What Kind of Triangle is shown?

A. Isosceles Triangle

B. Acute Triangle

C. Scalene Triangle

D. Equilateral Triangle

Answer:

Perimeter of ΔPRS = 35.91 units

Step-by-step explanation:

From the figure attached,

By applying triangle sum theorem in the given triangle PRS,

m∠P + m∠R + m∠S = 180°

45° + m∠R + 60° = 180°

m∠R = 75°

By applying sine rule,

[tex]\frac{\text{sinP}}{RS}= \frac{\text{sinS}}{PR}=\frac{\text{sinR}}{PS}[/tex]

[tex]\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}=\frac{\text{sin}(75^{\circ})}{PS}[/tex]

[tex]\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}[/tex]

PR = 12.25 units

[tex]\frac{\text{sin}(45^{\circ})}{10}=\frac{\text{sin}(75^{\circ})}{PS}[/tex]

PS = 13.66 units

Perimeter of triangle PRS = PR + PS + RS

                                            = 12.25 + 13.66 + 10

                                            = 35.91

Answer:

O . A) -3, 0 , 3

Step-by-step explanation:

Since y is equal to

[tex] \sqrt[3]{x} [/tex]

Just replace X with the values in the first box

Answer:

It's C

X = -3

Step-by-step explanation:

Edge 2022

The equation represents the directrix is x=-3.

the correct option is (C).

A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola, and the line is called the directrix . The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.

given: y²=12x

y²=4*3*x

Here a=3

So, x+a=0

x+3=0

x=-3.

Hence, the directrix of parabola is: x=-3

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Answer:

D) (2,-1)

Step-by-step explanation:

These are two concentric circles of radius 3 and 4 at the origin. That means that any point within the inner is also within the outer. So focusing on the inner, the points plugged into its equation must be less than or equal to the radius squared or 9. That is only valid with point D.

Answer:

c on edge

Step-by-step explanation:

Answer:

$425

Step-by-step explanation:

Let x represent the number of bracelets made and let y represent the number of necklace made.

Since the craftsman has 1000 beads to work with, hence:

10x + 20y ≤ 1000    (1)

Also, the craftsman has 1600 minutes, hence:

10x + 40y ≤ 1600   (2)

From ploting equations 1 and 2 on the geogebra online graphing, we can see that the solution to the problem is (40, 30).

Since the bracelet costs $5 and a necklace costs $7.50, hence the maximum revenue is:

Revenue = 5x + 7.5y = 5(40) + 7.5(30) = $425

Answer:

18c - 30d + 36

Step-by-step explanation:

To apply the distributive property, we must "distribute" (multiply) the outer term by the terms in the parentheses. In this case, the outer term is 6, and the inner terms are 3c, 5d, and 6. Then, if there's any like terms, you must combine them.

6(3c - 5d + 6)

(6 · 3c) + (6 · -5d) + (6 · 6)

18c + -30d + 36

As you can see, there's no like terms in this expression, so the equivalent expression to 6(3c - 5d + 6) is 18c + -30d + 36.

Answer:

-2 is an extraneous solution because it creates 0 in the denominator.

There is one acceptable solution to the equation

Step-by-step explanation:

x² + 5x + 6 = x² + 2x + 3x + 6

                  = x(x + 2) + 3(x + 2)

                  = (x + 2)(x + 3)

[tex]\frac{x}{x+2}+\frac{2}{x^{2}+5x+6}=\frac{5}{(x+3)}\\\\\frac{x}{x+2}+\frac{2}{(x+2)(x+3)}=\frac{5}{(x+3)}\\\\\frac{x*(x+3)}{(x+2)(x+3)}+\frac{2}{(x+2)(x+3)}=\frac{5*(x+2)}{(x+3)(x+2)}\\\\\frac{x^{2}+3x+2}{(x+2)(x+3)}=\frac{5x+10}{(x+3)(x+2)}\\\\[/tex]

x² + 3x + 2 = 5x + 10

x² + 3x - 5x + 2 - 10 = 0

x² - 2x - 8 = 0

x² + 2x - 4x - 8 = 0

x(x + 2) - 4(x + 2) = 0

(x + 2)(x - 4) = 0

x +2 = 0    or x - 4 = 0

x =  - 2    or x = 4

Step-by-step explanation:

I don't have a calculator with me right now but I can give you the equation to work out your answer.

cos-1(35/38)

There should be a function of "cos-1" on you're calculator, not just "cos"

hope it helps :)

Answer:

Extracting out that inner right angle.

Hypotenuse = 8

Height = h

Adjacent :

[tex] = \frac{10}{5} = 2[/tex]

Height, h :

[tex]{ \tt{h = \sqrt{ {8}^{2} - {5}^{2} } }} \\ { \tt{h = \sqrt{64 - 25} }} \\ { \tt{h = \sqrt{39} }} \\ the \: height \: is \: { \boxed{6.2}} \: units[/tex]

Hello!

Answer: C. x² - 64 - 0

Good luck! :)

Answer:

b = 5

Step-by-step explanation:

△STR ≅ △LMN

This means the corresponding sides are equal.

SR and LN are corresponding sides.

SR and LN are equal.

The value of b is 5.

The value of SR is 43

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

△STR ≅ △LMN

This means the corresponding sides are equal.

SR = 7b + 8

LN = 11b − 12

SR and LN are corresponding sides.

SR and LN are equal.

So,

7b + 8 = 11b − 12

Subtract 7b on both sides.

8 = 11b - 7b - 12

Add 12 on both sides.

8 + 12 = 4b

20 = 4b

b = 20/4

b = 5

Now,

SR:

= 7b + 8

= 7 x 5 + 8

= 35 + 8

= 43

Thus,

The value of b is 5.

The value of SR is 43

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Answer:

• Shanna had $10 in her piggy bank and earned $5 each week in allowance.

Step-by-step explanation:

Week 0 dollars = 10

This means Shanna had $10 her piggy bank before the week started

Week 2 dollars = 20

Her account has increased from 10 to 20 dollars in two weeks. This means she is earning

Amount earned per week = change in earnings / change in week

= 20 dollars - 10 dollars / Week 2 - week 1

= 10 dollars / 2 weeks

= 5 dollars per week

Amount earned per week = $5

Therefore,

• Shanna had $10 in her piggy bank and earned $5 each week in allowance

Answer:

option b

Step-by-step explanation:

cuz its the only one that makes sense

Answer:

-55/3

Step-by-step explanation:

-3/11 x1/5

-3/55

Multiplicative inverse means Reciprocal of -3/55 [That means the numerator goes to the denominator and the denominator to the numerator]

=> -55/3

Answer:

The slope is undefined

Step-by-step explanation:

Since x doesn't have an existing value it leaves the slope as undefined.

If 180° < θ < 270°, then 90° < θ/2 < 135°, which places θ/2 in the second quadrant so that sin(θ/2) > 0 and cos(θ/2) < 0.

Recall that

cos²(θ/2) = (1 + cos(θ))/2

==>   cos(θ/2) = -√[(1 + (-15/17))/2] = -1/√17

and

sin²(θ/2) = (1 - cos(θ))/2

==>   sin(θ/2) = +√[(1 - (-15/17))/2] = 4/√17

Then

tan(θ/2) = sin(θ/2) / cos(θ/2)

… = (4/√17) / (-1/√17)

… = -4

Answer:

$2475  or $1875

Step-by-step explanation:

Assuming the question meant to say $25 less than the original price, it would be $2475 because $2500-$25= $2475

However, if the question meant to say that Sam bought the iron for 25% less than the original price, it would be $1875 because 2500*0.25= $625

$2500-$625= $1875

Answer:C

Step-by-step explanation:

Answer:

The correct choice is (A)

Answer:  

A.

an=100 · (0.64)n−1a subscript n baseline equals 100 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; about 10.74 cm

Step-by-step explanation:  I got it off of the internet

Step 1 of 1

In geometric sequence, the ratio between two consecutive terms is constant. This ration is called the common ratio.

Consider the following sequence:

Thus the common ratio of the sequence is .

...............................................................................................................................................

You drop a handball from a height of 1 meter. Each curved path has 64% of the height of the previous path.   A. A(n)= 100*(0.64)^n-1

Answer:

rs.6,300

Step-by-step explanation:

Simple Interest, S.I. = Rs. 1260 =  

100

PR×2

​  

 =    

50

PR

​  

          -(i)

Compound Interest, C.I. = Amount(A) - Principle(P)

=P(1+  

100

R

​  

)  

2

 - P = PR(R/10000+1/50)=Rs.1323         -(ii)

Dividing (ii) by (I),

200

R

​  

+1 =  

1260

1323

​  

⇒Rate,R=10%p.a.

Now,  

100

PRT

​  

=1260

⇒  

100

P×10×2

​  

=1260

The amount of money that we need to deposit in the bank to get RS 1225 is RS 1100.03.

Compound interest is applicable when there will be a change in principal amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount.

Suppose we need to deposit the P amount to get RS 1225

By compound interest formula,

1125 = P(1 + 0.05)^(9/2)

P = RS 1100.03

Hence "We need to deposit Rs. 1100.03 in the bank in order to receive Rs. 1225".

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Answer:

sin X =35/37

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin X = opp side / hypotenuse

sin X =35/37

Answer:

[tex]5^{18}[/tex]=3,814,697,265,625

Step-by-step explanation:

Multiply the exponents

3×6=18

[tex]5^{18}[/tex]

Answer:

Simplest value of given expression = 5¹⁸

Step-by-step explanation:

Given algebraic equation;

[5³]⁶

Find:

Simplest value of given expression

Computation:

Given fraction [5³]⁶

Using Property of exponents

[Xᵃ]ᵇ = X ᵃ ˣ ᵇ

So,

Using Property of exponents

⇒ [5³]⁶

⇒ 5 ³ ˣ ⁶

⇒ 5¹⁸

Simplest value of given expression = 5¹⁸

Answer:

A reflection across the x axis

Step-by-step explanation:

Parallelogram ABCD was reflected across the x axis to create parallelogram A'B'C'D'

Answer:

The proportional relationship is same

Step-by-step explanation:

Generally, we can get the unit rate by dividing the y-value by the x-value

This will be;

9/2 or 18/4 or 27/6 = 4.5

from what we have y = 4.5x

Now, as we can see, the proportional relationship is same

Answer:

The third option with the right angle

Step-by-step explanation:

By creating a perpendicular line through the line of reflection (the orange dotted line) and the point "D" we can measure the distance of D from the line of reflection. Then draw "D'" using the distance of the "D" from the line of reflection.

Angle 2 and Angle 4 are same-side interior angles, which are supplementary.

(2x + 10) + (4x + 80) = 180

6x + 90 = 180

6x = 90

x = 15

Hope this helps!

Answer:

X = 15

Step-by-step explanation:

Angle 2 = Angle 3 since they are alternate angles

Now, angle 3 and 4 should add up to 180 since they are on a straight line

∴ (2x + 10) + (4x + 80) = 180

   6x + 90 = 180

     6x = 180 - 90

     6x = 90

       x = 15

HOPE THIS HELPS

Answer:

Step-by-step explanation: