Point O is where the diagonals in a rhombus MNLP intersect. If the side is 8 inches long and the measure of the angle MNL is 120 degrees, then NP is 8 inches.
A rhombus is a quadrilateral with all of its sides being the same length and both pairs of opposite sides being parallel. The following formula can be used to determine the length of diagonals when applying the law of cosines to triangles made out of the rhombus's diagonal (x) and sides(a): diagonal [tex]x=a\sqrt{2+2\cos \theta}[/tex].
Given the sides of the rhombus, MNLP is 8 inches each and the ∠MNL is 120°. Then, let's take the diagonal NP as x and calculate this using the above formula as follows,
[tex]\begin{aligned}x&=8\sqrt{2+2\cos120^{\circ}}\\&=8\sqrt{2+2(-0.5)}\\&=8\sqrt{2-1}\\&=\mathrm{8\;inches}\end{aligned}[/tex]
The required answer is 8 inches.
To know more about rhombus:
https://brainly.com/question/16739227
#SPJ4
Find the H.C.F of following expressions:2x²(x+2)(x-2)and4x(x+2)(x-4)
Given:
The given expressions are [tex]2x^2(x+2)(x-2)[/tex] and [tex]4x(x+2)(x-4)[/tex].
To find:
The H.C.F. of the given expressions.
Solution:
The two expressions are:
[tex]2x^2(x+2)(x-2)[/tex]
[tex]4x(x+2)(x-4)[/tex]
It is clear that 2x and (x+2) are the common factors. So, we need to multiply these common factors to get the H.C.F. of the given expressions.
[tex]H.C.F.=2x(x+2)[/tex]
Therefore, the H.C.F of the given expressions is [tex]2x(x+2)[/tex].
If you were given the function y=4x-3 and you had to find the Range, given the Domain: (1,3,5,7)
which one would be correct?
1. (1,5,9,13)
2. (3,9,12,15)
3. (1,9,17,31)
4. (1,9,17,25)
Answer:
option 4
Step-by-step explanation:
y = 4x-3
y = 4(1)-3
y = 1
y = 4(3)-3
y = 9
y = 4(5)-3
y = 17
y = 4(7)-3
y = 25
A large rectangular box has a volume of 15. 75 cubic feet the box is 2. 5 feet long and 1. 5 feet wide what is the height of the box
A large rectangular box has a volume of 15. 75 cubic feet the box is 2. 5 feet long and 1. 5 feet wide. So the height of the box is 4.2 feet.
The formula to find the volume of a rectangular box is
V = lwh
where l is the length, w is the width, and h is the height.
Given that the volume of the box is 15.75 cubic feet, the length is 2.5 feet and the width is 1.5 feet, we can use the formula to find the height.
V = lwh
15.75 = 2.5 × 1.5 × h
h = 15.75/ (2.5 × 1.5)
h = 4.2
Therefore, the height of the box is h = 4.2 feet
To know more on volume of cuboid
https://brainly.com/question/29160677
#SPJ4
pls help with this graph what is the equation for it pls get it right and thanks :)
Answer:
y=-4x+40
Step-by-step explanation:
I graphed it. Also, the y-intercept was obviously 40 and the slop was rise/run which is 40/10 which is 4 but the graph is negative so -4
Simplify using appropriate property: 5/7 X 1/5 + 5/7 X 3/5Simplify using appropriate property:
Answer:
4/7
Step-by-step explanation:
5/7 x (1/5+3/5) = 5/7 x 4/5 = 4/7
can someone help please ?
Answer:
A
Step-by-step explanation:
36 divided by 4 is 9 than you multiple that by 3 which is 27.
URGENT PLS!!
The equation of the line passing through the points (2,1) and (-6, -5) is given by ax+by=10. What is the value of a?
Answer:
a=15
Step-by-step explanation:
MARKING BRAINLIEST!! Use a reference angle to find the exact value of the sine, cosine, and tangent of each angle. -pi. (unit circle) -pi= -180 degrees btw.
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, a complete question is in the form:
Use a reference angle to find the exact value of the sine, cosine, and tangent of each angle. 260°
Solution:
There are four quadrants which divides into four equal parts. If θ is the angle:
If θ falls in the first quadrant, the reference angle = θ
If θ falls in the second quadrant, the reference angle = 180 - θ
If θ falls in the third quadrant, the reference angle = θ - 180
If θ falls in the fourth quadrant, the reference angle = 360 - θ
Given 260°, this falls in the third quadrant, hence the reference angle = 260 - 180 = 80°.
In the third quadrant, sine and cosine are negative while tangent is positive. Hence:
sin(260) = -sin(80) = -0.985
cos(260) = -cos(80) = -0.174
tan(260) = tan(80) = 5.67
find equation of the line passing through (4,8) and parallel to the line 3x+y=17( Please give workout)
Answer:
y = -3x +20
Step-by-step explanation:
Equation of line: y =mx + b
Where m is the slope and b is the y-intercept.
3x + y = 17
Write the above equation in y = mx +b form.
y = -3x + 17
m = -3
Parallel lines have same slope.
So, slope of the required line is (-3).
y = -3x + b
This line is passing through (4,8). Substitute in the above equation and find the value of 'b'.
8 = -3*4 + b
8 = -12 + b
8 + 12 = b
b = 20
Equation of the line:
[tex]\sf \boxed{ y = -3x + 20}[/tex]
pls help with this question its due today the picture is under
Using PEDMAS to solve the mathematical expression given, the value is 2
What is PEMDASPEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. It is an acronym used to remember the order of operations in math problems. It is also sometimes referred to as Order of Operations.
In this problem, we will need to use and apply the rules of PEMDAS.
We will need to break this into different components and then bring them together afterwards.
[(3/5 + 0.425 - 0.005) ÷ 0.1] / [30.5 + 1/6 + 3(1/3)] + [6(3/4) + 5(1/2)] / [(26 ÷ 3(5/7)] - 0.05
This becomes ;
[10.2 / 34] + [12.25 / 7] - 0.005
We can further resolve this into
2.05 - 0.005
And then we just subtract the values from one another
2.05 - 0.005 = 2
Learn more on PEDMAS here;
https://brainly.com/question/550188
#SPJ1
Is the given expression equal to - 2(5.5+ 4.5b)?
Select Yes or No for each expression.
Yes No
- 9b+ 11
- 9 - 11
- 11-9b
Answer:
i'm not to sure but i think its all no
Step-by-step explanation:
Determina en cada caso, si la función corresponde a una función lineal o a una función afín. a. Y = -5x b. Y = -3x – 2 c. Y = 2x + 4 d. Y = 1x/4 – 2
Answer:
Sabemos que una función lineal es de la forma:
f(x) = m*x
Mientras que una funcion afin es de la forma:
g(x) = m*x + n
Entonces para reconocer si una función es lineal o afín, simplemente debemos ver si tenemos un término constante o no (un término constante es un término que no está siendo multiplicado por la variable x).
a) y = -5*x
No tenemos término constante, entonces es una función lineal.
b) y = -3*x - 2
Acá tenemos un término constante igual a -2, entonces esto es una función afín.
c) y = 2*x + 4
Acá tenemos un término constante igual a 4, entonces esto es una función afín.
d) y = (1/4)*x - 2
Acá tenemos un término constante igual a -2, entonces esto es una función afín.
Here is a square pyramid and its net.
The lateral faces are congruent triangles. The base (shaded) is a square.
(All lengths are in centimeters.)
