fig., QR is a common tangent to the given circles,

touching externally at the point T. The tangent at T

meets QR at P. If PT = 3.8 cm,then find the length of QR.​

Answer: 360 apples were taken

Step-by-step explanation:

Here, we are asked to find the number of apples taken, which means it is the difference between original and after. So the expression we are going to use is: Original-After=number of apples taken

------------------------------------------------------------------------------------

Given

Original=409 apples

After=49 apples

Solve

Original - After=409 - 49=360 apples

Hope this helps!! :)

Please let me know if you have any questions

Answer:

4x=0

Step-by-step explanation:

it is true

Answer:

left hand side6+2x

6x-6

right hand side

3(2x-2)

6x-6

now

6x-6=6x-6

0=0

it has no Solution

Answer:

18.87 units

Explanation:

the estimated distance from a to d is the same as a to b. we can find the length of the diagonal using pythagoras' theorem:

a² + b² = c²

√(2² + 3²) = 3.6056 (to 5s.f.)

now, we can use the same method to calculate the distance between d and c, as well as c and b:

√(3² + 5²) = 5.8310 (to 5s.f.)

adding these values, we will get:

(3.6056 + 5.8310) × 2 = 18.87 units (to the nearest hundredth)

i hope this helps! :D

Answer:

It's 76 degrees

Step-by-step explanation:

Thanks for branliest

Answer:

76

Step-by-step explanation:

the interior angles of a triangle always add up to 180 degrees, so all we have to do is add the 2 angle values that we know, so 48 + 56=104, then we subtract that from 180 to get 76. Hope this helps!

Answer:

v/10.24=8 V=4 <-- I am not sure if it's right but, I hope this helps u, Srry if it's the wrong answer

Step-by-step explanation:

Answer:

x = 8

Steps:

(4x-2) + (17x+14) = 180

4x + 17x -2 + 14) = 180

21x + 12 = 180

21x = 180-12

21x = 168

x = 168/21

x = 8

Answer:

You are correct that the cross section is a rectangle, because a rectangular pyramid has 4 sides connected to the top of the rectangle.

Step-by-step explanation:

Step-by-step explanation:

x =7-y

subs x in eqn 2

3(7-y)+y=15

21-3y+y=15

21-2y=15

21-15=2y

6=2y

y=6/2

y=3

Answer: A) x = 1/4y^2

Step-by-step explanation:

If you graph each of the choices on a graphing calculator (I recommend Desmos!) you can see which equation could be that of the parabola shown. Sorry if this isn't the explanation you were looking for.

Answer:

301.42 ft from base

Step-by-step explanation:

We can look at this situation as a triangle, the cliff is straight up and we're looking for the lowest side of the triangle. So to figure this out we use tangent, tangent is equal to Opposite over adjacent. So the tangent(37)= bear from base/height of cliff. We then multiply tan(37) by 400 to get the answer

Answer:

Angle Z = 180-32 -90 = 58 degrees

sine (32) = y / 16

y = 16 * sine (32)  

y = 16 * 0.52992

y = 8.47872

x^2 = 16^2 -y^2

x^2 = 256 -71.888

x^2 = 184.112

x = 13.568

Step-by-step explanation:

Answer:

x = 13·568, y = 8·47 and z = 58

Step-by-step explanation:

I don't think the question required you to use the Pythagoras theorem but here are some pointers anyway.

The reason I said that this question might not solely require you to use the Pythagoras theorem is because you need to have two variables for the equation to work, maybe this is what got you confused.

For this question, you're required to use Tangents, Sines and Cosines, or you can combine this method and Pythagoras method.

Method one: Using Tangents, Sines and Cosines AND the Pythagoras theorem

Step 1: Looking for x(Using Sin, Cos and Tan)

To find the length of side x, we need to use the Cosine of 32°

Cos 32° = Adjacent side ÷ Hypotenuse

0·8480 = x/16

Make x the subject and multiply both sides by 16

0·8480 × 16 = x/16 × 16

13·568 = x

∴ side x is 13·568

Step 2: Looking for y( using the Pythagoras theorem)

a² + b² = c²

a = y, b = x = 13·568, c = 16

y² + 13·568² = 16²

y² + 184·0906 = 256

y² = 256 - 184·0906

y² = 71·9094

y = √71·9094

y = 8·4799

Method 2: Using Tan, Cos and Sin only

Step 1 remains the same as shown above; x = 13·568

Step 2: Looking for y

Y can be gotten by using the Sine of 32°

Sin 32° = Opposite ÷ Hypotenuse

Sin 32° = y ÷ 16

0·5299 = y/16

Make y the subject and divide both sides by 16

0·5299 × 16 = y/16 × 16

8·4784 = y

∴ y is equal to 8·4784

(I know there's a difference in points of the two values of y, but if you round them off to 2 decimal places we see it remains 8·47

   2. Looking for z:

Using addition and subtraction

The simpler method would be to just add all the internal angles.

32 + 90 + z = 180

122 + z = 180

z = 180 - 122

z = 58

∴ z is equal to 58°

Using Tan, Sin and Cos

The cosine of Z is equal to y divided by 16, where y = 8·47

Cos z = 0·5294

Make z the subject and divide both sides by Cos.

z = 0·5294/Cos

z = 58·04° (I just used the anti-cos to get this number. Press shift, and cos on your calculator then type 0.5294 in front of it)

Here there is also a slight difference in points between the two steps but if you round off step 2 to a whole number you get 58, so it's all good :)

HOPE THIS HELPS!!! :)

Answer:

21

Step-by-step explanation:

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

x=35°

y=145°

Step-by-step explanation:

y=180°-35°=145°

x=35

Answer:

Option C

Step-by-step explanation:

sorry if I'm wrong..

Answer:

see explanation

Step-by-step explanation:

Using the identities

sin(A + B) = sinAcosB + cosAsinB

cotA = [tex]\frac{cosA}{sinA}[/tex] , tanA = [tex]\frac{sinA}{cosA}[/tex]

Consider the left side

[tex]\frac{sin(A+B)}{sinAcosB}[/tex]

= [tex]\frac{sinAcosB+cosAsinB}{sinAcosB}[/tex]

= [tex]\frac{sinAcosB}{sinAcosB}[/tex] + [tex]\frac{cosAsinB}{sinAcosB}[/tex]

= 1 + [tex]\frac{cosA}{sinA}[/tex] . [tex]\frac{sinB}{cosB}[/tex]

= 1 + cotA tanB = right side , thus verified

C. Inherited traits carry the instructions for individual genes is the statement that does not describe the relationship between genes and inherited traits. Genes carry the instructions for inherited traits, not the other way around.

Answer:

f(x)= 1.38x

y= 1.38x

Step-by-step explanation:

basically the cost= 1.38 per pound

you can use cost=1.38x if ur grade level isn't at f(x) yet

<3

Answer:

f(x) = 1.38x

x just stands for a number so depending on how many pounds you get you would times the pounds by 1.38. And f(x) (pronounced "f of x") means that each input has a single output. So if you bought 2 pounds of strawberries, the equation would change to this:

f(2) = 1.38(2)

The x's were just replaced with 2's, see? I wish someone had explained this to me earlier lol

Answer:

A polynomial function can be factored by its roots

f(x) = (x-a).(x-b). ... (x-r)

Which a, b, ... r are roots

In this case

f(x) = (x+12).(x-7)

But

f(x) = (x-(-12)).(x-7)

Thus roots are

-12 and 7

Distance is the abs function

abs(-12,7) = |-12 - 7| = 19

Ans: 19

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

2x=x+30

x=30

el numerador será 512 ya que en esta suma el numero mas alto es el 512

Answer:

7/16=7/16

8/16=1/2

9/16=9/16

10/16=5/8

11/16= 11/16

12/16=3/4

13/16=13/16

14/16=7/8

Step-by-step explanation:

The ones that didn't change are the ones that cannot be simplified :)

Answer:

$316.94

Step-by-step explanation:

Answer:

[tex]8[/tex] tons

Step-by-step explanation:

Divide the mass value by 2000, easy.

Answer:

IT'S

7.143 Tons

Step by Step:

For an approximate result,

divide the mass value by 2205

Answer:

5x+2=0

Step-by-step explanation:

When factoring you add or subtract your factors that are similar.

For example 9x-4x+ 5x

and this is how you get 5x+2=0

Any Questions?

Answer:5x+2=0

Step-by-step explanation:

Answer:

The answer is B, P = 12(1.004)^t

A growth rate of 0.4% means you have to multiply by 1.004

B is the only answer with this number, so B is the correct choice.

Answer:

f(1) = 2, f(4) = 8

Step-by-step explanation:

f(1) in the interval - 3 < x ≤ 1 , then f(x) = x + 1 , so

f(1) = 1 + 1 = 2

f(4) in the interval 1 < x ≤ 4 , then f(x) = 2x , so

f(4) = 2 × 4 = 8

Answer:

0.2

Step-by-step explanation:

[tex]\frac{7}{15}[/tex] x [tex]\frac{6}{14}[/tex] = 0.2