Answer:
38 cm squaredStep-by-step explanation:
Given figure : Trapezoid
Base sides,
a = 11 cm
b = 11 - 3 = 8 cm
height ( h ) = 4 cm
Now, finding the area:
[tex] \frac{1}{2} (a + b) \: h[/tex]
plug the values
[tex] \frac{1}{2} \times (11 + 8) \times 4[/tex]
Calculate the sum
[tex] \frac{1}{2} \times 19 \times 4[/tex]
Reduce the numbers with G.C.F 2
[tex]19 \times 2[/tex]
Calculate the product
[tex]38 \: {cm}^{2} [/tex]
Hope this helps...
Best regards!
A survey devices eyepiece is 6 feet off the ground. The device is placed 60 feet from a tree, the eyepiece must be elevated upwards at a 33 angle to see the top of the tree. How tall is the tree?
Greetings from Brasil...
Pure application of trigonometry - tangent
see the attachment
H = X + 6
and
TG 33 = X/60
X = 60.TG 33
X ≈ 39
H = X + 6
H = 39 + 6
H = 45Andrew is about to leave for school. If he walks at a speed of 50 meters per minute, he will arrive 3 minutes after the bell rings. If he runs at a speed of 80 meters per minute, he will arrive 3 minutes before the bell rings. In how many minutes will the bell ring?
Answer:
The answer is: 13 minutes
Step-by-step explanation:
First Let us form equations with the statements in the two scenario
[tex]time=\frac{distance}{speed}[/tex]
Let the time in which the bell rings be 'x'
1. If Andrew walks (50 meters/minute), he arrives 3 minutes after the bell rings. Therefore the time of arrival at this speed = (3 + x) minutes
[tex]3 + x =\frac{distance}{50}\\distance = 50(3+x) - - - - - (1)[/tex]
2. If Andrew runs (80 meters/minute), he arrives 3 minutes before the bell rings. Therefore the time taken to travel the distance = (x - 3) minutes
[tex]x - 3 = \frac{distance}{80} \\distance = 80(x-3) - - - - - (2)[/tex]
In both cases, the same distance is travelled, therefore, equation (1) = equation (2)
[tex]50(3+x)=80(x-3)[/tex]
[tex]150 +50x=80x-240\\[/tex]
Next, collecting like terms:
[tex]150 + 240 = 80x - 50x\\390 = 30x\\30x = 390\\[/tex]
dividing both sides by 3:
x = 390÷30 = 13
∴ x = 13 minutes
please help!!!!!!!!!!!
Answer:
The x value of the point 1/4 the distance from point C to point D is -0.25
Step-by-step explanation:
The given information are;
The location of point C = (1, 2)
The location of point D = (-4, -2)
The point 1/4 from point C to point D is the point 3/4 from point D to point C
Which gives;
The coordinate at point D + 3/4× The difference between the coordinates of point C and point D
Which is (-4 + 3/4×(1 - (-4), - 2 + 3/4×(2 - (-2))
Which gives;
(-4 + 3.75, -2 + 3) and (-0.25, 1)
The coordinates of the point 1/4 the distance from point C to point D is (-0.25, 1)
Therefore, the x value of the point 1/4 the distance from point C to point D = -0.25.
simplify 4551 * 5541
Answer:
25,217,091
Step-by-step explanation:
4551 * 5541 = 25,217,091
Answer:
4551*5541=25217091
Step-by-step explanation:
What is the image of N for a 300° counterclockwise rotation about the center of the regular hexagon? Will give brainiest only if answered correctly with explanation
Answer:
H
Step-by-step explanation:
here, the question says that the given regular hexagon needs to be rotated counter clockwise 300°, considering the edges labels, each movement from one edge to other is 60° as 360/6 =60.
focus on N and move on anti clockwise.
When N rotates anti clockwise about center from original to position G, is 60°,
when N moves on anti clockwise about center from original to position A is 120°.
similarly, to X is 180°, to E is 240° and to H is 300°.
so, the new position of N when rotated anti clockwise about origin of the hexagon will be at H.
Tonia and trinny are twins. Their friends give them identical cakes for their birthday. Tonia eats 1/8 of her cake and trinny eats 1/6 of her cake. How much cake is left? please show working thank youu
Answer:
[tex]\frac{7}{12}[/tex] of the cake
Step-by-step explanation:
add [tex]\frac{1}{8}[/tex] and [tex]\frac{1}{6}[/tex] to see the total amount of cake eaten.
a. find the common denominator: 8 x 3 = 24 and 6 x 4 = 24
b. multiply accordingly to get the correct numerator: [tex]\frac{3}{24}[/tex] + [tex]\frac{4}{24}[/tex]
c. add: [tex]\frac{3}{24}[/tex] + [tex]\frac{4}{24}[/tex] = [tex]\frac{7}{24}[/tex]
subtract found value from total to find left over cake.
a. 24 - 7 = 14
simplify.
a. [tex]\frac{14}{24}[/tex] = [tex]\frac{7}{12}[/tex]
You are left with [tex]\frac{7}{12}[/tex] of the cake.
