1) Find the measure of 0. (imagine that is an x) 2) Then, find the measure of AB. (the length from A to B) ​

1) Find The Measure Of 0. (imagine That Is An X) 2) Then, Find The Measure Of AB. (the Length From A

Answers

Answer 1

Answer:

θ ≈ 50°, AB ≈ 15.6

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{11.9}{10}[/tex] = 1.19 , then

θ = [tex]tan^{-1}[/tex] (1.19 ) ≈ 50° ( to the nearest degree

-----------------------------------------------------------------

Using the cosine ratio in the right triangle

cos50° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{10}{AB}[/tex] ( multiply both sides by AB )

AB × cos50° = 10 ( divide both sides by cos50° )

AB = [tex]\frac{10}{cos50}[/tex] ≈ 15.6 ( to 1 dec. place )


Related Questions

If x+y=15 and x-y=25, then what is the value of 2x^2 - y^2?

Answers

Answer:

775

Step-by-step explanation:

We are given two equations in which we can perform systems of equations by putting these two equations on top of each other then solving for one variable:

x+y=15

x-y=25

Here, we can cancel out the y variable and get:

2x=40

x=20

Then we can put the x variable into any of the equations to solve for y (in this case I will use the equation x+y=15 so 20+y=15

y=-5

Now, we can solve by plugging both variables into 2x^2 - y^2 :

2(20)^2 - (-5)^2

800-25 = 775

I hope this helps!

Answer:

775

Step-by-step explanation:

Hi there!

We are given the following system of equations:

x+y=15

x-y=25

and we need to find the value of 2x²-y²

First, let's find the value of x and y

Let's add the 2 equations together to clear y and solve for x (y-y=0)

2x=40

divide both sides by 2

x=20

Now substitute 20 as x into either one of the equations to solve for y

To do x-y=25 for instance,

20-y=25

subtract 20 from both sides

-y=5

multiply both sides by -1

y=-5

Now we know that x=20 and y=-5

Substitute those values into the expression (remember: y² is equal to y×y, or (y)²)

2(20)²-(-5)²

Raise to the second power

2(400)-(25)

multiply and open parenthesis

800-25

subtract

775

Hope this helps!

In a survey of 24 pupils 1/3 liked football best 1/4 liked basketball,3/8 liked athletics and the rest liked swimming.How many liked swimming?

Answers

Answer:

[tex]24 \times \frac{1}{3} = \frac{24}{3} = 8[/tex]

8 pupils like football

[tex]24 \times \frac{1}{4} = \frac{24}{4} = 6[/tex]

6 pupils like basketball

[tex]24 \times \frac{3}{8} = \frac{72}{8} = 9[/tex]

9 pupils like athletics

and how many liked swimming?

8 + 9 + 6 = 23 pupils

24-23 = 1 pupils liked swimming

GOOD LUCK ツ

someone help me please with this algebra homework

Answers

Answer:

the answer with the salad and dressing that has 100 calories per oz.

Step-by-step explanation:

4a {3а2а +4)- 34 2а- 5) a[3а" (а)
How do I simplify this

Answers

Answer:

Simplify the expression.

36a to the power of 7 then - 156a to the power of 4 then -15a to the power of3

Giải phương trình:
Sin^4 x - cos^4 x =1/2

Answers

Step-by-step explanation:

...........MaRk As BrAiNeSt

Hello,

[tex]cos^4(x)=(cos^2(x))^2=(1-sin^2(x))^2=1+sin^4(x)-2*sin^2(x)\\\\sin^4(x)-(1+sin^4(x)-2sin^2(x))=\dfrac{1}{2} \\\\1-2sin^2(x)=\dfrac{1}{2} \\\\\\sin^2(x)=\dfrac{1}{4} \\\\sin(x)=\dfrac{1}{2} \ or\ sin(x)=-\dfrac{1}{2} \\\\\\modulo\ 2\pi: \\\\x=\dfrac{\pi}{6}\ or\ x=\dfrac{5*\pi}{6}\ or\ x=-\dfrac{\pi}{6}\ or\ x=-\dfrac{5*\pi}{6}[/tex]

need help- What is the measurement of arc XZ?

Answers

Answer:

D

Step-by-step explanation:

The inscribed angle XYZ is half the measure of its intercepted arc XZ , then

arc XZ = 2 × 72° = 144° → D

Question is in the image

Answers

Substitute for the values (1, 0) (3, 0) and (-1, 16)
Only one option works for the x intercepts so it should be easy to pick the correct answer.
You don’t have to use (-1, 16) but it also works.

39/50 as a percentage?

Answers

Answer:

78%

Step-by-step explanation:

39/50×100%

= 39×2%

= 78%

Answered by GAUTHMATH

Answer:

78%

Step-by-step explanation:

Divide 39 by 50 and then multiply by 100 and you get the percentage and that goes for all fractions if you wanna change them into percent form. If you want it to be decimal just don't multiply the 100 at the end.

Find a unit vector u u in R 2 R2 such that u u is perpendicular to v . v. How many such vectors are there

Answers

Answer: hello some part of your question is missing

Let v=〈−2,5〉 in R^2,and let y=〈0,3,−2〉 in R^3.

Find a unit vector u in R^2 such that u is perpendicular to v. How many such vectors are there?

answer:

One(1) unit vector ( < 5/√29,  2 /√29 >  ) perpendicular to 〈−2,5〉

Step-by-step explanation:

let  

u = < x , y > ∈/R^2  be perpendicular to  v = < -2, 5 > ------ ( 1 )

hence :

-2x + 5y = 0

-2x = -5y

x = 5/2 y

back to equation 1

u = < 5/2y, y >

∴ || u || = y/2 √29

u   = < 5 /2 y * 2 / y√29 ,  y*2 / y√29 >

    = < 5/√29,  2 /√29 >  ( unit vector perpendicular to < -2, 5 > )

What is the quotient of

Answers

Answer:

x^5+8x^4+17x^3-14x^2-84x-72

Step-by-step explanation:

Team members Corinne, Kevin, and Tomas decide to share the cost
of 2 motor controllers and 4 wheels equally. How much does each
member need to contribute?
Please help(write step by step and upload pic or do it here please I appreciate it so much !

Answers

Answer:

each member needs to put in 91.70 dollars in.

Step-by-step explanation:

you add the costs of all the tools needed. in this case the two controllers and wheels which adds up to 275.1.

then you divide by the amount of people which is three. so 275.1/3 and you get 91.7

How do I find the m and b from number 1 and what would the area be for 2

Answers

Hopefully that’s right, sorry if it’s not

Answer:

Step-by-step explanation:

compare with y=mx+b

m=-1

b=4

(b)

area of triangle=1/2×4×4=8 square units.

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

Answer:

Slope = 2/3

Step-by-step explanation:

See the image attached below.

The red line represents the "run".

The blue line represents the "rise".

Slope = rise/run

Rise = 4 units

Run = 6 units

Slope = 4/6

Simplify

Slope = 2/3

The graph of F(X) shown below resembles the graph of G(x)-, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?
F(x) = 2
G(X) = 1x1
5
-5

Answers

It’s -5 years yessir

The function F(x) would be F(x) = 0.2x² - 3.

What is Function?

A mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependant variable (the dependent variable).

We are given a graph of the function G(x) as:

G(x) = x²

We are required to determine a potential representation of the function F (x).

We are aware that the function F(x) graph is a horizontal extension of the function G(x).

This indicates that "k" is the factor that is multiplied by G(x).

where 0< k <1.

The graph is also 3 units vertically down, which causes the graph.

So, the graph is shifted 3 units vertically down hence the graph of the resulting function F(x) is:

F(x) = 0.2x² - 3

Learn more about Function here:

https://brainly.com/question/11613867

#SPJ7

Please help asap!!! I'm in hurry please help ​

Answers

Step-by-step explanation:

so, what are we supposed to do with that ?

you forgot to tell us that.

adding them ?

transforming then into expressions of x and y ?

... ?

its not 12 fyi oh btw question is in the picture btw this is middle school not high school

Answers

Answer:

6in^2

Step-by-step explanation:

formula of a triangle: l x h : 2

4 x 3 = 12

12 : 2 = 6^2

which describes the graph of y=-(x+5)^2+3

Answers

Answer:

Maximum at (-5, 3)

Step-by-step explanation:

The quadratic equation is in vertex form, which specifically shows the vertex.

Since the a is negative, you get a maximum y value of 3.

Vertex form: y=a(x-h)^2+k

Maximum at (-5, 3)
Y’ = -2(x+5)
=> maximum when y’ = 0

Help me find answer please very much lost and its a test:(((will give brainiest or w.e it is

Answers

Answer:

x = 8

Step-by-step explanation:

Recall: according to the exterior angle theorem of a triangle, the sum of two interior angles equals the measure of the exterior angle it is opposite to.

m<MNO = (5x + 2)° => exterior angle of ∆LMN

m<NLM = (x + 10)° => interior angle of ∆LMN

m<LMN = (x + 16)° => interior angle of ∆LMN

Therefore:

m<MNO = m<NLM + m<LMN (exterior angle theorem of triangle)

Substitute

5x + 2 = x + 10 + x + 16

Add like terms

5x + 2 = 2x + 26

Collect like terms

5x - 2x = -2 + 26

3x = 24

Divide not sides by 3

x = 24/3

x = 8

If the angle of a triangle are in the ratio 1:2:3, determine the 3 angles

Answers

Answer:

The angles are : 30° , 60° , 90°

Step-by-step explanation:

Sum of angles in a triangle = 180°

Given: the angles are in the ratio = 1 : 2 : 3

          Sum of the ratio = 6

Therefore , the angles are

                                   [tex]first \ angle = \frac{1}{6} \times 180^\circ = 1 \times 30 = 30^\circ\\\\second \ angle = \frac{2}{6} \times 180^\circ = 2 \times 30 = 60^\circ\\\\third \ angle = \frac{3}{6} \times 180^\circ = 3 \times 30 = 90^\circ[/tex]

[tex]\displaystyle\bf \angle1:\angle2:\angle3=x:2x:3x\\\\x+2x+3x=180\\6x=180\\x=30 \\\angle3=3x=30\cdot3=90 \\\\Answer: \angle3=90^o[/tex]

Find the unknown side length, x. Write your answer in simplest radical form.

A.
15

Answers

Answer:

HEY MATE I HAVE THE SAME QUESTION IN MY SCHOOL AND I HAVE SOLVED IT SO PLZ MARK ME BRAINLIEST.

Step-by-step explanation:

In a right triangle its sides can go with a^2+b^2= c^2

Then a^2+ 8^2= 17^2. a=15 (missing side)

Now 5^2+ 15^2= x^2

250=x^2 ------> 5 square root of 10=x answer b

Water is filling a swimming pool at a constant rate. After 4 hours, 2 inches of water have filled the pool. Write an equation that gives the amount of water, w, after t hours.

Answers

Answer:

Step-by-step explanation:

Inches per hour is the rate we are looking for here, which will then be the slope of the linear equation. Slope is the same thing as the rate of change. While this may not seem all that important right now, it's actually a HUGE concept in higher math, especially calculus!

If the pool is filling at a rate of 2 inches per every 4 hours, then by dividing, we get that the rate is 1 inch every 2 hours, which translates to a slope of 1/2. Creating an equation with this slope:

[tex]w=\frac{1}{2}t[/tex]  Let's check it. We are told that after 4 hours there are 2 inches of water in the pool. That means if we plug in 4 for t and solve for w, we should get w = 2:

[tex]w=\frac{1}{2}(4)[/tex] and

w = 2. So we're good!

Someone please help me with this math problem?

Answers

Answer:

(C) 0.3(10 + 4h) = 0.25(6h)

Step-by-step explanation:

Here's what we know about Fernando's fees:

$10 is the initial fee

$4 is the hourly fee (h)

Saves 30% (also written as 0.3) of the total cost (includes initial and hourly fee)

Here's what we know about Brenna's fees:

No initial fee

$6 is the hourly fee (h)

Saves 25% (also written as 0.25) of the total cost (just the hourly fee because she doesn't have an initial fee)

We want to find which hour Fernando and Brenna will have saved the same amount of money.

To do this, let's first set up an equation for Fernando and Brenna separately:

Fernando's equation:

0.3(10 + 4h) = how much money he saves from the total cost

Brenna's equation:

0.25(6h) = how much money she saves from the total cost

Now we set them equal to each other:

0.3(10 + 4h) = 0.25(6h)

There's your answer!

Hope it helps (●'◡'●)

A couple plans to have 3 children, what is the probability that atleast two will be boys?

Answers

1/4 or 25 percent because there is a 1/2 chance to get a boy or girl so the probability that will be boys us 1/2 x 1/2= 1/4

the volume of a swimming pool is 4x^3 - 20x^2 + 3x - 15 . what is one of the dimensions of the pool

Answers

Answer:

[tex]Height = x - 5[/tex] --- one of the dimension

Step-by-step explanation:

Given

[tex]Volume = 4x^3 - 20x^2 + 3x - 15[/tex]

Required

The side dimension

Factorize the given expression

[tex]Volume = 4x^2 (x- 5) + 3(x - 5)[/tex]

Factor out x - 5

[tex]Volume = (4x^2 + 3)(x - 5)[/tex]

Volume is the product of base area and height'

Hence:

[tex]Area = 4x^2 + 3[/tex]

[tex]Height = x - 5[/tex]

Which of these numbers had exactly tow factors?

Select your answer. 7 8 9 10
A B C D



Answers

Answer:

prime numbers only have two factors...

7 is the only prime in the list

Step-by-step explanation:

Need help on this!!!

Answers

Answer:

Step-by-step explanation:

Range goes from the lowest point on a graph to the highest point, not including anything in between those 2 extremes. We will evaluate the quadratic for the values given. First f(2):

[tex]f(2)=(2)^2-5[/tex] so

f(2) = -1

Now, f(4):

[tex]f(4)=(4)^2-5[/tex] so

f(4) = 11

Now, f(7):

[tex]f(7)=(7)^2-5[/tex] so

f(7) = 44

The lowest y value is -1 and the highest is 44, so the range is from -1 to 44 (I can't tell which of your choices reflects that because it's too small!)

If 2.2 pounds = 1 kilogram and Mary weighs 120 pounds, how much does she weigh in
kilograms?

Answers

Answer:

54.4311

Step-by-step explanation:

divide the mass value by 2.205 (unit of conversion) :)

[tex]\frac{\frac{1}{a+1} }{a-\frac{1}{{a+\frac{1}{a}}{} } }[/tex] someone help please

Answers

Hello,

[tex]a\neq 0\\\\\dfrac{\dfrac{1}{a+1} }{a-\dfrac{1}{a+\dfrac{1}{a} }} \\\\\\=\dfrac{\dfrac{1}{a+1}}{\dfrac{a(a^2+1)+a} {a^2+1} }\\\\\\=\dfrac{a^2+1}{a(a+1)(a+2)}[/tex]

what is the correct length and width for the rectangle?

Answers

Answer:

Length = 14

Width = 7

Step-by-step explanation:

Length of a rectangle is twice its width.

let, the width be x, so the length becomes 2x

now the perimeter is 42, and we know the formula to find the perimeter is 2(length+width)

so, 2(2x+x)=42

or, 2×3x=42

or, 6x=42

or, x=7

so the width is 7 and the length is, 2×7 = 14

Answered by GAUTHMATH

8.
Out of total population of 50,000, only 28,000 read Newspaper and 23,000 read
magazines while 4,000 read both. How many of them do not read any paper ?​

Answers

the answer is in the picture

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