∆ABC is an equilateral triangle. Point P is on base BC such that
PC = 1 /3 BC. If AB = 12 cm, find AP

Answer:

2/3x-y=-4

Step-by-step explanation:

Answer:

145$ is the markup price i think

Step-by-step explanation:

100$+ 45%=x

100/100%=1

45%*1=45

100$+45$= 145$

Answer:

6561

Step-by-step explanation:

Simplifying 9⁴ gives 6561

You can multiply exponents to get certain values, so it can also be expressed as:

[tex](9^{2})^2[/tex]

you got it

Step-by-step explanation:

Answer:

Yes Carla is correct.

Step-by-step explanation:

Answer:

59065.75

Step-by-step explanation:

Answer:

x=5 cm,y=12 cm

Step-by-step explanation:

We are given that

RQ=3 m

PQ=4 cm

RP=x cm

RS=13 cm

SP=y cm

We know that Pythagoras theorem

[tex](Hypotenuse)^3=(base)^2+(perpendicular\;side)^2[/tex]

In right triangle RQP

Using Pythagoras theorem

[tex]RP^2=RQ^2+PQ^2[/tex]

Substitute the values

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

[tex]x^2=9+16[/tex]

[tex]x^2=25[/tex]

[tex]x=\sqrt{25}=5[/tex]cm

Now,

In triangle RPS

[tex]RS^2=RP^2+SP^2[/tex]

[tex](13)^2=5^2+y^2[/tex]

[tex]169=25+y^2[/tex]

[tex]169-25=y^2[/tex]

[tex]144=y^2[/tex]

[tex]y=\sqrt{144}=12[/tex] cm

Answer:

6*1/4 = 1 2/4 or 6/4

3*2/3 = 2 or 6/3

Step-by-step explanation:

Answer:

Basically it is an x and y axis type of equation. The 3 could be how many steps to the right and the 4 could be how many steps forward.

Step-by-step explanation:

Start from the center of the grid which is called the origin and jump 3 times to the left. Then, you move 4 steps forward and then you have your ordered pair

Answer:

the answer is 9.2

Step-by-step explanation:

The radical value √(85) lies between 81 and 100. So, the smallest integer greater than the square root of 85 is 10.

Important information:

The perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

It is clear that,[tex]81<85<100[/tex]

Taking square root on each side, we get

[tex]\sqrt{81}<\sqrt{85}<\sqrt{100}[/tex]

[tex]9<\sqrt{85}<10[/tex]

The value [tex]\sqrt{85}[/tex] lies between 9 and 10.

Therefore, the smallest integer greater than the radical value square root of 85 is 10.

Find out more about 'Radical' here:

https://brainly.com/question/8243233

Step-by-step explanation:

3x = 12 - 18

3x = (- 6)

X = (-6)/3

x = (-3)

Answer:

2nd one

Step-by-step explanation:

y=2x-1 meaning start off at -1 rise 2 run 1. not sure if that makes sense but yea the answer is the second one.

Equation 1 would be: 3a+2C

Equation 2 would be: 5a+3C

The system of equations are solved and the cost of adult ticket and child tickets are $ 6 and $ 4 respectively

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the adult tickets be a

Let the child tickets be c

Group A buys 3 adult tickets and 2 child tickets and pays a total of $26

So , 3a + 2c = 26   be equation (1)

And , Group B buys 5 adult tickets and 3 child tickets and pays $42

So , 5a + 3c = 42   be equation (2)

On simplifying , we get

Multiply equation (1) by 5 and equation (2) by 3 , we get

15a + 10c = 130   be equation (3)

15a + 9c = 126   be equation (4)

Subtracting equation (4) from equation (3) , we get

c = $ 4

Therefore , the cost of child ticket is $ 4

Substituting the value of c in equation (1) , we get

3a + 2 ( 4 ) = 26

3a + 8 = 26

Subtracting 8 on both sides , we get

3a = 18

Divide by 3 on both sides , we get

a = $ 6

Therefore , the cost of adult ticket is $ 6

Hence , the system of equations are solved

To learn more about equations click :

https://brainly.com/question/19297665

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Answer:

Step-by-step explanation:

2x+4y=82  

x=41

y=20.5

hope this helps!

GYMNASTICSLOVE

PRONOUNS (SHE/THEY)

Answer:

$40

Step-by-step explanation:

use y = mx + b  

y = amount saved = ?

m = amount saved per week = $10

x = time (in  months) saving = 2.5

b = money jerry started with = $15

plug in:

y = (10)(2.5)+15

y = $40

Answer:

=> 125,650 x 6% = $7,539

Step-by-step explanation:

Answer:

y=mx+b

Step-by-step explanation:

that is the equation

Answer:

5 over -3 is the correct answer

Answer:

77 cm

Step-by-step explanation:

Answer:

0.77 meters=77 centimeters.

Step-by-step explanation:

you have to multiply the length value by 100

i hope this helps.      :)

Answer:

D)

Step-by-step explanation:

Right on Edge 2021

Answer:

D) The cost of exporting e-waste is covered by the country accepting the waste.

Step-by-step explanation:

edge :D

Answer:

3x3= 9

9-3=6

3+3=6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3(x+2)+4x=3x+6+4x=7x+6

Answer:

y = 1.25x + 6

m = 1.25

b = 6

Step-by-step explanation:

Answer:

The equation of perpendicular bisector of QR is:

y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322

Step-by-step explanation:

Given points are:

Q(-2,0)\ and\ R(6,12)Q(−2,0) and R(6,12)

First of all, we have to find the slope of the given line

So,

m = \frac{y_2-y_1}{x_2-x_1}m=x2−x1y2−y1

Here

(x1,y1) = (-2,0)

(x2,y2) = (6,12)

Let m1 be the slope of QR:

Then

\begin{gathered}m_1 = \frac{12-0}{6+2}\\= \frac{12}{8}\\= \frac{3}{2}\end{gathered}m1=6+212−0=812=23

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of two perpendicular lines is -1

\begin{gathered}m_1.m_2 = -1\\\frac{3}{2}.m_2 = -1\\m_2 = -1 * \frac{2}{3}\\m_2 = -\frac{2}{3}\end{gathered}m1.m2=−123.m2=−1m2=−1∗32m2=−32

The bisector will pass through the mid-point of QR

\begin{gathered}M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\M = (\frac{-2+6}{2}, \frac{0+12}{2})\\M = (\frac{4}{2}, \frac{12}{2})\\M = (2,6)\end{gathered}M=(2x1+x2,2y1+y2)M=(2−2+6,20+12)M=(24,212)M=(2,6)

Slope-intercept form of equation is:

y = m_2x+by=m2x+b

Putting the value of slope

y = -\frac{2}{3}x+by=−32x+b

Putting (2,6) in the equation

\begin{gathered}6 = -\frac{2}{3}(2)+b\\6 = -\frac{4}{3}+b\\b = 6+\frac{4}{3}\\b = \frac{18+4}{3}\\b = \frac{22}{3}\end{gathered}6=−32(2)+b6=−34+bb=6+34b=318+4b=322

So,

y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322

Hence,

The equation of perpendicular bisector of QR is:

y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322

Answer:

1/3(1/6) + 11/18 = 1/18 + 11/18 = 12/18 or 2/3

Step-by-step explanation:

Answer:

Look below! Branliest please!

Step-by-step explanation:

To find the volume, we multiply 12 by the height and then by 3.14. So for 1, we get 1*12 which equals 12, then we multiply that by 3.14 and we get 37.68. So we do that for all of them.

1*12*3.14 = 37.68

3*12*3.14 = 113.04

5*12*3.14 = 118.4

7*12*3.14 = 263.76

Answer:

c

Step-by-step explanation: