What is the length of side PR?
A. 8 cm
B. 11 cm
C. V105 cm
D. V176 cm
E. V274 cm

Answer:

84

Step-by-step explanation:

180-72-24

so the answers is 84

Answer:

84

Step-by-step explanation:

In all triangles, once the angles are added up the total will be 180° and so in this case first add then subtract.

72+24=96

180-96=84

Answer:

it is brown.

Step-by-step explanation:

100%-20%-20%-10%-10%-10%=30%

most=30%

Answer:

It is brown

it is not green

Step-by-step explanation:

100%-20%-20%-10%-10%-10%=30%

yellow = 20%

orange = 10%

green = 10%

so, it is brown and it is not green.

Answer:

See attachment for drawing

Step-by-step explanation:

Given

[tex](x -5)^2 + (y + 10)^2 = 6^2[/tex]

Required

Draw and label the circle

The equation of a circle is:

[tex](x -a)^2 + (y - b)^2 = r^2[/tex]

Where:

[tex]Center = (a,b)[/tex]

[tex]Radius = r[/tex]

So, we have:

[tex]Center = (5,-10)[/tex]

[tex]Radius = 6[/tex]

See attachment for drawing

Answer:

-DE+EF

Step-by-step explanation:

this is because DE is a negative vector because we are moving against the direction

Answer:

A. 17°

Step-by-step explanation:

Recall: measure of an inscribed angle = ½(intercepted arc)

Inscribed angle = m<MTH

Intercepted arc = arc MH = 34°

Therefore,

m<MTH = ½(Arc MH)

Substitute

m<MTH = ½(34)

m<MTH = 17°

=

3

3

2

hope it's helpful for you

Answer:

x=33/2

Step-by-step explanation:

[tex]\frac{2x-7}{4}[/tex]=[tex]\frac{x+3}{3}[/tex]

do cross multiplication

4(x+3)=3(2x-7)

4x+12=6x-21

12+21=6x-4x

33=2x

33/2=x

Answer:

z = 22

Step-by-step explanation:

z - 16 = 6

z = 22

Hope this helped!

Algebra

z-16=6

z=22

what your problem in word form is saying is that sixteen less from z equals out to 6.

Answer:

the radius is equal to 3.2ft

Answer:

216

Step-by-step explanation:

Correct on Edge

The solution is: 216,  is missing number in the table of values below.

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

Given :

x = 0 ,1 ,2 ,3 , 4

y = 1 ,6 ,36 ,? , 1296

As we can see that values of y :

y = 6^0 = 1

y = 6^1 = 6

y = 6^2 = 36

y = 6^3 = 1296

so y =216 , is the solution

so, we get, the values of y is exponent of 6 as the values of x, respectively.

The equation can be given for solving the question is y = 6^x

By putting given values of x we are getting values of y .

So for x =3 we are getting y = 216

Hence, 216,  is missing number in the table of values below.

To learn more on exponent number click:

brainly.com/question/19467739

#SPJ7

Answer:

X2 -X1 / Y2 - Y1

Step-by-step explanation:

14- 4 / (-13) - (-4)

10/-9

Answer:

65 degree

35 degree

90 degree

115 degree

80 degree

Step-by-step explanation:

Answer:

A, C and G

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]

From inspection of the given right triangle:

Substitute the values into the trigonometric ratios:

[tex]\implies \sf \sin(25^{\circ})=\dfrac{a}{c}[/tex]

[tex]\implies \sf \cos(25^{\circ})=\dfrac{b}{c}[/tex]

[tex]\implies \sf \tan(25^{\circ})=\dfrac{a}{b}[/tex]

[tex]\boxed{\begin{minipage}{4 cm}\underline{Trigonometric values} \\\\$\sin(90^{\circ}- \theta)=\cos \theta$\\$\cos(90^{\circ}- \theta)=\sin \theta$\\$\tan(90^{\circ}- \theta)=\cot \theta$\\\end{minipage}}[/tex]

Using trigonometric values and the calculated trigonometric ratios:

[tex]\begin{aligned} \sf \sin(90^{\circ}- 25^{\circ})&=\sf \cos (25^{\circ})\\\implies \sf \sin(65^{\circ}) &=\sf \dfrac{b}{c}\end{aligned}[/tex]

[tex]\begin{aligned} \sf \cos(90^{\circ}- 25^{\circ})&= \sf \sin(25^{\circ})\\\implies \sf \cos(65^{\circ}) &=\sf \dfrac{a}{c}\end{aligned}[/tex]

[tex]\begin{aligned}\sf \tan(90^{\circ}- 25^{\circ})&= \sf \cot(25^{\circ})\\\implies \sf \tan(65^{\circ}) &= \sf \dfrac{1}{\tan(25^{\circ})}\\\implies \sf \tan(65^{\circ}) & = \sf \dfrac{b}{a}\end{aligned}[/tex]

Therefore, the true equations are:

[tex]\sf A: \quad \cos(25^{\circ})=\dfrac{b}{c}[/tex]

[tex]\sf C: \quad \sin(65^{\circ})=\dfrac{b}{c}[/tex]

[tex]\sf G: \quad \sin(25^{\circ})=\cos(65^{\circ})[/tex]

Given:

In ΔJKL, m∠L=90°, JL = 80, KJ = 89, and LK = 39.

To find:

The value of sine of ∠J.

Solution:

In a right angle triangle,

[tex]\sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

In triangle JKL,

[tex]\sin J =\dfrac{LK}{KJ}[/tex]

[tex]\sin J =\dfrac{39}{89}[/tex]

[tex]\sin J =0.4382[/tex]

[tex]\sin J \approx 0.44[/tex]

Therefore, the value of sine of ∠J is about 0.44.

35 cows / 15 cows = 2.3333

21 goats x 2.333 = 49

The answer is 49

Answer:

Number of Goats = 49

Step-by-step explanation:

Let the number of goats be = x

 Goats          Cows

   21                15

    x                 35

[tex]\frac{21}{x} = \frac{15}{35}\\\\15 \times x = 21 \times 35\\\\x = \frac{21 \times 35}{15} = 7 \times 7 = 49[/tex]

49 goats eat as much as 35 cows.

Answer:

sylvia is 14 and brother is 7

Step-by-step explanation:

theres a seven year difference, and sylvia is twice as old as him, so that means that sylvia is 14 and her brother is 7

Answer:

45 mph

251 ft

Step-by-step explanation:

[tex] s = \sqrt{30fl} [/tex]

a.)

[tex] s = \sqrt{30(0.85)(80)} [/tex]

[tex] s = \sqrt{2040} [/tex]

[tex] s = 45 [/tex]

Answer: 45 mph

b.)

[tex] 80 = \sqrt{30(0.85)l} [/tex]

[tex] 80^2 = (\sqrt{25.5l})^2 [/tex]

[tex] 25.5l = 6400 [/tex]

[tex] l = 251 [/tex]

Answer: 251 ft

Answer:

80% decrease in the quantity over 7 days

Step-by-step explanation:

Given data

We have the function

f (t) = 310(0.2)24

the above function is similar to the exponential function

f (t) = P(1±r)^t

Now the value 0.2

This means that there is  80% decrease in the quantity over 7 days

Answer: 11.20

Step-by-step explanation:

Divide. 56.00 ÷ 5 = 11.20 therefore each shirt cost 11.20 Hope that helps!

Answer:

Divide.

Answer : option B

Step-by-step explanation:

Cost             Number of shirts

 56                      5

  x                        1

 [tex]\frac{56}{x} = \frac{5}{1}[/tex]

[tex]5 \times x = 56 \times 1\\\\x = \frac{56}{5} = 11.20[/tex]

Answer:

X - 7 = - 3

X = - 3 + 7

X = 4

the 7 turns positive because it was moved to the other side of the symbol "=" so we reverse the sign

- becomes +

and

+ becomes -

Answer:

Expected value is 4,000

Step-by-step explanation:

To find expected value ⇒ multiply the value by it's probability

40% × ( -25,000 ) = - 10,000

Breaking means neither add nor subtract a given amount

20% × 0 = 0

35% × 40,000 = 14,000

∴ Expected value = -10,000 + 14,000 = 4,000

LOSS:                   -10,000

BREAK EVEN:       0

WIN:                       14,000

Expected value is 4,000

hope this helps....

Answer:

the answer is 31°...........

Answer:

Solution given:

Volume of cone=⅓πr²h

Volume of cylinder=πr²h

1.

volume =πr²h=π*(10/2)²*6=471.23mm³

2.

Volume =πr²h=π*8*12.5=314.16in³

3.

volume =⅓πr²h=⅓*π*4²*3=50.26cm³

4.

Volume =⅓πr²h=⅓*π*(8/2)²*12=201.06in³

Answer:

devide by 1000 is answer

Answer:

divide by 1000

Step-by-step explanation:

1m=1000mm

? = 10mm

10m*1m/1000

=

Answer:

288

Step-by-step explanation:

Take the area of every individual section, and add them together.

24

24

100

80

60

Answer:

38

Step-by-step explanation:

2 + 3^2 (5 - 1) ​

PEMDAS says parentheses first

2 + 3^2 (4) ​

Then exponents

2 + 9 (4) ​

Then multiply

2+36

Then add

38

Answer:

38

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

{ 1 [tex]\frac{1}{4}[/tex] = 5/4 }

1 [tex]\frac{1}{4}[/tex] * 42/3 = 5/4 * 42/3

= 210/12

= 17.5

Answer:10.6

Step-by-step explanation: