Classify the triangle based on the side lengths 7. 15 and 21​

Classify The Triangle Based On The Side Lengths 7. 15 And 21

Answers

Answer 1

Triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The sides of triangle are 7, 15 and 21.

Let the largest angle be θ.

cosθ=7²+15²-21²/2×7×15

=-167/210

Since arc cos(-167/210)=142.68 degrees.

θ=142.68 degrees.

Which means θ>90 degrees.

So its a obtuse triangle.

7+15=22>21

21-7=14<15

So those angles can make a obtuse triangle.

Hence, triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

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Related Questions

Some please help me I’ll give you brainlist answer

Answers

Answer:

Step-by-step explanation:

The area of the square is 3 units by 3 units. because the area of a square is side length squared.

side length = 3

side length^2 = 3 * 3 = 9

The area of a circle is much harder to reason out. You could start with the area of a square and use the diameter is 3 units. But the corners are rounded and you don't know off hand what the area of one of them is, let alone all 4. You are given a formula for circles area, but you have no real idea what the formula actually means. Does it take the corner area into account? At the beginning levels, we don't know.

Answer:

The area of the square is 9 aka [tex]3^{2}[/tex]

You can find it easily by just counting the number of squares inside the square, or by counting the number of squares at its length then multiplying it by its width; so 3 x 3 = 9

It wouldn't be as easy to find the area of the circle because you don't have the radius, nor diameter, so basically, no quantitative values could be used to at least guess.

Determine the unit rate. Use mental math when you can. 6 golf balls for $15

Answers

Answer:

1 golf ball : $2.50

Step-by-step explanation:

You can first divide 6 and 15 by 3, and get 2 and 5.Then, you divide 5 by 2, which is 2.5Therefore, the unit rate is 1 golf ball : $2.50

Fill in the missing numbers. 9.223 x ______ = 922.3 0.09223 x _______ = 9.223 92.23 x ______ = 922.3

Answers

Answer:

1. 100

2. 10000

3. 10

To make 8 dozen cookies, you must use 2 eggs. How many eggs are needed to make 40 dozen cookies? Use a proportion to solve.

Answers

Answer:

10 eggs for 40 dozens

Step-by-step explanation:

40÷8=5

5*2=10

Answer:For 40 dozen cookies, 10 eggs are required.Step-by-step explanation:

Our created proportion is 8:2::40:x

=> 8x = 80=> x = 10Conclusion:

Therefore, for 40 dozen cookies, 10 eggs are required.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

2. A new pump is used to empty the pool in Exercise 1. The equation
W= -275(2t - 7) represents the gallons of water w that remain in
the pool t hours after pumping starts.
a. How many gallons of water are pumped out each hour?
b. How much water is in the pool at the start of pumping?
c. Suppose there are 1,000 gallons of water left in the pool. How long
has the pump been running?
d. After how many hours will the pool be empty?
e. Write an equation that is equivalent to w= -275(2t - 7). What
information does it tell you about the situation?

Answers

Answer:

a.  550 gallons/hr.

b.  1925 gallons

c.  1.268 hours

d.  3.5 hours

Step-by-step explanation:

W = -275(2t-7), where t is hours since pumping starts.  Let's rewrite this in standard line format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).    In this case we'll use W and t instead of x and y.

W = -275(2t-7)

W = -550t + 1925

The 1925 figure represents the water volume when t = 0, the initial volume.  The slope of -550 is the rate at which water is being pumped out.  550 gallons/hr.

We can solve the equation for the hours required to make w=0:

W = -550t + 1925

0 =  -550t + 1925

550t = 1925

t = 3.5 hours

-

We can solve for when W = 1,000:

W = -550t + 1925

1000 = -550t + 1925

-925 = -550t

t = 1.682 hours

a.  550 gallons/hr.

b.  1925 gallons

c.  1.268 hours

d.  3.5 hours

We can also graph the function. attached.

 

4) A jet travels 450 miles in 2 hours. At this rate, how far could the jet fly in
14 hours? What is the rate of speed of the jet?

Answers

3150 miles in 14 hrs

225 mph

hope this helps!

what are the different types of geometric constraints that are applied to sketches, and what are their functions?

Answers

Some examples of geometric constraints include parallelism, perpendicularity, concentricity and symmetry. Parallelism occurs when two or more lines or axes of curves are equidistant from each other. Perpendicularity is a constraint in which lines or axes of curves intersect at right angles.

the area of a triangle is 162 square meters. the height is 18 meters. what is the base

Answers

1345533 is the answer because I want points

Answer:

Triangle Area = (1/2) * base * height

base = 2 * Area / height

base = (2 * 162) / 18

base = 324 / 18

base = 18 meters

Step-by-step explanation:

You went to a carnival. Each ride cost $2.50. Let n represent the
number of rides.

Answers

how much rides are there??

help ASAP please PLS​

Answers

Answer:

-103

Step-by-step explanation:

Just subtract

Answer:

-103

Step-by-step explanation:

You add all the numbers then put the negative sign.

Simplify
4^33 8^37
—————-
4^15 8^21

A. 4^18 8^58
B. 4^18 8^16
C. 8^48 16^58
D. 16^18 64^16

Answers

Answer:

A

Step-by-step explanation:

if you have 55 bad kids in classroom and 25 good kids how many bad have solve the equation

Answers

Answer:

none of them bc they're all bad kids

Step-by-step explanation:

If one of you guys wouldn’t mind helping me do this question it would really speed up the process I have like 10 minutes now

Answers

Answer:

13. 70(two digits 7 times 10 which is a multiple of 5)

Hope This Helps!!!

HELPPP PLZZ AND THANK YOU <3

Answers

Answer:

Step-by-step explanation:

I need this answer
ASAP!

Remainder of 52,259 divided by 215

Answers

Answer:

14

Step-by-step explanation:

52,259 divided by 215 is 243.065116279

so we know that the nearest whole number is 243.

243x215 is 52,245

subtract 52,245 from 52,259 which gives you the remainder of 14

Does anyone get this question?

Answers

Answer:

a= 121°

b=62°

c=59°

Step-by-step explanation:

I first found b because they are vertical angles

Because I know the measure of angle b I take 180 (total sum of a triangle) and subtracted 62 from 180 which gave me 59 and because both base angles are equal to each other I divided 118 by 2 which gave me 59. Giving me the measure of angle c.

By adding angles b and c they would give me the measure of angle a.

__________________________________________________________Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

thissssssssssssssssssssssssssssssssssssssss

Answers

Answer:

w represents

Step-by-step explanation:

up 2 is the y coordinates

The lifespan of a monarch butterfly is about 9 months. Assuming a 30-day month, how many minutes old is the butterfly?

Answers

Answer:

So 9 months is 273 days and 394200 minutes so if the butterfly spends  30 days means one month so it is 43800 minutes old .

hope it gonna help you.

Step-by-step explanation:

what is 72=2x+16x
please please helppppp meeee

Answers

Answer:

x = 4

Step-by-step explanation:

72 = 2x + 16x , that is

72 = 18x ( divide both sides by 18 )

4 = x

Answer:

x=4

Step-by-step explanation:

72=18x

72/18=4

x=4

Can someone plz help Me?

Answers

the answer to your question is B. A 5-minute reduction in the time to run a race

Answer: B

Step-by-step explanation: it is B bc all of them r postitive... 5 more worker is more people to help at a buisness

HAVE A WONDERFUL DAY!

A line passes through the point (4, -6) and has a slope of -2. Which is the equation of the line?
O y=-x-3
O y--RX-6
O y=-3x-
O y=-x-
o ya
-

Answers

Answer:

The posted photo says the slope is -(3/4).  I'll use that, instead of -2 as written in the question.

Step-by-step explanation:

The slope-intercept form of a straight line equation is y = mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

With a slope of -(3/4), we can write:  y = -(3/4)x + b.

To find b, use the given point (4,-6):

y = -(3/4)x + b

-6 = -(3/4)(4) + b   for (4,-6)

-6 =  -3 + b

b = -3

The line is y = -(3/4)x - 3

The first option.

write the equation of the line given the two points. (4,-3) and (3,1)

Answers

Answer:

y=-4x+13

Step-by-step explanation:

y=mx+b

slope =

1--3/3-4

4/-1

-4/1

y-1=-4(x-3)

y-1=-4x+12

y=-4x+13

Answer:

[tex]y = -4x + 13[/tex]

Step-by-step explanation:

First, find the slope (denoted by the variable, m). Use the following equation:

slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1, y_1) = (4 , -3)\\(x_2, y_2) = (3 , 1)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{3 - 4} = \frac{1 + 3}{-1} = \frac{4}{-1} = -4[/tex]

Use the slope-intercept form. The slope-intercept form is:

[tex]y = mx + b[/tex]

Use one of the given points to plug in for (x ,y). Also note that the slope (m) is equal to -4. Plug in the corresponding numbers to the corresponding variables:

[tex]y = mx + b\\(x , y) = (3 , 1)\\m = -4\\\\\\1 = (-4 * 3) + b\\1 = (-12) + b\\1 (+12) = b - 12 (+12)\\b = 1 + 12\\b = 13[/tex]

Plug in the slope (m) and the y-intercept (b) to get your equation:

[tex]y = -4x + 13[/tex]

~

Multiply
-4/5 • 3
Write your answer in simplest form.

Answers

Answer:

[tex]-2\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\frac{-4}{5} *\frac{3}{1}[/tex] multiply across

[tex]\frac{-12}{5}[/tex] turn into mixed number

[tex]-2\frac{2}{5}[/tex]

ABCD is a square. DEF is an equilateral triangle. Work out the size of the angle labelled d°.

Answers

Answer:

95

Step-by-step explanation:

Hope this helps :)

Merry Christmas. Have fun.

The size of ∠CDE labelled d° = 95° Given,

What is an angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Given,

In triangle DAF

∠DAF = 25°

∠DFA = 40°

Sum of all interior angles is 180°

∠DAF + ∠DFA + ∠ADF = 180°

25° + 40° + ∠ADF = 180°

65° + ∠ADF = 180°

∠ADF = 180° - 65°

∠ADF = 115°

Triangle DFE is equilateral

∠FDE = 60°

ABCD is an square

∠CDA = 90°

Now,

∠CDA + ∠ADF + ∠FDE + ∠CDE = 360°

90° + 115° + 60° + d° = 360°

d° = 360° - 265°

d° = 95°

Hence, 95° is the size of ∠CDE labelled d°.

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h(8) = -2(8)^2 + 4(8)- 7

Answers

Answer:

h = - 103/8

Step-by-step explanation:

1) Re-order terms so constants are on the left

8h = = -2(8)²+4(8)-7

2) Evaluate the exponent

8h = -2·64+4(8)-7

3) Multiply the numbers

8h = -128+4(8)-7

4) Multiply the numbers

8h = -128+32-7

5) Add the numbers

8h = -103

6) Divide both sides of the equation by the same term

8h/8 = -103/8

7) Simplify

- Cancel terms that are in both the numerator and denominator

h = -103/8

A class has 6 boys and 14 girls. What is the ratio in simplest form that compares number of boys to total number of students?
A. 6:14
B. 6:20
C. 3:7
D. 3:10

Answers

C) 3:7
hope this is helpful!

Which is the sum of two or more different monomials?

Answers

Answer: Polynomial

Step-by-step explanation:

Which values of k would cause this system of equations to have no solution? Check all that apply. 6x 4y = 14, 3x 2y = k â€"2 5 7 10 21.

Answers

The values of k that will cause the system of equations to have no solution is; k = 7 and 21

We are given the simultaneous equations;

6x - 4y = 14

3x - 2y = k

Now, for both equations not to have a solution it means that x and y can't be made to be subjects.

Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.

By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.

Thus;

2k = 14

k = 14/2

k = 7

Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.

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Answer:

-2, 5, 10, 21

A, B, D, E

X=-2y,x-y=9 solve by substitution SHOW ALL WORK

Answers

Answer:

x = 6, y = -3

Step-by-step explanation:

x = -2y

x-y = 9

Substitute x = -2y into the equation.

;(-2y)-y = 9

-3y = 9

y = 9/-3

y = -3

Substitute y = -3 into the equation.

x = -2y

x = -2(-3)

x = 6

create an equivalent ratio to 20:24 by dividing both sides by 4

Answers

Answer:

5:6

Step-by-step explanation:

20 divided by 4 = 5

24 divided by 4 = 6

So the ratio is 5:6

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