Triangle ABC is similar to triangle DEF. What is EF?

Answer:

Area = 54.1 ft²

Perimeter = 25.5 ft

Step-by-step explanation:

Area:

The formula for the area of a circle is (A = πr²). The radius is r, and r is half of the diameter, or d. So, it would be:
A = (3)(4.25)²

A = (3)18.0625

A = 54.1

Perimeter:

The perimeter, of circumference, formula for a circle is (C = πd), where C is the circumference and d is the diameter.

C = (3)(8.5)

C = 25.5

Hope this helps! Sorry it is a bit late! Have a great day! :)

The Correct answer would be B

I hope this was helpful :P

STAY SAFE!! :)

Answer:

B: Science

Step-by-step explanation:

The reason B is correct is because 0.016 is lower than all the other possibility. A has no math to compare, but the others do, making it easier to determine the correct answer.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!    

Answer:c

Step-by-step explanation:

hi i think its 2 because 15 times 2 is 30

The graph of a linear function C(d) will shift 20 units left side if the total cost C (in dollars) to rent a 14-foot by 20-foot canopy for d days is function C(d) = 15d + 30.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The total cost C (in dollars) to rent a 14-foot by 20-foot canopy for d days is given by the function:

C(d) = 15d + 30

The charge per day is $15. The setup fee increases by $20.

The new total cost T is given by the function

T(d) = C(d) + 20

Plug C(d) = 15d + 30 in the above function:

T(d) = 15d + 30 + 20

T(d) = 15d + 50

The graph of a linear function C(d) will shift 20 units left side.

Thus, the graph of a linear function C(d) will shift 20 units left side if the total cost C (in dollars) to rent a 14-foot by 20-foot canopy for d days is function C(d) = 15d + 30.

Learn more about the function here:

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Answer:

175

Step-by-step explanation:

Since the mean is 158

(121+189+147+x)/4=158

121+189+147+x=632

x=175

Answer:

[tex]175[/tex] (thousand dollars)                                   - written in [tex]2/22/2021[/tex]

Step-by-step explanation

In order to know the answer in the question, we should need to solve for the [tex]x[/tex] (Granton). It is other way around in solving for the mean because in here the mean is given. After using this formula, [tex]\frac{121+189+147+x}{4}=158[/tex] we derived at our answer that Granton has a revenue of [tex]175[/tex] (thousand dollars).

Answer:

20

Step-by-step explanation:

120÷6=20

Answer:

112.5 percent

Step-by-step explanation:

Answer:

112.5%

Step-by-step explanation:

Look at answer

Final answer:

The center of the given circle is at (13, 1), and the radius of the circle is 2.

Explanation:

The equation of a circle is generally given in the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius. Looking at the given equation (x - 13)^2 + (y - 1)^2 = 4, we can see that it is already in this standard form.

To answer the questions:

The center of the circle is (13, 1), which comes from the terms within the parentheses being subtracted from x and y.

The radius of the circle is not simply 4, as one might surmise by a quick glance. Instead, the equation gives us the radius squared, r^2 = 4. Taking the square root of both sides, we find that the radius, r, is 2.

Answer:

A

Step-by-step explanation:

Given

f(x) = - 4(x + 7)² - 6 ← expand factor using FOIL

     = - 4(x² + 14x + 49) - 6 ← distribute parenthesis by - 4

    = - 4x² - 56x - 196 - 6 ← collect like terms

    = - 4x² - 56x - 202 → A

The equivalent function is [tex]f(x)=-4x^{2} -56x-202[/tex]

Option A is correct.

The given function is,

                        [tex]f(x)=-4(x+7)^{2}-6[/tex]

We have to expand above function.

                    [tex]f(x)=-4(x+7)^{2}-6\\\\f(x)=-4(x^{2} +14x+49)-6\\\\f(x)=-4x^{2} -56x-196-6\\\\f(x)=-4x^{2} -56x-202[/tex]

Thus, the equivalent function is [tex]f(x)=-4x^{2} -56x-202[/tex]

Learn more about the quadratic function here:

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Answer:

Step-by-step explanation:

hello :

x2+y2+16y−30x=0  means : (x²-30x)+(y²+16y) =0

(x²-30x+15²)-15²+(y²+16y+8²) -8²=0

(x-15)²-225+(y+8)²-64=0

(x-15)²+(y+8)²=289=17²......standard form when the center is (15,- 8)

and radius 17

Final answer:

To transform x^2+y^2+16y-30x=0 into the standard form of a circle equation, we must complete the square to obtain (x-15)^2+(y+8)^2=289. The circle's center is at (15, -8) and has a radius of 17 units.

