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
How many ways can you choose UP TO three items from a set of seven
different items? *
Which one is the right answer?
259
35
2187
Answers
Answer: 35
Step-by-step explanation:
A rope is 225 centimeters long.
You need the rope to be 1 1/2 meters long.
How many centimeters should you cut off?
Answers
Rope = 225 cm
Needed rope = 11/2m = (11/2) × 100 cm = 550cm
So, rope needed to be cut
= 550cm - 225cm
= 225cm
=225/100m
=2.25 m
What value could be put in the blank to make this equation have no solution?
2(5x+3) = 3x - 9 + ____
Answers
Answer:
3/7
Step-by-step explanation:
Let's solve your equation step-by-step.
2(5x+3)=3x+9
Step 1: Simplify both sides of the equation.
2(5x+3)=3x+9
(2)(5x)+(2)(3)=3x+9(Distribute)
10x+6=3x+9
Step 2: Subtract 3x from both sides.
10x+6−3x=3x+9−3x
7x+6=9
Step 3: Subtract 6 from both sides.
7x+6−6=9−6
7x=3
Step 4: Divide both sides by 7.
7x
7
=
3
7
x=
3
7
Answer:
x=
3
7
Hope it helps :)
What is f(4) for the function f(x) = 6x +3?
f(4)=0
Answers
= 24+3=27
F(4)=27.
The value of function f(4) is 27.
It is required to find the value of function f(4).
What is function?
A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given that:
The function is
f(x) = 6x +3
Now put the value x=4 in the given function, we get
f(4)=6(4) +3
= 24+3
=27
f(4)=27.
Hence, the value of function f(4) is 27.
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For one English test, Benny had to answer 15 questions. Of these questionsBenny answered 60% of them correctly. How many questions did Benny correctly answer on his test?
Answers
Answer:
9 correct
Step-by-step explanation: 60% of 15 = 9
A carpet cleaning company will clean an apartment for $71.00. Jim has a coupon for 20% off the total price.
How much money will Jim save if he uses the coupon?
Answers
Answer:
Step-by-step explanation:
Jim will save $14.20
To calculate this we use multiplication, multiply $71.00 with 20% which in decimal form
Comes to .20.
The end result is $14.20.
Step-by-step explanation:
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:
4+x/ 4-x
Using quotient rule differentiate with respect to x
Answers
the sum of 3 consecutive numbers is 99 what are the numbers
Answers
Answer:
32+33+34
Step-by-step explanation:
If I understand the question correctly, you're looking for 3 different numbers that are all consecutive that add up to be 99. The way I did it was finding 3 consecutive numbers that add to 9. 2, 3, 4. I knew the 10s place had to be a 3 because 30+30+30=90, 2+3+4=9, 90+9=99
While the family went on vacation, Lisa boarded her cat at a kennel that charged $9.25 per day. If
Lisa boarded her cat for 1 week and 5 days, how much did it cost her to board her cat?
A $18.25
B $74.00
C$111.00
D Not Here
Answers
Answer:C
Step-by-step explanation: 7+5=12 12x9.25=111.00
Answer:
C
Step-by-step explanation:
1 week is seven days. 7 + 5 is 12. to get your answer you multiply the number of days by the cost. 12 x $9.25 is $111 dollars
help pls i need it a lot hi
Answers
Answer:
Answer is Q,R,P
Hope it helps....... pls mark as brainliest
Answer:
The second: ∠Q, ∠R, ∠PStep-by-step explanation:
In every triangle the largest angle is oposite to the longest side and the smaller angle is oposite to the shortest side
the longest side is PR=15, so the largest angle is Q
the shortest side is QR=7, so the smallest angle is P
Suppose there is a 1.1 drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 60.5, what will be the temperature when the plane reaches an altitude of 11,000?
Answers
Answer:
48.4° CStep-by-step explanation:
Step one:
We are told that there is 1.1° drop in temperature for each 1000 ft climb.
since the given altitude is 11,000ft,
hence there =(11000/1000)*1.1
= 11*1.1
=12.1°C drops in temperature.
Therefore, given that the temperature on the ground is 60.5° C
The temperature above is 60.5-12.1=48.4° C
The plane reaches an altitude of 11,000 is 48.4° C
Which of the below images is a translation of.....
Answers
Answer:
I believe a
Step-by-step explanation:
1.)A pentagon is translated down and to the left. How many sides does the resulting figure have?
a)6
b)5
c)4
d)It is impossible to determine without knowing how far the pentagon was translated.
3.)Which of the following capital letters results in the same letter over again when reflected about a horizontal line?
a)D
b)S
c)Y
d)A
4.) A quadrilateral has vertices A, B, C, and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line, and D is 9 units away from the line. When quadrilateral ABCD is reflected about the line of reflection to create a new quadrilateral A′B′C′D′, which resulting point is closest to the line of reflection?
a)D′
b)B′
c)A′
d)C′
5.) A pre-image arrow pointing east is rotated 135° clockwise. In which direction is the image arrow pointing?
a)southwest
b)west
c)northwest
d)southeast
6.) A point is rotated 272° clockwise. What is the equivalent smallest positive counterclockwise rotation?
written answer
9.)A rotation by how many degrees represents six full rotations?
written answer
10.)What is true about the number of sides in any regular polygon that has at least one line of symmetry passing through two vertices?
a)The number of sides is prime.
b)The number of sides is odd.
c)The number of sides is a perfect square.
d)The number of sides is even.