Which of the following is not a rigid motion transformation?
Answer:
D. Stretch
Step-by-step explanation:
All the others keep the same dimensions
The one which is not a rigid motion transformation is D. Stretch.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
Rigid motion transformation is the transformation which is formed when a point or a shape is transformed such that the size or the shape of the original object does not change.
In rotation, translation and reflection, there is no change in the size or the shape.
But in dilation, the size becomes smaller or larger based on it is enlargement or stretch.
So stretch is not a rigid motion transformation.
Hence option D is the correct answer.
Learn more about Rigid Motion Transformation here :
https://brainly.com/question/1408127
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How many solutions does the equation 3x + 6 =- 1 - 3 + 4x have?
TWO
Zero
One
Infinitely many
Answer:
one solution
Step-by-step explanation:
3x + 6 =- 1 - 3 + 4x
Subtract 3x from each side
3x-3x + 6 =- 1 - 3 + 4x -3x
6 = -4+x
Add 4 to each side
6+4 = -4+4+x
10 =x
One solution
Answer:
The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.
Step-by-step explanation:
The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.
A scale drawing of Jimmy's living room is shown below:
If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?
Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet
Answer:
The answer is
Step-by-step explanation:
If 2cm is 8 feet on the drawing then since 4 is the double of 8,
16 would be the width
8·2=16
For the length, 4 is two less than 6 so, to find the width,
Add 16+2=18
Therefore,
The answer is C.
Length=18 Width=16
Answer:
Length = 24 ft, width = 16 ft
Step-by-step explanation:
The scale is 2 cm (drawing) = 8 ft (real).
The drawing length is 6 cm.
6 cm is 3 times 2 cm
Multiply both sides of the scale by 3.
3 * 2 cm = 3 * 8 ft
6 cm = 24 ft
The real length is 24 ft.
The drawing width is 4 cm.
4 cm is 2 times 2 cm
Multiply both sides of the scale by 2.
2 * 2 cm = 2 * 8 ft
4 cm = 16 ft
The real width is 16 ft.
Answer:
Length = 24 ft, width = 16 ft
Which pairs of events describe independent events?
Answer:last one is the correct ans...
Step-by-step explanation:
Pleased to help u....
The number of a two dollar bill i need to pay for a purchase is 9 more than the number of 5 dollar bills i need to pay for the same purchase what is the cost of the purchase?
Answer:
$60
Step-by-step explanation:
Let's say we need t $2 bills and v $5 bills.
We need 9 more $2 bills than $5 bills, so:
t = 9 + v
We also know that the amount of money in t $2 bills is 2 * t = 2t. The amount of money in v + 9 $5 bills is 5 * (v + 9) = 5v + 45. These amounts are equal:
5v + 45 = 2t
Plug v + 9 in for t in 5v = 2t + 18:
5v = 2t + 18
5v = 2 * (9 + v) + 18
5v = 18 + 2v + 18
3v = 36
v = 12
We have 12 $5 bills, so that total cost is 12 * 5 = $60.
~ an aesthetics lover
If (Fx) = Square root 4x+9+ 2, which inequality can be used to find the domain of f(x)?
A.Square root 4x is greater than or equal to zero
B.4x +9 is greater than or equal to 0
C. 4x is greater than or equal to 0
D.Square root 4x+9 +2 is greater than or equal to 0
Answer:
Third one 4x+9
Step-by-step explanation:
We khow that any any real number inside the root should be positive
Our root is [tex]\sqrt{4x+9}[/tex]4x+9 shoul be positive wich can be expressed mathematically by:
4x+9≥0
(PLEASE HELP) Match each hypotenuse length with the leg lengths that will create a right triangle.
Answer:
Step-by-step explanation:
(√2)^2 + (√5)^2 =
2 + 5 = 7
But that equals the hypotenuse squared. The actual value will be √7
======================
(√3)^2 + 4^2 =
3 + 16
19 But this equals the hypotenuse squared, so the answer is actually (√19 ) which isn't there. It might be a right triangle, but none of the answers match this one.
===========================
2^2 + (√5)^2 = 4 + 5 = 9
This is the square of the hypotenuse. √9 = 3 which is the last one.
