Katie is 44 years younger than Sylvia. ​Let kk represent Katie's age, ​and let ss represent Sylvia's age.​ ​ ​Part A Using the variables defined above, write an equation that ​shows the relationship between Katie's age and Sylvia's age. ​ ​ ​Part B Use the equation from Part A to find how old Sylvia is when ​Katie is 13 years old. ​ ​​ years old.

Answer:

angle B = 66.42

Step-by-step explanation:

cos-1 B = [tex]\frac{adjacent}{hypotenuse}[/tex]

cos-1 B = [tex]\frac{2}{5}[/tex]

cos-1 B = 0.40

cos-1 of 0.40 is 66.4218

round to the nearest hundreth = 66.42

angle b = 66.42

Answer:

First option: 336

Step-by-step explanation:

To find the answer, separately solve for each of the shapes.

1. The base is the square so length times width is the formula:

12 x 12 = 144

144 is the area of the square

Next, find the 4 triangles which are congruent(the same).

Triangle area formula: Base x Height divided by 2.

So, the area of 1 triangle is 12 x 8 =96

96/2 = 48

Area =48

Because there are 4 triangles, do 48 x 4=192.

Finally, add the area together and you should get 192+144 =336 ft^2

Surface area = 336 ft^2

Answer:

Step-by-step explanation:

Answer:

I thing Kaleigh read 1.5 more than Austin

Step-by-step explanation:

Answer: 1. 34 degrees+34 degrees=68 180-68=112 so x=112 degrees

2. 84+22=106 180-106=74 so x=74 degrees

3. 126+20=146 180-146=34 so x=34 degrees

4. both angles on both sides are 40 so 40+40=80 180-80=100 so x=100 degrees

Step-by-step explanation: plz mark me brainliest [tap the crown on the bottom of an answer, if there isn't one then reload the page (there has to be 2 people who answered)]

Answer: 3.14159265358979.....

Step-by-step explanation:

Answer:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067.

Answer:

y = 7

Step-by-step explanation:

(5) + y = 12

12 - 5 = 7

Answer:

1. 6cm , 8cm , 10cm

2. 3cm , 4cm , 5cm

Step-by-step explanation:

Answer: Weight of the remaining block of wood =400g

Step-by-step explanation:

Total Weight of five(5) blocks = 3kg = 3000g

Weight of 4 out of the 5 blocks = 650x 4= 2600g

Weight of the remaining block of wood =Total Weight of five(5) blocks-Weight of 4 out of the 5 blocks

= 3000g-2600g

=400g

Answer:

15

Step-by-step explanation:

Apply absolute rule: | a | = a, a ≥ 0

| 13 | = 13

= 13 + | -2 |

| -2 | = 2

= 13 + 2

= 15

50×100÷110=45.454545r6

Answer: to get range you subtract the largest and smallest numbers. so 18-3= 15 therefor, 15 is the range.

Hope this helps :)

Answer: 6

Step-by-step explanation:

Answer:

2676 yards

Step-by-step explanation:

12*223 is 2676

if each costume requires 223 yards then all you do is multiply the numbers

Answer:

this hurts my brain x_x my non-existent brain....

Answer:

x= 7, y=0 (7,0)

Step-by-step explanation:

Given:

The equations of circle are

4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

5. [tex](x-1)^2+(y+2)^2=28[/tex]

6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

To find:

The center and radius for the given circles.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.

4.

The equation of the circle is

[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

The standard form of this circle is

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]

Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].

5.

The equation of the circle is

[tex](x-1)^2+(y+2)^2=28[/tex]

The standard form of this circle is

[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]

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

Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].

6.

The equation of the circle is

[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

The standard form of this circle is

[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]

[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]

Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].

Answer:

There were 343 children and 197 adults.

Step-by-step explanation:

In order to solve this problem, you can use an equation after identifying the important information, like that there were 540 people, the cost for a child is $1.25, the cost for an adult is $2.00, and admission fees totaled $822.75:

where c = number of children, and a = number of adults,

c + a = 540

1.25c + 2a = 822.75

Now, you need to solve this system of equations by isolating one of the variables. I'll isolate c by multiplying the first equation by 2 since it's easier:

  2c + 2a = 1080

- 1.25c + 2a = 822.75

= .75c           = 257.25

Now, you can multiply both sides by 4/3 to find c:

c = 257.25 × 4 ÷ 3

c = 343

So there were 343 children. Now you can find the number of adults by substituting 343 for c in the first equation:

where c + a = 540 and c = 343,

343 + a = 540

a = 197

So, there were 197 adults.

Given:

The expression is

[tex]3x^4-81x[/tex]

To find:

The product of prime polynomials which is equivalent to the given expression.

Solution:

We have,

[tex]3x^4-81x[/tex]

Taking out the common factors, we get

[tex]=3x(x^3-27)[/tex]

It can be written as

[tex]=3x(x^3-3^3)[/tex]

[tex]=3x(x-3)(x^2+3x+3^2)[/tex]        [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]

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

[tex]=3x(x-3)(x^2+3x+9)[/tex]

Therefore, the correct option is B.

Answer:

It's B

Step-by-step explanation:

Answer:

The glass expands

Step-by-step explanation:

Molecules move faster and spread out more in high temperatures. In the tightly packed glass, they don't have much space to expand, so the glass cracks

Given:

In a triangle, side x has a length of 15 cm and side y has a length of 4 cm.

To find:

The possible value of side z.

Solution:

In a triangle, the sum of two smaller sides must be greater than the largest side otherwise the triangle is not possible.

Case I: Let x be the largest side, then

[tex]y+z>x[/tex]

[tex]4+z>15[/tex]

[tex]z>15-4[/tex]

[tex]z>11[/tex]               ...(i)

It is clear that [tex]y<x[/tex]. So, y cannot be a largest side.

Case II: Let z be the largest side, then

[tex]x+y>z[/tex]

[tex]15+4>z[/tex]

[tex]19>z[/tex]               ...(ii)

From (i) and (ii), we get

[tex]11<z<19[/tex]

It means the value of z lies between 11 and 19.

From the given options, only 17 is the value which lies between 11 and 19. So, the possible length of side z is 17 cm.

Therefore, the correct option is C.

9514 1404 393

Answer:

  m = 1/3

Step-by-step explanation:

Step 1. Pick a line of the table to use as (x1, y1).

Step 2. Pick a different line of the table to use as (x2, y2).

Step 3. Use the slope formula:

  m = (y2 -y1)/(x2 -x1)

Step 4. Simplify the result.

__

Here are these steps for this problem.

1, 2. use (x1, y1) = (-9, -5) and (x2, y2) = (-3, -3)

3. m = (-3 -(-5))/(-3 -(-9)) = 2/6

4. m = 1/3

18.84

Hope this helps you!

Answer:

18.84

Step-by-step explanation:

Answer: jimmy needs a new job

Step-by-step explanation:

Answer:

x>9

Step-by-step explanation:

Tamika already has $55, which will stay the same independent of how much time passes. Since she deposits $5 per week, we can assign weeks a variable x. The amount of money in her account after x weeks is equal to 55+5x. If she must save over $100, we can create an inequality to solve for how many weeks must pass: 55+5x>100.

The question also asks to solve the inequality:

This solution tells us that Tamika must save for more than nine weeks to have more than $100 in her account.

lmk if i made an error, hope this helps!!