Answers
Answer:
41 square units
Step-by-step explanation:
this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.
for me this split would be
1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.
2. a right-angled triangle ABF (the same F as for 1.).
the area of a square is the square of a side length.
the side length in 1. is 4.
so, its area is 4×4 = 16 square units.
the area of a right-angled triangle is
a×b/2
with a and b being the sides enclosing the 90 degree angle.
in our case here a = BF = 10, b = FA = 5
so the area of the triangle is 10×5/2 = 25 square units.
so, the total area is 16 + 25 = 41 square units.
Related Questions
work out the m and c for the line: y=x-7
Answers
Answer:
Step-by-step explanation:
Compare the given y = x - 7 to the general slope-intercept formula
y = mx + b
Here the slope is 1 and the y-intercept, b, is -7.
Answer:
Step-by-step explanation:
Slope - y intercept form : y = mx +c
y = x - 7
m = 1
c = -7
On a set of blueprints, the length of a building is 16 inches. The actual building is 85 1/3 feet long. Which of the following is the correct scale?
1:64
1:5
1:32
1:12
Answers
Answer:
1 : 64
Step-by-step explanation:
We require the dimensions to be the same units
1 foot = 12 inches , then
85 [tex]\frac{1}{3}[/tex] feet = [tex]\frac{256}{3}[/tex] × 12 = 256 × 4 = 1024 inches
Scale is then
16 in : 1024 in ( divide both parts by 16 )
= 1 : 64
A table tennis ball has a radius of 2 cm. There are 3 table tennis balls stacked on top of one another in a cylinder that has the same diameter as the table tennis balls. The table tennis balls reach the top and bottom of the cylinder. How much volume is left inside the cylinder when the container is full?
Answers
Answer:
Volume left = 16π cm³ or 50.265 cm³
Step-by-step explanation:
Let's first find the surface area of the tennis ball.
S.A = (4/3)πr³
Radius of a ball = 2 cm
Thus;
S.A = (4/3)π(2)³
S.A = 32π/3
Since there are 3 radius balls that will make the cylinder full, then;
Surface area of 3 balls = 3 × 32π/3 = 32π
Now, formula for volume of cylinder is;
V = πr²h
r = 2 cm
h = 4 × 3 = 12 (since diameter of tennis ball is 4 cm)
Thus;
V = π × 2² × 12
V = 48π
Thus;
Volume left = Volume of cylinder - surface area of 3 balls = 48π - 32π = 16π cm³ or 50.265 cm³
Add.
3 7/11 + 9 6/11
Write your answer as a mixed number in simplest form.
Help
Answers
Answer:
13 2/11
Step-by-step explanation:
40/11+105/11
145/11
13 2/11
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{= \ 3\dfrac{7}{11}+ 9\dfrac{6}{11}}[/tex]
[tex]\mathsf{ 3\dfrac{7}{11} =\boxed{ \bf \dfrac{40}{11}}}[/tex]
[tex]\mathsf{9\dfrac{6}{11}= \boxed{\bf \dfrac{105}{11}}}[/tex]
[tex]\mathsf{= \ \dfrac{(40\times11)+(105\times11)}{(11\times11)}}[/tex]
[tex]\mathsf{40\times11=\boxed{\bf 440}}[/tex]
[tex]\mathsf{105\times11=\boxed{\bf 1,155}}[/tex]
[tex]\mathsf{=\ \dfrac{440+ 1,155}{11\times11} }[/tex]
[tex]\mathsf{11\times11=\boxed{\bf 121}}[/tex]
[tex]\mathsf{\dfrac{440+1,155}{121}}[/tex]
[tex]\mathsf{440 + 1,155=\boxed{\bf 1,595}}\leftarrow\mathsf{Your\ numerator\ (TOP\ number)}[/tex]
[tex]\mathsf{= \dfrac{1,595}{121}}[/tex]
[tex]\mathsf{= 13\dfrac{2}{11}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\boxed{\bf \dfrac{1,595}{121}\ or\ 13 \dfrac{2}{11}}\\\large\textsf{either one of those should work they equal the same}}}}\huge\checkmark}[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
[tex]\frak{Amphitrite1040:)}[/tex]
Jessie borrowed $1800 from the bank at a rate of 7.5% simple interest per year. Over the course of 4 years, how much interest did he pay?
Answers
Explanation:
7.5% of 1800 is 135
135 • 4 = 540
In circle F with mEHG = 42, find the mEFG.
Answers
Answer:
∠EFG=2×∠EHG
∠EFG=2×42
∠EFG=84°
so,m∠EFG=84°
------------------------
hope it helps...
have a nice day!!
22 dividido en 3 es?
Answers
Answer:
Step-by-step explanation:
7.3
Answer:
7.3
Step-by-step explanation:
22/3 = 22/3
(Decimal: 7.333333)
20 BRLAIFAST
NELS
PURCHASE
BAUNE OF
CUT CARD IN
COUPS
50
Jimmy was given a gift card to
his favorite breakfast restaurant.
What equation represents the
balance of the gift card in
dollars, y, when x amount of
breakfast meals are purchased?
35
20
6
5
Answers
Please help (add work/reasoning if you can)
Answers
Answer:
A
[tex]x + y > - 9 \\ - 7 + ( - 2) > - 9 \\ \\ 2x - 5y > - 4 \\ 2( - 7) - 5( - 2) \\ - 14 + 10 \\ > - 4[/tex]
Is this a function?
{(2, 9),(5, 8),(19, 9)}
Answers
Answer:
Yes
Step-by-step explanation:
As long as no x values repeat it is considered a function
In the given set no x values repeat therefore it is a function
Answer:
Yes.
Step-by-step explanation:
Each input has exactly one output. Therefore, this is indeed a function.
For a rollerblading party there are 50 tickets available. Jason buys 6 tickets and Heather buys three times as many as Jason bought. How many tickets are left to be sold?
Show your work
Answers
Answer:
There are 26 tickets left to be sold.
Step-by-step explanation:
Jason - 6 tickets
Heather - 6(3) = 18 tickets
6+18 = 24 tickets
50-24 = 26 tickets
which veal represents the functions ?
A. graph A only
B. graph D only
C. graph B and graph D
D. graph C and graph D
Answers
hola quien habla español bueno ya no Adios :)
Answer:
C.(B and D
Step-by-step explanation:
find the area of the irregular figure. 2in. 5in. 2in. 4in. 4in. 3in. 3in.
Answers
The shape can be split into 3 separate shapes:
On the left side a square 3 x 3 = 9 square inches.
The middle rectangle that is 2 x 5 = 10 square inches
The bottom rectangle which is 4 x 4 = 16 square inches
Total area = 9 + 10 + 16 = 35 square inches
Find the perimeter of the window to the nearest hundredth perimeter: about ft
Answers
Answer:
I would answer but I have no numbers to give the answer
Beth said the distance to school is 2.8 km. The actual distance is 3.5 km. What is the percent error
Answers
Answer:
20%
Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.
On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons of gas with us the average gas mileage for Stephanie car?
Answers
Answer:
0.0428 miles per gallon
Step-by-step explanation:
On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons
Given data
Distance driven = 280miles
Fuel used= 12 gallons
Hence the gas per mile is expressed as
Gas per mile= 12/280
Gas per mile= 0.0428 miles per gallon
to the girl who helped me <3 please help me again.
Answers
Answer:
x = 11
Step-by-step explanation:
<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel
<4 = <5
7x+5 = 5x+27
Subtract 5x from each side
7x+5-5x = 5x+27-5x
2x+5 = 27
Subtract 5 from each side
2x+5-5=27-5
2x =22
Divide by 2
2x/2 =22/2
x =11
Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answers
Answer:
x = 135°
Step-by-step explanation:
4 sides and the diagonal are the same.
Therefore, it is square with each interior angle = 90°
The diagonal bisects the interior angle to 45° , 45°
x + 45° = 180° [ straight line angle ]
x = 180 - 45 = 135°
Solve the equation 6x^2 + 15x + 3= 2x^2 to the nearest tenth.
Answers
Answer:
x = -0.2 and x = -3.5
Step-by-step explanation:
Combine like terms in the given equation, by subtracting 2x^2 from both sides:
6x^2 + 15x + 3 = 2x^2
-2x^2 = -2x^2
----------------------------------
4x^2 + 15x + 3 = 0
This is a quadratic equation. We'll find the two solutions using the quadratic equation
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.
Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177
and from that we know we'll find two real, unequal roots.
-15 ± √177
The roots are: x = ------------------- , or x = -0.2 and x = -3.5
8
15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.