A. Find the area of the base of the pyramid.
B. Find the area of one lateral face of the pyramid
C. Use the net to find the lateral surface area of the pyramid. The base is not included.
D. Use the net to find the total surface area of the pyramid.
Answer:
A. 9 [tex]cm^{2}[/tex]
B. 9.6 [tex]cm^{2}[/tex]
C. 38.4 [tex]cm^{2}[/tex]
D. 47.4 [tex]cm^{2}[/tex]
Step-by-step explanation:
A. Area of the base of the pyramid = length x length
= 3 x 3
= 9 [tex]cm^{2}[/tex]
B. Area of one lateral face of the pyramid = area of a triangle
= [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 3 x 6.4
= 9.6 [tex]cm^{2}[/tex]
Area of one lateral face of the pyramid = 9.6 [tex]cm^{2}[/tex]
C. The lateral surface area of the pyramid = 4 x area of one lateral face
= 4 x 9.6
= 38.4
The lateral surface area of the pyramid = 38.4 [tex]cm^{2}[/tex]
D. The total surface area of the pyramid = lateral surface area of the pyramid + area of the base
= 38.4 + 9
= 47.4
The total surface area of the pyramid = 47.4 [tex]cm^{2}[/tex]
SOLVE FOR BRAINLYY!! AND FOR EMAIL :)
Answer:
3x([tex]y^{4}[/tex]+2)-9
hope this helps :DDDDD
[Please help me on this- I will give you brainlist!!]
Write the terms in standard form. Then state the degree of the polynomial and the leading coefficient (LC).
For the polynomial 9, 3x², 8x; the degree is 2 and the leading coefficient is 3
What is an equation?An equation is used to show the relationship between numbers and variables.
Polynomial is an expression composed of variables, constants and exponents using mathematical operations such as addition, subtraction, multiplication and division
The degree is the highest exponent of variable for the polynomial. The polynomial with degree of 2 is known as a quadratic polynomial
Given the polynomial:
9, 3x², 8x
Writing in standard form is done by rearranging from highest exponent of variable to least. This is:
3x², 8x, 9
Hence the degree is 2 and the leading coefficient is 3
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Are 2 sides of an isosceles triangle?
Yes, the lengths of the two sides of an isosceles triangle are equal.
An isosceles triangle is a type of triangle that has two sides that are equal in length. The other side of the triangle can be either longer or shorter than the two equal sides. The two equal sides are called the legs, and the other side is called the base. The angles opposite the two equal sides are also equal in measure. Because of this, the two equal sides create an angle bisector that divides the base into two equal parts. This angle bisector forms two angles of equal measure as well. Thus, the two equal sides of an isosceles triangle are a defining feature of the shape.
Learn more about isosceles triangle here
https://brainly.com/question/2456591
#SPJ4
True or false explain why
Answer: False
The estimated points can be found first by counting on the x-axis then the y-axis. Negative numbers are to be counted downward on the y-axis, positive numbers are to be counted upwards on the y-axis. Negative numbers are to be counted to the left of the x-axis, positive numbers are to be counted to the right of the x-axis
what is 1,792 c = gal
Answer:
1,792 c = 112 gal.
Step-by-step explanation:
Because their 16 cups in 1 gallon, we will divide 1,793 by 16 and we get 112. Therefore, 112 is our answer.
Answer:
112 gallons
Step-by-step explanation:
there are 16 cups in 1 gallon
1=16
?=1792
to solve this, divide 1792 by 16 to get 112 gallons
112*16 is 1792
What is the value of the expression 4x 3 x )+ 5x x 2 for x 3?
The value of the given expression 4x(3-x)+5x(x-2) when x = -3 is 3.
What are expressions?A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations.
A number is 6 more than half of the other number, which is x.
This statement is represented by the mathematical equation x/2 + 6.
So, we have the expression:
4x(3-x)+5x(x-2)
Now, the value of the expression when x = -3.
Insert values and calculate as follows:
4x(3-x)+5x(x-2)
4(-3)(3-(-3))+5(-3)((-3)-2)
-12(6)-15(-5)
-72 + 75
3
Therefore, the value of the given expression 4x(3-x)+5x(x-2) when x = -3 is 3.
Know more about expressions here:
https://brainly.com/question/28934492
#SPJ4
Correct question:
What is the value of the expression 4x(3-x)+5x(x-2) for x=(-3)?
Please help I will give brainliest
Answer:
13X
Step-by-step explanation:
if I am correct I added 6+7 then add X to it.
Answer:
∠ 1 = 37°
Step-by-step explanation:
(9x - 8) and (6x + 7) are corresponding angles and are congruent, then
9x - 8 = 6x + 7 ( subtract 6x from both sides )
3x - 8 = 7 ( add 8 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Then
∠ 1 = 6x + 7 = 6(5) + 7 = 30 + 7 = 37°
NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3
Answer:
x=42.5
Step-by-step explanation:
First, start by setting up the equation
these are both same side interior angles, so they both add up to 180
(3x+10) + x = 180
4x+10 =180
subtract both sides by 10
-10 -10
4x=170
divide both sides by 4
x=42.5
m<1=
m<2=
m<3=
Please help, no links please
Answer:
∠1 = 90° because the figure is a kite and the diagonals form 90° angles
∠2 = 90° - 27° = 63°
∠3 = ∠2 = 63°
Answer:
m<1 = 90 degrees
m<2 = 63 degrees
m<3 = 63 degrees
Step-by-step explanation: Angle 1 is a right angle, which is equal to 90 degrees. To find angle 2, you must know that a triangle's angles all add up to 180 degrees. You must realize that the angle below the 2 is 90 degrees since it is supplementary to angle 1. Now, you have to add the given angle of 27 degrees to 90 degrees and then subtract that sum from 180 degrees to get an answer of 63 degrees (27+90=117 --> 180-117=63). Angles 2 and 3 have the same value because they are basically symetrical to one another since both of their triangle's side lengths are equivalent.
What is the interval of zero?
If the confidence interval for a difference between groups includes zero, that means that if you run your experiment again you have a good chance of finding no difference between groups.
If the confidence interval for a difference between groups includes zero, that means that if you run your experiment again you have a good chance of finding no difference between groups.
If the confidence interval for a correlation or regression includes zero, that means that if you run the experiment again there is a good chance of finding no correlation in the data.
In both of these cases, you will also find a high p-value when you run the statistical test, meaning that the results could have occurred under the null hypothesis of no relationship between variables or no difference between groups.
To learn more about null hypothesis:
https://brainly.com/question/28920252
#SPJ4
Need help on this guys
Answer:
pretty sure its 5
Step-by-step explanation:
How many ways can a president, a vice-president and a secretary be chosen from 11 members of a club assuming that one person cannot hold more than one position
On solving the provided question, we can say that so, we apply permutation P(12,4) = 12!/ 8! = 11880
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.
so, we apply permutation
P(12,4) = 12!/ 8! = 11880
To know more about permutation visit:
https://brainly.com/question/1216161
#SPJ4
Find the difference.
(5x2 - 3x + 7) - (3x2 + 4x - 5)
Answer:
16-7x
Step-by-step explanation:
10x-3x+7-6-4x+5
16-7x
$7.90 for 50 ounces of laundry soap
Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range
y= -5x^2 - 4x + 1
Domain: all the real numbers
Range: y ≤ 9/5
i hope u can see the attached graph! :)
Answer:
a)
Step-by-step explanation:
vertex is at (-0.4, 1.8) so range must be less than or equal to 1.8
Carnival A charges an entrance fee of $3.00 and $0.75 per ticket for the rides. Carnival B charges an entrance fee of $14.00 and $0.50 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival A and Carnival B to be the same?
A. 44
B. 36
C. 28
D. 48
show work if u can , thanks
Answer:
36
Step-by-step explanation:
The formulas are 3+. 75x and 14+. 5x. Plug them into a graphing calculator and find where the lines intersect. Or plug in each answer choice for x and see which one give you the same answer
Answer:
44
Step-by-step explanation:
i cant show work, but i got this same question right.
somebody help please
Answer:
Step-by-step explanation:
because HA⊥HR, HR⊥DR, so HA ║ DR, then we know ∠DHR=∠ARH,
we konw, AR=HD, They have a common segment HR, as well as the same angle，so HRA≅RHD