What is the area of the triangle?

Answer:

First the mode.  Since 5 popped up the most, 5 is the mode.

Next is the median.  I crossed 1 dot from each side until it shows the last dot, and 5 was the last one.

After that the range.  9-2=7

Finally the worst, the mean... 2+2+3+3+3+4+5+5+5+5+5+6+6+6+8+9+9+9+9

=104/19=5.47

SO, Mode=5 Median=5 Range=7, and the mean is 5.47 (rounded nearest hundred)

Answer:

Directions: Write the new coordinates for each point or figure.

Sample Question:

Point F has the coordinates (-9,6). What are the coordinates of its image point after the translation of six units down and three units to the left?

Answer:

The coordinates of its image point after the translation are (-12, 0).

Explanation: When you look at an ordered pair the x number comes first, followed by the y number (x,y). Moving a point left or right changes the x number. Moving a point up or down changes the y number. Left and down require subtraction, while right and up require addition. In the sample, we had to go 3 units to the left, -9 - 3 = -12. We also had to go 6 units down, so 6 - 6 = 0.

Point Q has the coordinates (9,5). What are the coordinates of its image point after a translation of six units up and three units to the right?

Point P has the coordinates (3,4). What are the coordinates of its image point after a translation of 8 units down and 5 units to the left?

Point Z has the coordinates (10,7). What are the coordinates of its image point after a translation of six units down and three units to the right?

Point Y has the coordinates (0,-4). What are the coordinates of its image point after a translation of 10 units up and 3 units to the left?

Point X has the coordinates (3,-8). What are the coordinates of its image points after a translation of 11 units down and 10 units to the right?

Answer:

(-10,5)

Step-by-step explanation:

Answer:

82.5.

Step-by-step explanation:

That would be the average if you scored 100 on your last test.

This is (71+78+81+100)/ 4

= 82.5

Answer:

5

Step-by-step explanation:

Answer:

9.43

Step-by-step explanation:

Given

See attachment for illustration

Required

Distance AE

The actual path taken by the taxicab are in bold lines.

To calculate the distance AE, we simply consider the triangle AOE where

[tex]AE^2 = OE^2 + AO^2[/tex]

[tex]AE^2 = 5^2 + (5+3)^2[/tex]

[tex]AE^2 = 5^2 + 8^2[/tex]

[tex]AE^2 = 25 + 64[/tex]

[tex]AE^2 = 89[/tex]

Take square roots

[tex]AE = \sqrt{89[/tex]

[tex]AE = 9.43[/tex]

9514 1404 393

Answer:

  $80

Step-by-step explanation:

You are given the formula ...

  P = I/(rt)

and the values I = 20, r = 0.05, t = 5.

Put the numbers in place of the corresponding variables and do the arithmetic.

  P = 20/(0.05·5) = 20/0.25 = 80

The amount $80 will generate $20 in interest over 5 years at 5% per year.

Answer:

option C

Step-by-step explanation:

[tex]distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

              [tex]=\sqrt{(-4-2)^2+(15-7)^2} \\\\=\sqrt{(-6)^2 + 8^2}\\\\=\sqrt{36 + 64 }\\\\= \sqrt{100} \\\\= 10[/tex]

Answer:

B = 31.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan B = opp / adj

tan B = 28.2 / 45.8

taking the inverse tan of each side

tan ^ -1 ( tan B) = tan ^-1 (28.2/45.8)

B =31.62145

Rounding to the nearest tenth

B = 31.6

Answer:

75.36 cubic units

Step-by-step explanation:

The volume of a cylinder is [tex]V=\pi r^{2}h[/tex] where [tex]V[/tex] is the volume of the cylinder, [tex]r[/tex] is the radius of the cylinder's base, and [tex]h[/tex] is the height of the cylinder. This problem requires that we use 3.14 for the constant [tex]\pi[/tex].

