How do u find the unknown angle measure in a triangle

Answer:

[tex]g(x)=-\sqrt{x+3}+8[/tex]

Step-by-step explanation:

got it right

g(x) = - √x + 3 +8 has the same range.

The variety of a feature is described as a set of solutions to the equation for a given input. In different words, the range is the output or y fee of a characteristic. There is the most effective range for a given function.

The set which contains all the first elements of all the ordered pairs of relation R is known as the domain of the relation.

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Answer:

$6769

Step-by-step explanation:

To calculate the amount, we make use of the compound interest formula

A = P(1+r/n)^nt

where A is the amount which we are to calculate

P is the amount deposited which is $5,600

r is the rate which is 1.9% or 1.9/100 = 0.019

t is the number of years = 10

n is the number of times the interest is compounded per year which is 4(quarterly means every 3 months and there are 4 quarters in a year)

Plugging all these values, we have

A = 5,600(1+ 0.019/4)^40

A = 5,600( 1 + 0.00475)^40

A = 5,600(1.00475)^40

A = $6768.75

Which is $6769 to the nearest dollars

Answer:

the percentage decrease in the number of accidents between 1950 and 1976 is (25.9)

Answer:

(x-9)(x+1)

Step-by-step explanation:

factor using the box method or quadratic formula.

Answer:

(x - 9)(x + 1)

Step-by-step explanation:

Given

x² - 8x - 9

Consider the factors of the constant term (- 9) which sum to give the coefficient of the x- term (- 8)

The factors are - 9 and + 1, since

- 9 × 1 = - 9 and - 9 + 1 = - 8, thus

x² - 8x - 9 = (x - 9)(x + 1)

Answer:

Step-by-step explanation:

[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]

[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]

[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]

[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]

[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]

[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]

[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]

x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]

x =  [tex]\sqrt[3]{8^{5}}[/tex] -2

Answer:

Step-by-step explanation:

Answer of this question is 2

Answer:

Step-by-step explanation:

Answer:

I and III

Step-by-step explanation:

On a unit circle, the only two angles whose sine is [tex]-\dfrac{\sqrt{3}}{2}[/tex] are [tex]\dfrac{4\pi}{3}[/tex] and [tex]\dfrac{5\pi}{3}[/tex], otherwise known as [tex]-\dfrac{\pi}{3}[/tex]. Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show [tex]-\dfrac{\sqrt{3}}{2}[/tex].

Answer:

3y = 4 or 3y - 4 =0

Step-by-step explanation:

[tex] \frac{4}{3} = y \\ 4 = 3y \\ 3y - 4 = 0 \\ [/tex]

Answer:

450 m²

Step-by-step explanation:

Let x = length of rectangle and y = width of the rectangle.

Therefore,

2x + y = 60...............(1)

Making y subject of the formula, we have:

y = 60 - 2x............... (2)

We know area of a rectangle is length * width i.e A = x*y

Let's substitute (60-2x) for y,

A = x * (60-2x)

= 60x - 2(x)²

= -2x² + 60x

[tex] \frac{dA}{dx} = -2x^2 + 60x = [/tex]

-4x + 60 = 0

-4x = -60

[tex] x = \frac{-60}{-4} = 15 [/tex]

Let's substitute 15 for x in equation 2, we have:

y = 60 - 2(15)

= 60 - 30

y = 30

Since x = 15 & y = 30, the area would be:

A = xy

A = 15 * 30

A = 450 m²

The maximum area of the dog pen is 450m²

Answer:

37 - 5 = 32

32/4 = 8

8 students are in each of the 4 rows

Answer: there are 8 students in each of the 4 equal rows

Step-by-step explanation:

x = # of students in each of the 4 rows

4x + 5 = 37

4x = 32

x = 8

There are 8 students in each of the 4 rows.

You can check this:

4 rows of 8 students —> 4(8) = 32 students

+ 5 students in the first row

= 37 students total

Answer:

$4.50 for 9 cans

Step-by-step explanation:

Answer:

y = x+6

Step-by-step explanation:

The y intercept is 6  ( where it crosses the y axis)

We need to find the slope

For each y unit it goes up, it goes to the right 1 x unit

m = 1/1 = 1

We can use the slope intercept form of the equation

y = mx+b  where m is the slope and b is the y intercept

y = 1x+6

y = x+6

Answer:

330 000 m²

Step-by-step explanation:

1. Area of farm

[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]

2. Area for wheat

[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]

3.Area for olive trees

[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]

4. Area for sunflowers

Total area                  =                          1 000 000 m²

- Area for wheat        = 280 000 m²

- Area for olive trees = 390 000                                  

                                                                 670 000      

Area for sunflowers =                              330 000 m²

Sunflowers occupy 330 000 m².

The value of the expression [tex]2[32-(4-1)][/tex] is [tex]58[/tex] by simplifying.

Simplification is the process of replacing a mathematical expression with an equivalent one, that is simpler and usually shorter.

Apply the BODMAS rule to simplify the algebraic expression.

Given that the expression is [tex]2[32-(4-1)][/tex]

First, simplify the bracket [tex](4-1)[/tex]

Then, [tex]2[32-(4-1)]=2[32-3][/tex]

Simplify the bracket [tex][32-3][/tex]

Then, [tex]2[32-3]=2[/tex] × [tex]29[/tex]

Multiply the numbers [tex]2[/tex] and [tex]29[/tex]

[tex]2[/tex] × [tex]29=58[/tex]

Hence, the expression [tex]2[32-(4-1)][/tex] is simplified to [tex]58[/tex].

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Answer:

43, it raises by 4 each time. good luck!

Step-by-step explanation:

The total finance charge over the course of his loan is $2071.20.

It is required to find the total finance charge.

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.

Given that:

Loan= $15,000

The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.

The sum of those 48 payments is ...

=48 × $23.71 =

 =$1138.08

That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.

so his total finance charge will be

= 15 × $138.08

= $2071.20

Therefore, the total finance charge over the course of his loan is $2071.20.

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Answer:

D.

$2,071.20

Step-by-step explanation:

Answer: it will take 5 hours to reach -1 °F.

Step-by-step explanation:

The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence(the starting point)

d represents the common difference.

n = x = the number of terms in the sequence(number of hours)

From the information given,

a = 0(at 1 pm, number of hours is 0)

d = - 4 degrees (it is decreasing)

Tn = -1 °F.

We want to determine the number of hours, x when Tn = -1 °F

Therefore,

- 1 = 0 + (x - 1)- 4

- 1 = - x + 4

x = 4 + 1

x = 5 hours

Answer:

x=2

Step-by-step explanation:

4x+6=x+12

-x         -x

3x+6=12

    -6  -6

3x=6

/3   /3

x=2

Answer:

x=2

Step-by-step explanation:

4x+6 = x+12

Subtract x from each side

4x-x +6 =x-x+12

3x +6 = 12

Subtract 6 from each side

3x+6-6=12-6

3x = 6

Divide each side by 3

3x/3 =6/3

x =2

Answer:

2.8-5.4

Step-by-step explanation:

4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right

Answer:

50.24inches

Step-by-step explanation:

Your diameter is 8 inches so divide that by two to get a radius of 4 multiply 4 by itself and multiply that (16) by pi.(it gives you 50.24)

Your answer is 3 times larger.

The volume of any cone is 1/3 the volume of the cylinder that could be formed around that cone, therefore the volume of any cylinder is 3 times larger than the volume of the cone that could fit inside.

We know this is true because the equation for the volume of a cone is (1/3) πr²h, and the equation for the volume of a cylinder is πr²h

I hope this helps!

Answer:The answer will be 35ft

Step-by-step explanation:

One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.

Answer:

324 in^2

Step-by-step explanation:

If you transfer the 9 ft to inches you get 108 in

108x3=324

Answer:

21

Step-by-step explanation: 9 + 9 = 18 , 3 + 3 = 6 , 18 + 6 = 21.

Answer:

[tex]28\sqrt{2}[/tex]

Step-by-step explanation:

To answer this question, you must split 98 into 2 factors:

                                                      98

                                                 2          49

                                                          7       7

2 and 49 can be multiplied to get 98. 49 is also a perfect square, meaning the factors are going to be the same number, which is 7. Since there are two 7's you take that out of the radical, like so:

[tex](7)4\sqrt{2}[/tex]

[tex]28\sqrt{2}[/tex]

Answer:

He needs to sell at least 49 mugs.

Step-by-step explanation:

Since Ronny earned $228 and needs to earn more than $372, he needs to earn more than 372-228 = 144.

Since he sells a mug for $3 and needs more than $144, his earning must be greater than 144:

→ 3x > 144, x represents the number of coffee mugs

→ x > 48

→ x must be at least 49

Answer: it is not a right triangle

12^2=7^2+10^2

144=49+100

144=149

To prove this we try the pitagor teorem which the largest side is the hypotenuse

It is not a right triangle.

We have given that,

The triangle has side lengths 7, 10, and 12.

[tex]hypotenous^2=side^2+side^2[/tex]

12^2=7^2+10^2

144=49+100

144=149

The pitagor theorem which the largest side is the hypotenuse.

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