Mathematics High School

Given ∆ABC, m∠A=120°,b=13 cm,c=15 cm. Find the length of side a. Draw the triangle and label it. Show all work to find the missing side length. Use appropriate units.

Answers

Answer 1

Answer:

[tex]24.269\ \text{cm}[/tex]

Step-by-step explanation:

[tex]m\angle A=120^{\circ}[/tex]

[tex]b=13\ \text{cm}[/tex]

[tex]c=15\ \text{cm}[/tex]

From the law of cosines we know that

[tex]a^2=b^2+c^2-2bc\cos A\\\Rightarrow a=\sqrt{b^2+c^2-2bc\cos A}\\\Rightarrow a=\sqrt{13^2+15^2-2\times 13\times 15\cos120^{\circ}}\\\Rightarrow a=24.269\ \text{cm}[/tex]

The side [tex]a[/tex] of the triangle is [tex]24.269\ \text{cm}[/tex].

Given ABC, MA=120,b=13 Cm,c=15 Cm. Find The Length Of Side A. Draw The Triangle And Label It. Show All

Related Questions

Write the equation of a line in slope-intercept form. (Brainliest)

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the equation of the line is y=x-2
y = -2x + 1 pretty sure this is the answer lol

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Answer:

b. [tex] {x}^{2} - 7x - 18[/tex]

Step-by-step explanation:

Area of shaded region

[tex] = (2x + 4)(x - 5) - (x + 2)(x - 1) \\ \\ = 2 {x}^{2} - 10x + 4x - 20 \\ - {x}^{2} + + x - 2x + 2 \\ \\ = {x}^{2} - 7x - 18[/tex]

Ony scored 22 and 25 points in the first two games of a basketball tournament. Tony's goal is to make the All-Tournament Team. So far, in all of the tournaments he's been to, all of the players who made the All-Tournament Team scored an average between 27 and 32 points in the tournaments. Determine the range of points Tony should score in his next game to make the All-Tournament Team.

Answers

Answer:

34 and 49

Step-by-step explanation:

Calculation to Determine the range of points that should be score in his next game

Based on the information given we were told that he scored 22 and 25 points in the first two games which means that his current scores will be : 22 and 25 point

Secondly we were told that Tony All-Tournament Team as well scored an average between 27 and 32 points in the tournaments based on this we are going to calculate Tony's next score in the next game.

Hence,

Let x be Tony's next score in the next game.

Now let calculate the lower required score of 27 points

(x + 22 + 25)/(25-22) = 27

(x + 22 + 25)/3 = 27

(X+47)=3*27

Collect like terms

x = 81 - 47

x= 34

Let calculate the upper required score of 32 points

(x + 22 + 25)/(25-22) = 32

(x + 22 + 25)/3 = 32

(X+47)=3*32

Collect like terms

x = 96 - 47

x= 49

Therefore the range of points that should be score in his next game will be 34 and 49

The rate of change is

A. -4
B. -1
C. 1
D. 4

Answers

the rate of change is 4 so your answer would be D. 4

Janna is using her calculator to convert to a decimal. The calculator displays 3.1666666. What could Janna assume from the string of sixes ?

A)
The calculator rounded the answer
B)
She entered the digits incorrectly.
The calculator truncated the answer
D
The answer is in scientific notation

Answers

The answer is B I’m pretty sure

John is stuck downtown Atlanta and has used is cell phone to order an Uber. The pick up fee is $20 with an additional charge of 0.25 cents per mile driven. Which equation below could be used to find out the total cost for a 30 mile trip? What is the total cost of the 30 mile trip?

Answers

Answer:

$25 + (0.25 * 30)

Step-by-step explanation:

Given that :

Cost of Uber :

Pick up fee = $25

Additional charge = 0.25 cent per mile driven

Cost of 30 mile trip :

Pickup fee + (additional charge * number of miles)

$25 + (0.25 * 30)

25 + 7.5

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1
Solve this quadratic using two different
methods. Show both methods.
x2 + 4x - 5 = 0

Answers

Answer:

x = -5 or x = 1

Step-by-step explanation:

[tex]x^{2} + 4x - 5 = 0\\(x+5)(x-1)=0\\[/tex]

NEED HELP ASAP, WILL GIVE BRAINLIEST

SPORTS The probability that Kelly makes a free throw is 0.85. What is the approximate probability that she makes at least 8 of her next 10 attempts??

a.
61%

b.
68%

c.
72%

d.
82%

Answers

D.........................

Find the measure of each numbered angle

Answers

Answer:

m∠1 = 54° m∠2 = 63° m∠3 = 117°

Step-by-step explanation:

We know that 117 + m∠2 = 180°, which when calculated is equal to 63. Now, we know that 63 + 63 + m∠1 = 180°. This comes out to be 54°. Finally, we know that m∠3 has to equal 117° because they are same side interior angles.

The measure of m<1, m<2 and m<3 are 54, 63 and 63 degrees respectively

The sum of angle in a straight line is 180 degrees, hence:

m<2 + 117 = 180

m<2 = 180 - 117

m<2 = 63 degrees

For the diagram, m<2 - m<3 = 63 degrees (alternate angle.)

Also, the sum of interior angle of the triangle is 180 degrees, hence:

m<2 + m<2 + m<1 = 180

63 + 63 + m<1 = 180

126 + m<1 = 180

m<1 = 180 -126

m<1 = 54degrees

Hence the measure of m<1, m<2 and m<3 are 54, 63 and 63 degrees respectively

Learn more on angles here: https://brainly.com/question/25770607

Can someone please help me with this ill mark you as brainlist

Answers

Isosceles: side

Right: angle

obtuse: angle

scalene: side

acute: angle

equilateral: side

Hope this helps!

If 20 chickens laid 120
eggs. At this rate, how
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chicken lay?

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Answer:

180 eggs is the correct amount.

I need help with this now, and only answer if you know what your doing and you actually know the answer:)

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the answer is b... using the rise over run method, you see that it goes up 3 and over 2:)

Can two triangles shown be proven congruent ?if so by which theorem or poslulate ?

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Answer:

theorem

Step-by-step explanation:

Please do it’s for algebra 1 it easy but I’m dumb

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Answer:

One solution:  (1,1)

Step-by-step explanation:

Where the lines cross.

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I
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Answers

Answer:

R = 9

Step-by-step explanation:

or you can rewrite it like this: r = 4 + 5

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Answer:

I think you are correct but I'm not sure

Step-by-step explanation:

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Answers

answers are 7, 5, 3, 1

Answer:

The answer is 3

Step-by-step explanation:

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5

3

1

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1. (-5, -7)
(-3, -3)
(0,3)
(1,5)
(-4,-5)

2. (-8,-6)
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Answer:

After Multiplying them.

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Step-by-step explanation:

See images attached

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Answers

Answer:

x is 56 and y is 65

Step-by-step explanation:

x=56
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EXPLANATION:
Angles inside a triangle add up to 180 degrees, and the angle of a line is 180 degrees. Given we have the angle outside the triangle of 124, do 180-124 to get x, or 56. Now we add 56 and 59, subtract that from 180, and get our y value!

What shape is common to the base of both a cylinder and a
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The answer to this question is B

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Answer:

262.5

Step-by-step explanation:

all you have to do is mutiply the decimal version of the percent so .35 by 750 which gives you the answer

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Answer:

262.5

Step-by-step explanation:

I'm going to let you in on a secret about how to answer these very easy. if you use a calulator you can do 35 then press the % button then press times 750. if you cant use a calculator then you can convert your percantage to a decimal.really what you do for that is just but a decimal point in frond of your numbers in the percentage and then multiply. i know that they dont tell u that in sixth grade so im telling  you to make ur year much easier. good luck kid! :)

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Please help and answer

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Answer:

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constant - 7

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Step-by-step explanation:

variables are letters

constants are added to variables and are only numbers

coefficients are numbers in front of variables.

Answer:

A. 5

B. 7

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Step-by-step explanation:

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Answers

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Answers

Answer:

f(-6)=4

Step-by-step explanation:

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What is the volume in cubic feet of a cylinder with a height of 3 feet and base radius of 2

Answers

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You're welcome...

The submarine is currently located at 10,000 feet below sea level but then rises 5,200. Where is the
submarine currently located?
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b. 5,200 feet below sea level
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Answers

Answer:

A. 4,800 feet below sea level

Step-by-step explanation:

10,000 feet below sea level = -10,000 feet

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=-10,000 + 5,200 = -4,800 feet

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In the diagram below of triangle BCD, E is a midpoint of BC and F is a midpoint of CD. If EF = 44 - 8x, and BD = 44 - 5x, what is the measure of BD?​

Answers

Answer:

BD = 24

Step-by-step explanation:

EF = 44 - 8x,

BD = 44 - 5x.

Since EF is a midsegment of ∆BCD, therefore, based on the Midsegment Theorem,

[tex] EF = \frac{1}{2}(BD} [/tex]

[tex] 44 - 8x = \frac{1}{2}(44 - 5x} [/tex]

Multiply both sides by 2

[tex] 2(44 - 8x) = 44 - 5x [/tex]

[tex] 88 - 16x = 44 - 5x [/tex]

Collect like terms

[tex] 88 - 44 = 16x - 5x [/tex]

[tex] 44 = 11x [/tex]

Divide both sides by 11

[tex] 4 = x [/tex]

x = 4

BD = 44 - 5x

Plug in the value of x

BD = 44 - 5(4) = 44 - 20

BD = 24

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