According to Howard Jones, what is one historical circumstance that led to support for United States expansion overseas in the 1890s? ​

Answer: 12 units

Step-by-step explanation:

    Since this is a "special" right triangle with congruent legs. We can multiply 6[tex]\sqrt{2}[/tex] by [tex]\sqrt{2}[/tex] to find the length of d.

   6[tex]\sqrt{2}[/tex] * [tex]\sqrt{2}[/tex] = 12

         d = 12

Answer:

d = 12

Step-by-step explanation:

multiply 6√2 by √2

since they are congruent angles (angles that have equal measure).

Answer:

25

Step-by-step explanation:

multiply 10 times 100

divide that by 40

Multiplication is the process of multiplying two numbers. The amount that is needed to be added to the income is $1,820.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Jordan's family needs to add $35 more per week to their food budget, Since a year has 52 weeks, therefore, the amount that is needed to be added by Jordan's family is,

[tex]\rm Amount\ Needed = \$35 \times 52 = \$1,820.00[/tex]

Hence, the amount that is needed to be added to the income is $1,820.

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Answer:

Below!

Step-by-step explanation:

Given square root:

[tex]\sqrt41[/tex]

Let's note a few perfect square roots.

[tex]1 = \sqrt{1 \times 1} = \sqrt{1}[/tex]

[tex]2 = \sqrt{2 \times 2} = \sqrt{4}[/tex]

[tex]3 = \sqrt{3 \times 3} =\sqrt{9}[/tex]

[tex]4 = \sqrt{4 \times 4} =\sqrt{16}[/tex]

[tex]5 = \sqrt{5 \times 5} =\sqrt{25}[/tex]

[tex]6 = \sqrt{6 \times 6} =\sqrt{36}[/tex]

[tex]7 = \sqrt{7 \times 7} =\sqrt{49}[/tex]

[tex]8 = \sqrt{8 \times 8} =\sqrt{64}[/tex]

And so on...

When looking at the perfect square roots we identified, we can say that:

[tex]\sqrt{36} < \sqrt{41} < \sqrt{49}[/tex]

Therefore,

[tex]6 < \sqrt{41} < 7[/tex]

We can conclude that [tex]\sqrt{41}[/tex] is between 6 and 7.

Let's check the squares of first 10 number

41 lies between 36 and 49

Hence

Answer:

B

Step-by-step explanation:

Remark

The angle opposite the hypotenuse is 90 degrees. The hypotenuse is 13 in this case and is labeled c.

The second longest line is opposite the second largest angle

Sin(A) = opposite / hypotenuse

Solution

Sin(A) = 12 / 13   =        Opposite / hypotentenuse

Sin(A) = 0.9231             12/13 = 0.9231          

A = sin-1(0.9231)           Take the inverse sine of 0.9231

A = 67 rounded

Therefore then angle opposite the shortest side must be 90 - 67 = 23

Answer: 67 and 23

Answer:

21.4

Step-by-step explanation:

a^2+b^2=c^2

13^2+17^2=c^2

169+289=c^2

458=c^2

squrt 458=c^2

21.4=c

Answer:

240 feet

Step-by-step explanation:

hope this helps :)

[tex]\sqrt{12} - \sqrt{27}\\\\=\sqrt{4 \times 3} - \sqrt{9 \times 3}\\\\=2\sqrt 3 - 3\sqrt 3\\\\=-\sqrt 3[/tex]

Answer:

10

Step-by-step explanation:

If the mean of the sample is 18.7, The 95% confidence interval for the population mean is 18.7 ± 11.6.

z-score for 95% confidence interval =1.96

Lower limit of the interval:

Lower limit=Sample mean-(Z-score×Margin of error)

Lower limit=18.7-(1.96×5.9)

Lower limit=18.7-11.564

Lower limit=18.7-11.6 (Approximately)

Upper limit of the interval:

Upper limit=Sample mean+(Z-score×Margin of error)

Upper  limit=18.7+(1.96×5.9)

Upper  limit=18.7+11.564

Upperr limit=18.7+11.6 (Approximately)

Hence:

Confidence interval= 18.7 ± 11.6

Therefore the 95% confidence interval for the population mean is 18.7 ± 11.6.

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Answer:

18.7 ± 11.6

Step-by-step explanation:

The answer above is correct.

The quadratic equation has no real roots. This means the line and point has no point of intersection.

System of equations are equations that is more than one and have two or more unknowns.

Given the simultaneous equation

x^2 + y^2 = 25

2x + y = 25

from equation 2;

y = 25 - 2x ................3

Substitute equation 3 into 1 to have:

x^2 + (25-2x)^2 = 25

x^2 + 625 - 100x + 4x^2 = 25

5x^2 -100x + 600 = 0

x^2 -20x + 120= 0

Hence the quadratic equation has no real roots. This means the line and point has no point of intersection,

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Answer:

C on edge

Step-by-step explanation:

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

Answer:

19/60 or .317

Step-by-step explanation:

C = 95/300

95/300 = 19/60

19/60 = .317

Answer:

look at the attached image

Answer:

5/16 mile

Step-by-step explanation:

5/8 * 1/2 = 5/16 mile

Answer:

6 ways she can choose a course

Answer:

35 x 14 = 490

Step-by-step explanation:

Answer:

the star is 4 and the moon shaped is 7

Step-by-step explanation:

the stars have to be an equal amount and 1 plus moom= the 2 stars that have the same amount

and 3+4 = 7

so if you do 7+1 = 4+4

Answer:

x < 2

Step-by-step explanation:

5(2x + 8) < 60 ( divide both sides by 5 )

2x + 8 < 12 ( subtract 8 from both sides )

2x < 4 ( divide both sides by 2 )

x < 2

Answer:

[tex]\huge\boxed{\bf\:x < 2}[/tex]

Step-by-step explanation:

[tex]5(2x + 8) < 60[/tex]

Multiply 5 by 2x & 8 in the right hand side of the inequality .

[tex]5(2x+8) < 60\\(5*2x) + (5*8) < 60\\10x + 40 < 60\\[/tex]

Bring 40 to the other side of the inequality .

[tex]10x + 40 < 60\\10x < 60 - 40\\10x < 20[/tex]

Bring 10 to the left side of the inequality .

[tex]10x < 20\\x < 20\div10\\\boxed{\bf\:x < 2}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

B. The sample proportion would less closely model the population proportion.

Step-by-step explanation:

if they chose 10% and changed it to 5% theres gonna be less data to go by.

The sample proportion would less closely model the population proportion.

Option A is the correct answer.

Random sampling is a statistical method of selecting a sample from a larger population in a way that every individual in the population has an equal chance of being selected.

In other words, random sampling is a process of selecting a subset of individuals from a population in which every member of the population has an equal chance of being chosen.

This helps to reduce bias and increase the likelihood that the sample represents the population accurately.

Random sampling is commonly used in research studies, opinion polls, and market research to draw conclusions about a population based on a smaller sample.

We have,

When the sample size is smaller, there is a higher chance of the sample being unrepresentative of the population, resulting in a larger sampling error.

Therefore, if the student council decided to sample only 5% of the student body instead of 10%, it is more likely that the sample proportion would be less accurate and less closely model the population proportion.

Thus,

The sample proportion would less closely model the population proportion.

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Answer:

When the plane cuts the cone at an angle between a perpendicular to the axis (which would produce a circle) and an angle parallel to the side of the cone (which would produce a parabola), the curve formed is an ellipse.

Step-by-step explanation:

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Answer:

First you have to convert MG to G, 1 Gram is equal to 1,000 Milligrams.  If Julie has eaten a total of 9 Grams of fiber, she would need to eat 11 Grams more to get her recommended amount of Fiber

Step-by-step explanation:

1. Convert Mg to G

2. Add the amount of Grams she has already eaten.

3. Subtract the sum from twenty and multiply the difference by 1,000.

Answer:

[tex] \sf \: j= \frac{−8}{7}s+ \frac{445}{7} , \sf \: s= \frac{−7}{8}j+ \frac{445}{8} [/tex]

Step-by-step explanation:

