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Question 9 options:
The city of Redmond is planning to build a new park by enlarging the current park by a scale factor of 3. The current park has an area of 30,125 yd².

The area of the new park is ___ yd².

Answer:

Step-by-step explanation:

3/2=5d-1/2 ( do cross multiplication )

3*2=2(5d-1)

6=10d-2

6+2=10d

8/10=d

4/5=d

0.8=d

Answer:

2.77

Step-by-step explanation:

39.50x.07=2.77

Answer:

x=10  3x= 30

Step-by-step explanation:

3x = 30 since the angles are vertical angles

3x/3 = 30/3

x = 10

Answer:

B

Step-by-step explanation:

Set up an equation:

30 = 3x

Divide both sides by 3:

10 = x

x = 10 degrees

Plug the value of x into the angle:

3 × 10

30 degrees

Answer:

28√108

Step-by-step explanation:

4√6 * 7√18

28√108

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Answer:

0.29

Step-by-step explanation:

Total grade frequency = (5 + 10 + 15 + 3 + 2) = 35

Frequency of grade B = 10

Probability = required outcome / Total possible outcomes

Required outcome = frequency of grade B = 10

Total possible outcomes = total grade frequency = 35

P(B) = 10 / 35

P(B) = 0.2857

P(B) = 0.29

Answer:D

Step-by-step explanation:

It’s D

Answer:

[tex]\$ 80[/tex]

Step-by-step explanation:

Since we know the price per square meter, we can find area of the figure and multiply it by the price per square meter.

The area of the composite figure consists of a trapezoid and a rectangle.

Area of trapezoid: [tex]\frac{(8+4)}{2}\cdot 2=6\cdot 2 = 12\:\mathrm{m^2}[/tex]

Area of rectangle: [tex]4\cdot 2=8\:\mathrm{m^2}[/tex]

Therefore, the area of the composite figure is equal to [tex]12+8=\boxed{20\:\mathrm{m^2}}[/tex]. Since the problem states that it will cost Anthony $4 per square meter, the total cost to tile the entire figure will be [tex]20\cdot 4=\boxed{\$80}[/tex]

The probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability that the Yankees will win a game P(win) = 0.6

The probability that the Yankees will score 5 or more runs in a game is:

P(s>5) = 0.57

The probability that the Yankees lose and score fewer than 5 runs is:

P(s<5) = 0.34

To find the probability that the Yankees would score fewer than 5 runs when they win the game:

This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:

= P(win)×P(s<5)

= 0.6×0.34

= 0.204

Thus, the probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

Learn more about the probability here:

brainly.com/question/11234923

Answer:

S = 9180°

Step-by-step explanation:

Given the following data;

Number of sides = 53

To find the sum of interior angles of a 53-gon;

Mathematically, the sum of the interior angles in a regular polygon is given by the formula;

S = 180(n - 2)

Where;

n is the number of sides.

S is the sum of the interior angles

Substituting into the formula, we have;

S = 180(53 - 2)

S = 180 * 51

S = 9180°

Answer:

Step-by-step explanation:63

Answer:

b

Step-by-step explanation:

Answer:

the height of the cylinder is 28cm

[tex] c.\:{x}^{ - 4} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{7 {x}^{4} }{7 {x}^{8} } \\ = \frac{ {x}^{4} }{ {x}^{8} } \\ = {x}^{4 - 8} \\ = {x}^{ - 4} [/tex]

Note:-

[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

The surface area of the prism is 544 in²

Step-by-step explanation:

Given;

base of the triangular prism, b = 12 in

side length, = 10 in and 14 in

height = 8 in

The surface area is calculated as follows;

S.A = 2(area of the triangular face)  + area of the rectangualr faces

S.A = 2( ¹/₂ x 12 x 8)  +  2(14 x 10)  + 14 x 12

S.A = (96)  + 2(140)  +  (168)

S.A = 96  +  280  +  168

S.A = 544 in²

Therefore, the surface area is 544 in²

Answer:

x = 12

Step-by-step explanation:

(2x + 4) and (12x + 8) are same- side interior angles and sum to 180° , then

2x + 4 + 12x + 8 = 180

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

Answer:

7.76

Step-by-step explanation:

tan 29° = XY/14

XY = tan 29° (14)

= 7.76

Answer:

XY=7.76

Step-by-step explanation:

Tan25° says opp÷adj

so it's Tan29°=XY÷14

then multiply both sides by 14 to make CY the subject of the formula...

14×Tan29°=XY

therefore=XY=7.76

Answer:

Look Im pretty sure key word pretty sure that it is F

Step-by-step explanation:

Answer:

Step-by-step explanation:

Proper scientific notation means that there is only 1 number to the left of a decimal and everything else to the right of it. Also, because the number is initially less than 1, the exponent will be a negative one. We have to move the decimal 4 places to the right in order to get the 6 to the left of it, so in correct scientific notation format, we have

[tex]6.363*10^{-4[/tex]

Answer:

x=3+√10 or x=3−√10

Let's solve your equation step-by-step.

x2=6x+1

Step 1: Subtract 6x+1 from both sides.

x2−(6x+1)=6x+1−(6x+1)

x2−6x−1=0

For this equation: a=1, b=-6, c=-1

1x2+−6x+−1=0

Step 2: Use quadratic formula with a=1, b=-6, c=-1.

x= −b±√b2−4ac

2a

x=

−(−6)±√(−6)2−4(1)(−1)

2(1)

x=

6±√40

2

x=3+√10 or x=3−√10

x=3+√10 or x=3−√10

Let's solve your equation step-by-step.

x2=6x+1

Step 1: Subtract 6x+1 from both sides.

x2−(6x+1)=6x+1−(6x+1)

x2−6x−1=0

For this equation: a=1, b=-6, c=-1

1x2+−6x+−1=0

Step 2: Use quadratic formula with a=1, b=-6, c=-1.

x= −b±√b2−4ac

2a

x=

−(−6)±√(−6)2−4(1)(−1)

2(1)

x=

6±√40

2

x=3+√10 or x=3−√10Answer:

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

30 + 15c = 10 + 20c

15c - 20c = 10 - 30

-5c = -20

c = 4

When they both catch 4 criminals, they earn the same amount of money.

Given:

The figure of a rhombus QRST.

To find:

A. The value of x.

B. The measure of angle RQP.

Solution:

A. We need to find the value of x.

We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.

[tex]m\angle RPS=90^\circ[/tex]                       [Right angle]

[tex](5x+15)^\circ=90^\circ[/tex]

[tex](5x+15)=90[/tex]

[tex]5x=90-15[/tex]

[tex]5x=75[/tex]

Divide both sides by 5.

[tex]x=\dfrac{75}{5}[/tex]

[tex]x=15[/tex]

Therefore, the value of x is 15.

B. We need to find the measure of angle RQP.

From the given figure, it is clear that

[tex]m\angle RQP=(2x+3)^\circ[/tex]

Putting [tex]x=15[/tex], we get

[tex]m\angle RQP=(2(15)+3)^\circ[/tex]

[tex]m\angle RQP=(30+3)^\circ[/tex]

[tex]m\angle RQP=33^\circ[/tex]

Therefore, the measure of angle RQP is 33 degrees.

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

X (5, - 1 ) → X' (- 5, - 1 )

Y (1, 4 ) → Y' (- 1, 4 )

Z (- 8, 0 ) → Z' (8, 0 )

Answer: The ratio represents the cosine of ∠H = [tex]\frac{21}{29}[/tex]

Step-by-step explanation:

Given, In right triangle ΔHIJ, the measure of ∠J=90°, HJ = 21, JI = 20, and IH = 29.

To find: The  ratio represents the cosine of ∠H.

According to trigonometry, the cosine of x = [tex]\frac{\text{side adjacent to x}}{\text{Hypotenuse}}[/tex]

So cosine of [tex]\angle H=\frac{HI}{HJ}[/tex]

Cosine of [tex]\angle H=\frac{21}{29}[/tex]

hence, the ratio represents the cosine of ∠H = [tex]\frac{21}{29}[/tex]

Answer:

22 times 4 1/2 divided by 2

Option D represents a data set with a lower quartile of 24 and an upper quartile of 42.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.

The lower quartile, also called the first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

Similarly, the second quartile (also called median) is approximately in mid of the data.

The third quartile has approx 75% in its left partition, and on its right lies approx 25% of the data.

Left to right is said in the assumption that data were arranged increasingly from left to right

Hence, the box plot that represents a data set with a lower quartile of 24 and an upper quartile of 42 from the given option is D.

Learn more about quartiles here:

brainly.com/question/9260741

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