Andre and Mai are discussing how to solve for side AB. Andre thinks he can
use the equation tan(12 degrees)=x/6 to solve for AB. Mai thinks she can use
the equation tan(78 degrees)=6/x to solve for AB. Do you agree with either of
them? Show or explain your reasoning.

Answers

Answer 1

Answer:

Both Andre and Mai are correct

Step-by-step explanation:

A drawing of the the triangle ΔABC is created with MS Visio and attached here

In the drawing, we have;

Segment AB = x

Segment AC = 6

By trigonometric ratio, in a right triangle we have;

[tex]Tan(\angle X) = \dfrac{The \ length \ of \ the \ opposite \, side \ to \ \angle X }{The \ length \ of \ the \ adjacent\, side \ to \ \angle X}[/tex]

Where 'X' = 12° as shown in the figure, we have;

[tex]tan(12 ^{\circ}) = \dfrac{AB}{BC} = \dfrac{x}{6}[/tex]

Therefore, Andre is correct

Similarly, we have;

[tex]tan(78 ^{\circ}) = \dfrac{BC}{AB} = \dfrac{6}{x}[/tex]

Therefore, Mai is also correct

Therefore, Andre and Mai are correct.

Andre And Mai Are Discussing How To Solve For Side AB. Andre Thinks He Canuse The Equation Tan(12 Degrees)=x/6

Related Questions

Which equation describes the circle
with center (5,-1) and radius 7?
A (x - 5)' + (y +1)* = 7
B (x - 5)* + (y + 1)* = 49
(x + 5) * + (y - 1) = 7
D(x + 5)' + (y - 1)' = 49

Answers

Answer:

B. (x-5)²+(y+1)² = 49

Step-by-step explanation:

An equation of a circle with center (h, k) and radius r is

[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]

We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7

Substitute these values in

[tex] \large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }[/tex]

So the answer is B choice.

whitch is greater 2 yards or 5 feet

Answers

Answer:

Two yards

Step-by-step explanation:

2 yards = 6 feet

*SOCIAL DISTANCE RULES APPLY IN YOUR STATE*

Answer:

2 yards

Step-by-step explanation:

Yes 1 yard equals 3 feet so 2 yards is 6 feet making 2 yards greater than 5 feet

:)Can someone answer this

Answers

Answer:

6.50 + 5.75n

Step-by-step explanation:

6.50 for the first hour only being charged once and the 5.75 being for the number of hours (n) she works after the first hour

Answer:

B

Step-by-step explanation:

n is how many additional hours after the first hour she babysits. She charges $5.75 for each additional hour. So, that would be:

5.75n

But for the first hour, she charges 6.50. So that would be:

6.50+5.75n

Calculate the population
data set;
mean for the following
40, 50, 55, 78,58,60,73, 35, 43, 48.

Answers

Answer:

I think it’s 11.8

Step-by-step explanation:

An angle measures 58° less than the measure of a complementary angle. What is the measure of each angle?

Answers

Answer: 74 degrees and 16 degrees

Step-by-step explanation:

A pair of complementary angles add up to 90 degrees.

If we know that one of the two angles is 58 degrees less than the other, we can solve the algebraic equation: x + (x-58) = 90, where (x) is the measure of the one angle, and (x-58) is the measure of the other angle.

x + x-58 = 90 is the same as 2x -58 = 90.

Adding 58 to both sides gives 2x = 148,

and dividing both sides by two gives x = 74.

We now know that one angle is 74 degrees, and the other angle is (74-58) degrees. This gives two angles of 74 and 16 degrees. They both add up to 90 degrees, so they are complementary angles.

5 athletes are in a 100k race. How many different ways can they finish based on their order.

Answers

Answer:

It's 120 different ways I think

Step-by-step explanation:

please help! will give brainliest if right

Answers

Answer:

first option

Step-by-step explanation:

y = 1/4x - 5/4

this line has a slope of 1/4 and a y-intercept of -5/4

Misty wants to save money to purchase a new bicycle that cost $279 she opens a savings account and deposit $7 per week based on this information which of the following is a reasonable conclusion I need a sentence not a single number answer​

Answers

Answer:

please provide the choices of this question

PLS ASAP HELP I WILL GIVE BRAINLIEST
What are the
focus and directrix
of the graph of
y=1/16x^2?

Answers

Answer:

Look Below

Step-by-step explanation:

y=1/16x^2

multiplying both sides by 16 we get:

16y=x^2

The general form of a parabola is:

(x-h)^2=4p(y-k)

thus

4p=16

p=4

The parabola opens upwrd:

Focus: (h,k-p)

(0,0-4)

=(0,-4)

Directrix: y=-4

Sabrina is building a bookend from two identical wooden rectangular prisms as shown in the figure. what is the volume of wood used in sabrina bookends

A.320 cubic centimeters
B.640 cubic centimeters
C.656 cubic centimeters
D.672 cubic centimeters

Answers

Answer:

A. 320 cubic centimeters

Step-by-step explanation:

First, you want to multiply 4 by 4 to get 16. Then what you want to be is multiply 16 by 20 and you will get 320 cubic centimeters.

Jesse and her family are painting their house. When they first started, they bought four 16-cup cans of paint. In order to paint their house, it took all of those cans plus they needed another 16-cup can of paint. How many cups of paint did it take Jesse and her family to paint their house?

Answers

Answer:

80

Step-by-step explanation:

yes

What is the surface area of the pyramid?

Answers

Answer:

56 inches squared

Step-by-step explanation:

(4x6) ÷ 2 = 12

12 x 4 = 48

4 x 4 = 16

48 + 16 = 56



Gordon, June and Sushil share some sweets in the ratio 4:5:1. Gordon gets 36 more
sweets than Sushil. How many sweets does June get ?

Answers

Step-by-step explanation:

Shusil got 8.4 sweets.

Step-by-step explanation:

Gordon share=3/3+5+2×42

3/10×42=12.6

June share=5/3+5+2×42

5/10×42=21

Shusil share=2/3+5+2×42

2/10×42=8.4

Refer to the isosceles trapezoid shown. Find x

Answers

Answer:

Hey, read below!! :)

Step-by-step explanation:

Both sides are the same length. X = 70

Maria is serving shrimp cocktail at a party. She estimates that she will need 5 shrimp for each guest. A 12-ounce bag of shrimp contains approximately 26 shrimp. How many bags of shrimp should she buy to serve 50 guests?

pls help

Answers

1 bag = 5 guest
10x5= 50
10 bags would be needed.

A mattress store is having a sale all mattresses are 30% of. Nate wants to know the sale price of a mattress that is regularly $1,000

Answers

Answer: $700

Step-by-step explanation:

The store is selling at 30% off.

If a mattress is $1,000, first find out what 30% of $1,000 is:

= 1,000 * 30%

= $300

The store is selling 30% off, this means that they are reducing the price by 30%:

= 1,000 - 300

= $700

Each bag of trail mix weighs 3/8 pound. The combined weight of a set of bags is 3 3/4 pounds How many bags are there?

Answers

Answer:

10

Step-by-step explanation:

3/ 8 is 0.375 while 15/4 is 3.75

so I divide 3.75 by 0.375 which is now 10 the answer is 10 bags

Answer:

22

Step-by-step explanation:

(33/4)÷(3/8)

=8.25/.375

=22

Please find the missing side and show your work

Answers

Answer:

13.3041346957 Ft. ( Or 13.30 Ft. )

Step-by-step explanation:

Formula: A^2 + B^2 = C^2

Substitution: 9^2 + 6^2 = 117

√177 = 13.3041346957

13.3041346957 ( Rounded ( Hundredths Place ) = 13.30 Ft .

grandfath
3. My sister is 12 years older than lam Our combined age is half the age of our
grandfather. Our grandfather is 68 years old. How old am​

Answers

Answer:

11

Step-by-step explanation:

First, write an equation to represent the situation.

34 = 2a + 12

This equation works because your combined age is half of 68, so 34. If your age is a, then yours sister's age is a + 12. if you add your age to your sister's, you get 2a + 12.

Now just solve for a.

34 = 2a + 12

First, subtract 12 from both sides.

22 = 2a

Then divide both sides by 2.

11 = a

So you are 11 years old. If you need to check your work, your age (11) plus your sister's age (11 + 12, which is 23) is 34, which is half of your grandfather's age.

Sebastian bought 4 basketballs for $37.60 what is the rate price for per basketball?