Answers
Answer:
221cm squre
Step-by-step explanation:
How many feet is it from goal line to goal line on a regulation football field
that is 100 yards long? It is measured in the
A. tens
B. thousands
C. millions
D. hundreds
Answers
Answer:
D. hundreds
Step-by-step explanation:
if a football field is 100 yards long then it is 300 feet long and that is in the hundreds
What is the value of y?
O A. 36°
O B. 72°
C. 54°
O D. 1080
Answers
sorry but can u show a picture of y?
Answer:
but where is que plz show your que
the difference of two numbers is 13/24. if 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other, what are the 2 numbers?
Answers
Answer:
The two numbers are 11/8 and 5/6
Step-by-step explanation:
Let the unknown numbers be x and y
Given that the difference of two numbers is 13/24
x - y = 13/24
and that 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other
11/12 * 1/x = 5/9 * 1/y
11/12x = 5/9y
cross multiply
12x * 5 = 11* 9y
60x = 99y
x = 99y/60
= 33y/20
substitute into x - y = 13/24
33y/20 - y = 13/24
13y/20 = 13/24
24y = 20
y = 20/24
= 5/6
x = 33y/20
= 33 *5/20*6
= 11/8
What is The answer , what goes in the QR
Answers
may be QR also equal to 34
evaluate the expression 4(n+5)-8 when n =1/4 and m=0.5
Answers
Answer:
17
Step-by-step explanation:
Given
4(n + 5) - 8m ← substitute n = 0.25, m = 0.5 into the expression
= 4(0.25 + 5) - 8(0.5)
= 4(5.25) - 4
= 21 - 4
= 17
plzz help me with the correct ans find x
Answers
Answer:
15
Step-by-step explanation:
Since, triangle ABC is the enlargement of triangle XYZ.
[tex] \therefore \triangle ABC \sim \triangle XYZ[/tex]
So, corresponding sides of both the triangles would be in proportion.
[tex] \therefore \frac{x}{6}=\frac{25}{10}[/tex]
[tex] \therefore x= \frac{6\times 25}{10}[/tex]
[tex] \therefore x =\frac{150}{10}[/tex]
[tex] \therefore x = 15[/tex]
15 POINTS FOR WHO WILL ANSWER
You are going on a road trip with your family in the winter break, like you did last year .Your family is wondering which car you used for the trip was faster, your mother’s sedan car or your father’s car SUV
Last year, when your father filled the tank, he recorded the miles on the SUV as 24,033 miles. He paid 83.53$ to fill up the empty gas tank of the SUV. This year, You’ve decided to take your mother’s sedan car. When she filled the tank, it recorded the miles as 15,004. It took 71.98$ to fill up the vehicle’s empty gas tank
Which car is faster? And use the graph
Answers
Answer:
The 24,003 is the fastest
The distance around a circular park is 176 yards. What is the area of the park? Use 22/7 for π.
Answers
Answer:
2464 yd²
Step-by-step explanation:
Use the circle circumference formula: 2πr
2·[tex]\frac{22}{7}[/tex]·r=176
[tex]\frac{44}{7}[/tex]r=176
r=176·[tex]\frac{7}{44}[/tex]
r=28
Area of circle formula: πr²
[tex]\frac{22}{7}[/tex]·r²
[tex]\frac{22}{7}[/tex]·28²
[tex]\frac{22}{7}[/tex]·784
=2464 yd²
Help please help 50 points!!!!! no links or i will report if you know how to solve just answeer pllllease !!
Answers
Answer:
39.6 degrees
Step-by-step explanation:
There are 176 baseball answers out of 1600
There are 360 degrees in a circle
Multiply the fraction of baseball responses by the degrees in a circle
176/1600 * 360
198/5
39.6 degrees
Simplify (6x^2 − 8x) ÷ (2x) step by step
a. 2x − 3
b. 2x + 3
c. 3x − 4
d. 3x − 8
Answers
Answer:
3x - 4
Step-by-step explanation:
(6x^2 − 8x) ÷ (2x) =
(6x^2)/2x - 8x/2x =
3x - 4
Answer:
(C). 3x - 4
Step-by-step explanation:
It will be easily to break this down so,
6/2=3
x^2/x=x
therefore, 6x^2/2x = 3x
Minus stay minus
8/2 = 4
x/x=1
therefore, 8x/2x=4
If we put it all together,
3x - 4
if this helps you, please give brainliest!
