Find the area. Round to the nearest hundredth when necessary. Be sure you are showing all work to find each figure.
Answers
Additional requirements in figure :-
Mark point :-
ABCDEDraw a straight line from E to AB .
And the point line joins mark it as "F" .
It will generate quadrilateral FBCD.
we get to know In quadrilateral left angle is 90°
How ?
{
proof :
As three angles are given 90° So third angle will also be 90°
Reason:
→ Sum of interior angles = 2 (no. of angles - 2 × 180°
→Sum of interior angles = (4-2 × 180°)
→Sum of interior angles = (2 × 180°)
→Sum of interior angles = 360°
}
✿Now let the left angle be x
90° +90° + 90° + x = 360° 180° + 90° + x = 360°270° + x = 360x = 360° - 270°x = 90°we know :
Area of rectangle = Length × Breadth
STEPS :
Area of rectangle = Length × BreadthArea of rectangle = 7 × 8Area of rectangle = 56 in²Now let's find EF :
EF = BD - ECEF = 7 - 4 EF = 3 inTo find A
F :
A•F = AB - CDA•F = 12 - 8A•F = 4 inIn triangle AFE:
EF is base of triangle A•F is height of triangleWe know :
Area of triangle =( Height × Base)/2
Steps :
Area of triangle = (Height × Base)/2Area of triangle = (4 × 3)/2Area of triangle = 12/2Area of triangle = 6 in²To find area of figure :
Area of figure = Area of rectangle + Area of triangleArea of figure = 56 + 6Area of figure = 62 in²______________________
~WindyMint
Answer:
[tex]\displaystyle 62\:in.^2[/tex]
Step-by-step explanation:
▽ [tex]\displaystyle \frac{hb}{2} = A, \frac{1}{2}bh = A, or\:\frac{1}{2}hb = A[/tex]
▯ [tex]\displaystyle hb = A[/tex]
All edges meet at right angles, therefore resulting in this:
[tex]\displaystyle 62 = 56 + 6 \Rightarrow 62 = 7 \times 8 + 4 \times 1\frac{1}{2}[/tex]
I am joyous to assist you at any time.
Related Questions
Which is the solution to the inequality?
y + 15 less-than 3
Answers
Hey there!
"less than" is "<"
y+15<3
Solve it:
y<3-15
y<-12
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
Answer:
y < -12
Step-by-step explanation:
Edge
A toy car launches off a ramp with a height of 6 feet with an upward velocity of 10 feet per second. The function h = -16t^2 +10t +6 gives the height in feet of the car after t seconds. After how many seconds does the car land on the ground?
Answers
On factoring, the value of t is 1. This shows that the car will land on the ground after 1 sec.
Solving quadratic functionsQuadratic functions are functions having a leading degree of 2.
Given the function height in feet of the car after t seconds expressed as
h = -16t^2 +10t +6
The height of the car on the ground is zero, hence:
16t^2 -10t -6 = 0
8t^2 - 5t - 3 = 0
Factorize the quadratic function
8t^2 - 5t - 3 = 0
On factoring, the value of t is 1. This shows that the car will land on the ground after 1 sec.
Leearn more on functions here: https://brainly.com/question/10439235
What are the factors of 2x2 3x – 54? Select two options. 2x – 9 2x – 6 2x 6 x – 6 x 6.
Answers
The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).
The given expression is: [tex]2x^{2} +3x-54[/tex]
What is a factor?A factor is a number that divides another number leaving no remainder.
We can rewrite the given expression as:
[tex]2x^{2} +12x-9x-54[/tex] (middle term has been splitted)
Take 2 as common from first two terms while take -9 as common from last two terms.
[tex]2x(x+6)-9(x+6)[/tex]
Take (x+6) as common
[tex](x+6) (2x-9)[/tex]
So, we got the factors (x+6) and (2x-9)
Therefore, The factors of expression [tex]2x^{2} +3x-54[/tex] are (x+6) and (2x-9).
To get more about factors visit:
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Please someoene help me I am so confused
WILL GIVE BRAINLIEST
Answers
Answer: 42.0
Step-by-step explanation:
what is x (its a parralleligram)
Answers
Check the picture below.
Find the distance between the two points
☟ ︎Photo down below ☟
Answers
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's use distance formula ~
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{(2 - ( - 4)) {}^{2} + (0 - 1) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{(2 + 4) {}^{2} + ( - 1) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{ {}^{} 36+ 1{}^{} } [/tex]
[tex]\qquad \sf \dashrightarrow \: d = \sqrt{ {}^{} 37{}^{} } [/tex]
Therefore, the required distance is [tex]\sf \sqrt{37}[/tex] units
15 points do all pls
Answers
2. 12
3. 9
4. 5
5. 5
6. 12
I believe
Evaluate the expression for p = 3.
2p =
Answers
Answer:
6
Step-by-step explanation:
2 x 3
everyone please answer one of these my birthday tuesday but i might be in trouble if i fail this :(
Answers
Answer:
11. b
10.d
9.c
7.b
1.d
the rest I can't see clearly
please give brainiest
Step-by-step explanation:
11.
3/x-4=7/x
*cross multiply
3x=7 (x-4)
3x=7x-28
28=7x-3x
28=4x
x=7
10.
SOHCAHTOA
Cos☆=11/14
cos^-1 (11/14)
☆=38.21 degrees
9.
MLN CONGRUENT TO WBN
ML/WB=LN/BN=MN/WN
LN/BN=10/6
ML/WB
24/x=10/6
24x6=10x
144÷10
=14.4
6^2+14.4^2
=243.36
squareroot
=15.6
work out the total length of the wire two wire shapes make an earring. the shapes are a circle with radius 21mm and a quarter circle 6mm. work out the total length of the wire in the earring. give your answer in the form a pie +b where a and b are integers.
Answers
Answer:
45n+12mm
Step-by-step explanation:
I hope this is right if it is right pls mark me as brainliest and learn well
the value of a and b will be 45 and 0 for the given expression.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given, the shapes are a circle with a radius of 21mm and a quarter circle of 6mm.
Since Radius = 21 cm
the radius of the circle/ radius of the quarter circle = 7/2
Total length = Sum of the circumference of both the circle
Since the formula for the circumference of a circle:
C = 2 * pi * radius
Total length = 2* pi* r + 1/4 * (2 * pi * r')
Total length = 2 *pi * 21 + pi * 3
Total length = π(42 + 3)
total length = 45π + 0
therefore, the value of a and b will be 45 and 0 for the given expression.
Learn more about proportionalities here:
https://brainly.com/question/3254974
#SPJ2
M is the midpoint of AB. If the coordinates of A are (-1,5), and the coordinates of M are (3,3), what are the coordinates of B?
I need the answer asap!
Answers
Answer:
B = (5, 1).
Step-by-step explanation:
From the formula for the midpoint of a line :-
(-1 + x)/2 , (5 + y)/2 = (6/2, 6/2) where x and y are the coordinates of B.
so (-1 + x)/2 = 6/2
-1 + x = 6
x = 5.
and (5 + y)/2 = 6/2
5 + y = 6
y = 1.
Write the equation of the line that passes through the point (2, -1) and has a slope of -3.
Answers
Answer:
Y=-3x+5Step-by-step explanation:
slope is -3/1
Slope is Rise/Run
meaning 3 down and 1 right
so in this case the down means the Y-axis
and the right means the x-axis
so lets put out some points.
(2,-1)
Then 1 right and down 3
(3, -4)
(4,-7)
and soo on, but we want to fin the point where x is zero.
Why?
Because that is where the y-Intercept is at.
Slope Intercept form is y=mx+b
Where m is the slope
And b is the y- Intercept
Soooo
Let's work backwards
Instead of Right 1 and Down 3 lets do
Left 1 and Up 3
And we will be starting with our original point
(2,-1)
then left 1, Up 3
2-1=1
-1+3=2
soo...
(1,2)
then again
(0,5)
That is our Y-intercept.
Now lets put all of it together.
Y=Mx+B
M=Slope
B=Y-Intercept
Y=-3x+5
You're welcome...
SonicIsCoool, if you need more help im at your service.
PLEASE HELPP LOOK AT PICTURE TO ANSWER QUESTION
Answers
Answer:
2
Step-by-step explanation:
3^2 = 9
What are the solutions of the equation (x 2)2 – 2(x 2) – 15 = 0? use u substitution to solve. x = –7 and x = 1 x = –5 and x = 3 x = –3 and x = 5 x = –1 and x = 7
Answers
The solutions to the equation [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex] are 3 and -5.
What is the solution to the equation?To solve any equation is to find the solution of the given equation which satisfied the equation.
The given expression is [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex]
let u = (x +2)
then the equation becomes
[tex]\rm u^{2} - 2u - 15 = 0[/tex]
by factorizing, we get
(u + 3)(u - 5) = 0
u + 3 = 0, u = -3
u - 5 = 0, u = 5
Since, u = x + 2
So, x + 2 = 5, x = 3
x + 2 = -3, x = -5
Therefore, the solutions to the equation are 3 and -5.
Learn more about the solution of the equation ;
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I’ll give Brainly but can somebody help me with this?
Answers
Answer:
give me 2 minutes and I will
Ill give brainliest
and 45 points
Answers
Answer:
B. 2 3/4 lbs
Step-by-step explanation:
there ar 16 ticks on a scale, the pointer is on 12, meaning it is 12/16, whihc is answer b
Answer:
its b
Step-by-step explanation:
looked it up
What is the surface area?
10 ft
8 ft
10 ft
12 ft
10 ft
Answers
Answer:
12×8/2=48
10×10=100
2(48)+3(100)
96+300= 396ft²
What is the product ?
(X-3)(2x^2-5x+1)
Answers
[tex](x - 3)(2x {}^{2} - 5x + 1)[/tex]
[tex]2x {}^{3} - 5x {}^{2} + x - 6x {}^{2} + 15x - 3 [/tex]
[tex]2x {}^{3} - 11x {}^{2} + 16x - 3[/tex]
What is the volume of a hemisphere with a radius of 3.6cm, rounded to the nearest tenth of a cubic centimeter?
Answers
Answer:
V(sphere) =
[tex] \frac{4 }{3} \pi \:{r}^{3} = 195.43 \\ [/tex]
V(hemisphere) = V(sphere)/2 = 97.715 = 97.7
In a class of 36 students, 29 do mathematics and 20 do chemistry. If 5 students do neither, how many students do chemistry but not mathematics?
Answers
Answer:
2 students do Chemistry, but not Mathematics
Step-by-step explanation:
2 students do Chemistry, but not Mathematics
*View attached table*
Hope this helps!
solve pls brainliest
Answers
Answer:
[tex] 1 \frac{2}{3}\: liters [/tex]
Step-by-step explanation:
[tex]V_{soda}[/tex] in one bottle = 5/9 liters
No of bottles = 3
Total volume of soda
[tex] = \frac{5}{9} \times 3 \\ \\ = \frac{5}{3} \\ \\ = 1 \frac{2}{3} \: liters[/tex]
Jamal would like to purchase a pair of shoes for $80.00. At the store he can spin the spinner below to receive a discount
Answers
John paid $75 for a pair of shoe that cost $100 at a discount of 25 percent.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let us assume that the shoe cost $100, he spins the spinner and gets a discount of 25%, hence:
Money paid = 100 - 25% of 100
Money paid = 100 - 25 = $75
John paid $75 for a pair of shoe that cost $100 at a discount of 25 percent.
