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3 years ago

NEED HELP, Quick !!

Mathematics

2 answers:

balandron [24]3 years ago

8 0

U will be using a scale factor of 2...because if u multiply the original dimensions by 2, you will get the new dimensions of ur drawing

Sindrei [870]3 years ago

3 0

16ft= 192 in
8ft= 96 in

192/36= 96/16 = 6

Your drawing is 1/6 of the actual billboard

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This question is from the similarity chapter. It would be really kind of you if you would answer this question.

katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

1) Determine what is required for the answers

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

2) Prove similarity

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

Angles AYX and ACB are corresponding and they both measure 90 degrees
Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

3) Solve for part A

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

$\frac{XY}{BC}=\frac{AY}{AC}$

Plug in known values

$\frac{2}{300}=\frac{11}{AC}$

Cross-multiply

$2AC=11*300\\2AC=3300\\AC=1650$

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

4) Solve for part B

To find the length of AB, we can use the Pythagorean theorem:

$a^2+b^2=c^2$ where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

$300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c$

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0

3 years ago

13. What is the result of adding 5.4a + 7.1 and -1.28 - 6.3?

den301095 [7]

Answer:

C. 4.2a + 0.8

Step-by-step explanation:

Given:

The two binomials given for addition are:

$5.4a+7.1$ and $-1.2a-6.3$

Now, adding both the binomials, we get:

$5.4a+7.1+(-1.2a-6.3)$

Distributing the positive sign inside the second binomial, we get:

$5.4a+7.1-1.2a-6.3$

Now, combining like terms using the commutative property of addition, we get:

$(5.4a-1.2a)+(7.1-6.3)$

Simplifying the above expression, we get:

$(5.4-1.2)a+0.8\\4.2a+0.8$

Therefore, the resulting addition of the given binomials is $4.2a+0.8$

Hence, option C is the correct answer.

8 0

3 years ago

A compound event consists of a certain event, an event with probability 1/4, and then an impossible event. What is the probabili

Verdich [7]

Thank you for posting your question here at brainly. Feel free to ask more questions.

The best and most correct answer among the choices provided by the question is 0 (zero). 

Hope my answer would be a great help for you.

3 0

3 years ago

Read 2 more answers

Solve for h. -18+7h>12+9h

Evgen [1.6K]

Answer:

$h$

Step-by-step explanation:

$-18+7h>12+9h$

Add 18 to both sides:

$-18+7h+18>12+9h+18$

$7h>9h+30$

Subtract 9h from both sides:

$7h>9h+30$

$-2h>30$

Multiply both sides by -1 and flip the symbol:

$\left(-2h\right)\left(-1\right)$

$2h$

Divide both sides by 2:

$\frac{2h}{2}$

$h$

4 0

4 years ago

The slope of line XY is 1/8, and XY ⊥ AB

Ahat [919]

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{\stackrel{slope}{\cfrac{1}{8}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{8}{1}}\qquad \stackrel{negative~reciprocal}{-\cfrac{8}{1}}\implies -8}$

5 0

4 years ago