Find the length of side AB.
Give your answer to 1 decimal place.
12 cm
62°
А
B

Find The Length Of Side AB.Give Your Answer To 1 Decimal Place.12 Cm62B

Answers

Answer 1

The length of the side labelled, AB as represented in the image attached to the task content is; 5.63.

What is the length of the side AB given the angle B and side BC as in the image attached to the task content?

It follows from the task content that the length of the side AB is to be determined from the right triangle given in the task content.

Since the angle given is; B whose measure is; 62°. It consequently follows that the trigonometric ratio to be used is cosine;

Cos 62 = adjacent/ hypothenuse

Cos 62° = AB/12

AB = 12 Cos 62°

AB = 12 × 0.4695

AB = 5.63

Read more on trigonometric ratios;

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Related Questions

A cake mix calls for these ingredients. 2 cups of sugar 7 cups of flour 3 cups of milk 1 cup of oil Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios? StartFraction 3 Over 7 EndFraction greater-than StartFraction 2 Over 1 EndFraction StartFraction 2 Over 7 EndFraction less-than StartFraction 3 Over 1 EndFraction StartFraction 7 Over 1 EndFraction less-than two-thirds

Answers

Answer:

milk to oil - correctly shows ratio 3:1

Answer:

B 2/7 <3/1

Step-by-step explanation:

7/5 + 2/3 - 1 = ayuda porfa

Answers

Answer:

[tex]1\frac{1}{15}[/tex]

Step-by-step explanation:

[tex]\frac{7}{5}+\frac{2}{3}-1\\[/tex]

Convertir elemento a fracción: 1 = 1/1

[tex]=-\frac{1}{1}+\frac{7}{5}+\frac{2}{3}[/tex]

Mínimo común múltiplo de 1,5,3 = 15

Ajustar fracciones según el mcm

[tex]=-\frac{15}{15}+\frac{21}{15}+\frac{10}{15}[/tex]

Dado que los denominadores son iguales, combine las fracciones:

[tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\= \frac{-15+21+10}{15}\\\\[/tex]

Sumar Restar los números: -15 + 21 + 10 = 16

[tex]=\frac{16}{15}\\\\16\div 15 = 1 \: remainder 1\\\\=1\frac{1}{15}[/tex]

Can 7,11, and 3 make a triangle?

Answers

Answer:

No

Step-by-step explanation:

to form a triangle:a=7 , b=11, c=3

a+b>c                       a+c>b                     b+c>a

7+11>3                       7+3<11                   3+11>7

one condition is not applied, so no

Find the domain and range of each relation (use interval notation). Then determine if each relation is one-to-one.

Answers

RANGE OF BASE DIVIDE BY 2 always

Turn the Mix Number into a Improper Fraction a) 5 5 4 b) 3 8 3

Answers

Answer:

A: 25/4 B: 17/3

:)))))))))))))))))

Which of these is a simplified form of the equation 9y + 6 = 9 + 2y + 2y?

Answers

Answer:

y=3/5

Step-by-step explanation:

9y+6=9+2y+2y

9y+6=9+4y

9y-4y=9-6

5y=3y=3/5

Use the segment to complete the statements the value of x is

Answers

Answer:

Step-by-step explanation:

Which parent function is f(x) = |x|?
A. The quadratic parent function
B. The absolute value parent function
C. The linear parent function
D. An exponential parent function

Answers

Answer:

B. The absolute value parent function

Step-by-step explanation:

[tex]f(x)=|x|[/tex]

Referred to as absolute value, the value inside the bars is measured in terms of its distance from 0. Therefore:

[tex]|0|=0\\|3|=3\\|-3|=3[/tex]

In essence, a negative value within the bars becomes positive, while a positive value remains positive.

write a polynomial of least degree with roots 6 and. -8

Answers

Answer:

y = x² + 2x - 48

Step-by-step explanation:

Given the roots of the polynomial are x = 6 and x = - 8 , then the corresponding factors are

(x - 6) and (x + 8) and the polynomial is the product of the factors, that is

y = (x - 6)(x + 8) ← expand using FOIL

y = x² + 2x - 48

5) A tortoise's fastest rate of travel is 225 feet in 15 minutes. Write
this rate as a Unit Rate.

Answers

900 ft:1 hour

Or

900 ft/1 hour

Answer:

900 feet per hour

Step-by-step explanation:

225×4 = 900

15×4=60

the tortoise's rate of speed is 900 feet per hour

hope that helps.

Find the value of 2x+y when x=4 and y=3

Find the value of a^2 + b when a= -2 and b=5

Answers

Answer:

2x +  y = 11

a² + b = 9

Step-by-step explanation:

I solved these by using order of operations and subsitution.


Which two ratios represent quantities that are proportional?

A 22/33 and 14/21
B 48/60 and 35/42
C 25/28 and 5/7
D 16/13 and 13/16

Please help

Answers

A: 22/3 and 14/21 = 1/3

The two ratios represent proportional quantities is A: 22/3 and 14/21 = 1/3

When do two ratios form a proportion?

Two ratios form a proportion if the simplified form of both ratios comes out as the same ratio. Suppose that we've got two quantities with measurements as 'a' and 'b' Then, their ratio(ratio of a to b) a:b

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.

A.) 22/33 and 14/21

Here. the two ratios represent quantities that are proportional to 1/3.

B.) 48/60 and 35/42

Here. the two ratios represent quantities that are not proportional.

C.) 25/28 and 5/7

Here. the two ratios represent quantities that are not proportional.

D.) 16/13 and 13/16

Here. the two ratios represent quantities that are not proportional.

Hence, The two ratios represent proportional quantities is A: 22/3 and 14/21 = 1/3

Learn more about ratios here:

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solve for x
3(2-x)=5(2x-7)+2​

Answers

Answer: X = 3

Step-by-step explanation:

3(2-x)=5(2x-7)+ 2

First, distribute

6-3x = 10x -35 + 2

Now subtract and add

6+35-2= 10x-(-3x)

Which gives

39= 13x

X=3

Hope this helps!

Estimate the annual wages for Hourly rate $7.15

Answers

Lets assume someone works 10 hours a day for 5 days a week.

Weekly total:

10 * 7.15 = $71.50 per day

71.5 * 5 = $357.50 per week

There are 52 weeks in a year so we can multiply.

357.50 * 52 = $18,590 per year

This is how you can solve this problem if you are given these details.

Best of Luck!

What percent is represented by the diagram below?
A 13%
B
65%
C 130%
D
650%

Answers

D: 650% hope this helps <3

Answer:

Step-by-step explits its C.130%anation:

The volume of a box is 400 in.³ if the height is 10 inches and the length is 8 inches what is the width of the box

Answers

Answer:

5

Step-by-step explanation:

Step 1:

10 × 8 × x = 400

Step 2:

80 × x = 400

Step 3:

x = 400 ÷ 80

Answer:

x = 5

Hope This Helps :)


Use the number line below, where RS = 5y +3, ST = 3y + 4, and RT = 10y - 3.
a. What is the value of y?
b. Find RS, ST, and RT.

Answers

Answer:

(a). y = 5

(b). RS = 28

     ST = 19

     RT = 47

Step-by-step explanation:

(a). There are three points R, S and T on a number line.

Therefore, RT = RS + ST -------(1)

Since, RT = 10y - 3

RS = 5y + 3

ST = 3y + 4

By substituting these values in the equation (1)

10y - 3 = (5y + 3) + (3y + 4)

10y - 3 = 8y + 7

10y - 8y = 7 + 3

2y = 10

y = 5

(b). RS =  5y + 3

           = 25 + 3

           = 28

      ST = 3y + 4

           = 15 + 4

           = 19

      RT = 10y - 3

            = 50 -3

            = 47  

Solve for x.

[tex]4x+6=10-4[/tex]

Answers

Steps to solve:

4x + 6 = 10 - 4

~Simplify

4x + 6 = 6

~Subtract 6 to both sides

4x = 0

~Divide 4 to both sides

x = 0

Best of Luck!

Answer:

[tex]\large\boxed{x = 0}[/tex]

Step-by-step explanation:

4x + 6 = 10 - 4

Subtract 10 - 4

4x + 6 = 6

Subtract 6 from both sides of the equation

4x = 0

Divide both sides of the equation by 4

[tex]\large\boxed{x = 0}[/tex]

Hope this helps :)


A rectangle has a length represented by the function )
and a width represented by g )
Which statement accurately describes the combined
functions, P(x) and A(x)?

Answers

Answer: P(x) has a constant rate of change, but A(x) does not

Step-by-step explanation:

The Five Fives Challenge

In this mathematical challenge, you must use only five fives and mathematical operations/ symbols to achieve the number 0-30. Mathematical operations/symbols include addition, subtraction, multiplication, division, grouping symbols, decimal points, exponents, square roots, and factorials.
There are many solutions for each number. Be creative and try and find different solutions.

Answers

Well I think since tim Allen is cool your correct

João emprestou R$ 1000,00 a seu amigo José. Para que José conseguisse o empréstimo com o amigo, foram definidas as seguintes condições de pagamento: prazo de 6 meses e taxa de juros simples de 10% ao trimestre. Sendo assim, passados os seis meses do empréstimo, quanto o amigo José terá de pagar ao amigo João? a) R$ 100,00 b) R$ 1.100,00 c) R$ 200,00 d) R$ 1.200,00 e) R$ 1.400,00

Answers

Answer:

La opción correcta es;

d) R $ 1.200,00

Step-by-step explanation:

El monto que Joao prestó a José = R $ 1.000,00

La duración del préstamo = 6 meses

El plazo de interés del préstamo = interés simple del 10% por trimestre

La cantidad que José tiene que pagarle a Joao después de 6 meses viene dada por la siguiente fórmula de interés simple;

A = P · (1 + r · t)

A = La cantidad que José tiene que pagarle a Joao después de 6 meses

P = La cantidad que Joao prestó a José = R $ 1.000,00

r = La tasa de interés = 10% / trimestre = 10% / (3 meses) = 0.1 / (3 meses)

t = La duración del préstamo = 6 meses

Por lo tanto, al sustituir los valores anteriores en la fórmula de interés simple, tenemos;

A = R $ 1.000,00 × (1 + 0,1 / (3 meses) × 6 meses) = R $ 1.000,00 + R $ 200,00 = $$ 1.200,00

El monto que José debe pagar a Joao después de 6 meses = R $ 1.200,00

what is the solution to the inequality 3/2m -4 > 4/5 + 7/10m​

Answers

Answer:

m > 6

Step-by-step explanation:

[tex]3/2m -4 > 4/5 + 7/10m​\\\\\frac{3}{2}m-4>\frac{4}{5}+\frac{7}{10}m\\\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\\frac{3}{2}m-4+4>\frac{4}{5}+\frac{7}{10}m+4\\\\Simplify\\\\\frac{3}{2}m>\frac{24}{5}+\frac{7}{10}m\\\\\mathrm{Subtract\:}\frac{7}{10}m\mathrm{\:from\:both\:sides}\\\\\frac{3}{2}m-\frac{7}{10}m>\frac{24}{5}+\frac{7}{10}m-\frac{7}{10}m\\\\Simplify\\\\\frac{4}{5}m>\frac{24}{5}\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\5\times\frac{4}{5}m>\frac{24\times\:5}{5}\\\\Simplify\\\\4m>24[/tex]

[tex]4m>24\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4m}{4}>\frac{24}{4}\\\\Simplify\\\\m> 6[/tex]

Identify the hypothesis of the statement. If a number is negative, then the number is less than zero. A) a number is negative B) a number is positive C) the number is less than zero D) the number is greater than zero

Answers

Answer: A) a number is negative

Step-by-step explanation:

A conditional statement is written as:

If P, then Q.

Where P is the hypothesis and Q the conclusion.

In this case, we have:

If a number is negative, then the number is less than zero.

then we have:

P = a number is negative.

Q = the number is less than zero.

Then the hypothesis will be "a number is negative"

The correct option is A.

Answer:

number is negative

Step-by-step explanation:

which statement best describes the realationship between the numbers divisable by 6, 2 and 3

Answers

Answer:Which statement BEST explains the relationship between the numbers divisible by 6,2 and 3? A, A number that is divisible by 6 is also divisible by 2 and 3 because 2 and 3 are factors of 6

Thank yousunshinemadison101

What is 13.7 billion years in scientific notation​

Answers

Answer:

1.37 * 10^10 years.

Step-by-step explanation:

Billion = 9 zeroes

13.7 billion = 13.7 * 10^9 = 1.37 * 10^10.

The formula A = 1/2 S^2 expresses the area of an isosceles right
triangle in terms of the length, s, of a leg of the triangle.
Which equation expresses the length of a leg of an isosceles right
triangle in terms of the area?

Answers

Answer:

[tex]s = \sqrt{2a} [/tex]

Step-by-step explanation:

A = 0.5S^2

2A = S^2

Therefore,

[tex]s = \sqrt{2a} [/tex]

To express the length in terms of the area, is an illustration of change of subject of formula.

The equation that express S in terms of the area is: [tex]S =\sqrt{2A}[/tex]

Given that:

[tex]A = \frac 12S^2[/tex]

First, multiply both sides by 2

[tex]2 \times A = \frac 12S^2 \times 2[/tex]

[tex]2 \times A = S^2[/tex]

[tex]2A = S^2[/tex]

Take positive square roots of both sides

[tex]\sqrt{2A} = \sqrt{S^2[/tex]

[tex]\sqrt{2A} = S[/tex]

Rewrite the equation as:

[tex]S =\sqrt{2A}[/tex]

Hence, the equation that express S in terms of the area is: [tex]S =\sqrt{2A}[/tex]

Read more about subject of formula at:

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A vine called the mile-a-minute were is known for growing at a very fast rate it can grow up 2ft per day how fast in inches per hour can the mile-a-minute weed grow up to?

Answers

Answer:

1 inch/hr

Step-by-step explanation:

Rate of growing of weed mile-a-minute = 2 ft per day

To find:

Rate of growth of weed in inches per hour ?

Solution:

First of all, let us have a look at the following units conversion:

1 ft contains 12 inches

and 1 day is equal to 24 hours.

Rate of growth of weed is Length divided by number of days.

2 ft per day means Length of 2ft divided by 1 day.

i.e.

[tex]\dfrac{2\ ft}{1\ day}[/tex]

Let us put the units for conversion as discussed above:

[tex]\dfrac{2\times 12\ inches}{24\ hours}\\\Rightarrow \dfrac{24\ inch}{24\ hours}\\\Rightarrow \bold{1\ inches/hr}[/tex]

So, the answer is: 1 inch/hour

On a baseball field the pitcher's mound is 60.5 ft away from home plate. Second base is 127.28 ft from home plate. Is the pitcher's mound the midpoint of home plate and second base? Explain your reasoning

Answers

Answer and Step-by-step explanation: Midpoint is the middle point in a segment line, i.e., it is at the center of a segment line.

On a baseball field, distance between home plate and second base is 127.28ft. The midpoint will be:

midpoint = [tex]\frac{127.28}{2}[/tex]

midpoint = 63.64ft

To be the midpoint, pitcher's mount must be 63.64ft away from the home plate. Since it's less than that, pitcher's mount is not the midpoint between home plate and second base.

Carla needs to rent storage space for some of her belongings. She paid a one-time original storage fee of $25.00, and now pays $36.00 each month (m). Which answer choice shows an expression that represents the total amount Carla has paid after a certain number of months (m)?

Answers

Answer:

TC = 36t + 25

Step-by-step explanation:

The amount paid by Carla as a storage fee or fixed cost = $25

Monthly rent or variable cost = $36

Let the number of months = t

Now we have to find the expression that represents the total cost. Below is the formula to find the expression.

Total cost = Variable cost + Fixed cost

Total cost = 36t + 25

TC = 36t + 25

please help me with this i don’t understand at all!

Answers

Answer:

2x+8=3x-2

8=x-2  

x=10'

the answer is 10

Step-by-step explanation:

sorry i didnt put an answer at the start

i was in a rush

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