Answer:
about 52.1 in.
Step-by-step explanation:
PM=PE=5 inches, PR=4 inches, and OP=19 inches.
Since the figure is a kite, the diagonals ME and OR are perpendicular and form right triangles with their hypotenuses forming the sides of the kite, OM, MR, RE, and EO.
The figure shows the same kite O M R E as in the beginning of the task. Diagonal O R is perpendicular to diagonal M E.
Use the Pythagorean Theorem to calculate the length of OM.
OM=OP2+PM2−−−−−−−−−−√
Substitute 19 for OP and 5 for PM.
OM=192+52−−−−−−−√
=361+25−−−−−−−√
=386−−−√
Therefore, OM=386−−−√ in.
By the definition of a kite, OM≅EO. So, EO is also equal to 386−−−√ inches.
Use the Pythagorean Theorem to calculate the length of MR.
MR=PM2+PR2−−−−−−−−−−√
Substitute 5 for PM and 4 for PR.
MR=52+42−−−−−−√
=25+16−−−−−−√
=41−−√
Therefore, MR=41−−√ in.
By the definition of a kite, MR≅RE. So, RE is also equal to 41−−√ inches.
The figure shows the same kite O M R E as in the beginning of the task. Sides O M and E O are square root of 386 inches long. Sides M R and R E are square root of 41 inches long.
The perimeter of the kite is the sum of the four sides.
Perimeter of OMRE=OM+MR+RE+EO
=386−−−√+41−−√+41−−√+386−−−√
=2386−−−√+241−−√
Use a calculator to approximate.
Perimeter of OMRE≈52.1 in.
So, the perimeter of OMRE is about 52.1 inches.
Therefore, about 52.1 inches of binding are needed to cover the edges of the kite.
what is the solution to the system of equations? please help im struggling really bad ):
Answer:
[tex] - 11 \frac{1}{2} [/tex]
Step-by-step explanation:
8x + 5y = 7
4x - 5y = 11
If you all it all up we have
8x + 4x +5y - 5y = 18
12x=18
x=18/12=1.5=3/2 = 1 whole number 1 over 2(1 1/2)
subtituting the value of x into equation 1(8x + 5y = 7)
8(1.5) + 5y = 7
5y=7-12
5y = -5
y=-5/5
y= -1
Lance is drawing a triangle. He draws one side that is 8 inches long and another side that is 5 inches
long. Which one of the following could be the third side?
Answer:
6 inches
Step-by-step explanation:
(8-5)>x>(5+8)
between which two consecutive integers
[tex] \sqrt{72} [/tex]
lies
Answer:
8 and 9
Step-by-step explanation:
Find the 2 perfect square either side of 72 , that is
64 < 72 < 81 , then
[tex]\sqrt{64}[/tex] < [tex]\sqrt{72}[/tex] < [tex]\sqrt{81}[/tex]
8 < [tex]\sqrt{72}[/tex] < 9
The height of a football y in feet is given
by the function y=-16x² + 56x+ 2
where x is the time in seconds after the
ball was kicked. This function is
graphed below. How long was the
football in the air?
(Show work please if possible.)
To whom shall answer...
BY THE POWER INVESTED IN ME!! I SHALL.. MARK THE BRAINLIEST!!!
Answer:
Step-by-step explanation:
2.8 x 10^3
Answer:
2.8x×10³
Step-by-step explanation:
????????????????????????
Answer:
3 c 3 3 3 33 3 the 3 one
Step-by-step explanation:
A table showing pairs of r- and yvalues is shown below.
х
у
0 0.5
1 1.5
2. 4.5
3 13.5
4 40.5
Which equation describes the relationship between the pairs of r- and y-values?
Answer:
4
Step-by-step explanation:
3. The trapezoid below contains a square and two right triangles. Find the perimeter of the trapezoid.
Answer:
Perimeter of trapezoid = 25.66 cm
Step-by-step explanation:
Trapezoid ABCD contains two triangles ΔABF, ΔCDE and a square with side length 4 cm.
By applying Pythagoras theorem in ΔABF,
AB² = BF² + AF²
AB² = 4² + 3²
AB = [tex]\sqrt{16+9}[/tex]
AB = 5 cm
Similarly, By applying Pythagoras theorem in ΔCDE,
CD² = DE² + CE²
CD² = 4² + 4²
CD = [tex]\sqrt{32}[/tex]
CD =5.66 cm
Perimeter of the given trapezoid = AB + BC + CD + AD
= 5 + 4 + 5.66 + (3 + 4 + 4)
= 25.66 cm
Find the value of x. Round to the nearest degree as needed.
9514 1404 393
Answer:
x° = 29°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relevant trig relationships. Here, you have the hypotenuse and the side opposite the unknown angle. So, the appropriate relation is ...
Sin = Opposite/Hypotenuse
sin(x°) = 12/25
x° = arcsin(12/25) ≈ 28.69°
The value of x is about 29.
what is 5 yards rounded to the nearest tenth
Answer: Its just 5
Step-by-step explanation: Its always the first digit of the number.
PLEASE HELP ILL GIVE YOU BRAINLIST !!! I DONT UNDERSTAND THIS
Answer:c=2 √1129 or c=−2 √1129
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
c^2=4516
Step 2: Take square root.
c=±√4516
c=2√1129 or c=−2√1129
what is 323 dived by 48?
15% tip on a $38 bill
barbra has two cherry pies.She cuts each pie into quarters.How many slices of cherry pie does barbra have
Ok so you have 2 pies.
You can cut into quarters which is 4 slices in 1 pie.
Than you can do 4 slices x 2 pies which means you have 8
10 cm 8 cm 14 cm 7 cm 6 cm 15 cm What is the total area of the figure ?
A 373cm2
B 338cm2
C 303cm2
D 268cm2
Answer:
please include an image for the question
9/10 times 8/9 enter the product in simplest form
Answer:
4/5
Step-by-step explanation:
Find the equation of straight line passing through the point:
a) (4,8) and parallel to the line 3x+y=17
b) (2,3) and perpendicular to the line y=2x+13
I need the answers ASAP please!
Answer:
See solution below
Step-by-step explanation:
Standard equation of a line in point slope form is expressed as y-y0 = m(x-x0)
m is the slope
c is the intercept
Fr the equation 3x+y = 17
y = -3x+17
m = -3
Given the point (4,8)
The equation of the line is expressed as;
y - 8 = -3(x-4)
y - 8 = -3x + 12
y + 3x = 12+8
y+3x = 20
This gives the required equation
For the equation y = 2x + 13
Slope m = 2
Since the line is perpendicular to the unknown line;
M = -1/2
Given the point (2, 3)
Get the equation
y - 3 = -1/2(x - 2)
2(y-3) = -(x - 2)
2y-6 = -x+2
2y+x = 2 + 6
2y+x = 8
This gives the required equation
which of these fractions below are equivalent to 3/4?
Please? Help
Answer:
12/16, 6/8, 15/20, 24/32
Step-by-step explanation:
Because to find the equivalents, you have to multiply/ divide the numerator and the denominator with the same number.
(A/N If you don't know please don't answer. I need this for extra credit)
The Image below is the question
Question 1 options:
112°
158°
136°
68°
Answer:
A. 112°Step-by-step explanation:
Angles QPS and QRS are supplementary as opposite angles of a cyclic quadrilateral.
Supplementary angles sum to 180°.
m∠QPS = 180° - m∠QRSm∠QPS = 180° - 68°m∠QPS = 112°Correct choice is A
.7 pls :P need this so I don’t fail math
Answer:
B
Step-by-step explanation:
distribute 1/2 into 2x and 4, if both sides match then its infinitely many solutions !
I need to show my work ASAP
Answer:
intergers
square root of 14 = 3.74
integer is 4
nearest tenth is 3.7
square root of 90 =9.49
interger = 9
nearest tenth =9.5
square root of 175 =13.23
interger =13
nearest tenth =13.2
i need to find out what x equals
Solve x-3 = 8
x =
Solve the simultaneous equations
5x + y = 11
3x - y = 9
Answer:
Step-by-step explanation:
5x + y = 11 -------------------(I)
3x - y = 9 -----------------(II)
Add equation (I) & (II)
5x + y = 11
3x - y = 9 {add and y will be eliminated and we'll get the value of x}
8x = 20
x = 20/8
x = 2.5
Plugin x = 2.5 in equation (I)
5*2.5 + y = 11
12.5 + y = 11
y = 11 - 12.5
y = -1.5
After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
What are equations ?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .
We have,
[tex]5x + y = 11[/tex] [tex].......... (i)[/tex]
[tex]3x - y = 9[/tex] [tex]...........(ii)[/tex]
To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],
[tex]15x + 3y = 33[/tex] [tex]..........(iii)[/tex]
[tex]15x -5y = 45[/tex] [tex]..........(iv)[/tex]
Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,
We get,
[tex]8y=-12[/tex]
[tex]y=-\frac{3}{2} =1.5[/tex]
Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,
[tex]5x+(\frac{-3}{2} )=11[/tex]
[tex]x=\frac{5}{2} =2.5[/tex]
So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.
Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
To know more about equations click here
https://brainly.com/question/20380548
#SPJ2
What’s the volume of the rectangular prism
Answer:
24cm3
Step-by-step explanation:
I need help with this ASAP
Answer:
Its 0 because thats the only value not bigger than 4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Any value to the left of 4 is a solution to x < 4
The only value on the list that is left of 4 is 0 → B
Find the area of the figure. (Sides meet at right angles.)
Answer: 37ft^2
Step-by-step explanation:
Create two separate figures. A full square 3x3 and a rectangle 7x4.
The 7ft line on the right minus 3 ft (because we are cutting out that section of the figure) = 4ft
Area of 3x3 square = 3^2 = 9ft^2
Area of 7x4 rectangle = 7x4 = 28ft^2
28+9= 37ft^2
What is the measure of < c in quadrilateral ABCD?
Answer:
the sum of interior angles of a quadrilateral = 360 degree
Step-by-step explanation:
therefore,
let the angle C be X
124 + 96 + 94 + X = 360
314 + X = 360°
X = 360 - 314 = 46°
angle C = 46°
Answer:
46 degrees
Step-by-step explanation:
i really need help with this!!! someone help please
Answer:
156 in squared
Step-by-step explanation:
So the formulas will be stated below
Parallelogram Area= 1/2h(b1+b2)
Square Area= Bh
So first do
(4)(12+6)
(4)(18)
No need to half it bc there's the same shape at the bottom
72+18+30+36
6(3)
3x5(2)
12(3)
Amelia usually runs 3/4 of a mile each day. If today
she only ran 1/3 of her usual distance, how far has
she run?
Give your answer as a fraction of a mile in its
simplest form.
Answer: 1/4 of a mile
Step-by-step explanation: 1/3 × 3/4
A restaurant is making table cloths for their four round tables. Each table is a circle with a radius of 2 ft. Each table cloth needs to be 20% larger than the table surface.
How many whole table cloths can the restaurant get out of a piece of fabric with an area of 64 ft²?
Please help!!
Answer:
4
Step-by-step explanation:
Since it gives us the amount of area of material to use we know we want to find how many times we can divide it into tablecloths. So now we need to find how much each tablecloth is.
so first it tells us that each table has a radius of 2 ft, so we find the area using that. area of a circle is [tex]\pi r^2[/tex] so plugging in 2 ft we get 4π square feet or 12.56.
It also says that each tablecloth needs to be 20% bigger, so we find what 20% larger than 4π is. to do this you do 4pi*1.2 = 4.8π = 15.072 square feet.
Now, how many tablecloths with areas of 15.072 square feet can be made from 64 square feet. Hopefully it's obvious you divide. so 64/15.072 = 4.25
Since we want whole tablecloths and that .25 is a remainder, 4 whole tablecloths can be made.