An engineer is estimating the weight of a steel beam. The actual weight of the beam is 152 pounds. The engineer's estimate is 150 pounds.
Find the absolute error and the percent error of the engineer's estimate. If necessary, round your answers to the nearest tenth.

Answer:

B. Width = 55ft; length = 70ft

Step-by-step explanation:

it is the only one in which the length is 15 ft longer than that of the width.

Answer:

[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Determine the slope (m):

[tex]y=\displaystyle-\frac{4}{3}x -1[/tex]

The slope of the given line is [tex]\displaystyle-\frac{4}{3}[/tex], since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be [tex]\displaystyle-\frac{4}{3}[/tex]. Plug this into y=mx+b:

[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]

Determine the y-intercept (b):

[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]

To find the y-intercept, plug in the given point (6,14) and solve for b:

[tex]14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22[/tex]

Therefore, the y-intercept of the line is 22. Plug this back into [tex]y=\displaystyle-\frac{4}{3}x+b[/tex]:

[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]

I hope this helps!

Answer:

Step-by-step explanation:

Answer:

m∠1 = 63

m∠2 = 49

m∠3 = 87

m∠4 = 44

Step-by-step explanation:

Angle 2 and 49 are similar

Angle 2 = 49

Angle 1 + 49 + 68 = 180

180 - 49 - 68 = Angle 1

180 - 49 - 68 = 63

Angle 1 = 63

Angle 3 + 93 = 180

180 - 93 = Angle 3

180 - 93 = 87

Angle 3 = 87

Angle 4 + 49 + 87 = 180

180 - 49 - 87 = Angle 4

180 - 49 - 87 = 44

Angle 4 = 44

Step-by-step explanation:

A straight angle measures 180°.

m∠3 = 180 - 93

m∠3 = 87

The sum of the three angles of any triangle is equal to 180°.

m∠4 = 180 - (49 + 87)

m∠4 = 180 - 136 = 44

The vertically opposite angle.

so m∠2 = 49

The sum of the three angles of any triangle is equal to 180°.

m∠1 = 180 - (68 + 49)

m∠1 = 180 - 117 = 63

please give me a brainliest answer

Answer:

0 is the answer on 16 x 64y

Answer:

1  x = 4      y= 2/3  = 1. 66667   see attached and join the lines to create shaded area.

Step-by-step explanation:

2x -3y = 3

16x (64y) = ?

we can multiply the 2x by 8 to find x = 16 and -3y = -24y and 3 = 24

as shown 2nd one.

16x + (64y) =  c

16x -24y = 24    =   64y - 24y = c

40y = c - 24

40y/24 = y

1.66667 = y

y = 1.6667 or  1  2/3

2x -3 (  1 2/3 ) = 3

2x - 5 = 3

2x = 8

x = 4

y = 1. 66657

Answer:

Answer:

8% is the answer

Answer:

8%

Step-by-step explanation:

Answer:

I think that the answer is B.

Step-by-step explanation:

go on demos and put in the problem on the left side. and the dot should be on the number two. and in the picture you have^ . it has the same dot as demos.

Answer:

1 1/2

Step-by-step explanation:

to Express 1.5 as a fraction,we need to write the given decimal number in the x/y form, where c and y are the positive integers

Answer:

3.4%

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Given is an isosceles triangle and so:

3x + 20 = 5x export like terms to the same side of the equation

20 = 5x - 3x

20 = 2x divide both sides by 2

10 = x

Answer:

99

Explanation:

The largest 2-digit number is 99 as the next number is 100 which is a 3-digit number

Answer:

BP

Step-by-step explanation:

the letters are congruent in order, so the last 2 letters of both sides are congruent

Answer:

I think I know !

Step-by-step explanation:

Answer:

Non Proportional

Step-by-step explanation:

As it does not pass through the origin.

Answer:

[tex]d=2[/tex] and [tex]d=3[/tex]

Step-by-step explanation:

[tex]d^2-5d+6=0[/tex]

[tex](d-2)(d-3)=0[/tex]

[tex]d=2[/tex] and [tex]d=3[/tex]

Answer:

equation : x = -3

slope : undefined

Step-by-step explanation:

The equation says that it is parallel to y-axis, meaning all the x values are the same. the slope is undefined because of (HOY / VUX)

Answer:

√2

Step-by-step explanation:

given points are,

A = (4,5)

B = (3,4)

we know,

D = √(x_2 - x_1)² + (y_2 - y_1)²

→ √(3-4)² + (4-5)²

→ √(-1)² + (-1)²

→ √1 + 1

→ √2

therefore, distance between A and B is √2.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

3) -4

Step-by-step explanation:

Hi there!

2x + 4y = -16

The y-intercept occurs when x=0. Replace x with 0 and solve for y:

2(0) + 4y = -16

4y = -16

y = -4

Therefore, the y-intercept is -4.

I hope this helps!

Answer:

m<ADB = m<DBC

because they're alternate interior angles.

m<ABD = m<BDC

because they're alternate interior angles.

DC = AB, opposite sides.

AD = BC, opposite sides.

m<ADB = m<ABD, adjacent angles.

m<BDC = m<DBC, adjacent angles.

It looks like an equilateral triangle (equal sided) so y=1

Hope this helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

Answer: 1.

Step-by-step explanation:

The triangle in the picture is an equilateral triangle, meaning that all the sides are equal. Since we know that one of the sides is equal to one according to the picture, we know that the answer is 1.

Answer:

[tex]\boxed{m=\frac{5}{11}}[/tex]

Step-by-step explanation:

[tex]\left(2,\:3\right)\:\left(13,\:8\right)[/tex]

[tex]\mathrm{Slope}=\cfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:3\right)[/tex]

[tex]\left(x_2,\:y_2\right)=\left(13,\:8\right)[/tex]

[tex]Slope(m)=\frac{8-3}{13-2}[/tex]

[tex]m=\frac{5}{11}[/tex]

Step-by-step explanation:

Search for questions & chapters

Class 11

>>Maths

>>Trigonometric Functions

>>Trigonometric Equations

>>Solve for x: sin x + sin 2x...

Question

Bookmark

Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.

Medium

Solution

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We write the given equation as

(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x

or 2sin2xcosx+sin2x=2cos2xcosx+cos2x

or sin2x(2cosx+1)=cos2x(2cosx+1)

or (sin2x−cos2x)(2cosx+1)=0

∴sin2x−cos2x=0 or 2cosx+1=0

If sin2x−cos2x=0, then tan2x=1,

Hence 2x=nπ+π/4

or x=(4n+1)

8

π

.(1)

If 2cosx+1=0, then cosx=−1/2 (2)

∴x=2nπ±

3

2π

or x=

3

6n±2

π

We seek values of x in the interval 0≤x≤2π

In this interval (1) gives

x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)

and (2) gives x=2π/3,4π/3. (for n=0,1)

Thus we get the answer

x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.

Answer:

The answer is - 113 that is the correct answer skipping in three's and the first one is - 97

Answer:

-97, -101, -105, -109, -113, -117

Step-by-step explanation:

the order was add -4 each time

A triangle’s three angles sums up to 180 degrees. So the first thing you should do is subtract 50 from 180

180 - 50 = 130

Since it’s an isosceles triangle, ∠A and ∠B are of equal size. So we divide the result, 130, by two. This would give us the m∠A, which is 65.

130/2 = 65

The x-intercept occurs when y = 0. Therefpre if we make y = 0, and solve for x, then we can find the x-intercept.

since    x − 7(0) = –10

⇒             x − 0 = –10

                     x = -10

Answer:

x=35/4

Step-by-step explanation:

20x +5=180

20x=180-5

20x=175

x=175/20=35/4

Answer:

[tex]x=8.75[/tex]

Step-by-step explanation:

[tex]8x-6+11+12x=180~(Given)\\\\20x+5=180~(Simplify)\\\\20x+5-5=180-5~(Subtract~5~on~both~sides)\\\\20x=175~(Simplify)\\\\\frac{20x}{20}=\frac{175}{20}~(Divide~20~on~both~sides)\\\\x=8.75[/tex]

Answer:

7.5×10^-3

Step-by-step explanation:

[tex] \frac{ 0.027}{64000} = \frac{2.7 \times{10}^{ - 2} }{6.4 \times {10}^{4} } [/tex]

due to the law of indices :

[tex] = 4.21875 \times 10 ^{ - 7} [/tex]

don't forget

(0.027/64000)⅓

so :

[tex] ({4.21875 \times {10}^{ - 7} })^{ \frac{1}{3} } [/tex]

i.e third root of the answer above

[tex] = 7.5 \times {10}^{ - 3} [/tex]

Answer:

x = - [tex]\frac{5}{6}[/tex] , x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

To find the zeros let f(x) = 0 , that is

12x² + 4x - 5 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 12 × - 5 = - 60 and sum = + 4

The factors are - 6 and + 10

Use these factors to split the x- term

12x² - 6x + 10x - 5 = 0 ( factor first/second and third/fourth terms )

6x(2x - 1) + 5(2x - 1) = 0 ← factor out (2x - 1) from each term

(2x - 1)(6x + 5) = 0

Equate each factor to zero and solve for x

6x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - [tex]\frac{5}{6}[/tex]

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

Answer: I gotchu it’s

9 and 1/5

Step-by-step explanation: