Which angles are complementary to each other?

Step-by-step explanation:

Right away i notice the 45° angle and the 90° angle in triangle RTQ, this means that the remaining angle must be 180-(90+45)=45°.

If it isn't obvious yet, triangle RTQ is a right isosceles triangle where RT=RQ=x.

Now looking at my other triangle RST

I know that RT=x, RS=2√3 and ST is unknown.

So i cannot apply my Pythagorean theorm.

HOWEVER i do notice 60 degree angle and the 90 degree angle, which means that the last angle must be 180-(90+60)=30° and this triangle (RST) must be a half equilateral triangle;,

Now i can use the relation which describes the relation between the hypotenuse(x) and the side opposite or facing the 60° angle (RS=2√3).

RS=x√3/2

2RS=x√3

2×2√3=x√3

4√3=x√3

4√3/√3=x

x=4 :P

Answer:

A yard sale.

Step-by-step explanation:

lol

What is this question really about? Could you perhaps dive a little bit more into detail please? Ty

Answer:

Step-by-step explanation:

???? Could you verify the question please?

Answer:

divide the number of pages by the time

Step-by-step explanation:

=50/40

=5/4

= 1.25/per minute

Step-by-step explanation:

(x - 1)×3

a random number minus 1, and the result is multiplied by 3.

bingo !

Answer:

3(x - 1).

Step-by-step explanation:

Taken away 1 is x - 1

Multiply this by 3 is 3(x - 1).

Answer:

It will be over at 5:17 pm

Step-by-step explanation:

2:45 +32 would be 3:17, we add 2 hours it would be 5:17

Answer:

5:17 pm

Step-by-step explanation:

Since Brianna started watching a movie at 2:45 p.m and the movie is 2 hours and 32 minutes long

Thus,

2:45 + 2 and 32 Minutes

2 + 2 = 4

45 + 32 = 77 minutes

1 Hour = 60 Minutes

Thus, 77 - 60 =17

Hence, 4 + 1 = 5

Thus, the movie will be over at 5:17 Pm

~Lenvy~

Answer:

D. The graph has two vertical asymptotes and one horizontal asymptote.

Step-by-step explanation:

Using the Pythagorean Theorem, it is found that the balloon rises 67.08 feet.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

Researching this problem on the internet, it is found that the situation is modeled by a right triangle, in which the horizontal distance between the balloon and the student is of 60 ft, the vertical distance is of h, while the hypotenuse is of 90 ft, hence:

[tex]60^2 + h^2 = 90^2[/tex]

[tex]h = \sqrt{90^2 - 60^2}[/tex]

[tex]h = 67.08[/tex]

The balloon rises 67.08 feet.

More can be learned about the Pythagorean Theoremat https://brainly.com/question/26396675

Answer:

  no, the vertex of Function A is 6 units lower

Step-by-step explanation:

The vertex of Function A can be found several ways:

__

To put the equation in vertex form, we can consider separately the variabel terms and the constant. Once we have the variable terms separated, we can "complete the square" and then simplify the result to vertex form. The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . for vertical scale factor 'a' and vertex (h, k)

We have ...

  y = 2x² +12x +10

  y = 2(x² +6x) +10

We complete the square by adding the square of half the x-coefficient inside parentheses. We subtract the same quantity outside parentheses, so we don't change the equation any.

  y = 2(x² +6x +9) +10 -2(9)

  y = 2(x +3)² -8 . . . . . . simplify to vertex form

The vertex of Function A is (-3, -8), which is (-2 -(-8)) = 6 units lower than the vertex of Function B in the graph. Bob is incorrect.

__

The axis of symmetry of quadratic expression ax² +bx +c is x=-b/(2a). For the given Function A, the axis of symmetry is ...

  x = -12/(2(2)) = -3

The height of the vertex is the y-value for that x-value:

  y = 2(-3)² +12(-3) +10 = 18 -36 +10 = -8

This is lower than the vertex of the graphed function, which is at y=-2. Bob is incorrect.

__

The graph of Function A is the solid red curve in the attached. The graph of Function B is added as the dashed blue curve for reference. The graph clearly shows the vertex of Function A is lower than that of Function B. Bob is incorrect.

_____

Additional comment

Modern graphing calculators make the graphing option the quickest and easiest way to find the vertex of the function. The only "work" is to type the equation into the calculator.

Answer:

Step-by-step explanation:

Part A

The data is modeling a geometric sequence because they have a common ratio of 2.

Part B:

= 48

Step by Step Answer

f(n)=f(n-1)*r

f(n)=f(5-1)*2

f(n)=f(4)*2

f(n)=(24)2

f(n)= 48

Part C:

= 384

Step by Step Answer

f(n)=f(1)*r^n-1

f(n)=3*2^8-1

f(n)=3*2^7

f(n)=3*128

f(n)=384

Aurora will complete the 10th station in 1024 minutes (or 17 hours and 4 minutes).

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.

aₙ=a₁(r)ⁿ⁻¹

The given data represents a geometric sequence, where the common ratio between any two consecutive terms is 2.

We can find the common ratio by dividing any term by its preceding term.

Common ratio = 4/2 = 8/4 = 16/8 = 2

Let T₁ be the time taken to complete the first station (x = 1). Then the explicit formula for the nth term of the geometric sequence is:

Tₙ = T₁ r⁽ⁿ⁻¹⁾

where r is the common ratio.