Explanation:

To rewrite the given equation of the circle x^2+y^2+16y−30x=0 into standard form, we must complete the square for both x and y terms. First, rearrange the equation to group x and y terms together: x^2−30x + y^2+16y = 0. To complete the square, take half of the coefficient of x, which is −15, square it to get 225, and add it to both sides. Similarly, take half of the coefficient of y, which is 8, square it to get 64, and add it to both sides as well.

After adding these values, the equation becomes x^2−30x+225 + y^2+16y+64 = 225+64. Now it can be written as (x−15)^2 + (y+8)^2 = 289.

The standard form of a circle's equation is (x - h)^2 + (y - k)^2 = r^2, where (h,k) is the center of the circle and r is the radius. Thus, from our equation (x−15)^2 + (y+8)^2 = 289, the center is at (15, −8) and the radius is √289 which is 17 units.

Therefore, the correct statement is: 'The equation of the circle is (x−15)^2+ (y+8)^2=289; the center is at (15, −8), and the radius is 17 units.'

Answer:

1/4 or 25%

Step-by-step explanation:

So there are 1/4 of the students wearing each of the items. 1/4=25% if you are asked for it. I hope this helps.

Answer:

yes

Step-by-step explanation:

Answer:

yes it  is correct  good job

Step-by-step explanation:

Answer:

∠ 1 = 120°

Step-by-step explanation:

Note that ∠ Q and ∠ R are congruent, that is both 30°, thus

∠ 1 = 180° - (30 + 30)° = 180° - 60° = 120°

Answer:

Easy! X is going to be 58° degree's as well, because of the Vertical Angles Theorem!

Answer:

58 degrees

Step-by-step explanation:

It is symmetrical to the other side, which is 58 degrees.

Answer:

4

Step-by-step explanation:

The bottom half needs to be equal due to it's symmetrical sides.

Answer:

3

Step-by-step explanation:

^^

Answer:

It is A

Step-by-step explanation:

A because, you multiply -2 on both sides on the side with the x it cancels out on the one with the 5 it turns into -10 so the answer would be A

Answer:

B) [tex]115.5m^3[/tex]

Step-by-step explanation:

to find the volume we need to find first the area of the triangle, and then multiply by 11 which is the length of the prism:

the measurements are:

[tex]base=7m[/tex]

[tex]height=3m[/tex]

[tex]length=11m[/tex]

the area of the triangle in one side is:

[tex]triangle=\frac{(base)(height)}{2} \\triangle=\frac{(7m)(3m)}{2}\\ triangle=\frac{21m}{2}\\ triangle=10.5m^2[/tex]

and now to find the volume of the prism we multiply the area of the triangle by the length of the prism:

[tex]volume=(triangle)(height)\\volume=(10.5m^2)(11m)\\volume=115.5m^3[/tex]

which is option B)

Answer:

115.5 [tex]m^{3}[/tex]

Step-by-step explanation:

V = 1/2a·c·h

V = 1/2(3)(7)(11) = 115.5

Answer:

2,4,6,8,10 is even, 1,3,5,7,9 is odd. 983 is odd, 347 is odd, 36 is even, 44 is even

Step-by-step explanation:

Answer:

36.5 miles

Step-by-step explanation:

Answer:

write out the first three terms (ex. the first term was 8 miles for the first week)

find out the arithmetic sequence or d. (d= 1.5)

plug into explicit formula.

answer: 35

By applying the PEMDAS rule, the solution to the given expression is equal to 24.

