(5) Find the value of the variable. The diagram is not to scale.

Answer:

b

Step-by-step explanation:

Answer:

[tex] \sqrt{ {8}^{2} +{10}^{2} } = \sqrt{64 + 100} = \sqrt{164} =2\sqrt{41}\\ =\boxed{12.8\: units} [/tex]

The diagonal length of the rectangular book is 12.8 units.

A rectangle is "four sided polygon, having all the internal angles  is equal to 90 degree. The two sides of each corner is right angles".

According to the question,

The length of rectangle is 8 units and the breadth of rectangle is 10 cm.

To find diagonal of the rectangle: Using Pythagoras theorem a² + b² = c².

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

  = [tex]\sqrt{8^2 + 10^2}[/tex]

  = [tex]\sqrt{64 + 100}[/tex]

  = [tex]\sqrt{164}[/tex]

  = 2[tex]\sqrt{41}[/tex]

  = 12.8 units

Hence, the diagonal length of the rectangular book is 12.8 units.

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Answer:

C=0.75×p

hope it helps.

Answer:

6 3/5 points

Step-by-step explanation:

Steve is creating a web page.

Step 1

He starts with a font of 5 9/10 points and decreases it by 1/2.

Hence: Current font

= 5 9/10 - 1/2

= 5 + ( 9/10 - 1/2)

Lowest common denominator

= 10

= 5 + (9 - 5/10)

= 5 + 4/10

= 5 + 2/5

= 5 2/5 points

Step 2

He decreases it again by 6/10 points.

Current fonts

= 5 2/5 - 6/10

= 5 + ( 2/5 - 6/10)

Lowest common denominator

= 10

= 5 + (4 - 6/10)

= 5 + (-2/10)

= 5 - 1/5

= 4 4/5 points

Step 3

Steve then realizes that the font is to small to read easily and increases it by 1 4/5 points.

New font

= 4 4/5 points + 1 4/5 points

Lowest common denominator = 5

= 4 + 1 + (4/5 + 4/5)

= 5+ ( 4 + 4/5)

= 5 +(8/5)

= 6 3/5 points

The best estimate of the font's final size is 6 3/5 points

Answer: 8/7752

Step-by-step explanation:

Since we are told that the bag contains 5 red marbles, 8 white marbles, and 7 blue marbles. The total number fo marbles would be:

= 5 + 8 + 7

= 20 marbles

If 4 marbles out at random, without replacement, the probability that all the marbles are red would be:

= 5/20 × 4/19 × 3/18 × 2/17

= 1/4 × 4/19 × 1/6 × 2/17

= 8/7752

Answer :x=3 y=7 (3,7)

Step-by-step explanation: I took algebra last year and I answered your question earlier.

Answer:

x-y+1 = 0

Step-by-step explanation:

Replace x & y of each coordinates into the function then you'll get the answer.

Answer:

AC=3x+11

Step-by-step explanation:

ok so AC is Both AB AND BC combined

2x-2+x+13=AC

3x+11=AC

AC=3x+11

Answer:

(2x-2) + (x+13)=6x+2 (take the lengths of AB and BC added together, and put equal to the value of AC)

3x+11 =6x+2 (drop the parenthesis and combine like terms on the left side)

-3x +11 =2 (subtract 6x from both sides and then subtract 11 from both sides)

-3x = -9 (divide both sides by -3 to find what x is)

x=3 (take the x value and plug it into the expression to find the length of AC)

6(3)+2 (multiply)

18+2 (add)

20 (this is the length of AC, and what you put in the box)

Step-by-step explanation:

i hope this helps :)

Answer:

Explanation below

Step-by-step explanation:

First determine the slope using (y2-y1)/(x2-x1)

Then set up point slope form and add in an ordered pair for x and y to determine the y intercept: y - y1 = m(x - x1). Solve for y and you'll end up with slope intercept form.

For example: (-2,1), (3,2) find slope and y intercept.

(2-1)/(3-(-2))= 1/5

y-2=.2(x-3)

y=.2x-.6+2

y=.2x+1.4 or y=(x/5)+(7/5)

Answer: -4

Step-by-step explanation:

Answer:

I'ma assume B because it's the only graph I see

Answer:

$11.25

Step-by-step explanation:

you take 75% of 15

Answer:

11.25

Step-by-step explanation:

because I used a calculator

Answer:

=384

Step-by-step explanation:

Answer:

Initial values of Athlete a and b is 16 and 12 respectively. That means, Athlete a start with more push-ups as compared to athlete b

Step-by-step explanation:

Athlete a perform 16 push-ups  to start and increase 1 push-up each day for 14 days

⇒ number of push-ups at the end of x days is for Athlete A is

n = number of push-ups for athlete A= 16 + x

Athlete b perform 12 push-ups  to start and increase 3 push-up each day for 14 days

⇒ number of push-ups at the end of x days is for Athlete B is

m = number of push-ups for athlete B = 12 + 3x

where x is the number of days

thus, total number of athletes at the end of 14 day is

n = 16+14 = 30 push-ups for athlete A and m = 12 + 42 = 54 push-ups for athlete B at the end of 14th day

Now similarly for the initial day x = 0

thus, total number of athletes at the starting of 1st day is

n = 16+0 = 16 push-ups for athlete A and m = 12+0 =12 push-ups for athlete B at the starting of 1st day.

That means, Athlete a start with more push-ups as compared to athlete b, But at the end of 14th day Athlete b do more push-ups then athlete a

Answer: The initial value for Athlete A is greater.

Pay attention for the keyword initial value.

I got no explanation D:

Answer:

D

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

The given equation equals 3072, so find the other equation that equals 3072.

Option 1 = 3072 - correct

Option 2 = 432 - wrong

Option 3 = 2883 - wrong

Option 4 = 432 - wrong

I hope this helps!

Answer:

bghjgkk7686968679

hjkggkhk67896869

ghjkgh

Step-by-step explanation:

hjkh7689

Answer:

29, 5/24 ,64

Step-by-step explanation:

27) x-9=20

x=20+9

x=29

28) 1/3*5/8

1*5/3*8

5/24

29) 4*4*4

4*4=16

16*4

64

Answer:

I am pretty sure that the answer to this question is A: comunative property of addition

Step-by-step explanation:

I'm 99% sure

I'm sorry if it turns out to be wrong

cause I have not yet finished the test

Answer:

D. 25

Step-by-step explanation:

By geometric mean property:

[tex] {(12)}^{2} = LM\times JM \\ \\ 144 = LM\times16 \\ \\ LM = \frac{144}{16} \\ \\ LM = 9 \\ \\ [/tex]

JL = JM + LM = 16 + 9 = 25

Answer:

3

Step-by-step explanation:

[tex] | - 3| = 3[/tex]

Hope it helps you in your learning process.

the answer is 0.30 your welcome

Answer:

No

yes

no

yes

Step-by-step explanation:

your welcomeeeeeeeee

Answer:

52 students ride a bus to school

Step-by-step explanation:

Step 1: Our output value is 260.

Step 2: We represent the unknown value with x.

Step 3:  From step 1 above $260 = 100%.

Step 4: Similarly, x = 20%.

Step 5: This results in a pair of simple equations:

260 = 100%(1).

x = 20%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

[tex]\frac{260}{x}[/tex] = [tex]\frac{100}{20}[/tex]%

Step 7: Again, the reciprocal of both sides gives

[tex]\frac{x}{260}[/tex] = [tex]\frac{20}{100}[/tex]

⇒x=52$

Therefore, 20% of 260 is 52.

Hope this helps! :)

BRAINLIEST PLEASEEE

The number of students who ride a bus is 52.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total number of students = 260

The number of students who ride a bus.

= 20% of 260

= 1/5 x 260

= 52

Thus,

The number of students who ride a bus is 52.

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Answer:

The answer is C, 296. 73

Step-by-step explanation:

Top Surface Area =  π×4.52

=  63.617251235193 inches2

Bottom Surface Area =  π×4.52

=  63.617251235193 inches2

Lateral Surface Area =  2π×4.5×6

=  169.64600329385 inches2

Total Surface Area = 296.88050576424 inches2

Answer:

The answer is

[tex]y = - 4x + 6[/tex]

Step-by-step explanation:

Negative reciprocal for the slope.

The equation of the perpendicular line will be y = -4x + d. Then the correct option is C.

Let the equation of the line be y = mx + c. Then the equation of the perpendicular line that is perpendicular to the line y = mx + c is given as y = -(1/m) + d. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given as,

y = (1/4)x - 3

The slope of the line is 1/4. Then the slope of the perpendicular line will be - 4. Then the equation of the line is given as,

y = -4x + d

The equation of the perpendicular line will be y = -4x + d. Then the correct option is C.

More about the equation of a perpendicular line link is given below.

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Answer:

-88

Step-by-step explanation:

11*8=88 put the negative sign with it and you get -88

Answer:

the answer is -88

Step-by-step explanation:

Hope this helps you so glad that I could help

Answer:

[tex]\huge\boxed{-13, 21}[/tex]

Step-by-step explanation:

The most common way to solve for the roots of a polynomial is to use the Quadratic formula, which will return us with two values of x that make the equation equal 0.

...however, this form of the equation is already in root form. If we multiplied these two terms, we'd get [tex]x^2 - 8x -273[/tex], and when we factor that, we'd get -13 and 21.

Roots are usually written in the form [tex](x-a)(x-b)[/tex], where the zeroes will be the value of x that makes each binomial equal 0 - aka, the opposite of a and b.

The opposite of 13 is -13, and the opposite of -21 is 21.

Therefore, the solutions of this equation are -13 and 21.

Hope this helped!