Parallel lines and tranvsveral

Answer:

A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)

Step-by-step explanation:

In this case, you are breaking each term down to it's non-zero digits, and adding them:

46.61 = 40 + 6 + 0.6 + 0.01

51.52 = 50 + 1 + 0.5 + 0.02

Note however, that the answer choices add each individual non-zero terms together:

(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02), or A)

A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02) is your answer.

~

Answer:

1  1/2 hours

=

Other ways to show would be;  = 1  1/2  hours =  1 .5 hrs  = 90 minutes

Step-by-step explanation:

We write out the question   2  1/4  -  3/4  =  ?

Then you use the model A below

Next you can add on from the smaller number 3/4 being step 1

And you use model B to find step 2 +  step 3 as it reminds  you that there is 1/4 in total time being the smallest box out of the sum.

step 1 =  3/4 + 1/4 = 1   = 1/4       is missing in A model box

step 2 = + 1   (to make 2)  = 1      is left in B model box

step 3 is + 1/4                                is left in B model box

Then add the up = 1/4 + 1 + 1/4   =  1 1/2

Your answers will be  model represents 3hrs divided into 6 hours

Jessi played in the afternoon

Playedi n afternoon for 1 1/2 hours

Answer:

1 1/2 hours

Step-by-step explanation:

Answer:

Question 11:

[tex]\angle DAC = 53^\circ[/tex]

[tex]\angle AED = 90^\circ[/tex]

[tex]\angle ADC = 74[/tex]

[tex]DB = 16[/tex]

[tex]AE = 6.03[/tex]

[tex]AC = 12.06[/tex]

Question 12:

[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]

Question 13:

AC and BD are perpendicular lines, and they are diagonals

Step-by-step explanation:

Question 11

Given

[tex]\angle BAC = 53^\circ[/tex]

[tex]DE = 8[/tex]

See attachment for Rhombus

Required

Determine the indicated sides

Solving (a): [tex]\angle DAC[/tex]

Diagonal CA divides [tex]\angle DAB[/tex] into 2 equal angles

i.e

[tex]\angle DAC = \angle BAC[/tex]

So:

[tex]\angle DAC = 53^\circ[/tex]

Solving (b): [tex]\angle AED[/tex]

The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.

So:

[tex]\angle AED = 90^\circ[/tex]

Solving (c): [tex]\angle ADC[/tex]

First, we calculate [tex]\angle ADE[/tex], considering [tex]\triangle ADE[/tex]:

[tex]\angle ADE + \angle AED + \angle DAC = 180[/tex]

[tex]\angle ADE + 90 + 53 = 180[/tex]

[tex]\angle ADE + 143 = 180[/tex]

[tex]\angle ADE = -143 + 180[/tex]

[tex]\angle ADE = 37[/tex]

To calculate [tex]\angle ADC[/tex], we have:

[tex]\angle ADC = 2*\angle ADE[/tex]

[tex]\angle ADC = 2* 37[/tex]

[tex]\angle ADC = 74[/tex]

Solving (d): [tex]DB[/tex]

From the rhombus

[tex]DB = DE +EB[/tex]

Where

[tex]DE =EB[/tex]

So:

[tex]DB = 8 + 8[/tex]

[tex]DB = 16[/tex]

Solving (e): [tex]AE[/tex]

To do this we consider [tex]\triangle ADE[/tex]

Using the tan formula

[tex]tan(\angle ADE) = \frac{AE}{DE}[/tex]

[tex]\angle ADE = 37[/tex] and [tex]DE = 8[/tex]

So:

[tex]\tan(37) = \frac{AE}{8}[/tex]

[tex]AE = 8 * \tan(37)[/tex]

[tex]AE = 6.03[/tex]

Solving (f): [tex]AC[/tex]

This is calculated as:

[tex]AC = AE + EC[/tex]

Where

[tex]AE = EC[/tex]

[tex]AC = 6.03 +6.03[/tex]

[tex]AC = 12.06[/tex]

Question 12: Isosceles Triangle

In the rhombus, all 4 sides are equal;

So, the isosceles triangle are:

[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]

Question 13:

AC and BD are perpendicular lines, and they are diagonals

Step-by-step explanation:

Answer 1 put all like terms then solve

hope it helps....

a) The value of the equation is A = ( x - 1 ) ( x² + 3 )

b) The value of the equation is B = ( x⁴ - 6x² + 10 ) ( x² - 4 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

The equation is A = x³ + 3x - x² - 3  

On simplifying the equation , we get

A = x³ - x² + 3x - 3

A = x² ( x - 1 ) + 3 ( x - 1 )

On factorizing the equation , we get

A = ( x² + 3 ) ( x - 1 )

b)

The equation is B = ( x² - 3 )³ - ( 2 - x² )² + 3 ( x² - 3 )

On simplifying the equation , we get

B =  ( x² - 3 )³ - ( x⁴ - 2x² - 2x² + 4 ) + 3 ( x² - 3 )

On further simplification , we get

B = ( x² - 3 )³ - x⁴ + 4x² - 4 + 3x² - 9

B = ( x² - 3 )³ - x⁴ + 7x² - 13

On factorizing the equation , we get

B = ( x - 2 ) ( x⁵ + 2x⁴ - 6x³ - 12x² + 10x + 20 )

B = ( x - 2 ) ( x + 2 ) ( x⁴ - 6x² + 10 )

And , on further simplification , we get

B = ( x² - 4 ) ( x⁴ - 6x² + 10 )

Hence , the equation is B = ( x² - 4 ) ( x⁴ - 6x² + 10 )

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Answer:

disagree

Step-by-step explanation:

subtituting b with 5 we get 5/7=35. they are not equal do karen is not correct.

Answer:

No

Step-by-step explanation:

If the equation was 7b=35 then yes Karen would be correct. However the equation is b/7=35 which would get you b = 245

Answer:

24%

Step-by-step explanation:

The number of kilograms, y, of original oxygen that remain in the body after t hours can be modeled by the equation y = 0.32(0.76)^t . What is the rate of decrease of original oxygen?

The formula for Exponential Decrease is given as:

y = a(1 - r)^t

Where

y = Amount after time t

a = Original amount

r = Rate of decrease

t = Time

Comparing both Equations

y = 0.32(0.76)^t = y = a(1 - r)^t

We know that

0.76 = 1 - r

Solving for r

Collect like terms

r = 1 - 0.76

r = 0.24

Converting to Percentage

= 0.24 × 100

= 24%

Therefore, the rate of decrease of original oxygen is 24%

Answer:

X - .4x

Step-by-step explanation:

X - .4x = x(1-.4) = .6x

1 -0.4x  These are not like terms so they cannot be combined

X + 0.6 These are not like terms so they cannot be combined

0.6X - X  x( .6-1) = x(-.4) = -.4x

Answer:

Congruent figures have the same measurements in angles (degrees) and sides (units).

Similar figures are figures that have the same general shape and don't necessarily have to have the same size or measurements.

Something they have in common are corresponding angles and corresponding sides.

Answer:

x<9

Step-by-step explanation:

isolate the x by adding 4 on both sides. then add 4+5 to get 9.

i hope this helps :)

Answer:

43

Step-by-step explanation:

deltamath

Answer:43

Step-by-step explanation:

Answer:

11.1 times

Step-by-step explanation:

Answer:

11 times

Step-by-step explanation:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110

Step-by-step explanation:

there you go that is the answer

Answer:

see explanation

Step-by-step explanation:

The scientific notation is 3.212 · 10^8

Step-by-step explanation:

I think it's option B is the correct answer of this question.

Answer:

17

Step-by-step explanation:

Let the larger number be represented by x

Let the smaller number be represented by y

from the question, the next equations can be gotten :

x - y = 9  equation 1

x = 1 + 2y equation 2

Substitute for x in equation 1

1 + 2y - y = 9

1 + y = 9

Collect like terms

y = 9 - 1

y = 8

Substitute for y in equation 1 and solve for x (the larger number)

x - 8 = 9

x = 9 + 8

x = 17

Answer:

x = 50

Step-by-step explanation:

5x + 2(3x - 9) = 132 + 8x

5x + 6x - 18 = 132 + 8x

11x - 18 = 132 + 8x

11x - 18 = 8x + 132

11x - 18 + 18 = 8x + 132 + 18

11x = 8x + 150

11x - 8x = 8x - 8x + 150

3x = 150

3x ÷ 3 = 150 ÷ 3

x = 50

Answer:

33.51

Step-by-step explanation:

V=4 3πr3=4 3·π·23≈33.51032

Answer:

You're answer is c 55/6.

Answer:

C. 55/6

Step-by-step explanation:

It’s 11/3 + 11/2. To get the same denominator multiple the top and bottom of the left fraction by 2 and the top and bottom of the right fraction by 3. Then you get 22/6 + 33/6 which is 55/6

Answer:

Step-by-step explanation:

11x - 16 = -49

=> 11x = - 49 + 16

=> 11x = -33

[tex] = > x = \frac{ - 33}{11} [/tex]

=> x = -3 (Ans)

Answer:

x=-3

Step-by-step explanation:

1. Add 16 to both sides of the equation

11−16=−49

11−16+16=−49+16

2. Simplify.

IF you add the numbers you will get:

11x=-33

3. Divide both sides of the equation by the same term

11=−33

11/11=−33/11

4. Simplify.

x=-3

Hope this helps       :)

Answer:

the surface area is 544 square units

Step-by-step explanation:

the tringles first

12 x 8 = 96

base

12 x 14 = 168

sides

10 x 14 x 2 = 280

96 + 168 + 280

im going to break it down

000 + 100 + 200 = 300

90 + 60 + 80 = 230

6 + 8 + 0 = 14

300 + 230 = 530

530 + 14 = 544

The surface area of the triangular prism is equivalent to 330 units square.

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.

Given is a triangular prism as shown in the image.

We can calculate the surface area of the triangular prism as follows -

A{P} = {2 x A(T)} + {2 x A(R)} + A{B}

A{P} = {2 x 1/2 x 12 x 8} + {2 x 14 x 10} + {14 x 12}

A{P} = 12 x 8 + 2 x 140 + 14 x 12

A[P} = 4{3 x 2} + 2(7 + 6) + 280

A[P} = 24 + 26 + 280

A{P} = 330 units square

Therefore, the surface area of the triangular prism is equivalent to 330 units square.

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Answer:

pretty sure its 4b!

Step-by-step explanation:

Answer:

4b

Step-by-step explanation:

Answer: [tex]\dfrac{6\sqrt{2}+\sqrt{7}}{12},\ \dfrac{-3-2\sqrt{14}}{12}[/tex]

Step-by-step explanation:

Given

x and y is in the fourth quadrant

[tex]\sin x=-\dfrac{1}{3}\\\\\cos y=\dfrac{3}{4}[/tex]

we know,

[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y\\\sin (x+y)=\sin x\cos y+\cos x\sin y[/tex]

using  [tex]\sin ^2\theta +\cos^2 \theta =1[/tex]

[tex]\Rightarrow \cos x=\dfrac{2\sqrt{2}}{3}\\\\\Rightarrow \sin y=-\dfrac{\sqrt{7}}{4}[/tex]

[tex]\Rightarrow \cos(x-y)=(\dfrac{2\sqrt{2}}{3})\times (\dfrac{3}{4})+(-\dfrac{1}{3})\times (-\dfrac{\sqrt{7}}{4})=\dfrac{6\sqrt{2}+\sqrt{7}}{12}\\\\\\\Rightarrow \sin (x+y)=(-\dfrac{1}{3})\times \dfrac{3}{4}+\dfrac{2\sqrt{2}}{3}\times (\dfrac{-\sqrt{7}}{4})=\dfrac{-3-2\sqrt{14}}{12}[/tex]

P = a + b + c =4.81 + 8.8 + 8.42 = 22.03

Answer:

The second and third one

Step-by-step explanation:

According to the statement, numbers between 4 and 5 is 4.1 - 4.9

But it is doubled so it is 8.2 - 9.8

These numbers are greater than 8 and less than 9

These numbers are also greater than 9 and less than 10

answers:

4.C po

Step-by-step explanation:

i hope its help

Answer:

24

Step-by-step explanation:

if he splits 1 yard into 6 pcs for 6 bracelets 4 times, thats 24 pieces of yarn that are 1/6 of a yard long meaning he can make 24 bracelets

Answer:

we need an amount of cherry tomatoes per each salad so we can answer.

Step-by-step explanation:

Just name the amount of tomatoes there are in each salad.

Answer:the large one needs 10 and the small one needs 6 so if you get this right can you pick me as the brainliest

Step-by-step explanation:

We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes

Answer: 2x^2-2x-36 is the correct answer

Step-by-step explanation: Add 8x+31 and 2x^2-2x-36 and you will get 2x^2+6x-5. (i took the test and got it correct)

Answer:

$2.54

Step-by-step explanation:

You divide 28 by 11 and you get 2.54545454545, which you can just sum down to 2.54 (I think thats right)

Answer:

x = length of sitcoms = 21 minutes

y = length of dramas = 42 minutes

Step-by-step explanation:

Let

x = length of sitcoms

y = length of dramas

6x + 6y = 372 (1)

2x + 6y = 288 (2)

Subtract (2) from (1) to eliminate y

6x - 2x = 372 - 288

4x = 84

x = 84/4

x = 21

Substitute x = 21 into (1)

6x + 6y = 372

6(21) + 6y = 372

126 + 6y = 372

6y = 372 - 126

6y = 246

y = 246/6

y = 41

x = length of sitcoms = 21 minutes

y = length of dramas = 42 minutes