A 107-ft-tall building casts a shadow of 90 ft. To the nearest whole degree,
What is the angle of elevation to the sun?

Answer:

2

Step-by-step explanation:

when you order all their GCF's, going backwards, you can see that both of them are divisible by 2. Hope this helps! If you are still confused please comment!

The greatest common factor of numbers 14 and 38 is 2.

To find the greatest common factor (GCF) of 14 and 38, we can determine the largest positive integer that divides both numbers evenly.

To begin, let's find the factors of each number:

Factors of 14: 1, 2, 7, 14

Factors of 38: 1, 2, 19, 38

The common factors between 14 and 38 are 1 and 2.

However, the greatest common factor, so the GCF is 2.

Therefore, the greatest common factor of 14 and 38 is 2.

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-21 is an integer and all integers are rational numbers.

Remember, integers are the set of whole

numbers and their negative counterparts.

Answer:

[tex]x\leq 20[/tex]

Step-by-step explanation:

Given:

Charges of one hour swimming class = $5

Maximum amount that parents are willing to spend for swimming = $100

To find: inequality representing the possible number of hours, a student could take swimming lessons

Solution:

An inequality compares two values such that either one value is less than, greater than, or not equal to another value.

Let x represents number of hours spend by a student in swimming class.

As maximum amount that parents are willing to spend for swimming is $100 and charges of one hour swimming class is $5,

[tex]5x\leq 100\\x\leq \frac{100}{5} =20\\x\leq 20[/tex]

Answer:

90 cubic inches

Step-by-step explanation:

Answer:

6.9824 rounded to the nearest tenth is 6.9. But i am pretty sure the correct answer is 7

Step-by-step explanation:

6.9824 rounded to the nearest tenth is 6.99.

To round 6.9824 to the nearest tenth, we look at the hundredth place, which is 8 in this case. Since 8 is greater than or equal to 5, we round the digit in the tenth place up by 1.

So, rounding 6.9824 to the nearest tenth:

1. Identify the hundredth place: 8

2. Since 8 is greater than or equal to 5, we round the digit in the tenth place up by 1.

3. The digit in the tenth place is 9.

4. The number becomes 6.99.

Complete correct question:

Round 6.9824 to the nearest tenth.

diameter: QU

radius: TV

chord: RS

d) 2 units

Answer:

a) Diameter: UQ

b) Radius: VT

c) Chord: SR

d) 2

Step-by-step explanation:

Answer: w<-9 With the line underneath

Step-by-step explanation:

The tangents of the acute angles in a right triangle can be calculated by taking the ratio of the side opposite the angle to the side adjacent to the angle.

In a right triangle, the tangent of an acute angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Let's say the acute angles of the right triangle are A and B, and the sides opposite to them are denoted as A and b, respectively. Then, the tangents of the angles A and B can be calculated as:

Tan(A) = a/b

Tan(B) = b/a

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The tangents of the acute angles in the right triangle as a fraction can be expressed as;

Using trigonometry; Trigonometry is the area of mathematics that deals with particular angle functions and how to use them in computations. In trigonometry, an angle can have six common functions. The terms sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc) are their names and abbreviations.

[tex]Tangent=\frac{opposite}{adjacent}[/tex]

Considering the triangle

[tex]Tan R=\frac{45}{28}[/tex]

[tex]Tan S=\frac{28}{45}[/tex]

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Answer:B. -7y+8x

Step-by-step explanation:

hope this helps

Answer:

[tex]\frac{13+\sqrt{29}}{10} , \frac{13-\sqrt{29}}{10}[/tex]

Step-by-step explanation:

[tex]5x^2-13x+7=0[/tex]

[tex]x=\dfrac{13\pm \sqrt{169-140}}{10}=\frac{13+\sqrt{29}}{10} , \frac{13-\sqrt{29}}{10}[/tex] . Hope this helps!

Answer:

5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

area = 3.14

Step-by-step explanation:

A = pi * r^2

The radius of this circle is 1.

So pi * 1^2

= pi * 1

in this case it says to use 3.14 as pi

so 3.14 * 1 = 3.14

Answer:

So I'm assuming we need the denominator to be 0. The only number that will satisfy this is -8.

x = -8.

Step-by-step explanation:

The reason is we need the denominator to be 0. The only way is -8 + 8 which is 0.

Answer:

2/5

Step-by-step explanation:

Flip the second fraction, change the divide to multiply, and simplify:

(1/5)/(1/2) = (1/5) x (2/1) = 2/5

2/5 is your answer.

~

Answer:

2/5

Step-by-step explanation:

1/5 divided by 1/2

there is this thing called KFC to find the answer

KFC: keep flip change

u keep the first number which is 1/5

then flip division to multiplication

1/5 times 1/2

then change 1/2 to 2/1

1/5 times 2/1 = 2/5

The correct option is C: The perpendicular bisectors of ∆BCD intersect at the same point as those of ∆BED.

Given is a quadrilateral BCDE is inscribed in circle A in which BD divides the quadrilateral into two triangles, ∆BCD and ∆BED.

[Refer to the figure attached]

If you draw a perpendicular bisector of a circle's chords, they will meet in the middle.

BCD, BC, CD, and BD are therefore circle chords in the triangle. At point O, the perpendicular bisector of BC, CD, and BD will intersect.

The chords of the circle are BED, BE, ED, and BD in the triangle. All of these chords will intersect at point O on a perpendicular bisector drawn from their points of origin.

Hence, the choice C is correct.

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Answer:

The result for this equation is [tex]x = -5[/tex] .

Step-by-step explanation:

-Solve the equation:

[tex]3(4x-10)=2(3x-30)[/tex]

-Use Distributive Property:

[tex]3(4x-10)=2(3x-30)[/tex]

[tex]12x - 30=6x - 60[/tex]

-Subtract 6x and from 12x :

[tex]12x - 30 -6x=6x -6x - 60[/tex]

[tex]6x - 30=-60[/tex]

-Add both sides by 30:

[tex]6x - 30 +30=-60 +30[/tex]

[tex]6x =-30[/tex]

-Then, you divide both sides by 6:

[tex]\frac{6x}{6}=\frac{-30}{6}[/tex]

[tex]x = -5[/tex]

So, therefore the answer is [tex]x = -5[/tex] .

Answer:

He can buy 9 tickets

Answer:

1) 3 beads

2) 12 beads

3) (4x3)+3=15

Step-by-step explanation:

Answer:

I would say 3 blue 12 yellow in my opinion. Have a great day

Step-by-step explanation:

Answer:

142 meters

Step-by-step explanation:

As= 2(lw+lh+wh)

Answer: The surface area is 142m^2

Step-by-step explanation:

-The formula:

[tex]A = 2(wl+hl+hw)[/tex]

-Solve:

[tex]A =[/tex] [tex]2[/tex] [tex](5[/tex] × [tex]7[/tex][tex])[/tex] [tex]+2[/tex] [tex](3[/tex] × [tex]7)[/tex] [tex]+ 2[/tex] [tex](3[/tex] × [tex]5)[/tex]

[tex]A = 10[/tex] × [tex]7 + 6[/tex] × [tex]7 + 6[/tex] × [tex]5[/tex]

[tex]A = 70 + 6[/tex] × [tex]7 +6[/tex] × [tex]5[/tex]

[tex]A = 70 + 42 +6[/tex] × [tex]5[/tex]

[tex]A = 112 + 6[/tex] × [tex]5[/tex]

[tex]A = 112 +30[/tex]

[tex]A = 142[/tex]

Therefore, the surface area of a rectangular prism is [tex]142 m ^2[/tex].

Answer:

[tex]\frac{105}{16} ft^3[/tex]

Step-by-step explanation:

The suitcase is in the shape of a rectangular prism and we need to find the volume.

The volume of a rectangular prism is given as:

V = L * B * H

where L = length

B = breadth

H = height

The dimensions of the suitcase are [tex]1\frac{1}{2} ft[/tex] by [tex]1 \frac{3}{4} ft[/tex] by [tex]2 \frac{1}{2} ft[/tex]

Therefore, the volume of the suitcase is:

[tex]V = 1\frac{1}{2} * 1 \frac{3}{4} * 2 \frac{1}{2} \\\\V = \frac{3}{2} *\frac{7}{4} *\frac{5}{2} \\\\V = \frac{105}{16} ft^3[/tex]

The volume of the suitcase is [tex]\frac{105}{16} ft^3[/tex]

Answer:

Irrational

Step-by-step explanation:

Any number that can be written as a fraction or a ratio is a rational number. The product of any two rational numbers is therefore a rational number, because it too may be expressed as a fraction. For example, 5/7 and 13/120 are both rational numbers, and their product, 65/840, is also a rational number.

An irrational number is a number that is NOT rational. It cannot be expressed as a fraction with integer values in the numerator and denominator. When an irrational number is expressed in decimal form, it goes on forever without repeating.

Answer:

Irrational

Step-by-step explanation:

It cannot be expressed as a fraction

Answer:

Answers B, E and F (1, 5 and 6).

Step-by-step explanation:

In an exponential equation, (y=ab^x), the "b" value must be a decimal less than 1 (but greater than 0) for it to be considered an exponential decay function. Only equations B, E and F have a "b" value that fits this criteria.

Answer:

2.32630514 x 10^15

Step-by-step explanation:

Answer:

441 miles

Step-by-step explanation:

First, find the constant rate of change.

You would do 315/5=63

63 is the constant rate of change

Then, you would multiply.

63x7=441

Answer: 441 miles

441 miles would he drive in 7 hours.

Division is the process of splitting a number or an amount into equal parts.

Here, we get,

Dale drove 315 miles in 5 hours.

First, find the constant rate of change.

You would do 315/5=63

63 is the constant rate of change

Then, you would multiply.

63x7=441

Answer: 441 miles would he drive in 7 hours.

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The correct answer is B) distribution.

A statistical distribution refers to the collection of data points that provide information about how a particular variable is spread or distributed across different values.

In other words, it describes the frequency or likelihood of each possible outcome or observation within a dataset.

Understanding the distribution of data is essential in statistics because it helps us analyze and make predictions about various phenomena. Common types of distributions include the normal distribution, uniform distribution, and exponential distribution, among others.

Statistical distributions are characterized by their center (average or median), shape (how the data is spread out), and spread (how much variation exists within the data).

These three aspects collectively provide valuable insights into the data's overall behavior and are fundamental for statistical analysis and decision-making.

Therefore, when we talk about the collection of data points that answer a statistical question, we are referring to the distribution of the data, which encapsulates important information about its characteristics.

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Answer:

-2x+g(x)=-5

Step-by-step explanation:

subtract 2x and move it to the other side

Vertically Stretched by a factor of 2
Shift down 5 units.