In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical expression:

20 + 2(3y - 4x)

20 + 2(3(6) - 4(4))

20 + 2(18 - 16)

20 + 2(2)

20 + 4 = 24

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Answer: about 7 %

Step-by-step explanation: you take 350 and divide it by 4500

Answer:

hope it helps

Step-by-step explanation:

Answer:

25 hours

Step-by-step explanation:

5/.2=25

Answer:

25 hours

Step-by-step explanation:

If it travels 1/5 of an inch in an hour, then it travels 1 inch every 5 hours. We want 5 inches, so 5 hours x 5 is 25 hours. :)

Answer:

H. 120

Step-by-step explanation:

Answer:

[tex]cos(\alpha )=\frac{\sqrt{11} }{6}[/tex] and [tex]tan(\alpha )=\frac{5\sqrt{11} }{11}[/tex]

Step-by-step explanation:

First we would need to solve for the missing leg in order to figure out the remaining answers.

To do this we can use the Pythagorean Theorem a² + b² = c²

Our missing leg in this case is a, so solving for a gives us [tex]a=\sqrt{c^{2} -b^{2} }[/tex]

Here our b is 5 and our c is 6. So plugging in these values we get [tex]a=\sqrt{(6)^{2}-(5)^{2} } =\sqrt{36-25} =\sqrt{11}[/tex]

With this missing leg being solved, we can use trig identities to solve for cos and tan

I used the trig identity [tex]sin(\alpha )=\frac{opposite}{hypotenuse}[/tex] to set up the triangle in the attached image. We can use the trig identity [tex]cos(\alpha)=\frac{adjacent}{hypotenuse}[/tex] which would give us [tex]cos(\alpha )=\frac{\sqrt{11} }{6}[/tex] and we can use the trig identity [tex]tan(\alpha ) = \frac{opposite}{adjacent}[/tex] which would give us [tex]tan(\alpha )=\frac{5}{\sqrt{11} } =\frac{5\sqrt{11} }{11}[/tex]

Answer:

As trigonometry property:

(sinO)^2 + (cosO)^2 = 1

tanO = sinO/cosO

Then, if sinO = 5/6  = 0.83

=> (5/6)^2 + (cosO)^2 = 1

=> cosO = +/- sqrt(1 - (5/6)^2) = +/- 0.55

=>tanO = +/- 0.83/0.55 = +/- 1.51

Hope this helps!

:)

a. The mode for away goals is the 2nd quarter.

b. The mean number of goals per game is 4.8.

c. There were 4 more home goals scored than away goals in total across 10 games, with a total of 26 home goals and 22 away goals.

a. To find the mode for away goals, we need to determine which quarter had the most frequent number of away goals. Let's count the away goals for each quarter:

1st quarter: 2 away goals

2nd quarter: 9 away goals

3rd quarter: 7 away goals

4th quarter: 4 away goals

The 2nd quarter has the highest number of away goals, so the mode for away goals is the 2nd quarter.

b. To find the mean number of goals per game, we'll sum the total number of goals and then divide by the number of games:

Total number of goals = (5 + 4 + 8 + 9) + (2 + 9 + 7 + 4) = 48 goals

Number of games = 10

Mean number of goals per game = Total number of goals / Number of games = 48 goals / 10 games = 4.8 goals per game.

c. To find how many more home goals were scored than away goals in total, we'll calculate the difference in the total number of home goals and away goals:

Total home goals = 5 + 4 + 8 + 9 = 26 goals

Total away goals = 2 + 9 + 7 + 4 = 22 goals

Difference = Total home goals - Total away goals = 26 goals - 22 goals = 4 goals

In total, 4 more home goals were scored than away goals.

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Answer:

A. Steve

Step-by-step explanation:

Steve has to pay $50. So he has more debt than John

Answer:

[tex]\sqrt{697}[/tex]

Step-by-step explanation:

If the base of the square pyramid has an area of 576 units, then the side length must have a length of [tex]\sqrt{576}=24[/tex]. 24/2=12, and using the pythagorean theorem you can find that the height of the pyramid is [tex]\sqrt{29^2-12^2}=\sqrt{697}[/tex]. Hope this helps!

Answer:

80/100 or 80%

Step-by-step explanation:

Answer:

A=2

Step-by-step explanation:

in the figure, parabola cuts the graph at point (2,1)

point (2,1) is one of the solution of the given quadratic equation

Hence, we can find the value of a by putting the value of x and y, we get

1=a(2-3)^2-1

= 2=a

Which is why A is 2

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

a=[tex]\frac{y}{(x-3^)^{2} } + \frac{1}{(x-3)^{2} }[/tex]