Answer:
[tex]P = 22.75[/tex]
Step-by-step explanation:
Given:
See attachment for rectangle LINT
Required
Calculate its perimeter
From the attachment:
Considering triangle LYT, we apply Pythagoras theorem.
[tex]LT^2 = LY^2 + TY^2[/tex]
Where:
[tex]LY = 5.2[/tex]
[tex]TY = 3.9[/tex]
The formula becomes:
[tex]LT^2 = 5.2^2 + 3.9^2[/tex]
[tex]LT^2 = 42.25[/tex]
Take positive square root of both sides
[tex]LT = \sqrt{42.25[/tex]
[tex]LT = 6.5[/tex]
Next, we calculate the length of NT.
By comparing triangles LYT and NYT
We make use of the following equivalent ratios to solve for NT
[tex]NT:TY = LT:LY[/tex]
[tex]NT : 3.9 = 6.5 : 5.2[/tex]
Convert to fractions
[tex]\frac{NT}{3.9} = \frac{6.5}{5.2}[/tex]
Make NT, the subject:
[tex]NT = \frac{6.5}{5.2}*3.9[/tex]
[tex]NT = \frac{6.5*3.9}{5.2}[/tex]
[tex]NT = \frac{25.35}{5.2}[/tex]
[tex]NT = 4.875[/tex]
The perimeter (P) is then calculated as:
[tex]P = NT + LT + LI + NI[/tex]
Where
[tex]NT = LI[/tex] and [tex]LT = NI[/tex] -- opposite sides of rectangle.
So:
[tex]P = NT + NT + LT + LT[/tex]
[tex]P = 2NT + 2LT[/tex]
Substitute values for NT and LT
[tex]P = 2*4.875 + 2*6.5[/tex]
[tex]P = 9.75 + 13.0[/tex]
[tex]P = 22.75[/tex]
Hence, the perimeter is 22.75 units
Determine a series of transformations that would map Figure N onto Figure O
Answer:
Reflect over x-axis. Then translate up 5 units.
Find all of the roots of the following quartic equation:
h(x)= x^4 - 2x^3 - 9x^2 + 18x
-10(d+1)=-14
What is the value of d
Answer:
[tex]d=\frac{2}{5}[/tex]
Step-by-step explanation:
-10 (d+1) = -14
-10d -10 = -14
-10d = -14 + 10
-10d = -4
d = 4/10
d= 2/5
what is value of x for which the equation 9^-6 x 9^x = 1
Answer:
x=6
Step-by-step explanation:
9^-6*9^x=1
(x-6)In(9)=In(1)
Awnser
x=6
The length of a rectangle is 3 times as big as the width. If beth increases each dimension by 4, write an expression to represent the new area, a, of the rectangle.
Answer: See explanation
Step-by-step explanation:
Let the width of the rectangle be x.
The length of a rectangle is 3 times as big as the width. Length = 3x
New width = x + 4
New length = 3x + 4
The new area will be:
a = (3x + 4)(x + 4)
a = 3x² + 12x + 4x + 16
a = 3x² + 16x + 16
Angles A and Care supplementary. Find the measure of angle C.
There is a picture
Answer:
106 degrees
Step-by-step explanation:
180 -74 = 106
The second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.
What are supplementary angles?Two angles are said to be supplementary angles when they add up to 180 degrees.
Two angles are supplementary, if
a). one of its angle is an acute angle and another angle is an obtuse angle.
b). both of the angles are right angles.
This means that if A and B are the two angles then
[tex]m[/tex]∠A+[tex]m[/tex]∠B = 180 degrees
According to the given question we have
angles A and C are supplementary
and, [tex]m[/tex]∠A = 74 degrees
therefore,
the measure of angle C is calculated as
[tex]m[/tex]∠A + [tex]m[/tex]∠C = 180 degrees (sum of the supplementary angles)
74 + [tex]m[/tex]∠C = 180 degrees ( [tex]m[/tex]∠A = 74 )
[tex]m[/tex]∠C = (180 - 74)degrees ( subtracting 74 degrees both the sides)
[tex]m[/tex]∠C = 106 degrees
Hence, second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.
Learn more about the supplementary angles here:
https://brainly.in/question/1288078
#SPJ2
ASAP PLEASE: 16 + 11(-2)2 - 25(⅖) =
Answer:
-38
Step-by-step explanation:
Explain the meaning of F(30) = 8,950 in this situation
Answer:
when you have something like f(x)=... that means
f means function
and every time you see an x or the variable in the parenthesis you plug in for that so it's f(x) =3x+1 then f(2)= 3x+1 every time you see x you plug in 2
Given the function below, find f(-5): f(x)= x^2 + 3x - 21
Answer:
Step-by-step explanation:
f(-5) = (-5)^2 + 3(-5) - 21
= 25 - 15 - 21
= -11
Answer:
11
Step-by-step explanation:
) f(x) = 3x2 + 5 and y = 3x2 + 5 ... You read this problem like this: “given f of x equals 4x plus one, find f of 2. ... Given f(x)= 3x – 4, f(5) = 11.
I need help with this, please. Someone?
Answer:
6:8:10
Step-by-step explanation:
alex, brian, and carlton competes the same weightlifting category this year and one of them won! the weight alex lifted plus the weight brian lifted was 220 kg. the weights lifted by alex and carlton totaled 240 kg. and the weights lifted by Brian and Carlton totaled 250 kg. How many kilograms did the winner lift
Answer:
135 Kilograms
Step-by-step explanation:
Alex = 105
Brian = 115
Carlton = 135
135
A rectangular prism has a volume of 3,510 feet cubed. It has a height of 12
feet and a length of 13 feet. What is it's width? *
Answer:
22.5 feet.
Step-by-step explanation:
Volume = length * height + width, so:
3510 = 13 * 12 * width
So width = 3510 / (13*12)
= 22.5 feet.
Suppose someone gives you 6 to 1 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win 6 dollars if you succeed and lose 1 dollar if you fail. What is the expected value of this game to you. What can you expect if you play 200 times
Answer:
0.75 ;
150
Step-by-step explanation:
Probability of rolling two even numbers :
{1, 2, 3, 4, 5, 6}
P(even) = 3 / 6 = 1/2
From a roll of 2 dice :
P(even) * P(even) = 1/2 * 1/2 = 1/4 = 0.25
P(not even) = 1 - 1/4 = 3/4
X : ____ 6 _______ - 1
P(x) ____ 0.25 ____ 0.75
Expected value :
Σx*p(x) = (6*0.25) + (-1 * 0.75)
= 1.50 - 0.75
= 0.75
If 200 games are played :, n = 200
Expected value * n
0.75 * 200
= 150
I need help I don’t get how to solve it plsss help me
Answer:
Step-by-step explanation:
They give you the equation, you must substitute the x values into the equation to find the y values.
Example on top equation:
y=-5x so the y values would be
y=-5(-1)=5
y=-5(0)=0
y=-5(1)=-5
y=-5(2)=-10
28+c=36 what is the value of c
Answer:
to find the value of c, isolate it.
28 + c = 36
c = 36 - 28
c = 8
now, to check:
28 + 8 = 36 ✓
An isosceles triangle has an angle that measures 56º. Which other angles could be in that
isosceles triangle? Choose all that apply.
HELP PLEASE I NEED THIS
Answer:
The other angles can be 56°, 68°, or 62°.
Step-by-step explanation:
If the 56° angle is one of the two congruent angles, then the remaining angles are 56° and 180-2(56) = 68°
If the is 56° Is not congruent to either of the other angles, then each of the remaining two angles is (180-56)/2 = 62°.
The other angles can be 56°, 68°, or 62°.
What is the equation of the line in slope-intercept form
Answer:
-2
Step-by-step explanation:
as x goes up 1 y goes down 2
slope is change in y over change in x
-2/1=-2
PLZ HELP PLZ GIVING 15 POINTS AND GIVE BRAINLIEST
Answer:
12/7
Step-by-step explanation:
[tex]6=\frac{6}{1} \\\frac{6}{1}*\frac{2}{7}=\frac{12}{7}[/tex]
When you multiply fractions you multiply straight accross
there are 63 boys in sixth grade. the number of girls in the sixth grade is 56. Shelby says that means the ratio of the number of boys to the number of girls in sixth grade is 9:7. is Shelby correct. use a tape diagram, to support your answer.
Answer:
Yes, Shelby is correct.
Step-by-step explanation:
Basically, if you divide 63 by 9 you get 7, and if you divide 56 by 7 you get eight, so yah.
Simplify (6w + 5.2) + (12.2 + 2.3w)
Answer:
The answer is 8.3 W + 17.4
If you click on the image it will show you how to solve the equation and I hope this helps you.
What is true about the dilation?
Solve the formula C = d for d.
please answer quick! I will give brainliest! The figure below shows the front side of a purse in the shape of a trapezoid. Find the area of the trapezoid. Be sure to use the proper area formula from your lesson notes!
Make sure to show your work and explain the steps you took in solving the problem using the words “first,” “next,” and “last.”
Answer:
the area is 110. the formula for a trapezoid is A= a+b/2 × h.
A= a+b/2 ×h= A= 9+13/2×10=110
Use this and explain yourself
enter a negative number that has a greater absolute value than 5
Answer:
-10 ||10||
Step-by-step explanation:
Solve the given equation. 8k = 40
k =
To find k, divide both sides by 8:
k = 40/8
k = 5
Answer:
k=5
Step-by-step explanation:
8k=40
k=40÷8
k=5
therefore k is equal to 5
A 3-gallon bottle of fabric softener costs $33.24. What is the price per quart?
Answer:
$2.77 per quart.
Step-by-step explanation:
There are four quarts in a gallon.
4 * 3 = 12
There are 12 quarts in 3 gallons.
[tex]\frac{price}{quart} =\frac{33.24}{12}=\frac{33.14/12}{12/12}=\frac{2.77}{1}=\boxed{2.77}[/tex]
The price per quart should be $2.77.
Hope this helps.
What is 5 - 5/7 = ? (Simplfy)
x/2 + 7 = 12 what color
Answer:
Red
Step-by-step explanation:
it is 10
PLEASE HELP IM SO BAD AT MATH AND I AHVE A 25 IN IT PPLELSLSLSL
Answer:
for the shirts made column its 1, 2, 3, 4, 5
for the cost of machine it's 2 and 150
and for total cost its 160, 180, and 200
Step-by-step explanation:
-12x2 – 16x
Help me with this please
Answer:
-4x(3x+4)
Step-by-step explanation:
You have to undo the problem, I will show you how this problem looks if you solve it (the answer i guess? id.k it is hard to explain any other way)
So first we use distributive property-
-4x *3x=-12x^2
-4x*4=-16x
-12x^2-16x And now we have the problem we started with!
Answer:
its -4x(3x+4)
Step-by-step explanation: