Hi, I’m doing some review and I just wanted to know if I am on the right track with PEMDAS.

Answer:

[tex]\frac{1}{784}[/tex]

Step-by-step explanation:

4⁻² * 7⁻²

Use the Negative Exponent Property: x⁻ⁿ = [tex]\frac{1}{x^n}[/tex]

[tex]4^{-2}*7^{-2}\\\\ \frac{1}{4^2}*\frac{1}{7^2}\\\\ \frac{1}{16}*\frac{1}{49}\\\\ \frac{1}{784}[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

3) Opposite sides of a parallelogram are parallel

4) Alternate interior angles theorem

5) Reflexive property

6) ASA

Answer:

yes

Step-by-step explanation:

Yes it is because it is a whole number and rational

Please mark this as brainliest and I hope this helps you

[tex]-3(2x+2) < 10\\\\\implies -6x -6 < 10\\\\\implies -6x < 10 +6\\\\\implies -6x < 16 \\\\\implies x > -\dfrac{16}6\\\\\implies x > -\dfrac{8}3[/tex]

Answer: 40.45 or B

Step-by-step explanation:

63 x 0.6(100%-40%) = 37.8

37.8 x 1.07 = 40.446

40.446 rounded is

40.45

area triangle:

b×h/2

= 11 in×10 in/2

=55 in²

area half-circle:

pi×r² /2

= 3.14×5in² /2

=78.5in² /2

=39.25 in²

Total area: area triangle+ area half-circle

= 55 in²+39.25 in²

=94.25 in²

Answer:

1440 different trucks

Step-by-step explanation:

Multiply all of the choices for each part:

3 possible bodies * 4 possible engines * 3 possible transmission types * 8 possible colors * 5 possible options packages

And, you get:

3 * 4 * 3 * 8 * 5

= 1440 different trucks

Answer:

4320 trucks

Step-by-step explanation:

Answer:

C. by a facotor of 3

Step-by-step explanation:

The approximate value of the figure in the graph is [tex]\sqrt{3[/tex]

So if you were to draw a figure that is congruent to the one drawn it would be C. by a factor of 3.

Answer:

x = 19

Step-by-step explanation:

See attched image.

Answer:

6/5 or A. 1 1/5

Step-by-step explanation:

Hey there!

In order to simplify this, you need to add the numerators but not the denominators since they are the same

4+2=6

So this shows that the answer is 6/5 or 1 1/5

Answer:

6/5 or 1 1/5 or A

Step-by-step explanation:

In order to simplify this, you need to add the numerators but not the denominators since they are the same

4+2=6

So this shows that the answer is 6/5 or 1 1/5

Answer:

Step-by-step explanation:

The hour hand is 20 mm and the minute hand is

The tip of the hour hand travels 1/12 of the circle and the tip of the minute hand travels full circle in one hour.

Find each length and their difference using circumference formula.

Hour hand

Minute hand

The difference between the two above

Answer:

230.38 mm

Step-by-step explanation:

The distance traveled by the tip of the hands is (part of) the circumference of the circle with radius of the lengths of the hands.

[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]

Radii

Larger circle (minute hand):  

Smaller circle (hour hand):

Minute Hand

The minute hand does a full rotation of the circle in one hour.

Therefore, the distance it travels in one hour is the complete circumference of a circle with radius 40 mm:

[tex]\begin{aligned} \implies \textsf{Distance minute hand travels} & = \sf 2 \pi (40)\\ & = \sf 80 \pi \: mm\end{aligned}[/tex]

Hour Hand

There are 12 numbers on a clock.

The hour hand travels from one number to the next in one hour.

Therefore, the distance it travels in one hour is 1/12th of the circumference of the circle:

[tex]\begin{aligned}\implies \sf \textsf{Distance hour hand travels} & =\left(\dfrac{1}{12}\right)2 \pi r\\ & = \sf \left(\dfrac{1}{12}\right)2 \pi (40)\\& = \sf \dfrac{20}{3}\pi \: mm \end{aligned}[/tex]

To find how much farther the tip of the minute hand moves than the tip of the hour hand, subtract the latter from the former:

[tex]\begin{aligned}\implies \textsf{distance} & = \textsf{minute hand distance}-\textsf{hour hand distance}\\& = \sf 80 \pi - \dfrac{20}{3} \pi \\& = \sf \dfrac{220}{3} \pi \\& = \sf 230.38\: mm \:(nearest\:hundredth) \end{aligned}[/tex]

Answer:

57600 words in 12 hours.

Step-by-step explanation:

80 wpm means 80 words per minute.

We need to know how many minutes are in a 1 hour which is 1 hour is 60 minutes.

We want to know how much words in 12 hours.

Given:

[tex]\frac{80 word}{1 min}, \frac{60 min}{1 hour},\frac{12 hour}{1}[/tex]

[tex]\frac{80 word}{1 min} *\frac{60 min}{1 hour} *\frac{12 hour}{1} =[/tex] 57600 words in 12 hours.

Answer: 57,600

Step-by-step explanation:

80 × 60 = 4800 in 1hr

4800 ×12 = 57, 600 in 12hrs

From both equations

Hence the solution set in interval notation

Answer:

1.14

Step-by-step explanation:

Long division! Image attached below!

Answer:

B

Step-by-step explanation:

The face of the prism is the right triangle closest to us.

The area of the right triangle is 15 * 8 = 120 / 2 = 60 The general formula for a triangle's area is 1/2 * B * h.

B = 8

h = 15

The volume in general is B*h.

The height in this case is 10 (the height in this case is perpendicular to the surface containing the right triangle).

Volume = B * h

Volume =60 * 10

Volume = 600

Answer:

1.25a-4.4

Step-by-step explanation:

you take :1.5a+0.25a-0.5a=1.25

then:4.7+0.3=4.4

1.25a-4.4

but am not sure sorry

Answer:

Step-by-step explanation:

Collect like terms and simplify

Answer:

x=27

Step-by-step explanation:

the attached photo might help you

Answer:

15.

If we look at angle BOD, that would form a right angle (90°), given that one part of that whole angle is 30°, the other would be;

30° + x = 90°

-30        -30

x = 60°, therefore ∠BOC = 60°.

If we take a look at angle EOC, we can see that that angle is a straight angle (180°), we can also see that a right angle (90°) is a part of that angle alongside the angle we just previously found (60°). So all of those angles plus the unknown angle (AOE) which we will consider 'x' summed up would result in 180 degrees.

Now we set up the equation;

90° + 60° + x = 180°

150 + x = 180

-150       -150

x = 30°, therefore ∠AOE = 30°.

16.

The sum of the interior angles in a triangle will always equal 180°. (We can also confirm this using the formula (n - 2) x 180.)

Given two of the angles, we must add them and the unknown angle(D) which we will consider 'x' to make it result in 180°.

Now we set up the equation;

55° + 18° + x = 180°

73 + x = 180

-73         -73

x = 107°, therefore ∠EDF = 107°.

17.

To find angle P, we must first find the supplement of 34° because 34° and the angle beside forms a straight angle (180°).

Set up an equation;

34 + x = 180

-34         -34

x = 146°, now that we've found the supplement, we add this supplement with the other given angle (23°) because all three angles (unknown angle which we will consider x + 23 + 146) will equal 180°(sum of interior angles of triangle).

146° + 23° + x = 180°

169 + x = 180

-169        -169

x = 11°, therefore ∠QPR = 11°.

18.

Seeing that the bigger triangle has a 90° angle (indicated with a square), and two other equal angles(indicated with the two lines on both legs of the big triangle), we solve for those two missing equal angles in the bigger triangle which we will then use to solve for the smaller triangle's angle.

2x + 90° = 180°

-90            -90

2x = 90

/2     /2

x = 45°, so now we know the two angles in the bigger triangle excluding the right angle.

One of those equal angles is vertical to the smaller triangle, and vertical angles are congruent.

Hence, the angle vertical to the bigger triangle in the smaller triangle will be 45°.

Now we solve for ∠CDE.

Add the two angles and the missing angle to equal 180°.

Set up the equation;

86° + 45° + x = 180°

131 + x = 180

-131        -131

x = 49°, so ∠CDE = 49°.

Answer:

46

Step-by-step explanation:

Just put in least to greatest then you would scratch each number from left to right till you got to the middle number (median)

pls mark brainless

Answer:

Ivy is correct

Step-by-step explanation:

the perimeter of a parallelogram can be written as P= 2(a+b), where a and b are the lengths of the sides of the parallelogram.
since the parallelogram has been dilated by a scale factor of 0.6, we multiple the original side lengths by 0.6.
12 × 0.6 = 7.2
16 × 0.6 = 9.6
Plug into the equation
P=2(7.2+9.6)
P=2(16.8)

P= 33.6

You can also solve by plugging in the original values and multiplying the answer by 0.6.
P=2(12+16)(0.6)
P=2(28)(0.6)
P=(56)(0.6)

P=33.6

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Finding the angles of quadrilateral:

Sum of all angles of quadrilateral = 360

2x + 10 + 3x + 3x + 5 + 5x +20 =360

2x + 3x + 3x + 5x + 10 + 5 + 20 = 360

Combine like terms

                    13x + 35 = 360

Subtrace 35 from both sides

                            13x = 360 - 35

                           13x  = 325

Divide both sides by 13

                               x = 325/13

                               x = 25

5x +20 = 5*25 +20

            = 125 +20

             = 145°

Measeure of largest angle : 145°

By using what we know about right triangles, we will see that the distance is 1479.4 ft

We assume that the distance between the points is a hypotenuse of a right triangle whit one of the angles measuring 8°, and the adjacent cathetus measuring 1465 ft.

Then we use the relation:

Cos(a) = (adjacent cath)/(hypotenuse)

cos(8°) = (1465 ft)/(distance)

distance = (1465ft)/cos(8°) = 1479.4 ft

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

Answer:

Below in bold.

Step-by-step explanation:

y^2 - 3y - 40

To factor this we need 2 numbers whose product is -40 and whose sum is -3.  These are -8 and +5. so the factors are:

(y - 8)(y + 5).

3x^2 + 10x + 3

To factor this we need 2 numbers whose product is (3*3) = +9 and whose sum is +10.  These are +9 and +1 so we write:

3x^2 + 9x + x + 3  

Factor by grouping:

= 3x(x + 3) + 1(x + 3)

= (3x + 1)(x + 3).

Answer: x is 125

Step-by-step explanation: Angles P and S are also consecutive angles, adding up to 180 degrees. 180-55 = 125, so adding the two angles together is 180 degrees. Thus, x is 125.

Answer:

10 units²

Step-by-step explanation:

Area = bh/2

b = 4

h = 5

A = (4 x 5)/2 = 10 units²

I hope this helps!

Answer

[tex] \frac{ \times -+7}{×+2} [/tex]

Answer:

Slope m= -12/5

Step-by-step explanation:

Slope Solution

m=riserun=ΔyΔx

m=y2−y1x2−x1

m=−9−37−2

m=−125

m=−125

In decimals:

m = -2.4

Point Slope Form

y−y1=m(x−x1)

y−3=−125(x−2)

In decimals:

y−3=−2.4(x−2)

Slope Intercept Form

Find the Equation of the Line:

y=mx+b

by solving for y using the Point Slope Equation.

y−y1=m(x−x1)

y−3=−125(x−2)

y−3=−125x−(−125×2)

y−3=−125x−−245

y−3=−125x+245

y=−125x+245+3

y=−125x+395

m=−125

b=395

In decimals:

y=−2.4x+7.8

Standard Form of a Linear Equation

Ax+By=C

Starting with y = mx + b

y=−125x+395

Multiply through by the common denominator, 5, to eliminate the fractions:

5y=−12x+39

Then rearrange to the Standard Form Equation:

12x+5y=39

A=12

B=5

C=39

y-Intercept, when x = 0

y=mx+b

y=−125x+395

When x = 0

y=−125×0+395

y=395

y-intercept=395

(x,y)=(0,395)

In decimals:

(x,y)=(0,7.8)

x-Intercept, when y = 0

y=mx+b

y=−125x+395

When y = 0

0=−125x+395

125x=395

x=395×512

x=3912

x=134

x-intercept=134

(x,y)=(134,0)

In decimals:

(x,y)=(3.25,0)

Answer:

0.55

Step-by-step explanation:

I think you would just divide the numbers