The figure below is made up of a square with height, h, units and a right triangle with height, h units, and a base length, b units.
The area of this figure is 80 square units.
Write an equation for the area of the shape below.
Answers
Answer:
Step-by-step explanation:
A = 12 × 16 + (1/2)(12 + 8)(10) = 292 units²
The Equation for Area of figure is area of Figure, h² + 1/2(h)(b) = 80
What is Area?The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
Given:
We have the figure consist of one rectangle and one right triangle.
Now, Area of Figure,
=Area of rectangle + area of Triangle
= length x width + / x base x height
= 16 x 12 + 1/2 x 10 x 20
= 192+ 100
=292 unit²
and, if the square with height, h, units and a right triangle with height, h units, and a base length, b units.
Then, area of Figure= h² + 1/2(h)(b) = 80 square units.
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Related Questions
What is the value of the expression 5y² + 4x when x = 2.5 and y = 3?
Answers
Answer:
55
Step-by-step explanation:
the value of the expression 5y² + 4x when x = 2.5 and y = 3 will be 55.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression 5y² + 4x
To calculate the value of expression at x = 2.5 and y = 3
Substitute the value of x and y in the expression:
=> 5y² + 4x
=> 5* 9 + 4 * 2.5
=> 45 + 10
=> 55
therefore, 55 is the value of the expression 5y² + 4x when x = 2.5 and y = 3.
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Carlos is making party favors. Every bag has exactly the same treats in it. Carlos has 96 granola bars and 64 popcorn balls. What is the greatest number of party favors Carlos can make?
Answers
Answer:
32
Step-by-step explanation:
Given that:
Number of granola bars = 96
Number of popcorn balls = 64
Greatest number of party favors that can be made from granola bars and popcorn balls ;
Obtain the greatest common factor of both 96 and 64
Factors of :
96 : 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
64 : 2, 4, 8, 16,32
greatest common factor is 32,
Hence, greatest number of party favors that can be made is 32
A satellite travels 12 miles in 15 minutes at a constant speed. What is the satellite’s speed in mile per hour?
Answers
Answer: 46 mph
Step-by-step explanation: 15*4=60 so 12*4=46
I hope this helps!
HELPPPP.
Suppose a bird is 500 feet above the ground. It descends at a steady rate. After 10 seconds, it is 250 feet above the ground.
a) Write an equation that gives the height of the bird as a function of time. Be sure to define your variables!
b) After how many seconds will the bird land on the ground?
Answers
Answer:
500-10x=250
x=how much the bird descended in a second
the bird will land on the ground in another 10 seconds.
Step-by-step explanation:
the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.
Answer:
a) [tex]h(t)=500-25t[/tex]
b) [tex]t=20[/tex]
Step-by-step explanation:
a)
Let [tex]h[/tex] = height above ground
Let [tex]t[/tex] = time
Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.
∴ [tex]h(t) = 500-25t[/tex]
b)
To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:
[tex]0=500-25t[/tex]
[tex]25t=500[/tex]
[tex]t=20[/tex]
∴ It takes 20 seconds for the bird to reach the ground.
For the following pairs of equations explain why the equations are NOT equivalent.
Answers
What is the zero of F?
Answers
Answer: i wish i could help
Step-by-step explanation:
11) Which of the following is zero of the polynomial x^3+x^2+x+1
1
-1
both options 1 and 2
None
please answer
Answers
Answer:
The correct answer is option 2: -1
Step-by-step explanation:
In order to check if a number is zero of a function or not, the numer is put into the function in plave of variable. If the answer is zero thent he number is zero of the function and if the answer is not zero the given number is not a zero of the function.
Given function is:
[tex]x^3+x^2+x+1[/tex]
Putting x=1
[tex]=(1)^3+(1)^2+1+1\\=1+1+1+1\\=4[/tex]
1 is not zero of the function.
Putting x = -1
[tex]=(-1)^3+(-1)^2+(-1)+1\\=-1+1-1+1\\=0[/tex]
-1 is zero of the given function.
Hence,
The correct answer is option 2: -1
Use a quick picture to model 0.62 -0.18. Then write in your answer.
Answers
Answer:
0.44
Step-by-step explanation:
Subtraction is just like addition. How much do you need to make 0.18 0.62? then you have your answer. This is just a strategy.
answer the question for good boy stars
Answers
Answer:
its-5.5°C
explanation
combine it
Answer:
the answer is br-br
Step-by-step explanation:
that is answer bro
answer the question under here yo
Answers
to solve for n, it would be
n = 180 - 110 <3
if i misunderstood the question mbmb
What is the slope of the line that passes through the points (-6, -10) and (3,-13)? Write your answer in simplest form.
