A set of Triangles are Shown. Select All The acute Triangles.

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Explanation:

The diagram shows that PT = 4 and QR = 5. Since QR is a radius of the circle, this means that the other radii segments TR and RS are also 5 units long.

Note how PR = PT+TR = 4+5 = 9, and how this segment is the hypotenuse for the right triangles PQR and PRS.

Picking either triangle, we have one known leg of 5 units (the radius mentioned earlier) and the other is unknown. The unknown leg is tangent to the circle, and recall that a tangent segment is always perpendicular to the radius at the point of tangency. So that's why we have right triangles.

Apply the pythagorean theorem to find the length of PQ and PS (both are the same length)

a^2 + b^2 = c^2

a^2 + 5^2 = 9^2

a^2 + 25 = 81

a^2 = 81 - 25

a^2 = 56

a = sqrt(56)

a = sqrt(4*14)

a = sqrt(4)*sqrt(14)

a = 2*sqrt(14)

The exact length of PQ and PS is 2*sqrt(14) units.

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We have enough to find the perimeter of quadrilateral PQRS. We add up the exterior sides. That means we ignore the interior segment PR.

perimeter = PQ+QR+RS+SP

perimeter = 2*sqrt(14)+5+5+2*sqrt(14)

perimeter = 10+4*sqrt(14)

Answer is choice B

Side note: The expression above approximates to roughly 24.966629

Answer:hi

Step-by-step explanation:

Answer:

Origin of common law

The English common law originated in the early middle ages in the King's court. It did not have substantive rights but it consisted of procedural remedies. Until the 19th century, the English common law continued to be developed primarily by the judges rather than the legislature.

Answer:

A

Step-by-step explanation:

Here the base (3.2) is greater than 1 and the exponent (t) is positive.  Thus the graph will have shape A.

The correct graph for the given function h(t)=0.6×[tex]3.2^{t}[/tex] will be upward increasing so option (A) will be correct.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given function is  h(t)=0.6×[tex]3.2^{t}[/tex]

As t is increasing then the term [tex]3.2^{t}[/tex]  will also go to increase since 3.2 is greater than 1.

Hence the value of the graph will go to increase as x increases so it is clear that option (A) will be correct.

For more information about the graph of a function

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Answer:

the total sales is $18,500

Step-by-step explanation:

Given that

She guaranteed a minimum  salary of $1,500 per month plus a commission of 6.5% of total sales

Her gross pay was $2702.50

So, The total sales be

$2,702.50 = $1,500 + 6.5% of the total sales

Hence, the total sales is $18,500

The same would be considered and relevant

Answer:

5.5p-17.6

Step-by-step explanation:

-3.1p + 2(4.3p – 8.8)=-3.1p+8.6p-17.6=5.5p-17.6

Answer:

wheres the picture?

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

sub in 2 fo the x and 3 for the y

2(2) + 3(3) = 13

13 does not equal 6 so it is not true

Step-by-step explanation:

hope it is helpful to you

Answer:

2√21

Step-by-step explanation:

I basically simplify the radical by breaking the radical up into products of the know factors, assuming the real numbers.

Answer:

B and F

Step-by-step explanation:

Answer:

35.7% chance

Step-by-step explanation:

First pull is 5/8 chance, but then becasue you don't replace it next pull is 4/7, so you multiply them together

Answer:

Hello There!!

Step-by-step explanation:

You find 10% percent first which is 10(100÷10)

20%=20 (10×2=20)

hope this helps,have a great day!!

~Pinky~

Answer:

Step-by-step explanation:

The triangle's base is the diameter and height is the radius of circle.

The shaded area is:

Answer:

Solution given:

base for triangle=2r=2*9.7=19.4

height [h]=9.7

area of triangle=½base *height=½(19.4×9.7)=94.09units²

area of circle=πr²=3.14×9.7²=295.4456units²

Now

Area of shaded region=295.4456-94.09=201.3536units²

Answer:

24 1/2

Step-by-step explanation:

Answer:

look at the picture i sent

Answer:

C

Step-by-step explanation:

If you plug the coordinate pairs in, C is the only one in which keeps both equations true.

Answer:

[tex]\huge\boxed{F.\ 44}[/tex]

Step-by-step explanation:

(look at the picture)

[tex]m\angle A+m\angle D=180^o\\\\m\angle A=42^o\\m\angle D=(3x+6)^o\\\\\text{substitute}\\\\42+3x+6=180\\\\3x+48=180\\\\3x+48-48=180-48\\\\3x=132\\\\\dfrac{3x}{3}=\dfrac{132}{3}\\\\x=44[/tex]

Step-by-step explanation:

sin x = 12/16 = 0.75

x = arc sin 0.75 = 48.6°

cos x = 36/40 = 0.90

x= arc cos 0.90 = 25.8°

cos x = 10/15 = 0.6667

x= arc cos 0.6667 = 48.2°

tan x = 30/18 = 1.6667

x = arc tan 1.6667 = 59.0°

Answer:

Pizza two

Step-by-step explanation:

Given data

Pizza one

Diameter =8in

Cost =$10

Unit price= 10/8= $1.25

Pizza two

Diameter =14in

Cost =$16

Unit price= 16/14= $1.14

The better buy is Pizza two

Hello the answer is B Hope that helps!

Answer:

5x

Step-by-step explanation:

have a good day! :)

Answer:

Step-by-step explanation:

For a right triangle to exist, the sum of the squares of the lengths of the sides must equal the square of the 3rd side.

Take a look at {10, 24, 26}:  100 + 576 = 676, which is the square of 26.  So, YES, these side lengths indicate that we have a right triangle.

Answer:

3/7

Step-by-step explanation:

Answer:

3/7

Step-by-step explanation:

3/7

Step-by-step explanation:

By Basic Proportionality Theorem, the triangles UTV and USR are similar.

Let us consider RV as x.

[tex]\tt{\dfrac{39}{26} = \dfrac{33}{x}}[/tex]

[tex]\rm{x = \dfrac{33 \times 26}{39}}[/tex]

[tex]\sf{ x = 22 }[/tex] is the required answer, after simplifying it.

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Or if you want to prove it similar:-

In triangle UTV and USR,

Angle TUV = Angle SUR (common)

Angle UVT = Angle URS (Corresponding angles b/w parallel lines)

By AA similarity,

UTV =~ USR.

Hope it helps :)

Answer:

15

Step-by-step explanation:

3^3 = 27

27 - 12 = 15

Answer:

640

Step-by-step explanation:

5% of 400 is 20

20 x 12 is 240

400 + 240 = 640

Forgive me if I'm wrong. I suck at math XD

The amount for the month of December is $640.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Gabriel deposits $400 into a savings account in January If he deposits 5% more each month.

The December month deposit is calculated as,

5% of 400 is 20

20 x 12 is 240

400 + 240 = $640

Therefore, the amount for the month of December is $640.

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Answer:

a. 120

b. 336

Step-by-step explanation:

hope this helps:)

Answer:

n=4

Step-by-step explanation:

See the steps below:)

Answer: n=4

Step-by-step explanation: