What kind of angle is shown in the image below​

Answer:

a = 5√7 units

Step-by-step explanation:

Let's find the value of a, using the Pythagorean Theorem, this way:

c = Hypotenuse = 16

a² = c² - b²

a² = 16² - 9²

a² = 256 - 81

a² = 175

√a² = √175

a = √25 * 7

a = 5 √7 units

Answer:

(1 / 13 , 0.5769)

Step-by-step explanation:

I hope that I solved it correctly

the numbers are a bit ugly though

Answer:

A≈177.99

Step-by-step explanation:

Answer:

40.625 miles covered in 2.5 hours

Step-by-step explanation:

Given that [tex]16 \frac{1}{4} [/tex]

miles was ran in one hour, then to find miles run in 2.5 hours, we just have to multiply:

[tex]16 \frac{1}{4} [/tex]

by [tex]2 \frac{1}{2} [/tex]

This means that miles run in 2½ hours

[tex] = 16 \frac{1}{4} \times 2 \frac{1}{2} [/tex]

[tex] = \frac{65}{4} \times \frac{5}{2} [/tex]

[tex] = \frac{325}{8} [/tex]

[tex] = 40 \frac{5}{8} = 40.625[/tex]

Therefore 40.625 miles will be run in 2.5 hours.

Answer:

Step-by-step explanation:

m ∠XOY = m ∠WOV

so, m XY = m WV --- (i)

     { If angle subtended by two arcs at the center are equal, then length of arc are equal}

m YZ = m ZW  ------- (ii)    {given}

Add (i) and (ii)

XY + YZ = WV + ZW

XZ = ZV    

Hence proved.

Answer:

Given that m ∠XOY = m ∠WOV then m XY = m WV, because central angles are equal to arcs.

Given: m YZ = m ZW

The addition of arcs XY and YZ make arc XZ, that is: m XY + m YZ = m XZ

The addition of arcs ZW and WV make arc XZ, that is: m WV + m ZW = m ZV

Then, m XZ = m ZV

Answer:

D.W

Step-by-step explanation:

If There is a math equation you can use math-way.

Also it would help if you can take a better picture.

Once you take a better picture I promise i will try my best to answer the question.

Answer:

2 books cause if the total is around 49 dollars 21 is rounded to be half

Step-by-step explanation:

Answer:

Yes! You are correct!! Just add the unit ($).

Step-by-step explanation:

Although this question was asked a while ago, it's better to leave it answered rather than leaving it unanswered.

In this question, we are told that Carl earned $25 from mowing lawns on Friday. Carl also earned some amount of money from raking leaves for 3 hours. In the end, he spends 12 dollars on the movies. We need to find out how much money he has left.

Since he earns 6 dollars an hour for raking leaves, we can multiply $6 by 3 hours to get $18 for raking leaves for 3 hours.

We can add this to his earnings on Friday, which will get us $43 as his total balance.

He then spends 12 dollars, so we subtract 12 from 43. This means Carl will only have $31 left.

Hence, your answer is correct! Just don't forget the unit. Have a great day!!! :)

Answer:

The solution of given equation for x is  (0.16 + i 1.14) , (0.16 - i 1.14)  

Step-by-step explanation:

Given as :

The quadratic equation is as 3 x² - x + 4 = 0

Since The given equation is quadratic

∵, Standard quadratic equation is ax² + bx + c = 0

Now, x = [tex]\frac{-b\pm \sqrt{b^{2} - 4\times a\times c}}{2\times a}[/tex]

Comparing the equation

i.e x = [tex]\frac{-(-1)\pm \sqrt{(-1)^{2} - 4\times 3\times 4}}{2\times 3}[/tex]

or, x = [tex]\dfrac{1\pm \sqrt{(1-48)}}{6}[/tex]

Or, x = [tex]\dfrac{1\pm \sqrt{(-47)}}{6}[/tex]

Or, x = [tex]\dfrac{1\pm i6.85}{6}[/tex]

Or, x = (0.16 + i 1.14)   , (0.16 - i 1.14)

So, The solution of given equation for x = (0.16 + i 1.14)   , (0.16 - i 1.14)

Hence, The solution of given equation for x is  (0.16 + i 1.14) , (0.16 - i 1.14)  . Answer

The population 12 hours after the start of rush hour, which lasts 3 hours and the population doubles every 3 hours, would be 64,000,000 people. The population 12 hours after the start of the evening rush hour, which lasts 3 hours and the population is cut in half every 3 hours, would be 500,000 people.

To calculate the population 12 hours after the start of rush hour, which lasts 3 hours, we need to find the number of doubling periods that occur within that time frame. Since the population doubles every 3 hours, there are 12/3 = 4 doubling periods.