14.)
15.)Which of the following series of transformations is equivalent to reflecting about the line y=−x?
a)reflecting about the y-axis and then rotating 90° counterclockwise
b)reflecting about the x-axis and then rotating 180° counterclockwise
c)reflecting about the y-axis and then rotating 180° counterclockwise
d)reflecting about the x-axis and then rotating 90° counterclockwise
16.)Which point maps to itself both when reflected about y=x and reflected about y=−x?
a)(−1,1)
b)(0,0)
c)(1,1)
d)(0,1)
17.)True or false: Sequences of rigid motions can be applied to any type of polygon.
a)This statement is false. Sequences of rigid motions can only be applied to polygons with fewer than 10 vertices.
b)This statement is false. Sequences of rigid motions can only be applied to convex polygons.
c)This statement is true.
d)This statement is false. No more than one rigid motion can be applied to any polygon.
18.) True or false: A sequence of rigid motions that maps a pre-image to an image must contain no fewer than two unique rigid motions for the pre-image and the image to be congruent.
a) This statement is false. If a sequence of rigid motions maps a pre-image to an image, the pre-image and the image are congruent no matter the details of the sequence of rigid motions.
b)This statement is true.
c) This statement is false. A sequence of rigid motions that maps a pre-image to an image must contain no more than two unique rigid motions for the pre-image and the image to be congruent.
d) This statement is false. A sequence of rigid motions that maps a pre-image to an image must contain exactly two unique rigid motions for the pre-image and the image to be congruent.
Answers
Answer:
1) b) 5
3) a) D
4) b) B'
5.) a)
6.) 88°
9) 2,160°
10.) d) The number of sides is even
15.) a) Reflecting about the y-axis and then rotating 90° counterclockwise
16) b) (0, 0)
17.) c) This statement is true
18.) a) This statement is false. If a sequence of rigid motions maps a pre-image to an image, the pre-image and the image are congruent no matter the details of the sequence of rigid motions
Step-by-step explanation:
1) b) 5 A translation is a form of rigid transformation that preserves the shape and dimensions of the pre-image in the image
3) a) D. The letter D has an horizontal line of symmetry
4) b) B'. The reflection of an object about a line is as far behind the mirror as the object is in front
5.) a) The arrow will point in the southwest direction
6.) 88°. A 272° rotation clockwise, is equivalent to a 360° - 272° rotation. anticlockwise
9) 2,160°.
One rotation = 360°, 6 rotations = 6 × 360° = 2,160°
10.) d) The number of sides is even
The existence of a line symmetry gives equal number of sides on both sided of the line of symmetry, which gives an even an even number of sides
15.) a) Reflecting about the y-axis and then rotating 90° counterclockwise
Reflecting across the line y = -x, gives (x, y) → (-y, -x)
Reflecting about the y axis gives, (x, y) → (x, -y))
Rotation 90° counterclockwise gives (x, -y) → (-y, -x)
16) b) (0, 0),
Reflection about the line y = x gives (x, y) → (y, x)
Reflection about the line y = -x gives (x, y) → (-y, -x)
When, (x, y) = (0, 0), (y, x) ≡ (-y, -x)
when
17.) c) This statement is true,
A rigid motion involves the equal change of all coordinates on the pre-image to form the image
18.) a) This statement is false. If a sequence of rigid motions maps a pre-image to an image, the pre-image and the image are congruent no matter the details of the sequence of rigid motions
The preimage and the image formed by a rigid transformation are always congruent
Please help with question 4 thank you !!
Answers
Answer:
I would have to go with B.) 129
Step-by-step explanation:
because 54+130+130+97 is 411 and 540-411 is 129
marking brainliest to whoever gives me the correct answer and i good explanation!
Answers
Answer:
Step-by-step explanation:
The triangle should equal 180 degrees. You already have 84+60= 144
Take that 144 with the equation of the other angle. 144-180 is 36
5x+1=36 subtract 1 from both sides
5x=35 divide by 5
x=7
check:
36 + 84+60= 180
Each school bus going on the Field Trip holds 36 students and 4 adults.There are 6 filled buses in the Field Trip.How many People are going on the Field Trip? Answer Now Please it is homework!
Answers
Answer:
240 peopleStep-by-step explanation:
Step one:
given data
Number of Students in a bus= 36
Number of Adults in a bus= 4
Total number of persons in a bus= 36+4= 40 persons
Step two:
in one bus there are 40 people
in 6 filled buses there are 6*40
=240 peoples.
Therefore there are 240 people going on the field trip
What is the volume of a hemisphere with a radius of 9.7 cm, rounded to the nearest tenth of a cubic centimeter? please i need help ill do a zoom call and i'll give you all my Branly points if uu help me.
