Find the measure of the angle indicates.

Given:

Original figure and enlarged figure

To find:

Which ratios can be used to find the scale factor.

Solution:

Scale factor is the ratio of comparing the corresponding sides of two figures.

Option A:

[tex]$ \text {Scale factor} =\frac{\text { Enlarged }}{\text { Original }}=\frac{6.5}{3.25}$[/tex]

Length of enlarged side = 6.5

Length of original side = 3.25

It is correct.

Option B:

[tex]$\text {Scale factor}= \frac{\text { Enlarged }}{\text { Original }}=\frac{3.25}{6.5}$[/tex]

3.25 is the length of original figure. But here it is mentioned in enlarged.

So, it is not correct.

Option C:

[tex]$\text {Scale factor }=\frac{\text { Enlarged }}{\text { Original }}=\frac{3}{1.5}$[/tex]

Width of enlarged side = 3

Width of original side = 1.5

It is correct.

Option D:

[tex]$\text{Scale factor} =\frac{\text { Enlarged }}{\text { Original }}=\frac{1.5}{3}$[/tex]

1.5 is the width of original figure. But here it is mentioned in enlarged.

So, it is not correct.

Option E:

[tex]$\text{Scale factor}= \frac{\text { Enlarged }}{\text { Original }}=\frac{1.5}{3.25}$[/tex]

1.5 is the width of original figure. But here it is mentioned in enlarged.

So, it is not correct.

Therefore the ratios can be used to find the scale factor are:

[tex]$ \text {Scale factor} =\frac{\text { Enlarged }}{\text { Original }}=\frac{6.5}{3.25}\ \text{and }\ \text {Scale factor }=\frac{\text { Enlarged }}{\text { Original }}=\frac{3}{1.5}$[/tex]

Answer:

A C

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

step-by-step explanation is three angles of triangle are cut off so 1/3

Answer:

13 and 8

Step-by-step explanation:

pls mark this brainliest im trying to lvl up

The two numbers that add up to 21 but subtract to 5 are 13 and 8.

The two numbers are 13 and 8.

To find the numbers, set up the system of equations:
x + y = 21 (Equation 1)
x - y = 5 (Equation 2)

Adding Equation 1 and Equation 2, you get 2x = 26, which means x = 13.

Substituting x back into Equation 1 gives y = 8.

Answer:

8000 litres

Step-by-step explanation:

⅓ (4 × 2.5 × 2.4)

= 8 m³

1 m² = 1000 litres

8 m³ = 8000 litres

The volume of water in the tank in litres can be found by calculating one third of the capacity of the tank in cubic metres and then multiplying that by 1000. We represent this as 1000X/3 litres, where X is the total capacity of the tank in cubic metres.

To solve this problem, we firstly need to know the total capacity of the tank in cubic metres. Since we don't have this specific information in the question, let's call this capacity as 'X' cubic metres.

One third of the tank is filled with water, so the volume of water in the tank is one third of X, which is (1/3) * X cubic metres. We know that 1 cubic metre is equivalent to 1000 litres, therefore, the volume of the water in the tank in litres is (1/3) * X * 1000, which simplifies to 1000X/3 litres.

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Answer:

70

Step-by-step explanation:

Dividing is multiplying by the reciprocal.

So 30 divided by 1/2

is like 30(2)=60

Then add 10 so 60+10=

70

The equivalent value of the expression "dividing 30 by half and adding ten"  is 70.

Given data:

Regarding step-by-step dissecting of "dividing 30 by half and adding ten"

Step 1 is to divide 30 in half.

A number is effectively divided by 1/2 when we divide it in half. A fraction's reciprocal is what you multiply by when you divide by it. 1/2 has a reciprocal of 2/1, or only 2.

As a result, multiplying 30 by 2 is equivalent to dividing it in half:

To make the equation simpler:

30 ÷ (1/2) = 30 × 2

= 60

Step 2: Ten-folding.

We obtain 60 by dividing 30 in half.

Now double the outcome by ten:

60 + 10 = 70

So, when you multiply 30 by half, add 10, and you get 70.

Hence, the equation is solved and the solution is 70.

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The simplified form of the expression √(-16) + √(-25) + 5 is 5 + 9i, where i represents the imaginary unit.

The student has asked to simplify the expression Sq -16+sq-25+5. This appears to be a typo, and I believe they are referring to square roots. The correct mathematical expression to simplify should be √(-16) + √(-25) + 5. The simplification of the square roots involving negative numbers results in imaginary numbers because the square root of a negative number is not defined in the set of real numbers but rather in complex numbers. For the given expression, complex numbers and imaginary units ('i', wherein i^2 = -1) will be introduced in simplification:

When we add these results with 5, we obtain 5 + 4i + 5i, which simplifies to 5 + 9i.

Minimum price: Increases.

Maximum price: Remains the same.

Range: Increases.

Mean (Average) price: Cannot be determined.

When the kid's meal is added to the menu, the effect on the statistics of the meal prices can be determined as follows:

Minimum Price: Increases

Adding the kid's meal, which costs $2.35, to the menu will increase the minimum price.

Therefore, the value of the minimum price statistic will increase.

Maximum Price: Increases

Since the maximum price of the kid's meal ($2.35) is lower than the previous maximum price of $12.10, adding the kid's meal to the menu will not change the maximum price.

Therefore, the value of the maximum price statistic remains the same.

Range: Increases

The range is calculated as the difference between the maximum and minimum prices.

As the minimum price increases while the maximum price remains the same, the difference between them (the range) will increase.

Therefore, the value of the range statistic will increase.

Mean (Average) Price: Cannot be determined

To determine the effect on the mean price, we would need information about the number of meal options available and their individual prices. Without this information, we cannot determine whether the mean price will increase, decrease, or remain the same.

Therefore, the value of the mean price statistic cannot be determined.

In summary:

Minimum price: Increases

Maximum price: Remains the same

Range: Increases

Mean (Average) price: Cannot be determined

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Answer:

The answer is 1680m3

Step-by-step explanation:

h×b×1/2×w

Let's try a line

y = mx + b

From (0,4):

4 = 0x + b

b = 4

So far we have

y = mx + 4

From (1,1)

1 = m(1) + 4

-3 = m

Our rule is y = -3 x + 4

Let's check the other points:

-3(-4)+4 = 12+4 = 16 good

-3(4)+4 = -12+4 = -8 good

-3(9) + 4 = -23  good

Answer: y = -3 x + 4

The rule matching a function as shown by a table can be determined by analyzing the difference and relationship between x-values and y-values. This might represent a linear, exponential, or quadratic relationship, which can be described by a range of mathematical equations.

Unfortunately, without having the actual table and data, it is hard to give an accurate rule for the function. However, generally, in order to define a rule that matches a function represented by a table, you would need to discern a pattern between the inputs (often represented by the x-values) and the outputs (represented by the y-values).

In some cases, this might be a simple linear rule where each step in the x-values increases or decreases the y-values by a consistent rate; this would represent a formula of the format y = mx + b, where m is the change in y over the change in x, and b is the y-value when x = 0. Alternately, more complex relationships (such as exponential or quadratic rules) might be represented and would need different formulas to be described properly.

Determining the rule can often involve finding the rate of change between pairs of data points and discerning what kind of relationship this reveals. The explanation and answer would then match this established pattern.

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Answer:

104

Step-by-step explanation:

180- 76 = 104

Answer:

104

Step-by-step explanation:

Using the cosine ratio, side BC in the right-angled triangle is approximately 19.4 cm when rounded to three significant figures.

In the right-angled triangle ABC, where angle A is 90 degrees, side AB is the base, side AC is the perpendicular, and side BC is the hypotenuse, we can use trigonometry to find the length of BC.

The cosine ratio (cos) relates the adjacent side to the hypotenuse in a right-angled triangle. In this case, cos(B) = AB/BC. To find BC, rearrange the formula to BC = AB/cos(B).

Given AB = 6.3 cm and angle B = 71 degrees, substitute these values into the formula:

[tex]\[ BC = \frac{6.3 \, \text{cm}}{\cos(71^\circ)} \][/tex]

Using a calculator, find that cos(71 degrees) is approximately 0.325. Now, divide 6.3 cm by this value:

[tex]\[ BC \approx \frac{6.3 \, \text{cm}}{0.325} \approx 19.385 \, \text{cm} \][/tex]

Rounded to three significant figures, the length of side BC is approximately 19.4 cm.

