1. Ms. Fox asked her class “Is the sum of 4.2 and √2 rational or irrational?” Patrick answered that the sum would be irrational. State whether Patrick is correct or incorrect. Justify you reasoning.

Answer:

EF ≈ 1.98

Step-by-step explanation:

Using the sine ratio in the right triangle

sin26° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{EF}{FD}[/tex] = [tex]\frac{EF}{4.5 }[/tex] ( multiply both sides by 4.5 )

4.5 × sin26° = EF

4.5 × 0.44 = EF , that is

EF ≈ 1.98 ( to 2 dec. places )

Answer:

y = 2x + 40

Step-by-step explanation:

Y is the total cost.

2 is dollars per month.

X is the number of months.

40 is the sign up fee.

Answer:

2x+40

Step-by-step explanation:

Answer:

3 weeks.

Step-by-step explanation:

Answer:

3 weeks

Step-by-step explanation:

Hope this helps

Answer:32ft

Step-by-step explanation: I missed this as well, ED and AB are the same and if you don’t read you skip over the fact ED equals 32ft. Since ED and AB equal eachother it would be 32ft

The value of AB = 32 feet

Congruent shapes are shapes that are exactly the same. The corresponding sides are the same and the corresponding angles are the same.

Given:

EC= 32 ft = BC

DC= 28 ft =AC

<ECD= <BCA

So, In ΔECD and ΔBCA

EC = BC

DC= AC

<ECD= <BCA

Thus, by SAS ΔECD ≅  ΔBCA

Hence, by CPCT : ED= BA = 32 ft.

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Step-by-step explanation:

B 27 bags of chips by 5 people

Answer:

B) 5 people share 27 brownies.

Step-by-step explanation:

This is the answer because:

1) If 5 people are sharing 27 brownies, it means they are basically asking, how many brownies did each person get. Then, we would write the numerical sentence: 27 ÷ 5 because we want to know how many brownies each person got.

Hope this helps! :D

Answer:

2

Step-by-step explanation:

15-4(x - 3)=5x+9

15-4x+12=5x+9

collect the like terms

27-9=5x+4x

18=9x

divide both sides by 9

x=2

Answer:

Your answer is: x = 2

Step-by-step explanation:

Hope this helped : )

Answer:

the answer is -14 how about

study math next time

Answer:

Incorrect

Step-by-step explanation:

Use PEMDAS

Solve one side of the equation first

-21 × -4 + - 6

negative × negative = positive

84 + - 6

positive + negative = negative

84 - 6

78

Now solve the other side of the equation

-21 × -4 + (-21) × (-6)

negative × negative = positive

-21 × -4 + (126)

negative × negative = positive

84 + 126

210

Does 78 = 210?

No, so we can assume this equation is incorrect

Answer:

3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

[tex]\frac{x}{25}=\frac{60}{40}\\\\By\:Thales's\:Theorem\\\\x=\frac{60*25}{40}\\\\x=\frac{60*5}{8}\\\\x=\frac{15*5}{2}\\\\x=\frac{75}{2}\\\\x=37.5[/tex]

Answer:

four times a number plus nine

Step-by-step explanation:

PR would be 17.72 as the hypotenuse, according to the measurements, is 17.72

Answer:

=0.423 yards (3 sig figs.)

Step-by-step explanation:

38.7÷91.44

=0.4232283

=0.423 yards (3 sig figs.)

Answer:

it is an integer

Step-by-step explanation:

bc it's -3

Answer:

$8.50 per hour

Step-by-step explanation:

63.75 / 7.5 = 8.5

Hey there!

In order for you to convert/ express a fraction as a decimal you SHOULD:

DIVIDE the numerator (the TOP number) from the denominator (the BOTTOM number)

Now that we have that guide/side note we can answer your question, shall we?

52/ 9 = 5.777778

If you’re rounding to your Answer, then it’ll be: 5.78

Overall answer is: 5.777778 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

 s=5 1/4

Step-by-step explanation:

Have a wonderful day

Answer:I forgot how to solve that

Step-by-step explanation:

Answer:

x= 9/8 , -15/8

Step-by-step explanation:

Answer:

x = 1.125 , x = 9/8

Step-by-step explanation:

|8x+3| = 12

=> 8x + 3 = 12

=> 8x = 12-3 = 9

=> 8x = 9

=> x = 9/8

As 9/8 is a fraction let's make it a decimal.

9/8 * 125/125 (To make it into a power of ten so that we can convert)

=> 1125 / 1000

=> 1.125

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

one solution

An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.

Step-by-step explanation:

Answer:

I would say 3

Step-by-step explanation:

Most reasonable

Answer:

-2.1

Step-by-step explanation:

3.4 minus -5.5

Answer:

x= r/s+t

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

because you are spitting it into fourths

Answer:

1/8

Step-by-step explanation:

Answer:

Slope-int form: y = 3x+5

Standard form: y - 3x = 5.

Step-by-step explanation:

(reminder: slope-intercept form is expressed as y=mx+b, and standard form is expressed as ax+bx=c.)

Since the slope is 3, the coefficient of x is also 3, which makes the equation y=3x.

But the y coordinate of the equation at x = -2 is -6, so we need to add 5 to the end of the equation, leaving you with:

y=3x+5.

To convert it to standard form, subtract 3x from both sides:

y - 3x = 5.

I hope this helped you.

[tex] \frac{1}{2} x[/tex]

Using the exterior angles theorem, the measure of the exterior angle(k) is 140 degrees.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

The two remote interior angles are 76 degrees and 64 degrees.

Therefore,

76 + 64 = k

k = 140 degrees.

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Answer:

The formula would be

wd^2c/l = p

(2*1^2c)/4 = 10

(2*1c)/4 = 10

2c/4 = 10

c = 20

3*2^2*20/6 = p

3*4*20/6 = p

240 pounds

hope it help :)

Step-by-step explanation:

The safe load if the beam is turned on its side will be 240 pounds.

A burden or pressure source that is carried by someone or something. Construction loads are defined as the weights placed on an existing or temporary structure both during and after the construction process.

Given that the safe load for a horizontal beam supported at both ends varies jointly with the width and the square of its depth and inversely with the distance between the supports. If a 4 cm by 6 cm beam, 10 m long supports 5 kg when standing on the edge,

The load will be calculated by using the formula below:-

wd²c/l = p

(2 x( 1 ) ²c)/4 = 10

(2x 1c)/4 = 10

2c/4 = 10

c = 20

3 x ( 2 )²x ( 20/6 ) = p

3 x 4x ( 20/6 ) = p

p = 240 pounds

Therefore, the safe load if the beam is turned on its side will be 240 pounds.

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Answer:

ya the answer is 88

Step-by-step explanation: