Jose wants to find the perimeter of triangle ABC. He uses the distance formula to determine the length of AC. Finish Jose’s calculations to find the length of AC.
What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.

12.0 units
12.4 units
15.0 units
15.4 units

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

I found it easiest to draw arcs of radii AB and AC centered at A, and arcs of radii DB and DC centered at D. The intersection points of those arcs mark the points B' and C'. These are points B and C reflected across line AD.

Joining A, B', C', and D will make a figure symmetrical about AD.

OPTION C IS THE CORRECT ANSWER.

Answer:

-383.5

Step-by-step explanation:

4+2.5+1+...-33.5

a=4

c.d. d=2.5-4=-1.5

l=-33.5

l=a+(n-1)d

-33.5=4+(n-1)(-1.5)

-33.5-4=(n-1)(-1.5)

-37.5=(n-1)(-1.5)

[tex]n-1=(-37.5)/(-1.5)=25\\n=25+1=26\\n=26\\S_{26}=\frac{n}{2} (a+l)\\=\frac{26}{2} (4-33.5)\\=13(-29.5)\\=-383.5[/tex]

Answer:

6√7=15.874507866387543=√252

Step-by-step explanation:

hope this is helpful

The expression that are equivalent to √252 are [tex]252^{\frac{1}{2} }[/tex] and 6√7.

Applying the surd rule,

√a = [tex]a^{\frac{1}{2} }[/tex]

Hence,

[tex]\sqrt{252}=252^{\frac{1}{2} }[/tex]

using surd rule, we can also decompose √252

Therefore,

√252 = √36 × 7 = 6√7

Hence, the equivalent expression of √252 are as follows:

learn more on expression here: https://brainly.com/question/27768447

#SPJ2

Answer:

Step-by-step explanation:

Lateral area, Al = a√(a² + 4h²)

Where,

a = base edge = 5 in

h = height = 10 in

Lateral area, Al = a√(a² + 4h²)

= 5√(5² + 4*10²)

= 5√(25 + 4*100)

= 5√(25 + 400)

= 5√425

= 5 * 20.615528128088

= 103.07764064044

Approximately,

Lateral area = 103.08 in²

Answer: 100

Step-by-step explanation: each side has an area of 10*5/2, or 25, and there are 4 lateral sides, so times 4, it's 100

Answer: x = 28

Step-by-step explanation:

3x+10+3x+2=180

6x+12=180

6x=168

x = 28

Answer:

x=28

Step-by-step explanation:

Since both lines going up are parallel, we can label the angle to the left of the angle with the measure of 3x+10 3x+2. These angles are supplementary as they are on different sides of the same line. This means that:

(3x+10)+(3x+2)=180

6x+12=180

6x=168

x=28

Answer:

3 1/25

Step-by-step explanation:

3.04

Do the decimal part first

.04 = 4/100

Reduce - cancel out 4

1/25

Put back the whole number

3 1/25

Answer:

3 [tex]\frac{1}{25}[/tex]

Step-by-step explanation:

I agree with the previous answer :

You need to do it part by part.

0.04 is equal to [tex]\frac{4}{100}[/tex]

[tex]\frac{4}{100}[/tex] simplified (we divide by 4 with both the denomantor and the numerator.) =

[tex]\frac{1}{25}[/tex]

And we still have those 3 wholes that we had in the beginning.

Now we add.

3 + [tex]\frac{1}{25}[/tex] = 3 [tex]\frac{1}{25}[/tex]

Answer:

A

Step-by-step explanation:

basta letter A sagot dyan

Answer:91%

Step-by-step explanation:

Answer:

so for this we do

39.42*1.08=42.5736

Hope This Helps!!!

Answer:

A

Step-by-step explanation:

The scale factor k is the ratio of corresponding sides, image to original.

k = [tex]\frac{CP'}{CP}[/tex] = [tex]\frac{15}{75}[/tex] = 0.2

Since k < 1 this represents a reduction.

Answer:

x=-3×-5×-7

-3×-5=15

15×-7=-105

=-105

Answer:

slope = 4/3

Step-by-step explanation:

(-1 , 1) = (x1 , y1)

(2 , 5) = (x2 , y2)

slope (m) = y2 - y1/x2 - x1

=5 - 1/2 - (-1)

=4 /2+1

=4/3

Answer:

optin d) 8

Step-by-step explanation:

           [tex]2 \times 2 \times 2 = 2^3[/tex] [tex]= 8[/tex]

Answer:

a) 20 km away fro the starting point.

b) The bearing from P to R is 80°.

c) Q is 60 km North P.

d) Q is - 60 km west of P

Step-by-step explanation:

Stating Facts in the Question:

P to Q is 80 km and bearing 330°

It turned around, Q to R is 60 km and bearing 250°.

a) Picture a number line (Look at the first image)

You go 80 to the right. You turn around and go 60 to the left.

80 - 60 = 20

20 km away fro the starting point

b) Picture a number line (Look at the second image)

P to Q is bearing 330°

Q to R is 60 km is bearing 250°

P to Q is red

Q to R is blue

330° - 250° = 80°

The bearing from P to R is 80°

c) P to Q is 60 km

The plane went forward or North so the answer is 60 km.

Q is 60 km North P.

d) Q to P is 60 km

Q is not to the west of P

Q is - 60 km west of P

Answer:

Simultaneous equations

Step-by-step explanation:

4a + 7m = 17.75

2a + 5m = 10.75

Double the 2nd equation and then subtract the two equations to cancel the 4a out

Work with the 'm' terms and find the value of m

After finding the value of 'm', substitute it into one of the original equations (the ones given in the question) and solve to find the value of 'a'

Hope this helped

Answer:

4.1 hours each day

Step-by-step explanation:

20.5 ÷ 5

= 4.1

Therefore 4.1 hours was spent on studying each day.

Answer:

k=38

Step-by-step explanation:

38+10=48

Answer: -3

Step-by-step explanation:

-l-7+4l = -l-3l = - 3

ll means anything inside there is positive, so for example if -3 was in there, l-3l = 3

Answer:

- 3

Step-by-step explanation:

-|-7 + 4|

Simplify inside the absolute values first( like parentheses)

-|-3|

Take the nonnegative value for the absolute value

- 3

Answer:

h=rt.96=4 rt.6

Step-by-step explanation:

r=2 inches

therefore 100= root over h + 4

          =>h=rt.96=4 rt.6

Answer:

C'(-1,1)

Step-by-step explanation:

The coordinates of C are (-2,4).

The translation is (x+1,y-3), so we take the x value -2 and the y value 4 and plug it in.

(-2+1,4-3)

=(-1,1)

C' has the coordinates (-1,1)

Answer:

Step-by-step explanation:

By (x+1, y-3), the trapezoid wll move 1 point to the right, and 3 points down.

Answer:

Step-by-step explanation:

a=-2.9

b=-2 5/8=-21/8=-2.625

c=-7/3=-2.333333

Answer:

77

Step-by-step explanation:

i took the test

Answer:

c

Step-by-step explanation:

If you meant to write [tex]\log_{b}(y) = x[/tex] then the statement is true.

As a more concrete example, something like [tex]\log_3(81) = 4[/tex] would be read out as "log base 3 of 81 is equal to 4".

Answer:

0.13347022587

Step-by-step explanation:

Answer:

7 R 32

Step-by-step explanation:

   0 0 7

6 5 4 8 7

 − 0    

   4 8  

 −   0  

   4 8 7

 − 4 5 5

     3 2

Answer:

Probability[Random choose marble is green] = 5 / 13

Step-by-step explanation:

Given:

Number of yellow marble in bag = 4

Number of white marble in bag = 4

Number of green marble in bag = 5

Find:

Probability[Random choose marble is green]

Computation:

Probability of an event = Number of favourable outcome / Number of total outcome

Probability[Random choose marble is green] = 5 / [4 + 4 + 5]

Probability[Random choose marble is green] = 5 / 13

Answer:

r =v2 /a

Step-by-step explanation:

a=v2/r

ra=v2

r =v2 /a

Answer:

r = [tex]\frac{v^2}{a}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{v^2}{r}[/tex] ( multiply both sides by r to clear the fraction )

ar = v² ( divide both sides by a )

r = [tex]\frac{v^2}{a}[/tex]

Answer:

(3,5)

5*3 = 15 .... 15-5 = 10

Step-by-step explanation: