I AM GIVING AWAY BRAINLIEST AND POINTS TO WHOEVER ANSWERED! PLEASE HELP!

The lengths of the diagonals of a rhombus are 2in. and 5in. Find the measures of the angles of the rhombus to the nearest degree.

Answers

Answer 1

Draw a rhombus with the diagonals.

4 right triangles are formed.

The intersection of the diagonals of a rhombus form 90 degree (right) angles (property of a rhombus).

The diagonals of a rhombus bisect each other. This means that they cut each other in half.

So, each of the right triangles have one side = 1, one side = 2.5 and the hypotenuse = unknown (sides of the

rhombus).

Triangle 1. ABC

side a = 2.5, side b = 1

tan A = a/b = 2.5/1 = 2.5

tan A = 2.5

tan 68.2 deg = 2.5

Since, angle C = 90 and angle A = 68.2

angle B = 21.8 deg. (180 - (90 + 68.2))

Since the diagonals bisect angles in each corner of a rhombus (property of a rhombus), therefore, one corner angle is 68.2 + 68.2 = 136.4 deg. and the same side other corner angle is 21.8 + 21.8 = 43.6 deg.

Adjacent sides (ones next to each other) of a rhombus are supplementary. This means that their measures add up to 180 degrees.

Therefore, the opposite corners are

180 - 136.4 = 43.6 and

180 - 43.6 = 136.4.

So, the four angles are,

136.4, 43.6, 136.4, and 43.6

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Related Questions

Find the volume of the triangular prism.
4 ft
8 ft
37 ht

Answers

Answer:

4 ft

Step-by-step explanation:

So to calculate the volume of a triangular prism, the formula is 4ft

Step-by-step explanation:

volume of prism = area of triangle * length

                            = 1/2*4*8*37

                            = 592ft^3

find the length of the missing side.

1) 52 cm
2) 42cm
3) 25 cm
4) 48 cm

Answers

Answer:

52 cm

Step-by-step explanation:

Use the pythagorean theorem to solve for missing sides in a right triangle.

20²+48²= missing side

20²+48²=2704

Take the square root of 2704 to get the missing side.

[tex] \sqrt{2704 } = 52[/tex]

Answer :

52 cm

Explanation :

This is Right Angled Triangle.

Solution :

We'll solve this using the Pythagorean Theorem.

where,

AB (20 cm) is the perpendicular

BC (48 cm) is the Base.

AC is the Hypotenuse.

We know that,

[tex]{\longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} } \\ \\ [/tex]

Now, we will substitute the given values in the formula :

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = (20) {}^{2} +( 48) {}^{2} } \\ \\ [/tex]

We know that, (20)² = 400 and (48)² = 2304. So,

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 400 + 2304 } \\ \\ [/tex]

Now, adding 400 and 2304 we get :

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 2704 } \\ \\ [/tex]

Now, we'll take the square root of both sides to remove the square from AC :

[tex]{\longrightarrow \sf \qquad \sqrt{ (AC) {}^{2}} = \sqrt{2704} } \\ \\ [/tex]

When we take the square root of (AC)² , it becomes AC,

[tex]{\longrightarrow \sf \qquad AC = \sqrt{2704} } \\ \\ [/tex]

We know that, square root of 2704 is 52 .

[tex]{\longrightarrow \sf{\pmb{ \qquad AC = 52 }}} \\ \\ [/tex]

So,

The measure of the missing side (AC) is 52 cm .

What is Three-fourths divided by one-sixth?

Answers

Answer:

[tex] \frac{9}{2} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} \div \frac{1}{6} [/tex]

[tex] \frac{3}{4} \times \frac{6}{1} [/tex]

[tex] \frac{18}{4} [/tex]

[tex] \frac{9}{2} [/tex]

hello!

Divide fractions:-

[tex]\displaystyle\frac{3}{4} :\frac{1}{6}[/tex]

Multiply the 1st fraction times the reciprocal of the 2nd fraction (flop the second fraction over) :-

[tex]\displaystyle\frac{3}{4} *\frac{6}{1} =\frac{3*6}{4*1}=\frac{18}{4}[/tex]

[If necessary, divide the top & bottom by 2, and you'll have 9/2]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

The angle of elevation to a nearby tree from a point on the ground is measured to be 52


. How tall is the tree if the point on the ground is 82 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.

Answers

The elevation and the top of the tree form a right triangle

The height of the tree is 104.96 feet

How to determine the height of the tree?

The given parameters are:

Angle of elevation = 52 degreesHorizontal distance (b) = 82 feet

The height (h) of the tree is calculated using the following trigonometry ratio

tan(α) = h/b

Make h the subject

h = b * tan(α)

Substitute known values

h = 82* tan(52)

Evaluate the product

h = 104.96

Hence, the height of the tree is 104.96 feet

Read more about right triangles at:

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Answer:

Step-by-step explanation:

tan 52 = x/82

x= 82 x tan 52

x=104.96

okay, triangular prism volume formula. b is base, B is area of base (i think) V is volume, h is height, but I forgot what H is.
Also, how has your day been? :)

Answers

Answer:

good and how do you forget wut H is?

Step-by-step explanation:

What two factors add to -9 and multiply to 18

Answers

Answer:

3 × 6 = 18 3 + 6 = 9

Step-by-step explanation:

3 × 6 = 18 3 + 6 = 9

What is the Pythagorean Theorem used for?

Answers

Answer:

Pythagorean Theorem used for finding the missing side length for a triangle the formula is a^2 + b^2 = c^2
a= base
b= height
c= the diagonal side a.k.a. hypotenuse

Answer:

u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye

Step-by-step explanation:

60 ft
60 ft
30t)
60 ft
60ft
30 ft.

Answers

Answer:

7290ft^2

Step-by-step explanation:

60*30=1800

then multiply that by 4 because of the 4 rectangle

1800*4=7200

multiply 30*30 to get 90 then add that on

7290

0.021 +0.21 + 0.00021 +0.0021 = 0
O A. 0.0084
B. 0.084
OC. 0.2351
D. 0.23142
E. 0.23331

Answers

Answer:

E. 0.23331

Step-by-step explanation:

0.021 + 0.21 + 0.00021 + 0.0021

⇒ As 21 is a common factor, take the remaining as powers of 10.

21 (10⁻³ + 10⁻² + 10⁻⁵ + 10⁻⁴)21 (0.001 + 0.01 + 0.00001 + 0.0001)21 (0.01111)21 x 0.011110.23331

Factorise the following quadratic:
m^2 - 5m + 6

Answers

Answer:

(m-3)(m-2)

Step-by-step explanation:

Here,

m^2- 5m + 6

=m^2-(3+2)m +6

=m^2 - 3m - 2m +6

=m(m - 3) - 2 (m - 3)

=(m-3)(m-2)

Helppppppp pls :))))))))

Answers

Answer:

g(x) = 1 * (x + 1)^2

Step-by-step explanation:

Answer:

g(x) = 1 * (x + 1)^2

Step-by-step explanation:

The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n +c.what does the graph tell you about the value of a in this function?

Answers

Answer:

a is less than 0

Step-by-step explanation:

The value of a in this function is a is less than 0 .

What is  radical function?

A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions. An example of a radical function would be. y=√x.

According to the question

Radical function that can be written in the form

[tex]f(x)=a(x+k)^{1/n} +c.[/tex] ------------------------(1)

By solving this equation we will get value of a and c

differentiating the equation

[tex]f'(x)=\frac{1}{n}* (a(x+k)^{1/n-1})[/tex]

therefore

[tex]((x+k)^{1/n-1}) > 0[/tex]

As graph is decreasing monotonically  

[tex]\frac{a}{n} < 0[/tex]

as n will be always n>0 ,

so a < 0

Now taking value of f(x)= 0 in equation (1)

[tex]f(x)=a(x+k)^{1/n} +c[/tex]

[tex]0 =-a(x_{0} + k)^{1/n} +c[/tex]   as (a < 0)

[tex]0=-a(k)^{1/n} +c[/tex]

[tex]-c =-a(k)^{1/n}[/tex]  multiplying (-1) both side

[tex]c =a(k)^{1/n}[/tex]  

i.e

c > 0

Hence, the value of a in this function is a is less than 0 .

To know more about Radical function here:

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• Write an expression that is equivalent to 3(7 + x).
3(7+ x) =


Answers

Step-by-step explanation:

3(7 + x) = 3×7 + 3x = 21 + 3x

remember, when you multiply two expressions, you need to multiply every term of the first expression with every term of the second expression, and then add all partial results (by considering the individual signs, of course).

(3.6×10−5)÷(9×10−7) in Standard Form

Answers

Answer: 31/83  (decimal form 0.373494)

Step-by-step explanation:

There are 5 cups of oatmeal in a container.Stella has1/3 cup of the oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container

Answers


Answer:

Step-by-stepStep-by-step explanation:
There are 5 cups.
She takes 1/3 every day
No of days: 5 / 1/3 = 5 x 3 = 15 days

1. The equation of a circle is x² + y² - 4x +2y-11-0. What are the center and the radius of the circle?
www
Show your work.
Answer:

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Circles,

so we get as,

centre as ==> ( -g, -f) ==> (2,-1)

An oatmeal container is in the shape of a right circular cylinder. The radius of the base is 4 centimeters, and the height is 17 centimeters. What is V, the volume of the container in terms of π?



V =
π cm3

Answers

Answer:

V = 272 π cm^3

Step-by-step explanation:

r = 4 cm

h = 17 cm

V = πr^2h

V = π((4)^2)(17) cm^3 = 272 π cm^3

Does anyone know if this is right?

In the diagram below, m//n. Select all of the angles that are congruent to 21

Answers

Not sure about Angle. 13

whats the slope of (0,1) and (3,-5)

Answers

the slope of points (0,1) and (3,-5) is -2

A bus makes a stop at 2:30, letting off 13 people and letting on 5. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?

Answers

Answer:

net loss of 10

Step-by-step explanation:

stop 1 :

13 off

5 on

7 net loss

stop 2 :

3 off

3 net loss

total net loss = 3+10

=10

3. Two ocean beaches are being rected by crosionThe table shows the winteet of each beach measured at high tide where 1905 is represented by year
Year number
Western Beach width (info
Dunes Beach width (in feet)
100
20
25
5
90
70
10
80
13
75
12
76
30
15
70
95
A Describe the patterns shown by the crosion data measurements shown for each of the beaches in the table
B. Between which years will the beaches have approximately the same width?
C. Assuming these rates remain constant what can you do to get a becer approximation of when the two beaches will have the same wich?

Answers

Answer:

Answer given in the image below

I hope my answers helps you.

Kayli made 3 times as many Peanut Butter
Cookies as Sugar Cookies. This can be modeled
using the equation below.

Answers

Answer:

p/3

Step-by-step explanation:

You can divide both sides by three.

P=3S

----/3

P/3=S

Thus, p/3 is the answer

Joseph researched the ages of some of his favorite professional

football players. He recorded his results in the dot plot below.
Which of the following statements about the distribution are true?


I. There are two peaks at 27 and 28.
II. The distribution is skewed.
III. The distribution does not have an outlier.
IV. The distribution shows a spread of 5.




I only


I, II, and III only


I, III, and IV only


I, II, III, and IV

Answers

The statements that are true about the dot plot are: I, III, and IV only.

What is the Spread of a Data in a Dot Plot?

The range, which is the difference between the maximum and minimum value, is a measure of the spread of a data distribution.

In the dot plot given, the spread of the data is: 30 - 25 = 5.

The peak points are at 27 and 28, and the data looks symmetrical in shape with no clear outlier.

Therefore, the statements that are true about the dot plot are: I, III, and IV only.

Learn more about dot plot on:

https://brainly.com/question/25957672


I need help finding the mean

Answers

Answer:

there is 5 jokers

Step-by-step explanation:

the dot plot shows that

Find the area and the circumference of a circle with diameter 3ft.


Use the value 3.14 for pie, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer:

Step-by-step explanation:

hello :

the circumference is :P=2pi×r=2×3.14×3= .... continu

Answer:

Area=  7.065ft^2

Circumference= 9.42ft

Step-by-step explanation:

The area of a circle is,

area=Pi*r^2

and the circumference,

circumference=2*Pi*r

with r being the diameter/2

so we get,

area=(3.14)(1.5)^2=7.065ft^2

circumference=2(3.14)(1.5)=9.42ft

2x+5y < 19 and x-2y <-9
Solve the system of equation and graph it.

Answers

Answer:

  see attached

Step-by-step explanation:

The boundary lines and solution region are shown on the attached graph. It is convenient to let a graphing calculator plot them.