Answers

each basketball should cost $9.40

Answer:

9.40$

Step-by-step explanation:

Lori had $126.89 in her bank account. She deposited $21.49 into it and then wrote a check for her car repairs for $156.61.
What was the ending balance in her account?
O -$51.21
O $8.23
O $8.23
O $51.21

What is the answer?

Answers

Answer:

-8.23

Step-by-step explanation:

If Lori had $126.89 in her bank account and she deposited $21.49, she would be adding that to the amount of money in her bank account.

126.89+21.59= 148.48

Then subtract the amount of money the repairs costed.

148.48 - 156.61 = -8.23

Therefore Lori would have a balance of -$8.23.

Answer:

Lori had $126.89 in her bank account.

She deposited $21.49 into it and then wrote a check for her car repairs for $156.61  

126.89+ 21.49=148.38

148.38-156.61=−8.23

the answer is -8.23

An Olympic-size swimming pool is approximately 50 meters long by 25 meters wide. What distance will a swimmer travel if they swim from one corner to the
opposite?
type your answer...
meters

Answers

Answer:

56m

Step-by-step explanation:

Diagram:-

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier (0,0)(0,0)(5,0)\qbezier (0,0)(0,0)(0,3)\qbezier (0,3)(0,3)(5,3)\qbezier (5,3)(5,3)(5,0)\qbezier (0,3)(5,0)(5,0)\qbezier (0,0)(0,0)(5,3)\put (-0.4,-0.2){\sf D}\put (-0.2,3.1){\sf A}\put (5.2,3.1){\sf B}\put (5.2,-0.2){\sf C}\put (2.4,1){\sf O}\put (2,-0.4){\bf 50\:m}\put (-1,1.5){\sf 25\:m}\end {picture}[/tex]

Length=50m

Breadth=25m

Diagonal be x

It will form right angle triangle Like below

[tex]\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf 25m}\put(2.8,.3){\large\bf 50m}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf $\Theta$}\end{picture}[/tex]

So

➝x^2=50^2+25^2

➝x=√(50)^2+(25)^2

➝x=√2500+625

➝x=√3125

➝x=55.9m

➝x=56m(approx)

Please help me it would mean the world. Extra points!
The answer is 15in^2 provided by my teacher I just need the work.

Answers

A = ((B+b)*h)/2
A = ((6+4)*3)/2
A = 15

Colette and Tycen made a quarts of lemonade to sell by the cup. Tycen's mother made 5 more cups of lemonade for them to sell. The
equation below can be used to find the number of cups of lemonade, c, they can sell when they make a quarts of lemonade.
C = 40 + 5
What is the greatest number of cups of lemonade Colette and Tycen can sell when q = 3?

Answers

Answer:

12 cups

Step-by-step explanation:

1 quart is 4 cups, so 4 x 3= 12 and 1 x 3 = 3.. Good Luck!

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

(-2.5, 1) and (0.5, 5)

Step-by-step explanation:

The main idea is to divide the line into four segments.

so you find the midpoint between (-4, -1) and (2, 7), which is (-1, 3).

then you find the midpoint again between (-4, -1)  (-1, 3) and (2, 7) (-1, 3), which is (-2.5, 1) and (0.5, 5).

Can anyone answer questions 1-9?! I would be so happy!!! I need this before tomorrow at 2:00 (I live in FL)!!! ANYONE?! PLEASE HELP (you can message me too!)

Answers

Answer:

Not sure if your teacher would accept the answer for #3 and #6 because of how I rounded up the answer to the semicircles.

During a sale, an automobile dealer sold 69 cars and trucks. If she sold 27 more cars than trucks, how many did she sell?

Answers

She would have sold 96 cars in total.

The probability of getting a sum of 7 or 11 by rolling two dice is 2/9 True or false please answer my question​

Answers

Answer:

IT IS FALSE

Step-by-step explanation:

Which rays form the sides of

Answers

Answer:

(E KL),(F,LK)

Step-by-step explanation:

I don't know how to explain it sorry but the answer is right

The two rays are  LM→ & LK→  form the angle ∠KLM

                         

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

So, here, the rays LM-> & LK-> form the angle ∠KLM.

Hence, The two rays are C. LM→ & F. LK→  form the angle ∠KLM.

To learn more on angle click:

https://brainly.com/question/28451077

#SPJ2

provide a correct answer to this problem quickly please.

Answers

The second option I think
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