About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number.


183 meters

250 meters

366 meters

683 meters

Answers

Answer 1

Answer:

A. 183 meters

Step-by-step explanation:

Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B. About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number. A) 183 meters B) 250 meters C) 366 meters D) 683 meters

Find distance BC

Cos (60°)=BC / AB (Adjacent divided by the hypotenuse)

Cos (60°)=1/2

BC=a

AB=500

Cos (60°)=BC / AB

1/2=a/500

1/2 * 500=a

250=a

a=250m

Find distance AC

Sin(60°)=AC/AB (opposite side divided by hypotenuse)

Sin(60°)=√3/2

AC=b

AB=500

Sin(60°)=AC/AB

√3/2=b/500

√3/2 * 500=b

250√3=b

b=433m

Distance AC and BC=AC+BC

433m+250m=683m

Subtract the distance AB from AC+BC

= 683m - 500m

=183m

Answer is A. 183 meters

About How Much Farther Is It To Drive Than To Walk Directly From Building A To Building B? Round To The
Answer 2

Answer:

A. 183 meters

Step-by-step explanation:

sin(60) = x/500

= 433

tan(60) = 433/x

= 250

This is the driving distance. 433+250= 683. Directly walking (using hypotenuse distance) is 500.

683-500=183!


Related Questions

If everybody on the team scores 6 points, and the team has a total of 42 points, how many people are on the team? 6 p = 42 7 p = 42 6 + p = 42 42 - p = 6

Answers

Answer: 7 people

Explanation:

6p = 42
P = 42/6
P = 7

If everybody on the team scores 6 points, and the team has a total of 42 points, the people that are on the team are 7 people.

What is addition?

The addition is one of the four basic mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

The addition is a method of merging items and counting them as a single, large group. In mathematics, addition is the process of joining two or more integers.

The process of adding two or more numbers together to get their sum is known as an addition. The addition is a fundamental arithmetic operation that is used to compute the sum of two or more numbers. For instance, 7

+ 7 = 14.

6p = 42

P = 42/6

P = 7

Therefore, the people that are on the team are 7 people.

To learn more about addition, refer to the link:

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What is the answer??

c — 10 ≥ 15

Answers

Answer:

Step-by-step explanation:

c - 10  ≥  15 =

c  ≥ = 15 + 10

c  ≥ = 25

c  = 26 ( or numbers above 26)

PLEASE HELP!! It’s for a math class and I can’t figure it out been trying every website nothing has helped!

Answers

Answer:

11.6%

I hope this helps!

Solve for x : 2^(x-5) . 5^(x-4) = 5​

Answers

Answer:

x = 5

Step-by-step explanation:

Notice that there is also a base 5 on the right hand side of the equation, therefore, let's move [tex]5^{x-4}[/tex] to the right by dividing both sides by it. and then re-writing the right hand side as 5 to a power:

[tex]2^{x-5}\,*\,5^{x-4}=5\\2^{x-5}=5/5^{x-4}\\2^{x-5}=5\,*\,5^{4-x}\\2^{x-5}=5^{5-x}[/tex]

Now apply log to both sides in order to lower the exponents (where the unknown resides):

[tex](x-5)\,log(2)=(5-x)\,log(5)[/tex]

Notice that when x = 5, this equation is true because it makes it the identity: 0 = 0

So, let's now examine what would be the solution of x is different from 5, and we can divide by (x - 5) both sides of the equation:

[tex]log(2)=\frac{5-x}{x-5} \,log(5)\\log(2)=-1\,\,log(5)\\log(2)=-log(5)[/tex]

which is an absurd because log(2) is [tex]\neq[/tex] from log(5)

Therefore our only solution is x=5

Answer:

if decimal  no solution

if multiply x =5

Step-by-step explanation:

If this is a decimal point

2^(x-5) . 5^(x-4) = 5

Rewriting .5 as 2 ^-1

2^(x-5)  2 ^ -1 ^(x-4) = 5

We know that a^ b^c = a^( b*c)

2^(x-5)  2 ^(-1*(x-4)) = 5

2^(x-5)  2 ^(-x+4) = 5

We know a^ b * a^ c = a^ ( b+c)

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

2^(-1) = 5

This is not true so there is no solution

If it is multiply

2^(x-5)  * 5 ^(x-4) = 5

Divide each side by 5

2^(x-5)  * 5 ^(x-4) * 5^-1 = 5/5

We know that a^ b * a^c = a^ ( b+c)

2^(x-5)  * 5 ^(x-4 -1)  = 1

2^(x-5)  * 5 ^(x-5)  = 1

The exponents are the same, so we can multiply the bases

a^b * c*b = (ac) ^b

(2*5) ^ (x-5) = 1

10^ (x-5) = 1

We know that 1 = 10^0

10^ (x-5) = 10 ^0

The bases are the same so the exponents are the same

x-5 = 0

x=5


If triangle ABC, m B = 90°, cos(9 = 17, and AB = 16 units.
Based on this information, m Note that the angle measures are rounded to the nearest degree.
units.

Answers

Answer:

m∠A = 62°

m∠C = 28°

AC = 17 units

Step-by-step explanation:

In the given triangle ABC,

m∠B = 90°, Cos(C) = [tex]\frac{15}{17}[/tex] and AB = 16 units

Since, Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}[/tex]

Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}=\frac{15}{17}[/tex]

[tex]\text{C}=\text{Cos}^{-1}(\frac{15}{17})[/tex]

m∠C = 28.07°

m∠C ≈ 28°

Therefore, side BC = 15 units and AC = 17 units

Now we apply Sine rule in the given triangle.

Sin(A) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{\text{BC}}{\text{AC}}[/tex]

         = [tex]\frac{15}{17}[/tex]

A = [tex]\text{Sin}^{-1}(\frac{15}{17} )[/tex]

A = 61.93°

m∠A = 62°

Simplify 6 to the second power

Answers

Answer:

36

Step-by-step explanation:

[tex]6^2 =6\times 6\\\\= 36[/tex]

What is the volume of this rectangular prism?
3 cm
cm
1
cm

Answers

Answer:

.75cm³

Step-by-step explanation:

To find the volume of a shape like this it is,

base×height×width.

In this case it is .5×.5×3=.75cm³

Answer:

3/4 or 0.75

Step-by-step explanation:

Length times width times height:

1/2 * 1/2 * 3

= 3/4

[tex] \frac{ {9x}^{2} - {(x}^{2} - 4) {}^{2} }{4 + 3x - {x}^{2} } [/tex]
pls help me need help asap

Answers

Answer:

[tex] { x^2+3x-4} [/tex]

Step-by-step explanation:

Factor top and bottom.

The numerator is a difference of two squares, and the denominator is a quadratic.

[tex] \frac{ {9x}^{2} - {(x}^{2} - 4)^{2} }{4 + 3x - {x}^{2} } [/tex]

= [tex]\frac{ (3x+x^2-4)(3x-x^2+4) }{(1+x)(4-x)}[/tex]

= [tex] \frac{ (x-1)(x+4) (1+x)(4-x) }{(1+x)(4-x)} [/tex]

If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give

= [tex] { (x-1)(x+4)} [/tex]

= [tex] { x^2+3x-4} [/tex]

Answer:

The answer is

x² + 3x - 4

Step-by-step explanation:

[tex] \frac{9 {x}^{2} - ( { {x}^{2} - 4})^{2} }{4 + 3x - {x}^{2} } [/tex]

To solve the expression first factorize both the numerator and the denominator

For the numerator

9x² - ( x² - 4)²

Expand the terms in the bracket using the formula

( a - b)² = a² - 2ab + b²

(x² - 4) = x⁴ - 8x² + 16

So we have

9x² - (x⁴ - 8x² + 16)

9x² - x⁴ + 8x² - 16

- x⁴ + 17x² - 16

Factorize

that's

(x² - 16)(-x² + 1)

Using the formula

a² - b² = ( a + b)(a - b)

We have

(x² - 16)(-x² + 1) = (x + 4)(x - 4)( 1 - x)(1 + x)

For the denominator

- x² + 3x + 4

Write 3x as a difference

- x² + 4x - x + 4

Factorize

That's

- ( x - 4)(x + 1)

So we now have

[tex] \frac{(x + 4)(x - 4)( 1 - x)(1 + x)}{ - (x - 4)(x + 1)} [/tex]

Simplify

[tex] \frac{ - (x + 4)(1 - x)(1 + x)}{x + 1} [/tex]

Reduce the expression by x + 1

That's

-( x + 4)( 1 - x)

Multiply the terms

We have the final answer as

x² + 3x - 4

Hope this helps you

need help...!!ASAP..!! plz....

Answers

the answer for this is A

Answer:

Correct option is A

Step-by-step explanation:

3x - 7

Three times a number x minus 7

Or

The difference of there times a number and 7

According to the graph, what is the value of the constant in the equation
below?
A. 30
B. 72
C. 60
D. 15

Answers

Greetings from Brasil...

As stated in the statement:

HEIGHT = CONSTANT ÷ WIDTH

H = C ÷ W

so, isolating the variable C....

C = H · W

choosing any point on the graph...

(2; 30)  ⇒ W = 2 and H = 30

C = H · W

C = 30 · 2

C = 60

The value of the constant in the equation shown in the figure would be, 60. Hence option C is true.

Given that,

The graph is the relation between Height and width.

As is given in the graph:

Height = Constant / Width

We observe that the graph passes through (2,30), (5,12), (10,6), (30,2)

So, by using any one point we may get the value of constant( since it is a fixed quantity)

Hence, using the point (2,30)

Width = 2

And, Height = 30

So, we get:

Constant = 2 × 30

= 60

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The ratio of two numbers is 2:3 and the sum of their cubes is 945,what are the two numbers. let the 1st no be=2x and 2nd=3x (2x)^3 + (3x)^3=945

Answers

Answer:

        The first number is 6,  the second number is 9

Step-by-step explanation:

a:b = 2:3

a = 2x    - first number

b = 3x   - second number

a³ + b³  =  945

[tex](2x)^3 + (3x)^3=945\\\\8x^3 +27x^3=945\\\\35x^3 = 945\\\\x^3=945:35\\\\x^3=27\\\\ x^3=3^3\\\\x=3\\\\\\a=2\cdot3 = 6\\\\b=3\cdot3=9[/tex]

when the point ( k, 3 ) lies on each of these lines, find the value of k y= 3x+1 , y= 4x-2 , y=1/2x - 1 and 2x+3y=4

Answers

Answer:

see explanation

Step-by-step explanation:

Since (k, 3) lies on each of the lines, the point satisfies the equations.

Substitute x = k, y = 3 into each and solve for k

y = 3x + 1

3 = 3k + 1 ( subtract 1 from both sides )

2 = 3k ( divide both sides by 3 )

k = [tex]\frac{2}{3}[/tex]

-------------------------------------------------------

y = 4x - 2

3 = 4k - 2 ( add 2 to both sides )

5 = 4k ( divide both sides by 4 )

k = [tex]\frac{5}{4}[/tex]

--------------------------------------------------------

y = [tex]\frac{1}{2}[/tex] x

3 = [tex]\frac{1}{2}[/tex] k ( multiply both sides by 2 to clear the fraction )

k = 6

---------------------------------------------------------

2x + 3y = 4

2k + 3(3) = 4

2k + 9 = 4 ( subtract 9 from both sides )

2k = - 5 ( divide both sides by 2 )

k = - [tex]\frac{5}{2}[/tex]

