Answers
Answer:
335 mm²
Step-by-step explanation:
This will be so easy, that you can do it in the future by yourself!
Okay let's start by splitting this figure, the easiest way seems to be by cutting off that little part, you know what just let me show a picture.
Okay you shuold be able to see the picture, so the small square has an area of 20, since 5 times 4 is 20 mm! The larger square has an area of 315!
How did I find this? Take that small 10mm in the side and add it to 5mm, that would be 15. 15 times the bottom the width, it would be 15 * 21. 15 times 21 is equal to 315.
Now, we add both those areas together, to get ourselves a nice little 335 mm²
I hope that helped, have a great day!!
Related Questions
Find the side lengths of the triangle in this picture.
Answers
Answer:
Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.
Step-by-step explanation:
According to the statement, we have the following information about the lengths of the right triangle:
Hypotenuse
[tex]3\cdot x + 14[/tex]
Long leg
[tex]3\cdot x + 13[/tex]
Short leg
[tex]x[/tex]
By the Pythagoric Theorem, we have the following expression:
[tex](3\cdot x + 14)^{2} = x^{2} + (3\cdot x + 13)^{2}[/tex] (1)
[tex]9\cdot x^{2}+84\cdot x + 196 = x^{2} + 9\cdot x^{2} + 78\cdot x + 169[/tex]
[tex]9\cdot x^{2} + 84\cdot x + 196 = 10\cdot x^{2} + 78\cdot x +169[/tex]
[tex]x^{2} -6\cdot x -27 = 0[/tex]
[tex](x-9)\cdot (x+3) = 0[/tex]
As length is a positive variable by nature, then the only possible solution is [tex]x = 9[/tex]. Lastly, the side lengths of the right triangle are:
Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.
A pharmaceutical company produces three kinds of cold formulas: A, B, and C. it takes 1.5 hours to produce 1000 bottles of the Formula A, 2 hours to produce 1000 bottles of formula B. and 3 hours to produce 1000 n=bottles of formula C. The profits for each 1000 of Formula A, formula B, and Formula C is $100, $150, and $210, respectively. Suppose that for a certain production run. There are enough ingredients on hand to make at most 7000 bottles of formula A, 14000 of formula B, and 3000 bottles of formula C. Furthermore, suppose the time for the production run is limited to a maximum of 50 hours. They want to maximize their profit, P. in dollars. Which of the following is the correct objective function?
a. z= 100.11 + 150.x2 + 210x3
b. z =1000x1 + 1000x2 + 1000x3
c. z=700.01 + 14000x2 + 3000x3
d. z= 1.5x1+ 2x2 + 3x3
Answers
Answer:
z = 100*x₁ + 150*x₂ + 210*x₃
Step-by-step explanation:
Lyric a looks like there is a typing error in the first term ( 100.11 ) .
the right is 100*x₁
The fan cost index represents the cost of four average price tickets
Answers
9514 1404 393
Answer:
soccer: $50.31hockey: $57.78Step-by-step explanation:
Let s represent the FCI for soccer. The given values tell us ...
s + (s +7.47) = 108.09
2s = 100.62 . . . . . . . . . . subtract 7.47
s = 50.31
s+7.47 = 57.78
The FCI for soccer was $50.31; the FCI for hockey was $57.78.
Find the length of the third side of each triangle - Find Hypotenuse
Answers
Answer:
First one 28
Second one 53
Step-by-step explanation:
Using pythagoras theorem
Sqrt(24^2+7^2)=28
sqrt(45^2+28^2)=53
6th grade, the problem solving is on the image, Thank you
Answers
Answer:
y=x+3
Step-by-step explanation:
when you connect all the dots it makes a straight linear line. then you can use the format y=mx+b
y is the y value
m is the slope (change in y divided by change in x or, rise over run)
x is the x value
b is the y intercept (the y value where the line will touch the y axis/vertical line)
to make the equation
y=mx+b
y and x are variables so you dont need to write them
the slope is rise/run just pick two points such as the first point (0,3) and the second point (1,4)
between these points it changes one unit to the right (1) and one unit up vertically meaning 1/1
=1
when the slope is 1 you get
y=1x+b which is just y=x+b
then the y intercept
the first dot is touching the y axis line and it's y value is 3
y=x+3
hope this helps
Multiple Choice Find
the value of x.
A 5 B 215
C 52 D 1
10
Answers
Answer:
5 x Square root:2
Step-by-step explanation:
(Quadratic Regressions)
A rocket is shot off from a launcher. The accompanying table represents the height of
the rocket at given times, where x is time, in seconds, and y is height, in feet. Write a
quadratic regression equation for this set of data, rounding all coefficients to the
nearest hundredth. Using this equation, find the height, to the nearest foot, at a time
of 6.4 seconds.