We are given the first four terms:

T₁ = 2

T₂ = 4

T₃ = 8

T₄ = 16

We can use the formula to find the time taken to complete the 10th station (x = 10):

T₁₀ = T₁ r⁽¹⁰⁻¹⁾

T₁₀ = 2(2)⁹

T₁₀ = 2 x 512

T₁₀ = 1024

Therefore, T₁₀ = 1024.

To learn more about the geometric sequence;

https://brainly.com/question/11266123

#SPJ7

Answer: Not safe

Step-by-step explanation:

Let the angle of elevation of the ramp be θ, then:

[tex]\begin{aligned}&\sin \theta=\frac{1.5}{10}=0.15 \\&\theta=\sin ^{-1}(0.15) \approx 8.63^{\circ}\end{aligned}[/tex]

But the maximum angle for the ramp cannot exceed 7.1°. The calculated angle of elevation will make it difficult, if not impossible, for motorized wheelchairs to get up the ramp.

Therefore, the ramp at the local library is not safe for motorized wheelchairs

Answer:

I'm guessing it is 3x(9x20)=3x180=540

Step-by-step explanation:

The height of the cone with a volume of 1/18π ft³ is: 1.5 ft.

Volume of a cone = 1/3πr²h, where, h = height of cone, and r = radius of the cone.

Given the following:

Plug in the values into the volume formula:

1/18π = 1/3π(1/3)²h

1/18π = 1/3π(1/9)h

1/18π = (πh)/27

Divide both sides by π

1/18 = h/27

Cross multiply

27 = 18h

27/18 = h

h = 1.5

Therefore, the height of the cone with a volume of 1/18π ft³ is: 1.5 ft.

Learn more about volume of cone on:

https://brainly.com/question/13677400

Answer:

19 11/16

Step-by-step explanation:

5 1/4 x 3 3/4

Area = width x length

Hey there!

Complementary angles add up to 90 degrees.

We are given

An angle of 79 degrees

and we're asked to find the complement of the angle.

So let's set up an equation:

79+x=90

where x=the unknown angle

Subtract 79 from both sides:

79-79+x=90-79

x=11

Hence, the measure of the unknown angle is

[tex]\boxed{\boxed{\bold{11}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningIsFun

[tex]\rule{200}{2}[/tex]

(b) 11°

The sum of two angles is equal to 90 degrees.

Here, one angle is 79°

steps:

Answer:

3b. [tex]\displaystyle 10; Mental\:Mathematics[/tex]

3a. [tex]\displaystyle \frac{5}{8} \times 16[/tex]

Explanation:

Dividing a mixed number\fraction is in similarity to multiplying its multiplicative inverce, which is what you see in the above answer. However, I did not figure it out this way. I did this:

[tex]\displaystyle \boxed{10} = \frac{5}{\frac{1}{2}} \Rightarrow \boxed{10} = \frac{5}{8} \div \frac{1}{16}[/tex]

Either way is fine, as long as you know what you are doing.

I am joyous to assist you at any time.

Answer:

x= 4

y=3

Step-by-step explanation:

its simple

4x+3y=25

x+5y=19

by elimination

-17y=-51

so y = 3

substitute y for 3

then x is 4.

I hope this will help you.

Answer:

8x+6y

Step-by-step explanation:

Combine like terms:

12x-4x=8x

+11y-5y=6y (because 11 is the bigger number and 5 is smaller, the answer is positive [+])

Answer:

8x + 6y

Step-by-step explanation:

1) Rearrange terms and combine like terms:

12x + 11y - 4x - 5y —> 12x - 4x +11y - 5y

2.Simplify (aka add/subtract like terms)

12x - 4x +11y - 5y

- 12x - 4x = 8x

- 11y - 5y = 6y

= 8x + 6y

Hence, 8x + 6y is your answer :)

Step-by-step explanation:

please mark me as brainlest

Answer:

85÷4=21.25 is the anwer

Answer:

-6

Step-by-step explanation:

Hope this helps!!!

Answer:

6.0 ft^2

Step-by-step explanation:

hope this helps

Answer:

56x

Step-by-step explanation:

Think of it an a triangle and a rectangle. The area of the rectangle is obviously 13 x 4x, which is 52x

for triangle, the hypotenuse is C, Right hand side is B and the side that is in the shape is B.

Area of triangle = (bh) / 2

B = 13 - 9, so B = 4

A = 6x - 4x, so A = 2x

the area is 2x x 4, which is 8x.

8x / 2 = 4x

The area is 4x + 52x, so the final answer is 56x

Answer:

4.57894737

Step-by-step explanation:

261 divided by 57 = 4.57894737

or 4.6 to 1 decimal place

If you need further explanation, let me know!

-profparis

Answer: 4.57894736842

Answer:

C.

Step-by-step explanation:

red: 3/8 sheet per toy

20 × 3/8 = 60/8 = 56/8 + 4/8 = 7 1/2

yellow: 5/8 sheet per toy

20 × 5/8 = 100/8 = 50/4 = 25/2 = 12 1/2

Since he needs 7 1/2 and 12 1/2, he needs to get 8 and 13 becasue 7 and 12 are not enough.

Answer: C.

Answer:Its -3.5

Step-by-step explanation:

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, flop it over, and change its sign.

Here we have the number:-

[tex]\boxed{\frac{7}{3}}[/tex]

Flop it over:-

[tex]\boxed{\frac{3}{7} }\longleftarrow\sf{the~numerator~and~denominator~switch~places}[/tex]

Change its sign:-

[tex]\boxed{-\frac{3}{7}}[/tex]

Hence, the slope of line e is:-

[tex]\bigstar{\boxed{\pmb{Slope=-\frac{3}{7}}}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)