Find out more on equation at: https://brainly.com/question/2972832
quadrilateral ABCD is a kita with diagonals AC and BD. determine the area of a kita with diagonals BD = 8 units and AC = 12 units
Answers
[tex]\mathsf\blue{♧ANSWER♧}[/tex]
[tex] \mathsf \orange{ \frac{x \times y}{2}} [/tex]
[tex] \mathsf \green{ \frac{8 \times 12}{2} }[/tex]
[tex] \mathsf \orange{ \frac{96}{2} }[/tex]
[tex] \mathsf \green{48 \: square \: units}[/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex]\qquad\qquad\qquad \large\underline{ \boxed{ \sf{✰\: Information }}}[/tex]
★ Given➣A quadrilateral ABCD shape (kite) with diagonals "AC" and "BD"➣ diagonal BD is of 8units ➣ diagonal AC is of 12units✜ Now let's see about ques ✜question is asking about to find area of kite with the above infosoo we know that[tex]{ \boxed{ ✟ \: \underline{ \boxed{ \sf \: Area \: of \: kite = \frac{ d_1 \times d_2}{2} \: or \blue{ \: \frac{1}{2} \times d_1 \times d_2}}}✟ }}[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
✜ Let's substitute value according to formula ✜[tex] \qquad \rm{➛Area \: of \: kite = \frac{BD×AC}{2} }[/tex]
[tex]\qquad \rm{➛Area \: of \: kite = \frac{8×12}{2} } \\ \qquad \rm{➛Area \: of \: kite = \frac{ \cancel{96}}{ \cancel2} } \\ \qquad \rm{➛Area \: of \: kite = 48 {units}^{2} }[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★Hence area of kite with diagonals BD = 8 units and AC = 12 units is
[tex]\qquad\qquad\qquad{ \boxed{↪ \underline{ \boxed{ \sf{\: 48 {units}^{2} \green✓ }}}↩}}[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★ More info regarding this topic ★
➣ Quadrilateral:- A polygon with four sides,sum of it's interior angle is of 360⁰➣ Kite is also a quadrilateral because of four sides.Kite is a quadrilateral which is proved Euclidean geometry.[tex]\rule{80mm}{2.5pt}[/tex]
Hope it helps !
A cyclist bikes a certain distance in 25 minutes. how long would it take a pedestrian to travel the same distance if he travels 2 2/5 times slower than the cyclist?answer = ___________ minutes and ___________ hours.
Answers
Using proportions, it is found that it would take 1 hour for the pedestrian to travel the same distance.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the cyclist takes 25 minutes, while the pedestrian's time is [tex]2\frac{2}{5} = \frac{12}{5}[/tex] slower(greater), hence his time is given by:
[tex]t = \frac{12}{5} \times 25 = 12 \times 5 = 60[/tex]
It would take 1 hour for the pedestrian to travel the same distance.
More can be learned about proportions at https://brainly.com/question/24372153
What are the missing operations?
A. 48 ? (-8) = (-6)
B. (-40) ? 8 =( -5)
C. 12 ? (-2) = 14
D. 18 ? (-12) = 6
E. 18 ? (-20) = -2
F. 22 ? (-0.5) = -11
Answers
48 / -8 = -6
-40 / 8 = -5
12 - (-2) = 14
18 - (-12) = 6
18 - (-20) = -2
22 x (-0.5) = 11
Which sport shows the greatest variability in players’ heights? which sport shows the least variability?
Answers
Pease help me
I will give BRAINLY
THANKS FIVE STARS
Answers
Answer:
23, 25, 27, 29
Step-by-step explanation:
14*2 = 28, 28-5=23
15*2=30, 30-5=25
16*2=32, 32-4=27
17*2=34, 34-5=29
[tex]14 \times 2 - 5[/tex]
[tex]28 - 5[/tex]
[tex]23[/tex]
[tex]15 \times 2 - 5[/tex]
[tex]30 - 5[/tex]
[tex]25[/tex]
[tex]16 \times 2 - 5[/tex]
[tex]32 - 5[/tex]
[tex]27[/tex]
[tex]17 \times 2 - 5[/tex]
[tex]34 - 5[/tex]
[tex]29[/tex]
We can denote these using the function defined by:f(x)=2x-5The steps to finding y, for each x are done above!!
What is the angle of rotation for point G mapped to point H?
90° clockwise
72° clockwise
72° counterclockwise
90° counterclockwise
Answers
The rotation of point G to point H is an illustration of a circular movement
The rotation that maps point G to point H is 72 degrees clockwise
How to determine the rotation rule?From the figure, we have the following parameters:
Number of sections (n) = 5
Angle at the center = 360
The angle of rotation is then calculated as:
Rotation = 360/5
Evaluate
Rotation = 72
Point H is to the left of point G.
This represents a clockwise direction
Hence, the rotation that maps point G to point H is 72 degrees clockwise
Read more about rotation at:
https://brainly.com/question/4289712
Answer:
72° clockwise
Step-by-step explanation:
Marvin is saving $5.25 a week to buy a new video game that costs 69.15. How many
weeks will he have to save to buy the game?
Answers
Answer: 10.62 irrational
Step-by-step explanation: You can divide 69.15 by 5.25 which equals 74.4 then divide by 7 which equals 10.62
Find the numerator ?/2 > 1/5