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
line c has a slope of -9/2. line d is parallel to like c. what is the slope of line d?
Answers
Answer:
-9/2
Step-by-step explanation:
parallel lines have the same slope/gradient
I need helppppppppppppppppppp
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Answer:
See explanation
Step-by-step explanation:
look at the photo
I hope it will help you <3
Answer:
Step-by-step explanation:
*The other person that answered may be correct, but this was my way of solving the functions.
(100 POINTS !!) Identify the vertex of the parabola.
Answers
Answer:
(-4,0)
Step-by-step explanation:
A teacher of a dance class collected data and created a histogram as shown.
Which statement accurately describes the information in the graph?
A.
The data describes the ages of the teachers of an art class.
B.
The data describes the ages of the students in an art class.
C.
The data describes the ages of the students in a dance class.
D.
The data describes the ages of the teachers of a dance class.
Answers
Answer:
C
Step-by-step explanation:
this was quite the toungue twister
Write the expression. Then, complete the statements.
twice the difference of a number and seven
The word "twice" means
.
The words "the difference of" indicate
.
The expression is written as
Answers
Answer:
The equation is 2(x-7)
Hope it is correct
Answer: Write the expression. Then, Complete the statements.
.
.
twice the difference of a number and seven
Step-by-step explanation:
1. multiplication by 2
2. subtraction in parentheses
3. 2(n-7)
Write the polar equation 0= pi/3
Answers
Answer:
1
(
π
3
)
)
Step-by-step explanation:
Explanation:
Substitute
tan
(
y
x
)
for
θ
tan
(
y
x
)
=
π
3
Obtain
y
x
on the left by using the inverse tangent on both sides:
tan
−
1
(
tan
(
y
x
)
)
=
tan
−
1
(
π
3
)
y
x
=
tan
−
1
(
π
3
)
Multiply both sides by x:
y
=
(
tan
−
1
(
π
3
)
)
x
The regular admission price to an amusement park is $28. You have a
coupon for 25% off the regular admission. Find the total cost of admission
to the park when the sales tax is 6% of the reduced price.
Answers
Answer:
$22.26
Step-by-step explanation:
To solve, all we need to do is 28(1-.25) to get 21, then we set up the equation 21(1+.03) and we get our total for the price.
we subtract in the first place, because it is a discount, and we add in the second one because it is a sales tax.
please rate and mark as brainlest.
When solving, at what point do you know that your solutions are imaginary? Does x^2 +9 =0 have real or imaginary solutions? How do you know?
Answers
Answer:
Real solutions
Step-by-step explanation:
I know that because I am smart
x= root of negative 9
this means the answer is imaginary because a root of a number CAN’T be negative, which makes root of negative 9 an imaginary number therefore we call it an imaginary answer
To train for a marathon, Lily plans on running 4 miles per day for the first week and then increasing that daily distance by 1 mile each of the following weeks.
Which of these equations represent the problem.
Answers
The equation which represent the problem is given by an = 4 + 1.00(n - 1)
How to write equation?Number if miles Lily run per day first week = 4 miles
Additional miles per day each week = 1 mile
let
n = total miles
The equation:
an = 4 + 1.00(n - 1)
When n = week 2an = 4 + 1(n - 1)
= 4 + 1(2 - 1)
= 4 + 1(1)
= 4 + 1
= 5 miles
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18. Find the surface area of the prism.
Answers
Step-by-step explanation:
the total surface area is the sum of the individual areas on the surface.
we have
2 triangles (top and bottom)
1 front rectangle
2 rectangles in the back
the area of a triangle is
baseline × height / 2
1.7 × 0.5 / 2 = 0.425 in²
both triangles together : 2×0.425 = 0.85 in²
the area of a rectangle is
length × width
so, the front is
1.7 × 1.5 = 2.55 in²
one back rectangle is
1 × 1.5 = 1.5 in²
both back areas are 2×1.5 = 3 in²
so, the total surface area is
0.85 + 2.55 + 3 = 6.4 in²
Solve for h.
2 < -19 - 7h
Answers
Answer:
h < -3
Step-by-step explanation:
2 < -19 - 7h
2 + 19 < -7h
21 < - 7h
21/7 < -h
bringing -h to the left
-h > 3
changing the sign to positive h
h < -3
solution set : {h < -3}
Hope that helps...
Rebecca has $128 to spend. She
spends $78 on a running shoes.
Tank tops cost $12.50 each. Write and
solve an inequality to find how many
tank tops she can buy.
Answers
Answer:
12.5x =10x+10
12.50x=x10+10
subtract 10x from both sides
2.5x=10
divide by 2.5
x=4
Multiplication and __are inverse operations. addition subtraction O division
Answers
Answer:
Division is the opposite of multiplication
Step-by-step explanation:
Opposites:
Addition and subtraction
multiplication and division
differentiation and integration.
What is the slope of the line that is parallel to the line whose equation is 4x+y-2=0?
Answers
Answer:
4x+y-4=0
Step-by-step explanation: For an equation to be parallel to another all it needs is the same slope but a different y-intercept. So you can really other equations like 4x+y-3=0, 4x+y-5=0, 4x+y-6=0, etc. can be the answer to your problem.
Geometry shapes I need help asap
Answers
how much money is 1 quarter,1 dime and 1 nickle?
Answers
40 ¢
0Step-by-step explanation: 25 + 10 + 5 = 40
answer:40
Step-by-step explanation:
a quarter is 25
a dime is 10
a nickle is 5
25+10+5=40
Mrs. o'brien used a compass to draw two circles on a coordinate plane. circle a is centered at (3,-1)
and has a radius of 4 units. circle b is centered at (4, 5) and has a
radius of 3 units. select all of the
transformations that can be performed on circle a to prove that it is similar to circle b.
Answers
To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4
What is transformation?
Transformation is the movement of a point from its initial location to a new location.
Types of transformation are rotation, translation, dilation and reflection.
To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4
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Is the following relation a function yes or no
Answers
It's function of sinus
...........
The area of a rectangle is 45 m squared, and the length is 6 m less than three times the width. Find the dimensions of the rectangle.
Answers
Answer:
Step-by-step explanation:
x = y - 4
-2x + 3y= 6
Solve each system by equation
Answers
Answer:
Point form=(-6,-2)
Equation Form= x=-6, y=-2
Step-by-step explanation:
Miranda's heart beats 3 times every 2 secounds. At that rate, how many times does her heart beat in 1 minute?
Answers
30 x 3 = 90
Answer is 90
100 POINTS !!! Find the axis of symmetry and the vertex of the graph of y = 6x2 − 24x + 11. x = 2; (2, −13) x = 4; (4, 11) x = −2; (−2, 83) x = −4; (−4, −11)
Answers
Let's see
[tex]\\ \rm\rightarrowtail y=6x^2-25x+11[/tex]
Graph attached
vertex(-2,-13)Axis of symmetry
x=-2Answer:
axis of symmetry: x = 2
vertex: (-2, 13)
Step-by-step explanation:
Given function
[tex]\sf y=6x^2-24x+11[/tex]
Vertex form
[tex]\sf y=a(x-h)^2+k[/tex]
where (h, k) is the vertex
Expand vertex form:
[tex]\sf \implies y=ax^2-2ahx+ah^2+k[/tex]
Compare coefficients of expanded vertex form with given function:
coefficient of [tex]\sf x^2[/tex]:
⇒ a = 6
coefficient of [tex]\sf x[/tex]:
⇒ -2ah = -24
⇒ ah = 12
⇒ 6h = 12
⇒ h = 2
constant:
⇒ [tex]\sf ah^2+k=11[/tex]
⇒ [tex]\sf 6 \cdot 2^2+k=11[/tex]
⇒ [tex]\sf 24+k=11[/tex]
⇒ [tex]\sf k=-13[/tex]
Vertex
Vertex = (2, -13)
Axis of symmetry
Axis of symmetry is when x = h
Therefore, axis of symmetry is x = 2
What is the measure of the
missing angle?
64°
97°
?
116°
O
o
78°
72°
80°
83°
Answers
Answer:
? = 83°
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360°
? + 116° + 97° + 64° = 360° , that is
? + 277° = 360° ( subtract 277° from both sides )
? = 83°
Answer:
it is an obtuse angle so that should get rid of some of the answer choices
Step-by-step explanation:
The equation y=37.8xy=37.8x represents the number of miles, yy, that Julian can drive his car for every xx gallons of gas. Find the rate of change.
Answers
The rate of change of Julian given the equation y = 37.8x is 37.8
How to find the rate of changeThe equation:
y = 37.8x
where,
y = number of miles that Julian can drivex = gallons of gas used37.8 = constant = rate of changeIf x = 3 gallons
y = 37.8x
= 37.8 × 3
y = 113.4 miles
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A new car is purchased for $31,000 and over time its value depreciates by one half
every 6.5 years. How long, to the nearest tenth of a year, would it take for the value
of the car to be $3,800?
Answers
Using an exponential function, it is found that it would take 19.68 years for the value of the car to be $3,800.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal, after each n years.In this problem:
The initial value is of $31,000, hence A(0) = 31000.It depreciates by one-half every 6.5 years, hence r = 0.5, n = 6.5.Then, the equation is:
[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]
[tex]A(t) = 31000(1 - 0.5)^\frac{t}{6.5}[/tex]
[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]
The value would be of $3,800 at t for which A(t) = 3800, hence:
[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]
[tex]3800 = 31000(0.5)^\frac{t}{6.5}[/tex]
[tex](0.5)^\frac{t}{6.5} = \frac{3800}{31000}[/tex]
[tex](0.5)^\frac{t}{6.5} = 0.12258064516[/tex]
[tex]\log{(0.5)^\frac{t}{6.5}} = \log{0.12258064516}[/tex]
[tex]\frac{t}{6.5}\log{0.5} = \log{0.12258064516}[/tex]
[tex]t = 6.5\frac{\log{0.12258064516}}{\log{0.5}}[/tex]
t = 19.68.
It would take 19.68 years for the value of the car to be $3,800.
More can be learned about exponential functions at https://brainly.com/question/25537936
Answer:
t≈19.7
Step-by-step explanation:
I do not have one, I apologize.
Find the area. What type of triangle is triangle ABC?
Answers
Answer:
Isosceles right triangles are half squares, and if the length of one side is 6cm, that is the length of the other side since both segments are equal. Take the formula to find the area of a square (base times height), apply the side measurement of the triangle (6cm) and divide it in half to find the area of half of it (therefore, finding the area of the isosceles triangle.) (6x6) / 26x6 = 3636 / 2 = 18 The area of the isosceles triangle is 18 square centimeters.
Step-by-step explanation:
Solve and show the answer in simplest terms 1 over 8 + 1 over 2 + 1 over 4
Answers
Answer:
7 over 8
Step-by-step explanation:
Change all the numerators over the least common denominator. 1+4+2 over 8.
answer quickly please
Answers
The line TU is tangent to the circle whose center is at point S
The measure of angle U is 84 degrees
How to determine angle U?From the question, we understand that:
Angle STV = 84 degreesTU is tangent to circle SThis second highlight means that:
Angle STU = 90 degrees
And:
Angle STU = Angle STV + Angle VTU
This gives
90 = 84 + Angle VTU
Subtract 84 from both sides
Angle VTU = 6
The measure of angle U is then calculated as:
U + Angle VTU + Angle UVT = 180 ------ sum of angles in a triangle
This gives
U + 6 + 90= 180
Evaluate the sum
U + 96 = 180
Subtract 96 from both sides
U = 84
Hence, the measure of angle U is 84 degrees
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(PLS HELPP EASYY POINTS )
A company makes piñatas for special events such as birthday parties. One of their piñatas is in the form of a cone shaped hat. How much space do they have inside the piñata for candy if the piñata is 2 feet tall and 1.5 feet wide? Round to the nearest hundredth
Answers
I don't recognize this problem, please make sure the input is complete.
help me please!! will choose brainlyest if you get it right