===========================
(2)^2 + (2)^2 = 4 + 4 = 8
But the hypotenuse will be √8
==========================
1^2 + 2^2 = 1 + 4 = 5
The hypotenuse is √5
Answer:
√8 ==> 2 units, 2 units
√7 ==> √5 units, √2 units
√5 ==> 1 unit, 2 units
3 ==> >2 units, √5 units
Step-by-step explanation:
Find the length of an earthworm 4 hours after its birth
Answer:
Maximum is 14 inches so maybe 5 inches?
Step-by-step explanation:
Find an equation of the line through the point (3,2) with a slope of −2.
Solve the inequality. 12x – 3x + 11 > 4x – (17 – 9x)
Answer:
20>4
Step-by-step explanation:
12-3 forget about the x 12-3=9 . 9+11=20
(17-9)=8 . 8-4 =4
so your answer is correct
Answer:Subtract 3x from 12x
9 x + 11 > 4 x − ( 17 − 9 x )
Simplify 4 x − ( 17 − 9 x ) .
9 x + 11 > 13 x − 17
Move all terms containing x to the left side of the inequality.
−4 x + 11 > − 17
Move all terms not containing x to the right side of the inequality.
− 4 x > − 28
Divide each term by − 4 and simplify
x < 7
Interval Notation:
( − ∞ , 7 )
Tamara earns 2,050 every month. She spends 65% on the amount that she earns. The rest of the money is equally divided and deposited into two seperate accounts. How many months until tamara has deposited more than 2,500 in one of her accounts
Answer:
Tamara earns $2,050 each month.
She spends 65% of that, so the amount that she spends is:
S = (65%/100%)*$2,050 = 0.65*$2,050 = $1,332.50
Then the amount that she has left is:
R = $2,050 - $1,332.50 = $717.50
Now she divides that in half, and deposits those amounts in two separate accounts.
She deposits $717.50/2 = $358.75 in each acount.
Then she deposits $358.75 per month, so after x months she has:
x*$358.75 in each of those accounts, so one of the accounts will have more than $2,500 when:
x*$358.75 = $2,500
x = $2,500/$358.75 = 6.96
So after 6.96 moths she will have more than $2,500 in one of her accounts, we can round it to:
After 10 months Tamara has deposited more than 2,500 in one of her accounts.
What is the vertex of y=-3x^2+6x+15? Help is much appreciated.
Answer:
(1, 18)
Step-by-step explanation:
Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.
Set y equal to the new right side.
y = -3(x - 1)
Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.
a = -3
h = 1
k = 18
Vertex = (h, k) / (1, 18)
A city has a population of 220,000 people. Suppose that each year the population grows by 7.25%. What will the population be after 13 years?
Answer:
427,350
Step-by-step explanation:
so you do 7.25×13=94.25
and then you do 94.25%×220,000=207,350
So you can now do 207,250+220,000 (which) =427,350
Carrie works 40 hours a week spend 15% her tome in the register 30% her time greeting customers remainder of her time I'm maintenance what % is her time spent in maintenance
Answer:
[tex]Maintenance = 55\%[/tex]
Step-by-step explanation:
Given
[tex]Time = 40\ hours[/tex]
[tex]Register = 15\%[/tex]
[tex]Greetings = 30\%[/tex]
Required
Percentage of time spent in maintenance;
From the given parameters,She spends the rest of her time in maintenance;
This implies that
[tex]Register + Greetings + Maintenance= 100\%[/tex]
Substitute 15% for Register and 30% for Greetings
[tex]15\% + 30\% + Maintenance= 100\%[/tex]
[tex]45\% + Maintenance= 100\%[/tex]
Subtract both sides by 45%
[tex]45\% - 45\% + Maintenance = 100\% - 45%[/tex]
[tex]Maintenance = 100\% - 45%[/tex]
[tex]Maintenance = 55\%[/tex]
Hence, the percentage of time spent in Maintenance is 55%
Which account has the highest effective annual interest rate? Account 1: Interest is compounded quarterly at an annual rate of 4.20%. Account 2: Interest is compounded monthly at an annual rate of 4.15%. Account 3: Interest is compounded semiannually at an annual rate of 4.10% Account 4: Interest is compounded annually at a rate of 4.25%.
Answer:
Account 1 has the highest effective annual interest rate (0.042666142)
Step-by-step explanation:
Hi, to answer this question we have to apply the Effective Annual Interest Rate formula:
EAIR = [(1+r/n)^n ]-1
Where:
r = nominal interest rate
n = number of periods
If interest is compounded annually, then n = 1; if semi-annually, then n = 2; quarterly, then n = 4; monthly, then n = 12
SO:
Account 1: Interest is compounded quarterly at an annual rate of 4.20%.
EAIR = [(1+r/n)^n ]-1 = [(1+(4.20/100)/4)^4 ]-1 = 0.042666142
Account 2: Interest is compounded monthly at an annual rate of 4.15%.
EAIR = [(1+r/n)^n ]-1 = [(1+(4.15/100)/12)^12 ]-1 =0.042298535
Account 3: Interest is compounded semiannually at an annual rate of 4.10%
EAIR = [(1+r/n)^n ]-1 = [(1+(4.10/100)/2)^2]-1 = 0.04142025
Account 4: Interest is compounded annually at a rate of 4.25%.
EAIR = [(1+r/n)^n ]-1 = [(1+(4.25/100)/1)^1 ]-1 = 0.0425
Since:
0.042666142 (1) < 0.0425 (4) < 0.042298535(2) <0.041420258(3)
Account 1 has the highest effective annual interest rate 0.042666142
The altitude of an object, d, can be modeled using the equation below. d=-16t^2+vh+h.where v is the initial velocity and h is the initial height.A catapult launches a stone with an initial velocity of 48 feet per second and an initial height of 0 feet. How long will the stone be in flight?
Answer:
The stone will be in flight for 3 seconds
Step-by-step explanation:
Given the equation;
d = -16t^2 + vt + h
Where;
v = the initial velocity
h = the initial height
Given;
v = 48 ft/s
h = 0
Substituting into function d;
d = -16t^2 + 48t + 0
d = -16t^2 + 48t
At the point of launch and the point of landing d = 0.
We need to calculate the values of t for d to be equal to zero.
d = -16t^2 + 48t = 0
-16t^2 + 48t = 0
Factorising, we have;
16(-t+3)t = 0
So,
t = 0 or -t+3 = 0
t= 0 or t =3
Change in t is;
∆t = t2 - t1 = 3 - 0
∆t = 3 seconds.
The stone will be in flight for 3 seconds.
vertical stretch of the graph f(x)= x² by a factor of 5
PLEASE HELP!!
Answer:
f(x) = 5x^2
Step-by-step explanation:
A vertical stretch is in the y direction
y = Cf(x) C > 1 stretches it in the y-direction
f(x) = 5x^2
Which was one of the goals for some advocates of the Progressive movement?
A: conservation
B: laissez-faire economy
C: welfare
D: establishment of a national bank
Answer:
d
Step-by-step explanation:
The principal feature of the redesigned checks is a series of printed instructions that the company hopes will help merchants confirm a check’s authenticity, which includes reminders to watch the endorsement, compare signatures, and view the watermark while holding the check to the light.
(A) which includes reminders to watch the endorsement, compare signatures, and view
(B) which include reminders for watching the endorsement, to compare signatures and view
(C) by including reminders for watching the endorsement, comparing signatures, and viewing
(D) including reminders to watch the endorsement, comparing signatures and viewing
(E) including reminders to watch the endorsement, compare signatures, and view
Answer:
(E) including reminders to watch the endorsement, compare signatures, and view
Step-by-step explanation:
The principle features that will help the company to confirms checks authenticity. It include endorsements and compare the signatures with the designated signatories. If the signatures are matched correctly with the assigned signatories the check is hold in light to view the watermark on it.
HURRY PLEASE!!!
In circle Y, what is the measure of arc TU?
59°
67°
71°
118°
Answer:
71°
Step-by-step explanation:
m∠1 = (SR + TU)/2
m∠1 = 63°
SR = 55°
substitute into the equation
63° =(55° - TU) / 2
TU = (63° * 2) - 55°
TU = 71°
¿que son los cuadriláteros?
Answer:
Cuadrilátero solo significa "cuatro lados" (quad significa cuatro, lateral significa lado). Un cuadrilátero tiene cuatro lados, es bidimensional (una forma plana), cerrado (las líneas se unen) y tiene lados rectos.
Un cuadrilátero es un polígono con cuatro aristas y cuatro vértices.
Step-by-step explanation:
identify the coefficient of X
1. 2x
2. -5x
3. 49x
4. -6x²
5. 3xy²
Answer:
2
-5
49
-6
3
Step-by-step explanation:
Coefficient is a number, value or item that serves as a measure of some property or characteristic.
or in other words a number that is added in front of a term.
Hope this helps ;) ❤❤❤
The tee for the fourth hole on a golf course is 300 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
A. 195.4 yd
B. 123.7 yd
C. 97.5 yd
D. 105.1 yd
Answer:
97.5
Step-by-step explanation:
What the answer fast
Answer: 60 degrees
Step-by-step explanation:
This triangle is a 30-60-90 right triangle because the hypotenuse is double the shortest side. Because this is a 30-60-90 right triangle, Angle C, which opens up to the x√3 side, is 60 degrees.
Hope it helps <3
Answer:
angle C=60 degrees
Step-by-step explanation:
cos C=adj/hyp
cos C=√11/2√11
cos C=1/2 ( convert to degrees)
angle C=60 degrees