Answers
Answer:
y = - 15.57x² + 179.32x + 0.20
510
Step-by-step explanation:
The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :
y = - 15.57x² + 179.32x + 0.20
Where, height = y
x = time
Using the model obtained ; the height, to the nearest foot, at a time, x = 6.4 seconds.
y = - 15.57x² + 179.32x + 0.20
y = - 15.57(6.4^2) + 179.32(6.4) + 0.20
y = 510.1008
y = 510
The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :
y = - 15.57x² + 179.32x + 0.20height = y
x = time
Using the model obtained;
The height, to the nearest foot, at a time, x = 6.4 seconds.
y = - 15.57x² + 179.32x + 0.20 y = - 15.57(6.4^2) + 179.32(6.4) + 0.20 y = 510.1008 y = 510Thus, the correct answer is 510.
Know more :
https://brainly.com/question/23117287?referrer=searchResults
I can’t seem to find the value of n in this peoblem
Answers
Answer:
9
Step-by-step explanation:
you can always use guess-and-check:
124 seems rather high
(6)P(2) = 6!/4! = 6x5 ≠ 72
(9)P(2) = 9!/7! = 9x8 = 72
Answer:
i think the value of n is 12
There is a 40% chance that part of your summer this year will be spent on vacation. If there are 85 days of summer vacation, how many days will you be on vacation?
Answers
An object is thrown straight up from the top of a building 150 feet tall with an initial velocity of 12 feet per second. The height of the object as a function of time can be modeled by the function y = –16x2 +12x + 150, where y is the height of the object (in feet) and x is the time in seconds after it is thrown.
Answers
Answer:
will this work or help ?
Step-by-step explanation:
The given equation governs the height versus time of the object. h(0) = 64, so the ground is considered at h = 0. The question is at what time is h = 0? So, set h = 0 and solve for t.
-16t^2 + 48t + 64 = 0
We can divide both sides of this equation by -16 for simpler numbers. We get
t^2 - 3t - 4 = 0
We can factor this equation:
(t - 4)(t + 1) = 0
So, t = 4 and t = -1 are solutions.
But, time must be positive, so t = -1 makes no sense, so we discard it. This leaves
t = 4 sec.
The perimeter of a rectangular hall is 120m. If its breadth is 25m, find the length
Answers
Answer:
[tex] 35m [/tex]
Step-by-step explanation:
Given :-
The perimeter of a rectangular hall is 120m.Its breadth is 25m .And we need to find the length of the rectangle . We can use the formula to find the perimeter of rectangle , as ,
Perimeter of rectangle :-
[tex]\implies Perimeter = 2( l + b)[/tex]
Let the length of the rectangle be x . Plug in the respective values ,[tex]\implies 120m = 2 ( x + 25m) \\\\\implies x + 25m =\dfrac{120m}{2}\\\\\implies x + 25m = 60m \\\\\implies x = 60m - 25m \\\\\implies x = 35m [/tex]
Hence the length of the rectangle is 35 m .
Please help me with this question
Answers
Answer:
B 160 ft^2
Step-by-step explanation:
Right away you can eliminate A and C as area in square feet suppose to be. A=bh A= 20 x 8=160 ft^2
A store sells small notebooks for $8 and large notebooks for $16. If a student buys 6 notebooks and spends $80, how many of each size did he buy?
Answers
Answer:
Small-6
Large-2
Step-by-step explanation:
small-$8
large-$16
$8×6=$48
$80-$48=$32
32÷16=2(large)
5(9-x)/3 +1 less than 11
find x
Answers
Answer:
x > [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\frac{5(9-x)}{3+1}<11[/tex]
Add 3 and 1 to get 4.
[tex]\frac{5(9-x)}{4}<11[/tex]
Use the distributive property to multiply 5 by 9−x.
[tex]\frac{45-5x}{4}<11[/tex]
Subtract 45/5 from both sides.
[tex]-\frac{5}{4}x<11-\frac{45}{4}[/tex]
Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.
[tex]-\frac{5}{4} x<-\frac{1}{4}[/tex]
Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.
[tex]x>-\frac{1}{4} (-\frac{4}{5} )[/tex]
Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.
[tex]x>\frac{-(-4)}{4 x 5}[/tex]
[tex]x>\frac{1}{5}[/tex]
Milena walked 25.086 kilometers on Monday, 19.8 kilometers on Tuesday, and 7 kilometers on Wednesday. What was the total distance that Milena walked
Answers
Natalie paid $20.7 for 3 small pizzas and a salad which was $3.
Answers
17.70=3p
$5.90=p
So if you only needed the equation to describe the word problem it is
$20.70=3p+3
If you want to know how much each pizza was it is $5.90; salad $3.00
The degree measure of an angle in a right triangle is x, and sin x =
Which of the following expressions are also equal to
? Select all that apply.
A. Cos(x)
B. Cos(x - 459)
C. cos(90° - x)
D. Cos(60° - x)
E. COS(45° - x)
Answers
Step-by-step explanation:
I feel there is important information lost in the way you provided the problem statement.
e.g. "... also equal to ?"
equal to what ?
sin x = what ?
so, I can only guess some things.
answer C is definitely correct for any angle up to 180 degrees.
answer A is only correct for an angle of 45 or 225 degrees, where sin(x) and cos(x) are both 1/sqrt(2) or both -1/sqrt(2).
answer B is always wrong (459 degrees is no special number, this is a full circle of 360 degrees and then additional 99 degrees there is no special relationship between sine and cosine for 99 degrees, so sine and cosine cannot have the same value for any x).
answer D is always wrong, as there is always a 30 degree difference between the arguments for sine and cosine, and that can never lead to an equal value.
answer E is also always wrong, as these 45 degrees difference also block equal values.
Plz help me well mark brainliest!
How many units away are each of the points from the a y-axis?
A.3
B.4
C.6
D.7
Answers
B. 4
count the boxes from the point to the y axis, which would be 4
ignore my previous answer, i was confused, sorry.
Dawn weighs 80 pounds. Olivia weighs 48 ounces more. How much does Olivia weigh?
Answers
48oz = 3lbs
80+3
ILL MARK BRAINLIEST!
Which of these points lies on the graph of the equation x – 9 = y?
A. (3, 6)
B. (2, 11)
C. (-3,-6)
D. (-2, -11)
Answers
Answer:
D. (-2, -11)
Step-by-step explanation:
Since -2 - 9 = -11, it fits into the equation x - 9 = y, with -2 being "x" and -11 being "y".
And out of all the options, D is the only one that works.
Trapezoid A and trapezoid B as shown on the coordinate grid.
Describe three basic transformations on trapezoid A which show trapezoid B is similar to trapezoid A. In your response, be sure to identify the transformations in the order they would be performed.
Answers
Answer:
Step-by-step explanation:
The missing diagram showing the trapezoids is attached in the diagram below.
There are three stages by which trapezoid A must be transformed into trapezoid B.
We can see three fundamental differences as follows:
rotationsize locationAs a result, we will perform the following transformations:
Right off the bat, carry out an anticlockwise rotation of Trapezoid A 90 degrees from the origin.Then, to balance the size of the dimension, elongate by a scale factor of 1/3. (As can be shown, each side is three times larger after this move, and its base is at y = -2)Finally, a three-unit down translation is carried out.Which one of the following is an ordered pair?
{-3, 5}
(2, 4, 0)
(0, 6)
1, 3
Answers
9514 1404 393
Answer:
(c) (0, 6)
Step-by-step explanation:
Conventionally, an "ordered pair" is a pair of items in parentheses, separated by a comma. The items don't have to be numbers. (0, 6) is an ordered pair.
__
Comments on the other answer choices
Curly braces are usually used as delimiters of a set, not an ordered pair.
Three items do not constitute a "pair." Rather, they are a "triple."
Items without any particular indicator of grouping are usually not considered a "pair."
Which value is a solution of 7/4x^2-2=-0.5+4?
Answers
Answer:
x=√154 over 7 , −√154 over 7
Step-by-step explanation:
Answer:
the answer is that x=positive or negative square root of 22 over square root of 7
Step-by-step explanation:
HELPP
A report indicated that the RoyCo corporation grew in dollar value by 40% between 2007 and 2012 but by only 12% between 2012 and 2014. Which of these factors supports the claim that the data are potentially misleading?
The given intervals of time are different.
A.The two intervals of time are kept separate.
B.The overall value of the company is unstated.
C.The basis for determining the given values are unexplained.
Answers
Answer:
y-step explanation:
Draw a picture of a line and a point that is not on the line. Draw in the shortest distance from the point to the line. What do you notice about the line connecting the point and the line to the original line?
Answers
Answer:
The shortest segment from the point to the line is perpendicular to the line.
Step-by-step explanation:
See the attached image. The blue segments go from the point to the line, but they are longer than the shortest such segment (red).
Pls help me with this
Answers
Answer:
sin X=30 degree
cos X=30 degree
tan X=30 degree
cot X=30 degree
sec X=30 degree
Step-by-step explanation:
What is the radius of
this cylinder if the
volume is 75.4 in^3 and
the height is 6 inches
Answers
Answer:
Radius of cylinder = 2 inch (Approx.)
Step-by-step explanation:
Given:
Volume of cylinder = 75.4 in³
Height of cylinder = 6 inches
Find;
Radius of cylinder
Computation:
Volume of cylinder = πr²h
Volume of cylinder = (3.14)r²(6)
75.4 = (18.84)r²
(Radius of cylinder )² = 75.4 / 18.84
(Radius of cylinder )² = 4.002123
(Radius of cylinder) = 2
Radius of cylinder = 2 inch (Approx.)
Help please!!! This is my last question
Answers
Answer:
c. 203
Step-by-step explanation:
The formula is A + [tex]\frac{1}{2}[/tex] p(s)
A=area of base
p=perimeter of base
s=slant height
So plug in the numbers: 49 + [tex]\frac{1}{2}[/tex] 28(11) and solve.
Plzzz help me well mark brainliest if correct .....????
Answers
Answer:
Third Grade!
Step-by-step explanation:
Hope you have a good day <3
Answer:
it's third grade:)
Step-by-step explanation:
just follow the line from 150 and when you see the grade level that meets it exactly there's your answer!
Factor the following expressions completely. Show and check all work on your own paper.
5x2-50x+125