A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 35 ft long and 22Ft wide. Find the area of the garden. Do not round any intermediate steps. Round your final answer to the nearest hundredth and be sure to include the correct unit.

Applying the leg rule, the value of x in the right triangle is: 8.9 units.

The leg rule is given as:

hypotenuse/leg = leg/part

Given the following:

Plug in the values

16/x = x/5

x² = 16×5

x² = 80

x = √80

x = 8.9 units.

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Answer:

c=-9x^2-15x

Step-by-step explanation:

Answer:

c = 6.25

Step-by-step explanation:

For this to occur, the discriminant of the quadratic formula must = 0

b^2 - 4ac = 0

15^2 - 4(9)(c) = 0

36c = 225

c = 6.25

Answer:

x = 2

Answer is explained in image itself.

The angle of elevation is = 70° and the distance the airplane travelled in the air is = 17,557ft

tan x° = opposite/adjacent

where opposite = 16,500 feet

adjacent = 6,000 ft

tan x° = 16,500 / 6,000

tan x° = 2.75

X = arctan ( 2.75)

X = 70°

C² = a² + b²

C² = 16,500² + 6,000²

C² = 272250000 + 36000000

C² = 308250000

C= √308250000

C= 17,557ft

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Answer:

x²-8x-84

Using quadratic Formular -b±√b²-4ac/2a

--8±/8²-4×1×-84 /2×1

8±/64+336/2

8±/400/2

8±20/2

8+20/2, 8-20/2

28/2, -12/2

14,-6

Answer:

Hi!

The slope of the line is marked as rise over run and in slope intercept form it is mx. We can tell from the way the line is slanting that it is a positive slope. It goes up 1, over 6. So therefore, the slope is 1/6.

The y intercept of the line is -4, which we know because that is where the line and the y axis meet. The y intercept is b in slope intercept form.

The slope intercept form is y = 1/6x -4.

For standard form, we subtract 1/6x from both sides to get

-1/6x + y = -4

Hope this helps!

Step-by-step explanation:

Angle 1 and angle 4 are corresponding angles, meaning that they are in the same relative position on their line.

Corresponding angles are congruent, which means angles 1 and 4 are congruent (equal to each other).

Angle 1 = Angle 4

74 = 3x - 18

92 = 3x

x = [tex]30 \frac{2}{3}[/tex]

---Rounded to the nearest tenth: 30.7

---Rounded to the nearest hundredth: 30.67

---Rounded to the nearest thousandth: 30.667

Hope this helps!

Answer:

Step-by-step explanation:

3x - 18 = 74

3x = 92

x ≈ 30 2/3

Answer:

Its skewed right

Step-by-step explanation:

I did the quiz and that was the answer

The distribution of this graph is Uniform.

The correct option is A.

Based on the provided dot plot, where there are 4 dots above each value from 5 to 10, the distribution can be described as uniform.

Uniform distribution refers to a distribution where the data points are evenly spread out across the range without any noticeable skewness or clustering. In this case, since there are an equal number of dots above each value within the given range, the distribution is uniform.

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Answer:

B, C, and D

Step-by-step explanation:

Hey there!

In order to find if the area of these shapes are 24, we need to first find the area

A. Triangle: Base of 8 feet, Height of 3 feet

Formula for area of triangle: Base x height x 1/2

8 x 3 x 1/2 --> 24 x 1/2 --> 12

Not an answer

B. Rectangle: Width of 4 feet, Length of 6 feet

Formula for area of rectangle: Length x width

4 x 6 --> 24

It is an answer

C. Parallelogram: Base of 12 feet, Height of 2 feet

Formula for area of Parallelogram: Base x height

12 x 2 --> 24

It is an answer

D. Triangle: Base of 6 feet, height of 8 feet

Formula for area of triangle: Base x height x 1/2

6 x 8 x 1/2 --> 48 x 1/2 --> 24

It is an answer

In conclusion, the statements that make this rule true are:

B, C, and D

Answer:

  46

Step-by-step explanation:

The midsegment DF has half the length of the side AC it is parallel to.

__

AC = 2×DF = 2×23

AC = 46

Answer:

618 391 .87

Step-by-step explanation:

5 years 6 months = 22 quarters

8% = .08      .08/4 = .02 interest per period

400 000 ( 1 + .02)^22 = 618 391.87

Answer:

(-3,4), (-3,1), and (-5,1)

Answer:

B

Step-by-step explanation:

Probability of apple :

Probability of banana :

Probability of lemon :

Probability of orange :

Probability of pear :

The correct probability distribution for the 50 pieces of fruit, in the order listed is shown in option B. 0.2  0.3  0.12  0.28  0.1

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Total pieces of fruits = 50 pieces

Number of apple pieces = 10

Probability of apple pieces from the whole pieces = 10/50 = 0.2

Number of banana pieces = 15

Probability of banana pieces from the whole pieces = 15/50 = 0.3

Number of lemon pieces = 6

Probability of lemon pieces from the whole pieces = 6/50 = 0.12

Number of orange pieces = 14

Probability of orange pieces from the whole pieces = 14/50 = 0.28

Number of pear pieces = 5

Probability of pear pieces from the whole pieces = 5/50 = 0.1

Hence the correct probability are B. Probability 0.2 0.3 0.12 0.28 0.1.

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Answer:

When x= 3,

2x => 6

5x+ 1 => 16

According to the pythagorus theorem,

hypotenus²= base² + height²

hypotenus²=  6² + 16²

hypotenus = √ 292 = 17.1

answer option no. 3

Answer:

2. 17.1 units

Step-by-step explanation:

x=3

2 x 3=6

5 x 3 + 1=16

6² + 16²=c²

36 + 256=c²

292=c²

[tex]\sqrt{292}[/tex]=17.0880075

c=17.1

Answer:

x = 1331

Step-by-step explanation:

Squaring both sides :

Answer:

A

Step-by-step explanation:

because 26-15=11. Then 11:26! Hope I helped:)

The odds in favor of drawing a yellow tile is 11/26

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in to predict how likely events are to happen.

Total tiles 26 in a bag

purple tiles = 15

yellow tiles= 26-15

                  = 11 tiles

So,  the odds in favor of drawing a yellow tile is 11/26.

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Step-by-step explanation:

we can easily count this, as the diagonal lines are squares truly in half. so, 2 such cut squares are in total 1 full square.

there is one central rectangle of 4×6 squares = 24.

then in the upper left corner there is a small 2×2 square = 4.

and then we have in the bottom left 2 and the bottom right also 2 small triangles (4 in total) with each having 1 full square and 2 half-squares (2 squares in total) as area.

so, 4×2 = 8 squares.

so, the whole area is

24 + 4 + 8 = 36

Answer:

one correct answer =24pts

therefore, 15 correct answers = 24 × 15 = 360pts

one incorrect answer = 1pts

so, 15 incorrect answers = 1 × 15 = 15pts

Saniyah's score = 360 - 15 = 345pts

Answer:

D

Step-by-step explanation:

|3x – 12| ≥ 6  put it into 2 cases

3x - 12 ≥ 6         or         3x - 12 ≤ -6

3x ≥ 18              or         3x ≤ 6

x ≥ 6                  or         x ≤ 2

Answer:

y=2x

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]3(7x-8)\\\\=3(7x)-3(8)\\\\=21x-24[/tex]

Answer:

Alright so there are two ways

Step-by-step explanation:

If your radius is 16cm, then the diameter equals 32cm

If your diameter is 16cm, then your radius equals 8cm

By concepts of trigonometry and of perpendicularity, the angles AKL and AKC from respective right triangles have measures of 90° and 32.3°, respectively.

As planes ABCD and BCLK are perpendicular to each other, the triangles AKL and AKC are right angled. The required angles can be found by using the following trigonometric relationships:

[tex]\angle AKL = 90^{\circ}[/tex] (As line segments AK and KL are perpendicular to each other)

[tex]\angle AKC = \tan^{-1} \left(\frac{AC}{KC} \right) = \tan^{-1} \left(\frac{\sqrt{2}\cdot a}{\sqrt{5} \cdot a} \right) = \tan^{-1} \sqrt{\frac{2}{5} }[/tex] (as line segments AC and KC are perpendicular to each other)

[tex]\angle AKC \approx 32.312^{\circ}[/tex]

By concepts of trigonometry and of perpendicularity, the angles AKL and AKC from respective right triangles have measures of 90° and 32.3°, respectively.

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Answer:

[tex]13k - 5[/tex]

Step-by-step explanation:

[tex]5(2k + 2) + 3(k - 5) = 10k + 10 + 3k - 15 \\ = 13k - 5[/tex]

Answer:

Salt: 1, 2, 4

Pepper: 1/2, 1, 2

Garlic Powder: 1/4, 1/2, 1

Onion Powder: 1/4, 1/2, 1

Step-by-step explanation:

The batches are doubling each time.

Answer:

the answer is 27

Step-by-step explanation:

because 45 divided by 5 equals 9

and 9 times 3 equals 27

Answer:

y = 4 * sec x - 1

Step-by-step explanation:

From looking at the graph we can safely determine it's either CSC x or SEC x.

It SEC x because at the origin of it is exactly the same. Now we determine whether it has a vertical/horizontal stretch/shrink and translation shift.

Seeing it is a vertical stretch by 4 and translation 1 down.

I am not sure how to explain it in the more correct way. I have graphed it just to confirm if it is similar to your graph.

Answer:

m<ZB is 36 degrees

Step-by-step explanation:

Since they are vertical angles, they are congruent. U set up the equation like this “2x+26=3x+21” and solve for x

subtract 2x from both sides and you’ll get “26=x+21”

subract 21 from both sides and you’ll get “5=x”

now we substitute x for 5!

3(5)+21=

15+21=

36

So m<ZB is 36 degrees!

ur welcome :)

hope i helped

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