61,229 rounding this

Answer:

Step-by-step explanation:

angle P=angle R(being vertically opposite angle)

angle P=38 degree

angle P + angle Q=180 degree(given they are supplementary angles)

38 + angle Q=180

angle Q=180-38

angle Q=142 degree

[tex]\boxed{17}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Substituting the values of a, b and c in the expression, we have

[tex] {a}^{3} - (b + c) \\ = ( {3})^{3} - (4 + 6) \\ = (3 \times 3 \times 3) - (10) \\ = 27 - 10 \\ = 17[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

17 ( See image below:)

Step-by-step explanation:

you substitute what a is which is 3

then b=4

then c=6

so

3^3-(4+6)

Answer:

Adding, Substracting, multiplication and division. If you add the same number to both sides of an equation, both sides will remain equal.

Step-by-step explanation:

Options for the question:

a. one mean

b. comparing means from dependent samples

c. comparing means from 2 independent samples

d. one proportion e. comparing proportions from 2 independent samples

f. comparing proportions from dependent samples

Answer:

b. comparing means from dependent samples

Explanation:

The samples are dependent as same individuals are sampled over the months(August and November). Therefore individuals sampled in August will likely show some of the same traits in November. Also we are comparing means since we are working with mean of alcohol consumed for each period and then comparing with another period/months.

Answer:

See Explaination

Step-by-step explanation:

According To Question

(Diagram, Please Find In Attachment)

Question 38 . Cos ∅ = 12/13   ∅ in Quadrant-4(Where only Cos & Sec are Positive all other Functions Are Negative in this Quadrant)

Now ∅ Represent a Right Angle Triangle with Base=12 Perpendicular=5 & Hypothenese=13

Sin∅ = -5/13 , Cosec∅=-13/5 , Tan∅=-5/12 , Cot∅=-12/5 & Sec∅=13/12

Question 39 . SinX=-3/4   X Lies in Quadrant-3(Where only Tan & Cot are Positive all other Functions Are Negative in this Quadrant)

Find By Using Basic Formulas

[tex]SinX^{2}+CosX^{2}=1[/tex] ↔ Put Value of Sin∅=-3/4

We get CosX= ±[tex]\frac{\sqrt{5} }{4}[/tex] (but X Lies in Quadrant-3 Where Cosine Is Negative , So Neglect CosX= +[tex]\frac{\sqrt{5} }{4}[/tex])

So CosX= -[tex]\frac{\sqrt{5} }{4}[/tex] ...... now you get the point . All Questions Will Solve like This .

Answer:

22.5

Step-by-step explanation:

Inscribed Angle =1/2 Intercepted Arc

F = 1/2 (45)

<F = 22.5

Answer:

C. AA

Step-by-step explanation:

AA or angle - angle similarity is a principal which states that if triangles have two congruent sets of angles, then they are similar.

Answer:

The area of the living room is 20x20 or 400 square feet

the area of the dining room is 15x10 or 150 square fee

The sum of the areas of the two rooms is 400+150 or 550 square feet of carpeting

Hope that helps :)

Have a wonderful day!

Answer:

the area of the living room is 20 x 20 or 400 square feet the area of the dining room is 10 x 15 or 150 square feet the sum of the two rooms is 400 + 150 or 550 square feet of carpeting

Step-by-step explanation:

Answer:

66.32

Step-by-step explanation:

Hello!

[tex]\large\boxed{66.32 m}[/tex]

We are given the area, so we can solve for the width given the length:

A = l × w

Thus:

272.4 = 15 × w

w = 18.16 m

The perimeter of a rectangle can be calculated using this equation:

P = 2l + 2w

Therefore:

P = 2(15) + 2(18.16)

P = 30 + 36.32 = 66.32m

Answer:

Angle BAC corresponds with side length BC

Side length AC will correspond with angle ABC

Step-by-step explanation:

In a triangle, the side length will correspond to the angle opposite it and vice versa.

That is, the side length opposite angle A corresponds to the side of Angle A

Hence, in the triangle given above ;

Angle BAC corresponds with side length BC, because BC is opposite BAC

Side length AC will correspond with angle ABC, because AC is directly opposite angle ABC.

Answer:

[tex]2[/tex]

Step-by-step explanation:

Given:

[tex]-2(1-4x)=3x+8[/tex]

Let's distribute the parenthesis

[tex]-2+8x=3x+8[/tex]

Let's subtract [tex]-3x[/tex] from both sides

[tex]-2+5x=8[/tex]

Let's add [tex]2[/tex] to both sides

[tex]5x=10[/tex]

Now, let's divide both sides by [tex]5[/tex] to get [tex]x[/tex] alone

[tex]x=2[/tex]

Hope this is helpful

Step-by-step explanation:

How to solve your problem

−2(1−4)=3+8

-2(1-4x)=3x+8−2(1−4x)=3x+8

Solve

1)

Rearrange terms

−2(1−4)=3+8

-2({\color{#c92786}{1-4x}})=3x+8−2(1−4x)=3x+8

−2(−4+1)=3+8

-2({\color{#c92786}{-4x+1}})=3x+8−2(−4x+1)=3x+8

2)

Distribute

−2(−4+1)=3+8

{\color{#c92786}{-2(-4x+1)}}=3x+8−2(−4x+1)=3x+8

8−2=3+8

{\color{#c92786}{8x-2}}=3x+88x−2=3x+8

3)

Add 

2

22

 to both sides of the equation

8−2=3+8

8x-2=3x+88x−2=3x+8

8−2+2=3+8+2

8x-2+{\color{#c92786}{2}}=3x+8+{\color{#c92786}{2}}8x−2+2=3x+8+2

4)

Simplify

Add the numbers

Add the numbers

8=3+10

8x=3x+108x=3x+10

5)

Subtract 

3

3x3x

 from both sides of the equation

8=3+10

8x=3x+108x=3x+10

8−3=3+10−3

8x{\color{#c92786}{-3x}}=3x+10{\color{#c92786}{-3x}}8x−3x=3x+10−3x

6)

Simplify

Combine like terms

Combine like terms

5=10

5x=105x=10

7)

Divide both sides of the equation by the same term

5=10

5x=105x=10

55=105

\frac{5x}{{\color{#c92786}{5}}}=\frac{10}{{\color{#c92786}{5}}}55x=510

8)

Simplify

Cancel terms that are in both the numerator and denominator

Answer:

(60.382 ; 83.998)

Step-by-step explanation:

The confidence interval is given as :

Mean ± Margin of error

Mean = 72.19

The margin of error is : Tcritical * s/√n

n = 13 ; s = 15.88

Tcritical at 98%, df = 13-1 = 12 = 2.681

Margin of Error = 2.681 * 15.88/√13 = 11.808

Confidence interval = 72.19 ± 11.808

(60.382 ; 83.998)

Answer:

Proportional

Step-by-step explanation:

Proportional functions can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportionality. Plugging in (x,y) pair into this function will yield a constant of proportionally of [tex]k=\frac{3}{2}[/tex] and since this constant is maintained through all the coordinate pairs in the table, the table is proportional.

Answer:

the first one , one below it and the one beside the one below it

Step-by-step explanation:

Answer:

sorry I don't Know

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

[tex] \large{ \tt{ ↦ AREA\: OF \: SMALL \: RECTANGLE= L \times W = 14 \times 12 = \boxed{ \tt{168 \: {ft}^{2} }}}}[/tex]

[tex] \large{ \tt{↦AREA \: OF \: BIG \: RECTANGLE = L \times W = 20 \times 19 = \boxed{ \tt{380 \: {ft}^{2} }}}}[/tex]

[tex] \large{ \tt{☄ \:TOTAL \: AREA = AREA \: OF \: SMALL \: RECTANGLE + AREA \: OF \: BIG \: RECTANGLE}}[/tex]

[tex] \large{ \tt{⇢168 \: {ft}^{2} + 380 \: {ft}^{2} }}[/tex]

[tex]⇢ \boxed {\boxed{ \large{ \tt{548 \: {ft}^{2} }}}}[/tex]

♡Hope I helped! ツ

☼Have a wonderful day / evening !☃

# StayInAndExplore !☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

-8

Step-by-step explanation:

-3x + 7x - 8 = 34 + 9x - 2

-3x + 7x - 9x = 34 - 2 + 8

-5x = 40|: (-5)

x = -8

[tex]{ \bf{ \underbrace{ The\:value\:of\:x\:is\:-8.}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] - 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ 4x - 9x = 32 + 8 \\ ⇢  - 5x = 40 \\ ⇢ x = \frac{40}{ - 5} \\ ⇢ x = - 8[/tex]

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex] - 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ - 3 \times - 8 + 7 \times - 8 - 8 = 34 + 9 \times - 8 - 2 \\ ⇢24 - 56 - 8 = 34 - 72 - 2 \\ ⇢24 - 64 = 34 - 74 \\ ⇢ - 40 = - 40 \\ ⇢L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

±3/5

Step-by-step explanation:

±sqrt(9/25)

We can separate this into

± sqrt(9) / sqrt(25)

Since these are perfect squares

±3/5

Answer:

Gary spends a total of $166.05

Step-by-step explanation:

15% tip: would be 15% of 135, so 0.15 times 135, which would be $20.25 for the tip before tax

8% tax: would be 8% of 135, so 0.08 times 135, which would be $10.8

Then we add $20.25+$10.8+$135= $166.05

Hope I helped, please correct me anywhere you think I may have messed up if I did make mistakes.

Answer:

56 but i could be wrong

Step-by-step explanation:

Answer:

its 4 or B for the value of X

Answer:

D. merit pay

An increase in pay because of how well you do a job is called merit pay.

Explanation:

Merit pay refers to performance-related pay which provides bonuses or base pay increases for employees who hit the target or perform their jobs effectively, according to measurable criteria over a predetermined period of time.

Answer: 16^2 + 12^2

Step-by-step explanation:

20^2 = 400

16 x 16 = 256

12 x 12 = 144

256 + 144 = 400

Answer:

.321428571

Step-by-step explanation:

P(blue shirt | girl)

This means what is the probability of a blue shirt given that we have a girl

There are 56 girls and 18 girls wearing blue shirts

P(blue shirt | girl) = girls in blue shirts / girls

                            = 18/56

                               =.321428571

Answer:

x =150 men

Step-by-step explanation:

Think of the total as workdays

125men* 120days = 15000 workdays

We still need 15000 workdays

100 days * x = 15000workdays

Divide by 100

x = 15000/ 100

x =150 men

Answer:

150 men

Step-by-step explanation:

120 × 125 = 15000

15000 ÷ 100

150

9514 1404 393

Answer:

  total cooling was 252 degrees

Step-by-step explanation:

  quantity = rate × time

The total temperature change is ...

  (-6°/h)(42 h) = -252°

The total change in temperature was a cooling of 252 degrees.

Answer:

188 children, 190 adults

Step-by-step explanation:

For this equation, let c be the number of children, and a represent the number of adults.

On this day 378 total people were at the park, so

a + c = 378   eq 1

Each adult pays $4, so the admission fee for ALL adults will be $4 multiplied by the number of adults , a, so 4a

Use the same method for the children, and the total all children paid is 1.50c

From all the children and adults, the total was 1042, so merge the 2 cost variables together.

4a + 1.50c = 1042   eq 2

the 2 equations we will use are

a + c = 378

4a + 1.50c = 1042

From equation 1, subtract c from both sides, and

a = 378 - c     eq 3

Substitute the value of a in eq 3 into equation 2

4a + 1.50c = 1042

4 (378 - c) + 1.50c = 1042

1512 - 4c +1.50 c = 1042 (collect like terms)

1512 - 1042 = 4c -1.50 c

470 = 2.5 c

c = 470 /2.5

c = 188 children

Substitute the value of c into eq 3 to get the value of a

a = 378 -c

a = 378 - 188

a = 190 adults

Answer:

D. 12 units

Step-by-step explanation:

l6l+l-6l=12

add the absolute values.

Answer:

c = 7p

Step-by-step explanation:

i think

Answer:

-74

Step-by-step explanation:

f(x) = -2x^2 +8x -10

Let x = -4

f(-4) = -2 ( -4)^2 +8(-4) -10

     = -2(16) -32-10

     = -32 -32-10

    = -74