What is the length of TU?

Answer: wouldn’t it be $9,000? Or $12,000?

Step-by-step explanation:

Answer:

therefore reece'sis 16 years old

Step-by-step explanation:

18+p=34

p+18-18=34-18

p=16

Answer:

You have to multiply the numbers diagonally not vertically.

So

10x = 7(350)

10x = 2450

x = 245

9514 1404 393

Answer:

Step-by-step explanation:

There is a method of solving proportions that is called "cross multiply" or "cross multiplication". For a proportion like this it looks like each numerator is multiplied by the opposite denominator. In this problem, the result would be ...

  7(350) = (10)x

While "cross multiplication" is a description of the appearance of what is happening, what is really happening is that both sides of the equation are being multiplied by the same value: the product of the denominators. This is in accordance with the multiplication property of equality, which requires you multiply both sides of the equation by the same value.

__

The error that was made in this problem is that each numerator was multiplied by its own denominator. Effectively, that multiplied the left side of the equation by 10² = 100, and the right side of the equation by 350² = 122500. This is in direct violation of the multiplication property of equality, so guarantees the value found for x will be wrong.

__

While "cross multiply" is an instruction often given for solving proportions, it causes an extra step to be needed in solving a proportion like this one. All that is really needed is to multiply both sides of the equation by the denominator under the variable. Here, that means multiplying both sides of the equation by 350.

Correct solution

  [tex]\dfrac{7}{10}=\dfrac{x}{350}\\\\350\cdot\dfrac{7}{10}=350\cdot\dfrac{x}{350}\\\\\\35\cdot 7=\boxed{x=245}[/tex]

Answer:

Step-by-step explanation:

tan29=32/x

x=32/(tan29)

x=58m

So the boat is 58 meters from the base of the lighthouse.

18.84

Hope this helps you!

Answer:

18.84

Step-by-step explanation:

Answer:

B) 22

Step-by-step explanation:

6(4)-4+2

24-4+2

20+2

22

Answer:

B) 22

Step-by-step explanation:

In order: 6*4 is 24. Subtract 4 from that is 20, and then adding 2 to 20 gets you 22.

Given:

The two points are M(-10, 3) and P(-4,-8).

To find:

The distance between the points M and P.

Solution:

Distance formula:

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

Using the distance formula, the distance between the given points is

[tex]MP=\sqrt{(-4-(-10))^2+(-8-3)^2}[/tex]

[tex]MP=\sqrt{(-4+10)^2+(-11)^2}[/tex]

[tex]MP=\sqrt{(6)^2+(-11)^2}[/tex]

[tex]MP=\sqrt{36+121}[/tex]

On further simplification, we get

[tex]MP=\sqrt{157}[/tex]

[tex]MP=12.529964[/tex]

[tex]MP\approx 12.5[/tex]

Therefore, the distance between the given points M and P is 12.5 units.

Answer:

52+15

?

= 1

5−6+2

67≠1

False

Step-by-step explanation:

Answer:

$197,949.40

Step-by-step explanation:

Just took the quiz.

Hey There! I can help you by explaining how to solve it but not answering sorry! Anyhow, To find the volume of a square based pyramid I suggest you start with the square and do L x W. Than Solve the triangles by using formula 0.5 * b * h. Hint: On the bottom triangle use 8cm from the square with the 3.8cm. Hope you now understand and can find the answer!

Answer:

WX = 6

Step-by-step explanation:

1. Approach

First, one must find the value of the variable (x). This can be done by using the Tangent-Line-intersection-theorem (many people refer to it by another name, but the theory is the same). This theory essentially states that when two lines are tangent to a circle and are non-parallel, the distance between the point of tangency, and the point of intersection of those two lines are the same for each line. After finding the value of (x), one can substitute it back into the given equation for the value of (WX), and solve it.

2. Finding (x)

The two segments; (WX) and (XY) are tangent to the given circle. Meaning that they only make contact with the circle at a single point. The space between their point of tangency and the point at which they intersect will be equal. Essentially meaning that the length of (WX) and the length of (XY) are the same. Therefore the equation

(XY) = (XW)

Can be formed. Substitute in the given values;

7x - 29 = 2x + 16

Inverse operations,

7x - 29 = 2x + 16

-2x          -2x

5x - 29 = 16

     +29    +29

5x = 45

/5      /5

x = 9

3. Solve for (WX)

Now substitute back in to find the length of (WX)

7x = 29

x = 5

7(5) - 29

35 - 29

6

Answer:

I think the answer is B - 16

Step-by-step explanation:

Sorry if I'm wrong

Answer:

3x+2

Step-by-step explanation:

There are 3xs amd a 2 in it, you cant combine both.

Answer:

PJ = 41.34

Step-by-step explanation:

P is incenter, three angles bisector meet

∠MJP ≅ ∠OJP

PM = PN = PO = 22   (radius: property of incenter)

∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO

ΔJPM ≅ ΔJPO   (ASA) or (SAS)

LM = JO

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

PJ = √35²+22² = √1709 = 41.34

The value of PJ in triangle KJL is 41.32 units.

The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

Given that, P is incenter of the triangle KJL,

Considering the triangles ΔMJP and ΔOJP

PM = PO (property of incenter)

∠ JMP ≅ ∠ JOP

JP is common segment.

ΔJPM ≅ ΔJPO  (by SAS rule)

JM = JO  (CPCTC)

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

Using the Pythagoras theorem,

PJ² = PM²+JM²

PJ = √35²+22² = √1709 = 41.34

Hence, The value of PJ in triangle KJL is 41.32 units.

For more references on incenter, click;

https://brainly.com/question/29480777

#SPJ5

Answer:

c and d

Step-by-step explanation:

Answer:

$38.42

Step-by-step explanation:

Answer:

x=sqrt(5/2)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You have the correct answer.

Answer:

123 purple

Step-by-step explanation:

164/4 = 41

41 = yellow

3 times more purple

41 x 3 = 123

Answer:

is this what you meant?

Step-by-step explanation:

Answer:

Find the gcf, greatest common factor, of 12 and 18 and solve

Step-by-step explanation:

12: 1, 2, 3, 4, 6, 12

18: 1, 2, 3, 6, 9, 18

The gcf is 6, so divide the numerator and denominator by 6.

12 / 6 = 2

18 / 6 = 3

Therefore, 12/18, when relatively prime, is 2/3

Answer:

3705.97 mi³

Step-by-step explanation:

Answer:

x

−

y

+

4

=

8

6

x

+

2

y

=

8

x

+

6

y

=

5

Step-by-step explanation:

Given:

Principal = $5,000

Rate of interest = 3.2% annual interest compounded semiannually.

Time = 10 years.

To find:

The amount after compound interest.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{100n}\right)^{nt}[/tex]

Where, P is principal, r is rate of interest, n is number of times interest compounded and t is the number of years.

Putting P=5000, r=3.2, t=10, n=2, we get

[tex]A=5000\left(1+\dfrac{3.2}{100(2)}\right)^{2(10)}[/tex]

[tex]A=5000\left(1+0.016\right)^{20}[/tex]

[tex]A=5000\left(1.016\right)^{20}[/tex]

[tex]A=5000(1.37364389)[/tex]

On further simplification, we get

[tex]A=6868.21945[/tex]

[tex]A\approx 6868.22[/tex]

Therefore, the amount after compound interest is $6868.22.

Answer: 17/21

Step-by-step explanation:

Number of cities = 42

Fraction of cities that has lake = 5/42

Fraction of cities that have rivers = 29/42

The fraction of these 42 cities that have a lake or river running through them will then be:

= 5/42 + 29/42

= 34/42

= 17/21