What is the height ? Please help, I need it! Urgent !

The value of QR in the triangle is 16 units

Recall that Congruence of triangles represents the similarity of triangles. Two triangles are congruent if their corresponding sides and angles are congruent

The question states that  ΔPML≅ΔTRQ

This implies that ML/QR = PM/TR

⇒(7x-9)/2x+2  = 35/14

Cross and multiplying we have

14(7x-9) = 35(2x+2)

=98x-126 = 70x +70

98x-70x = 70+126

⇒28x = 196

Making x the subject of the formula

x= 196/28 = 7

Recall that the side QR = 2x+2

Then by substitution,

2(7) +2

14+2 =16

This therefore keeps the side QR as 16 units.

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9514 1404 393

Answer:

  3√3 square units

Step-by-step explanation:

The area of a regular n-sided polygon with radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

For n=3 and r=2, the area is ...

  A = (3/2)(2²)·sin(360°/3) = 6·sin(120°) = 6(√3/2)

  A = 3√3 . . . . square units

_____

Alternate solution

The center of this polygon is the centroid, which divides each median into parts with the ratio 2:1. This means the given radius is 2/3 of the height of the triangle. The base of the triangle is 2/√3 times the height, so is ...

  b = (2/√3)(3) = 2√3

The area using these dimensions is calculated as ...

  A = 1/2bh

  A = 1/2(2√3)(3) = 3√3 . . . . square units

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

50 - 40 + c

50 - 40 + 4

10 + 4

14

Answer:

Yes

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\[/tex]

13cm is hypotenuse = c

a is an edge = 5cm

b is an edge = 12cm

This is a right angle triangle

Answer:

Infinitely many solutions.

Step-by-step explanation:

2 (n - 1) + 4n = 2 (3n - 1) Let's simplify this to solve it.

2n - 2 + 4n = 6n - 2 Distribute 2(n-1) and 2(3n-1)

2n + 4n - 2 = 6n - 2 Rearrange the left side of the equation.

6n - 2 = 6n - 2 Add 2n + 4n.

-6n        -6n Subtract 6n from both sides.

-2 = -2

the answer is infinitely many solutions, meaning that n can be any real number.

Answer:

Volume Original = 471 in³

Volume New = 343.36 in³

Step-by-step explanation:

Radius Original = 5

Radius New = (5) - 0.1(5) = 5 - 0.5 = 4.5

Height original = 6

Height new = (6) - 0.1(6) = 6 - 0.6 = 5.4

Volume original = 3.14 x 25 x 6 = 3.14 x  150 = 471

Volume New = 3.14 x 20.25 x 5.4 = 343.36

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

I think its 132.

The total surface area of the triangular prism is 200 cm².

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

First, find the height of the prism.

Let h is the height of the prism

Use the pythagoras theorem

then

5² = (6/2)² + h²

5² = 3² + h²

25 = 9 + h²

h² = 25 - 9

h² = 16

h =4

Now apply the surface area formula

total surface area = ( 5 + 5 + 6) 11 + 6×4

                             = 16 × 11 + 24

                             = 176 +24

                             = 200 cm²

Hence the surface area is 200 cm²

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Answer:

I don't know but you might end up with a C

Step-by-step explanation:

OR A D

Answer:

a) 2.188

b) John's rent is not an outlier

c) His rent has to be higher than $1,235 to be an outlier

Step-by-step explanation:

The mean monthly rent of students at Oxnard University is $780 with a standard deviation of $208.

(a) John’s rent is $1,235. What is his standardized z-score?

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = $1235

μ is the population mean = $780

σ is the population standard deviation = $208

Hence,

z = 1235 - 780/208

z = 2.1875

Approximately to 3 decimal place = 2.188

(b) Is John’s rent an outlier?

No it isn't

(c) How high would the rent have to be to qualify as an outlier?

John’s rent would have to be higher than $1235

Answer:

It would be the fourth one

Step-by-step explanation:

Answer:

wdym

Step-by-step explanation:

i dont get it

Step-by-step explanation:

1 reflection 2.rotation 3 reflection 4 rotation

Answer:

did somebody already answer?

I'm asking because I'm about to answer

Answer:

24

Step-by-step explanation:

h(x) = [tex]\frac{1}{2}[/tex]x - 5, x < 0   This formula would be used for h(-30). Since -30 is less than 0.

h(x) = [tex]\frac{1}{2}[/tex]x - 5, x < 0 ← You can now ignore the x<0.

h(-30) = [tex]\frac{1}{2}[/tex](-30) - 5      Input the -30 as x.

h(-30) = [tex]\frac{-30}{2}[/tex] - 5         Simplify

h(-30) = -15 - 5          Simplify further

h(-30) = -20

Next

h(x) = [tex]\frac{1}{5}[/tex]x - 2, x < 0   This formula would be used for h(30). Since 30 is greater than 0.

h(x) = [tex]\frac{1}{5}[/tex]x - 2, x ≥ 0  ← You can ignore the x≥0.

h(30) = [tex]\frac{1}{5}[/tex](30) - 2         Input the 30 as x.

h(30) = [tex]\frac{30}{5}[/tex] - 2              Simplify

h(30) = 6 - 2               Simplify further

h(30) = 4

Finally the problem is asking for h(30) - h(-30) = ?

h(30) - h(-30)    

(4) - (-20)   Substitute the value of h(30) and the value of h(-30).

4 + 20       You distribute the - sign into the parentheses. A negative times a

24             negative is a positive. That is how the equation had become 4 + 20 towards the end. Which is equal to 24.

So the answer is 24.

Answer:

 ^^

Step-by-step explanation:

Answer:

You didn't add the range. I'll use (0<x<2π)

cosx = -1/2

x=-cos-¹(1/2)

x= -60°

Cosine is negative in the second and 3rd quadrants

180-x ---- Second quadrant

x+180 ----- 3rd quadrant

So

Our answer

180-(-60)=240° or 4π/3 second quad

180+(-60) = 120° or 2π/3---- 3rd quad

Answer:

y = ±[tex]\sqrt{x-3}[/tex]

Step-by-step explanation:

step 1: substitute 'x' for 'y'

x = y² + 3

y² = x - 3

last step: solve for 'y'

y = ±[tex]\sqrt{x-3}[/tex]

Answer:

200%

Step-by-step explanation:

.1) Calculate fractions value. 2) Multiply the number by 100. 3) Add rhe percent sign % to the value. 2=2*100/100=(2*100)100=200/100=200%.

Answer:

50%

Step-by-step explanation:

40/80 = 0.5.  We multiply this decimal fraction by 100% to obtain the desired percentage:  0.5(100%) = 50%

9514 1404 393

Answer:

  no iterations shown; the root is approximately -1.12911

Step-by-step explanation:

If your method of successive approximation is the Bisection Method, and if your initial interval is [-2, -1], then successive values of x used for reducing the interval are ...

  -1.5, -1.25, -1.125, -1.1875, -1.15625

__

If your method of successive approximation is Newton's method, and if your initial guess is -1.5, then successive values of x will be ...

  -1.1905079, -1.1309053, -1.1291151, -1.1291135

Another iteration confirms this last value is accurate to 8 significant figures.

Answer:

-5/4

-9/8

-19/16

Step-by-step explanation:

This is the answer given

Answer:

x = √30

Step-by-step explanation:

For an equilateral triangle, the measure of the angle at each vertex is 60 degrees

Thus, the angle 60 faces the side measure x

Also, the given length is adjacent to the angle 60 measure

Mathematically, the trigonometric ratio that links the adjacent and the opposite is the tan

The tan is the ratio of the opposite to the adjacent

Thus;

Tan 60 = x/ root 10

x = root 10 * tan 60

x √(10 * √(3

x = √30

The length of [tex]x[/tex] is required.

The length of [tex]x[/tex] is [tex]\sqrt{30}\ \text{units}[/tex]

In an equilateral triangle the altitude divides the side into halves.

So, the hypotenuse will be [tex]\sqrt{10}+\sqrt{10}=2\sqrt{10}[/tex]

From the Pythagoras theorem we have

[tex]x^2+(\sqrt{10})^2=(2\sqrt{10})^2\\\Rightarrow x=\sqrt{(2\sqrt{10})^2-(\sqrt{10})^2}\\\Rightarrow x=\sqrt{30}[/tex]

The length of [tex]x[/tex] is [tex]\sqrt{30}\ \text{units}[/tex]

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Answer:

42.25 feet ³

Step-by-step explanation:

Volume of the box = length × width × height

Length = 6 1/2 feet = 6.5 feet

Width = 3.25 feet

Height = 2 feet

Volume of the box = length × width × height

= 6.5 feet × 3.25 feet × 2 feet

= 42.25 feet ³

Volume of the box = 42.25 cubic foot

Answer:

(goF)(-3)=21

Step-by-step explanation:

Answer:

x=0

y= x + 8

Step-by-step explanation:

find the oblique asymptotes using long polynomial divison

Answer:

A) f^5

Step-by-step explanation:

Answer:

total balls 5+4 = 9

Probability of getting blue ball in the first try

                                                                   =[tex]\frac{5}{9}[/tex]

After replacing, total number of balls  = 9

Probability of getting blue ball in the second try

                                                                  [tex]= \frac{5}{9}[/tex]

Therefore probabilty of getting 2 blue balls

                                                               =[tex]\frac{5}{9}*\frac{5}{9} =\frac{25}{81}[/tex]

Answer:

b.3

Step-by-step explanation:

the initial triangle is small and the final triangle is big so scale factor is grater than 1

the sides of the final triangle got 3 times larger so scale is 3

Answer:

The answer is AC=45

Step-by-step explanation:

it's an Isosceles triangle

Answer:

D

Step-by-step explanation:

I've attached one of those tables below

I'm going to solve this using the FV annuity formula

[tex]R(\frac{(1+i)^n-1}{i})[/tex]

where i is the effective rate of interest

r is the payment

n is the number of periods

to find the effective rate of interest we need to divide .08/2 (because the interest is compounding once every six months)

and the number of periods is 4*2 (because there are two periods a year(

[tex]1500(\frac{(1+.04)^8-1}{.04})=13821.33[/tex] which is equal to D

To use the table go to the effective rate of interest (4%) and then number of periods (8)

The number is 9.2142

mulitply that by the payment (1500) and get 13821.3 (D)

*the reason that the answers are slightly different is because the annuity table rounded whereas in the formula it was more exact*

9514 1404 393

Answer:

  D.  $13,821.30

Step-by-step explanation:

The table is given in terms of interest rate per period and number of periods. The table assumes that money is invested at the same interval that interest compounding occurs.

Since you're investing $1500 every 6 months for 4 years, the 8% annual interest rate becomes 8%·(6/12) = 4% interest each 6-month period. In 4 years, there are 8 periods of 6 months. So, you look for the multiplier shown in the table that is at the intersection of 4% interest and 8 periods.

That multiplier is 9.2142, so the future value is ...

  FV = amount invested per period × multiplier from table

  = $1500 × 9.2142 = $13,821.30

__

The above is how you use the table.

You can also choose the correct answer based only on your number sense, without bothering with the table.

You are paying into the annuity 8 payments of $1500 each. That is a total input of 8 × $1500 = $12,000. You will be earning interest on that money, so the future value of the annuity is more than $12,000. Only one answer choice fits that description:

  D.  $13,821.30

Answer:

51

Step-by-step explanation:

Given

[tex]\mu = 51[/tex]

Required

Where will the mean approach if sample size increase

Using central limit theorem, we have:

[tex]n \to \infty[/tex]

[tex]\mu \to \mu[/tex]

This means that; as n approaches infinity, the mean is almost expected to the [tex]\mu[/tex] i.e. expected to remain unchanged.

Hence, the mean value will approach 51.