With the given information, this means that the volume of the cylinder is:

[tex]V=\pi r^{2}h[/tex]

[tex]V=3.14(2)^{2}(6)[/tex]

[tex]V=3.14(4)(6)[/tex]

[tex]V=3.14(24)[/tex]

[tex]V=75.36[/tex]

Therefore, the volume of the cylinder is 75.36 cubic units

Answer:

Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.

Step-by-step explanation:

Since Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest, and the invested $ 1000 less in a 18-month CD that had a 2% simple interest return, if the total amount of interest from these investments was $ 945.00, to determine how much was invested in each CD the following calculation must be performed:

3.3 x 5 = 16.5

2 x 1.5 = 3

4000 x 0.165 + 3000 x 0.03 = 750

6000 x 0.165 + 5000 x 0.03 = 1140

5000 x 0.165 + 4000 x 0.03 = 945

Therefore, Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.

Answer:

r = -6

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope 3/4

This means that [tex]m = \frac{3}{4}[/tex], and thus:

[tex]y = \frac{3}{4}x + b[/tex]

(6,3)

This means that when [tex]x = 6, y = 3[/tex]. We use this to find b. So

[tex]y = \frac{3}{4}x + b[/tex]

[tex]3 = \frac{3}{4}(6) + b[/tex]

[tex]b = 3 - \frac{18}{4} = \frac{12}{4} - \frac{18}{4} = -\frac{6}{4}[/tex]

So

[tex]y = \frac{3}{4}x - \frac{6}{4} = \frac{3x - 6}{4}[/tex]

(-6, r)

r is y when [tex]x = -6[/tex]. So

[tex]y = \frac{3(-6) - 6}{4} = -6[/tex]

So r = -6.

Answer:

A

Step-by-step explanation:

Answer:

[tex]x < - 2[/tex]

Step-by-step explanation:

Hope it is helpful...

Answer:

49.53

Step-by-step explanation:

Answer:

49.53

3.9 = 3 + 0.9 (separated by place value)

12.7 x 0.9 = 11.43

12.7 x 3 = 38.1

11.43 + 38.1 = 49.53

(this is the process that happens in stack multiplication of this format:

12.7

x 3.9

-----------

49.53

Answer:

Step-by-step explanation:

1) 5       2)20      3)3    4) 12

5) 9      6)18     7) 3     8) 20

9) 27    10)15   11)5  12)18

Answer:

The first one is 145 in^2 and the other is 250 in^2

Step-by-step explanation:

For the first one you have to find the base first so 5*5=25, then you find the area of the other faces and since theres 4 of them dont bother diving them by 2 and just do it twice, so the faces would be 120 in^2 in all add it together and you get 145

For the second one its the same thing but instead of a square base its a triangle so theres only 3 faces. 8*10 = 80/2 =40, 2 of the faces are 140 in all and to find the last one just 14*10=140/2=70 and you add them together and get 250

Answer:

Length of ST = mQR/2 = 4

Step-by-step explanation:

S and T are the mid-points of PQ and PR, so ST is parallel to and equal to half the length of QR.

(following corrected due to mistake)

Length of QR = sqrt((3--5)^2+(4--2)^2)=sqrt(8^2+6^2)=10

Length of ST = mQR/2 = 5

I apologize for the error previously committed.

Answer:

2nd option:

8x+2y=32

x+y=7

Step-by-step explanation:

Answer:

It is in fact the second one.

Step-by-step explanation:

It says that he bought a total of 7 tickets and it cost $32.

x represents the number of adult tickets and y represents the number of chid tickets.

So:

x + y = 7 because the adding the number of adult and child tickets should equal the total number bought.

and

8x + 2y = 32 because each adult ticket was 8 dollars and each child was 2 and the total should add up to 32

Answer:

Thank it if its helpful :D      ; Answer is 2

Step-by-step explanation:

well lets make it y=mx+b form

3y=-x+6

y=-x/3+2

Y-intercept = 2

9514 1404 393

Answer:

  4. 8 yds

  5. 30 mi

Step-by-step explanation:

The relation according to the Pythagorean theorem is ...

  c² = a² + b²

This can be solved for 'a' or 'b' to get ...

  a = √(c² -b²)

  b = √(c² -a²)

__

4. b = √(17² -15²) = √(289 -225) = √64 = 8

The length of leg b is 8 yards.

__

5. a = √(50² -40²) = √(2500 -1500) = √900 = 30

The length of leg 'a' is 30 mi.

_____

Additional comment

You may recognize the relevant Pythagorean triples as (3, 4, 5) and (8, 15, 17). A few others that are often seen are (5, 12, 13), (7, 24, 25) and (9, 40, 41). Any of these can be multiplied by some factor, as the (3, 4, 5) triple is in problem 5.

Answer:

[tex]A_{\Delta ABP}=\sin \theta[/tex]

Step-by-step explanation:

Let the center of the circle be O.

Recall that the area of a triangle can be given by:

[tex]\displaystyle A=\frac{1}{2} ab\sin C[/tex]

Where C is the angle between the two sides.

ΔABP is equal to the sum of ΔAPO and ΔBOP.

Let a = OP and b = OB. Since this is the unit circle and PO and BO are radii, they both equal one. C will be θ. Hence, the area of ΔBOP is:

[tex]\displaystyle A_{\Delta BOP}=\frac{1}{2}(1)(1)\sin \theta=\frac{1}{2}\sin\theta[/tex]

For ΔAPO, we can use the two sides OP and OA. Again, they are the radii of the unit circle, so they equal one. The angle in this case will be π - θ radians. Hence:

[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}(1)(1)\sin\left(\pi -\theta\right)=\frac{1}{2}\sin\left(\pi -\theta\right)[/tex]

However, note that sin(π - θ) = sin(θ). Hence:

[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}\sin\left(\theta\right)[/tex]

Hence, the area of ΔABP is:

[tex]\displaystyle A_{\Delta ABP}=\frac{1}{2}\sin \theta+\frac{1}{2}\sin\theta =\sin \theta[/tex]

Answer:See explanation

Step-by-step explanation:

The values that can be used to satisfy the inequality 4x - 3 < 25 will be calculated thus. We simply have to get the value of x and this will be:

4x - 3 < 25

4x < 25 + 3

4x < 28

x < 28/4

x < 7.

Therefore, the values that must satisfy the equation must be less than 7 such as 1, 2, 3, 4, 5 and 6.

Answer:

y = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-4(y - 2) = 12

Step 2: Solve for y

Answer:

-4y+8=12

-4y=12-8

-4y=4

y=-1

Answer:

the answer=C.16>-10

Step-by-step explanation:

sixteen is more than Negative ten

Answer:

y = -⅓x + 3

Step-by-step explanation:

To find the equation of the graph in the form of y = mx + b (slope-intercept form), we have to find the slope (m) and the y-intercept (b) of the graph:

Slope (m) = change in y/change in x

Slope (m) using the two points on the line, (0, 3) and (3, 2):

m = (2 - 3)/(3 - 0) = -1/3

m = -⅓

y-intercept (b) = 3 (the y-axis is intercepted at this point)

✔️To write the equation, substitute m = -⅓ and b = 3 into y = mx + b:

Thus,

y = -⅓x + 3

Answer:

?????

Step-by-step explanation:

????

asaan ang sasagutan

Answer:

Option C

4w + 4(8)

=4w + 32.

Answer:

The answer is "Amount of daily sales at any given temperature".

Step-by-step explanation:

John, an ice-cream saloon's proprietor, gathers ice-cream day-to-day sales data in regards to the everyday temp.

When John wants to make a dispersal plot, the follows will be correlation qualities except for the number of transactions a day at any specific temperature.

Its strength, degree, or direction can be estimated by association, however, the number of daily sales cannot be measured by dispersion at any given temperature.

Answer:

1 is false

2 is true

Step-by-step explanation:

The solution is the coordinate where the two lines intersect

For the first image the two lines intersect at (3,5) therefore (0,4) is not a solution to the system of equations

For the second image the lines intersect at (1,-2) therefore the statement is true

Answer:

yea i dont know this one bro gp 23 si 28

Step-by-step explanation: