On a piece of paper, use a protractor and a ruler to construct △ABC with AB=4 in., AC=4 in., and m∠A=60°.

Which statement is true about this triangle?


BC=3 in.

BC=4 in.

BC=5 in.

The length of BC¯¯¯¯¯ cannot be measured.

Answers

Answer 1

Answer:

BC 4 in

Step-by-step explanation:

The steps for construction;

Using a ruler draw line AB 4 inches  and label the end points A and BAt point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inchesMark that point C.Using the ruler, join point C and B and measure BC.

From calculation, length BC can be found by the formula;

[tex]BC=\sqrt{a^2+b^2-2*a*b*cosA}[/tex]------where a=b=4 in , cos A = cos 60°

[tex]BC=\sqrt{4^2+4^2-2*4*4*cos60}[/tex]

BC = 4 in

Answer 2

Answer:

bc = 4

Step-by-step explanation:


Related Questions

What is the answer to: 5/2 - 4/3

Answers

Answer:

7/6

Step-by-step explanation:

5/2-4/3

=(5*3-4*2)/2*3

=(15-8)/6

=7/6

2x100x3x0 solve lol :)

Answers

Answer:

the answer is 0

Step-by-step explanation:

2x100x3x0 equals and levels out to 0 :)

Answer:

0

Step-by-step explanation:

100 x 2 = 200

200 x 3 = 600

600 x 0 = 0

Kyle’s school needs to buy posters for a fundraiser. The school has a budget of $147. Each poster costs $13. About how many posters can his school buy? Solve this problem any way you choose

Answers

Answer:

Eleven. or 11.

Step-by-step explanation: 147 divided by 13 is 11 with a remainder of 4. He would have 4 dollars left over. If he bought 11 posters.

How many 8-song play lists contain no songs by One Direction? Suppose Janine decides to let her iPod select an 8-song play list at random.

Answers

Answer:

Step-by-step explanation:

Natalie found a tennis ball outside a tennis court. She picked up the ball and threw it over the 12-foot fence into the court. The height of the ball, h, and time t seconds is given by the equations h(t) = -16t^2 + 18t +5. Will she make it iver the fence?

Answers

Answer:

Natalie cannot make it over the fence.

Step-by-step explanation:

After reading the statement, we must demostrate if the following inequation is possible, that is:

[tex]-16\cdot t^{2}+18\cdot t+5 \ge 12[/tex]

After some algebraic handling we find this equivalent expression:

[tex]16\cdot t^{2}-18\cdot t +7\le 0[/tex] (1)

The polynomial is factorized by the Quadratic Formula:

[tex]\left(t-0.563-i\,0.348)\cdot (t-0.563+i\,0.348)\le 0[/tex]

Since all roots are complex, we conclude that Natalie cannot make it over the fence.

At a store, socks are sold with a different number of socks in each package. Which package has the lowest price per pair of socks?

A.
4 pairs for $4.99

B.
6 pairs for $7.99

C.
8 pairs for $10.99

D.
12 pairs for $15.99

Answers

B hope this helps divide each of the answers choices by the total by number of pairs

Answer:

I'm sure the correct answer is A. 4 pairs for $4.99.

Step-by-step explanation:

Please tell me if I'm wrong. And also the answer is not B for other's that may think it is. I hope you find this helpful, have a great day.

Percy's Pizzeria made 4 pizzas with pepperoni and 59 pizzas without pepperoni. What is the ratio of the number of pizzas with pepperoni to the number of pizzas without pepperoni? I had got 15/59 i wanna know if it is correct.

Answers

Answer:

4 : 59

Step-by-step explanation:

Close. But good try

So what is "ratio?"

Well seems like you got 15/59 i think you meant 15:59 right? ratio has a : in it.

But, you see there is only 4 pizzas with pepperoni in it so actually it should be

4 : 59

Good attempt anyways Trying is always better than nothing.

How many 1 fourths are in 3 fourths?

Answers

Answer:

12

Step-by-step explanation:

This question means 3/(1/4). The rule for division of fractions is invert the denominator and multiply. 3/(1/4) = 3 * 4 = 12. Another way to think of it is to imagine you have 3 pies each divided into quarters.

A group of 12 students is deciding whether to go to the science center of the zoo. Science center tickets are 3 for $36.75 and zoo tickets are 4 for $51.
How much will a group of 12 students save by choosing the science center?

Answers

Answer:

147

Step-by-step explanation:

If they go to the science center it will cost 3 people 36.75 cents so for 12 people it would be 36.75*4=147( I think let me know if I am wrong).

If f(x) = 4x and g(x) = x^3, then what is f(g(x))?
a. 4x+x^3
b. 4x^4
c. 4x^3
d. (4x)^3

Answers

Answer:

f(g(x)) = 4x³

Hence, option C is true.

Step-by-step explanation:

Given

[tex]f(x) = 4x[/tex][tex]g\left(x\right)\:=\:x^3[/tex]

Determine:

f(g(x)) = ?

solving the f(g(x))

f(g(x)) = f(x³)

         = 4x³

Therefore,

f(g(x)) = 4x³

Hence, option C is true.

how do you simple this​

Answers

Answer:

Turn the first fraction into a mixed number then simply

Step-by-step explanation:

Turn into a mixed fraction my mutplyung the 3 and then adding the one and then go from there I’m pretty sure

Given the points P(2, –6) and R(8, 3), what is the component form of Vector P R?

⟨6, -3⟩
⟨10, -3⟩
⟨6, 9⟩
⟨10, 9⟩

Answers

Answer:

C

Step-by-step explanation:

The component form of vector PR is ⟨6, 9⟩.

How to determine the component form of vector PR

To find the component form of vector PR, we need to subtract the coordinates of point P from the coordinates of point R.

The x-component of the vector is obtained by subtracting the x-coordinate of point P from the x-coordinate of point R:

x-component = 8 - 2 = 6

The y-component of the vector is obtained by subtracting the y-coordinate of point P from the y-coordinate of point R:

y-component = 3 - (-6) = 3 + 6 = 9

Therefore, the component form of vector PR is ⟨6, 9⟩.

Learn more about vector at https://brainly.com/question/25705666

#SPJ2

Pleas help me on this

Answers

Answer:

3x

Step-by-step explanation:

x+x+x

=3x

if i am wrong than sorry

I think 3x I’m not completely sure tho!

What is an equation of the line that passes through the points (0, -4) and
(4.6)? Put your answer in fully reduced form.

Answers

Answer:

5-8. 10- 8 39-66 87 9-99 01 45,

His problem probably won’t be too hard! Help please I need it ASAP ​

Answers

Answer:

24

Step-by-step explanation:

24 is the answer ksnskskskndndkdnd

The answer is 24! Hope this helped

Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form

Answers

Answer:

y=2(x+3.5)^2+0.50

Step-by-step explanation:

we have

y=(x+3)^2+(x+4)^2

y=x^2+6x+9+x^2+8x+16

y=2x+14x+25

rewrite now in vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

y-25=2x^2+14x

Factor the leading coefficient

y-25=2(x^2+7x)

Complete the square. Remember to balance the equation by adding the same constants to each side

y-25+24.50=2(x^2+7x+3.5^2)

y-0.50-2(x^2+7x+12.25)

Rewrite as perfect squares

y-0.50=2(x+3.5)^2

y=2(x+3.5)^2+0.50

the vertex is the point (-3.5,0.50)

therefore the answer is

y=2(x+3.5)^2+0.50

The expression 2y+ 2.6 is equal to ? for y=5

Answers

Answer:

Its 12.6

Step-by-step explanation:

first we multiply 2 by 5 and get 10. Then we add 10 to 2.6 and get 12.6 for your answer.

Answer: 12.6

Step-by-step explanation:

2(5)+2.6

10+2.6

12.6

Which equation matches the graph y=-1x+3 , y=1x, y1x+3, y=-1x can you guys tell me which equation matches the graph with explanation

Answers

Answer:

y = 1.x + 3

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Since, y-intercept and x-intercepts are equal,

Let the given line passes through (0, 3) and (-3, 0),

Slope of the line (m) = [tex]\frac{3-0}{0+3}[/tex] = 1

y-intercept of the line 'b' = 3

Equation of the line will be,

y = 1.x + 3

I WILL GIVE BRAINILEST AND 5 STAFS IF CORRECT

Use the expression 9(7 + 2x) to answer the following:

Part A: Describe the two factors in this expression. (4 points)

Part B: How many terms are in each factor of this expression? (4 points)

Part C: What is the coefficient of the variable term? (2 points)

Answers

Answer:

Part A: Describe the two factors in this expression. (4 points) The factors are (1) the constant coefficient 9 and (2) the binomial (7+2x).

Part B: How many terms are in each factor of this expression? (4 points) The first factor (multiplicand), 9, has one term. The second factor (multiplicand), (7+2x), has two terms (and is thus called a binomial).

Part C: What is the coefficient of the variable term? (2 points) The only such coefficient is 2.

round the number 1 560 to the nearest thousands place​

Answers

Answer:

2000

Step-by-step explanation:

Answer:

2,000

Step-by-step explanation:

the reason of this is the one becomes a two so the other numbers go to zero

then there is a possible another answer 1060 but i think it is wrong so the answer is 2,000.

if you like my question please send brainiest thanks.

I need help with this to

Answers

Answer C is correct.

Explanation:

Let X = -2 and Y = 10

Y = -3x + 4
10 = -3*(-2) + 4
10 = 10

Which checks out.
C is correct hope this helps <3

Guess my number between 1-5 and u will get brainliest

Answers

Answer:

3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

What is the value of x in this figure?

Answers

Answer:

65

Step-by-step:

You would do 180-48-67= 65

The number line shows the locations of points A and C.
If point B is 1/3 of the way from point A to point C, what is the coordinate of point B ?

Answers

Answer:

Point B would be at 2.5

Step-by-step explanation:

The points have an 8 umber distance so numbers 2 and 3 are the middle numbers and the middle of those numbers would be 2.5.

Answer:

2.5

Step-by-step explanation: i did it on a test and got it right

The system of equations is graphed on the
coordinate plane.
y = x - 1

y = -2x - 4

Enter the coordinates of the solution to the
system of equations in the boxes.
(___,___)

Answers

-1,-2 because they intersect

Please please please someone help me

Answers

Answer:

15

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

Substutting in q(x) makes 3=4/5x-9

Add 9 to both sides to get 12=4/5x

Divide both sides by 4/5 and get 15=x

Thus, x=15

. The ratio of boys to girls in Ms. Cunningham's class is 2 to 3. There are 21 girls in the class. What is the total number of students in Ms. Cunningham's class?

Answers

Answer:

14

Step-by-step explanation:

21 times 2 = 42

42 divided by 3 = 14

MARKING AS BRAINLIST PLEASE HELP ONLY ANSWER IF YOU KNOW

Answers

The answer is “B” this is the correct answer because in asa we need to identify another angle which would be angle d and p

How many yards are there in 14 1/2 miles?

Answers

Answer:

25520

Step-by-step explanation:

School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaperones must there be for 82 students? A. 6 chaperones B. 41 chaperones C. 7chaperones D 3 chaperones

Answers

Answer:

A. 6 chaperones

Step-by-step explanation:

Since it's 2 chaperones per 25 students you would need to see how many times 25 can fit into 82

82/25 = 3.28

You can round that number to 3

Then you'll multiply 3 by 2 to get your number of chaperones for the school trip

3 x 2 = 6

There's still students left but not enough for there to be another chaperone so the answer is 6

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