The sides of a square are 7 inches long. Enter the length of the diagonal of the square to the nearest tenth.

The measure of ∠ 1 is 68.7°

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.

Given is a figure of angles showing the pair of linear angles.

Therefore, by the definition of linear pair angles,

∠ 1 + 111.3° = 180°

∠ 1 = 180° - 111.3°

∠ 1 = 68.7°

Hence, the measure of ∠ 1 is  68.7°

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Answer:

Dylan should purchase the 10-lens boxes in packs of 4 for $120, as this is the better deal. This option provides 40 lenses for $120, which works out to be $3 per lens. The 8-lens boxes in packs of 2 for $52 only provides 16 lenses for $52, which works out to be $3.25 per lens Therefore, the 10-lens boxes in packs of 4 is the better deal.

Step-by-step explanation:

Answer:

he should buy the 10-lens boxes in packs of 4 for $120

Step-by-step explanation:

Answer:

The cost of a manicure set in Nina's store is $12.30.

Step-by-step explanation:

To find the cost of the manicure set in Nina's store, you can use the following formula:

Selling price = Cost + Cost * Markup percentage

Substituting the given values into this formula, you get:

Selling price = $8.36 + $8.36 * 47%

To find the value of the markup percentage, you can convert 47% to a decimal by dividing it by 100: 47/100 = 0.47

Then you can use this value in the formula to find the selling price:

Selling price = $8.36 + $8.36 * 0.47

Answer:

x = 400 when y = 100

Step-by-step explanation:

This is a question in relation to direct variation.

y ∝ [tex]\sqrt{x}[/tex]

y = k [tex]\sqrt{x}[/tex]

Given that, y = 45, x = 81. Then;

45 = k [tex]\sqrt{81}[/tex]

45 = 9k

k = [tex]\frac{45}{9}[/tex]

k = 5

Thus the relationship among the variables is;

y = 5 [tex]\sqrt{x}[/tex]

If y = 100, then;

100 = 5 [tex]\sqrt{x}[/tex]

[tex]\sqrt{x}[/tex] = [tex]\frac{100}{5}[/tex]

[tex]\sqrt{x}[/tex] = 20

x = [tex](20)^{2}[/tex]

x = 400

Therefore, x = 400 when y = 100.

Answer:

The answer is 12 (B)

I hope this helped!!!

Step-by-step explanation:

First Quartile Q1 = 14

Second Quartile Q2 = 18

Third Quartile Q3 = 26

Interquartile Range IQR = 12

Median = Q2 x˜ = 18

Minimum Min = 12

Maximum Max = 35

Range R = 23

You can use a calculator for this, just search it up! I can't include the link because then my answer would be reported, but just search up IQR calculator.

Answer:

fruit loops

Step-by-step explanation:

because i said FRUIT LOOPSSSSSSSSS

Answer:

Option D would be the correct answer

Hope this helps!

Answer:

8.5

Step-by-step explanation:

there's a rule to get the distance between 2 points

√((1st x- 2nd x)²+(1st y- 2nd y)²)

√((-6-(-6))²+(5-(-3.5))²)

=√((-6+6))²+(5+3.5))²)

you can just type that on your calculator and you'll get the result

√((-6+6))²+(5+3.5))²)

=√((5+3.5))²)

= √((8.5))²)

the root goes away with the power (exponent)

so it equals 8.5

Answer: She can multiply the numerator and the denominator by the same number. For example, 30/100 × 2/2

So what you're doing multiplying the numerator & the denominator each by 2. 30 ×2 = 60 and 100 x 2 = 200, ending up with 60/200.

when reduced it would simplify back to 30/100.

You can do the same for each similar. Problem asking for an equivalent. Just multiply both the numerator and denominatorby the same number.

Step-by-step explanation:

Answer:

y = 9/4x - 81

Step-by-step explanation:

Given the slope = 9/4

The point (36, 0) ; x1 = 36 ; y1 = 0

Slope intercept relation :

y = mx + c ; c = intercept, m = slope

Using the relation :

y - y1 = m(x - x1)

y - 0 = 9/4(x - 36)

y - 0 = 9/4x - 81

y = 9/4x - 81

Hence, the required equation is : y = 9/4x - 81

9/4 = slope ; - 81 = intercept

The total surface area of the cube will be 37.5 cm²

Here the edge of the cube is given

Edge = 2.5 cm

We have to find out the total surface area of the cube

Total surface area of cube = 6a², where a is the edge of the cube

                                            = 6 × 2.5 × 2.5

                                            = 37.5 cm²

Hence, the total surface area of the cube will be 37.5 cm²

The complete question is,
Find the surface area of a cube of Edge 2.5 CM​

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Answer:

4 1/6

Step-by-step explanation:

15 3/4 ÷ 2 5/8 × 5 5/6 ÷ 8 2/5

assuming this order of operations:

(15 3/4 ÷ 2 5/8) × (5 5/6 ÷ 8 2/5)

63/4 x 8/21 = 505/84 = 6

35/6 x 5/42 = 175/252

6 x 175/252 = 1050/252 = 4 42/252 = 4 1/6

Answer:

44-31=13

so 13

Step-by-step explanation:

Answer:

Jim bought the used RV at a price of $ 6,485 under its book price.

Step-by-step explanation:

Given that Jim Clinnin purchased a used RV with 18,500 miles for $ 46,400, and originally the RV sold for $ 67,500 with a residual value of $ 19,500 and, after subtracting the residual value, depreciation allowance per mile was $ 0.79, to determine how much was Jim's purchase price over or below the book value the following calculation must be performed:

18,500 x 0.79 = 14615

67,500 - 14,615 = X

52.885 = X

52,885 - 46,400 = 6,485

Therefore, Jim bought the used RV at a price of $ 6,485 under its book price.

Answer:

53 centimeters

Step-by-step explanation:

Answer: 53 centimeters

Answer:

Evan will need enough paint to cover

✔ 448 in.2.

What is the maximum amount of soil he will need to fill the box?

The maximum amount of soil is

✔ 768 in.3.

Step-by-step explanation:

I got it right on assignment, sorry for late answer

Evan will need enough paint to cover 448 in². The maximum amount of soil is 768 in³

An equation is an expression that shows the relationship between two or more variables and numbers.

The box is open at the top, hence:

Minimum amount of paint = surface area of box = (16 * 6) + 2(8 * 6) + 2(16 * 8) = 448 in²

Maximum amount of soil = 16 in * 6 in * 8 in = 768 in³

Evan will need enough paint to cover 448 in². The maximum amount of soil is 768 in³

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Answer:

Each roll of wallpaper has an area of 90 square feet.

Step-by-step explanation:

In order to find the number of square feet of wallpaper in each roll, we first need to calculate the total area of the wallpaper in the roll. The area is the product of the length and width of the roll.

The width of each roll is 1 yard, and the length of each roll is 10 yards.

Area of the wallpaper = width x length = 1 yard x 10 yards = 10 square yards

Now we need to convert the area from square yards to square feet, as the area of wallpaper is usually measured in square feet.

1 yard = 3 feet

So we need to multiply the area in square yards by the conversion factor, which is 9.

10 square yards = 10 square yard * 9 = 90 square feet

Therefore, each roll of wallpaper has an area of 90 square feet.

It's important to note that while calculating, the units should be consistent i.e area of a length (yard) multiplied with a width(yard) will give the area in square yards, which we converted to square feet by considering the conversion factor of 1 yard = 3 feet.

As a result, the first term of the answer to the given arithmetic mean problem is 14.

The Arithmetic Mean or Average of the Group is the product of the sum of all the numbers in a group and the amount of items in that list, divided by both. The Geometric progression is also same as this .This average of the numbers 5, 7, and 9 is, for instance, 4, as 5 + 7 + 9 is 21, and 21 split by 3 [there really are three numbers] equals 7.

Here,

In this case, t(n) = (a + ((n — 1) * d)),

The value of the nth term is t(n),

The first term of the AS is a.

The position of a value in the A.S. is represented by the positive whole integer n, and

The constant common difference among A.S. words is d.

In light of the question, we can say:

11 = (5 + ((4 — 1) * d)),

Take 5 away from both sides.

11 — 5 = (5 + ((4 — 1) * d)) — 5,

On the RHS, the fives cancel one another out.

6 = 3d,

d = 2.

In summary, the common distinction is: 2.

=> 20 = a + 3d

=> 20 - 6

=> a =14

As a result, the first term of the answer to the given arithmetic mean problem is 14.

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Answer:

42.3°

Step-by-step explanation:

Use SOH-CAH-TOA (O=opposite, A=adjacent, H=hypotenuse) we see that they give us the angle missing, x, but we first need to identify what method to use. They give us the opposite side from the angle, and they also give us the adjacent side from the angle, so TOA=tan.

now plug it in, since there is no angle then we plug it in as [tex]tan^{-1}=\frac{10}{11}[/tex]

in the calculator, (be sure to be in degree mode)

x=  42.3°

(does that make sense)

Answer:

The answer is "0.096".

Step-by-step explanation:

In this question, the X is a number of the students who enroll in a psycholog y course,  follows a Poisson distribution with mean [tex]= \lambda= 105[/tex]  

[tex]\therefore P(X=x)=\frac{e^{-105} 105^{x}}{x!},(x=0,1,2,3.....)\\\\\to p(teach\ two \ sections) = P(X \geq 119)\\\\=1-P(X<119)\\\\=1-\sum_{x=0}^{118}P(X=x)\\\\=1-\sum_{x=0}^{118}\frac{e^{-105} 105^{x}}{x!}\\\\=0.0956747863537\\\\=0.096\\[/tex]

Answer:

I didn't unferstanf

Step-by-step explanation:

ok further of all I don't understand the question

✔ -15/17

cos(θ) =  

✔ 8/17

tan(θ) =  

✔ -15/8

csc(θ) =  

✔ -17/15

sec(θ) =  

✔ 17/8

cot(θ) =  

✔ -8/15

Answer:

1. -3, -2

2. 2, -7

3. 1, 2.5

4. infinitely many solutions

Answer:

1. (-3,-2)

2. (1, -7)

3. (1, 2.5)

4. No solution

Step-by-step explanation:

Number 1: Substitution

Plug y in to substitute and get

2x + (2x + 4) = -8

4x + 4 = -8

4x = -12

x = -3

Then plug into the y equation

y = 2(-3) + 4

y = -6 + 4

y = -2

(-3, -2)

Number 2: Elimination

Begin eliminating by crossing out same values

40x + 12y = -44

-2y = 14

Solve for y

-2y = 14

y = -7

Solve for x

40x + 12(-7) = -44

40x - 84 = -44

40x = 40

x = 1

(1, -7)

Number 3: Elimination

Add the two and get:

-3x + 2y = 2

6y = 15

Solve for y:

6y = 15

y = 5/2

Solve for x:

3x + 4(5/2) = 13

3x + 10 = 13

3x = 3

x = 1

(1, 2.5)

Number 4: Substitution

Solving for y to begin with:

4x - y = -3

-y = -3 - 4x

y = 3 + 4x

Then solve for y in the second system

-8x + 2y = 6

2y = 6 + 8x

y = 3 + 4x

Set equal to each other

3 + 4x = 4 + 4x

3 = 4

No solution

The set of rational expressions are closed under subtraction because the subtraction will result to a rational expression

The ratio of two polynomials is a rational expression.

A rational expression can be expressed in the form p/q, where p and q are polynomials,

Closure property of rational expression

According to the closure property, a - b is also a rational number for any pair of two rational numbers, a and b. The outcome is a rational number. Therefore, under subtraction, the rational numbers are closed.

In the polynomial subtraction

= P(x) /q(x) - r(x)/s(x)

= (P(x) * s(x) - r(x) * q(x)) / (q(x) * r(x))) also a rational number

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Answer:

157[tex]ft^{3}[/tex]

Step-by-step explanation:

Volume =  the area of the base times the height.

Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]

a = [tex]\pi[/tex][tex](5^{2})[/tex]   I am going to use 3.14 for [tex]\pi[/tex]

a = 3.14(25)

a = 15.7

Volume = 15.7 x 10 = 157

Answer:

785 ft२

Step-by-step explanation:

volume =3.13*5२*10

=3.14*25*10

=785 ft२

Answer:

Asumiendo que la distribución de las compras sea normal, tenemos:

_

x = 128.45

σ = 18.26

a)

x = 100

Normalizamos:

.......... _

z = (x - x) / σ

z = (100 - 128.45) / 18.26

z = -28.45 / 18.26

z ≅ -1.56

Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 1.56 la probabilidad es de 0.4406 = 44.06%. Esta es P(-1.56 < z < 0) = P(0 < z < 1.56).

Como preguntan P(x > 100), tenemos que

P(x > 100) = 0.5 + P(-1.56 < z < 0) = 0.5 + 0.4406 = 0.9406

La probabilidad de que un cliente compre más de $100 es del 94.06%.

=======

b)

x = 150

Normalizamos:

.......... _

z = (x - x) / σ

z = (150 - 128.45) / 18.26

z = 21.55 / 18.26

z ≅ 1.18

Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 1.18 la probabilidad es de 0.3810 = 38.10%. Esta es P(0 < z < 1.18).

Como preguntan P(x > 150), tenemos que

P(x > 150) = 0.5 - P(0 < z < 1.18) = 0.5 - 0.3810 = 0.1190

La probabilidad de que un cliente compre más de $150 es del 11.90%.

=======

c)

x = 120

Normalizamos:

.......... _

z = (x - x) / σ

z = (120 - 128.45) / 18.26

z = -8.45 / 18.26

z ≅ -0.46

Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 0.46 la probabilidad es de 0.1772 = 17.72%. Esta es P(-0.46 < z < 0) = P(0 < z < 0.46).

Como preguntan P(x < 120), tenemos que

P(x < 120) = 0.5 - P(-0.46 < z < 0) = 0.5 - 0.1772 = 0.3228

RESPUESTA:

La probabilidad de que un cliente compre menos de $120 es del 32.28%

Answer:

13 is your number

Step-by-step explanation:

23 = -29 x 4x

add 29 to both sides

52 = 4x

divide both sides by 4

13 = x

Answer:

13

Step-by-step explanation:

13 x 4 = 52 - 29 = 23