Find the length of side AB. Give your answer to 1 decimal place.

Find The Length Of Side AB. Give Your Answer To 1 Decimal Place.

Answers

Answer 1

Answer:

Length of side AB = 5.6 cm

Step-by-step explanation:

From the figure attached.

In right triangle ABC,

m∠ABC = 62°

m(BC) = 12 cm

By applying Cosine rule in this triangle,

Cos62° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

Cos62°= [tex]\frac{AB}{BC}[/tex]

0.46947 = [tex]\frac{AB}{12}[/tex]

AB = 12 × 0.46947

AB = 5.63

     ≈ 5.6 cm  

Therefore, length of side AB = 5.6 cm

Answer 2

Length of side AB = 5.6 cm.

Calculation of the length of side:

Since In right triangle ABC,

m∠ABC = 62°

m(BC) = 12 cm

Here we used the cosine rule

So, it is

[tex]Cos 62 = AB\div BC\\\\0.46974 = AB\div 12[/tex]

So, AB = 5.6 cm

hence, Length of side AB = 5.6 cm.

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Related Questions

Find the distance between the points. (2,3) and (-3,-6)

Answers

Answer:

D = 10.3

Step-by-step explanation:

Distance Formula = √(x₂-x₁)² + (y₂-y₁)²

D = [tex]\sqrt{(-3-2)^2 + (-6-3)^2}[/tex]

D = [tex]\sqrt{(-5)^2+(-9)^2}[/tex]

D = [tex]\sqrt{25+81}[/tex]

D = [tex]\sqrt{106}[/tex]

D = 10.3

Erica and John are making brackets.Erica makes 25 bracelets John makes m More bracelets than Erica which expression represents the total number of bracelets Erica and John made

Answers

Answer: 50 + m

Step-by-step explanation:

From the question, Erica and John are making brackets and Erica makes 25 bracelets while John makes m more bracelets than Erica. The total number of bracelets made will be:

Erica bracelet = 25

John bracelet = 25 + m

Total bracelet = 25 + 25 + m

= 50 + m

The expression that represents the total number of bracelets Erica and John made is 50 + m

when costprice and selling price is given how to calculate weather it is loss or profit?​

Answers

Answer:

Selling price - cost price = profit, when Selling Price is more than Cost Price

Cost price - selling price = loss, when cost Price is more than sellIng Price

What is the solution to the problem rounded to the correct number of significant figures?
12.77 + 0.8 = ?
A. 14
B. 13.6
C. 13.57

Answers

Answer:

B - 13.6

Step-by-step explanation:

"What is the solution to the problem rounded to the correct number of significant figures?"

When you put it in a calculator, it will pop up as 13.57. You still want to round, so the only reasonable answer that you have is B, which is 13.6.

The solution to the problem rounded to the correct number of significant figures is,

⇒ 13.6

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Since, The rules for counting significant figures in addition:

1- The result should contain the decimal points as the fewest one of the added numbers.

12.77 has two decimals and 0.8 has 1 decimal,

so the result should contain 1 decimal.

The result of (12.77 + 0.8) is,

⇒ 13.57.

2- Now, we should minimize the result to contain 1 decimal, so we round the number beside the first decimal (7).

It is higher than 5, so increase the first decimal by 1.

So, the final result is 13.6.

Thus, The solution to the problem rounded to the correct number of significant figures is,

⇒ 13.6

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What are the solutions to the nonlinear system of equations below? Check all that apply x ^ 2 + y ^ 2 = 4 (x ^ 2)/(2 ^ 2) - (y ^ 2)/(2 ^ 2) = 1

Answers

Answer:

hey did you happen to get the answer for this?

Step-by-step explanation:

The answer is -2.0 and 2.0



Judy just calculated the standard deviation for a project she is working on. The value for the standard deviation is a small number. What does this represent?


The data is spread far from the mean.

The data is spread close to the mean.

The data is spread equal to the mean.

None of these choices are correct.

Answers

Answer: b) The data is spread close to the mean

Step-by-step explanation: Theoretically, when the standard deviation of a statistical data is large or high, it simply means that the values in such statistical data set are farther away from the mean, On the other hand when the standard deviation is small or low, it simply means that the values of such statistical data are close to the mean of those data on average.

Therefore Judy's low standard deviation for her project simply indicates that her statistical data set is spread close to the mean.

surface area of a triangular prism

Answers

Answer:

54ft squared

Step-by-step explanation:

All faces:

Front: 2*3/2=4.5f squared * 2 (other side)= 9ft squared

Sides: 10*3/2= 15ft squared * 2 (other side)= 30ft squared

Bottom: 3*10/2= 30/2= 15ft squared

=54 ft squared

Surface area of the triangular prism is 96 feet.

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

A triangular prism has 2 triangular bases and 3 rectangular lateral faces.

Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height

There are 2 triangles at the top and bottom.

Here base = 3 feet and height = 2 feet

Total surface area on the top and bottom = 2 × [tex]\frac{1}{2}[/tex] × base × height

                                                                     = base × height

                                                                     = 3 × 2

                                                                     = 6 feet

There are 3 rectangular faces.

Area of the rectangle = Length × width

Here, length = 10 feet and width = 3 feet

Area of the rectangular face = 10 × 3 = 30 feet

Since there are 3 rectangular faces,

Total lateral surface area = 3 × 30 = 90 feet

Total surface area of the triangular prism = 90 + 6 = 96 feet

Hence the total surface area of the given triangular prism is 96 feet.

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James is working at a place that ships boxes. Each box is rectangular prism that measures 2 ft long, 3 ft
wide, and 2 ft tall. He is loading a small trailer that has 396 cu ft of space. What is the maximum number
of boxes he can fit inside the trailer?

A.66
B.132
C.33
D.12

Answers

Answer:

a) 66

Step-by-step explanation:

andy was given data to draw 3 scatter diagrams B , which line of best fit should have not been drawn explain your answer

Answers

Answer:

A line of best fit can only be drawn if there is strong positive or negative correlation. The line of best fit does not have to go through the origin. The line of best fit shows the trend, but it is only approximate and any readings taken from it will be estimations.

Step-by-step explanation:

Answer:

diagram b no correlation

Step-by-step explanation:

Elsa sold 37 pairs of earrings for $20 each at the craft fair. She is going to use 1/4 of the money to buy new CDs and is going to put the rest of the money in her savings account. How much money will she put in her savings account?

Let “s” stand for he amount of money saved

1. Equation:

2. How much money did she spend on CDs?

3. How much money did she out in her savings account?



Answers

Answer:

185 -> Spent on new CD's

$ 555 -> Savings Account

Steps:

37*20 = 740/4 = 185 -> Spent on new CD's

740 - 185 = $ 555 -> Savings Account

Description:

The 2 question is asking that how much money did she spend on her CD. We times 37 and 20 = that will equal 740 then we divide 740 by 4 = 185. Meaning we just solved for question 2. Answer is 185 spent on new CD.

For question 3 this time we get 740 again we do it by 37 times 20 equal 740. we minus it by 185 the spent on new CD answer. so 740-185= $555. So answer for question 3 is $555 to her saving account.

Please mark brainliest

Hope this helps.

What is the value of x?
0
va units
1v3 units
2/3 units
3/2 units

Answers

Answer:

Step-by-step    

In ordinary arithmetic, the expression has no meaning, as there is no number which, when multiplied by 0, gives a (assuming a ≠ 0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 00 is also undefined; when it is the form of a limit, it is an indeterminate form. explanation:

Heather and Carlos each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Heather spent $171 on 14ft^2 of grass sod and 5 geraniums. Carlos spent $117 on 6ft^2 of grass sod and 7 geraniums. Find the cost of one ft^2 of grass sod and the cost of one geranium.

Answers

Answer:

The cost of one ft^2 of grass sod = $9

the cost of one geranium= $9

Step-by-step explanation:

Hi, to answer this question we have to write a cost equation for each one:

Heather : 14x+5y =171

Carlos: 6x+7y=117

Where x is the cost of one ft^2 of grass sod and y is the cost of one geranium.

Multiplying Heather's equation by 7, Carlos' equation by 5, and subtracting Carlos' cost to Heather's cost:

98x+35y=1,197

-

30x+35y=585

____________

68x=612

Solving for x:

x = 612/68

x=$9 per ft2

Replacing x=9 on any equation:

6(9)+7y=117

54+7y=117

7y=117-54

7y=63

y=63/7

y=$9  

The roots of a certain quadratic equation is 1 and 2/3. Determine the equation

Answers

Answer:3x^2-5x+2=0

Step-by-step explanation:

Format of a quadratic equation= ax^2 +bx+c

Let x=1 and 2/3

When x=1

x-1=0.......(1)

When x=2/3

x-2/3=0.........(2)

Compare the equations

(x-1)(x-2/3)=0

x^2-2/3x-x+2/3=0

x^2-5/3x+2/3=0

Multiply all terms by 3

3x^2-5x+2=0

plz help!!! marking brainiest!!

Answers

Answer: 3(x-12)(x+2)

What is the slope of the line graphed below

Answers

Answer: D 2

Step-by-step explanation: Because slope is the diffrence between the two points y/x which is 6/3 which is equal to 2

Answer:

Slope= 2

Step-by-step explanation:

There are three steps in calculating the slope of a straight line when you are not given its equation.

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate the slope.

please mark me brainliest :)

someone help please!

Answers

This is the answer:

What must be true in order for line A to be parallel of line b?

Answers

Answer:

Its the first option.

Step-by-step explanation:

if they are both 180° then they can both go on forever without touching each other.

Answer:

c or (5x-54)°=(3x+16)°

Step-by-step explanation:

Since they are alternate angles, they must be equal. Alternate angles are always equivalent, and since you can't choose more than one answer, then they can't equal 180° or 90°.

which expression shows the first step in dividing 5x + 3 by x?

Answers

First you need to make table value
Second y=5x+3
Y is your output and x is your input

Juan recorded the number of pages each student read this week. His data are shown: 73, 79, 81, 50, 72, 112, 83, 76, 75, 80, 81 How many outliers do Juan’s data have?
a.0
b.1
c.2
d.3

Answers

Answer:

2

Step-by-step explanation:

50 and 112 are significantly different from the other data

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

I answered this already for you: https://brainly.com/question/16790720

Which is an exponential decay function?
f(x)=3/4(7/4)^x
fx) = 2/3(4/5)^-x
f(x) = 3/2(8/7)^-x
f(x)= 1/3(-9/2)^x

Answers

Answer:

c)3/2(8/7)^x

Step-by-step explanation:

Evaluate the functions. 

1. Because 7/4 > 1 and the exponent is positive,

  the function does not decay.

2.Because 4/5 < 1 and the exponent is negative,

   the function does not decay.

3. Because 8/7 > 1 and the exponent is negative,

   the function decays.

4. Because 9/2 > 1 and the exponent is positive,

   the function does not decay.

A composite plot the functions verifies the answer.

If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger.  That's because the base is greater than 1 and the x is negative.

please mark me brainliest :)

The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1

Exponential equations

The standard form of an exponential equation is expressed as:

y = a(b)^x

where

a is the base

x is the exponent

b is the rate (determine whether the rate is growth or decay)

If the value of b is less than 1 then it is a decay function. The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1

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I really need help in this one I’m stuck if someone could help me I would REALLY appreciate it ☹️ it’s geometry

Answers

None of the answers makes sense for me so I would think it would be D. But I’m not the greatest in geometry so don’t quote me on that. Sorry if that didn’t help

12. The overtime rate of pay which is one-and-a-half times the basic rate of $240
per hour is

Answers

Answer:

300 inches tall or a flat surface is the best way you could use it to be

Use the vectors v = 7i + 2j and w = –4i + j to find 10v + 3w

Answers

Answer:

v = 7i + 2j

w= - 4i + j

10v = 10(7i + 2j) = 70i + 20j

3w= 3(- 4i + j) = -12i + 3j

10v + 3w

= 70i -12i + 20j +3j

= 58i + 23j

Hope this helps.

Share £747 in the ratio 2:7 between Tom and Ben.
Tom will get
£
Ben will get
£

Answers

[tex]tom \: will \: get \:£166 \\ ben \: will \: get \: £581\\ solution \\ let \: the \: ratios \: be \: 2x \: and \: 7x \\ 2x + 7x = 747 \\ or \: 9x = 747 \\ or \: x = \frac{747}{9} \\ x = £83 \\ replacing \: value \\ 2x \\ = 2 \times 83 \\ = 166 \\ 7x \\ = 7 \times 83 \\ = 581 \\ hope \: it \: helps[/tex]

Answer:

Tom=£166

Ben=£581

Step-by-step explanation:

Which is the value of this expression when p=-2 and q=-1?

A. -4

B. -1/16

C. 1/16

D. 4

Answers

Answer:

D. 4

Step-by-step explanation:

[tex] [(p^2) (q^{-3}) ]^{-2}.[(p)^{-3}(q)^5] ^{-2}\\\\

=[(p^2) (q^{-3}) \times(p)^{-3}(q)^5 ]^{-2}\\\\

=[(p^{2}) \times(p)^{-3} \times (q^{-3}) \times(q)^5 ]^{-2}\\\\

=[(p^{2-3}) \times (q^{5-3}) ]^{-2}\\\\

=[(p^{-1}) \times (q^{2}) ]^{-2}\\\\

=(p^{-1\times (-2)}) \times (q^{2\times (-2) }) \\\\

=p^{2}\times q^{-4} \\\\

= \frac{p^2}{q^4}\\\\

= \frac{(-2)^2}{(-1)^4}\\\\

= \frac{4}{1}\\\\

= 4[/tex]

could you guys help with this? thank you ;-;;

Answers

Answer:

144degrees

Step-by-step explanation:

In a regular pentagon, the sum of interior angles is 540. So one angle is 108. In the angles adjacent to x, we see two of the interior angles. We know that the angles around one point is 360. So, we add the two 108 degrees and subtract it from 360. Thus, 144.

Hope it helps

Deanna used 2.5 deciliters of milk in a recipe. How many milliliters of milk did Deanna use?
Number of Deciliters
x or ÷
Milliliters is 1 Deciliter
=
Number of Milliliters






=


Answers

Answer:

Milliliters is 1 Deciliter

Step-by-step explanation:

URGENTE!
(Foto 1)Decomponha o radicando em fatores primos e calcule o valor de cada radical
(Foto 2)Calcule
Alguem responde pfvr tenho até hj de noite pra responder

Answers

Step-by-step explanation:

Do it yourself will be help ful

[tex]6113 {2x}^{2} [/tex]

*I WILL MARK YOU BRAINLIEST!!!!*

Answers

Answer:

The answer would be -9 and -3 which would be B and D

Step-by-step explanation:

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