[tex] \sf \: Let's solve for j. \\ \sf \: 7j+8s=445 \\ \sf \: Step 1: \: Add \: -8s \: to \: both \: s ides. \\ \sf \: 7j+8s+−8s=445+−8s \\ \sf \: 7j=−8s+445 \\ \sf \: Step \: 2: \: Divide \: both \: sides \: by \:7. \\ \sf \frac{7j}{7}= \frac{−8s+445}{7} \\ \sf \: j= \frac{−8}{7}s+ \frac{445}{7} \\[/tex]

Answer:

045°

Step-by-step explanation:

[tex]135 - 90 = 45[/tex]

Answer:

A, B, D, E

Step-by-step explanation:

Every point is on the circle except for the middle one

The points lying on the circle will be (-4, 12), (-6, 6), and (4, 16). Then the correct options are A, B, and E.

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

The center is at (4, 6) and the radius is 10 units. Then the equation of the circle is calculated as,

(x - 4)² + (y - 6)² = 10²

(x - 4)² + (y - 6)² = 100             .......1

Substitute (-4, 12) in equation 1, then we have

(-4 - 4)² + (12 - 6)² = 100

100 = 100

Substitute (-6, 6) in equation 1, then we have

(-6 - 4)² + (6 - 6)² = 100

100 = 100

Substitute (13, 10) in equation 1, then we have

(13 - 4)² + (10 - 6)² = 100

97 ≠ 100

Substitute (-4, 12) in equation 1, then we have

(4 - 4)² + (16 - 6)² = 100

100 = 100

If the equation is satisfied, then the point lies on the circle.

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Answer: 38 students

Step-by-step explanation:

     To answer this question we will find 95% of 40. Keep in mind that a percent divided by 100 becomes a decimal.

95% / 100 = 0.95

0.95 * 40 = 38

         38 students passed their test.

Answer:

Step-by-step explanation:

We do not know the coordinates of triangle ABC, however, if the coordinates were (hypothetially) A (-2,0) B (-2,2) and C (-1,0) then we would flip triangle ABC over the line x=-3, point A would move 2 points horizontally to the left. Point B would move 2 points horizontally to the left. Point C, would move 4 points horizontally to the left. The Y coordinates would stay the same. Basically, instead of flipping it over the origin, you "move the origin" to whichever point you are told, they would function the same.

Answer:

the answer should be 0.05 degrees every year

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Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

[tex]volume \: of \: the \: cylinder \: = \pi {r}^{2} h[/tex]

[tex] = > \pi \times {5}^{2} \times 12 {cm}^{3} = 300\pi {cm}^{3} [/tex]

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

[tex]slant \: height \: of \: the \: cone \: = \sqrt{ {h}^{2} + \: {r}^{2} } [/tex]

[tex] = > \sqrt{ {5}^{2}+{12}^{2} } cm \: = 13cm[/tex]

Volume of the cone = 1/3 *πr^2h

[tex] = > \frac{1}{3} \pi \times {5}^{2} \times 12 {cm}^{3} = 100\pi {cm}^{3} [/tex]

therefore, the volume of the remaining solid

[tex] = 300\pi {cm}^{3} - 100\pi {cm}^{3} \\ = 200 \times 3.14 {cm}^{3} = 628 {cm}^{3} [/tex]

Curved surface of the cylinder =

[tex]2\pi \: rh \: = 2\pi \times 5 \times 12 {cm}^{2} \\ = 120\pi {cm}^{2} .[/tex]

[tex]curved \: surface \: of \: the \: cone \: = \pi \: rl \\ = \pi \times 5 \times 13 {cm}^{2} \\ = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\ of \: cylinder \: = \\ = \pi \: {r}^{2} = \pi \times {5}^{2} [/tex]

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

[tex] = 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2} [/tex]

Answer: An example is m³

Step-by-step explanation: Volume in a rectangular pool is length multiplied by width multiplied by height. Whatever the unit of these three parameters are, the volume will be raised to a cube. It it is metres, then volume will be m³

Answer:

C

Step-by-step explanation:

Substitute the x-values into the the equation y=3x-1 and they will all give you the same y-values that are given in the table.