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Answer: 135 miles

Step-by-step explanation: I am quick mafs

Answer:

The first term is 128

Step-by-step explanation:

The common ratio of the geometric series is given as:

[tex]r = \frac{1}{4} [/tex]

The sum of the first 4 term is 170.

The sum of first n terms of a geometric sequence is given b;

[tex]s_n=\frac{a_1(1-r^n)}{1-r}[/tex]

We put the common ratio, n=4 and equate to 170.

[tex]\frac{a_1(1-( \frac{1}{4} )^4)}{1- \frac{1}{4} } = 170[/tex]

Simplify:

[tex]\frac{a_1(1- \frac{1}{256} )}{ \frac{3}{4} } = 170[/tex]

[tex] \frac{255}{256} a_1 = \frac{3}{4} \times 170[/tex]

[tex]\frac{255}{256} a_1 = \frac{255}{2} [/tex]

[tex]\frac{1}{256} a_1 = \frac{1}{2} [/tex]

[tex] a_1 = \frac{1}{2} \times 256[/tex]

[tex]a_1 = \frac{1}{2} \times 256 = 128[/tex]

Answer:

128

Step-by-step explanation:

Answer:

154.29

Step-by-step explanation:

The area of rectangle is given by

Ar=lw

Area of semi circle is given by

[tex]A_c=0.5\pi r^{2}[/tex]

Since there are two semi-circles then the area will be

[tex]A_c=2*0.5\pi r^{2}=\pi r^{2}[/tex]

The diameter is given as 8 units hence the radius is half the diameter, 4 units

Length is given as 13 units and width is diameter which is equal to 8 units

Area of rectangle will be 13*8=104 square units

Area of the two semi-circles will be

[tex]A==\pi 4^{2}=50.285714285713[/tex]

Total area wi be 104+50.285714285713=154.285714285713 square units

Rounded off as 154.29 square units

Answer:

The answer is 154.3

Answer:

[tex]\sqrt{8}[/tex] Is Correct!

The distance between (-5, -6) and (-3,-8) is [tex]\sqrt{8}[/tex].

Here we applied the distance formula

[tex]= \sqrt{(x_2 - x_1)^2 + (y_2 - y_2)^2} \\\\= \sqrt{(-3+5)^2 + (-8 + 6)^2}\\\\ = \sqrt{4 + 4} \\\\= \sqrt{8}[/tex]

Hence, we can conclude that The distance between (-5, -6) and (-3,-8) is [tex]\sqrt{8}[/tex].

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Answer:

2600 were tested

99.6% of 2590 = - 10 + 10  = 2600 people.

99.6% of 2600 = 2589.6

Step-by-step explanation:

10 = positive = inverse of 99.6 = 0.4

0.4 x 1000 = 400

So we need an odd number ie) 3,000 minus 400 to make 10 extra when inverse is missing. = 3000 - 400 = 2600

99.6% of 2600 = 2589.6

Is the lowest number.

Answer:

"Integrated science is defined as a cumulative approach of scientific study that synthesizes the per- spectives of the individual disciplines, and integrates them during all phases of the approach to a question or problem, with the results having an influence on policy and management decision".

Step-by-step explanation:

*Hope this helps*

Science is a systematic study of the natural world that relies on evidence and logical testing of ideas, including various disciplines such as physics, chemistry, and biology.

Science is a systematic examination of the natural world's structure and functioning, including its physical and biological attributes. It is a process of gaining knowledge based on evidence and logical testing of ideas. Natural sciences encompass physics, chemistry, biology, geology, and astronomy and use mathematics and logic as part of their methodologies.

Answer:

I believe this is the answer your looking for? 22 + 2y

Step-by-step explanation:

Answer:

To use the distributive property, distribute multiplication by 2 to both terms inside the parentheses.

The products are 2(11) and 2(y).

The equivalent expression is 22 + 2y.

Step-by-step explanation:

hope this helps!

Given a volume of 4500π cubic feet, the radius is found to be approximately 15 feet after solving the equation.

To find the radius of a sphere given its volume, we use the formula for the volume of a sphere: V = (4/3)πr³. In this case, the given volume is 4500π cubic feet. To solve for the radius, we can set up the equation as follows:

V = (4/3)πr³

4500π = (4/3)πr³

To isolate r³, we divide both sides by π and then multiply by 3/4:

4500 = (4/3)r³

(3/4) * 4500 = r³

3375 = r³

Now, we take the cube root of both sides to find the radius:

r = ³√3375

r ≈ 15 feet

Therefore, the radius of the sphere is approximately 15 feet.

the radius of the sphere is 15 feet.

The formula for the volume [tex](\( V \))[/tex] of a sphere in terms of its radius [tex](\( r \))[/tex] is:

[tex]\[ V = \frac{4}{3}\pi r^3 \][/tex]

Given that the volume of the sphere is [tex]\( 4500\pi \)[/tex] cubic feet, we can set up the equation:

[tex]\[ 4500\pi = \frac{4}{3}\pi r^3 \][/tex]

To find the radius [tex]\( r \)[/tex], we need to isolate it in the equation. First, let's cancel out [tex]\( \pi \):[/tex]

[tex]\[ \frac{4500\pi}{\pi} = \frac{4}{3} r^3 \][/tex]

[tex]\[ 4500 = \frac{4}{3} r^3 \][/tex]

Now, to solve for [tex]\( r \)[/tex], we'll multiply both sides by [tex]\( \frac{3}{4} \)[/tex] to isolate [tex]\( r^3 \):[/tex]

[tex]\[ r^3 = \frac{4500 \times 3}{4} \][/tex]

[tex]\[ r^3 = \frac{13500}{4} \][/tex]

[tex]\[ r^3 = 3375 \][/tex]

Now, to find ( r ), we'll take the cube root of both sides:

[tex]\[ r = \sqrt[3]{3375} \][/tex]

[tex]\[ r = 15 \][/tex]

So, the radius of the sphere is 15 feet.

Answer:12.5h

Step-by-step explanation:

First, you would add 5+3+4.5. This equals 12.5. H represents her hourly pay rate. In order to find how much she earned, you would have to multiply 12.5(h).

Answer:12.5h

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

The answer is 1

Hence Only 1 triangle can be drawn

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Answer:

t = -1

Step-by-step explanation:

-4 = 2t - 2

2t = -2

t = -1

Can I get brainliest

Answer:

t = -1

Step-by-step explanation:

-4 = 2t - 2

Add 2 on both sides.

-4 + 2 = 2t - 2 + 2

-2 = 2t

Divide both sides by 2.

-2/2 = (2t)/2

-1 = t

Answer:

G

Step-by-step explanation:

Range is the set of y values

Least function value is -3 and greatest is 4

The range of the function is -3 ≤ y ≤ 4, the correct option is G.

A function is a law that relates two variables namely, a dependent and an independent variable.

A function always has a defined range and domain.

Domain is all the value a function can have as an input

Range is all the value that a function can have as an output.

The function can be seen in the graph, it is a piecewise function

The range of the function has to be determined, all the possible value of y has to be noted from the graph.

The y has the value in the range of -3 to 4.

So, the range is -3 ≤ y ≤ 4.

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Answer:

22.6 mi

Step-by-step explanation:

The shortest route is to go from bloomington to seaside to westminster. Simply add up the distances along this route.

Answer:

22.6

Step-by-step explanation:

13.2+9.4=22.6

Answer: The answer is 175

Step-by-step explanation:

Answer:

175

Step-by-step explanation:

Answer:

The answer is 67.5

Step-by-step explanation:

Given Evelyn's hourly rates for both of her jobs and the total number of working hours she has, Evelyn can work a maximum of 7 hours tutoring if she has already spent 8 hours lifeguarding.

To solve this problem, we first calculate the total earning from lifeguarding by multiplying the hourly rate by the number of hours she worked, which results in $18 * 8 = $144. The minimum total earning she must make is $200, so she still needs to earn $200 - $144 = $56. Since she is making $11 per tutoring hour, she will need to work a minimum of $56 / 11 which is approximately 5 hours. However, these are still part of the total of 15 hours maximum she can work, and she has already worked 8 hours lifeguarding, meaning she can work at most 15 - 8 = 7 hours tutoring in the remaining time.

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The maximum number of whole hours tutoring that Evelyn can work while still meeting her requirements is 5 hours.

To solve this problem, we can use a combination of inequalities to represent the given constraints.

We need to solve these inequalities simultaneously to find the maximum number of whole hours Evelyn can work as a tutor.

1. The first inequality:

[tex]\[ x + 8 \leq 15 \][/tex]

[tex]\[ x \leq 15 - 8 \][/tex]

[tex]\[ x \leq 7 \][/tex]

2. The second inequality:

[tex]\[ 18(8) + 11x \geq 200 \][/tex]

[tex]\[ x \geq \frac{56}{11} \][/tex]

[tex]\[ x \geq 5.09 \][/tex]

Since the number of tutoring hours must be a whole number, Evelyn can work a maximum of 5 whole hours tutoring and still meet her requirements.

Therefore, the maximum number of whole hours tutoring that Evelyn can work while still meeting her requirements is 5 hours.

Answer:

8

Step-by-step explanation:

If the gardener bought more white than pink, that could mean he could have bought 12 white and one pink, 11 white and 2 pink, 10 white and 3 pink, 9 white and 4 pink, 8 white and 5 pink, or 7 white and 6 pink.

If you plug in the numbers, for example with 7 and 6, that would equal $53, which is not correct. Continue to do this with all of the answers.

With 8 white roses and 5 pink roses, this would equal $55 (40+15), which is the answer.

By solving form expressions the gardener bought 5 pink plants.

In mathematics, an expression is a combination of one or more numbers, variables, constants, and operators, which when evaluated, produce a value. Expressions can include mathematical symbols such as addition, subtraction, multiplication, division, exponents, roots, logarithms, and trigonometric functions.

Let's use algebra to solve this problem.

Let's assume that the gardener bought x pink plants and y white plants. We know that:

The gardener bought 13 plants in total: x + y = 13

The gardener spent $55: 3x + 5y = 55

The gardener chose more white plants than pink: y > x

We can use the first equation to solve for x in terms of y:

x = 13 - y

Now we can substitute this into the second equation:

3(13 - y) + 5y = 55

Simplifying and solving for y:

39 - 3y + 5y = 55

2y = 16

y = 8

So the gardener bought 8 white plants. To find out how many pink plants were bought, we can substitute this value into the first equation:

x + y = 13

x + 8 = 13

x = 5

So the gardener bought 5 pink plants.

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Answer:

Must determine the LCD.  Think:  what is the smallest (least) number divisible by both 30 and 20?  You could, of course, just multiply 30 and 20, obtaining 600, but that would not be the LCD.

Note that 30 and 20 share the common factor 10.  Multiplying 3 and 2 together produces 6.  The LCD is 10*6 = 60.  Note that both 30 and 20 divide into 60 with no remainder.

Then  19/30  = 2(19) / 2[30]  = 38/60, and 

13/20 = 3(13) / 3[20]  = 39/60.

Which is larger, 38/60 or 39/60?

Write the relationship between these 2 numbers using the appropriate inequality operator.

Step-by-step explanation:

The fractions 13/30 and 9/20, when rewritten with a common denominator, are 26/60 and 27/60, respectively.

To rewrite the fractions 13/30 and 9/20 with a common denominator, we need to find the least common multiple (LCM) of the denominators, which is the smallest multiple that both 30 and 20 share.

The prime factorization of 30 is 2 * 3 * 5, and the prime factorization of 20 is 2 * 2 * 5. To find the LCM, we take the highest power of each prime factor that appears in either number:

LCM(30, 20) = 2 * 2 * 3 * 5 = 60

Now, let's rewrite the fractions with the common denominator of 60:

13/30 = (13/30) * (2/2) = (13 * 2) / (30 * 2) = 26/60

9/20 = (9/20) * (3/3) = (9 * 3) / (20 * 3) = 27/60

So, the fractions 13/30 and 9/20, when rewritten with a common denominator, are 26/60 and 27/60, respectively.

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Answer:

See below in BOLD.

Step-by-step explanation:

Rearrange in ascending order of age:

11 11 11 12 12 13 14 15 15 16

1. The mean = (11 +11 +11 +12 +12 +13+ 14 +15+ 15+ 16) / 10

= 130/10

= 13 years.

2.  The median is the mean of the middle 2 numbers in the list:

= (12 + 13) / 2

= 12.5 years.