Answers
Answer:
volume of hemisphere =1912.26cm^3
Step-by-step explanation:
radius(r)=9.7cm
now volume of hemisphere=(2/3)π[tex]r^{3}[/tex]
=(2/3)*(22/7)*(9.7)^3
=(2/3)*(22/7)*912.673
=(2/3)*2868.40086
=1912.26cm^3
The volume of a hemisphere is [tex]1910.52 cm^{3}[/tex].
What is volume of a hemisphere?
A hemisphere is half of a full sphere, we can calculate the volume of a hemisphere just by halving the volume of the complete sphere.
So, we can calculate the volume of a hemisphere by using the following formula,
[tex]$V=\frac{2}{3}\pi {{r}^{3}}$[/tex]
Here, [tex]r[/tex] is the radius, [tex]V[/tex] is the volume of hemisphere.
So,
It is given that the radius is [tex]9.7 cm[/tex].
We have to find [tex]V[/tex].
So,
[tex]$V=\frac{2}{3}\cdot 3.14\cdot {{\left( 9.7 \right)}^{3}}$[/tex]
[tex]V=1910.52[/tex]
Hence, the volume of hemisphere is [tex]$1910.52\text{ c}{{\text{m}}^{3}}$[/tex].
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Help me with this please
Answers
8x+y
Explanation:
3x+4y+5x-3y
Rearrange the terms so like terms are next to each other
3x+5x+4y-3y
Combine like terms
8x+y
I hope this helps!
A motorboat maintained a constant speed of 16 miles per hour relative to the water in going 55 miles upstream and then retuming. The total time for the tip was 8.0 hours. Use this information to find the speed of the current.
Answers
Answer:
6 mphStep-by-step explanation:
Let the speed of the current be c
Time upstream is
55/(16 + c)Time downstream is
55/(16 - c)Total time is 8 hours
55/(16 + c) + 55/(16 - c) = 855(16 -c + 16 + c)/(16 + c)(16 - c) = 855*32= 8*(16² - c²)220 = 256 - c²c² = 36c = 6 mphWhat decimal number does point A on the number line below represent?
A vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4. Only the whole numbers are labeled. Point A is plotted at the first tick mark below negative 1.00.
−0.75
0.75
−1.25
1.25
Answers
Answer:
I think it is 1.25
Step-by-step explanation:
Sorry if I'm wrong
Answer:
-1.25
Step-by-step explanation:
State if the given functions are inverses.
Answers
7) If x-2 is a factor of P(x)= x^2-5x+a then find the value of a
2
3
4
6
please answer
Answers
Answer:
a = 6
Step-by-step explanation:
Given that (x - 2) is a factor of P(x) , then P(2) = 0 , that is
P(2) = 2² - 5(2) + a = 0 , so
4 - 10 + a = 0
- 6 + a = 0 ( add 6 to both sides )
a = 6
Please help I'm not sure what to do first.
Answers
Answer:
17
Step-by-step explanation:
it has to be under 90 degrees
Of the 342 students in sixth grade, 178 are car riders. What percent of the
sixth grade students are car riders?
Answers
Answer:
164
Step-by-step explanation:
342-178=164 im not sure i understand it but i think thats the answer HOPE I HELPED
Answer:
About 52 percent are car riders.
Step-by-step explanation:
Using cross multiply, you should set up this: ?/100 178/342
Now you multiply 178 by 100 to get 17800
Next you divide 17800 by 342.
You get: 52.0467836257
Round to get 52.05 percent.
Hope this helps, have a nice day! (^-^)
6w-19+k when w=8 and k=2
Answers
6(8) - 19 + (2)
6(8) = 48
48 - 19
29 + 2 = 31
Answer:
f
Step-by-step explanation:
f
Mrs. Adams paid $33.60 for 3.2 pounds of Hawaiian coffee beans. What is the price per pound of the coffee beans?
Answers
Answer:
$10.5
Step-by-step explanation:
33.6/3.2(that is unit price formula total by one) which is 10.5
Hope this helps plz mark brainliest :D
Motocross The path that a motocross dirt bike rider follows during a jump is given
by y = -0.4x² + 4x + 10 where x is the horizontal distance (in feet) from the edge
of the ramp and y is the height (in feet). What is the maximum height of the rider
during the jump?
20
18
16
14
12
Height (feet)
10
6
4
2
0 2 4 6 8 10 12
Horizantal distance feet)
My
Answers
Answer:4.4x+10
Step-by-step explanation:
Write 33 x V3
as a
single power of 3.
Answers
Answer:
555555
Step-by-step explanation:
Which of the following algebraic expression represents the sum of 6 and one-fifth of x?
A.
6.2x
B.
0.2 + 6x
C.
6 + 0.2x
D.
(6 + x)0.2
Answers
Answer:
C. 6 + 0.2x
Step-by-step explanation:
6 + 1/5 x = 6 + 0.2x
Answer:
c
Step-by-step explanation:
even tho you called my question thicc..