Find the missing the side of the triangle A. 130−−−√ m B. 179−−−√ m C. 42–√ m D. 211−−−√ m

Answers

Answer:

The answer is option A

Step-by-step explanation:

Since the triangle is a right angled triangle we can use the Pythagoras theorem to find the missing side

Using the Pythagoras theorem

That's

[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]

From the question

x is the hypotenuse or the longest side of the triangle

Substituting the values into the above formula we have

[tex] {x}^{2} = {9}^{2} + {7}^{2} [/tex]

[tex] {x}^{2} = 81 + 49[/tex]

[tex] {x}^{2} = 130[/tex]

Find the square root of both sides

We have the final answer as

x = √130 m

Hope this helps you

The marketing department at Quality Home Improvement Center (QHIC) uses simple linear regression analysis to predict home upkeep expenditure on the basis of home value. Predictions of home upkeep expenditures are used to help determine which homes should be sent advertising brochures promoting QHIC's products and services.

Answers

Full question :

The Tasty Sub Shop Case:

A business entrepreneur uses simple linear regression analysis to predict the yearly revenue for a potential restaurant site on the basis of the number of residents living near the site. The entrepreneur then uses the prediction to assess the profitability of the potential restaurant site.

And

The QHIC Case:

The marketing department at Quality Home Improvement Center (QHIC) uses simple linear regression analysis to predict home upkeep expenditure on the basis of home value. Predictions of home upkeep expenditures are used to help determine which homes should be sent advertising brochures promoting QHIC’s products and services.

Discuss the difference in the type of prediction in both cases and provide rational of the reasons that these predictions were used.

Answer and explanation:

In the first case, The Tasty Sub Shop Case, the entrepreneur aims to utlilize the predicted values from his regression analysis in ascertaining profit of his potential business. He does this using the values from number of residents in the area(independent variables) to predict the revenue for his business(dependent variables). His predictions using the number of residents in the area are largely because the residents in the area are his target consumers and are the ones to buy food from his restaurant and increase his revenue.

In the other case, the marketing department in QHIC utilizes the predicted values in determining their customers who need to be aware of their products. They get the predicted values(home upkeep expenditure and dependent variable) by plotting their relationship with home value(independent variable) and then use predicted values of home upkeep expenditures in determining their customers who they will market their products to. They do this because predicting home upkeep expenditures will enable them determine what homes can afford or will need their products and services.

one utilizes his predictions at ascertaining profit while the other uses his predictions in determining potential customer base to market products to. The first case is making a revenue/ profitability prediction while the other is making a market prediction

Which of the following are true statements about David Hilbert?
He invented the point.
He was a German mathematician.
n He developed Hilbert's axioms.
He wrote a blography on Euclid.
Hilbert's Improvements to geometry are still used in textbooks today.

Answers

Answer:

he invented the point

he was a German mathematician

he  Hilbert's improvements to geometry are still used in textbooks today

he developed Hilbert's axioms

Step-by-step explanation:

Answer:

He was a German mathematician.

If only one is true then you're good to go.

Whoops never mind.. :/

For all x, 5-3(x-4)=?

Answers

Answer:

the answer that i find is 17-3x

Please help me Tramserran mam...​

Answers

Answer:  see proof below

Step-by-step explanation:

Use the following when solving the proof...

Double Angle Identity: cos2A = 1 - 2sin²B

Pythagorean Identity: cos²A + sin²A = 1

note that A can be replaced with B

Proof from LHS → RHS

Given:                            cos²A + sin²A · cos2B

Double Angle Identity: cos²A + sin²A(1 - 2sin²B)

Distribute:                      cos²A + sin²A - 2sin²A·sin²B

Pythagorean Identity:                        1 - 2sin²A·sin²B

Pythagorean Identity:   cos²B + sin²B - 2sin²A·sin²B

Factor:                           cos²A + sin²B(1 - 2sin²A)

Double Angle Identity: cos²B + sin²B · cos2A

cos²B + sin²B · cos2A = cos²B + sin²B · cos2A  [tex]\checkmark[/tex]

Write a function rule for the table
х
f(x)
0
3
1
4
2
5
3
6

Answers

Answer:

  f(x) = x +3

Step-by-step explanation:

The first differences for adjacent x-values are all 1, so this is a linear function. Because those differences are all 1, it is a linear function with a slope of 1. We observe that f(0) = 3, so that is the y-intercept.

__

The slope-intercept form of a linear function is ...

  y = mx + b . . . . . where m is the slope (1) and b is the y-intercept (3).

A suitable function rule is ...

  f(x) = x +3

earth is 93 million miles from the sun, while mars is 142 million miles from the sun. Theoretically, what is the closest distance mars could be to earth

Answers

Answer:

169.74

Step-by-step explanation:

this problem is like a triangle, the sun, mars, and earth are the three points, so you just use a^2 + b^2 =  c^2 so basically

93^2 + 142^2 = c^2

8649 + 20164 = 28813

28813 square root = 169.74

Two shaded identical rectangular decorative tiles are first placed (one each) at the top and at the base of a door frame for a hobbit's house, as shown in Figure 1. The distance from W to H is 45 inches. Then the same two tiles are rearranged at the top and at the base of the door frame, as shown in Figure 2. The distance from Y to Z is 37 inches. What is the height of the door frame, in inches?

Answers

Answer:

41 inches

Step-by-step explanation:

Let the point at the top of the door on the left be x

Wx + xH = 45

Let the point at the top of the door  on the right be c

Yc + cZ = 37

We know the door is

xH +  plus the width of the tile

The width of the tile is Yc

xH + Yc

On the right door

cZ +  the height of the tile

cZ + Wx

Add the two doors together

xH + Yc + cZ + Wx = 2 times the height of the door

Rewriting

xH +  Wx +  Yc + cZ = 2 times the height of the door

45+ 37 = 2 times the door height

82 = 2 times the door height

Divide by 2

41 = door height

PLEASE HELP ME FAST...​

Answers

Answer:

Sequence a) Pattern: (-2) -9, -11, -13, -15, -17

Sequence b) Pattern: (-5) -15, -20, -25, -30, -35

Sequence c) Pattern: (-6) -13, -19, -25, -31, -37

Hope this helps!

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------------------------

A (Subtracting by 2): -9, -11, -13, -15, -17.

B(Subtracting by 5): -15, -20, 25, -30, -35

C(Subtracting by 6): -13, -19, -25, -31, -37

Which data set has an outlier?

Answers

Answer:

Option B

Step-by-step explanation:

You can tell this because it has the largest difference from the second highest listed value.

Answer:

Answer Is D

Step-by-step explanation:

Scarlett made a scaled copy of the following quadrilateral. She used a scale factor greater than 1. What could be the length of the side that corresponds with angle AD on the scaled copy of the quadrilateral? Choose 2 answers.

Answers

Answer:

Step-by-step explanation:

First of all AD is 9 units long. Anything less than or equal to 9 is not an answer because the scale factor is greater than 1. That means that anything over 9 will work.

So the answer must be 12 or 15 from those answers given.

Answer:

Answer

Step-by-step explanation:

The answer is 12 AND 15

D and E

when simplifying the expression y=(2x(x-3)(x-3))/(x-1)(x-3) do all of the x-3 s get cancelled or just one in the numerator and one in the denominator?​

Answers

Answer:

x-3 is cancelled and just one remains in numerator.

Solve for x 3(x+7)-14=22

Answers

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Hi my lil bunny!

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Let's solve your equation step-by-step.

[tex]3(x+7)-14=22[/tex]

Step 1: Simplify both sides of the equation.

[tex]3 ( x + 7 ) - 14 = 22\\(3)^(x) + (3) (7) + - 14 = 22[/tex] (Distribute)

[tex]3x + 21 + -14 = 22[/tex]

[tex]( 3x) + (21 + -14 ) = 22[/tex] (Combine Like Terms)

[tex]3x + 7 = 22\\3x + 7 = 22[/tex]

Step 2: Subtract 7 from both sides.

[tex]3x + 7 - 7 = 22 - 7 \\3x = 15[/tex]

Step 3: Divide both sides by 3.

[tex]\frac{3x}{3} = \frac{15}{3} \\x = 5[/tex]

So your answer would be : [tex]\boxed {x = 5}[/tex]

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Have a great day/night!

❀*May*❀

Simplify the expression a-2b, when a=1.4 - 2x and b=-0.2x + 1.7 *

Answers

Answer:

a-2b= -1.6x-2.0

Step-by-step explanation:

[tex]a=1.4-2x\\b=-0.2x+1.7\\a-2b= (1.4-2x)-2(-0.2x+1.7)\\a-2b= 1.4-2x+0.4x-3.4\\a-2b=-1.6x-2.0\\[/tex]

{By, substituting the values of a and b in a-2b , we can find the value of a-2b}

The formula for the area of a triangle is A = 12bh, where b is the base of the triangle and h is the height of the triangle. What is the length of the base if the area is 32 cm2 and the height is 4 cm? A. 4 cm B. 8 cm C. 16 cm D. 18 cm

Answers

Answer:

guys its 8cm its the most logic answer because 8x 4 is 32, correct me if im wrong

Step-by-step explanation:

Parabolic microphones are used for field audio during sports events. The microphones are manufactured such that the equation of their cross section is x=1/34y^2, in inches. The feedhorn part of the microphone is located at the focus

a. How far is the feedhorn from the edge of the parabolic surface of the microphone?

b. What is the diameter of the microphone? Explain your reasoning

c. If the diameter is increased by 5 inches, what is the new equation of the cross section of the microphone?​

Answers

Answer:

a. 8.5 in.

b. 34 in

c. x = 1/39 x^2.

Step-by-step explanation:

Part a.

x = 1/34 y^2

y^2 = 34x

Comparing with y^2 = 4px where p is the focus:

4p = 34

p = 8.5 in.

Part b.

The diameter = 4p = 34 in.

Part c.

Diameter = 4p = 34 + 5 = 39 in

The new equation is x = 1/39 x^2.


2x + 3y = 40
5x + 2y = 30​

Answers

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          Hi my lil bunny!

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A) Let's solve for x.  [tex]2x + 3y = 40[/tex]

Step 1: Add -3y to both sides.

[tex]2x + 3y + -3y = 40 + -3y[/tex]

[tex]2x = -3y + 40[/tex]

Step 2: Divide both sides by 2.

[tex]\frac{2x}{2} = \frac{-3y + 40}{2}[/tex]

[tex]x = \frac{-3}{2} y + 20[/tex]

Answer : [tex]\frac{-3}{2} y + 20[/tex]

~~~~~~~~~~~~~~~~~

B) Let's solve for x. [tex]5x + 2y = 30[/tex]

Step 1: Add -2y to both sides.

[tex]5x + 2y + -2y = 30 + -2y[/tex]

[tex]5x = -2y + 30[/tex]

Step 2: Divide both sides by 5.

[tex]\frac{5x}{5} = \frac{-2y + 30}{5}[/tex]

[tex]x = \frac{-2}{5} y + 6[/tex]

Answer : [tex]\frac{-2}{5} y + 6[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

I think I found it
X=10/11
Y=140/11

Prove the identity sin^2theta x csc^2 theta = sin^2 theta + cos^2 theta 20 points!!

Answers

Answer:

Step-by-step explanation:

sin² Θ csc² Θ =sin² Θ + cos² Θ

sin² Θ 1/sin² Θ = sin² Θ + cos² Θ

1 = sin² Θ + cos ² Θ (this is a trig identity)

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