Each doubling period results in the population doubling, so if the population starts at 4,000,000 people, after 4 doubling periods it would be 4,000,000 × 2⁴ = 64,000,000 people.

To calculate the population 12 hours after the start of the evening rush hour, which lasts 3 hours and the population is cut in half every 3 hours, we need to find the number of halving periods that occur within that time frame. Since the population is cut in half every 3 hours, there are 12/3 = 4 halving periods.

Each halving period results in the population being cut in half, so if the population starts at 8,000,000 people, after 4 halving periods it would be 8,000,000 × (1/2)⁴ = 500,000 people.

Answer:

3x-4y=-16

Step-by-step explanation:

Answer:

240 words

Step-by-step explanation:

96÷2=48

48×5=240

Jordan can type 240 words in 5 minutes, based on her typing speed of 48 words per minute.

Jordan can type 96 words in 2 minutes. To find out how many words she can type in 5 minutes, we need to calculate her typing speed per minute and then multiply it by 5 minutes. First, we find the typing speed per minute:

Speed = Total words / Total time = [tex]\frac{96}{2}[/tex] = 48 words per minute.

Now, we multiply this speed by 5 minutes to find out how many words Jordan can type in that time:

5 minutes x 48 words/minute = 240 words.

So, Jordan can type 240 words in 5 minutes.

Answer:

c=32.13

Step-by-step explanation:

The value of C of the equation 15.3= C/2.1 is 32.13.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given equation:

15.3= C/2.1

To find the value of C:

Using cross multiplication,

C = 15.3 x 2.1

Solving,

C = 32.13

Therefore, the value of C = 32.13

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Answer:

[tex]g(x) = 5^{x} -10[/tex]

Step-by-step explanation:

See the attached figure which represents the problem.

At first we should know the rules of translation

1) {f(x) + a} is f(x) shifted up (a) units

2) {f(x) – a} is f(x) shifted down (a) units

3) {f(x + a)} is f(x) shifted left (a) units.

4) {f(x – a)} is f(x) shifted right (a) units.

The given function : [tex]f(x) = 5^{x}[/tex]

As shown on the attached graph the function g(x) is below f(x)

Which mean f(x) is shifted down.

by comparing two points with the same x-coordinate like (1,5) and (1,-5)

So, the difference will be = 5 - (-5) = 10

by applying the second rule and substitute with a = 10

g(x) = f(x) - 10

[tex]g(x) = 5^{x} -10[/tex]

Answer:

D option

Step-by-step explanation:

Answer:

4x5=20               20 feet is the area

Step-by-step explanation:

Answer:

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The surface area of the cylindrical gift box given radius (3x+4) and height 3 times the radius, when calculated and simplified, results in the polynomial[tex]6\pi x^2 + 24\pi x + 32\pi[/tex]  in standard form.

The surface area of a cylinder is calculated by the formula 2πr(h + r), where r is the radius and h is the height of the cylinder. Given the radius r = 3x+4 and the height h = 3*r which is 3*(3x+4), you can substitute these values into the formula. So, the surface area, A = 2π(3x+4)[3*(3x+4) + (3x+4)].

Simplifying, we get A = 6πx(3x+4)+8π*(3x + 4). This can be further simplified into [tex]A = 6\pi x^2 + 24\pi x + 32\pi[/tex], which is the surface area of the cylinder in terms of the variable x in standard form.

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Answer:

try this $25.98

Answer:

50?

Step-by-step explanation:

8+12+27=50

1+3+4=8

The missing numbers in the sequence are 10 and 17. The complete sequence is 8, 10, 15, 20, 26, 33, 17, following an alternating difference pattern.

To find the missing numbers in the sequence, let's observe the pattern between the given numbers:

8, __, 15, 20, 26, 33, __

Looking at the differences between consecutive terms, we notice the following pattern:

15 - 8 = 7

20 - 15 = 5

26 - 20 = 6

33 - 26 = 7

We see that the differences alternate between 7 and 5. So, following this pattern, the missing numbers should continue this alternating difference.

The missing numbers are:

8 + 7 = 15

15 - 5 = 10

10 + 7 = 17

So, the missing numbers are 10 and 17.

Therefore, the sequence is: 8, 10, 15, 20, 26, 33, 17.

Complete Question:

What are the missing numbers in the sequence 8 __ , 15 ,20 ,26 ,33 ,__?

Answer:

1661.4

Step-by-step explanation:

13000 x 0.1278=1661.4

If $1 US Dollars is equivalent to .1278 Chinese yuan, converting $13,000 to yuan gives us: 1,661.4 yuan

A currency's exchange rate is defined as the value of one currency in relation to another currency,

We are told that the exchange rate is expressed as:

$1 US Dollars is equivalent to 0.1278 chinese yuan

We can rewrite this as:

0.1278 chinese yuan =  $1 US Dollars

Thus:

$13000 = (13000 * 0.1278)/1

= 1,661.4 yuan

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Answer:

13

Step-by-step explanation:

It's a famous "triple" for triangle lengths.

It's helpful to memorize: 5, 12, 13.

It works because of the reliable pythagorean theorem:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]5^{2} + 12^{2} = 13^{2}[/tex]

Answer:

The missing side length is 13

Step-by-step explanation:

Use Pythagorean Theorem

5 squared + 12 squared = x squared

25 + 144 = x squared

169 = x squared

13 = x

Answer:

3/-3 basically -1

Step-by-step explanation:

do the y2-y1 / x2-1 formula and put the coordinates in and that is:

3-0 / -13- -10

or

3/-3

or -1

BTW: if the numerator and denominator are both negative,

Answer:

Step-by-step explanation:

(-10,0) and (-13,3)

Slope m = (y2 - y1)/(x2 - x1)

y2 = 3, y1 = 0, x2 = -13, x1 = -10

: m = (3 - 0)/(-13 + 10)

m = 3/-3

m = -1

Slope m = -1

Answer:

The selected options:  1 , 2 and 5

Step-by-step explanation:

Dilation 2/5  was done on a rectangle, and the center of dilation is V

We will check which of the options is true:

Option 1: The image is a reduction because 0 < n < 1  (True)

Because 2/5 = 0.4 < 1, so, the image will be smaller than the pre-image.

Option 2: The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image.   (True)

Because pre-image and image are similar so their sides will be proportional, so the pre-image is 2/5 of the image.

Option 3: The angles of the image are two-fifths the size of the angles of the pre-image.  (Wrong)

Because the angles of similar rectangles are congruent not proportional.

Option 4: The center of dilation is at point Q.   (Wrong)

Because the center of dilation is V.

Option 5: The base of the image is two-fifths the size of the base of the pre-image.    (True) same explanation of option 2

Answer:

ITS A,B, AND E

Step-by-step explanation:

SUN GOT IT RIGHT ON EDGE

For the statements option, A and E is correct about the x-intercepts of quadratic functions.

A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. It is also known as the polynomial of degree 2 since the second-degree term is the greatest degree term in a quadratic function. At least one term in a quadratic function must be of the second degree. It has algebraic properties.

Given statements about  the x-intercepts of quadratic functions,

the expression of a quadratic function is given by,

ax² + bx + c = 0

the values of x are the zeroes of the quadratic functions, which is also known as the x-intercept.

since the degree of the polynomial is 2 so there will be at least two values for the x-intercept.

the x-intercept is the point on the x coordinate where the value of y is zero.

and let x = a be an x-intercept so the factor of function is (x - a).

Hence options A and E are correct.

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Step-by-step explanation:

7p²-30p+8

=(p-4)(7p-2)

We know there is a total of 100 cups of tea sold and that there are two types of teas involved.

x = tea 1

y = tea 2

We can set up two equations and use substitution to solve:

x + y = 100 cups of tea sold total

One of the teas sold 5 times as much as the other. Let's believe that this was tea 1:

x = 5y (5 times as much means multiplication, and 'other' means y)

If x = 5y, then this must be true for the first equation. So we'll test this by plugging it in:

5y + y = 100

6y = 100

y = about 16.67

Now we can use this number to solve for x in the original equation:

x + 16.67 = 100

x = 83.33

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

Given the equation

[tex]\dfrac{3x+2}{5}=\dfrac{2x-1}{3}[/tex]

You can interpret this equation as proportion.

Cross multiply:

[tex]3(3x+2)=5(2x-1)\\ \\9x+6=10x-5\ [\text{Use distributive property}]\\ \\9x-10x=-5-6\\ \\-x=-11\\ \\x=11[/tex]

Final answer:

The rational equation (3x + 2)/5 = (2x - 1)/3 simplifies to 9x + 6 = 10x - 5, which further simplifies to x = 11 after rearranging and combining like terms.

Explanation:

To solve the rational equation (3x + 2)/5 = (2x - 1)/3, we first find a common denominator to eliminate the fractions. Multiplying each side of the equation by the common denominator of 15, we get 9x + 6 = 10x - 5. Subtracting 9x from both sides and adding 5 gives us x = 11. Therefore, the correct solution to the given equation is x = 11.