1.Which is an example of the associative property?A.
–(18 + 3) = –18 + (–3)

B.
–17 + 0 = –17

C.
(–8 + 10) + 4. = –8 + (10 + 4)

D.
–5 + 7 = 7 + (–5)

2.What is the value of the expression?

–15.6 + (–3.4 + 8)

A.
–27

B.
–26

C.
–11

D.
–10

D.
17

3.What value of k makes the equation true?

12 + (–17) = –17 + k

Answers

Answer 1

Answer: 1) C
2) -15.6+(-3.4+8) = C
-15.6 + 4.6 = -11
3)12 + (-17) = -17 + k
k= -5

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Which of the following sets represents M∪N?{2, 5, 8}
{4, 7}
{3, 4, 6, 7, 9}
{3, 6, 9}

Answers

Answer : {3, 4, 6, 7, 9}

To find the set that represents M∪N, we take union of M and N

For union of M and N, we consider all the numbers inside the circles M and N.

WE have 9 and 3 inside M. Also we have 6 inside N. 4 and 7 are in the intersection of M and N. So we consider 4 and 7 as well

M∪N = 9,3,6,4 and 7

{3, 4, 6, 7, 9} is the answer.

the 3rd set, you're welcome my dude

Find the area of parallelogram ABCD given m2A=300 and the following measur 300 AX= 3 ft.; AB= 4V5 ft. A=

Answers

ABCD area =

AB = 4√2

AX= 3 ft = Height

then Area is

AREA= AB• AD • Sin 30°

THEN ANSWER IS

AREA= 4√2• 3 = 12√2 ft2

. = 17 square foots

Can someone help me with this please, I would really appreciate it, thank you!
(Geometry)

Answers

Answer:

a. B

b. 4

c. BD

Step-by-step explanation:

a. Point A is at -7; point D is at +1. The distance between these points is ...

1 -(-7) = 8

The midpoint will be 8/2 = 4 units from either end so will be at ...

A +4 = -7 +4 = -3

D -4 = 1 -4 = -3

The point located at -3 is point B, the midpoint of AD.

b. Having done the above calculations, we know that segment AB is 4 units long.

c. We also know that segment BD is 4 units long. That is because the midpoint divides a segment into two equal parts.

Solve for x. MUST SHOW ALL WORK TO RECEIVE FULL CREDIT! (See picture for equation)

Answers

$(x)/(2.4) = (3)/(8)$

For proportions and to find x we have to cross multiply
8 × (x) = 3 × 2.4

8x = 7.2
Divide by 8 to isolate x

$(8x)/(8) = (7.2)/(8)$
8 and 8 cancels out

x = 0.9

you have to cross multiply to get x on its own
1) Multiply everything by 2.4
$x= (3 X 2.4)/(8)$
2) Then simplify the fraction
$x= (7.2)/(8)$
3) You can either leave the answer as a fraction or you put it as a decimal
x=0.9

The yard behind the Cindy’s house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet longer than the width w of the yard, what is the area of the yard, in square feet?

Answers

let
L----------> the length of the yard
W--------> the width l of the yard

we know that
the perimeter is equal to
$P=2*[W+L]$
$72=2*[W+L] \n 36=W+L$ --------> equation 1
$L=W+18$ ------> equation 2
substitute equation 2 in equation 1
$36=W+18+W \n 36=2W+18 \n W=(36-18)/2$
$W=9 ft$
$L=W+18 \n L=9+18 \n L=27 ft$

we know that
Area of the rectangular yard is equal to
$A=L*W \n A=27*9 \n A=243 ft^(2)$

Answer:

$2187\text{ ft}^2$

Step-by-step explanation:

Let l be the length and w be the width of yard behind Cindy's house.

We have been given that the length of the yard is 18 feet longer than the width of the yard. We can represent this information in an equation as:

$l=w+18...(1)$

We have been also given that the perimeter of the yard is 72 feet. Since perimeter of a rectangle is 2 times the sum of its length and width, so we can represent this information in an equation as:

$2(l+w)=72...(2)$

Dividing both sides of equation (2) by 2 we will get,

$l+w=36...(2)$

Substituting equation (1) in equation (2) we will get,

$w+18+w=36$

$2w+18=36$

$2w+18-18=36-18$

$2w=18$

$(2w)/(2)=(18)/(2)$

$w=9$

Upon substituting $w=9$ in equation (1) we will get,

$l=9+18$

$l=27$

$\text{Area of rectangle}=l\cdot w$

$\text{Area of rectangle}=27\text{ yards}\cdot 9\text{ yards}$

$\text{Area of rectangle}=243\text{ yards}^2$

Now, we need to convert the area of rectangle form square yards to square feet.

$1\text{ yards}^2=\text{9 foot}^2$

$243\text{ yards}^2=243* \text{9 foot}^2$

$243\text{ yards}^2=2187\text{ foot}^2$

Therefore, the area of yard behind Cindy's house is 2187 square feet.

A cylinder has a base diameter of 10cm and a height of 14cm. What is its volume in cubic cm, to the nearest tenths place?

Answers

Volume of any cylinder = π times (radius)² times (height or length)

Radius of your cylinder = 1/2 of the diameter =5 cm

Volume = π (5 cm)² (14 cm) = 350 π cm³ = 1,099.56 cm³ (rounded)

$diameter : \ d = 10cm \nheight : \ h=14 \ cm \n \nr=(d)/(2)=(10)/(2)=5 cm \n \nvolume \ of \ a \ cylinder \ is \ equal \n \nV= \pi r^2h \n \nV= \pi\cdot 5^2 \cdot 14 =3.14\cdot 25 \cdot 14 = 1099.0 \ cm^3 \n \n Answer : \ its \ volume \ is \ 1099 \ cubic \ cm$

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