Answers
We must use slope formula* to solve this.
[tex]\frac{-13 - (-10)}{3 - (-6)}\\\\\frac{-3}{9} = -\frac{1}{3}[/tex]
m** = [tex]-\frac{1}{3}[/tex]
*Slope Formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
**m is the symbol for slope.
What is the solution to the inequality 75 > x/15?
______________________________________
A) x 1,125
C) x 5
______________________________________
Answers
Answer:
75 > x/15
Step-by-step explanation:
Step 1: Mulitply the 15 on both sides in order to get the x by it self.
Step 2: Simplify. 75 x (15) >x/15 x (15)
Step 3: The 15 on the right hand side cancels out leaving the x by itself.
Final Answr: 1125 > x which translates to x < 1125
The solution to the inequality is: A) (x > 1125)
To solve the inequality 75 > x/15, we need to find the range of values for x that satisfy the inequality.
First, we can start by isolating x on one side of the inequality. To do that, we can multiply both sides of the inequality by 15 (since 15 is a positive number, we don't need to reverse the inequality sign):
75 * 15 > x
Now, simplify the left side of the inequality:
1125 > x
So, the solution to the inequality is x < 1125, which means all values of x that are less than 1125 will satisfy the inequality.
Visually, if we plot the graph of y = x/15 and y = 75, we'll see that y = x/15 is a straight line with a positive slope of 1/15 passing through the origin, and y = 75 is a horizontal line parallel to the x-axis at the y-coordinate of 75. The solution to the inequality is the region below the line y = 75, which corresponds to the values of x that are less than 1125.
In real-world terms, this inequality represents a scenario where 75 is greater than some fraction of x divided by 15. To satisfy the inequality, x must be less than 1125. For example, if x represents the number of items sold in a store, this inequality would indicate that the store must sell fewer than 1125 items to meet the condition. The store's sales would need to be less than 1125 * 15 = 16,875 to maintain the inequality's validity. Beyond this point, if the store sells more items, the inequality would no longer hold true.
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Given the sum of the interior angles of a polygon, tell the number of sides of the polygon.
If the interior angle sum is 360°, the polygon has _
sides.
If the interior angle sum is 540°, the polygon has _
sides.
If the interior angle sum is 900°, the polygon has _
sides.
If the interior angle sum is 1260°, the polygon has _
sides.
Answers
Answer:
[tex] \underline{the \: sides \: are} \: \to \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed{ n= 5}} \\ \:\underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed{ n= 9}} \\ \: [/tex]
Step-by-step explanation:
[tex] \\ the \: sum \:o f \: the\: interior \: angles \: of \: aregular \: polygon \: \\ is \: generaly \: given \: by \to \: 180(n - 2)\\ \underline{ \boxed {case \:( 1) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 360°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 360 \\ n - 2 = 2 \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed {case \:( 2) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 540°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 540 \\ n - 2 = 3 \\ \underline{ \boxed{ n= 5}} \\ \: \underline{ \boxed {case \:( 3) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 900°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 900 \\ n - 2 = 5 \\ \underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed {case \:(final ) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 1260°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 1260 \\ n - 2 = 7\\ \underline{ \boxed{ n= 9}} \\ \: [/tex]
♨Rage♨
Answer:
4,5,7,9
Step-by-step explanation:
Got it right on edge
twice the greater of two integers odd integers is 13 less than 3 times the lesser number. find the integers. what are the integers to this riddle?
Answers
Answer:
17 and 19
Step-by-step explanation:
n= lesser integer n+2= greater integer
2(n+2) = 3n -13
2n +4 = 3n-13
n= 17
lesser number =17
The other greater number = 19 (they are odd,so skipping 18)
19 x 2 = 38
17x3 - 13 =51-13 = 38
What is the value of y?
Answers
Answer:
y = 29 degrees
Step-by-step explanation:
5y + 35 = 180
5y = 145
y = 29
Cuáles son los métodos de integración
Answers
Answer:
Spanish:
Los diferentes métodos de integración incluyen:
Integración por sustitución.
Integración por partes.
Integración mediante identidades trigonométricas.
Integración de alguna función particular.
Integración por fracción parcial
Step-by-step explanation:
English:
The different methods of integration include:
Integration by Substitution.
Integration by Parts.
Integration Using Trigonometric Identities.
Integration of Some particular function.
Integration by Partial Fraction.
If f(x)=x2-1, what is f(4)?
Answers
4^2-1
16-1
Answer
15
Answer: 15
Step-by-step explanation:
Substitute 4 in x.
Answer quick please!
Answers
determine the measure of angle a. PLEASE HELP ASAP!
a.64 degrees
b.45 degrees
c.88 degrees
d.42 degrees
Answers
Answer:
D
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle will always total 180.
Therefore:
[tex](9x+6)+(74)+(16x)=180\\[/tex]
Let’s solve for x:
Combine LIke Terms:
[tex](9x+16x)+(74+6)=180[/tex]
Add:
[tex]25x+80=180[/tex]
Subtract 80 from both sides:
[tex]25x=100[/tex]
Divide both sides by 25:
[tex]x=4[/tex]
Therefore, the value of x is 4.
Now, to find A, we can substitute it for A.
A is measured by:
[tex]\angle A=9x+6[/tex]
Substitute 4 for x and evaluate:
[tex]\angle A=9(4)+6=36+6=42\textdegree[/tex]
Hence, our answer is D.
HELP WILL GIVE BRAINLIEST
Answers
Answer:
A. 2000 square inches
B. 53.1 square inches
LAST QUESTION PLS HELP idk if you can see it all
Answers
Answer:
C is the right answer
Step-by-step explanation:
y= 2x-4
6r - 3y = 12
Answers
PLEASE HELP ASAP VERY IMPORTANT I WILL DO ANYTHING THNK YOU SO MUCH ITS MY BDAY TMRW TOO
Answers
Answer:
i dont have the answers i just wanted to say happy b day
Step-by-step explanation:
What is the equation of the line parallel to 8x−16y=−14 and passing through (3,0)?
6x−12y=18
6x+12y=18
12x−6y=−18
12x+6y=18
Answers
Answer:
2y = x - 3
Step-by-step explanation:
Parallel lines can be defined as lines that do not intersect and as a result of this, parallel lines have the same slope but different intercepts.
Given the following data;
Points (x, y) = (3, 0)
Equation is 8x - 16y = -14
To find the equation of the line?
First of all, we would have to determine the slope of the line;
y = mx + c ......equation 1
8x - 16y = -14
Rearranging the equation, we have
16y = 8x + 14
Dividing through by 16, we have;
y = 8/16(x) + 14/16
y = 1/2(x) + 7/8
Therefore, the slope, m is 1/2
*To find the intercept*
Since the line is parallel we would use, m = 1/2
Substituting the values into equation 1, we have;
y = mx + c for x = 3 and y = 0
0 = 1/2(3) + c
c = -3/2
Re-writing the equation of line;
Slope, m = 1/2
Intercept, c = -3/2
y = 1/2(x) + (-3/2)
Multiplying all through by the lowest common denominator "2"
2y = x - 3
What is the slope of the line (-3,0) and (0,-4)
Answers
Explanation:
You would use the slope formula
y2-y1/x2-x1
-4-0/0-(-3)
-4/3
Help pls I'm gonna be screwed if you don't get this pls pls pls anyone who knows math well pls help me I'm gonna cry it's over due please:( :(
Just last two please
Answers
Answer:
WRONG ALL
Step-by-step explanation:
3. Should be:
[tex] - 4 \frac{7}{8} \times \frac{2}{3} \\ \\ - \frac{39}{8} \times \frac{2}{3} \\ \\ \frac{ -13}{4} [/tex]
4. Should be:
[tex] - 3 \frac{1}{5} + - \frac{2}{3} \\ \\ - 3 \frac{3}{15} - \frac{10}{15} \\ \\ - 3 \frac{7}{15} [/tex]
I hope this helps you :)
There are 20 students. Two-fifths of the students are girls. How many students are girls?
Answers
Answer:
There are 8 girls.
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
20 divided by 5 = 4.
4x2=8
What is the measure of Zx in the diagram shown below?
A
23°
B
33°
С
113°
157°
Answers
Answer:
Since that is a right angle it is going to equal 90 degrees. Since you know that the first angle is 67 degrees subtract 67 from 90 and get 23 degrees.
Step-by-step explanation:
1.15÷0.23=? pls answer guys
Answers
Answer:
5
Step-by-step explanation: I used a calculator
what is the slope of the line ? please
Answers
Answer:
1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation: