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

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  

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 :)

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

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:

https://brainly.com/question/21866313

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

Answer:

milk to oil - correctly shows ratio 3:1

Answer:

B 2/7 <3/1

Step-by-step explanation:

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:

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

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

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

Answer:

2x +  y = 11

a² + b = 9

Step-by-step explanation:

I solved these by using order of operations and subsitution.

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

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 :)

Answer:

Step-by-step explanation:

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]

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.

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]

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

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

Step-by-step explanation:

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.

Answer:

1.37 * 10^10 years.

Step-by-step explanation:

Billion = 9 zeroes

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

Answer:

A: 25/4 B: 17/3

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

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

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:

brainly.com/question/186659

#SPJ5

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.

Answer:

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

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!

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!