Mathematics High School

The area of the triangle is 22.4cm^2.
Calculate the length, b, of the longest side of the triangle.

Please help, I will mark first correct answer brainliest.

The Area Of The Triangle Is 22.4cm^2.Calculate The Length, B, Of The Longest Side Of The Triangle.Please

Answers

Answer 1

Answer:

The longest side length b is approximately 13.172 cm

Step-by-step explanation:

The given parameters are;

The area of the triangle = 22.4 cm²

The given angles of the triangle = ∠97°

The given side of the triangle = 3.7 cm

The formula for the area of a triangle, A = 1/2 × a × b × sin(C)

Where;

a, and b are the side legs forming the angle C

Therefore,  we have;

A = 22.4 = 1/2 × 3.7 × a × sin(97°)

a =  22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199

a ≈ 12.199 cm

Therefore, by cosine rule, we have;

b² = a² + c² - 2 × a × c × Cos(B)

Substituting the values, gives;

b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)

b² ≈ 173.507

∴ b ≈ √173.507 ≈ 13.172

b ≈ 13.172 cm

Related Questions

Every month Michael pays $39.95 for phone service plus $0.10 for every text message over a preset limit. Which equation represents the amount of money Michael pays for phone service each month, y, with x text messages over the limit? what is the equation?

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39.95+.10x=y
X being the text messages and y the amount paid

Find the equation of the line shown.

Answers

Answer:

I think that it is y= -2x +9

Step-by-step explanation:

I am sure about the slope but the y-intercept (9) might be wrong.

Can someone help pls

Answers

See the attchment because if i typed it, it would be confusing
[tex] \frac{6}{12} = \frac{1}{2} [/tex][tex]\frac{24}{30} = \frac{4}{5} [/tex][tex] \frac{9}{36} = \frac{1}{4} [/tex][tex] \frac{15}{24} = \frac{5}{8} [/tex][tex] \frac{9}{18} = \frac{1}{2} [/tex][tex] \frac{12}{9} = \frac{4}{3} [/tex][tex] \frac{5}{10} = \frac{1}{2} [/tex][tex] \frac{24}{32} = \frac{3}{4} [/tex][tex] \frac{10}{35} = \frac{2}{7} [/tex][tex] \frac{18}{90} = \frac{2}{10} = \frac{1}{5} [/tex][tex] \frac{8}{32} = \frac{1}{4} [/tex][tex] \frac{18}{14} = \frac{9}{7} [/tex][tex] \frac{2}{6} = \frac{1}{3} [/tex][tex] \frac{12}{18} = \frac{6}{8} = \frac{3}{4} [/tex][tex] \frac{24}{9} = \frac{8}{3} [/tex][tex] \frac{7}{28} = \frac{1}{4} [/tex][tex] \frac{6}{21} = \frac{2}{7} [/tex]

5x +9–3(x-1)=(3x –13)+(4x -30)
Help please

Answers

Answer:

x = 11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

5x + 9 - 3(x - 1) = (3x - 13) + (4x - 30)

Step 2: Solve for x

Distribute 3:                              5x + 9 - 3x + 3 = 3x - 13 + 4x - 30Combine like terms:                 2x + 12 = 7x - 43Subtract 2x on both sides:      12 = 5x - 43Add 43 on both sides:             55 = 5xDivide 5 on both sides:            11 = xRewrite:                                     x = 11

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    5(11) + 9 - 3(11 - 1) = (3(11) - 13) + (4(11) - 30)Multiply:                               55 + 9 - 3(11 - 1) = (33 - 13) + (44 - 30)Subtract:                              55 + 9 - 3(10) = 20 + 14Multiply:                               55 + 9 - 30 = 20 + 14Add:                                     64 - 30 = 34Subtract:                              34 = 34

Here we see that 34 does indeed equal 34.

∴ x = 11 is a solution of the equation.

Answer:

x=11

Step-by-step explanation:

[remember: (-)(-) is (+) , (-)(+) is (-) , (+)(+) is (+)]

5x + 9 – 3(x-1) = (3x –13) + (4x -30)

5x + 9 -3x + 3 = 3x -13 + 4x -30

5x -3x + 9 + 3 = 3x + 4x -13 -30

2x + 12 = 7x - 43

2x - 7x = -43 - 12

-5x = -55

x = -55/-5

x = 11

hope you understood!!

Michael and Imani go out to eat for lunch. Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

25.30*8% tax = 2.02 tax

total 25.30+2.02= $27.32

Answer:

$27.32

Step-by-step explanation:

Multiply $25.30 by 0.08 (8% is equal to 0.08)

2.024

Add 2.024 to $25.30

That would be 27.324

Round to the nearest hundredth

$27.32

Hope this helps :)

Please consider Brainliest :)

-3\10d= -4\5 this is just so i can get answer ggggggggggggggggggg

Answers

Answer:

d = 8/3

Step-by-step explanation:

A store sells 3 cans of beans for $9. What is the price of 7 cans of beans?

Answers

Answer:

21

Step-by-step explanation:

because you  divide 9 byy 3 and you get 3 so then you do 7 x 3 7x3 is 21

Solve for x in the equation: 2x-7=14

Answers

Add 7 to both sides
2x = 21
Divide by 2
X = 10.5

Answer: x=10.5

Step-by-step explanation:

To solve for x, we want to use our properties to isolate x.

2x-7=14           [add both sides by 7]

2x=21              [divide both sides by 2]

x=10.5

Now, we know that x=10.5.

Gloria pays her insurance three times each year. The first payment is 50% of the annual
premium, and each of the next two payments is 25% of the annual premium. If the annual premium is
$1024, how much is each payment?

Answers

Answer:

First payment (50%) would be 512$

The next two payments would be 32$ each

Explanation:

.5(1024)= 512

.25(512)=128

.25(128)= 32

HURRYYYYY
Which system of linear inequalities is graphed?

Answers

I would have put C. Because if you look at the triangle it makes then do the math with squared numbers then you should get c.  

what are the three products of celullar respiration

Answers

Answer:

Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.

Step-by-step explanation:

i need the answer for this question

Answers

Answer:

x=5

y=7

(5,7)

Step-by-step explanation:

solved by substitution.

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Answers

Answer:

Step-by-step explanation:

The two integers are 10 and 9

10 + 9 = 19

10 x 9 = 90

The two numbers are 9 and 10.

What are integers?

A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero

Let the two integers be x and y.

Given that, the sum of the integers is 19, therefore,

x + y = 19

x = 19 - y

Given that, the product of the integer is 90:

xy = 90

(19-y)y = 90

19y - y² = 90

y² -19y + 90 =0

y² -10y - 9y + 90 = 0

y(y - 10) -9(y - 10) = 0

(y -9)(y - 10) = 0

y = 9 and y = 10

Hence, the two numbers are 9 and 10.

Learn more about integers:

https://brainly.com/question/15276410

#SPJ2

What is the answer to this
2(x-5)-6=-18

x=___

Answers

Answer:

x= -1

Step-by-step explanation:

Distribute:

2(x -5) -6 = -18

2x -10 -6 =-18

Subtract the numbers:

2x -10 -6 =-18

2x -16 = -18

Add 16 to both sides of the equation:

2x =16 += -18

2x -16 +16 = -18 +16

Simplify:

2x = -2

Divide both sides of the equation by the same term:

2x/2 = -2/2

Simplify:

x=-1

Answer:

x = -1

A number x is greater than 3.

Answers

Answer:

4,5,6,7,8,9..........................

Find the slope of the line that contains (1, 6) and (10.-9).

Answers

Answer:

-5/3

Step-by-step explanation:

m=−9−6/10−1

m=−15/9

Slope=

−15/9=−5/3

HELP ASAP OTS DUE IN 5 MINUTES!!!!

Find the slope of the line.

0-5
0 -1
O 1
None of the above

Answers

Answer:

0 -1

Step-by-step explanation:

because the line is going down which is negative

Every week, Hector’s 20 hours earns $210.00. He earns a constant amount of money per hour.

Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.

Answers

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in 2 weeks 40

Step-by-step explanation:

This proves that the equation is true

2x+3y = 17
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Find x

Answers

Answer:

x = 7

Step-by-step explanation:

Given the equations

2x + 3y = 17 → (1)

2y + z = 1 → (2)

5x + 10z = 25 → (3)

Rearrange (2) expressing z in terms of y

z = 1 - 2y

Substitute z = 1 - 2y into (3)

5x + 10(1 - 2y) = 25

5x + 10 - 20y = 25 ( subtract 10 from both sides )

5x - 20y = 15 → (4)

Multiply (1) by 20 and (4) by 3, then add to eliminate the y- term

40x + 60y = 340 → (5)

15x - 60y = 45 → (6)

Add (5) and (6) term by term to eliminate y, that is

55x = 385 ( divide both sides by 55 )

x = 7

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

From the equation [tex]2y + z = 1[/tex] , we can separate [tex]z[/tex] so that [tex]z = 1-2y[/tex].

The equation [tex]5x+10z = 25[/tex] can then be turned into:

[tex]5x+10(1-2y) = 25[/tex]

[tex]5x+10-20y = 25[/tex]

[tex]5x -20y = 15[/tex]

[tex]x-4y = 3[/tex] (divide by [tex]5[/tex] on both sides)

We can now use elimination to solve for one of the variable:

[tex]2(x-4y) = 2\times3[/tex] (times 2 to get [tex]2x[/tex] for elimination)

[tex]2x-8y=6[/tex]

[tex]2x+3y-(2x-8y) = 17-6[/tex]

[tex]11y = 11[/tex]

[tex]y = 1[/tex]

Now, we can use substitution to solve for [tex]x[/tex]:

[tex]2x+3y = 17[/tex]

[tex]2x+3 = 17[/tex]

[tex]x = 7[/tex]

Hope this helps :)

Mrs. Daniels recorded the weights of nine boxes of strawberries in her booth at a farmer's market. The weights of the boxes
shown.
2
What is the average weight, in pounds, of the boxes of strawberries?
OB.
OA 13 pounds
1 pounds
OC. 2 pounds
OD. 2, pounds
Reset
Next

Answers

Answer:

The answer is C. 2 pounds

Step-by-step explanation:

Add all the numbers up and then divide by the numbers of sets. The average is the same as the mean.

This is for the ones on Plato

What is the slope of 3x-2y=7?

Answers

Answer:

The slope is -3/2

Step-by-step explanation:

Hope this helped have a good day!

Find the area of the shape below

Answers

Answer:

????

Step-by-step explanation:

Answer:

where's the shape

Step-by-step explanation:

what's the length and width, maybe I can help

The length of a rectangle is represented by 4 + 6x. The width is half the length. What expression represents the perimeter of the rectangle? Explain your reasoning​

Answers

Answer:

12+18x is the perimeter

Step-by-step explanation:

4+6x+4+6x+1/2(4+6x)+1/2(4+6x)=

3(4+6x)=

12+18x

Can someone help me out with this please!
What is the domain and range of the function: y= 10(4) + 100

Domain: ____
Range: ____

Answers

Domain is negative infinity to positive infinity or all real numbers

Range is 140 because it would be a straight line

7. What is the mass of 20.6cm3 of iron if iron
has a density of 7.87g/cm3?
A. 162.1 g/cm3
B. 162.1 cm3
C. 162.1 g/mL
D. 162.1 g

Answers

Answer:

Option B

Step-by-step explanation:

Subscribe to RANDOM TOPICS TRENDING on youtub. Thank you.

solve each system using elimination


8x+lly = 20 5x - 11y = -59​

Answers

Answer:

8x+lly=205x-11y=-59u200b

Step-by-step explanation:

i calculated it

What would be the second step in solving the equation y−16=3y?
Divide both sides by 4
Divide both sides by 2
Divide both steps by -2
Divide both steps by -4

Answers

Answer:

Divide both sides by 4

Step-by-step explanation:

Please give brainliest

Answer:

divide both sides by 2

Step-by-step explanation:

becoz first step is move the numbers

pliz give a brainliest


1. The sum of a number and ten.

Answers

Answer: X+10

X+10
Explanation:
Break down the information given to you to try and identify what the algebraic expression must looks like. You know that you're dealing with
a sum
→
this means that you are adding something, so you're going to use the
+
sign;

of a number
→
this means that you're dealing with a variable. The most common notation for a variable is
x
.

and 10
→
this is simply an integer that must appear in the algebraic expression along the variable
x
.

So, put all this together to get
x
+
10
You're adding an unknown number,
x
, to an integer,
10

Answer:

x+10

Step-by-step explanation:

sum = addition (+)

number = variable because we don't know what the number is yet (x)

ten=ten

So by this we can get x+10

In Joey's neighborhood the ratio of families with dogs to families with cats is 5 to 2. There are 15 more families with dogs than families with cats. How many families have cats, and how many families have dogs?

Answers

Answer:

10 families have cats

25 families have dogs

Step-by-step explanation:

The difference of ratio units is 5-2 = 3. The difference in pet counts is 15, so we can see that each ratio unit stands for 15/3 = 5 pets. Then ...

 dogs : cats = 5 : 2 = (5·5) : (2·5) = 25 : 10

There are 10 families with cats and 25 families with dogs.

Answer:

B D and E.

Step-by-step explanation:

Your payment is $350 per month for 48 months and you made a 3,000 down payment?

Answers

Answer:

Your total cost would be $19800

Step-by-step explanation:

350*48

=16800

+3000

=19800

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