__

If you'd like to plot the boundary lines by hand, it is useful to note the equations for them are in standard form:

  ax +by = c

This means the slope is m = -a/b, and the y-intercept is c/b. Here, the odd constant values mean that (most) intercepts will involve fractions.

2x+5y<19

  slope: -2/5

  y-intercept: 19/5 = 3.8

  points on the line: (7, 1), (2, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

__

x-2y<-9

  slope: 1/2

  y-intercept: 9/2 = 4.5

  points on the line: (1, 5), (-3, 3)

The general form ...

  x < ( ) . . . . means the line is dashed and shading is to the left.

__

Solution Region

The lines have slopes of opposite signs, so cross in a fashion that forms an "X" on the graph. Shading is left of both lines, so will be in the left quadrant of the X. The boundary lines are not part of the solution region.

_____

Additional comments

The boundary line will be solid when the inequalitiy includes the "or equal to" case. This is identified by the symbols ≤ or ≥. Here, we have the symbol <, which does not include the "or equal to" case, so the boundary line is dashed. (The same would be true for an inequality using >.)

To determine shading direction, it is convenient to pick a variable with a positive coefficient, and look at its relation to the inequality symbol. In the first inequality, we could choose either of ...

x < ( ) . . . . . shading left of the dashed liney < ( ) . . . . . shading below the dashed line

__

In the second inequality, the only variable with a positive coefficient is x, and its relation to the inequality symbol is ...

x < ( ) . . . . . shading left of the dashed line

If we were to rewrite the second inequality to give the y-variable a positive coefficient, we could get either of ...

y > ( ) . . . . . multiply by -1/2( ) < y . . . . . add the opposite of the y-term

Either way, the shading is above the dashed line.

__

About points on the line:

The inequalities have odd constants (19, -9) and coefficients with different parity (one even, one odd). That makes it convenient to choose an odd value for the variable with the odd coefficient. The result will be an integer value for the variable with the even coefficient.

Use substitution to solve the system.

-4x+5y = -26

y = 3x-14

Answers

Answer:

x= 4, y= -2

Step-by-step explanation:

To solve the system by substitution, start by labelling the two equations:

-4x +5y= -26 -----(1)

y= 3x -14 -----(2)

Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.

Substitute (2) into (1):

-4x +5(3x -14)= -26

Expand:

-4x +15x -70= -26

11x= 70 -26

11x= 44

Divide both sides by 11:

x= 44 ÷11

x= 4

Substitute x= 4 into (2):

y= 3(4) -14

y= 12 -14

y= -2

How many lines of symmetry does the letter have?

0
1
2
3

Answers

The answer is 0. Please give me brainliest!
0 because if you put a line down the middle of the shape anywhere, it wouldn’t be equal parts on both sides

Annabelle missed 30 questions on her multiple choice science final that had a total of 200 problems. What percentage of questions did Annabelle answer correctly?

Answers

Answer:

Annabelle answered 85% of the answers correctly.

Step-by-step explanation:

You would do 200-30 questiosn to get 170 questions that she answered right. You would then do 170/200 to get 0.85. 0.85 in decimal form is equal to 85%. I hope this helps! :)

What is the value of 1500 divided by (6 squared + 43) x 37

Answers

Rewrite : [tex]1500 : (6^{2} +43)[/tex] x 37

Simplify : [tex]1500 : 79[/tex] x 37 = 702.531646...

Round to :
- Nearest whole number : 703
- 1 d.p : 702.5
- 2 d.p : 702.53
- 3 d.p : 702.532

The value of the expression when 1500 divided by (6 squared + 43) x 37 using simplification is 702.531647.

A collection of constants, variables connected using one or more arithmetic operator is called an expression.

The way of writing the complex mathematical problems into simpler forms using certain way is called simplification.

Simplification is solved using BODMAS rule.

The expression 1500 divided by (6 squared + 43) x 37 can be written in mathematical form as:

[tex]\dfrac {1500}{((6)^2 + 43)} \times37[/tex]

This can be simplified as,

[tex]\dfrac {1500}{(36 + 43)} \times37[/tex]

[tex]\dfrac {1500}{79} \times37[/tex]

On further solving, it results to 702.531647.

The value of the given expression is 702.531647.

Learn more about expressions here :

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