Multiply both sides by 4
x-2=20 Move the constant (20) to the right and change its
x=20+2 sign
x=22
Mark has 380 coins Casey has 2x more than Albert Lilly has 5 coins more than Casey Logan has 3x more than Casey and Albert How many coins does Logan have
Answer:
141 coins
Step-by-step explanation:
Given that Mark has a total of 380 coins(assumed to be shared amongst Albert,Casey, Lily and Logan)
Albert= x
Casey= 2x
Lily= 2x+5
Logan=3x
There's a total of 380 coins
x+2x+2x+5+3x= 380
8x+5=380
8x=380-5
x=375/8
x= 46.9
Therefore Logan's coins = 3x= 3×46.9= 140.61 coins
Approximately Logan's coins =141 coins
NOW! Which division problem does the diagram below best illustrate?
0000
OC
30-5-6
35-7-5
021-7-3
40-5-8
Joshua had two-sevenths of all the goals scored by is soccer team. His team scored 28 goals this past season. How many goals did the rest of the team score? 1 point
Answer:
Rest of the team= 20 goals
Step-by-step explanation:
Giving the following information:
Joshua= (2/7)
His team scored 28 goals this past season.
First, we determine hoy many goals Joshua score:
Joshua= (2/7)*28
Joshua= 8 goals
Now, the rest of the team:
Rest of the team= 28 - 8
Rest of the team= 20 goals
Alexis bought 2 bags of apples for the fruit salad for her party. Each bag contained 13 apples. If she cuts each apple into 8 pieces, how many apple pieces would she have?
Answer:
13*8=104
104*2=
208
Step-by-step explanation:
sorry for asking all these questions, this is just really confusing
Answer:
-31
Step-by-step explanation:
hope this helped! <3
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −9
0 −1
1 7
g(x)
g(x) = 3x − 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
HELP ME PLSSSSS I WILL GIVE YOU 100 POINTS!!!!!!!
Step-by-step explanation:
First we find the slope of f(x):
When x increases by 1, f(x) increases by 8. Slope of f(x) = 8/1 = 8.
Slope of g(x) = Coefficient of x = 3.
Therefore the slope of f(x) is greater than the slope of g(x).
When x = 0, f(x) = -1 (given ii the table) Therefore the y-intercept of f(x) is -1.
Y-intercept of g(x) = Constant term = -2.
Since -1 > -2, f(x) have a greater y-intercept.
An angle measures 7.4° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
41.3° and 48.7°
Step-by-step explanation:
Complementary angles are angles with the sum of 90°
if one of the angle is 7.4° less than other
(90 - 7.4) ÷ 2 = 41.3° is the measure of smaller angle and
41.3 + 7.4 = 48.7° is the measure of bigger angle
What is the slope of the line on the graph
Answer:
Step-by-step explanation:
-2/6=-1/3
-1/3 is the slope.
formula is rise/run
Is (T60.-6> 0 Ry_)(AABC)graphed correctly?
5
4
2
1
O A. yes
O B. no
Katelyn ate ⅓ of an apple pie, and Chad ate ⅜ of the same pie. What fraction of the pie was eaten?
Answer:
17/24
Step-by-step explanation:
1. This is an addition problem. Remember, when adding fractions, you first need to find a common denominator.
What is a number that both 3 and 8 go into? (If you don't know, then you can just multiply the numbers and use that as the denominator)3 x 8 = 24The new denominator is 24.2. To find the numerator, multiply the current numerators by the number of times the original denominators divide into 24.
For example, 3 divides into 24 a total of 8 times. So, multiply 1 by 8 to turn 1/3 into 8/24.Do the same for 3/8, except multiply it by 3 because 8 goes into 24 three times. This makes the fraction equal 9/24.3. Now that the denominators are the same, add the numerators and keep the denominator for now.
8/24 + 9/24 = 17/244. Usually, you would have to reduce the fraction, but since 17/24 is already reduced to its simplest form, 17/24 is your answer.
In a class of 29 students, 20 play an instrument and 18 play a sport.
There are 11 students who play an instrument and also play a sport.
What is the probability that a student chosen randomly from the class
plays a sport and an instrument?
Can someone please help me
Answer:11/29
Step-by-step explanation:
The numerator is alredy given as 11 students play both an instrument and a sport. Denominator is how many students in the class which is 29.
4x+4y=4
3x+4y=10
Solve for elimination
Answer:
The solution is x=-6 and y=7
Step-by-step explanation:
Given equations are:
[tex]4x+4y =4\\3x+4y = 10[/tex]
In elimination method, the co-efficient of one of the variables are equated so that one variable can be eliminated by adding or subtracting the equations
In the given system of equations, the co-efficient of y is already same i.e. 4 so we only have to subtract the equations
Subtracting equation 2 from equation 1
[tex]4x+4y-(3x+4y) = 4-10\\4x+4y-3x-4y = -6\\4x-3x = -6\\x = -6[/tex]
Putting x = -6 in equation 1
[tex]4(-6)+4y = 4\\-24+4y = 4\\4y = 4+24\\4y = 28\\\frac{4y}{4} = \frac{28}{4}\\y = 7[/tex]
Hence
The solution is x=-6 and y=7
4. As shown in Figure 5.111 to the right if the
two small semicircles, each of radius 1 unit
with centres O' and O'' are contained in the
bigger semi-circle with center O, So that
O', O and O" are on the same line, then
what is the area of the shaded part?
Answer:
Area of the shaded part is 3.14 square unit.
Step-by-step explanation:
Area of the shaded part = Area of large semicircle - (Area of two small semi circles)
Area of large semicircle with center O = [tex]\frac{1}{2}(\pi r^2)[/tex]
= [tex]\frac{1}{2}\pi (2)^{2}[/tex]
= 2π
Area of semicircle with center O' = [tex]\frac{1}{2}\pi (1)^2[/tex]
= [tex]\frac{\pi }{2}[/tex]
Area of semicircle with center O" = [tex]\frac{\pi }{2}[/tex]
Now substitute these values in the formula,
Area of shaded part = [tex]2\pi - (\frac{\pi }{2}+\frac{\pi }{2})[/tex]
= [tex]\pi[/tex]
= 3.14 square unit
Area of the shaded part is 3.14 square unit.
I was wondering if anyone had the answer key to the Gina Wilson, Unit 7: Polygon and Quadrilaterals Unit Test, it is one of our assignments instead of some big final.
Answer:
um sorry i wish i could help but mabye post a specfic
question Step-by-step explanation:
ASAP!!! Will give brainliest!!! Solve for X
Answer:
h=√p^2+b^2
13 = √x^2+(x+7)^2 now you can solve
Answer:
x = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + (x + 7)² = 13² ← expand and simplify left side
x² + x² + 14x + 49 = 169 ( subtract 169 from both sides )
2x² + 14x - 120 = 0 ( divide through by 2 )
x² + 7x - 60 = 0 ← in standard form
(x + 12)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 12 = 0 ⇒ x = - 12
x - 5 = 0 ⇒ x = 5
But x > 0 , thus x = 5
Sam typed 420 words in 10 minutes. If he continues to type at this rate, how many words will he have typed in 3 hours? Group of answer choices
Answer:
7,560 words were typed in 3 hours.
please help me with this
Answer:
The equation in the point-slope form for the line that passes through point (-1, -4) and has a slope of -3 is y+4=-3(x+1).
Step-by-step explanation:
Given that:
Line passes through the point = (-1, -4)
Slope of the line = -3
Point slope form of a line is given by;
[tex]y-y_1=m(x-x_1)[/tex]
Here,
x1 = -1 , y1 = -4 and m = -3
Putting the values in the point-slope form of the equation,
y-(-4) = -3(x-(-1))
y+4= -3(x+1)
Hence,
The equation in the point-slope form for the line that passes through point (-1, -4) and has a slope of -3 is y+4=-3(x+1).
If x and (x+50°) are complementary angles. find the angles
Step-by-step explanation:
When the sum of two angles is equal to 90 degrees, they are called complementary angles.
So
x + x + 50° = 90°
2x = 90° - 50°
2x = 40°
x = 40°/2
x = 20°
x + 50 = 20 + 50 = 70°
Hope it helps :)
Answer:
let 1st angle be x
and another angle be x+50°
two angles are said to be complementary,if the some of their measures is 90°
so,
x+x+50=90
2x+50 =90
2x=90-50
x=40/2
:-x= 20 ....... 1st angle
another angle (x+50)=20+50=70°
the exchange rate in london is £1 = 1.14 euros
the exchange rate in paris is 1 euro = £0.86
haley wants to change some pounds into euros
in which of those cities would haley get the most euros?
thanks for your time, it is much appreciated <33
Answer:
London
Step-by-step explanation:
Euro= 1.14 x 5
5.70
Three friends share the total cost of a game. Joe pays 30%, Mike pays , and Tony pays the rest.
Which of the following is true?
Tony paid the most.
Mike paid the most.
They all paid the same.
Joe paid the most.
Answer:
tony paid most (im pretty sure tony but if not tony its mike who paid most)
Step-by-step explanation:
Answer: B. Mike paid the most.
Hope this helps!
Asia can rake her yard's leaves in 2 hours. It takes Isaac 6 hours to rake the yard's
leaves by himself. How long would it take if Asia and isoac work together?
Is will be 1 hour and 30 minutes
Answer:
I think i would be 2hours and 30 mins. Srry if it's wrong
Step-by-step explanation:
Jose bought 1.5 pound of apples for $3.60. how much would 3/4 of a pound apples cost?
Enter your answer in the box
Write the equation of the line that connects the set of data points!helppp
Given:
The set of data points on the graph.
To find:
The equation of line that connects the set of data points.
Solution:
From the given graph it is clear that the data points are (20,40), (35,50), (50,60), (65,70).
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Let as consider the line passes through (20,40) and (50,60), then the equation of line is
[tex]y-40=\dfrac{60-40}{50-20}(x-20)[/tex]
[tex]y-40=\dfrac{20}{30}(x-20)[/tex]
[tex]y-40=\dfrac{2}{3}(x-20)[/tex]
Multiply both sides by 3.
[tex]3(y-40)=2(x-20)[/tex]
[tex]3y-120=2x-40[/tex]
Isolate variable terms.
[tex]-2x+3y=120-40[/tex]
[tex]-2x+3y=80[/tex]
Therefore, the standard form of the required line is [tex]-2x+3y=80[/tex].
The blue shape is a dilation of the black shape. What is the scale factor of the dilation?
Answer:
Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs.
Step-by-step explanation: