Graph the linear equation 7x - 3y = -21.

Answer:

1S=4H

Step-by-step explanation

Answer:

C. tan(30°)

Step-by-step explanation:

edge yuh yuhhhhh

The equivalent fraction is [tex]\frac{sin 40\textdegree. {cos10\textdegree} - {sin 10\textdegree}{cos40\textdegree}}{{cos 40\textdegree. {cos10\textdegree} + {sin 10\textdegree}{sin40\textdegree}}}[/tex].

The given expression is tan 40°-tan 10°/1+tan 40°.tan 10°.

When simplifying trigonometric expressions, one approach is to change everything into sine or cosine.

Now, [tex]\frac{\frac{sin40\textdegree}{cos40\textdegree} -\frac{sin10\textdegree}{cos10\textdegree}}{1+\frac{sin40\textdegree}{cos40\textdegree} .\frac{sin10\textdegree}{cos10\textdegree} }[/tex]

=[tex]\frac{sin 40\textdegree. {cos10\textdegree} - {sin 10\textdegree}{cos40\textdegree}}{{cos 40\textdegree. {cos10\textdegree} + {sin 10\textdegree}{sin40\textdegree}}}[/tex]

Therefore, the equivalent fraction is [tex]\frac{sin 40\textdegree. {cos10\textdegree} - {sin 10\textdegree}{cos40\textdegree}}{{cos 40\textdegree. {cos10\textdegree} + {sin 10\textdegree}{sin40\textdegree}}}[/tex].

To learn more about trigonometric expression visit:

https://brainly.com/question/14746686.

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Answer:

could you explain more?

Step-by-step explanation:

Answer: 63 children and 88 adults swam at the public pool that​ day.

Step-by-step explanation:

Let x = Number of children

y= Number of adults

As per given , we have

x+y=151            (i)

1.50x+2y=270.50          (ii)

Multiply 2 on both sides of (i)

2x+2y = 302          (iii)

Eliminate (ii) from (iii)

0.5x=31.5

⇒ x = 63   [Divide both sides by 0.5]

Put value of x in (i) , we get

63+y= 151

⇒ y= 151-63 =88

Hence, 63 children and 88 adults swam at the public pool that​ day.

Answer:

5

230

3

0

3

Step-by-step explanation:

1)5.2 estimated is 5

2)229.9 estimated is 230

3)37.1 estimated is 3

4)0.0 estimated is 0

5)2.9 estimated is 3

Answer:

The sum of the first 8 terms will be:

Step-by-step explanation:

Given the sequence

[tex]36, 30, 25, ...[/tex]

A geometric sequence has a constant ratio and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

computing the common ratio

[tex]\frac{30}{36}=\frac{5}{6},\:\quad \frac{25}{30}=\frac{5}{6}[/tex]

[tex]r=\frac{5}{6}[/tex]

As the first element is

[tex]a_1=36[/tex]

so the nth term will be:

[tex]a_n=a_0\cdot r^{n-1}[/tex]

[tex]a_n=36\left(\frac{5}{6}\right)^{n-1}[/tex]

Geometric sequence sum formula

[tex]a_1\frac{1-r^n}{1-r}[/tex]

Plugin the values to determine the sum of the first 8 terms

[tex]n=8,\:\spacea_1=36,\:\spacer=\frac{5}{6}[/tex]

[tex]=36\cdot \frac{1-\left(\frac{5}{6}\right)^8}{1-\frac{5}{6}}[/tex]

[tex]=\frac{\left(1-\left(\frac{5}{6}\right)^8\right)\cdot \:36}{1-\frac{5}{6}}[/tex]    

[tex]=\frac{36\left(-\left(\frac{5}{6}\right)^8+1\right)}{\frac{1}{6}}[/tex]

[tex]=\frac{36\left(-\frac{390625}{1679616}+1\right)}{\frac{1}{6}}[/tex]

[tex]=\frac{\left(1-\frac{390625}{1679616}\right)\cdot \:36\cdot \:6}{1}[/tex]

[tex]=\frac{216\left(-\frac{390625}{1679616}+1\right)}{1}[/tex]

[tex]=\frac{216\cdot \frac{1288991}{1679616}}{1}[/tex]

[tex]=216\cdot \frac{1288991}{1679616}[/tex]

[tex]=\frac{1288991\cdot \:216}{1679616}[/tex]

[tex]=\frac{278422056}{1679616}[/tex]

[tex]=\frac{1288991}{7776}[/tex]

 Therefore, the sum of the first 8 terms will be:

Answer:

A) $77.50

B) 8 tickets

Step-by-step explanation:

A) c(x) = 17.5x - 10

Substitute 5 for x

c(x) = 17.5(5) - 10

Multiply

c(x) = 87.5 - 10

Subtract

c(x) = 77.5

B) 130 is the cost, so substitute 130 for c(x)

130 = 17.5x - 10

Add 10 to each side to move the constants to one side

140 = 17.5x

Divide each side by 17.5 to isolate the variable

8 = x

Answer:

2.5

Step-by-step explanation:

she has buys 3 shirts for 8.50 which = 25.5

then she buys 2 pair of pants for $22 because 2 x 11=22

so then 22 + 25.5 = 47.50

50.00- 47.50= 2.50

Answer:

17 miles

Step-by-step explanation:

Answer:

Since I don't know the statements, I'm gonna guess that if there is 7/8 snow in 1/2 hour then in 2 hours there is 3.5 inches of snow or 28/8 inches of snow in 2 hours.

Step-by-step explanation:

Answer:

Step-by-step explanation:

6-3x=12-6x

Only one solution of  x=2

Answer:

The price was $391.30.

Step-by-step explanation:

We can answer this using algebra:-

Let the original price be $x, then:

x + 15% of x = 450

x + 0.15x = 450

1.15x = 450

x = 450/1.15

x = 391.304

Answer:5

Step-by-step explanation:

Answer:

√36 = 6

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

72 = c^2

√72 = c

2 36

2 18

2 9

3 3

6√2 = c

6√2 = (estimate rounded up, 8.49)

Answer:

y = -1/2x + 1

~theLocoCoco

Answer:

AB = 15

m∠A = 53.1°

m∠B = 36.9°

Step-by-step explanation:

From the picture attached,

By Applying Pythagoras theorem,

AB² = AC² + BC²

AB² = 9² + (12)²

AB² = 81 + 144

AB = √225

AB = 15

tan(B) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

          = [tex]\frac{12}{9}[/tex]

          = 1.3333

B = [tex]\text{tan}^{-1}(1.3333)[/tex]

   = 53.13

   ≈ 53.1°

Since, m∠A + m∠B + m∠C = 180°

m∠A + 53.1° + 90° = 180°

m∠A = 180°- 143.1°

        = 36.9°

Answer:

AB = 15

m∠A = 53.1°

m∠B = 36.9°

It is a trinomial because it follows the pattern of x^2 + bx + c. In this case, x^2 - 10x + 25. Also, it only has three numbers and two operation symbols, signifying a trinomial (three = tri).

i have less sympathy for ur crying when you copy and paste this question and ask it again three times. why dont you just ask it once? everyone answers anyway

Answer:

x = 35

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

40° + (2x + 30)° + 40° = 180°

Step 2: Solve for x

Answer:

3m

Step-by-step explanation:

Answer:

Convert the following:

(a) 300 cm into metre

3 metres

Answer:

Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit.

Step-by-step explanation:

Answer:

46

x=46 degrees

Answer:

25

Step-by-step explanation:

Since it is a rhombus all the parallel lines are always divided by half at the intersection. Basically divide 50 by 2 because QN=50 and QS is half of that

This question is incomplete.

Complete Question

The area A (in square feet) of the rectangular shed is given by 6x³+7x²+11x+21.And one side of the rectangular is 2x+3. Use polynomial long division to find an expression for the length (in feet) of the shed.

Answer:

3x² - x +7

Step-by-step explanation:

Using the long division method:

We have :

Divisor : 6x³+7x²+11x+21

Dividend : 2x+3

Quotient : the length (in feet) of the shed = ???

Hence, we solve below

6x³+7x²+11x+21 ÷ 2x + 3

3x² -x + 7

______________________

2x+3 l 6x³+7x²+11x+21

6x³+9x²

__________

-2x²+11x

-2x²-3x

__________

14x+21

14x+21

_______

0

Therefore, an expression for the length (in feet) of the shed is 3x² - x +7

Answer:

about 2.8%

Step-by-step explanation:

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The line goes up 2 units and right 3 units.

Answer:

the slope is 6/7

Step-by-step explanation:

Answer:

6dollars

Step-by-step explanation:

Answer:

the answer is B 6 dollars

Step-by-step explanation: