Sangsters sells staples in packs of 500 Staples for $1,250 and 1000 Staples for $3,000. Which pack is the better value for money? Justify your answer.

Answer:

59.7°

Step-by-step explanation:

Working based on the solution diagram :

The angle of elevation = x

From trigonometry :

Opposite side = 12 feets

Adjacent side = 7 feets

Tan x = opposite / Adjacent

Tan x = 12 / 7

Tan x = 1.7142857

x = tan^-1(1.7142857)

x = 59.744°

The angle of elevation from the duck is 59.7°

Answer:

The answer is 59.7 degrees

Step-by-step explanation:

Jenny is a full-time college student at the local university. She is debating whether to purchase renter’s insurance or not. In at least one paragraph, give Jenny 3 reasons why purchasing renter’s insurance is important. Also, give your recommendation on how much renter’s insurance she should purchase and why.a. Answers will vary. Jenny should purchase at least$11,050 worth of coverage to ensure that all of her belongings are covered.

they leave a tip of $1.20, the total would be $9.20

Answer:

$9.2

Step-by-step explanation:

Four friends spend 8 dollars. However, they also leave a 15% tip. So, you will have to multiply .15 by 8. However that is not it. After, you have to add the product of that with 8. Which will give you 9.2.

Answer:

The value of n is -14

Step-by-step explanation:

x3 × x-17

x3-17

x-14

[tex]{ \large{ \sf{ \red{ \star \: \: { \boxed{ \sf{(x {}^{a} )(x {}^{b} ) = x {}^{a + b} }}}}}}}[/tex]

[tex]{ \large{ \sf{ \red{ \rightarrow(x {}^{3} )(x {}^{ - 17} ) = x {}^{n} }}}}[/tex]

[tex]{ \large{ \red{ \sf{ \rightarrow{x {}^{3 - 17} = x {}^{n} }}}}}[/tex]

[tex]{ \large{ \sf{ \red{ \rightarrow{x {}^{ - 14} = x {}^{n} }}}}}[/tex]

[tex]{ \large{ \blue{ \therefore{ \underline{ \underline{ \sf{n = - 14} \: \: Ans.}}}}}}[/tex]

Answer:

Refer the digram & explanation.

Step-by-step explanation:

GIVEN :-

TO PROVE :-

CONSTRUCTION :-

FACTS TO KNOW BEFORE SOLVING :-

PROCEDURE :-

∠QPR + ∠QOR = 180°

⇒ ∠QOR = 180° - ∠QPR

In ΔQOR , OQ = OR (∵ Radii of the circle are equal)

⇒ ΔQOR is an isosceles triangle (∵ OQ = OR i.e. two sides of the triangle are equal.)

⇒ ∠OQR = ∠ORQ (∵ In an isosceles triangle , the base angles are equal)

So,

∠QOR + ∠OQR + ∠ORQ = 180°

⇒ ∠QOR + 2∠OQR = 180°  (∵ ∠OQR = ∠ORQ)

⇒ 180° - ∠QPR = 180° - 2∠OQR  (∵ ∠QPR + ∠QOR = 180°)

⇒ -∠QPR = -2∠OQR  (∵ Cancelling 180° from both the sides.)

⇒ ∠QPR = 2∠OQR (Proved)

Answer:

The quadrilateral is a rhombus

Step-by-step explanation:

Prove Quadrilateral P(-2, 3) L( 2, 6) U (7,6) S(3, 3) Is a rhombus

A rhombus is a quadrilateral with all its sides equal to each other.

We prove this using the formula

√(x2 - x1)² + (y2 - y1)²

When given vertices (x1, y1) and (x2, y2)

For sides PL

P(-2, 3) L( 2, 6)

√(2 - (-2))² + (6 - 3)²

= √4² + 3²

= √16 + 9

= √25

= 5 units

For sides LU

L( 2, 6) U (7,6)

√(7 - 2)² + (6 - 6)²

= √5²

= √25

= 5 units

For side US

L( 2, 6) U (7,6)

= √(7 - 2)² + (6 - 6)²

= √5² + 0²

= √25

= 5 units

P(-2, 3), S(3, 3)

= √(3 - (-2))² + (3 - 3)²

= √5² + 0²

= √25

= 5 units

From the above calculation,

PL = LU = US = PS = 5 units

Hence, the above quadrilateral is a rhombus

Using the congruence of triangles, the value of x comes to be 15°

A circle is a locus of a point that moves in a plane such that its distance from a fixed point remains constant.

Connect A to D

So, ∠BAC=53°

From the congruence of triangles

∠BAD=∠CAD =53/2 = 26.5°

Also, ∠BAD=∠ABD (since AD=BD=radius)

So, ∠BDA + ∠BAD + ∠ABD=180°

10x-23 + 26.5+26.5 = 180

10x+30=180

10x=150

x=15°

Hence, Using the congruence of triangles, the value of x comes to be 15°

To get more about circles visit:

https://brainly.com/question/24375372

Answer:

9.207, 9.27​, 9.2712, 9.4

Step-by-step explanation:

Answer:

take a photo, go math  way click the photo thing and then ask your question

Step-by-step explanation:

Answer:

62.25

Step-by-step explanation:

Answer:

diameter = 36 in.

Step-by-step explanation:

V = 4π r^3/3

24416.64 = (4(3.14) r^3)/3

73249.92 = 12.56 r^3

r^3 = 5832

r = cube root of 5832 = 18

diameter = 36 in.

(2, -3) is the answer

Answer:

6x - 7 = 2x + 13

6x - 2x = 13 + 7

4x = 20

x = 20/4

x = 5

Hope it helps!

Answer:

Option A 1/2x³ is your answer

Answer:

Step-by-step explanation:

Answer:

32 cabbages

Step-by-step explanation:

$1.80 = 2 cabbages

Amanda has $28.80

28.80 ÷ 1.80 = 16

16×2=32

Answer:

x = -2, y = 3

Step-by-step explanation:

2x + y = -1

3x - y = -9​

2x + y + 3x - y = -1-9

5x = -10

x = -2

2(-2) + y =-1

-4 + y = -1

y = 3

As we know that,

[tex]\bigstar \: \boxed{\sf {Area_{(Trapezium)} = \dfrac{1}{2} \times ( a + b) \times h}} \\ [/tex]

Substituting values, we get :

[tex] \longmapsto [/tex] Area = [tex]\sf \dfrac{1}{2} [/tex] × ( 60 + 40 ) × 30 ft[tex] \sf ^2 [/tex]

[tex] \longmapsto [/tex] Area = [tex]\sf \dfrac{1}{2} [/tex] × 100 × 30 ft[tex] \sf ^2 [/tex]

[tex] \longmapsto [/tex] Area = 1 × 100 × 15 ft[tex] \sf ^2 [/tex]

[tex] \longmapsto [/tex] Area = 100 × 15 ft[tex] \sf ^2 [/tex]

[tex] \longmapsto [/tex] Area = 1500 ft[tex] \sf ^2 [/tex]

Therefore,

Answer:Percentage of the sandwiches which were turkey=25%

Step-by-step explanation:

Number of sandwiches in all(ham and  turkey)=  64

Number of turkey sandwiches =16

Percentage of the sandwiches which were turkey=16/64 x 100

=0.25 x 100

=25%

Given:

The given function is:

[tex]f(x)=11x-11[/tex]

To find:

The value of [tex](f\circ f^{-1})(-11)[/tex].

Solution:

We have,

[tex]f(x)=11x-11[/tex]

First we have to find the inverse of this function.

Putting f(x)=y, we get

[tex]y=11x-11[/tex]

Interchange x and y.

[tex]x=11y-11[/tex]

Isolate the variable y.

[tex]x+11=11y[/tex]

[tex]\dfrac{x+11}{11}=y[/tex]

[tex]y=\dfrac{x+11}{11}[/tex]

Putting [tex]y=f^{-1}(x)[/tex], we get

[tex]f^{-1}(x)=\dfrac{x+11}{11}[/tex]

Now,

[tex](f\circ f^{-1})(-11)=f(f^{-1}(-11))[/tex]

[tex](f\circ f^{-1})(-11)=f\left(\dfrac{-11+11}{11}\right)[/tex]        [tex]\left[\because f^{-1}(x)=\dfrac{x+11}{11}\right][/tex]

[tex](f\circ f^{-1})(-11)=f\left(\dfrac{0}{11}\right)[/tex]

[tex](f\circ f^{-1})(-11)=f\left(0\right)[/tex]

The given function is [tex]f(x)=11x-11[/tex].

[tex](f\circ f^{-1})(-11)=11(0)-11[/tex]

[tex](f\circ f^{-1})(-11)=-11[/tex]

Therefore, the value of [tex](f\circ f^{-1})(-11)[/tex] is [tex]-11[/tex]. Hence the correct option is A.

Answer:

565

Step-by-step explanation:

5x5=25

540+25=565

Answer:

30

Step-by-step explanation:

180-53-97

the answer is b 1/2 <3

Answer:

41.25

Step-by-step explanation:

0.70 + 1 (40.55) = 41.25

Answer:

94° and 86°

Step-by-step explanation:

'x-8' = smaller angle

'x' = larger angle

x - 8 + x = 180

2x = 188

x = 94

94 - 8 = 86

Answer:

Step-by-step explanation:

(h + 6) - 2    Here we find the sum of h and 6, and from that sum we subtract 2.

This simplifies to h + 4.

Answer:

h+4

Step-by-step explanation:

h+6-2=h+4

Answer:

[tex] {eb}^{2} = {ab}^{2} + {ea}^{2} \\ {ab}^{2} = {eb}^{2} - {ea}^{2} \\ {ab}^{2} = {20}^{2} - {12}^{2} \\ ab = 16 \\ \\ {db}^{2} = {bc}^{2} + {dc}^{2} \\ {bc}^{2} = {db}^{2} - {dc}^{2} \\ {bc}^{2} = {20}^{2} - {16}^{2} \\ bc = 12 \\ \\ so \: ac = ab + bc \\ ac = 28[/tex]

Answer:

$1000

Step-by-step explanation:

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Answer:

10. I couldn't get the answer

11. 244140635

17. 216g (little number 3 infront of g)