A factory produces wrenches. The factory wants all of its
wrenches to weigh the same, but will accept a certain level of er-
ror. The inequality below describes the error they are willing to
accept, in pounds:

Answer:

4.5

Step-by-step explanation:

We are given opposite and adjacent, so use tangent

tan(37)=x/6

6tan(37)=4.521324301

Answer:

Kim is 20 years old

Step-by-step explanation:

We have to make equations;

Kim= laura+10 so L+10

Laura is twice as old as Melissa so Laura will be

2 X M = 2M

Input values in to the equation

As Kim is 10 years older than Laura it will be 10+10

The age of Kim is 20 years.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.

Kim's age = laura' age +10 years  

= x +10

As, Laura is twice as old as Melissa

Laura's age = 2*y

Now, Melissa is 5 years old now

So,

2y = 2X5= 10 years old

So, the Kim's age= 10+ 10 = 20 years old

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Answer:

[tex]\frac{wx}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{7wxy}{35y}[/tex]

Cancel y on numerator/ denominator and 7/ 35 by 7, leaving

[tex]\frac{xx}{5}[/tex]

Answer:

She divided the coefficients incorrectly

Step-by-step explanation:

A. She divided the coefficients incorrectly.

B. She added the exponents instead of subtracting them.

C. She divided the coefficients instead of subtracting them.

D. She subtracted the exponents instead of dividing them.

Correct calculation:

3x³/12x^-2

= 3x³ ÷ 12x^-2

= 3x³ ÷ 1/12x²

= 3x³ × 12x²/1

= 36x^5

Tyna's calculation:

3x³/12x^-2 = x/4

Answer:the answer  is A

Step-by-step explanation:

got 100 on the test

Answer:

x =  ​(y+w)/k

Step-by-step explanation:

xk-w=y ​

Add w to each side

xk-w+w=y+w

xk = y+w

Divide each side by k

xk/k = (y+w)/k

x =  ​(y+w)/k

Answer:

x=[tex]\frac{y+w}{k}[/tex]

Step-by-step explanation:

Have a nice day

Answer:

? more information needed

Step-by-step explanation:

Answer:

Domain: [tex](-\infty,\infty)[/tex]

Range: [tex]f(x) \ge 0[/tex]

Step-by-step explanation:

Given

[tex]f(x) = |x + 6|[/tex]

Required

The domain and the range

First, we calculate the domain

[tex]f(x) = |x + 6|[/tex]

The above function does not have roots or fraction, where x is the denominator. This means that the domain is all real numbers, i.e. [tex](-\infty,\infty)[/tex]

The range

The function is an absolute function; So, the minimum value is 0.

Hence, the range is:

[tex]f(x) \ge 0[/tex]

Answer:

A

Step-by-step explanation:

on edge

Answer:

(x + 5)²

Step-by-step explanation:

Given

x² + 10x

To complete the square

add ( half the coefficient of the x- term )² to x² + 10x

x² + 2(5)x + 25

Then

x² + 10x + 25 = (x + 5)²

Answer:

18.9

Step-by-step explanation:

if 200miles = 9gallons

then 420miles = ?

note:if more less divide and if less more divide.

so it is 420/200×9=18.9

Answer:

9/8 = n

Step-by-step explanation:

9 = 8n

Divide each side by 8

9/8 = 8n/8

9/8 = n

The approximate circumference of the base of the cylinder is 37.7 cm

The square based prism and a cylinder both have the same height of 4cm and the same base area.

volume = BH

where

Therefore,

volume of squared base prism = 452

452 = 4B

B = 452 / 4

B = 113

Therefore,

base area of the cylinder = 113 = πr²

Hence,

113 / π = r²

r = √113 / π

circumference of the base of the cylinder = 2πr

circumference of the base of the cylinder = 2 × π × √113 / π

circumference of the base of the cylinder = 2 × 3.14 × 5.99891656885

circumference of the base of the cylinder = 37.6731960524

circumference of the base of the cylinder = 37.7 cm

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Answer:

b= sin(43°) * 8 / sin(55°) ≈ 6.7

Step-by-step explanation:

Regarding the law of sines, each angle corresponds to the side opposite of it. Here, that means that the 82 degree angle is opposite of side c (so they correspond) and that the 55 degree angle corresponds to the side with 8cm. However, we are trying to find the length of side b. Therefore, assuming that the side with 8cm is side A, if we know that

sin A / a = sinB/b = sin C / C

= sin(55°)/8 = sinB/b = sin(82°) / c, we can take c out of the equation to get

sin(55°)/8 = sinB/b

If we know sinB, we can multiply both sides by 8 to remove a denominator to get

sin(55°) * b / 8 = sinB

multiply both sides by 8 to remove the other denominator to get

sin(55°) * b = sinB * 8

divide both sides by sin(55°) to isolate the b

b = sinB * 8/sin(55°).

Therefore, if we know sinB, we can figure out the length of b.

Because the angles of a triangle add up to 180 degrees, we can say that

180 = 82 + 55 + angle B

180 = 137 + B

subtract both sides by 137 to isolate B

43 = B

b= sin(43°) * 8 / sin(55°) ≈ 6.7

Answer:

lol Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The function C has a range of (-infinity, a] and domain [b, infinity)

Answer:

C

Step-by-step explanation  

The y-intercept is 1, the slope is -1/3, and the shaded area is under the graph because y is LESS than -x/3 + 1.

Answer:

zero

Step-by-step explanation:

[tex]\overrightarrow{u} = \overrightarrow{a} - \overrightarrow{b}\\\\\overrightarrow{v}= \overrightarrow{a} + \overrightarrow{b}\\\\\overrightarrow{u} . \overrightarrow{v} = a^2 - b^2 \\\\\overrightarrow{u} . \overrightarrow{v} = 2^2 - 2^2 = 0[/tex]

So, vector u and vector v are perpendicular to each other.

Answer:

y - 4 = -2/3 (x + 1)

Step-by-step explanation:

y2 - y1 / x2 - x1         -2 - 4 / 8 - (-1)      -6/9     = -2/3

y - 4 = -2/3 (x + 1)

i hope these 3 images helps

You get a pie chart to do percentages just so you dont cheat you still can do work y'know

=======================================================

Work Shown:

Use that given info to say the following:

P(LC given S) = P(LC and S)/P(S)

P(LC and S) = P(LC given S)*P(S)

P(LC and S) = 0.31*0.226

P(LC and S) = 0.07006

P(LC and S) = 0.07

This problem is an example of using conditional probability.

I used "and" in place of the intersection symbol [tex]\cap[/tex]

Saying P(LC and S) is the same as P(S and LC). The order doesn't matter.

Answer:

An axiom is often a statement assumed to be true for the sake of expressing a logical sequence. ... These statements, which are derived from axioms, are called theorems. A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives.

hope it helps

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Answer:

A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives. ... An axiom is a statement that is assumed to be true without any proof, while a theory is subject to be proven before it is considered to be true or false.

[/tex][tex]\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1{cm}^{2}}[/tex][/tex]

[tex]\\[/tex]

[tex]\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1}{cm}^{2}}[/tex]

[tex]\:[/tex]

[tex]\sf{\red{\dfrac{\tan\theta}{\sec\theta - 1}=\dfrac{\tan\theta + \sec\theta + 1}{\tan\theta + \sec\theta - 1}\:cm^{2}}}[/tex]

Answer:

Step-by-step explanation:

Find the slope of the line

(x₁ , y₁) = (6 , 8)   & (x₂ , y₂) = (0 , 5)

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{5-8}{0-6}\\\\=\frac{-3}{-6}\\\\=\frac{1}{2}[/tex]

m = 1/2  ;(x₁ , y₁) = (6 , 8)

y - y₁ = m(x - x₁)

[tex]y - 8 = \frac{1}{2}(x - 6)\\\\y - 8 =\frac{1}{2}x -\frac{1}{2}*6\\\\y - 8 =\frac{1}{2}x- 3\\\\y = \frac{1}{2}x - 3 + 8\\\\y = \frac{1}{2}x + 5[/tex]

Answer:

-25(t +7)

Step-by-step explanation:

-25t - 175

Factor out -25

-25 *t  +-25* 7

-25(t +7)

When two line segments intersects, a set of vertically opposite angles are formed. So that by comparison of angles formed in the attachment, a set of vertically opposite angles formed are: >AOC and >BOD; then >AOD and >BOC.

A pair of vertically opposite angles are formed when two lines meet at a point. And the pair of vertically opposite angles formed are said to have equal size.

From the given question, line segment AB intersecting CD at point O would produce a set of vertically opposite angles. So that each pair has equal size.

From the attached diagram, it can be observed that;

m>AOC = m>BOC = m>AOD = m>BOD = [tex]90^{o}[/tex]

But;

m>AOC ≅ m>BOD = [tex]90^{o}[/tex] (vertically opposite angle property)

also,

m>AOD ≅ m>BOC = [tex]90^{o}[/tex] (vertically opposite angle property)

Therefore it can be verified that each pair of vertically opposite angles are equal.

NB: The required diagram to the question is herewith attached to this question for more clarifications and reference.

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Answer:

1

Step-by-step explanation:

1

9514 1404 393

Answer:

  (d)  25°

Step-by-step explanation:

Each diagonal represents a transversal between parallel lines. Alternate interior angles are congruent, so ...

  ∠BDC ≅ ∠DBA = 25°

Answer:

(x-5)(x+2)(x+4)

Step-by-step explanation:

I just did It

Answer:

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Step-by-step explanation: