Answers
The correct option is c.
The area of the figure is [tex]\( 320 \)[/tex] square millimeters.
To find the area of the given figure, which is composed of a triangle and a rectangle, follow these steps:
1. Calculate the area of the rectangle: The area of a rectangle is found by multiplying the length by the width. From the figure, we see that the length is 20 mm and the width is 15 mm. So, the area [tex]\( A_{\text{rectangle}} \)[/tex] is:
[tex]\[ A_{\text{rectangle}} = \text{length} \times \text{width} = 20 \, \text{mm} \times 15 \, \text{mm} \][/tex]
2. Calculate the area of the triangle: The area of a triangle is found by using the formula [tex]\( \frac{1}{2} \times \text{base} \times \text{height} \)[/tex]. The base of the triangle is 20 mm (same as the length of the rectangle) and the height, which is the perpendicular distance from the base to the opposite vertex, is 2 mm. So, the area [tex]\( A_{\text{triangle}} \)[/tex] is:
[tex]\[ A_{\text{triangle}} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 20 \, \text{mm} \times 2 \, \text{mm} \][/tex]
3. Add the areas of the rectangle and triangle to find the total area: The total area [tex]\( A_{\text{total}} \)[/tex] is the sum of [tex]\( A_{\text{rectangle}} \)[/tex] and [tex]\( A_{\text{triangle}} \)[/tex].
[tex]\[ A_{\text{total}} = A_{\text{rectangle}} + A_{\text{triangle}} \][/tex]
Now let's calculate the areas with the given dimensions.
The area of the rectangle is [tex]\( 300 \)[/tex] square millimeters, and the area of the triangle is [tex]\( 20 \)[/tex] square millimeters. Adding these together gives us the total area of the figure:
[tex]\[ A_{\text{total}} = A_{\text{rectangle}} + A_{\text{triangle}} = 300 \, \text{mm}^2 + 20 \, \text{mm}^2 = 320 \, \text{mm}^2 \][/tex]
Therefore, the answer is [tex]\( 320 \)[/tex] square millimeters.
The options are give here:
A. 175 square millimeters.
B. 200 square millimeters.
C. 320 square millimeters.
D. 350 square millimeters.
Related Questions
Two fifth of the students in a class are male find the number of male students if there are 50 students in the class
Answers
Twenty students are male.
Hope this helps.
A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning the mural to be (x+4) by(2x+5) what is the area of the remaining wall after the mural has been Painted
Answers
Answer: [tex]46x^2+73x+15[/tex]
Step-by-step explanation:
The area of a rectangle can be calculated with the formula:
[tex]A=lw[/tex]
l: the length of the rectangle.
w: the width of the rectangle.
The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.
Knowing that the dimensions of the wall are [tex](6x+7)[/tex] by [tex](8x+5)[/tex], its area is:
[tex]A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35[/tex]
As they are planning that the dimensions of the mural be [tex](x+4)[/tex] by [tex](2x+5)[/tex], its area is:
[tex]A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20[/tex]
Then the area of the remaining wall after the mural has been painted is:
[tex]A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15[/tex]
Which side effect of anabolic steroid use is the least possible?
A. Brain and liver cancer
B. More acne
C. Smaller muscles
D. Increased anxiety, irritability, or sudden rage.
Answers
it would be A i hope i helped
The least possible side effect of anabolic steroids among the choices provided is the first choice which is Brain and liver cancer.
What is an anabolic steroid?Anabolic steroids are synthetic variations of the male hormone. The proper term for these compounds is anabolic-androgenic steroids.
"Anabolic" refers to muscle building, and "androgenic" refers to increased male characteristics.
Irritability and aggression increase when anabolic steroids are used in high doses.
The least possible side effect of anabolic steroids among the choices provided is the first choice which is Brain and liver cancer.
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Describe in words how to obtain the graph of f(t) = sin(5t + 20) − 7 from the graph of y = sin(5t).
Answers
Answer: f(t) is shifted 20 units to the left and 7 units down
Step-by-step explanation:
The general form of a sin function is: y = A sin (Bx - C) + D
A is the vertical stretch (amplitude)B is the horizontal compressionC is the horizontal shift (left or right)D is the vertical shift (up or down)y = sin (5t)
f(t) = sin (5t + 20) -7
the C-value is -20 --> shifts 20 units to the leftthe D value is -7 --> shifts 7 units downTalia uses 10 strawberries and 4 oranges to make 8 servings of fruit salad. how many oranges and strawberries does talia need to make 12 servings?
Answers
Answer:
25 strawberries and 10 oranges
Step-by-step explanation:
1) 12 ÷ 8 = 2.5
2)10 x 2.5= 25
3)4 x 2.5=10
What is the domain and range for the following function and its inverse?
f(x) = x^2+3
Answers
Answer: The first answer choice
Step-by-step explanation:
111 = 14g what is g??
Answers
Answer:
the answer to this is 7.9 or 7 13/14
Step-by-step explanation:
1. Divide both sides by 14
111/14 = 14g/14
2. Simplify
g = 7 13/14
Final answer:
The variable 'g' in the equation 111 = 14g is found by dividing 111 by 14, resulting in approximately 7.929 (rounded to 4 significant figures).
Explanation:
The equation given is 111 = 14g, which seems to be a simple algebra equation where you are solving for the variable g. To find g, you would divide both sides of the equation by 14 to isolate g.
This calculation yields: g = 111 / 14, which equals 7.92857142857. However, this number might need to be rounded depending on the context or instructions for significant figures. If the problem instructions mentioned 4 sig figs, the answer would be rounded to 7.929.
A ship travels 54 km on a bearing of 13 degrees, and then travels on a bearing of 103 degrees for 156 km. Find the distance of the end of the trip from the starting point, to the nearest kilometer.
A) 165 km
B) 12 km
C) 53 km
D) 210 km
Answers
HELP ASAP! GIVING BRAINLIEST!!
What is the height of the cylinder in the diagram? Round your answer to the nearest whole number.
Answers
Answer:
Hello thank you for your question! The answer to your problem is 2.993
Enjoy Brainly ,
Homepage10
Step-by-step explanation:
Answer: 8 cm
Step-by-step explanation: its 8
How can x + 3 = −2x + 5 be set up as a system of equations?
Answers
Answer:
y = x+3; y = -2x +5
Step-by-step explanation:
x + 3 = -2x + 5
Let y = x + 3 = -2x + 5
If a = b = c then a=b and a=c
we can write the equation as
y = x + 3 and y = -2x + 5
Thus, this is the system of equations
y = x + 3
y = -2x + 5
Answer:
y = x + 3 and y = -2x + 5
Step-by-step explanation:
If we consider one set of equation as:
[tex] y = x + 3 [/tex]
and the other set of equation as:
[tex] y = - 2 x + 5 [/tex]
Since the left hand side for both these equations is same, therefore we can equate the right hand side and write it as:
[tex] x + 3 = - 2 x + 5 [/tex]
Answer ASAP
Which two expressions are equivalent to 6 * V * W * 1/2
A. 1 * 3 * v * w + 0
B. 3(v + w)
C. 3 * v * w
D. w * v * 1/2 * 6 + 1
E. 2 * v * w
* = multiplication
Answers
The answer is C. Hope this helps!
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Passing through (negative 2,4) and (3,4)
Answers
Answer:
y = 4
or
y - 4 = 0(x - 3)
Step-by-step explanation:
The points (-2,4) and (3,4) have the same y-value. Because of this, the slope of the line will be 0 and the line will be horizontal. This means the line will have the equation y = b where b is the y-coordinate. The equation of the line is
y = 4.
In point slope form, the equation will have m = 0.
y - 4 = 0(x -3)
A car servicing station is running a special offer. The breakdown of the cost for different services is given below.
Membership Fee: $50 (one-time cost)
Air Freshener Cost: $4 per car per month
Washing Cost: $10 per car per month
Tire Replacement Cost: $400 per car
Tire Pressure Check Cost: $15 per month
The total cost for 12 months of this service for n cars is given by the expression below.
568n + 230
Answers
Answer:
Option C
Step-by-step explanation:
There are several types of costs in this problem:
* Unique costs
* Costs that depend on the number of cars
* Costs that depend on the number of months
* Costs that depend on the number of months and the number of cars.
The costs that depend on the number of cars represent the coefficient of the variable n.
The costs that do not depend on the number of cars represent the constant value of the equation.
Then, to solve this problem you must identify the costs that do not depend on the number of cars.
These costs are:
* Membership Fee: $ 50 (one-time cost)
* Pull Pressure Check Cost: $ 15 per month
[tex]\$50 + \$15(12\ month) = \$230[/tex]
Then the answer is option C
help please! which choice represents the fraction below as a single exponential expression?
Answers
Answer:
B
Step-by-step explanation:
use the exponent rule of division: you just subtract the exponents if the base is the same, so 4-8=-4
The fraction with a numerator of 3.74 x 10⁻¹⁶ and a denominator of 10⁻³⁰ represented as a single exponential expression is 3.74 x 10¹⁴, obtained by dividing the digit terms and subtracting the exponents.
Explanation:To represent the fraction as a single exponential expression, you follow the division of exponentials rule, which involves dividing the digit terms and subtracting the exponents of the exponential terms. Given the fraction with a numerator of 3.74 x 10-16 and a denominator of 10-30, you would divide 3.74 (the digit term of the numerator) by 1 (the implied digit term of the denominator) which is just 3.74, and subtract the exponents (-16 - (-30)) which equals 14. Therefore, the fraction as a single exponential expression is 3.74 x 1014.
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if you dig a 12 feet hole and you cover up that hole how deep is that hole
Answers
Answer:
If your definition of "Cover" is to fill it in, than there is no longer a hole.
If your definition of "Cover" is to simply "cover" the hole and not filling it, there is still a 12 feet hole.
Unless your perspective is that there is no hole simply because it was Covered.
Step-by-step explanation: Try again
the hole would be over 9000 deeper
You have $20.43 in your wallet. You find $5.12 in your pocket before washing your clothes. How much money do you have?
Answers
20.43+5.12=25.55 so ur answer is 25.55
Answer:
$25.55
Step-by-step explanation:
43+ 12 =55
20+5=25
The answer is $25.55.
12y^2–5y=2
thank you!
Answers
answer Y=1 over 4 and Y= 2 over 3 that is your answer and these are the steps I'm going to put a image hope this is useful to u and have a beuty day
Answer:
f(y) = 12y^2 -5y -2 = 0
a = 12 b =-5 c=-2
Using quadratic formula:
y = [-b +-sq root (b^2 -4ac)] / 2 a
y = [--5 +-sq root (25 -4*12*-2)] / 24
y = [5 +- sq root (25 + 96) ] / 24
y = [5 +- sq root (121) ] / 24
y = [5 + 11] / 24
y1 = (2/3) = .66666666666
y2 = 5 -11 / 24
y2 = -(1/4) = -.25
Step-by-step explanation:
Determine if the numbers are parallel, perpendicular or netiher.
y=-7
y=6
Will mark brainest!!
Answers
Answer:
Parallel :)
Step-by-step explanation:
thats the tea sis.
I need help on this...
Answers
Answer:
(b) 12; (a) 75%
Step-by-step explanation:
For b, convert the percentage to a SIMPLIFIED FRACTION [3⁄20 = 15%]. After you get your fraction, multiply it by 80 to get 12.
For a, it gives you your number already, but kind of turned around. This time, they want to to figure out what percentage of 48 will give you 36. Simply divide 36 by 48 to get your answer.
I am joyous to assist you anytime.
A leaky pool loses 2 1/4 inches of water each day. Jermaine and Mildred are asked to determine the change in the amount of water in the pool over 5 days.
Mildred’s Solution
5 (-2 1/4)
5(-2- 1/4)
-10-5/4
-11 1/4
Answers
Answer: 5(-2 1/4)
Step-by-step explanation: When somethig is being taken away, it's represented as a negative number. The number needs to be displayed throug 5 days, so A would be correct. To check, a negative times a postive is a negative, and 5 times -2 1/4 is -11 1/4.
please help me thank you
Answers
the answer is twenty-four
= 24
Therefore the area is 24 units squared.
Plz help !! Needed to graduate
Answers
Answer: 3x
Step-by-step explanation:
[tex]\dfrac{\sqrt[3]{54x^5}}{\sqrt[3]{2x^2}}=\dfrac{\sqrt[3]{3\cdot 3\cdot 3\cdot 2\cdot x\cdot x\cdot x\cdot x^2}}{\sqrt[3]{2x^2}}=\dfrac{3x\sqrt[3]{2x^2}}{\sqrt[3]{2x^2} }=\boxed{3x}[/tex]
Identify the figure formed by the net
Answers
Answer:
cylinder
Step-by-step explanation:
may somebody help me please
Answers
Answer:
The answer is C because when you substituted the coordinate pairs into the equation, both sides are equal which tells you that they're a solution to the equation.
Explanation:
All you do is substitute. (x,y)
A:
Substitute
1 = 4(2) - 7
Multiply the number inside the parentheses by the outside number.
1 = 8 - 7
Subtract to get your solution.
1 = 1
Both sides equal to each other so this means that this is a solution to the equation.
B:
Substitute
9 = 4(4) - 7
Multiply the number inside the parentheses by the outside number.
9 = 16 - 7
Subtract to get your solution.
9 = 9
Both sides equal to each other so this means that this is also a solution to the equation.
D:
Both ordered pair is a solution to the equation.
Two planes left simultaneously from the same airport and headed in the same direction towards another airport 1800 km away. The speed of one of the planes was 100 km/hour slower than the speed of the other plane, and so it arrived at its destination 36 minutes after the faster plane. Find the speeds of both planes.
Answers
Answer:
Faster plane --> 600km/hr
Slower Plane --> 500km/hr
Step-by-step explanation:
Use inequality: 1800/r = 1800/(r-100) + 3/5 and solve to get r = 600, so the plane which is r -100 is 500 km/hr.
A princess hat for a costume is shaped like a cone. The base of the cone is 12 in across and the height is 8 in. The slant height of the outside edge, which is unknown, is the hypotenuse of the right triangle formed with the radius and the height of the cone.
(a) Sketch the princess hat. Label the known lengths as described and label the unknown length as x.
(b) what is the slant height of the outside edge?
plz help!
Answers
Answer:
Part a) The drawn in the attached figure
Part b)The slant height of the outside edge is [tex]x=10\ in[/tex]
Step-by-step explanation:
Part a) The drawn in the attached figure
Part b) What is the slant height of the outside edge?
we have that
The diameter of the base of the cone is 12 in
so
[tex]r=12/2=6\ in[/tex] ----> the radius is half the diameter
[tex]h=8\ in[/tex]
Applying the Pythagoras Theorem find the slant height x
[tex]x^{2}=r^{2}+h^{2}[/tex]
substitute the values
[tex]x^{2}=6^{2}+8^{2}[/tex]
[tex]x^{2}=100[/tex]
[tex]x=10\ in[/tex]
Please help!! I need ASAP 10 points <3
Answers
write the equation 2/3 of c subtracted from 2
Answers
Hello.
You would write the equation like this: [tex]\frac{2}{3} c - 2[/tex]
Let me know if that was what you were looking for.
What is the distance between points D and H? Round to the nearest tenth of a unit. D(1,3) H(9,8)
Answers
Answer:
9.4 units
Step-by-step explanation:
To find the distance between two points D ( 1, 3 ) and H ( 9, 8 ), we can use the distance formula:
d = √(( x₂ - x₁ )² + ( y₂ - y₁ )² )
Substituting the coordinates, we have:
d = √( ( 9 - 1 )² + ( 8 - 3 )²)
Simplifying,
d = √( 8² + 5² )
d = √( 64 + 25 )
d = √89
d ≈ 9.4 units
The distance between point D and H to the nearest tenth is 9.4 units
What is distance between two points?The distance between two points is the length of the line segment joining them. Since the length of the line segment cannot be negative, the distance between two points is always positive.
The distance between two points is expressed as
S = √ X -x)² + (Y -y)²
= √ 9-1)² + 8-3)²
= √ 8² + 5²
= √ 64 +25
= √89
= 9.4 ( nearest tenth)
Therefore the distance between point D and H to the nearest tenth is 9.4 units
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A square has a side length of 36 feet the square is dilated by a scale factor of 2/3 do you create a new square what is the side length of them is square
Answers
you would multiply 36*2/3 and get 24 which would be the new side length
Answer:
24 feet
Step-by-step explanation:
got it right on ttm :)